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3 years ago

Can someone explain how to solve these sorts of ratio problems where you have to find x? Thanks.

Mathematics

1 answer:

Valentin [98]3 years ago

8 0

Answer:

Step-by-step explanation:

the common is 3 so the missing side from thw other triangle it is 8p7 so 3 x 7 is 21!

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The mathematics department of a college has 6 male professors, 9 female professors, 5 male teaching assistants, and 6 female tea

Hitman42 [59]

Given:

6 male professores

9 female professores

5 male teaching assistants

6 female teaching assistants

Sol:.

$N(A\text{ or B)=N(A)+N(B)-N(A and B)}$

N (professors)

$\begin{gathered} =6+9 \\ =15 \end{gathered}$

N(Male)

$\begin{gathered} =6+5 \\ =11 \end{gathered}$

N(professors and male)

$=6$

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

$\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}$

N(People to choose from)

$\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}$

Then probablitiy is:

$\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}$

Then the probability is 10/13

6 0

1 year ago

Scaler factor of 1/2

olasank [31]

Dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.

<h3>What is dilation?</h3>

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

Here, △ HIJ are:

IH = 3

IJ = 4

then using the scale factor = 1/2 we get

Therefore, we have:

I'H '= 1.5

I'J '= 2

Hence, dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.

Learn more about this concept here:

brainly.com/question/1011146

#SPJ1

3 0

2 years ago

Is y = -0.375x + 16.625 a linear equation?

Ulleksa [173]

Answer:

Step-by-step explanation:

Yes as the x term is to the first power and is not raised to a larger exponent.

7 0

3 years ago

A car traveld 32 miles in 4 hours at this rate how many miles will the car travel in 0.5 hours

Mandarinka [93]

Answer:

4 miles

Step-by-step explanation:

In order to find how many miles the car will travel in 0.5 hours, we can set up a proportion.

$\frac{32}{4} = \frac{x}{0.5}$

We can now cross multiply to find the value of x.

$32 \cdot 0.5 = 16\\\\16\div4 = 4$

So the car can travel 4 miles in 0.5 hours.

Hope this helped!

5 0

4 years ago

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Ed has 36 red jelly beans 48 blue jelly beans and 72 yellow jelly beans he wants to divide them equally among his friends at the

blagie [28]

12 is the greatest number because it is the highest common factor between the three numbers.

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4 years ago

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