Use the Distributive Property to expand the following expressions.

a.) 2 ( y + 5x) = _______________

b.) 0.4 ( x + 2) = ______________

Answers

Answer 1

Answer:

Step-by-step explanation:

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

a) 2(y + 5x) = y*2  + 5x*2

                  = 2y + 10x

b) 0.4(x + 2) = x*0.4 + 2*0.4

                   = 0.4x + 0.8


Related Questions

Explain 5 different ways you use Math in your everyday life.

Answers

Answer:

Buying Groceries, paying for a house, maybe in your job, doing schoolwork of course, and counting money.

Step-by-step explanation:

Answer:

1. you use it to calculate time (managing your day)

2. you use it while driving (use in angles and degrees)

3. you use it while drawing (again, use in angles and degrees)

4. you use it while cooking

5. you use it while banking (financial help)

Step-by-step explanation:

hope this helps:) please mark brainliest

Please help I will give Brainliest

Answers

answer: it’s a black picture
The picture is black I can’t see anything

Guys I need help what is 6 divided by 398

Answers

Wel 6 divided by 398 is 0.015. Although I think you meant 398 divided by 6, that equals 66.3. Either way there’s the answer :)

Mr. Gardener invested $500.000. His annual interest was $40.000. What was the annual interest rate?

Answers

Answer:

8% per year

Step-by-step explanation:

............

Please answer question for my friend, Will mark brainliest.

A bottle of orange juice says it contains 200 milligrams of vitamin C, which is 200% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults?

Answers

Answer:

im guessing 100 milligrams of vitamin c

Step-by-step explanation:

Answer:

100 mg

Step-by-step explanation:

you could think of it like this: if you divide 200mg and 200% both by two you get 100mg for 100%

find the slope of the line ​

Answers

you would take delta y over delta x
(8-4)/(8-4) and it would be 1.

the slope is 1

Answer:

The slope of the line is: 1

Step-by-step explanation:

Use the equation

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Use the two sets of points given to you to slve the equation.

Assign the points their variables:

x1 y1 x2 y2

(4, 4) (8, 8)

Insert the numbers into the equation:

[tex] \frac{8 - 4}{8 - 4} [/tex]

Simplify:

[tex] \frac{4}{4} = 1[/tex]

Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and the resources available for mining in 1993 were 450 billion tons, how much longer would the world’s iron resources have lasted?

Answers

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x [tex]1.025^n[/tex], where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

[tex]C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx[/tex]

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

how do I solve -6(4 – t) = 121​

Answers

Answer:

T=145/5

Explanation:
-24+6t=121
Move constant to the right

6t=121+24
Calculate

6t=121
Divide both sides

t=145/6
use the distributive property -6(4-t) = ((-6x4)-(-6•t)) -6x4 is - 24 so (-24-(-6•t)) then -(-6•t) is 6t (the negatives cancel eachother so -24+6t =121 then you add 24 so 6t= 145 then divide 145/6 to get t by itself so you get t=24.16 OR t= 145/6

Given the equation 14 - 4x = 26

Answers

Answer:

-3

Step-by-step explanation:

can you mark me brainliest

Answer:

x=-3

Step-by-step explanation:

14-4x=26

-14       -14

-4x=12

/-4    /-4

x=-3

A population of 2000 fish increases at an annual rate of 7.5%. Write the model, then predict how
many fish will there be in 10 years?

Answers

Answer:

The model is [tex]P(t) = 2000(1.075)^{t}[/tex].

There will be 4122 fish in 10 years.

Step-by-step explanation:

Exponentially increasing population:

An exponentially increasing population can be represented by the following model:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.

A population of 2000 fish increases at an annual rate of 7.5%.

This means that [tex]P(0) = 2000, r = 0.075[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 2000(1+0.075)^t[/tex]

[tex]P(t) = 2000(1.075)^{t}[/tex]

This is the model.

How many fish will there be in 10 years?

This is P(10).

[tex]P(t) = 2000(1.075)^{t}[/tex]

[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]

There will be 4122 fish in 10 years.

Collectively, what are the interest costs and other fees for using a credit card called? A. balance B. credit line C. finance charge Reset Next​

Answers

The correct answer is C. Finance charge

Explanation:

A credit card is a service offered by financial entities such as banks that allows customers to buy goods and pay them later. This implies the customer does not immediately for goods but pays for these after a specific time. The use of this benefit implies related costs such as fees for the use of the credit card, and interest costs (money charged for borrowing the money from the bank), which are known as finance charge or the money charged for the benefit of using credit. According to this, the correct answer is C.

Maribel is packing boxes of canned goods for the food drive. Each box can hold 8 books. How many boxes are needed for 122 books?

answer is:16 books

Answers

Answer:

16 boxes will be needed for 122 books.

Step-by-step explanation:

Given that,

Each box can hold 8 books.

We need to find the number of boxes needed for 122 books. It can be calculated as follows :

[tex]\dfrac{122}{8}[/tex] = 15.25

It means 15 boxes can be filled and 16 boxes will be needed for 122 books.


Ms. Ortiz borrows $2.50 every day for a school week (5 days) to buy a bacon egg and cheese. How much does
she owe by the end of the week? (Use negative numbers to show how much she owes

It’s multiplying signed numbers

Answers

Answer: She will owe $12.50 at the end of the week, and her account balance will be -12.50 dollars.

Step-by-step explanation:

A school week is 5 days. If Ms. Ortiz borrows $2.50 every day, then we will have to multiply 2.50 by 5 to find how much Ms. Ortiz owes at the end of the week.

