how many more cartons are needed to hold 1500 books in cartons of 10 than in cartons of 15?

Answers

Answer 1
Answer: 50

see attached photo for explanation
How Many More Cartons Are Needed To Hold 1500 Books In Cartons Of 10 Than In Cartons Of 15?
Answer 2

The cartoons of 10 be 150 and cartoons of 15 be 100.

What is Unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

total books = 1500

So, cartoons of 10 needed

=1500 / 10

=150 cartoons

and, cartoons of 15 needed

=1500/15

=100 cartoons

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Related Questions

Write the percent as a decimal.
13. 47.63%

Answers

Answer:

0.4763

Step-by-step explanation:

in order to write percents as decimals, you always move the decimal to places to the left.

The answer should be 0.4763

7.28. Jason can type at a rate of 40 words per minute. How long will it take him to type a 2,000 word essay?

Answers

Answer:

Given:

Jason can type at a rate of 40 words per minute.

Find:

The time taken for him to type a 2000 words essay

Step-by-step explanation:

Using the Conversion factor.

Jason's typing essentially converts "minutes" into "words" and vice versa, so we can use a conversion factor.

We need to arrange the data so that the "words" units cancel and we are left with "minutes" units:

time = 2000 words * 1 minutes/40 words

2000/40 minutes = 50 minutes

The time taken for him to type a 2000 words essay is 50 minutes.

I’m only writing this because brainly won’t let me put it THE ANSWER IS 50

On a scale drawing 2 centimeters represent 50 meters. How many centimeters represent 5 meters?

Answers

Answer:

0.2 centimeters

Step-by-step explanation:
Strategy 1:

Make the equation: 5=a•s, where s is the scale factor and "a" is the number of centimeters which 5 meters

First, we need to find the scale factor. 50 meters would be s times greater than 2 centimeters. Find s by first converting meters into centimeters
50m=5000cm. 5000cm=2cm*s, so s = 2500
5m=a*2500, a=0.002 meters, and 0.002 meters is equal to 0.2 centimeters.

Strategy 2:
the ratio of the scale drawing to real life will always stay the same, so
2 cm / 50 meters = x / 5 meters, and cross multiply to get
x cm* 50 m = 2 cm * 5 m, so
x cm * 10 = 2 cm
x cm = 2/10 cm
x cm = 0.2 cm

Strategy 3:
Notice that 5 meters is 10 times smaller than 50 meters, so on the scale drawing, we are looking for a number 10 times smaller than 2 centimeters, so  2/10=0.2 cm

Answer:

0.2

Step-by-step explanation:

2 = 50

x = 5

50/5 = 10

do the same on the other side

so 2/10 = 0.2

Maribeth has 131 ounces of sandwich meat. How many sandwiches can she make if she puts 2.5 ounces of meat on each sandwich? She can make _____ sandwiches.

Answers

Answer:

52

Step-by-step explanation:

131 ounces/2.5 ounces=52.4

=52 sandwich

|-14| simplified

help!!

Answers

the answer will be 14.
The answer to it is 14.

helpp asap!! pls walk me thru as well!! <333

Answers

Hello!

The length and width are given.

We know the formula for calculating perimeter :

[tex]\fbox {Perimeter = 2(Length + Width)}[/tex]

Let's solve!

Perimeter = 2(123 + 17k + 24k - 49)Perimeter = 2(41k + 74)[tex]\fbox {Perimeter = 82k + 148}[/tex]

∴ The perimeter is 82k + 148.

the answer is 82k+148

Joe gained 5 pounds. John gained 14 pounds. Jordan lost 20 pounds. Josh lost 11 pounds. Who had the biggest change in weight? A. Jordan B. Joe C. John D. Josh

Answers

Answer:I think Jordan is this a trick question

Step-by-step explanation:

Jordan has the biggest weight change

1. A school athletic director asked each athletic team member to name his or her favorite professional sports team. The results are below:
• D.C. United: 3
• Florida Panthers: 8
• Jacksonville Jaguars: 26
• Jacksonville Sharks: 7
• Miami Dolphins: 22
• Miami Heat: 15
• Miami Marlins: 20
• Minnesota Lynx: 4
• New York Knicks: 5
• Orlando Magic: 18
• Tampa Bay Buccaneers: 1 7
• Tampa Bay Lightning: 12
• Tampa Bay Rays: 28
• Other: 6 One athletic team member is picked at random. What is the likelihood that this team member's favorite professional sports team is not located in Florida? A. certain B. likely, but not certain
C. unlikely, but not impossible
D. impossible

Answers

Answer:

B i believe

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

PLEASE ANSWER THIS: Andrea had $20. She bought 4 paper pads at $1.19 each, 3 notebooks at $1.89 each, and also a book at $4.95. Now she wants to use the remaining money to buy as many 79-cent pens as possible. How many pens could she buy?

