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algol13
3 years ago
10

Use the Distributive Property to rewrite this algebraic expression.

Mathematics
2 answers:
dimulka [17.4K]3 years ago
7 0

Answer:

B

Step-by-step explanation:

Nostrana [21]3 years ago
4 0

Answer:

B. 8x + 56

Step-by-step explanation:

You might be interested in
2, 11, 20, 29, 38, 47, 56,...
SIZIF [17.4K]

Answer:

B

Step-by-step explanation:

For example, subtract 56 by 47, you get 9. Each term is 9 more than the previous term.

3 0
3 years ago
Kamran wins the big game lottery. He invests part of his winnings in treasury bonds promising a 5% annual return and he deposits
Ostrovityanka [42]

Answer:

Amount won by Kamran = $21,450

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of the amount invested in treasury bonds

Since the limit to the duration of investment is not stated, the amount invested can be calculated using the formula for calculating the present value of a perpetuity as follows:

PV = P / r …………………………………. (1)

Where;

PV = Present value or the amount invested treasury bonds = ?

P = Annual return on his investments = $661.25

r = Annual rate of return = 5%, or 0.05

Substitute the values into equation (1), we have:

PV = $661.25 / 0.05 = $13,225

Step 2: Calculation of the amount deposited in the money market account

From Step 1 above, we have:

Amount invested treasury bonds = $13,225

Since he invests $5000 more in treasury bonds than he deposits in the money market account, the amount deposited in the money market account can be calculated as follows:

Amount deposited in the money market account = Amount invested treasury bonds - $5,000 = $13,225 - $5,000 = $8,225

Step 3: Calculation of the amount won by Kamran

Amount won by Kamran = Amount invested treasury bonds + Amount deposited in the money market account = $13,225 + $8,225 = $21,450

7 0
3 years ago
Chanda can bake and decorate 72 cookies in 2.5 hours. At this rate,how long will it take her to bake and decorate 108 cookies?
In-s [12.5K]

Hello there! A. 3.75 hours is your answer.

Okay, so lets start by finding the unit rate. To find the unit rate, we can use this formula: total ÷ time = unit rate.

total (72 cookies) ÷ time (2.5 hours) = unit rate. (how many cookies she can decorate and bake in an hour)

72 ÷ 2.5 = 28.8 cookies an hour

Now that we have this information, replace the 180 cookies in for the total number and use algebra to solve.

180 cookies ÷ x time = 28.8

Since 180 is a little more than 2 times 72, A would best fit since 3.75 is much closer to 2.5 than the other options. To check this, we can place 3.75 in for x in 180 ÷ x = 28.8.

180 ÷ 3.75 = 28.8.

So, this is your correct answer.

7 0
3 years ago
Given that f(x) = x^2 - 4x +1, find the value of m if f(m) = -3
iragen [17]

a. Answer:  m = 2

<u>Step-by-step explanation:</u>

f(x) = x² - 4x + 1

f(m) = m² - 4m + 1 = -3

         m² - 4m + 4 = 0

         (m - 2)(m - 2) = 0

               m = 2

***************************************************

b. Answer:  k = 2 and k = 5

<u>Step-by-step explanation:</u>

f(x) = x² - 7x + 14

f(k) = k² - 7k + 14 = 4

        k² - 7k + 10 = 0

        (k - 2)(k - 5) = 0

        k = 2   k = 5

3 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
pochemuha

Answer:

log base 6 of the cube root of 6 matches with 1/3

-3 log 5 of 25 matches with -6

log base 2 of the 4th root of 8 matches with 3/4

log base 3 of 1/81 matches with -4

5 0
3 years ago
Read 2 more answers
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