1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lara31 [8.8K]
3 years ago
14

Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.

Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0
<span>Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.

1) 8(x + 7) = 8x + 56

2) 5(x - 10) = 5x - 50

3) 6(11 + x) = 66 + 6x

</span><span>Factor each expression. (Pull a common factor from each number) 

COMPLETED EXAMPLE: 27 + 12 = 3(9 + 4) → (3 is the shared factor for 27 and 12)

4) 12 + 36 = 12 (1 + 3)

5) 16 + 20 = 4 (4 + 5)

Solve each expression using the distributive property.

6) 4 x 82 = 4 (80 + 2) = 320 + 8 = 328 


7) 12 x 44 = 12 (40 + 4)  = 480 + 48 = 528

</span><span>8) Mrs. S bought 9 folders and 9 notebooks. The cost of each folder was $2.50. Each notebook cost $4. First, write an expression for the problem then find the total cost.

Expression = 9f + 9n = 9($2.50) + 9($4)

Total cost =</span>9($2.50) + 9($4) = $22.5 + $36 = $58.5
You might be interested in
A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life
alisha [4.7K]

Answer:

a)

The null hypothesis is H_0: \mu \leq 10

The alternative hypothesis is H_1: \mu > 10

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

H_0: \mu \leq 10

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

H_1: \mu > 10

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

10 is tested at the null hypothesis:

This means that \mu = 10

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that n = 45, X = 10.5, s = 1.8

Then

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}

t = 1.86

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0
2 years ago
Geometry: The base of a triangle is 12 in. Its height is (x + 6) in. Its area is no more
larisa [96]

Answer:

The area of a triangle= bh/2. Substitute

12(x+6)/2 ≤ 72

12(1/2x+3) ≤ 72

6x+36 ≤ 72

6x ≤ 72-36

6x ≤ 36 Divide both sides by 6

x ≤ 6

x|x ≤6 (read: x, where x is equal or smaller than 6)

Step-by-step explanation:

3 0
2 years ago
2. What type of angle is ACE?<br><br> right<br> acute<br> obtuse<br> straight
cestrela7 [59]
It is a straight angle because it is on a straight line.

Hope this helps :)
3 0
3 years ago
Read 2 more answers
The number of cars at a dealership dropped from 64 to 48 after a weekend sale.
Mariana [72]

Answer:

25%

Step-by-step explanation:

{(whole- part)/whole}*100%

(64 -48)/64 *100%= 25%

8 0
3 years ago
Read 2 more answers
Convert 3 18/25 to a decimal using long division.
zaharov [31]
Change into improper fraction 
take 3 x 25+18 divided by 25=93\25
93\25=3.72
3 0
3 years ago
Other questions:
  • Help plz ☝️☝️☝️☝️☝️☝️☝️
    5·1 answer
  • Which are irrational square root of 100, square root of 17, square root of 47, square root of 25
    6·1 answer
  • My grandson came home with math homework. No instructions on how to do. Question: What is the difference between 10-5=5
    13·1 answer
  • Composite numbers have
    10·2 answers
  • A construction crew is lengthening a road. Let L be the total length of the road (in miles). Let D be the number of days the cre
    11·1 answer
  • Determine the following product: 2a(4a^3-3a-1)
    8·1 answer
  • Rearrange b = c + xd to make x the subject of the formula.​
    9·1 answer
  • PLS ANSWER
    14·2 answers
  • the following two pentagons are similar. find the missing side length represented by x. please help quickly!
    7·1 answer
  • consider the word unusual. how many unique subsets of 5 letters (of the 7) exist? how many different strings could be made from
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!