Answer:
i think it would be greatest common factor
Step-by-step explanation:
*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?
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 :>
find the solution B=√2+√3-√2-√3
Answer:
[tex]B=\sqrt{2}[/tex]
Step-by-step explanation:
Original equation:
[tex]B = \sqrt{2+\sqrt{3}} - \sqrt{2 - \sqrt{3}}\\[/tex]
Square both sides:
[tex]B^2=(\sqrt{2+\sqrt{3}})^2 + 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}}) + (-\sqrt{2-\sqrt{3}})^2[/tex]
Cancel out the square roots and squares:
[tex]B^2=2+\sqrt{3}}+ 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}}) + 2-\sqrt{3}[/tex]
Add the sqrt(3) and -sqrt(3) as well as 2 and 2
[tex]B^2=4 + 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}})[/tex]
Use the identity: [tex]\sqrt{a} * \sqrt{b} = \sqrt{a * b}[/tex] to rewrite the two square roots being multiplied:
[tex]B^2=4 + 2(-\sqrt{(2+\sqrt{3}) * (2 - \sqrt{3}}))[/tex]
Use difference of squares: [tex](a-b)(a+b) = a^2-b^2[/tex]
[tex]B^2=4 + 2(-\sqrt{2^2-\sqrt{3}^2})[/tex]
Square both sides
[tex]B^2=4 + 2(-\sqrt{4-3})[/tex]
Subtract:
[tex]B^2=4 + 2(-\sqrt{1})[/tex]
Evaluate square root of 1:
[tex]B^2=4 + 2(-1)[/tex]
Multiply
[tex]B^2=4 -2[/tex]
Subtract
[tex]B^2=2[/tex]
Take square root of both sides:
[tex]B=\sqrt{2}[/tex]
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?
Answer:
1 home + 1 triple + 5 double
1 +3+5×2
1+3+10=14
35-14 =21 singles
21/35×100=60%
You randomly choose one of the tiles above. Without replacing the first tile, you randomly choose a second tile. Find the probability of the compound event.
22. Choosing a red tile and then a vowel
Answer:
none
Step-by-step explanation:
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?
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.
Which of the coordinate pairs below are separated by a vertical distance of greater than 5 units? Select all that apply.
A)(-1, −52) and (-1, −32)
B) (1.8, -3.4) and (1.8, 2.2)
C) (-3.5, -4.2) and (-3.5, 1.3)
D) (4, 5) and (4, 1)
Answer: A
Step-by-step explanation:
A. yes because -52 and -32 are separated by a distance of 20 units
B. no because -3.4 and 2.2 are not separated by more than 5 units
C. no because -4.2 and 1.3 are not separated by more than 5 units
D. no becasue 5 and 1 are not separated by more than 5 units
Answer:
A, B, C
Step-by-step explanation:
A coordinate is written as (x, y) where:
x is the horizontal distance of the point from the origin.y is the vertical distance of the point from the origin.For a pair of coordinates to be separated by a vertical distance of greater than 5 units, the difference in their y-values should be greater than 5. To find the difference between two values, subtract the smaller value from the larger value.
A. (-1, -52) and (-1, -32)
Difference in y-values: (-32) - (-52) = 20
B. (1.8, -3.4) and (1.8, 2.2)
Difference in y-values: (2.2) - (-3.4) = 5.6
C. (-3.5, -4.2) and (-3.5, 1.3)
Difference in y-values: (1.3) - (-4.2) = 5.5
D. (4, 5) and (4, 1)
Difference in y-values: 5 - 1 = 4
Therefore, coordinate pairs A, B and C are all separated by a vertical distance of greater than 5 units.
Write the following in algabraic expression: the sum of the number a and three times the square of the number b
Answer:
a+3b^2
Step-by-step explanation:
One of the angles in a right triangle is 20°. A median, an angle bisector, and a height are all drawn from the right angle.
a)Find the angle measure between the median and angle bisector.
b)Find the angle measure between the angle bisector and the height.
Answer: I would say A
Step-by-step explanation: The reason I say A is because One to find the angle you have to add( Okay I'm in 8th grade and My brain is slow so please don't judge) but maybe try adding and doing division? I'm not sure
Write an equation showing the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p).
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.
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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7.6.3. A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo. For every 12 -foot leap of the kangaroo, the rabbit makes a 7 -foot leap. How many leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time?
Answer:
The number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time is 30 times.
Step-by-step explanation:
Given:
A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.
For every 12 -foot leap of the kangaroo, the rabbit makes a 7 -foot leap.
Find:
the number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time
Step 1 of 1
The kangaroo gains 5 feet on every leap.
The kangaroo must gain 150 feet total,
so it must jump [tex]\frac{150}{5}=30$[/tex] times to catch the rabbit.
Kangaroo needs 30 leaps to make to catch up to the rabbit if the two animals always leap at the same time.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.
For every 12 -foot leap of the kangaroo,
the rabbit makes a 7 -foot leap.
Let n be the number of leaps.
According to the question:
We have the equation.
