Sixth grade
X Factor numerical expressions using the distributive property. MX2

Which expression shows a way to factor 63 + 49?
21(3 + 2)
7(9 + 7)
9(7 + 6)
3(21 + 16)

Answers

Answer 1

Hey there!

“63 + 49”

21(3 + 2)

= 21(3) + 21(2)

= 63 + 42

= 105

Option A. isn’t the answer because the equation for that is: 63 + 42

7(9 + 7)

= 7(9) + 7(7)

= 63 + 49

= 112

Option B. could possibly be your answer

9(7 + 6)

= 9(7) + 9(6)

= 63 + 54

= 117

Option C. isn't your answer because the equation for that is: 63 + 54

3(21 + 16)

= 3(21) + 3(16)

= 63 + 48

Option D. isn’t your answer because the equation for that is: 63 + 48

Thus, this makes makes [Option B. 7(9 + 7)] is your answer

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)


Related Questions

what is the scale factor of 3x + 2, 3y -1?

(will give brainliest)

Answers

21 Line is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line is 3x − y = 4. Determine and state an.


You know the following information about triangle ABC and triangle DEF:
AB-DE and What additional information is needed to prove that the triangles are congruent by SAS?
AB=DE
AC=DF
BC=EF

Answers

Answer:

  (b)  AC = DF

Step-by-step explanation:

In order to use SAS, you need to show congruence of the sides on either side of the angle. One of those sides is given as congruent: AB = DE. (This given rules out choice A, which is identical.)

The remaining needed side will have points A and D as one of the points defining the side. This rules out choice D.

The relation between other angles is irrelevant to SAS, so choice C is ruled out.

Choice B: AC = DF will supply the information necessary to show congruence by SAS.

What is the equation of this line in slope-intercept form?
(-1,5) (1,-1)

Answers

Answer:

y=-3x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-5)/(1-(-1))

m=-6/(1+1)

m=-6/2

m=-3

y-y1=m(x-x1)

y-5=-3(x-(-1))

y-5=-3(x+1)

y=-3(x+1)+5

y=-3x-3+5

y=-3x+2

The first step for deriving the quadratic formula from the quadratic equation, 0 = ax^2 + bx + c, is shown.

Step 1: –c = ax^2 + bx

Which best explains or justifies Step 1?

subtraction property of equality
completing the square
factoring out the constant
zero property of multiplication

Answers

Answer:

Subtraction property of equality

Step-by-step explanation:

You subtracted c from both sides of the equation to preserve equality

The step 1 is explained by subtraction property of equality.

The correct option is A.

The standard form of Quadratic Equation is

ax² + bx + c = 0

Also, we must remove c from the right side and move it to the left side in order to derive the quadratic formula from the quadratic equation.

And to do that, we must subtract c from both sides, which is

-c = ax² + bx

Then, we have used subtraction property here.

Learn more about Subtraction here:

https://brainly.com/question/10716627

#SPJ7

Santa needs 600 toys. 175 toys have already
been made. 5 elves made the rest of the toys.
How many toys did each elf make, assuming
that they each made they amount?

Answers

Answer:

Each elf made 85 toys

Step-by-step explanation:

First we must find out how many more toys need to be made. To do this we just have to subtract 175 from 600. 600 - 175 = 425.

Next we have to divide 425 toys by the 5 elves. 425 divided by 5 is 85.

PLS HELP I WILL GIVE BRAINLYEST
Use the number line to find the distance between -10 and -4.

Enter your answer in the box.
units

Answers

Answer:

6

Step-by-step explanation:

Meredith is 3 times as old as Adam. Six years from now, she will be twice as old as Adam will be then. How old is Adam now

Answers

Answer:

A=6

Step-by-step explanation:

M=3A

M+6=2(A+6)     M+6=2A+12      M=2A+6

System of equations:

M=3A            Subtract

M=2A+6

0=A-6

A=6

what is this answer?​

Answers

Answer:

The answer is 16.

Sorry if it's incorrect.

Step-by-step explanation:

The correct answer is 16.
Explanation:
24 = 2 × 2 × 2 × 2 = 16.

