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Yakvenalex [24]

3 years ago

13

Choose all that are correct given the equation: y=1/4 x + 9 A.y=7.25 when x = -7 B.y=7 when x = -8 C.y=8.5 when x =-4 D.y=10.25

when x = 5

1 answer:

Mila [183]3 years ago

4 0

Answer:

Step-by-step explanation:

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If a girl in a bikini has walked 4 KM in 10 minutes, How many kilometers does she walk in 3 years?

Mashutka [201]

Answer:

631139.04 kilometers in 3 years

Step-by-step explanation:

Let x = how many kilometers she walk

y = time (minutes)

Since she walks 4km in 10 minutes.

x = 4, y = 10

(4,10)

But how many minutes if she walk only a kilometer? Divide x and y by 4.

(1,2.5)

She walks a kilometer under 2.5 minutes.

Now finding rate of changes.

$\displaystyle \large{m = \frac{10 - 2.5}{4 - 1} } \\ \displaystyle \large{m = \frac{7.5}{3} } \\ \displaystyle \large{m = 2.5}$

Since m = 2.5

and of course, the function should be proportional so the equation should be y = mx.

$\displaystyle \large{y = 2.5x }$

Since time should be minutes instead of years.

Since 3 years = 1577847.6 minutes

$\displaystyle \large{1577847.6 = 2.5x}$

Divide both sides by 2.5

$\displaystyle \large{ \frac{1577847.6}{2.5} = x} \\ \displaystyle \large{631139.04 = x }$

5 0

3 years ago

14m+m+17m−9m if m=30

NikAS [45]

Answer:

690

Step-by-step explanation:

Put 30 where m is in the expression and do the arithmetic. Or, simpify the expression first, then do the same.

14·30 +30 +17·30 -9·30 = 420 +30 +510 -270 = 690

Simplifying first, you have ...

14m +m +17m -9m = m(14 +1 +17 -9) = 23m

23·30 = 690

4 0

4 years ago

The radius of the large sphere is double the radius of the small sphere.

Vlad [161]

Answer:

8

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Remember that all the spheres are similar

Let

z ----> the scale factor

V_1 ---> the volume of the large sphere

V_2 ---> the volume of the small sphere

$z^3=\frac{V_1}{V_2}$

<em>Find the scale factor</em>

we know that

The radius of the large sphere is double the radius of the small sphere

so

The scale factor is 2

$z=2$

substitute the value oz z

$z^3=\frac{V_1}{V_2}$

$2^3=\frac{V_1}{V_2}$

$8=\frac{V_1}{V_2}$

$V_1=8V_2$

The volume of the large sphere is 8 times the volume of the small sphere

8 0

4 years ago

Read 2 more answers

Trapezoid JKLM is is shown below. What is the length in centimeters, of KL

IrinaVladis [17]

The complete question is:

Trapezoid JKLM is shown below.

What is the length, in centimeters, of KL ?

A. 12 cm

B. 10 cm

C. 9 cm

D. 6 cm

The mentioned figure is attached.

Answer:

$\large\boxed{option\text{ B. }(\overline{KL})=10cm}$

Explanation:

1. KL is the hypotenuse of a right triangle; hence, you can use Pythagora's theorem to find its length.

2. The height 8 cm is one leg of the right triangle.

3. The other leg may be found by difference:

$\overline{ML} -\overline{JK}=15cm-9cm=6cm$

4. Now you can use Pythagora's theorem:

$hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ (\overline{KL})^2=(8cm)^2+(6cm)^2\\ \\ (\overline{KL})^2=64cm^2+36cm^2=100cm^2\\ \\ (\overline{KL})=10cm$

3 0

4 years ago

Inverse operations add up, multiply, divided?

maxonik [38]

Answer:

Addition and subtraction are inverse operations. Start with 7, then add 3 we get 10, now subtract 3 and we get back to 7.

Another Example: Multiplication and division are inverse operations. Start with 6, multiply by 2 we get 12, now divide by 2 and we get back to 6.

3 0

3 years ago