Lesson 7 Extra Practice Equivalent Expressions Simplify each expression. 1. 5x + 3x 8x 2. 2x + x 3x 3. 6x + 8x 14x 4. 9x + 3x 12x 5. 7x + 4x 11x 6. 10x + x 11x 7. 3x + 2 + 4x 7x + 2 8. 15x + 3 + x 16x + 3 9. 2x + 5 + 6x 8x + 5 10. 7x + 2x + 4 9x + 42 11. 18x + 3x + 9 21x + 9 12. 6x + x + 8 7x + 8 Factor each expression. 13. 21x + 15y 3(7x + 5y) 14. 2x + 14y 2(x + 7y) 15. 15x + 10y 5(3x + 2y) 16. 12x + 18y 6(2x + 3y) 17. 10x + 30y 10(x + 3y) 18. 6x + 14y 2(3x + 7y) 19. 8x + 16y 8(x + 2y) 20. 45x + 27y 9(5x + 3y) 21. 54x + 48y

Answers

Answer 1

Answer:

uhh which 1

Step-by-step explanation:

Answer 2

The expressions are simplified and factored in as below.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The expressions are simplified as,

1.

5x + 3x

= 8x

2.

2x + x

= 3x

3.

6x + 8x

= 14x

4.

9x + 3x

= 12x

5.

7x + 4x

= 11x

6.

10x + x

= 11x

7.

3x + 2 + 4x

= 7x + 2

8.

15x + 3 + x

= 16x + 3

9.

2x + 5 + 6x

= 8x + 5

10.

7x + 2x + 4

= 9x + 42

11.

18x + 3x + 9

= 21x + 9

12.

6x + x + 8

= 7x + 8

13.

21x + 15y

= 3(7x + 5y)

14.

2x + 14y

= 2(x + 7y)

15.

15x + 10y

= 5(3x + 2y)

16.

12x + 18y

= 6(2x + 3y)

17.

10x + 30y

= 10(x + 3y)

18.

6x + 14y

= 2(3x + 7y)

19.

8x + 16y

=  8(x + 2y)

20.

45x + 27y

= 9(5x + 3y)

21.

54x + 48y

= 3 (18x + 16y)

Thus,

The expressions are simplified and factored in as above.

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Related Questions

find the l distance between (-13,3.5) and (17,2)

Answers

the answer to the problem is- 30, 1.5

Marcus daims that in the expression 3x + 3y, the terms 3x and 3y are like terms because both are variable terms and both have the same coefficient. Is Marcus correct? Explain​

Answers

Answer:

Step-by-step explanation:

3x and 3y are not "like terms," despite having the same coefficient.

Like terms have the same variable. For example, 3x and 2x are like terms, so

3x+2x = 5x

44. Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm). Because of variability in the manufacturing process, the diameters of the ball bearings are approximately normally distributed, with a standard deviation of 0.02 mm. (a) What proportion of ball bearings has a diameter more than 5.03 mm

Answers

Answer:

0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm).

This means that [tex]\mu = 5[/tex]

With a standard deviation of 0.02 mm.

This means that [tex]\sigma = 0.02[/tex]

(a) What proportion of ball bearings has a diameter more than 5.03 mm

This is 1 subtracted by the pvalue of Z when X = 5.03. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5.03 - 5}{0.02}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm

help please I will appreciate it.​

Answers

it’s 9x6 the area is 54!

Answer:

The area is 6[tex]\sqrt{45}[/tex]

Step-by-step explanation:

Using the Pythagorean Theorem, you'll get that half the base is [tex]\sqrt{45}[/tex], so the entire base is [tex]2\sqrt{45}[/tex]. Multiply that by the height and divide by two, you'll get that the area of this triangle is 6

13.6z - 11 = -1.48.
can u please show the work for it

Answers

Step-by-step explanation:

13.6z - 11 = -1.48.

13.6z=-1.48+11

z=9.52/13.6=0.7

laShea would like to invest her $100 in birthday money. Which option will give her the most money at the end of the investment period?
1 year at 8 percent
1.5 years at 7 percent
2 years at 6.5 percent
3 years at 4 percent ​

Answers

Third choice because 1,5 years at 7 percent would of been kore

Answer:

C. 2 years at 6.5 percent

Step-by-step explanation:

I took the quiz and got it right Edg.2021

A tank containing 1140.8 gallons can be emptied in 92 minutes. How many gallons is that per minute?

Answers

Answer:

Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will  Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.

Step-by-step explanation:

hope it helps

while shopping, betting spent five times as much as meg. if they spent a total of $108, how much did each person spend?