What Is The exact volume of the cone with a height of 4 and a radius of 7

Answers

Answer:

196 / 3 [tex]\pi[/tex]

Step-by-step explanation:

pi x radius x radius x height / 3

= pi x 49 x 4 / 3

= pi x 196 / 3

A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has
traveled 648 ft. Write a linear function rule to model the distance in feet d the car has traveled any
number of seconds t after passing the timing device.
The linear function rule is d =

Answers

Answer:answer d

Step-by-step explanation:

i just did the test

Find the value of the expression 8a +b, if a=3 and b= 1

a) 23 b) 29 c) 30 d) 25

Answers

8a + b

a=3

b=1

(8×3)+1

=24+1

=25

the answer is d)25

I need help with my math homework from The Hung Vuong Learning Centre Incorporated, like immediately please!!! Here is an image for you to answer the questions will receive the Brainliest award if you answer the questions completely! Well anyways, good luck on answering the questions and I will check the answers are appropriate! :)

Answers

Answer:

Give me some hint please

Answer:

2. d) L = 10, W = 20

3. c) P = 100

Step-by-step explanation:

2. 2L + W = 40

W = 40 - 2L

A = L x W

= L (40 - 2L)

= 2L^2 + 40L

=-2 (L^2 - 20L)

= -2 (L^2 - 20^2 + 100 - 100)

= -2 (L^2 - 20L + 100) +200

= -2 (L - 10)^2 +200

L = 10

W = 40 - 2(10

=20

3. c. P = 2(L + W)

= 2(49 + 1)

= 100

a. P = 53

b. P = 32.5

d. P = 28

Which of the following questions can use science as a method of inquiry?

A. How many of hours of homework should be assigned each night?
B. At what age should a person be able to drive?
C. Why does a cork float in water?
D. Should pitbulls be allowed to live in cities?

Answers

Answer:

c

Step-by-step explanation:

plz I just wanna if my answers are true​

Answers

Answer:

3^2

3^4

3^6

Step-by-step explanation:

9 is actually 3^2, so you have the first one wrong.

The second one is correct, but the third one is not

Since 9 is 3^2, you can write that as (3^2)^3, which is 3^6.

Erica has $12 credit on her Cel-Tel phone card. It costs her $1 to make a phone call using her Cel-Tel card. Erica also has $15 credit on her MTT phone card. It costs her $2 to make a phone call using her MTT card. Which system of equations can be solved to find the number of calls, x, that Erica can make and have the same amount of money, y, on both phone cards?


yy==−2x+15−x+12
y = - 2 x + 15 y = - x + 12

yy==2x+15−x+15
y = 2 x + 15 y = - x + 15

yy==−2x−15−x−12
y = - 2 x - 15 y = - x - 12

yy==15x−212x−1
y = 15 x - 2 y = 12 x - 1

Answers

Answer: b

Step-by-step explanation:

What us y+3=-2 (6x-1)

Answers

Answer:

y=-12x-1

Step-by-step explanation:

Y=-12x-1

(Simplify and make y the subject)

(I need these answered asap and with work and explanation included)

Answers

Answer:

blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.

Find the slope of the line passing through the points (-6, 1) and (-7,5).

Answers

Answer:

y = -4x – 23

Hope this helps :)

Slope= y2-y1/x2-x1

= 5-1/-7-(-6)

= 4/-1

= -4

There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the box. Find an expression, in terms of x, for the probability that Jack takes one pen of each colour. Give your answer in its simplest form.​

Answers

The probability that one of each color is selected is [tex]\frac{10x - x^2}{45}[/tex]

Probabilities

The probability of an event is the chances of the said event

The given parameters are:

Total  = 10Red = xBlue = 10 - x

Calculating the required probability

The probability that one of each color is selected is calculated as follows:

[tex]P = P(Blue) \times P(Red) + P(Red) \times P(Blue)[/tex]

So, we have:

[tex]P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}[/tex]

This gives

[tex]P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}[/tex]

Take LCM

[tex]P = \frac{2x(10 - x)}{90}[/tex]

Simplify the above expression

[tex]P = \frac{x(10 - x)}{45}[/tex]

Expand

[tex]P = \frac{10x - x^2}{45}[/tex]

Hence, the probability that one of each color is selected is [tex]P = \frac{10x - x^2}{45}[/tex]

Read more about probabilities at:

https://brainly.com/question/7965468

move the numbers to the blanks to order them from least to greatest value.

0.1 -9/8 4 |-5/6| -0.78

Answers

Answer:

-9/8, -5/6 -0.78, 0.1, 4

Step-by-step explanation:

since they're negative, it makes them look bigger than others but they're not. I think I got it right. hope I could help!

