In the seventh grade, the ratio of girls to boys is 7:5. If there are 21 girls in the seventh grade, how many boys are there?

Answers

Answer 1
There is 15 boys in the Seventh Grade

Answer 2

So we are given the fraction ratio...

7 girls

---------

5 boys

if we make the fraction

21 girls

----------

x boys

equal each other, we can cross multiply and find x.

Cross multiplying means to multiply 7 times x and 21 by 5.

then we set up a little equation

7x = (21)(5) First lets solve what 21 times 5 is 

7x = 105 Now we have to divide both sides by 7 to get x alone.

÷7 = ÷7  On the left side of the equation the 7 cancels and we solve on the right.

x = 15


So we know that when we have 21 girls in the 7th grade classroom we also have 15 boys.


Good Luck! :)

<3


Related Questions

How many fourths are in two wholes? Use a fraction model to help you. Show two whole divided into four equal pieces. 2 dived by 1/4

Answers

8 fourths.
Because there is 4 quarters in 1 whole. 4x2=8

Evaluate -5.118 - (-4.1)

Please explain this to me? Every time I do it, I get it wrong.

Answers

two negatives = one positive, and so

-( -4.1) really means 4.1

-5.118 +4.1 or 4.1 - 5.118 (just subtract)

After subtracting 4.1 - 5.118, you will get -1.018

hope this helps

Alexis said, "All prime numbers except for the number 2are odd. So all odd numbers must be prime numbers."
Do you agree with Alexis? Explain

Answers

Alexis is incorrect.
Just because a number is odd does not mean that it is prime.

For example, one of these lowest odd numbers that isn't prime is 9.
You can get 9 by multiplying 3 by 3.
3 × 3 = 9

Another example is 15.
5 × 3 = 15

Even the number 1 isn't prime.
1 × 1 = 1

The perimeter of a rectangle is 24cm. If the length in y cm, what is the width?

Answers

perimiter=2 times (length+width)
if perimiter=24

24=2(L+W)
divide both sides by 2
12=L+W

if L=y then
12=y+W
minus y from both sides
12-y=W

the width is 12-y cm

A rectangle is nine inches longer than it is wide, and its diagonal is 10 inches longer than its width. What is the width of the quadrilateral?

Answers

L = length

w = width

r = diagonal, or hypotenuse

In order to solve this, you must use the Pythagorean theorem (a^2 + b^2 = c^2)

L = w + 9 = a

w = ? = b

r = 10 + w = c

Solve like so:

a^2 + b^2 = c^2

(w + 9)^2 + w^2 = (10 + w)^2

(w + 9)(w + 9) + w^2 = (10 + w)(10 +w)

w^2 + 18w + 81 + w^2 = w^2 + 20w + 100

2w^2 + 18w + 81 = w^2 + 20w + 100

w^2 + 18w + 81 = 20w + 100

w^2 + 81 = 2w + 100

w^2 - 19 = 2w

2 = w - 19/w

w = 2 + 19/w

w ends up being equal to 5.47 as a decimal answer. The work to solve this equation further would require me to spend another couple hours to present. So if you wish to see how this is done, go to quickmath.com.

write two decimals that are equivalent to 2.50

Answers

Answer:

2.5 or 2.500

Step-by-step explanation:

Equivalent decimals are that decimal which is equal.

If we put zero on the right side of digit after decimal then it is said to be equivalent digits.

2.50 is called as 250 hundredth

2.5 is called as 25 tenth

2500 is called as 2500 thousandth

All 2.50, 2.5 and 2.500 are equal.

The two numbers that are equivalent to 2.50 are 2.5 and 2.50.

We have,

When we write a decimal number, the trailing zeros after the decimal point do not change the value of the number.

Thus, 2.5 and 2.50 represent the same value of 2.50.

The first decimal, 2.5, is the simplified or standard form of the number.

It is commonly used when the exact level of precision is not required or when rounding is involved.

In this case, 2.5 provides sufficient information about the number without the need for the trailing zero.

The second decimal, 2.50, includes the trailing zero.