Answers

Answer:

5 pens

Step-by-step explanation:

Currently she has spent:

4(1.19) + 3(1.89) + 4.95 = 15.38

She has this amount left:

$20 - 15.38 = 4.62

So if she wanted to buy as many pens with the $4.62:

4.62/0.78 = 5.84

But you can't buy .84 of a pen, so she can buy 5 pens

Answer: 5 pens

Step-by-step explanation:

FACTS:

andrea has $20.

She bought:

4 paper pads for $1.19 each

3 notebooks for $1.89 each

1 book for $4.95

Will use the remaining money to buy pens that cost 79 cents ($0.79) each.

How many pens can she buy?

Step 1: Find how much she spent on the paper pads

1.19x4= 4.76

Ans= $4.76

Step 2: Find how much she spent on notebooks

3x1.89=$5.67

Ans= $5.67

Step 3: Find how much she has spent so far.

4.76 + 5.67 +4.95= $15.38

Step 4; Find how much she has left.

20-15.38= 4.62

Step 5: Find the number of pens she can buy.

She has $4.62 to buy pens that cost $0.79 (79 cents) each. how many pens can she buy?

To solve this, divide 4.62÷0.79. the decimal makes no difference in what operation you do.

4.62÷0.79= 5.84810126582 which rounds to 5.8 which rounds to 6.

Step 6: Check

REMEMBER:

pens cost $0.79 each

we're assuming she got 6 pens

in order for 6 to be correct, 6x0.79 MUST equal 4.62 or less because that's how money she had to spend on pens.

0.79x6= 4.74. It's wrong. In this case, it's always the number that comes before it, in this case 5.

Even though 5x0.79= 3.95 which is less than 4.62, it must be correct because it makes so much more sense to have some money left than spend more than what you even have. In questions like this, don't always rely on rounding.

Answer= 5 pens

Help me pleaaseee!!!!!!! I'll give you brainliest if theres another answer on this.

Answers

Answer:

Please see attached image

Step-by-step explanation:

it would be.
7
6
3
2
1
4
5

PLEASE ANYONE: The percent of change when a new value is larger than the original value is called a percent of _________?

A. Change
B. Decrease
C. Increase
D. Interest

Answers

Answer:

C. Increase

Step-by-step explanation:

Since the new value is larger than the original value, there was an increase in the number, so it is called percent of increase.

Answer:

Increase

Step-by-step explanation:


Let's say that 50% of people liked ice cream in 2020. In 2022, 65% of people liked ice cream. There is an increase of people liking ice cream. So, it is called a percent increase.

Remember...

A) A percent change can be either an increase OR a decrease.

B) A decrease can only LOWER the percentage

So, it has to be C.

Let N be a number created by repeating any two identical three-digit strings. That is, N=ABCABC. For example, 123123, 023023, and 400400 are in the form.

Is it true or false that every such N is divisible by 13? If true, please explain. If not, provide a counter-example.

Answers

Answer:

true

Step-by-step explanation:

there is a nice rule for when a number is divisible by 13 :

starting with the lowest digit value (the last on the right) form blocks of 3 digits as numbers and give them alternating signs (starting with +).

if the last block (the last on the left) has less than 3 digits, just use the remaining ones as a number.

add all these numbers (with their associated signs).

if the number calculated by this (alternative) sum is divisible by 13 then the original number is divisible by 13.

if N = abcdefghi, then (ghi - def + abc) must be divisible by 13, so that N is also divisible by 13.

in our case, N = abcabc.

the block calculation is therefore abc - abc = 0, which is always divisible by 13.

so, any number formed like this must be divisible by 13.

