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2 years ago

A class has 4 boys and 10 girls. What is the ratio in simplest form that compares number of boys to total number of students?

Mathematics

1 answer:

Colt1911 [192]2 years ago

4 0

Answer:

2:7

Step-by-step explanation:

There are 4 boys and 14 total students (# of boys + # of girls). Therefore, the ration that compares boys to total number of students is 4:14 which is 2:7 in simplest form.

Hope this helps :)

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yesterday the temperature was 7 degrees fahrenheit . Today the temperature is 0 degrees fahrenheit . What was the change in the

lawyer [7]

Answer:

-7

Step-by-step explanation:

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2 years ago

A line segment on a number line has its endpoints at -9 and 6. what is midpoint

ivolga24 [154]

Midpoint formula = (-9 + 6) / 2 = -3/2

8 0

3 years ago

Find the equation of locus of a point which moves such that its distance from (0,2) is one third distance from (-2,3). ( I WILL

scoray [572]

Answer:

$8(x^2+y^2)-4x-30y+23=0$

Step-by-step explanation:

<u />

<u>Distance formula</u>

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let P(x, y) = any point on the locus

Let A = (0, 2)

Let B = (-2, 3)

If a point moves such that its distance from (0, 2) is one third distance from (-2, 3):

$PA=\dfrac{1}{3}PB$

Therefore, using the distance formula:

$\implies \sqrt{(x-0)^2+(y-2)^2}=\dfrac{1}{3}\sqrt{(x-(-2))^2+(y-3)^2}$

Square both sides:

$\implies x^2+(y-2)^2=\dfrac{1}{9}[(x+2)^2+(y-3)^2]$

$\implies x^2+y^2-4y+4=\dfrac{1}{9}(x^2+4x+4+y^2-6y+9)$

Multiply both sides by 9:

$\implies 9x^2+9y^2-36y+36=x^2+4x+4+y^2-6y+9$

$\implies 8x^2+8y^2-4x-30y+23=0$

$\implies 8(x^2+y^2)-4x-30y+23=0$

3 0

2 years ago

Julie rides her bike from the sports complex to the school. Then she rides from the school to the mall, and then on to the libra

user100 [1]

Answer:

Between the two persons presented above, Julie had ridden farther.

Step-by-step explanation:

This is because from the routes she had taken, she would be covering greater distance compared to Kyle. Julie still ad to ride from the complex to school.

4 0

3 years ago

Please help and show work if you can

krok68 [10]

Answer:

7. x = 5

8. x = 2, y = 6

9. x = 21, y = 39

Step-by-step explanation:

For a parallelogram, the lengths across intersection are equal.

7. For a parallelogram, the lengths across intersection are equal.

So that,

3x = 4x - 5

4x - 3x = 5

x = 5

8. For a parallelogram, the lengths across intersection are equal.

So that,

2x = 4

x = $\frac{4}{2}$

x = 2

and

y - 1 = 2y -7

7 - 1 = 2y - y

y = 6

x = 2, y = 6

9. For a parallelogram, opposite angles have equal value.

Thus,

3x = (4x - 21)

3x = 4x - 21

x = 21

and

3y = (y + 78)

3y = y + 78

3y - y = 78

2y = 78

y = $\frac{78}{2}$

= 39

y = 39

x = 21, y = 39

4 0

2 years ago