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lesya [120]
2 years ago
7

The ratio of girls to boys in the junior high band is 5 to 7. At the beginning of year, there were 72 students in the band. By t

he 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?
Mathematics
2 answers:
Andre45 [30]2 years ago
8 0

Answer:

Your answer will be 36

Step-by-step explanation:

I know that because there were 30 girls in the beginning of school and 6 girls joined band with is 36

rusak2 [61]2 years ago
7 0
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.
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Determine the solution to f(x) = g(x) using the following system of equations: (5 points) f(x) = 3x − 23 g(x) = −4.5x + 7
jeka94

Answer:

(The solution is (4, -11).

Step-by-stp explanation:

Let f(x) = g(x) = y:

y = 3x − 23

y = -4.5x + 7     Subtract the second equation from the first to eliminate y:

0 = 7.5x - 30

7.5x = 30

x = 4

Plug this into the first equation:

y = 3(4) - 23

y =  -11.

5 0
3 years ago
Identifying the slope, y-intercept and x- intercept of each
Elena L [17]

Answer:

slope= -3

y-intercept= 6

Step-by-step explanation:

1. Approach

To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.

2.Solve for the slope

The formula to find the slope of a line is;

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where (m) is the variable used to represent the slope.

Use the first two given points, and solve;

(1, 3), (2, 0)

Substitute in,

\frac{(0)-(3)}{(2)-(1)}

Simplify;

\frac{-3}{1}\\\\=-3

3. Put equation into slope-intercept form

The equation of a line in slope-intercept form is;

y = mx + b

Where (m) is the slope, and (b) is the y-intercept.

Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).

y=-3x+b

Substitute in point (3, -3)

-3=-3(3)+b\\-3 = -9 + b\\6 = b

4 0
2 years ago
15 is the same as the product of 3 and a number. Which equation models this sentence?
adelina 88 [10]

Question

15 is the same as the product of 3 and a number. Which equation models this sentence?

15=3x

15=x-3

15=3+x

15=x divided by 3

Answer:

<h2>15=3x</h2>

Step-by-step explanation:

15 = 3x

x = 15 : 3

x = 5

.........................

check

15 = 3 * 5

15 = 15

the answer is good


3 0
3 years ago
Read 2 more answers
Is 9/3 a whole number
Liono4ka [1.6K]

Yes! 3x3= 9. Therefore, 3 goes into nine 3 times. So the whole number would be 3.

6 0
3 years ago
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Plz help It’s important
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Answer:

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8 0
2 years ago
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