Use GCF and the distributive property to write equivalent
expressions.
A) 6x + 9y
B)3c +11c

Answers

Answer 1

Answer:

Step-by-step explanation:

Greatest common factor of 6x and 9y is 3.

6x + 9y = 3(2x + 3y)

:::::

Greatest common factor of 3c and 11c is c.

3c + 11c = (3+11)c


Related Questions

Box A contained 40 paperclips. Box B contained 23 paperclips. After Sally took an equal number of paperclips from each box, Box A then contained twice as many paperclips as Box B. How many paperclips did Sally take from each box?

Answers

Answer:

Step-by-step explanation:

Number of clips in box A = 40

Number of clips in box B = 23

If Sally took out 6 clips from each box

Remaining clips in box A = 40 - 6 = 34 which is twice of 17

Remaining clips in box B = 23 - 6 = 17

Answer:

Sally took 6 paperclips from each box

Step-by-step explanation:

Paper clips in Box A = 40

Paper clips in Box B  = 23

Let the equal number paperclips removed from each box = x

Number of clips in box A after taking 'x' clips = 40 -x

Number of clips in box B after taking 'x' clips = 23 -x

40 - x = 2*(23 -x)

40 - x = 2*23 - 2*x

40 -x = 46 - 2x  {Add 2x to both sides}

40 - x + 2x = 46          {Combine like terms}

40 + x = 46         {Subtract 40 form both sides }

x = 46 - 40

x = 6

Sally took 6 paperclips from each box

solve the square root equation
5-2√x=11

Answers

Answer:

There is no value to make x true in this equation.

This is a no-solution problem.

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

ABC is translated right 5 units and down 5 units

Step-by-step explanation:

The vertices of the original and new triangles haven't moved. Only the triangle as a whole moved from one place to another. The other choices involved reflecting the triangle in which the vertices change locations that are different from their original locations. Hope this helps!

An angle equal to its supplement is _____ degree.

Answers

Answer:

90 Degrees.

The angle which is equal to its supplement is 90 degrees.

Answer:

90

Step-by-step explanation:

Let the required angle be x°

Therefore, it's supplement = (180-x)°

Now, x = 180-x

= x+x = 180

= 2x = 180°

Therefore x\ =\ \frac{180°}{2}\ =\ 90°x = 2180° = 90°

What is the arc measure of PQ?

Answers

Answer:

47.1

Step-by-step explanation:

l= rø

or, l= 18 × 5π/6

or, l= 15π

l = 47.1

47.1 your welcome now can you please help me with my history work

Which is the decimal equivalent of 2/3

Answers

Answer:0.66666666666667

Step-by-step explanation:

3(6x-5)-7(3x+10)=0. solve for x

Answers

Answer:

x = -85/3

Step-by-step explanation:

The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given expression is:

3(6x-5)-7(3x+10)=0

now, we have to simplify the expression to solve for x

we get,

3(6x-5)-7(3x+10)=0

or, 18x - 30 - 21x - 70 = 0

or, 18x - 21x -30 - 70 = 0

or, - 3x - 100 = 0

or, 3x = -100

or, x = -100/3

or, x = - 33.33

Hence, The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.

To learn more on simplification click:

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On a multiple-choice test over English vocabulary, Roy got 16 out of 20 correct. What percent of the problems did she
miss? Round your answer to the nearest tenth of a percent, if necessary.

Answers

Answer:

20%

Step-by-step explanation:

100/20 (the number of questions) = 5 (how much each question is worth)

16(the number of questions she got correct) times 5 is 80

She got 80 percent correct

That means that she missed 20 percent

Which fraction is less?
2/5 or 1/6

Answers

Answer:

1/6

Step-by-step explanation:

convert ti decimal then compare the two

Answer:

Hello There!!

Step-by-step explanation:

1/6 is less.You can check this by 2÷5=0.4 and 1÷6=0.1666666667 so 1/6 is less.

hope this helps,have a great day!!

~Pinky~

Can someone watch number 10 ?

Answers

Answer:

-9

Step-by-step explanation:

Hello! So, we need to find log_6 1/6. The definition of log is the power that you need to multiply that number by to get the next number. 1/6=6^-1, so our equation would be:

-1=x/9, so x is clearly -9.

Have a nice day.

~cloud

Answer:

You are correct

Step-by-step explanation:

[tex]log_{6} \frac{1}{6} =\frac{x}{9}[/tex]

[tex]log_{6} 6^{-1} =\frac{x}{9}[/tex]

[tex](-1)log_{6}6=\frac{x}{9}[/tex]

[tex]-1=x/9[/tex]

[tex]-9=x[/tex]

Hope that helps :)

What number is equal to its opposite? Please enter your answer as a number.

Answers

Answer:

there is no opposite number but no means opposite

Step-by-step explanation:

A rectangle has a side length of 9 centimeters and 6 centimeters. What is the area of the rectangle?

