The ratio of girls to boys in the junior high band is 5 to 7. At the beginning of the year, there were 72 students in the band. By the end of the year, the ratio of girls to boys was 3 to 4. If there are now 48 boys in the band, how many girls joined the band during the school year?

Answers

Answer 1

Ratio is 5girls:7boys with total 72 students
5+7= 12
72➗12= 6
6(5:7)= 30 girls : 42 boys

New ratio is 3:4 with 48 boys

48➗4= 12

So for girls 3x12= 36

So started with 30 girls ended with 36 girls... 6 girls joined band during the school year.

Answer 2

36 is the amount of girls and 48 boys

Related Questions

Which three points in the figure are collinear?

a) F, E, G
b) A, B, D
c) E, C, A
d) A, B, C

Answers

Answer: Choice A) points F, E, and G are collinear

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To be collinear, it means that the points all fall on the same straight line. In this case, that applies to points F, E and G. This line is not fully contained in the plane and only touches at point E. In contrast, a group of points like A,B,C aren't collinear since they don't fall on the same line. A triangle shown indicates a line isn't possible.

In the figure, the points F, E, and G are collinear. Collinear points are points that lie on the same straight line. The correct option is A).

Point F is clearly on the same straight line as points E and G because it falls directly in line with them, creating a continuous sequence.

It can visualize this by a line passing through points F, E, and G. This line would pass through all three points without any interruption.

No other points in the figure form such a straight-line arrangement with F and G, further confirming that F, E, and G are the collinear points.

In summary, points F, E, and G are collinear because they lie on the same straight line, and no other points in the figure share this property with them.

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e=mc squared
solve for c

Answers

E = mc

Start by dividing both sides by m

E/m = c/m^2

E/m = c^2

c = square root of em /m
OR
c = - square root of em /m

Answer:

c = + √ E

__ __

Step-by-step explanation:

E=mc^2 for c

_ = c^2

Lisa is covering a rectangular table with small square tiles. It will take 32 rows of tile with 48 tiles in each row. How many tiles are needed to cover the table?

Answers

multiply:

32*48 = 1536 tiles

To figure this out you just multiply 32 by 48, which is 1,536.

757 divided by 68 with remainder

Answers

757 / 6 = 11 and remainder = 9

hope it helps

When dividing 757 by 68, the result is a quotient of 11 with a remainder of 9.

When dividing 757 by 68, the quotient is the largest whole number that can be obtained by dividing 757 by 68, and the remainder is the number left over after performing the division.

68 ) 757 (11

- 68

______

- 68

______

The quotient remains 11, and we subtract 68 (68 multiplied by the quotient) from 777 to get 9. At this point, we have no more digits to bring down.

The quotient is 11, and the remainder is 9.

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in the equation 10n=120, is n 10?

Answers

No, n is 12.

To solve it, divide both sides by 10,
120/10 = 12

Hope this helps!

No, n would be 12 because 120/10 equals 12

At a basketball game, A vendor sold a combined total of 188 sodas and hotdogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas in the number of hot dogs sold?

Answers

62.6666667 is the answer

How do I solve for x?

Answers

x + 96 = 90
x = 90 - 96
x = -6

According to the same-side interior angle postulate, these two angles add up to 180. So:

x+96+x+96 = 180
2x + 192 = 180
2x = -12
x = -6

Do not be alarmed that x is negative. Just because x is negative does not mean that the angle is negative!

Hope this helps!

Literal equations
A=bh/2
solve for h

Answers

Multiply both sides by 2
(2a = bh)
Divide both sides by b.
b cancels out on the right side.
(2a/b = h)
Switch sides

Answer: h = 2a/b

The value of the given equation A = bh/2 for h will be (2A)/b.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation.

As per the given equation,

A = bh/2

Multiply by 2 on both sides,

2A = (bh)/2 x 2

2A = bh

Divide both sides by b,

(2A)/b = bh/b

(2A)/b = h

Hence "The value of the given equation A = bh/2 for h will be (2A)/b".

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Can someone plz help me with this math problem.

