Evaluate the expression by using the given values of the variables. y ÷ 4 • 3 – 6 ÷ x + 8 where x = 3 and y = 24A.
8

B.
12

C.
–8

D.
24

Answers

Answer 1

Answer: First you plug in the the variable values.

24/4 × 3 - 6/3 + 8.

Then you follow the procedure using order of operations (First you do multiplication/division right to left, then subtraction/addition)

24/4 is 6, then multiply by 3 which is 18.

So far you have 18 - 6/3 + 8. Then you divide 6/3 because it is division and you get 2.

18 - 2 + 8, then you subtract 2 from 18 to get 16 and add 8 which is 24. So the answer is D

Answer 2

Answer: y ÷ 4 • 3 – 6 ÷ x + 8 replace y with 24 and x with 3

24 ÷ 4 • 3 – 6 ÷ 3 + 8

6 • 3 – 6 ÷ 3 + 8

18 – 6 ÷ 3 + 8

18 - 2 + 8

16 + 8

24

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Beverly can drive 600 miles in the same time as it takes Susan to drive 500 miles. If Beverly drives 10 mph faster than Susan, then how fast does Beverly drive?

Answers

t = D/rtimes the sameBev = Susan's time600mi/r+10 = 500mi/r
600r = 500r + 5000100r = 5000r = 50mph, Susan's speed. Beverly's is 60 mph 50+10And...checking600/60 = 500/50 = 10hr

600/x +10 =500/x Cross multiply.
600x=5000+500x
100x=5000
X=50
50+10=60
Check work. Beverly drives 60mph

Lines g, h, and l are parallel and m ∠ 1 = 52°.

What is m ∠ 11?

Answers

m∠1 and m∠4 are equal because they are vertical.
m∠4 and m∠ 8 are equal because they are corresponding.
m∠8 and m∠12 are equal because they are corresponding.
m∠12 and m∠11 are supplementary, so the m∠11 must be equal to 128 degrees.

Is there not a picture that goes with this question?

What is 52 over 50 equals to in percent

Answers

Hey there!

Here are the steps involved in answering this question:

1. Write 52 out of 50 as a fraction which is $(52)/(50)$

2. Turn the fraction into a decimal. To do this, divide the numerator by the denominator. The numerator is the top part of the fraction while the denominator is the bottom part of the fraction.

$(52)/(50)$ = 1.04

3. You get 1.04. Now, turn this into a percent. Move the decimal, 2 places to the right or just multiply the decimal by 100.

1.04 = 104%

The final answer is 104%.

Another way of doing this is to get 100 as a denominator.
Since, percent means, "Out of 100", we have to make the denominator 100.

1. $(52)/(50)$ = 104/100

Just multiply each side by 2.

Again, the final answer is, 104%

(If you feel that my answer has helped you, please consider rating it and giving it a thank you! Also, feel free to make the best answer, the brainliest answer!)

Thank you! :D

52/50 is equal to 104%
52÷50=1.04
1.04*100=104%

The pyramid has a volume of 972 cubic inches. What are the dimensions of the pyramid?

Answers

Hi there! :) The answer I got is

Base Length: 12

Base Width: 5

Pyramid Height: 48.6

( I am sorry if it is the answer is wrong. If it is right mark as Brainliest!:) Thank you!;) )

Hope I helped! :D

Yep he is right. =) sorry i couldn't get here in time.

A polygon has an angle sum of 360°, and each angle measures 90°. What is the polygon?

Answers

A polygon has an angle sum of 360°, and each angle measures 90°. Let's find our what is the polygon.
=> 360 degrees polygon with 90 degree measure for each angles.
=> 360 degrees / 90 degrees = 4
Therefore the polygon is a square.

Two terms in a geometric sequence are a3=729 and a4=243.What is the first term of the sequence, and what is the recursive rule that describes the sequence?

Answers

The first term of the given sequence (a) = 6561

Step-by-step explanation:

Let the first term = a and common difference = d

Given,

$a_(3)$ = 729 and $a_(4)$ = 243

To find, the first term of the given sequence (a) = ?

We know that,

The nth term of a G.P.

$a_(n) =ar^(n-1)$

The 3rd term of a G.P.

$a_(3) =ar^(3-1)$

⇒ $ar^(2)$ = 729 ..............(1)

The 4th term of a G.P.

$a_(4) =ar^(4-1)$

⇒ $ar^(3)$ = 243 ..............(2)

Dividing equation (2) by (1), we get

$(ar^(3))/(ar^(2))$ = $(243)/(729)$

⇒ $r=(1)/(3)$

Put $r=(1)/(3)$ in equation (1), we get

$a((1)/(3))^(2)$ = 729

⇒ $a((1)/(9))$ = 729

⇒ a = 9 × 729 = 6561

∴ The first term of the given sequence (a) = 6561

Final answer:

The first term of the geometric sequence is 6561 and the recursive rule of the sequence is a(n) = a(n-1) * 1/3.

Explanation:

In a

geometric sequence

, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the

common ratio

. In your case, you are given the third term, a3=729, and the fourth term, a4=243 in the sequence. We know that in a geometric sequence, any term divided by the previous term gives the common ratio. So 243/729 = 1/3, which is the common ratio, r.

Now, to find the first term, we use the provided values and the formula for the nth term in a geometric sequence which is a = a3 / r^n, where a is the first term, r is the common ratio, and n is the term number. Therefore, to find the first term, we go back two steps from the third term (729) dividing by 1/3 each time: (729/1/3) = 2187 (which is the second term) and again (2187/1/3) = 6561 (which is the first term).

So, the first term, a1=6561, and the recursive rule that describes this sequence is a(n) = a(n-1) * 1/3