Write the equation of the line, in slope-intercept form, with the
following information:
slope:
3
point: (6,-1)

Answers

Answer:

y=3x-19

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=3(x-6)

y+1=3(x-6)

y=3x-18-1

y=3x-19

Saturn is about 1.427 x 10^12 miles from the sun. Light travels at approximately 3 x 10^8 miles/second. How long does it take for suns light to reach Saturn

Answers

Answer:

4,756.66 seconds or 1.321 hours

Here's how I got that:

- Simply use time formula and plug in what you know -

                         t = distance/speed

                                         ↓

              1,427,000,000,000/300000000

                                         ↓

                                t = 4,756.66

~That's all folks~

-Siascon

Amelie read 12 pages of her book each day for 4 days. Matthew read 12 pages of the same book each day for 8 days.

Answers

Answer:

if u are asking how many more pages Matthew read then it's 48 pages. If u are asking how many they read all together then it's 144 pages.

8. What is the slope of the line that goes through (8,8) and (4, 6)?
-1/2
1/2
-2
2

Answers

Answer:

Step-by-step explanation:

Slope is the change in y over the change in x.

m = (8 - 6) / (8 - 4) = 2/4 = 1/2

Answer:

1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-8)/(4-8)

m=-2/-4

m=1/2

Hire Refrigeration company floated Rs. 3 Billion bond on July 1, 2016. Each bond having face value of Rs. 1,000. Maturity of bond is 5 years, while interest coupon rate is 12%. What will be the value of bond if market interest rate is 8% and 15% respectively. Also what will be the new value of bond after 2 years if the market interest rate remains constant.

Answers

1. The value of the bond with a market interest rate of 8% is $1,159.71.

2. The value of the bond with a market interest rate of 15% is $899.44.

3. The new value of the bond after 2 years with market interest rate of 8% is  $1,103.08.

4. The new value of the bond after 2 years with market interest rate of 15% is $931.50.

Data and Calculations:

N (# of periods) = 5 years

I/Y (Interest per year) = (A) 8% or  (B) 15%

PMT (Periodic Payment) = $120

FV (Future Value) = $1,000

Results

PV = $1,159.71   and $899.44 for (B)

Schedule at 8% interest rate

Period       PV              PMT             Interest       FV

1            $1,159.71       $120.00       $92.78       $1,132.49

2           $1,132.49       $120.00       $90.60     $1,103.08

3           $1,103.08       $120.00       $88.25      $1,071.33

4           $1,071.33       $120.00        $85.71      $1,037.04

5         $1,037.04       $120.00        $82.96     $1,000.00

Schedule at 15% interest rate

Period       PV              PMT             Interest       FV

1           $899.44    $120.00           $134.92      $914.35

2           $914.35      $120.00           $137.15      $931.50

3          $931.50      $120.00           $139.73      $951.23

4          $951.23      $120.00           $142.68      $973.91

5          $973.91      $120.00           $146.09   $1,000.00

Learn more about the value of bonds based on effective interest rate here: https://brainly.com/question/25524725 and https://brainly.com/question/23265123

which expression is equivalent to (-3) x + (-3) (-12)

Answers

Answer:

-3x - 15

or

-3(x + 5)

Step-by-step explanation:

-3x - 3 - 12

-3x - 15

-3(x + 5)

sorry if this doesn't help but i hope it does

Answer:

-3(x + 5)

Step-by-step explanation:

What is the completely factored form of f(x)=x^3+5x^2+4x-6

Answers

Answer:

(x+3)(x^2+2x-2)

Step-by-step explanation:

rewrote the expression

then factor out common numbers, variables, and exponents

There are 5 counselors for every 75 students enrolled in a camp. What is
the maximum number of students allowed if there are 12 counselors?

Answers

75/5 = 15

15= 1 counsellor for 15 students
so

15 x 12 = 180 students

2. What are all possible names for line b?

Answers

Answer:

di ako sure pero ito :)

Step-by-step explanation:

A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.

A segment is named by its two endpoints, for example, AB¯¯¯¯¯ .

Helppp pleaseeee !!!

Answers

Answer:

Solution is (x+7)(x+8)

Step-by-step explanation:

1) Find what 2 numbers multiply to 56 (c value) and add to 15 (b value)

2) (x+7)(x+8)

I personally was taught this method and am unfamiliar with with the method shown on the worksheet. If my way is unclear, please feel free to ask any more questions you have.

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