Answers

Answer:

meg spen $18 and betting spent $90

Step-by-step explanation:

Which inequality is NOT true?
A 65.7 < 67.54
B 4.003 > 4.03
C 26.4 < 26.48
D 0.91 > 0.097

Answers

Answer:

b

Step-by-step explanation:

it's b and mark me brainlist plaese

Graph a solution of x - 6 > 3

Answers

Answer (9,0)

Hope this helped

What times what equals -40 and add to make -3

Answers

Answer:

-8 and 5

Step-by-step explanation:

-8 × 5 = -40

-8 + 5 = -3

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

x=20

Step-by-step explanation:

hope this helps

Answer:

X=20

Step-by-step explanation:

enjoy! (Hope u got it right)

An advertising agency notices that approximately 2 in 50 potential buyers of a product sees a given magazine ad, and 1 in 7 sees a corresponding ad on television. One in 100 sees both. One in 5 actually purchases the product after seeing the ad, 1 in 10 without seeing it. What is the probability that a randomly selected potential customer will purchase the product

Answers

Answer:

the probability that a randomly selected potential customer will purchase the product is 0.11728

Step-by-step explanation:

Given the data in the question;

by hypothesis, let the event be given as;

M = buyers sees a given magazine ad of the product

T = buyers sees a given television ad of the product

[tex]P_{A}[/tex] = buyer purchases the product after seeing the ad

[tex]P_{A"}[/tex] = buyer purchase the product without seeing the ad

from the information given in the question;

P(M) = (2/50 ) = 0.04,  P(T) = ( 1/7) = 0.1428,  P(M∩T) = (1/100) = 0.01,

P([tex]P_{A}[/tex]) = (1/5) = 0.2, p( [tex]P_{A"}[/tex]  ) = (1/10) = 0.1

now, the probability that the buyer sees the ad of the product will be;

P( M ∪ T ) = P( M) + P(T) - p( M ∩  T)

P( M ∪ T ) = 0.04 + 0.1428 - 0.01

P( M ∪ T ) = 0.1728

The probability that the buyer does not see the ad of the product will be;

P( M ∪ T )' = 1 - P( M ∪ T )

= 1 - 0.1728

= 0.8272

Now, the probability that a randomly selected potential customer will purchase the product will be;

P(P) = P([tex]P_{A}[/tex]) P( M ∪ T ) + p( [tex]P_{A"}[/tex]  )P( M ∪ T )'

P(P) = (0.2)(0.1728) + (0.1)(0.8272)

= 0.03456 + 0.08272

P(P) = 0.11728

Therefore, the probability that a randomly selected potential customer will purchase the product is 0.11728

Jay's allowance is reduced $1.25 every time he forgets to clean his room. If he forgets to clean his room 7 times this month, how much is Jay's allowance reduced?

Answers

Answer:

$8.75

Step-by-step explanation:

1.25 times 7 equals 8.75 so it is reduced by 8.75

Here are eight angles. Which of these angles are acute angles?
Enter your answer as a list of letters, separated by commas. For example, if you believe angles A, B, and F are acute, type A, B, F.
Please help me!

Answers

Answer:a and b

Step-by-step explanation:an acute angle in small, an acute angle will always be smaller then C

How many molecules are in 35 gram sample of H2O

Answers

Answer:

The answer is 12.044*10^23 molecules of H2O

g(x)=w^2+7w-7 and f(x)=4w-8 and (f+g)(5)=

Answers

The value of (f + g)(5) is 65

Function

Function relates input to output . Therefore,

g(x) = w² + 7w - 7

f(x) = 4w - 8

Therefore,

(f + g) = w² + 7w - 7 + (4w - 8)

(f + g) = w² + 7w - 7 + 4w - 8

(f + g) = w² + 11w - 15

Finally,

(f + g)(5) = 5² + 11(5) - 15

(f + g)(5) = 25 + 55 - 15

(f + g)(5) = 80 - 15

(f + g)(5) = 65

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Taylor opened a savings account with $425. After 2 years, the total interest earned was $10.20. What was the annual interest rate?

Answers

Answer:

R = 1.2%

Step-by-step explanation:

Given the following data;

Principal = 425

Time = 2

Simple interest = 10.20

To find the annual interest rate;

Mathematically, simple interest is calculated using this formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

S.I is simple interest. P is the principal. R is the interest rate. T is the time.

Substituting into the equation, we have;

[tex] 10.20 = \frac {425*R*2}{100} [/tex]

[tex] 10.20 = \frac {850R}{100} [/tex]

Cross-multiplying, we have;

[tex] 1020 = 850R [/tex]

[tex] R = \frac {1020}{850} [/tex]

R = 1.2%

Therefore, the annual interest rate is 1.2 percent.