FYI - a quick look at why that is :

N = abcabc =

= a×10⁵ + b×10⁴ + c×10³ + a×10² + b×10 + c =

= a×(10⁵ + 10²) + b×(10⁴ + 10) + c (10³ + 1) =

= a×100100 + b×10010 + c×1001

define d = 1001 = 77×13

and we get

a×d×100 + b×d×10 + c×d

a sum is divisible by a number, if every summed up term is divisible by that number.

since d is a factor in every term, and d is divisible by 13, so is every term and therefore the whole number.

so, every number in the form of abcabc is divisible by 13.

It is true that every number in the form N = ABCABC, where ABC represents a three-digit string, is divisible by 13.

Is it true or false that every such N is divisible by 13?

Let's consider the number N = ABCABC, where ABC represents a three-digit string. We can express N as follows:

N = 1000 * ABC + ABC

= 1001 * ABC

Notice that 1001 is divisible by 13, as 1001 = 13 * 77. Therefore, if ABC is any three-digit string, 1001 * ABC is divisible by 13.

Since N = 1001 * ABC, and 1001 is divisible by 13, it follows that N is also divisible by 13. This holds true for every number in the form ABCABC, where ABC is a three-digit string.

This pattern holds for any three-digit string repeated twice, ensuring that every number in the form ABCABC is divisible by 13.

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PLEASE HELP: On the assembly line, Max can process 15 engines in 40 mins. How many engines can he process in 2 hours?

Answers

Answer:

He can process 45 engines in 2 hours.

Step-by-step explanation:

2 hours = 120 minutes

You can multiply 3 to 40 because 40x 3 = 120, but you have to do the same to 15, so 15 x 3 = 45.

Or you can divide the engines (15) by minutes (40) to find out how many engines can be processed per minute.

15/40 = 0.375 an engine per minute.

Then multiply that by 120, which is two hours in minutes.

0.375 x 120 = 45

45 engines in 2 hours

Write the percent as a decimal. 10. 57.4%

Answers

0.574
not sure why this need to be 20 characters but we’ll make it
Write the percent as a decimal?(57.4%)
Answer: 0.574

find the degree of 3m^2·n^4

Answers

Answer:

4

Step-by-step explanation:

The degree of a polynomial is the variable with the highest degree, in this case you have two variables and generally, when you have two variables, especially when they're grouped you would add the degrees So for example: [tex]xy^3 + x^2y^3[/tex]. The first term xy^3 has a degree of 4 because x has a degree of 1 and y has a degree of 3, adding those two becomes 4, the second term has a degree of 5 so the degree of the polynomial is 5. In your example, you provided [tex]3m^2-n^4[/tex], which you can think of as: [tex]3m^2n^0 * n^4m^0[/tex]. Adding the degrees you get 2 and 4 the highest one is 4, so the degree of the polynomial is 4

Answer:

4

Step-by-step explanation:

Here the exponent of n is 4, which is greater than the exponent of m, which is 2.  Thus, the degree of this expression is 4.


17. Nils swam a total of 6.48 km in three days. He swam 0.720 km longer on Day 2 than on Day 1. The distance he swam on Day 3 was 3 times the distance he swam on Day 2. How many kilometers did he swim on Day 3?

Answers

Answer:

21.6 km

Step-by-step explanation:

distance swam on day 2: 6.48+0.720 = 7.2 km

distance swam on day 3: 7.2*3 = 21.6 km

Let x = Day 1
Day 2 = x + 0.72
Day 3 = (x + 0.72)(3)
Total km = 6.48 km
6.48 = x + (x + 0.72) + ((x + 0.72)(3))
6.48 = x + x + 0.72 + 3x + 2.16
6.48 - 2.16 - 0.72 = 5x
5x = 3.6
x = 0.72
Day 3:
(x + 0.72)(3)
(0.72 + 0.72)(3)
(1.44)(3)
4.32
Nils swam 4.32 km on Day 3.

Please Help!
Colour key:
Yellow: Questions I have answered
Green: Information needed to answer questions
Blue: Questions I need help with
Please, feel free to correct me, Im not good at Surface Area

Answers

Answer:

2. It will be a 7 3/4in x 12 1/4in rectangle

4.  31,987 in^2

6. 30 547/640 in^3

Step-by-step explanation:

2. This is a cross-section. In order to get the cross-section, you take your shape. (a 7 3/4 x 12 1/4 x 3 3/4 rectangle) and essentially you remove the last dimension (Height).