Answers

She can make 30 bows

You need to change 2/5 into a decimal which is 0.4. So then take that and you want to know how many bows can you make with 8 yards of ribbon, so divide 8 by 0.4, to get you answer which is 20 bows! I hope this helps!

what the value of the expression below when a =-2,b=3 and c=-5

Answers

I get the answer of

A. -9

A teacher is making identical activity packets using 92 crayons and 23 sheets of paper. What is the greatest number of the packets the teacher can make with no left over items?

Answers

92/23 = 4

so she can make 23 packets, 1 sheet of paper and 4 crayons

The basketball coach made up a game where each player takes 10 shots at the basket. For every basket made, the player gains 10 points. For every basket missed, the player loses 15 points. The player with the highest score sank 7 baskets and missed 3. What was the highest score?

Answers

# of baskets made: 7

# of baskets missed: 3

every basket made: 10pt

every basket missed: -15pt

7(10)+(-15)(3)
70+(-45)
70-45
25

a number is divisible by 4 if the last two digits are divisible by 4

Answers

what are you trying to say here i mean yes it could be true if you divide it by 2 or 1.

What is 8.61×10−8 in decimal form?

0.000000861
0.0000000861
8,610,000
861,000,000

Answers

Is 10 to -8 power? Or not

Non-examples Of zero pairs?

Answers

A zero pair is created when a pair of numbers, one positive and the other negative, equals a sum of zero.The main purpose of a zero pair is to simplify the process of addition and subtraction in complex mathematical equations featuring multiple numbers and variables. For example, in the problem 2+6-3-2, the positive 2 and the negative 2 cancel each other out because they are a zero pair, thus reducing the problem to 6-3. Examples of Zero Pair: -9 + 9 = 0

Use the vocabulary term "absolute value" to explain the term opposite as it pertains to positive and negative numbers. Explain why zero is the opposite of itself

Answers

It’s Is In A Very Positive Way

Answer:

zero is the opposite of itself because there is no negative zero to be its opposite so it is itselfs opposite.

Audrey has some guppies in a fish tank. The ratio of the orange guppies to silver guppies is 3:5. She has 12y orange guppies. Write the number of silver guppies she has in terms of y.

Answers

By proportion:-

3/5 = 12y / xy = 12/x

3x = 5*12 = 60
x = 20

so there are 20y silver guppies in the tank.

Bridget works part time in a shoe store. Sometimes when it is not busy, she rearranges the shoes for fun. If she takes six different pairs of shoes and rearranges them in a row, in how many ways can she rearrange them so that no two shoes match?

Answers

hi i have an idea make a pattern to organize the shoes

A bowling league requires you to buy a bowling ball for $45 and pay $12 for each game. If you spent a total of $117, how many games did you play? *

Answers

You played 6 games. Your bowling ball is 75 dollars which minus the 117 leaves you with 72 and 72 divided by 12 is 6.

ten less the quotient of a number and 3 and is 6

Answers

"Ten less" means that we subtract 10. "Quotient" means that we divide.
(x / 3) - 10 = 6 I can show you how to solve for x. Add 10 on both sides of the equation. x / 3 = 16 Multiply both sides of the equation by 3. x = 48
I hope I helped :)

Final answer:

The question is about solving the algebra equation derived from the statement 'Ten less the quotient of a number and 3 is 6'. The equation is x/3-10=6 and through algebraic operations, we find that the solution is x = 48.

Explanation:

The subject of your question is Algebra, which is a branch of Mathematics. From your question, 'Ten less the quotient of a number and 3 is 6', we can write the algebraic equation. First, 'the quotient of a number and 3' is represented as x/3. Then, 'ten less' means we subtract 10 from the result. Lastly, 'is 6' means equals to 6. Therefore, the equation is: x/3 - 10 = 6.

To solve this equation, first of all, you should deal with the subtraction by adding 10 to both sides of the equation, which gives you x/3 = 16. Secondly, you then get rid of the fraction by multiplying both sides by 3, which yields x = 48. Hence 48 is the solution to your algebraic equation.

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Somebody help me with this

Answers

its >. since the 14 is on top, you are dividing 14 by seven which would be 2.

2 > 2/4.

