All categories

2 years ago

The ratio of boys to students is 3 to 7. If there are 20 girls in the school, then how many boys are in the school?

Mathematics

1 answer:

qwelly [4]2 years ago

5 0

Answer:

No. of boys = 15

Step-by-step explanation:

Given that,

The ratio of boys to student is 3:7.

Number of girls in the school = 20

We need to find the number of boys in the school.

Let there are 3x boys and 7x number of students.

No. of girls = Total students - no. of boys

= 7x-3x

= 4x

ATQ,

4x = 20

x = 5

No. of boys = 3x

= 3(5)

= 15

Hence, there are 15 boys in the school.

You might be interested in

convert the following logarithmic equation to the equivalent exponential equation. Use the caret (^) to enter exponents. y=ln x

GarryVolchara [31]

1. To solve this problem, you need to remember that an exponential function has the following form:

f(x)=a^x

"a" is the base and "x" is the exponent.

2. It is important to know that the logarithmic functions and the exponential functionsare inverse. Then, you have:

y=ln x
 e^y=e^(lnx)
 e^y=x

3. Therefore, the answer is:

x=e^y

5 0

3 years ago

George’s age is three times that of his brother. When you add George’s age to his brother’s, you get 24. How old is each brother

vivado [14]

Answer:

G=18

Step-by-step explanation:

George-G

1/3G+G=24

4/3G=24

3/4*4/3G=24*3/4

G=18

George will be 18 years old there we can find his brothers age by dividing it by three thus 18/3=6

5 0

3 years ago

Read 2 more answers

Line m has the equation y = 1/2x - 4

Mandarinka [93]

Answer:

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is

$y=mx+b$

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

$x-2y=4$

solving for y to writing the equation in the slope-intercept form and determining the slope

$x-2y=4$

Add -x to both sides.

$x - 2y + (-x) = 4+(-x)$

$-2y = 4 - x$

Divide both sides by -2

$\frac{-2y}{-2}=\frac{-x+4}{-2}$

$y=\frac{1}{2}x-2$

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

3 0

2 years ago

Find the slope of the line that passes through (4, 9) and (6, 10).

kramer

Step-by-step explanation:

Slope (m) =ΔYΔX=12=0.5θ =arctan(ΔY)ΔX=26.565051177078°ΔX = 6 – 4 = 2ΔY = 10 – 9 = 1Distance (d) = √ΔX2 + ΔY2 = √5

= 2.2360679774998

4 0

2 years ago

Can you help? photo is included

laiz [17]

Answer:

Step-by-step explanation:

f(x)=-4x+2

g(x)=x²+1

(gof)(x)=g(f(x))=g(-4x+2)=(-4x+2)²+2=16x²-16x+4+2=16x²-16x+6

(gof)(3)=16(3)²-16(3)+6=144-48+6=150-48=102

3 0

3 years ago