To solve for x;
12x = 7x + 150
12x - 7x = 150
5x = 150
x = 150/5
x = 30
Therefore, the Kangaroo needs 30 leaps to catch the rabbit.
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two numbers are the ratio of 2:7. their sum is 63. what is the larger number?
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
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?
Answer:
$66
Step-by-step explanation:
25% of 80 = 20
80 - 20 = 60
10% of 60 = 6
60 + 6 = 66
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?
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?
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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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?
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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Find the sale price using the following numbers.
Original price: $180; Rate of discount: 15%
Please help me to answer this question!
TYSM!!!!!
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 = 153The sale price is $153.
Evaluate.
4 to the power of 3 + (-2) to the power of 4
Answer:
4
Step-by-step explanation:
3+(-2) is the same as 3-2 which is 1. and since with multiple exponents you work from the top you have 4 to the power of 1^4. 1^4 is 1, so it's 4^1, which is 4.
2 ACTIVITY: Estimating a Percents
Work with a partner. Use a model to estimate the answer to each question. c. 18 is what percent of 40?
Answer: 45%
Step-by-step explanation:
Converting the word problem into words, we have:
18= x/100*40
Solving for it, we get that x=45.
Write each ratio as a fraction in lowest terms:
Q1 - 24.8 to 13.4
Q2 - 1.5 to 4.5
Answer:
124/67 and 1/3
Step-by-step explanation:
The second ratio is 1.5/4.5, which readily reduces to 1/3.
Dividing both numerator and denominator of 24.8 / 13.4 by 2 yields the simpler 12.4 / 6.7 or 124/67. This latter result cannot be reduced.
Write the percent as a decimal. 10. 57.4%
8.46 If 100 is decreased by a% and the result is decreased by b%, then what is the total percent decrease (in terms of a and b)? (You can assume that both a and b are between 0 and 100.)
Answer:
The total percent decrease is [tex]$a+b-\frac{a b}{100}$[/tex]
Step-by-step explanation:
We are given with a word problemWe are asked to find the total percentage decreaseWe can do this in two stepsStep 1: Finding the two percentage decrease
Step 2: Finding their difference
Step 1 of 2
Let the decrease by a% be 100-a
Then b% decrease is
[tex]$$\begin{aligned}\frac{b}{100} \times(100-a) &=\frac{100 b-a b}{100} \\\frac{100 b}{100}-\frac{a b}{100} &=b-\frac{a b}{100}\end{aligned}$$[/tex]
Step 2 of 2
The percentage difference between the two percentages is,
[tex]$$\begin{aligned}&(100-a)-\left(b-\frac{a b}{100}\right)=100-a-b+\frac{a b}{100} \\&100-a-b+\frac{a b}{100}=100-\left(a+b-\frac{a b}{100}\right)\end{aligned}$$[/tex]
Since 100 is the total percent [tex]$a+b-\frac{a b}{100}$[/tex] is the percentage decrease.
Determine whether it’s a change in increase or decrease then find the person, make sure to ROUND to nearest whole percent:
ALSO THE ANSWER IS NOT 182%
1994 cost: $171.33 and 1995 cost: $201.59
Answer:
it is 82%
Step-by-step explanation:
move the dot -(-D) on the number line
Answer:
the answer is 1/2
Step-by-step explanation:
-(-D) = -(-1/2)
2 negatives make a positive so it would be 1/2 or in other cases, 0.5
WHAT IS THE EXACT VALUE OF PI ?
Answer:
3.14159
Step-by-step explanation:
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.
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 ftTo convert feet to inches, multiply by 12
L = 1/2 × 12 = 6 inchW = 1/2 × 12 = 6 inchH = 1 × 12 = 12 inchVolume of rectangular prism:
⇒ L × W × H
⇒ 6 × 6 × 12
⇒ 432 in³
PLEASE HELP: On the assembly line, Max can process 15 engines in 40 mins. How many engines can he process in 2 hours?
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
Josh spent 8 hours in the gym last week.His goal was to spend 12 hours in the gym. What percent of the goal did he meet?
Answer:
2/3 or 66%
Step-by-step explanation:
If you divide 12 into 3 groups you get 4. 4 + 4 = 8 therefore 8/12 = 66%
Susan needs material for her school project. She buys 3.75 yards of material at $5.72 a yard. What is the total cost of the material? Round to the nearest cent.
Answer: $21.45
Step-by-step explanation:
FACTS:
1 yard costs $5.72.
She bought 3.75 yards
Total cost= cost per yard x number of yards
Total: t
t= 5.72x3.75
t= $21.45
She spent $21.45 for 3.75 yards of material
7. Tyrone is thinking of a number. In his number:
- The digit 4 has a value of 0.04
- The digit 3 is in both the ones and tens places.
- The digit 5 is in the tenths place.
- The digit in the ones place is 2 more than the digit in the thousandths place.
What is Tyrone's number?
____ ____ . ____ ____ ____
Answer:
1. 72.33.24. none5.none6.97. 08. 4
Step-by-step explanation: