1. List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
7 ¾ inches by 12 ¼ inches by 3 ¼ inches
2. Describe the shape of the cross-section when the box is cut parallel to the base.

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

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

Answer:

Please see attached image

Step-by-step explanation:

Answer: 77/3 or 25 2/3

Step-by-step explanation:

1. Convert mixed numbers into improper fractions:

3 1/2 = 3*2+1/2 = 7/2

2 2/3 = 2*3+2/3 = 8/3

1 1/2 = 1*2+1 = 3/2

2. Calculate within parentheses

Multiply and divide from left to right

Add and subtract from left to right

Answer:

- 53 2/3

Step-by-step explanation:

3 1/2 + (-7) x (2 2/3 + 1 1/2)

= 7/2 - 7 (8/3 + 11/2)

= 7/2 -7 (49/6)

= 7/2 - 343/6

= - 161/3

= - 53 2/3

Hello!

The length and width are given.

We know the formula for calculating perimeter :

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

Let's solve!

∴ The perimeter is 82k + 148.

Answer:

Step-by-step explanation:

24.8 to 13.4 as a fraction in lowest terms

we transform into integers

24.8 * 10 = 248

13.4 * 10 = 134

we form the fraction

248/134

It is simplified by the greatest common divisor of 248 and 134, i.e. with 2.

124/67

Answer:

149 liters of test solution (C)

Step-by-step explanation:

We are given that 25 mL of dye are mixed with 1.5 L of water to create 1 bottle of solution. If we convert 25mL to L, we get that there is 0.025 L of dye in each solution, and the total amount of liquid in a bottle of test solution is 1.525 L (0.025 + 1.5). Since we have 98 bottles like, the total amount of test solution is 98*1.525, which is 149.45 L. Since we have to round to the nearest whole number, the answer is C, or 149 L.

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:

To convert feet to inches, multiply by 12

Volume of rectangular prism:

⇒ L × W × H

⇒ 6 × 6 × 12

⇒ 432 in³

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

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!

Answer:

0.4763

Step-by-step explanation:

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

Answer:

3.14159

Step-by-step explanation:

Answer:

36. m^7

37. x^3 y

38. 6v^5

Step-by-step explanation:

Divide the exponents by the number in the radical sign,

so, If no number is given then divide exponents by 2 eg. question 38

36. 7√m^49 means m^(49/7) = m^7

37. 3√x^9y^3 means x^(9/3) y^(3/3) = x^3 y

38. √36v^10 means (√36) v^(10/2) = 6v^5 (√36 = 6)

Answer:I think Jordan is this a trick question

Step-by-step explanation:

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

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:

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.

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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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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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.

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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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.

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 :>

Answer:

52

Step-by-step explanation:

131 ounces/2.5 ounces=52.4

=52 sandwich

Answer:

1 home + 1 triple + 5 double

1 +3+5×2

1+3+10=14

35-14 =21 singles

21/35×100=60%

Answer:

Step-by-step explanation:

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.

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.

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.

Answer:

B i believe

Step-by-step explanation:

Answer:

B

Step-by-step explanation: