Simplify using properties of operations and then factor the expressions using the GCF. (2g + 2) - (-4g - 7)

Answers

Answer 1

Answer:

3(2g + 3)

Step-by-step explanation:

We start out with the expression (2g + 2) - (-4g - 7).

Firstly, let's distribute the negative:

(2g + 2) - (-4g - 7)

2g + 2 + 4g + 7

Now, combine like terms:

2g + 4g + 7 + 2

6g + 9

The GCF stands for "Greatest Common Factor." In this case, we have to find the GCF between 6 and 9. What is the GCF of 6 and 9? It would be 3. So,

6g + 9

3(2g + 3)


Related Questions

please help!!!! find the value of x

Answers

Answer:

The answer is x+2=7,

Step-by-step explanation:

because x is a variable

find the value of given expression

[tex] \sqrt{369 \times 369} [/tex]

Answers

Answer:

√{369×369}=√369²=369 is your answer

Answer:

your answer will be 369

Step-by-step explanation:

......

could someone pls help me with this math problem?

Answers

The person up top is right that should be correct

Use distributive property. 4 x 63 = ??

Answers

Answer:

(4) * (63)

252

(* ̄3 ̄)╭

The shape of a patio is triangle without hight of 8 ft and base of 17 ft what is the cost of out door carpeting to cover the patio of the carpeting costs 6.50 per ft

Answers

Answer:

$442

Step-by-step explanation:

Given :

Height of patio, h = 8ft

Base of patio = 17 ft

Cost of carpeting = $6.50 per ft²

Area of triangular patio :

Area = 1/2 * base * height

Area = 0.5 * 17 * 8

Area of patio = 4 * 17

Area of patio = 68 ft²

Cost of carpeting :

Area of patio * contains st per ft²

68 * 6.50

= $442

Z+k, when z=1 and k = 7

Answers

Answer:

8

Step-by-step explanation:

Replace the variables with numbers.

1+7=8

Answer:

8

Step-by-step explanation:

Since z equals 1 and k equals 7, we do 1 + 7 which is equal to 8. Therefore, the answer would be 8.

HELP NO WRONG ANSWER PLS

Answers

it's π 11²-π 3²

π(121-9)

3.14(112)

=351.68cm²

round off yourself (╥﹏╥)

The answer is : 351.69cm^2

PLEASE HELP ASAP PLEASE WILL GIVE BEST RATE AND BRAINLEST PLEASE​

Answers

Answer:

I think it's 145.225 sq in.

Step-by-step explanation:

2.5 x 2 x 3.14 = 15.7

15.7 x 9.25 = 145.225

Answer:

its the second one

Step-by-step explanation:

2.5 x 2 x 3.14 = 15.7 because 3.14 is pi

and then do

15.7 x 9.25 = 145.225 so there you go

A geometric sequence is given by the recursive rule $a_1=\frac{2}{3},\ a_n=3a_{n-1}$ . Give an explicit rule for the nth term of the sequence $b_1,\ b_2,\ b_3,\ \dots\ ,$ given that $b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots$ .

Answers

Answer:

[tex]b_n = \frac{2}{27} (9^n)[/tex]

Step-by-step explanation:

Given

[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]

Required

An explicit rule for [tex]b_1,\ b_2,\ b_3,\ \dots[/tex]

Where [tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]

We have:

[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]

Calculate a2

[tex]a_2 = 3a_{2-1}[/tex]

[tex]a_2 = 3a_1[/tex]

[tex]a_2 = 3 * \frac{2}{3}[/tex]

[tex]a_2 = 2[/tex]

Calculate a3

[tex]a_3 = 3a_{3-1}[/tex]

[tex]a_3 = 3a_2[/tex]

[tex]a_3 = 3 *2[/tex]

[tex]a_3 = 6[/tex]

Calculate a4

[tex]a_4 = 3a_{4-1}[/tex]

[tex]a_4 = 3a_3[/tex]

[tex]a_4 = 3*6[/tex]

[tex]a_4 = 18[/tex]

Calculate a5

[tex]a_5 = 3a_{5-1}[/tex]

[tex]a_5 = 3a_4[/tex]

[tex]a_5 = 3*18[/tex]

[tex]a_5 = 54[/tex]

So:

[tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]

[tex]a_1=\frac{2}{3}[/tex]     [tex]a_3 = 6[/tex]     [tex]a_5 = 54[/tex]

The above sequence form a geometric sequence.

