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2 years ago

I have the answer but can someone explain how to solve this problem? Thanks!

Mathematics

1 answer:

uranmaximum [27]2 years ago

4 0

Answer:

$32

Step-by-step explanation:

27 was how much money Taylor had after buying a salad that was worth 5 dollars.

Money before buying the salad is 27+5 = 32.

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The perimeter of a rectangle is 338, if the ratio of the length to the width is 8:5, find the length

STALIN [3.7K]

Let the length be 8x and the width = 5x, then
Perimeter = 2(length + width) = 2(8x + 5x) = 2(13x) = 26x
338 = 26x
x = 338/26 = 13

Therefore, length = 8x = 8 x 13 = 104

4 0

3 years ago

Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8

vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function $f(x)=1/x$ . We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

$\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8$

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

$\frac{.5b-1}{2b-b^2} =\frac{-1}{8}$

Now, cross multiply.

$4b-8=b^2-2b$

$b^2-6b+8=0$

Solve for b. Factor using the numbers -4 and -2.

$=(b-4)(b-2)=0$

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

4 0

3 years ago

The half-life of a certain radioactive material is 78 hours. An initial amount of the material has a mass of 790 kg.. Write an e

adoni [48]

half life i= 78 hours
amount after 78 hours is 395 kg:
395 = 790e^(k*78)

Dividing by 790 and taking natural log
ln (395/790) = (k*78)
-0.6931 = 78k
-0.00888 = k

lets calculate how much is left after 18 hours:
Amount(18)
= 790e^(-0.00888*18)
Amount = 673.301 kg
hope this helps

4 0

3 years ago

Read 2 more answers

Which expression represents x less than 9 A.X-9 B. 9-X C.-9X-9 D.9X-9

Orlov [11]

Answer:

answer of this question is option A x-9 this represent solution

8 0

3 years ago

How do I solve this equation?

jek_recluse [69]

The answer is 7
7^ ⁴ = 49

7 0

3 years ago