Answers

Answer:

54 cm²

Step-by-step explanation:

To find the area, use the formula, A = lw

Plug in the length and width, and solve:

A = lw

A = 9(6)

A = 54

So, the area of the rectangle is 54 cm²

Answer:

[tex] \bf \huge 54 \: cm \: {}^{2} [/tex]

Step-by-step explanation:

correct Question :

A rectangle has a side length and wide of 9 centimeters and 6 centimeters. What is the area of the rectangle

Given that :

A rectangle has a side length and wide of 9 centimeters and 6 centimeters.

to find :

area of rectangle.

formulas used :

A = l × w

where,

A = area of rectangle l = lenth of rectangle W = wide of rectangle

explanation :

⟼ l = 9 cm

⟼ W = 6 cm

⟼ Area = l × b

⟼ Area = 9 × 6 cm

⟼ Area = 54 cm².

the area of rectangle is 54 cm².

What is 30 percent of 48

Answers

Answer:    14.4

30*48=14.4%

Step-by-step explanation:

Answer:

14.4

Step-by-step explanation:

Jalice is an artist who makes paintings with basic shapes. She
wants to create a painting that has a total of 19 shapes, all
squares and triangles. She also wants the painting to have 11
more squares than triangles.

Answers

More squares than triangles

which of the following is a polynomial?

Answers

Answer:

D.

Step by step explanation:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

(Thanks to ueknfiowlmneuYIBKt for helping! His profile is at https://brainly.com/app/profile/39601187)

Hope this helps!

PLEASE HELP WITH THESE QUESTIONS! WILL GIVE 100 POINTS!
1. a single die is rolled two times. what is the probability that the next role will role four?
2. toms scores were: 80,80,70 and 90. what was his weighted average if the tests were weighted at 1,2,3,4 and 4 respectively?

Answers

Answer:

1. 1/6 2. 80

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the conditional relative frequency of a state's popular vote being won by the Democrat in 2012, given that it was won by the Democrat in 1976?

Answers

The frequency data table is missing, so i have attached it.

Answer:

0.5

Step-by-step explanation:

We want to find conditional relative frequency and conditional relative frequency is used to compare the frequency count to the marginal total that represents the particular condition we are dealing with.

In this case, the condition is the popular vote of the state being won by the Democrat in 2012, given that the same popular vote was won by the Democrat in 1976.

In the frequency data table attached, we see that the joint frequency count for Democrat winning in 1976 and 2012 is given as 12.

While the corresponding marginal frequency total is given as 24.

Thus;

Conditional relative frequency = joint frequency count/marginal frequency total = 12/24 = 0.5

The conditional relative frequency of a state's popular vote being won by the Democrat in 2012, given that it was won by the Democrat in 1976:

 

We need to discover conditional relative recurrence and conditional relative recurrence is utilized to compare the recurrence number to the minimal add up to that speaks to the specific condition we are managing with. In this case, the condition is the prevalent vote of the state being won by the Democrat in 2012, given that the same prevalent vote was won by the Democrat in 1976. In the recurrence information table joined, we see that the joint recurrence check for Democrat winning in 1976 and 2012 is given as 12.

Thus;

Conditional relative frequency = joint frequency count/marginal frequency total = 12/24 = 0.5

The conditional relative frequency of a state's popular vote being won by the Democrat in 2012, given that it was won by the Democrat in 1976 is 0.5.

Learn more :

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Simplify 2a + 14 - 5a - 7 + 8a​

Answers

Step-by-step explanation:

2a -5a +8a.

2a +8a -5a

10a -5a = 5a

14-7=7

Answer=5a+7

HEY
so you need to collect like terms so

2a-5a+8a= 5a

5a+14-7

Then 14-7=7

The answer is

5a+7

PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTEd

Answers

Dude I’m getting so many scam links to, it’s so annoying

What is 5 3/4 -1 5/12= ?

Answers

Answer:

4.33333333333 or 4 and 1/3

Step-by-step explanation:

Answer:

4 1/3

Step-by-step explanation:

1) Convert 5 3/4 to improper fraction.

2) Simplify 5x4 to 20.

3) Simplify 20+3 to 23.

4) Convert 1 5/12 to an improper fraction.

5) Simplify 1x12 to 12.

6) Simplify 12+5 to 17.

7) Find the least common denominator of 23/4 & 17/12.

8) Make the denominators the same.

9) Join the denominators.

10) Simplify 52/12 ( 4 1/3 )

Hope this helped!

​  

.

Solve for the value of x.

Answers

Answer:

x = 15

Step-by-step explanation:

Similar triangles and proportional side lengths.

10/4 = x/6

5/2 = x/6

2x = 5 * 6

2x = 30

x = 15

Need help alegbra!!! Look at photo for question!!

Answers

Answer

74+2

Step-by-step explanation:

3/2 inches of snow fell in 3/4 of an hour. Which two statements are correct?

Answers

Answer:

A and E

Step-by-step explanation:

Investigate the parent function for y = x^2. Refer to the previous slide. Make sure a = 1, h = 0, and k = 0.

1. Parent Graph Name:
2. Parent Equation:
3. Interesting properties:(infection point, endpoints, maxima/minima, etc.

NOT A MULTIPLE CHOICE​

Answers

9514 1404 393

Answer:

y=x^2 parent functiony=x^2vertex (minimum) at (0, 0); end behavior (-∞, ∞) and (∞, ∞)

Step-by-step explanation:

1. You can call the graph whatever you like. Since you're graphing the parent function y=x², you might want that in the title.