Calculate common ratio (r)

[tex]r = \frac{b_3}{b_2}[/tex]

[tex]r = \frac{a_5}{a_3}[/tex]

[tex]r = \frac{54}{6}[/tex]

[tex]r = 9[/tex]

So, the explicit formula is:

[tex]b_n = b_1 * r^{n-1[/tex]

[tex]b_1=a_1[/tex], so:

[tex]b_n = a_1 * r^{n-1[/tex]

[tex]a_1=\frac{2}{3}[/tex], so:

[tex]b_n = \frac{2}{3} * 9^{n-1[/tex]

Split:

[tex]b_n = \frac{2}{3} * \frac{9^n}{9}[/tex]

[tex]b_n = \frac{2}{3*9} (9^n)[/tex]

[tex]b_n = \frac{2}{27} (9^n)[/tex]

The explicit rule is: [tex]b_n = \frac{2}{27} (9^n)[/tex]

Natalie lost her job through no fault of her own. She had worked there for two years and the last year she earned $27,500. She has applied for unemployment insurance. What will her weekly benefit be?

Answers

Answer:

it should be around $527

Step-by-step explanation:

Answer:

550

Step-by-step explanation:

426 per week up to 26 weeks

The store brought a pair of shoes for 40$ and sold it for 50$. What percentage was the markup?

Answers

Answer:

20%

Step-by-step explanation:

You would do 40/50 and then 40/50 is also 80/100. Then you'd take the remainder and that'd be the mark up price.

The answer here is going to be 20%

4/6-3/8 zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

The answer is 7/24 ~hope this helps~

btw, sick pic  B-)

Step-by-step explanation:

Two trains on opposite tracks leave the same station at the same time. One train travels at an average speed of 80 kilometres per hour and the other travels at an average speed of 70 kilometres per hour. How long after they leave the station will they be 50 km apart?

Answers

Answer:

1/3 hr or 20 min.

Step-by-step explanation:

Call the trains A and B

Remember d = rt

Distance train A travels is 80t

Distance train B travels is 70t

Now, 80t + 70t = 50

              150t = 50

                    t = 50/150 = 1/3 hr or 20 min.

Answer: 20 minutes( 0.3333 hours) after they leave the station will they be 50 km apart, if the Two trains on opposite tracks leave the same station at the same time.

Step-by-step explanation:
One train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr.

Work out the value of x.

Answers

2x+3x=180
5x=180
x=180/5
x=36

The sales tax rate in Connecticut is 6.35%. Megan wants to buy a jacket with a $45.00 price tag. She has a gift card to the store she wants to use. What amount needs to be on the gift card for Megan to be able to buy the jacket using only the gift card?

Answers

Answer:

$47.86

Step-by-step explanation:

A tax is a compulsory amount levied by the government or an agency of the government on goods and services

Taxes increases the price of goods and services. Thus, the amount paid would increase by the tax rate

Amount that needs to be on the gift card = amount of tax + price of the jacket

Price of the jacket = $45

Amount of tax = percentage tax rate x price of the jacket

0.0635 x $45 = $2.86

$45 + $2.86 = $47.86

Which triangle is similar to triangle T

Answers

Answer:

2nd one from the left.

Step-by-step explanation:

it has the same angle measures.