4. Take your surface area value (319 35/64) and multiply it by 100 (10 per dimension length and width). This leaves you with 319.87x100 = 31,987 in^2

6. (308 35/64)/10. Pretty easy, take 308.546875, divide by 10, and you get 30.8546875, which is 30 547/640 in^3 in fractions.

Answer:

2. It will be a 7 3/4in x 12 1/4in rectangle

4.  31,987 in^2

6. 30 547/640 in^3

Step-by-step explanation:

2. This is a cross-section. In order to get the cross-section, you take your shape. (a 7 3/4 x 12 1/4 x 3 3/4 rectangle) and essentially you remove the last dimension (Height).

4. Take your surface area value (319 35/64) and multiply it by 100 (10 per dimension length and width). This leaves you with 319.87x100 = 31,987 in^2

6. (308 35/64)/10. Pretty easy, take 308.546875, divide by 10, and you get 30.8546875, which is 30 547/640 in^3 in fractions.

8.3.6 A dress originally priced at $80 is put on sale at 25% off. If 10% tax is added to the sale price, then what is the total cost of the dress?

Answers

Answer:

$66

Step-by-step explanation:

25% of 80 = 20

80 - 20 = 60

10% of 60 = 6

60 + 6 = 66

The answer will be $66

PLEASE ANSWER ASAP: Miriam bought 64 pounds of popcorn she kept 1/4 for her family then gave 1/8 of the remainder to her club and distributed the rest equally among 8 friends. How many ounces did each friend get?

Answers

Answer:

84 ounces

Step-by-step explanation:

Total pounds of popcorn bought = 64 pounds

1/4th kept for family ==> 1/4 * 64 = 16 lbs

Remainder = 64-16 = 48 lbs

1/8th of remainder to club ==> 1/8 * 48 = 6 lbs to club

Remainder left over = 48-6 = 42 lbs

Distributed 42 lbs between each of 8 friends equally
Each friend gets 42/8 lbs = (42/8) * 16 = 84 ounces

Since there are 16 ounces in a pound

From the given information each friend receives 84 ounces of popcorn.

Let's solve the problem using thee concept of Fractions

1. Miriam bought 64 pounds of popcorn.

2. She kept 1/4 of the popcorn for her family. So, the amount of popcorn left after this step is [tex]\(64 \times \frac{3}{4}\)[/tex].

Now, let's calculate the popcorn remaining after Miriam keeps some for her family:

[tex]\(64 \times \frac{3}{4} = 48\)[/tex] pounds.

Next, Miriam gave 1/8 of the remaining popcorn to her club, leaving her with [tex]\(48 \times \frac{7}{8}\)[/tex] pounds.

Now, let's calculate the popcorn remaining after Miriam gives some to her club:

[tex]\(48 \times \frac{7}{8} = 42\)[/tex] pounds.

Finally, she distributed the rest equally among 8 friends. To find out how much each friend gets, we'll divide the total popcorn left by the number of friends:

Amount each friend gets =[tex]\(\frac{42}{8}\)[/tex] pounds.

The problem asks for the answer in ounces, not pounds.

To convert pounds to ounces, we know that 1 pound is equal to 16 ounces. So, to get the amount of popcorn each friend gets in ounces, we'll multiply the previous answer by 16:

Amount each friend gets = [tex]\(\frac{42}{8} \times 16\)[/tex] ounces.

Amount each friend gets = [tex]\(84\)[/tex] ounces.

So, each friend will get 84 ounces of popcorn.

In summary, Miriam's 64 pounds of popcorn were reduced to 42 pounds after sharing with her family and club. Finally, the remaining popcorn was divided equally among her 8 friends, with each friend receiving 84 ounces.

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find the value of x and y in a triangle

Answers

Answer:

a) 49 degrees     b) 56 degrees

Step-by-step explanation:

a) Vertical angles are lines that intersect each other that always form the same angles on "opposite" sides. Angle x and the 49 degrees are vertical angles, which means that x also has to be 49 degrees.

- - -


b) We know that any triangles' three internal angles combined equal 180 degrees.