Th answer is:
14/7 > 2/4

How to find the scale factor of a rectangle?

Answers

To find the scale factor, we divide one side by another that we know is correlated to that side (for example, if the sides are parallel). Since we can see that SR lines up with S'R' and RQ lines up with R'Q' (since it's in the same pyramid, they're parallel), they are similar. Finding the ratio, we get 6/15 or 4/10 or 2/5. That means that S'P' * 2/5=SP etc..

k/π = 6.7 (Solve For k)

Answers

k: 21.038
21.038 ÷ π (3.14) = 6.7

Can 1.3 be turned in to a fraction

Answers

yes this is the answer

A package of blank CDs usually costs $8.50. This week it's on sale for 15% off. What's the discount?

Answers

8.50×0.15= 1.275
1.28 is the amount you get off
8.50 is the original price
7.22 is amount paid

8.50 x .15 = 1.275 (discounted amount)

Subtract the discounted amount ($1.28 from $8.50)

8.50 - 1.28 = 7.22

The expression s2 is the area of a square, where s is the side length of the square. What does the expression (6x)2 represent?
A) the area of a square with a side length of 6
B) the area of a square with a side length of 12
C) the area of a square with a side length of 3x
D) the area of a square with a side length of 6x

Answers

d) the area with side length 6x

Answer:

The correct option is D.

Step-by-step explanation:

The area of a square with side s is defined as

[tex]A=s\times s[/tex]

[tex]A=s^2[/tex] .... (1)

The given expression is

[tex]A=(6x)^2[/tex] .... (2)

From (1) and (2), we get

[tex]s=6x[/tex]

It means the expression [tex](6x)^2[/tex] represents the area of a square with a side length of 6x .

Therefore the correct option is D.

for every 300 kids in high school 2/3 of them take a language. What is the value of a number of students who dont take a language to the number that do?

Answers

All you have to do is divide 300 hundred by 3 and you get 100 students that don’t take a language So 200 students take language and 100 students don’t take language

LCM of 15, 30, and 45

Answers

The LCM of 15, 30, and 45 is 90

What's a rational number between 8 and 8.1

Answers

A rational number is any number that can be written in a/b form (like a fraction). So it just can't be a repeating decimal like how pie goes on forever. So let's see. 8.05 could work. Since you could write that as 8.05 over 1 (8.05/1)

The rational number between 8 and 8.1 is 8.05 / 1 or 16.1 / 2.

What is Number system?

A system of writing to express the number is called number system.

Given that;

The numbers are,

⇒ 8 and 8.1

Now,

Find the rational number between 8 and 8.1 as;

The rational number = (8 + 8.1) / 2

= 16.1 / 2

= 8.05 / 1

Thus, The rational number between 8 and 8.1 is 8.05 / 1 or 16.1 / 2.

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you are given the measure of angle 4. You also know the following angles are supplementary: Angles 1 and 2, angles 2 and 3, angles 1 and 4. Explain how you can determine the measures of angles 1, 2, and 3.

Answers

If you are given the measure of angle 4, then we know angle 2 is equal since it is a vertical angle. The angle of a line is 180 degrees, so subtract the measure of angle 4 (and/or 2) which will give you the angle measure for both angle 1 and 3, since those are also equal due to vertical angles. Hope that helped! :)

Final answer:

To find the measures of angles 1, 2, and 3, use the fact that angle 1 is supplementary to both angles 2 and 4, and angles 2 and 3 are supplementary. Set up equations and solve them simultaneously to find the measures of the angles.

Explanation:

To determine the measures of angles 1, 2, and 3, we can use the information that angle 1 is supplementary to both angles 2 and 4, and angles 2 and 3 are supplementary. Since angles that are supplementary add up to 180 degrees, we can set up equations to solve for the measures of angles 1, 2, and 3.

Let's represent the measure of angle 4 as x. Then we can write the equations:

Angle 1 + Angle 4 = 180 degreesAngle 2 + Angle 3 = 180 degreesAngle 1 + Angle 2 = 180 degrees

Substituting x for the measure of angle 4, we can solve these equations simultaneously to find the measures of angles 1, 2, and 3.

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