This format is often used when a specific level of precision is desired or when the number is part of a larger set of numbers with consistent decimal places.

The trailing zero helps to maintain a consistent number of decimal places and can be useful in situations where exactness is important.

Thus,

Both 2.5 and 2.50 represent the same value of 2.50, with the second decimal including a trailing zero for added precision or formatting purposes.

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3F equals -8.5 what does F equals

Answers

3F=-8.5

F = -8.5 / 3 =-2.8333333

round answer as needed

Your digital camera has a 512 megabyte memory card. You take low resolution pictures requiring 4 megabytes of memory each and high resolution pictures requiring 8 megabytes of memory each. Write an equation for the number of low and high resolution pictures you can take.

Answers

The number of low and high resolution pictures that can be taken with a 512 megabyte memory card is determined by the equation 4L + 8H = 512, where L represents low resolution pictures and H represents high resolution pictures.

To determine the number of low and high resolution pictures that can be taken with a 512 megabyte memory card, we can set up an equation based on the storage requirements of each type of picture. Let's use L to represent the number of low resolution pictures and H to represent the number of high resolution pictures.

Because each low resolution picture requires 4 megabytes and each high resolution picture requires 8 megabytes, we can write the equation as:

4L + 8H = 512

This equation shows that the total memory used by L low resolution pictures and H high resolution pictures cannot exceed 512 megabytes, the capacity of the memory card.

What is the Value Of X in this diagram

Answers

To figure this out, use this equation because the angles are corresponding and marked congruent:
2x + 10 = 4x - 20
Subtract 10 from each side:
2x = 4x - 30
Now subtract 4x from each side:
-2x = -30
Divide by -2:
x = 15

The measures of the angles are 40

Hope this helps!

What is the coefficient of the x9y-term in the binomial expansion of (2y + 4x3)4? 4 32 128 512

Answers

512 is the coefficient of the x9y-term                             

Answer:- 512


Explanation:-

We know that [tex](m+1)^{th},\ (T_{m+1})[/tex] in the binomial expansion [tex](p+q)^n[/tex] is given by

[tex]T_{m+1}=^nC_m\ p^{n-m}q^m[/tex]

Assume that [tex]x^9y[/tex] occurs in the [tex](m+1)^{th}[/tex] term of the expansion of [tex](2y+4x^3)^4=(4x^3+2y)^4[/tex]

[tex]T_{m+1}=^4C_m\ (4x^3)^{4-m}(2y)^m[/tex]

Comparing power of x and y in  [tex]x^9y[/tex]  we get m=1

Thus term for m=1 [tex]=\ ^4C_1\ (4x^3)^{3}(2y)^1=^4C_1=\frac{4!}{(4-1)!1!}(64x^9)(2y)=4(128x^9y)=512x^9y[/tex]

Thus the coefficient of [tex]x^9y[/tex] is 512.

11a+9=4a+30 what is the answer

Answers

11a+9=4a+30
11a-4a=30-9
7a=21
a=21/7
a=3

Help me ASAP!!

A map has a scale of 1 inch = 8 miles. What is the actual distance if the distance on the map is 7.5 inches?

Answers

if 1 inch = 8 miles 
Then for every inch on the map there is 8 miles, so if there is 7.5 miles, just multiply inches by miles. which is 8 * 7.5 which equals 60 inches
1 inch = 8 miles so it's just 7.5 x 8 = 60

you are biking at a speed of 18mph. you are 3 miles behind your friend, who is biking at a speed of 12mph. write and solve an equation to find the amount of time it takes for you to catch up to your friend

Answers

distance = velocity x time
Assume the distance moved by your friend is "d" and that the time taken for you to catch to him is "t"

you are moving with a velocity of 18 mph and your friend is moving with a velocity of 12 mph.
distance covered by your friend (d) = 12t miles ......> equation 1

If you add 3 to your rate, your distance will be the same as your friend's. This means that:
 d+3 = 18t miles ......> equation 2

Substitute by 1 in 2:
12t + 3 = 18t
3 = 6t
t = 0.5 hours
This means that you will catch up to your friend in half an hour.