Since we already know two out of three angles in the triangle (63 and 49) we can find the last unknown angle: 180 - (63 + 49) = 68. The unknown angle in the triangle is 68 degrees.

We also know that all straight lines are 180 degrees. The line that angle y rests on is 180 degrees. So we can subtract the 68 degrees from 180 degrees to find that y = (180 - 68) / 2, because angle y is the same on the other side of the 68 degrees.

So:
y = (180 - 68) / 2
y = 112 / 2
y = 56

Angle y is 56 degrees.



Apologies if my explanation is confusing.

Answer:

a) x = 49° C

b) y = 48° C

Step-by-step explanation:

a) x is 49° C because we know that opposite angles are the same which means that x is opposite to 49° C which makes it also 49° C.

b) y is 48° C because angles in a Triangle always add up to 180° C which means that 180 - 83 - 49 = 48 which makes the answer 48° C.

A box measures 1/2 ft. long 1/2 ft. wide, and 1 ft. high. Find the volume in
inches. Do not include units in your answer.

Answers

Answer:

1/4

Step-by-step explanation:

V = LWH

V = (1/2 ft)(1/2 ft)(1 ft)

V = 1/4 ft³

Answer:

432 in³

Explanation:

Given measurements:

L = 1/2 ftW = 1/2 ftH = 1 ft

To convert feet to inches, multiply by 12

L = 1/2 × 12 = 6 inchW = 1/2 × 12 = 6 inchH =  1 × 12 = 12 inch

Volume of rectangular prism:

⇒ L × W × H

⇒ 6 × 6 × 12

⇒ 432 in³

I just need help with this question

Answers

Answer:

0

Step-by-step explanation:

-2 + 2 = 0

The sum of a number and its negative self is always 0 .

Hope this helped and brainliest?

Answer: 0

Step-by-step explanation:

It asks for the sum of the points plotted. The given points are on 2, and -2.

The sum is the total you get when adding 2 or more numbers.

-2+2= 0

Hope this helps!

Being sure with my Answers
Ali caught 28 birds. He sold out 8 of themand kept the rest equally in 4 cages. Hiw many birds were kept in each cage?

Answers

Answer: 5

Explanation: 28-8=20. 20/4= 5.
5 would be kept in each cage because 28-8=20 and 20/4= 5

8.26 During the softball season, Judy had 35 hits. Among her hits were 1 home run, 1 triple, and 5 doubles. The rest of her hits were singles. What percent of her hits were singles?

Answers

Answer:

1 home + 1 triple + 5 double

1 +3+5×2

1+3+10=14

35-14 =21 singles

21/35×100=60%

80% of her hits were singles

Find the sale price using the following numbers.
Original price: $180; Rate of discount: 15%

Please help me to answer this question!
TYSM!!!!!

Answers

Answer:

$180 - (15% * $180) = $153

Step-by-step explanation:

Answer:

$153

Step-by-step explanation:

Hello!

Original Price: $180

Original Percentage: 100% (multiplier = 1)

Discount: 15% (multiplier = 0.15)

Given that the Original Percentage is 100% and the Discount is 15%, we are trying to find 85% of the Original Price.

Sale Price: 85% of Original Price (multiplier = 0.85)

SP = 85% of OPSP = 0.85(180)SP = 153

The sale price is $153.

Please help me answer the 3 questions below for me, tysm!

20. Find the total for the frequency table.
21. Find the relative frequency table value for "Business."
22. What should the total value always be for a relative frequency table?

Answers

Answer:

Step-by-step explanation:

answer :


step by step equation.

WHAT IS THE EXACT VALUE OF PI ?

Answers

Answer:

3.14159

Step-by-step explanation:

3.14159 is the correct answer

two numbers are the ratio of 2:7. their sum is 63. what is the larger number?

Answers

Answer:

49

Step-by-step explanation:

step 1: Add the ratios 2:7 which is 2+7=9

step 2: divide the bigger ratio (7) by the total calculated in step 1 (9) and multiply by the total number given (63)....

step 3: we have 7/9×63 which is 49

therefore the bigger number is 49

The larger number is 49

PLEASE HELP ASAP: On a snowy day 85% of the students of Wilson high school were present. If 572 of the students were present, how many students were enrolled at the school?

Answers

Answer:

rounds to 672

Step-by-step explanation:

This is a proportion question.

572     85

___ = ___

 x       100

Do 572 x 100 first to get 57,200.

Then divide 57,200 by 85 to get around 672 students.

However, I haven't done these kinds of questions in a long time, therefore I could be wrong.

On a snowy day 85% of the students of Wilson high school were present., There were 672 students enrolled at Wilson high school.

To find out how many students were enrolled at Wilson high school, we can use the information given in the question. We are told that 85% of the students were present on a snowy day, and that 572 students were present. To find the total number of students enrolled, we can set up a proportion: Present students / Total students = Percentage present / 100 Let's plug in the values we know: 572 / Total students = 85 / 100 To solve for the total number of students, we can cross-multiply and solve for Total students: 572 * 100 = Total students * 85 57200 = Total students * 85 Dividing both sides by 85: 57200 / 85 = Total students Total students = 672 Therefore, there were 672 students enrolled at Wilson high school.

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*Decimal word problems really easy*

1. You need to take 3 grams of pain medication. You've already taken 0.75 grams of pain medication from a multi-purpose formula. How much more medication do you need?

2. Alicia paid 5.75 for a bag of pinto beans. The beans cost $.55 per lb. How much did the bag of pinto beans weigh?

3. A cake needs 15.284 grams of flour. You already have 1/8 of it. How much more flour do you need?

4. Keith is making a spice rack for his mom in woodworking class. He starts with a board that is 31.25 inches long. Then he cuts it into 5 equal pieces for the shelves. How long will each shelf be?

5. Greg's scout troop is organizing a pancake breakfast to raise money for their next camping trip. They are expecting a large crowd, so Greg buys 4 gallons of maple syrup. If the maple syrup costs 35.75 per 2 gallons, how much does he spend?

Answers

Answer:

For the first problem, it would be 2.25 grams.

For the second problem, it would be 10.45 pounds.

For the third problem, it would be 13.3735 more grams of flour

For the fourth problem it would be 6.25 inches long.

Step-by-step explanation:

1st problem:

3 - 0.75 = 2.25

2nd problem:

5.75 / .55 = 10.45454545 (so if we simplified it, then it would be 10.45)

3rd problem:

15.285 * 7/8 = 13.3735

4th problem:

31.25 / 5 = 6.25

I see that someone has already answered 1-4 so i will answer 5

so for 2 gallons it is 35.75 so to find out the amount for 4 gallons you would add 35.75+35.75 to get your answer of 71.5

