Which expression is equivalent to 8(a+3)

Mathematics

1 answer:

Alex777 [14]3 years ago

8 0

Answer:

8a + 24

Step-by-step explanation:

Use Distributive property: a(b +c) = a*b + a*c

Here a = 8 ; b= a & c = 3

8(a + 3) = 8*a + 8*3

= 8a + 24

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soldi70 [24.7K]

Answer:

$24.11

Step-by-step explanation:

Let the cost of the present be c.

Then (3/4)c = $18.33.

To isolate (solve for) c, mult. both sides of this equation by (4/3):

(4/3)(3/4)c = (4/3)($18.33), or

c = $24.11

5 0

4 years ago

The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?

Sholpan [36]

The domain is {2,5} which the set containing the numbers 2 and 5. I'm assuming that the function is f(x) = 3x3. So...

when x = 2, f(x) = 3*23 = 3*8 = 24.
when x = 5, f(x) = 3*53 = 3*125 = 375.

so this means the functions range is {24, 375}

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6 0

3 years ago

A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.

zzz [600]

Answer:

$CI=(66.54,78.46)$

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , $\bar{X}=72.5\%$ , s=5.8%