What property is 0+91=91

Answers

The additive identity property . . . is being used here because no matter what the value is, whenever you add zero (0) to it, you'll always get the value your started with
Zero property of addition

which of the following numbers that when divided by 1/2, give a result less than 1/2 ? select all that apply 3/8, 3/16,6/25,1/3

Answers

The answer would be 3/16 and 6/25!

Answer:

theheckisthis thing

Step-by-step explanation:

Affonso has 14 fewer dimes than nickels. He has 21 dimes.

Use the five-step problem-solving plan.

How many nickels does Affonso have?




Enter you answer in the box.

Answers

Ok so 14 fewer dimes than nickels. That means 14 dimes LESS than nickels.
He has 21 dimes.
to find the nickels i believe you would add 14 and 21 so 14+21.
14+21=35
He has 35 nickels

solve for x.
2x^2=64

Answers

2x^2=64

Divide both sides by 2
x^2=32

Root both sides and simplify
x=±√32
x=±4√2

Carly has 2 more nickles than dimes in her pocket She has 40 cents How many nickels does carly have ? how many dimes does carly have?

Answers

She has two dimes and four nickels.
Final answer:

Carly has 2 dimes and 4 nickels in her pocket.

Explanation:

Let's assume Carly has x dimes in her pocket. Since Carly has 2 more nickels than dimes, she would have x + 2 nickels. The value of x dimes is 10x cents and the value of (x + 2) nickels is 5(x + 2) cents. Since Carly has 40 cents in total, we can set up the equation: 10x + 5(x + 2) = 40.

Simplifying the equation gives us: 10x + 5x + 10 = 40. Combining like terms gives us: 15x + 10 = 40. Subtracting 10 from both sides gives us: 15x = 30. Dividing both sides by 15 gives us:
x = 2.

Therefore, Carly has 2 dimes and 4 nickels.

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an amusement park charges 5$ for admission and 2$ for each ride write an expression for the total cost of admission and r rides How Many Rides Can U Go On If U Have 16$??

Answers

Final answer:

You can go on a maximum of 5 rides with $16 after paying for the $5 admission at the amusement park, where each ride costs $2.

Explanation:

The amusement park charges $5 for admission and $2 for each ride. We can write an expression for the total cost as C = 5 + 2r, where C is the total cost and r is the number of rides. To find out how many rides you can go on with $16, we would set up the equation 16 = 5 + 2r.

Step-by-step solution:

Start with the formula for the total cost: C = 5 + 2r.Replace C with $16, the total money you have, to get the equation 16 = 5 + 2r.Subtract $5 (the cost of admission) from both sides to find out how much money is left for rides: 16 - 5 = 2r, which simplifies to 11 = 2r.Divide both sides by $2 to find the number of rides r: 11 / 2 = r, which simplifies to 5.5.

Since you cannot go on half a ride, you could go on a maximum of 5 rides with your $16.

what is square root of -36?

Answers

The square root of -36 is 6i

the square root of a negative number needs to end in I

 so find the square root of 36 and add an I

 sqrt(36) = 6

 so sqrt(-36) = 6i

Do b. I will say thanks

Answers

He won't because the next time he does so would be on the 30th but because February only has 28 days (29 on leap years), Kev won't do it.

If 20% of the science students at Central High study on physics, 25% study chemistry and the rest study only biology, what is the smallest number of science students who could be studying biology?

Answers

5.5% is the smallest cuz u add 20 + 25= 45 and that minus 100 is 55 so then u divide it by the biggest number which is 10 and that equals 5.5. However, if it has to be a whole number then it would be 55 divided by 5 which would equal 11. Hope that helps
Final answer:

Given that 20% of students are studying Physics and 25% Chemistry, the rest, which is 55% are studying Biology. In the simplest case, where the total of students is 100, the smallest number of Biology students would be 55.