hope this helped :>

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Select the properties of a square? please answer, I'm desperate A block is attached to one end of a spring, while the other end of the spring is attached to a fixed axis. The block is moving in a horizontal circle centered at the axis at a constant speed, held in the circular path only by the spring. The system has a total energy of 2 Joules, the spring has a stiffness of 200 Newton/meter, and the unstretched spring has a length of 50 centimeters. Find how much the spring is stretched from its natural length as the block moves in this circle. Pls Help (question is in pic)1. If the function holds true, in what year would the cost of mailing a first class letter reach 60 cents.2. In 2007, the cost of mailing a first-class letter was 41 cents. Has the inflation rate stayed constant since 1991? 2a. A quarterback throws a football from a position that is 10 yards from the goal line and 15 yards from the sideline. His receiver catches it at a position that is 50 yards from the same goal line and 5 yards from the same sideline. Find the distance of the throw.2b. Explain how you created the two points in order to find the distance. Need help not good at math what so ever. write an essay explaining why you want to pursue you'r choosen course of career in 500 words helllppppppppppp please Fears by Mary ClarenceI snuck a sidelong glance at Fern. As always, she looked confident, calm, and completely prepared for what we were about to do.Up until a few years ago, you wouldn't have caught me near the ocean, let alone in a boat on it! I had always been afraid of the vastness of the ocean. Who knew what was lurking down there? Who knew what was out there waiting to drag me down to the depths? Lately, though, I'd started to realize life was too short to spend being afraid of the things I couldn't control. One by one, I had been facing my fears. With Fern's help, I had taken flying lessons to overcome my fear of heights; I had made myself get on roller coasters. And now I was facing my greatest fearthe great unknown ocean.We'd been on the boat for about an hour and were moored at a buoy. Fern and I were dive buddies, which meant that we were to check each other's equipment before we jumped in and stick close to each other in the water. We'd dived in a protected shallow pool in the sea yesterday, but this was our first dive in open water. When I realized just how dark the waves were, I felt my old fears resurfacing. Anything could be beneath them, and you wouldn't know."Are you nervous? I kind of am," Fern said in a stage whisper while we were lining up waiting to jump in."Yeah, a bit," I admitted. I didn't want to tell her just how nervous. What if I panicked? What if I forgot how to breathe? Was that feeling ever going to go away? I would have loved to yank it out of myself and throw it into the sea.Actually, I had a lot of confidence in our training. On this shallow beginners' dive decompression wasn't going to be a concern. I knew my equipment would protect me if I got in trouble. And I'd be surrounded by helpful instructors. But even with all the fears on my mind, a few of my brain cells kept worrying about how I looked in my wetsuit. And that's how I knew I was going to be okay.Before I could get truly nervous though, it was Fern's turn to jump into the secret-keeping waves, then mine. We swam together to a buoy line and began pulling ourselves down the rope to the sandy sea floor. I noticed immediately that despite the dark water, I could actually see quite farand in color. Fern's mask was as vibrant as it had been on the boat. It did get a bit darker as we descended, but somehow it also got brighteras if the sea floor were reflecting what little light there was. When everyone was down, we all moved off toward the reef.Despite my nagging fear, I was mesmerized by this strange world. Everywhere my eye fell, there was something different to see. I'd never been surrounded by so much variety in shape, color, and texture. So many amazing creatures. Fish darted in and out of waving corals. Larger fish loomed, like harmless shadows. Small translucent shrimp-like creatures approached my mask. I could tell, by their quicksilver speed, that the littlest creatures were accustomed to the approach of larger predators.When Fern waved and pointed to a silvery green eel, sliding effortlessly toward an anemone while potential prey scattered before him, I realized that fear is natural. It helped all these creatures survive from day to day. The trick is learning to know when to use it to survive, and when it's only getting in the way of living. As I reached out to tickle a neon-colored sea slug, I certainly felt as if that trick were getting easier.Read this sentence from the passage:"I didn't want to tell her just how nervous. What if I panicked? What if I forgot how to breathe? Was that feeling ever going to go away? I would have loved to yank it out of myself and throw it into the sea."What would the narrator love to throw into the sea? the fish the excitement the nervousness the equipment Using the quadratic formula to solve 5x = 6x-3, what are the values of x? When the task of correctly identifying an individual in a slide of a four-person lineup was both difficult and important , participants in an experiment were especially likely to conform to others' wrong answers. This best illustrates the impact of: Pls help! Geometry Find the area If sec x = five thirds, what is the value of b? triangle lmn in which angle m measures 90 degrees, angle l measures x degrees, ln measures 20 units, and lm measures 3b units b = 4 b = 5 b = 6 b = 7 Perform the followingmathematical operation, andreport the answer to thecorrect number of significantfigures.9.635 12.9 = [?] identify the domain of the function shown in the graph0x is all real numbers When a novel property emerges that was not present at the simpler level of organization. a. New property b. Evolution c. Emergent property d. Advancing property e. Natural selection Explain the difference between mentally challenging and physically challenging sports. PLSSS A farmer sells wheat at a price of $5 per bushel. If the farmer sells 100 bushels, his total revenue is ________ and his average revenue is __________.it cannot change its quantity of output. a.$50; $5 b.$500; $5 c.$500; $50 d.$5,000; $500 What should an organization do once it has determined the sources of information to fulfill the marketing research objectives? Gather the relevant data from secondary or primary sources, or both. Analyze, interpret, and summarize the information gathered. Conduct surveys and in-depth interviews with the respondents. Consider the costs and benefits of the research effort. Effectively communicate the results to decision makers. What is the value of "y" that satisfies the expression below?1 y + 12 = 6 ( 1 y + 1 )Round your answer to 2 decimal points (i.e. #.##) if the following data were linearized using logarithms, what would be the equation of the regression line? Round the slope and y-intercept of the regression line to three decimal places. x2,3,4,5,6 y73,77,85,101,133A. log(y) =-1.706x + 0.064B. log(y) =-0.064x + 1.706C. log(y) = 1.706x + 0.064D. log(y) = 0.064x + 1.706