__

2. The problem statement tells us we're graphing y = x².

__

3. The quadratic function has one turning point on the axis of symmetry. The turning point for the parent function is its vertex at (0, 0). This point is a minimum, because the parent function has a positive coefficient.

The function is even degree with a positive leading coefficient, so the end behavior tends to +∞ for x going to either -∞ or +∞.

_____

Additional comment

If we're to "refer to the previous slide", it would be nice to be able to see that slide. As is, we're guessing at what the question is really after. The basic y=x^2 function will have been studied first thing when nonlinear polynomials are introduced. This should all be very elementary stuff.

Magic Video Games, Inc., sells an expensive video games
package. Because the package is so expensive, the company wants to advertise an impressive guarantee
for the life expectancy of its computer control system.
The guarantee policy will refund the full purchase price if the computer fails during the guarantee period.
The research department has done tests that show that the mean life for the computer is 35 months, with standard deviation of 5 months. The computer
life is normally distributed. How long can the guarantee period be if management does not want to refund the purchase price on more than 6.596 of the
Magic Video packages?

Answers

Answer:

Magic Video Games, Inc., sells an expensive video games

package. Because the package is so expensive, the company wants to advertise an impressive guarantee

for the life expectancy of its computer control system.

The guarantee policy will refund the full purchase price if the computer fails during the guarantee period.

The research department has done tests that show that the mean life for the computer is 35 months, with standard deviation of 5 months. The computer

life is normally distributed. How long can the guarantee period be if management does not want to refund the purchase price on more than 6.596 of the

Magic Video packages?

Step-by-step explanation:

Marcelo can select from 2 types of oranges and 3 types of peaches. If he randomly selects 1 orange and 1 peach, how many possible choices does he have? ___________ possible choices

Answers

6

2x3=6

oranges-
peaches-

possible combination:
1-

2-

3-

4-

5-

6-

The following triangles are similar. Solve for x:

Answers

Answer:

5

Step-by-step explanation:

Common factor: 4. Divide 20 by 4 to get 5

Answer: X=5

Step-by-step explanation:

Since the triangles are similar shape-wise, then that means that the sides are going to be similar numerically.

12/4 got us 3, which is the side of that smaller triangle. Since we divided 12 by 4, then we need to divide 20 by 4 to get the unknown side. 20/4 is 5, therefore x is 5.

Find the radius of the circle given the area of the sector is 153.9 and the angle measure
is 90 degrees.

Answers

Answer:

14

Step-by-step explanation:

area of sector = 153.9

or, (1/2) r²∅ = 153.9

or, r²∅ = 153.9 ×2

or, r²∅ = 307.8

or, r²× π/2 = 307.8

or, r² = 615.6/π

or, r² = 196

or, r=√196

r = 14

Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive herbicide A. The remainder of the seedlings is assigned to receive herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period, the height in centimeters is recorded for each seedling. The following results are obtained: Herbicide A = 94.5 cm s1 = 10 cm Herbicide B = 109.1 cm s2 = 9 cm

Required:
1. What is a 90% confidence interval (use the conservative value for the degrees of freedom) for μ2 – μ1? a. 14.6 ± 7.00 b. 14.6 ± 7.38 c. 14.6 ± 7.80 d. 14.6 ± 9.62
2. Suppose we wish to determine if there tends to be a difference in height for the seedlings treated with the different herbicides. To answer this question, we decide to test the hypotheses H0: μ2 – μ1 = 0, Ha: μ2 – μ1 ≠ 0. What is the value of the two-sample t statistic?

a. 14.6
b. 3.43
c. 2.54
d. 7.80

3. What can we say about the value of the P-value?
a. P-value < 0.01
b. 0.01 < P-value < 0.05
c. 0.05 < P-value < 0.10
d. P-value > 0.10

4. If you use the 0.05 level of significance, what conclusion would you reach?
a. The evidence is not sufficiently strong to reject the null hypothesis.
b. There is sufficient evidence to reject the null hypothesis.
c. Cannot be determined by the information given.

Answers

Answer:

1. b. 14.6 ± 7.38

2. b. 3.43

3. b. 0.01 < P-value < 0.05

4. b. There is sufficient evidence to reject the null hypothesis.

Step-by-step explanation:

The hypothesis test is used to test the null hypothesis against the alternative hypothesis. The p value of the test determines whether to accept or reject the null hypothesis. In the given scenario the p value is less than 0.05 so there is sufficient evidence against the null hypothesis in favor of alternative hypothesis.

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

7√3

Step-by-step explanation:

Given the following information,

Short = 7 = Opposite

Angle of elevation =30 degrees

Required

Long (Adjacent)

Using SOH CAH TOA identity

tan theta = 7/long

tan 30 = 7/long

long = 7/tan30

long= 7/1/√3

long = 7√3

Hence the long is 7√3

Answer: I heard that you need square root 3 at the end to make it long on another question.

7 sq 3

Step-by-step explanation: other user's and my answer

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