Explanation:

The question asks us to identify the smallest possible number of students studying biology. Given that 20% of students study Physics and 25% study Chemistry, we can emphasize that the rest are studying Biology. In the simplest situation, the total number of science students could be 100 because percentages are based on 100. Therefore, for this case, 20 students are studying Physics, 25 are studying Chemistry, and the rest which is 55, are studying Biology. Thus, the smallest possible number of Biology students can be 55.

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add the fractions and write your answer in lowest terms

2/5 + 1/9

A. 1/15
B. 23/45
C. 3/14
D. 19/45

Answers

2/5 + 1/9

18/45 + 5/45 = 23/45

B.23/45 is your answer

hope this helps

What is the ratio of 48 cans for $9.00

Answers

48:9
because it is a ratio 48 cans for every 9 dollars

Here's my work I did a ratio box hope this helps

Trudy is making punch for a party. She plans to use 4 cans of frozen lemonade, 2 baskets of strawberries, and 1 can of frozen orange juice. What is the ratio of lemonade to orange juice?

Answers

The ratio is 4 to 1. This is because there are 4 cans of lemon juice and 1 can of frozen orange juice

How many pairs of Whole numbers have a sum of 40

Answers

whole numbers are like counting numbers { 0, 1, 2,3, 4, ...} ; only positive.
since they add to make 40 there will be 40 pairs because every time you subtract one to add to the other.

40 + 0 = 40
39 + 1 = 40
38 + 2 = 40
...
Prime #s up to 40:

2,3,5,7,11,13,17,23,29,31,37.

There are 3 pairs of prime numbers having sum of 40. The pair are {3,37},{11,29},{17,23}.

Help pleaseeeeeeee.

Answers

Answer: 11x

---------------------------------------------------
---------------------------------------------------

Explanation:

Let L be the length of rectangle B
There are two copies of L (along the top and bottom of the rectangle). The vertical pairs of sides are both 7x each.

For the triangle, we have three sides of 12x since this is an equilateral triangle. All three sides are congruent for any equilateral triangle.

The perimeter of the triangle is
P = s1+s2+s3
P = 12x+12x+12x
P = 36x

The perimeter of the rectangle is 
P = 2*L+2*W
P = 2L+2*7x
P = 2L+14x

Since both perimeters are the same, this means 
perimeter of triangle = perimeter of rectangle
36x = 2L+14x
36x-14x = 2L+14x-14x
22x = 2L
2L = 22x
2L/2 = 22x/2
L = 11x

So the length of the rectangle, in terms of x, is 11x. This is the final answer.

Note: if we knew the value of x, then we could find the numeric value of the length for the rectangle. But since we don't know x, we leave it as 11x.

For what values of y:is the value of the fraction 7−2y /6 greater than the value of the fraction 3y−7 /12 ?

Answers

Answer:

y<3

Step-by-step explanation:

Do you do rsm lol

y<3 is the value.

What is inequality?

In mathematics, an inequality is a relation that makes a non-equal assessment between two numbers or different mathematical expressions. Its miles are used most often to evaluate numbers at the quantity line by means of their size. There are several unique notations used to represent exceptional types of inequalities:

The notation a < b means that a is less than b.

The notation a > b approach that a is greater than b.

The range of y which will satisfy this inequality will result in the first fraction of a larger value as compared to the second fraction.

Multiplying both sides of an inequality by 12, we get:

12×10>12×3y-7/12

2(7-2y)>3y-7

14-4y3y-7

14+7>3y+4y

21> 7y

3>9

y<3

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what is the reciprocal of 60

Answers

1/60 is the reciprocal
hello!

In order to find the reciprocal of a number, we should just flop it over, like so:-

[tex]\sf{The~reciprocal~of~a~is~\frac{1}{a}}[/tex]

According to the formula, the reciprocal of 60 is:-

[tex]\bigstar{\boxed{\pmb{\frac{1}{60}} \longleftarrow\sf{reciprocal~of~60}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

What is the change in temperature from -8°F to 14°F?

Answers

22 because -8 to 0 takes 0 and 14 to 0 is 14 so you add 14+8 which is 22
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