MATHEMATICS HIGH SCHOOL

If y is directly proportional to x and if y = 20 when x = 6, what is the value of y when x = 9 ? (A) 10/3
(B) 40/3
(C) 23
(D) 27
(E) 30

Can someone explain this one for me?

Answers

Answer 1
Answer: E - 30. From 6 to 9 is increase of 1.5times

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The number of dogs in a shelter is equal to 4 less than 2 times the number of cats. If there are 20 dogs in the shelter how many cats are there?

Answers

d=number of dogs
c=cats

d equals 4 less than 2 times c
d=-4+2c
20 dogs
d=20
subsitute
20=-4+2c
add 4
24=2c
divide 2
12=c
12 cats

Round 44.8 to the nearest whole number

Answers

55 is the nearest whole number

Answer:

45 is the nearest whole number.

Step-by-step explanation:

You look at the first decimal when rounding to the nearest whole number.

4 or less let it rest

Example: 36.2

2 is less than 4 so you let it rest and the nearest whole number would be 36.

5 or more raise the score

Example: 36.6

6 is 5 or more so you raise the score and the nearest whole number would be 37.

Hope this helps!! :)

In the figure, ΔABC ~ ΔDEF. Solve for x.

Answers

Answer:

x=5

Step-by-step explanation:

It is given that ΔABC is similar to ΔDEF, thus using the similarity postulate, we have

(CB)/(EF)=(AB)/(ED)

⇒(24)/(6)=(20)/(x)

On Cross multiplying, we get

⇒x=\frac{20{*}6}{24}

⇒x=(20)/(4)

⇒x=5

Thus, the value of x will be 5.

Your friend deposits $8500 in an investment account that earns 2.8% annual interest. What is the balance after 8 years when the interest is compounded quarterly? 1

Answers

I believe the balance would be $10,601.42

Hopefully that is the right answer

How can I find the value of 78 x n when n= 3237

Answers

Replace n with 3237 so you have 78*3237
And you get 252486 as your answer

A triangle, ΔABC, is reflected across the x-axis to have the image ΔA'B'C' in the standard (x,y) coordinate plane; thus, A reflects to A'. The coordinates of point A are (c,d). What are the coordinates of point A'?

Answers

The coordinates of point A' is (c, -d).

What is a reflection?

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

A triangle, ΔABC, is reflected across the x-axis to have the image ΔA'B'C'.

Now,

A = (c, d)

Reflection across the x-axis.

This means,

(x, y) → (x, -y)

So,

(c, d) → (c, -d)

Thus,

(c, -d) is the coordinates of point A'.

Learn more about reflections here:

brainly.com/question/12463306

#SPJ1

Answer:

sorry fr being 7 years late, but the answer is option a!

Step-by-step explanation:
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