What is the value of 3^2+4(2+4)x6 divided by 8+4

Answers

Answer:

its 31

Step-by-step explanation:

In the triangle CDE, point Y is the midpoint of segment CD and point X is the midpoint of segment DE,
Solve for x

A, 8
B. 6
C. 10
D-10

Answers

Answer:

Option A. 8 will be your answer

Step-by-step explanation:

hope it helps you

have a great day!!!

Blank minus 1/10 equals 1/2​

Answers

1/2 = 5/10
5/10+1/10 = 6/10
6/10 = 3/5
3/5

Please can someone help I don’t understand the question if it’s right I’ll give more plsssssesssssssssssddsd

Answers

Answer:

x = 33°

Step-by-step explanation:

From the figure attached,

FB and FC are two secants intersecting each other at point F outside the circle.

Measure of angles between the secants measures half of the difference between the intercepted arcs.

x° = [tex]\frac{1}{2}(\text{arc BC}-\text{arc DE})[/tex]

x° = [tex]\frac{1}{2}(108-42)[/tex]

x = 33°

PLLLEASEEE HELLPPP I WILL GIVE BRAINLIEST!!!!

Answers

Answer:

Step-by-step explanation:

to make it quick

2*110 = arc FI

220° = arc FI

arc LI = 97°

arc FL = x

360 = 220 + 97 + x

43 = X

arc FL = 43°

:)

11. The population of 1,000 unicorns is decreasing by 8% every year.
What is the independent and dependent variables of this situation?
A. Independent - Population; Dependent - years
B. Independent - Years; Dependent - population

Answers

A is the answer because year is X AND population is Y because for the population to go down or up time has to pass. Population is dependent on years.
A is the correct answer

Natalie is playing the Integer Game and only shows you the four cards shown below. She tells you that the rest of her cards have the same values on them and match one of these four cards.

Answers

Missing part of question

(a) If all matching cards will increase her score by 18, what are the matching cards

(b) If all matching cards will decrease her score by 12, what are the matching cards

See attachment for cards

Answer:

(a) 9 card number 2 or 6 card number 3

(b) 6 card number -6

Step-by-step explanation:

Given

The number on the cards are: 2, 3, -6 and 4

Solving (a): An increment of 18

From the card numbers attached, there are 3 positive numbers and 1 negative number

If any of the card numbers is to increase her score, then the card number must be positive. So, we have: card numbers 2, 3 and 4 that fit in this category.

Next, for a card number to give an increment of 18; the card number must be a factor of 18.

So, we have:

[tex]\frac{18}{2} = 9[/tex]

[tex]\frac{18}{3} = 6[/tex]

[tex]\frac{18}{4} = 4.5[/tex]

Only 2 and 3 are factors of 18.

So, Natalie cards are: 9 card number 2 or 6 card number 3

Solving (b): A decrement of 12

If any of the card numbers is to decrease her score, then the card number must be negative. So, we have: card -6 that fit in this category.

Next, is to check if -12 is divisible by -6 (-12 means decrement of 12)

So, we have:

[tex]\frac{-12}{-6} = 2[/tex]

So, Natalie cards are: 6 card number -6

A random sample of 50 students from a high school with 900 students is surveyed. Each student is asked what science class he or she is taking and all students at the school take science. The table shows the responses.

Answers

Answer: 50 and 900 is correct

Step-by-step explanation:

50 and or 100

What is the perimeter of a rectangle with a length of 6cm and a width of
5cm?

Answers

Answer:

perimeter = 22 cm

Step-by-step explanation:

perimeter = 2(L + W) = 2(6 + 5) = 22 cm

Answer:

22cm

Step-by-step explanation:

P=2(l+b)

so length (l)=6cm

width (b)=5 cm

Fill in the missing value for the coordinate pair that lies on the graph of the function
y = 2^x
(5,___)

Answers

plug in the value x:

y=2^x
y=2^5
y=32

the missing value is 32

AYUDAAAAAAAAAAAAAAAAAAAAA
si la medida de un angulo es tres veces la medida de su suplemento cual es la medida del angulo

Answers

Answer:

El ángulo lo representaremos por A

Su suplemento es 180-A

A=3(180-A)

A=540-3A

3A+A=540

4A=540

A=540/4

A=135°

Step-by-step explanation:

135=3(180-135)

135=3(45)

135=135

The measure of the angle is 135 degrees when the measure of an angle is three times the measure of its supplement.

