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Montano1993 [528]
3 years ago
6

Which of the following solves the proportion 3/8 = x/24?

Mathematics
2 answers:
grin007 [14]3 years ago
3 0
The answer is 9. If you multiply the denominator of the first fraction by 3, you get the denominator of the second fraction. To find the top number of the second fraction, you also have to multiply the numerator by 3. Therefore the answer would be 9.
erik [133]3 years ago
3 0

24 / 8 = 3

This shows that 8 was multiplied by 3 to get 24.

3 * 3 = 9

Now, we know that 9 solves the proportion. (x = 9)

To check, we can simplify 9/24.

9/24 → 3/8

Hope This Helped! Good Luck!

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Write the equation of a line that is parallel to y = 6x +1 and that passes through the point (-7,1).
Dima020 [189]

Answer:

y=6x+43

Step-by-step explanation:

We want the equation of a line that is parallel to y=6x+1 which also passes through (-7, 1).

Since the new line is parallel, it must have the same slope as the original line.

The slope of the original line is 6.

Hence, the slope of our new line must also be 6.

We know that the slope is 6.

And it passes through the point (-7, 1).

So, we can use the point-slope form:

y-y_1=m(x-x_1)

Where m is the slope and (x₁, y₁) is a point.

Substitute:

y-1=6(x-(-7))

Simplify:

y-1=6(x+7)

Distribute:

y-1=6x+42

Add 1 to both sides. Hence, our equation is:

y=6x+43

5 0
3 years ago
If p(a) = 0.62, p(b) = 0.47, and p(a or<br> b.= 0.88, then p(a and<br> b.= _____
SIZIF [17.4K]
Use the identity:
P(A or B)=P(A)+P(B)-P(A and B)
Substitute given values,
0.88=0.62+0.47-P(A and B)
=>
P(A and B)=0.62+0.47-0.88=0.21
6 0
4 years ago
There are 785 students in the senior class. If there are 77 more females in the class than males, how many male and female senio
VLD [36.1K]
There are 431 females

785-77=708
708/2=354
354=males
354+77=431
431=females 
to check work do 431=354 and that equals 785
5 0
3 years ago
Identify pairs of Alternate interior angles<br> pls help me
dangina [55]

Answer:

Alternate interior angles-

<2 and <7

<4 and <5

3 0
3 years ago
Read 2 more answers
Me voy a comprar una barra de cortinas. Como vivo en un doceavo piso, me interesa saber cuál es la longitud máxima que puedo met
iren2701 [21]

Answer:

The maximum length of the bar I could fit in the elevator is 2.87 meters.

Step-by-step explanation:

<u><em>The question in English is</em></u>

I'm going to buy a curtain rod. Since I live on a twelfth floor, I'm interested in knowing the maximum length I can put in the elevator.

So I take out my pocket tape measure, which only measures up to a meter and I measure the floor which turns out to be a square of 1m x 1m, but for the height it doesn't give.

However, there's a sticker on the lift box that says it has a capacity of 2,500 litres.

With all this information, what is the maximum length of bar that would fit me in the elevator?

step 1

Find the height of the elevator

we know that

The elevator has a capacity of 2,500 litres.

1\ m^3=1,000\ L

so

2,500\ L=2.5\ m^3

The volume of the elevator is given by

V=Bh

where

B is the area of the base

h is the height of the elevator

we have

B=(1)(1)=1\ m^2\\V=2.5\ m^3

substitute

2.5=(1)h\\h=2.5\ m

step 2

Find the diagonal of the base of the elevator

Let

d ---> diagonal of the base of the elevator

Applying the Pythagorean Theorem

d^2=b^2+b^2

substitute

d^2=1^2+1^2

d=\sqrt{2}\ m

step 3

Find the diagonal of the rectangular prism (elevator)

Let

D ----> diagonal of the rectangular prism

d ---> diagonal of the base of elevator

h ----> height of the elevator

Applying the Pythagorean Theorem

D^2=d^2+h^2

substitute

D^2=(\sqrt{2})^2+2.5^2

D^2=8.25\\D=2.87\ cm

therefore

The maximum length of the bar I could fit in the elevator is 2.87 meters.

3 0
3 years ago
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