2.50 x 5 = 12.5, or $12.50.

Therefore, Ms. Ortiz owes $12.50 at the end of the week, and her account balance will be -12.50.

Find each angle measure to the nearest degree please help

Answers

9514 1404 393

Answer:

4°48°

Step-by-step explanation:

The inverse cosine function of your calculator is used to find the angle from the cosine value. (Be sure your calculator is set to 'degrees' mode.)

1) A = arccos(0.9976) ≈ 4°

2) U = arccos(0.6691) ≈ 48°

I NEED TO KNOW KNOW PLEASEEE

Answers

Answer:

2624

Step-by-step explanation:

30 * 64 = 1920

64 * 22 (1/2) = 704

1920 + 704 = 2624

i hope this helps, good luck :)

400_349 is same as 200_?

Answers

Feel like more info is probably needed but my best guess is 174.5 because 400 divide by 2 equal 200 and 349 divided by 2 equals 174.5

a train travels 16 miles in 20 minutes how many minutes would 12 miles be

Answers

Answer:Then 16x = 240, and x = 240/16 = 15. It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

16 miles     =  12 miles

20 mins.        how many mins?

16    =   12       cross multiply       16? = 240   divide by 16     240 divided by 16 = 15 miles

20          ?                                                                                because 15 x 16 = 240

Answer:

It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

Write and solve an equation of ratios:

16 miles     20 min

-----------  = -----------

12 miles          x

Then 16x = 240, and x = 240/16 = 15.  

What two numbers have a sum of 142 and a difference of 16?​

Answers

Answer:

x=79,y=63 I have solve it in above picture

Hello I need help
100ײ×100x²

Answers

Answer:

Today: Friday, 12th Feb 2021

10.11 PM

_______________________

[tex] \rm 100 {x}^{2} \times 100{x}^{2} [/tex]

[tex] \rm = (100 \times 100)^{2 + 2} [/tex]

[tex] {\boxed{\boxed{ \rm = 10000x^{4} }}}[/tex]

-

[tex]{\boxed{\boxed{ \rm \pink{i} \: \blue{hope} \: \orange{this} \: \pink{help} \: \blue{you} \: : )}}}[/tex]

Answer:

100ײ×100x²=100×100×x²×x²=10000x⁴ is your answer

Self-select sampling is a sample in which members choose to be in the survey.
True
False

Answers

Answer:

true

Step-by-step explanation:

Estimate the sum or difference.
7/8-1/5

Answers

Answer:27/40

Step-by-step explanation:

7/8-1/5  

35/40-8/40=27/40

Evaluate f(x)=6x2 – 12 when x =-3.

Answers

The answer is negative-48

(-2+6y+3x)(-3) distributive property to remove the parentheses

Answers

Answer:

6-18y-9x

Step-by-step explanation:

Using the textbook example of 420 California school districts and the regression of testscores on the student-teacher ratio, you find that the standard error on the slope coefficient is 0.51 when using the heteroskedasticity robust formula, while it is 0.48 when employing the homoskedasticity only formula. When calculating the t-statistic, the recommended procedure is to A. use the homoskedasticity only formula because the t-statistic becomes larger B. first test for homoskedasticity of the errors and then make a decision C. use the heteroskedasticity robust formula D. make a decision depending on how much different the estimate of the slope is under the two procedures

Answers

Answer:

The answer is "Option C".

Step-by-step explanation:

Robust standard errors or generic White-Huber mistakes depending on this procedure. This is also recognized as the Variance Sandwich Stimator because of the appearance of the formula. Therefore, which is under homoskedasticity, robust error terms were appropriate, in which the standard deviations of its predictor variables are non-constant and are tracked across different values or linked to pre-time periods of an exponential function.

Kevin earns $12.00 for every 5 story problems he writes. How much would Kevin get for writing 12 problems?

Answers

Answer: $28.80

Step-by-step explanation:

We can start by finding the unit rate. How much money does Kevin earn from writing 1 story problem?

We can find how much Kevin earns from writing 1 story by dividing 12 by 5.

12 ÷ 5 = 2.4.

Therefore, Kevin earns $2.40 for every story he writes.

Now we have to find how much Kevin earns from writing 12 story problems. If Kevin earns $2.40 for every story he writes, then we should mutliply that by 12 to find how much money Kevin earns for writing 12 problems.

2.40 x 12 = 28.8.

In conclusion, Kevin earns $28.80 dollars for writing 12 problems.

is 15.09 less than 12.63

Answers

Answer: No

15.09 is greater than 12.63

Evaluate the expression

Answers

Answer:

32

Step-by-step explanation:

4 to the third power is 64

(7-3) = 4

*2

64/4*2 = 32

Hope this helps

Amelia took a total of 18 quizzes over the course of 2 weeks. After attending 5 weeks of school this quarter,how many quizzes will Amelia have taken a total? Solve using unit rates

Answers

Answer:

45 quizzes

Step-by-step explanation:

A penguin starts at 15 meters above sea level and ends at 7 meters below sea level. What is the change in elevation?

Answers

Answer:

22 meters

Step-by-step explanation:

If the penguin goes from 15 meters above sea level to sea level (0 meters), they traveled 15 meters in elevation.

Then they traveled another 7 meters when going 7 meters below sea level.

15 + 7 = 22

Hope this helps :)

17 > 4x
• A) X= 4
- B) x = 5
• C) x = 6
• D)x=7

Answers

Answer:

La D

Step-by-step explanation:

porque la variable de divide

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