What is the complement of a 89° angle?

Answers

Answer:

the supplement of 89° is the angle that when added to 89° forms a straight angle (180° )

Step-by-step explanation:

hope this helps have a good rest of your night/day :) ❤

The complementary angle of 89° is 1°. Complementary angles are angles pairs that if are added will equal 90°.

how many times greater is 6x10⁹ than 3x10²​

Answers

There this app called Photomath and you scan you work sheet one question at a time and it tells you the answers and the steps
It is 2x10^7 times greater.

paki answeran naman po​

Answers

Answer:

For the 1st one the answer is 2/3 x 1/2 = 0.333 repeating and the 2nd one is 3/5 x 1/3 = 0.2

Step-by-step explanation:

The amount of boxes in total is the denominator and the amount of boxes shaded is the numerator, so if you put those to together it creates a fraction. So multiply the first fraction and the second fraction and you get your answer.

Find the missing length indicated. Leave your answer in simplest radical form.

Answers

Answer:

18[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The hypotenuse of the 45-45-90 triangle is [tex]\sqrt{2}(9\sqrt{2} ) = 18[/tex]

The hypotenuse of the 45-45-90 triangle is also the shorter leg of the

30-60-90 triangle

The longer leg = x = shorter leg times [tex]\sqrt{3\\}[/tex] = 18[tex]\sqrt{3\\}[/tex]

Solve for d in terms of r.
r=d/2
d=

Answers

Answer:

Step-by-step explanation:

r=d÷2

Multiply both sides by 2

d=2r

Please mark brainliest.

d = 2r

What is simplification?

Simplification means to make any equation simple or any large equations to a simple form, simplification can be done with mathematical formula and done for all operators in mathematics.

Given r = d/2

when we transfer digits to other sides of equal they change their sign,

plus tends to minus or vice versa,

and multiply tends to divide or vice versa.

so d = 2r

Hence the solution for d is 2r

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Please help!!!!!! AAA

Answers

First answer is the correct answer

Answer:

D is correct

Step-by-step explanation:

1/12^3

The consecutive monthly flows into and out a reservoir in a given year are the following, in relative units: Month J F M A M J J A S O N D Inflow 3 4 5 3 4 10 28 17 7 6 3 2 Outflow 7 8 7 11 6 8 21 12 5 4 5 9 The reservoir contains 50 units at the beginning of the year. How many units of water are in the reservoir at the middle of August

Answers

Answer:

41.5 units

Step-by-step explanation:

Given the data :

Month : J F M A M J J A S O N D

Inflow : 3 4 5 3 4 10 28 17 7 6 3 2

Outflow : 7 8 7 11 6 8 21 12 5 4 5 9

The unit of water in reservoir at the middle of August :

Initial unit = Unit of water at the start of the year = 50

Middle of August :

Inflow = 17 /2 = 8.5

Outflow = 12 /2 = 6

Unit of water at the middle of August :

Initial unit + Inflow - Outflow

Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5

Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74

50 + 65.5 - 74 = 41.5

Find the value of x in the triangle shown below

Answers

Answer:

Step-by-step explanation:

x=[tex]\sqrt{12^{2} +16^{2} }[/tex]

x=20

Graph the image of square TUVW after the following sequence of transformations:
Rotation 180 counterclockwise around the origin
Reflection across the y-axis

Please help! I don’t understand!

Answers

Move the shape down by one quadrant and flip it so where “U” was at, “W” is in its place and Vice versa

Exit Ticket 1/12 (A.2E, A.ZF)
What is the slope of a line perpendicular to a line with slope -6/5?

Answers

Answer:

5/6

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

-6/5

6/5

5/6,,

Find a. Round to the nearest tenth
12 cm
22 cm
31.8°
75°
a
a = [?] cm
Law of Sines: sin A
sin C
sin B
b
=
a
С
Enter

Answers

Answer:

21.8cm is the required answer

Step-by-step explanation:

The measurement of the third side of the triangle is 22 cm

What is sine law?

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,

Finding angle A

180°-(75°+31.8°) = 73.2°

Now, using the sine law,

Sin 73.2° / a = Sin 75° / 22

a = 21.80

a ≈ 22

Hence, the measurement of the third side of the triangle is 22 cm

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0.75 times what equals 3

What is the answer

Answers

4 bc .75 x4 is 3 the answer is 4

Answer:

4

3/.75=4

divide 3 by point seven five

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