Let's denote the measure of the angle as x.

The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. So, the measure of the supplement of the angle is 180 - x.

According to the given information, the measure of the angle is three times the measure of its supplement. Mathematically, we can express this as:

x = 3( 180 - x )

Now, let's solve this equation to find the measure of the angle:

x = 3( 180 - x )

x = 540 - 3x

4x = 540

x = 540 / 4

x = 135

Therefore, the measure of the angle is 135 degrees.

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The question is in Spanish question in English is :

If the measure of an angle is three times the measure of its supplement, what is the measure of the angle?

A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day.
N(t)=50t/t+4
E(t)= 70t/t+3

Which function describes the difference of the number of components assembled per day by the experienced and new employees?
A. D(t)= 10t(2t+13)/t+3
B. D(t)= 10t(2t+13)/ (t+4)(t+3)
C. D(t)= 10t(2t-13)/t+4
D. D(t)=10t(2t-13)/ (t+4)(t+3)

Answers

The difference of the number of components assembled per day by the experienced and new Employees is : D(t)= 10t(2t+13)/ (t+4)(t+3)

Here we perform subtraction :

D(t) = N(t) - E(t)

N(t) = 50t / (t+4)

E(t) = 70t / (t+3)

The difference :

D(t) = E(t) - N(t)

D(t) = [70t / (t+3)] - [50t / (t+4)]

The L.C.M of (t+3) and (t+4) is (t+3)(t+4)

[70t(t+4)] - [50t(t+3)] / (t+3)(t+4)

70t² + 280t - [50t² + 150t] / (t+3)(t+4)

[70t² + 280t - 50t² - 150t] / (t+3)(t+4)

20t² + 130t / (t+3)(t+4)

D(t) = 10t(2t + 13) / (t+3)(t+4)

The difference of the number of components assembled is : D(t)= 10t(2t+13)/ (t+4)(t+3)

Learn more : https://brainly.com/question/1166214

Answer:b

Step-by-step explanation:

plato

Find the approximate radius of a circle with a circumference of 198 centimeters. Use 3.14
for it Round to the nearest hundredth.

A. 63.06
B. 31.53
C. 621.72
D. 310.86

Answers

The radius of the circle is around 31.65 cm. Choice B

The formula C = 2πr , where C is the circle's circumference and r is its radius, yields the circumference of a circle. In this illustration, the circle's circumference is given as 198 cm

C = 2πr

The formula to calculate the radius can be revised as follows:

r = C / (2π)

r = 198 / (2 * 3.14)

To perform the calculation, divide the numbers:

r ≈ 198 / 6.28

r ≈ 31.65

The circle's estimated radius is 31.65 centimetres as a result.

So, rounded to the closest hundredth, the estimated radius of the circle with a circumference of 198 centimetres is 31.65 centimetres.

The closest option to 31.65 in the list of possible answers is B. 31.53. It's crucial to keep in mind that choosing 3.14 as an approximation for involves some mistake and that the precise radius number might change slightly.

When rounded to the next hundredth, the radius is 31.65. This result can be compared to the other solutions to show that:

B. 31.53.

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A cast member is selling balloons on Main Street. He has 8
princess balloons, 5 blue Mickey balloons, and 7 red Mickey
balloons. He sells one balloon, and then another (no replacing).
Find the probability of selling one blue balloon followed by
another blue balloon and show the equation used.

Answers

Answer:

4/76 or simplified as 1/19

Step-by-step explanation:

5/20 is for the probability of the first balloon

4/19 is for the probability of the second balloon

5/20 can be simplified to 1/4 so 1/4 x 4/19 = 4/76

4/76 can also be simplified to 1/19

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