Which of the following steps indicates the distributive property when solving -3(x+2)=21

Answer:

[tex]KH = 55[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find KH

From the attachment:

[tex]GD = 13[/tex]   [tex]DE = 7[/tex]

[tex]HI = 29.4[/tex]

To find KH, we make use of the following equivalent ratio:

[tex]GD : DE = KH : HI[/tex]

Substitute values for GD, DE and HI

[tex]13 : 7 = KH : 29.4[/tex]

Convert to fractions

[tex]\frac{13}{7} = \frac{KH}{29.4}[/tex]

Make KH the subject

[tex]KH = \frac{13}{7} * 29.4[/tex]

[tex]KH = \frac{13* 29.4}{7}[/tex]

[tex]KH = \frac{382.2}{7}[/tex]

[tex]KH = 54.6[/tex]

[tex]KH = 55[/tex] --- approximated

Answer

The amount in Colby's account per yer

Explanation

Refer to the left side of the graph. When looking for the y-intercept's units/other information, always review the left hand side of the graph as that will display the information of the vertical line, known as the y axis, where the y-intercept lies

Answer:

64

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Let the original quantity of marbles of the bag be y.

[tex]\frac{2}{3} (\frac{1}{2} )y=12[/tex]

y=36

Answer:

The answer is after 3 weeks you will have the same amount of money

Step-by-step explanation:

5x + 20 = 10x +5

5x - 10x = 5 -20

-5x = -15

x = -15/-5

x = 3

Answer:  B. The x-Coordinate is Positive and the Y- Coordinate is Negative

Step-by-step explanation: Get a Coordinate Plane Picture with the Coordinates labeled for reference.

Answer:

f + 3

Step-by-step explanation:

Combine like-terms

4f - 2f - f +3

f + 3

Answer:

4f-2f+3-f

2f-f+3

f+3

f= -3

Step-by-step explanation:

Answer:

The minimum cost per unit is obtained for an order of 8 units.

Step-by-step explanation:

Since the total cost is modeled by;

C(x)=5x²+320

Then;

1 unit costs; C(x)=5(1)²+320 = 325

cost per unit 325/1 = 325

8 units costs; C(x)=5(8)²+320 = 640

cost per unit = 640/8 = 80

80 units costs; C(x)=5(80)²+320 = 32320

Cost per unit = 32320/80 = 404

The minimum cost per unit is obtained for an order of 8 units.

Answer:

[tex](x,y) = (1,-12)[/tex]

Step-by-step explanation:

Given

[tex]y = 6x - 18[/tex]

Required

Find a solution

To do this, we assume a value for x, then solve for y.

Let x = 1

Substitute 1 for x in [tex]y = 6x - 18[/tex]

[tex]y = 6*1 - 18[/tex]

[tex]y = 6 - 18[/tex]

[tex]y= -12[/tex]

Hence, a solution is:

[tex](x,y) = (1,-12)[/tex]

Answer:

The answer is 42

Step-by-step explanation:

6²= 36

3(3)=9

36+9×2/3 = 42

Because he likes chicken and candy 5x7=35     ,,,,

Answer:

Angle GHI measures 56º, and angle JKL measures 34º.

Step-by-step explanation:

Complementary Angles:

If two angles are complementary, the sum of their measures is 90º.

∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.

Since they are complementary:

[tex]5x + 6 + 3x + 4 = 90[/tex]

[tex]8x + 10 = 90[/tex]

[tex]8x = 90 - 10[/tex]

[tex]8x = 80[/tex]

[tex]x = \frac{80}{8}[/tex]

[tex]x = 10[/tex]

Measures:

GHI: 5*10 + 6 = 50 + 6 = 56º

JKL: 3*10 + 4 = 30 + 4 = 34º.

Angle GHI measures 56º, and angle JKL measures 34º.

The measures of the two angles are 56 and 34 degrees

The sum of complementary angles is 90degrees

Given the measurement:

Taking the sum and equating to 90 degrees

5x + 6 + 3x + 4 = 90

8x + 10 = 90

8x = 90 - 10

8x = 80

x = 10

∠GHI = 5(10) + 6

∠GHI = 56 degrees

∠JKL = 90 - 56

∠JKL = 34degrees

Hence the measures of the two angles are 56 and 34 degrees

Learn more on complementary angles here: https://brainly.com/question/20728641

Answer:

a) Area = 2x^2 + 3x - 2

b) Perimeter = 64x + 28

c) Length = 60 feet and Width = 50 feet

Step-by-step explanation:

The computation is shown below:

Given that

length = 12x + 24 feet

And, the width be 20x - 10 feet

Now as we know that

Area of the rectangle = length × width

= (12x + 24) × (20x - 10)

= 12x (20x -10) + 24(20x - 10)

= 240x^2 - 120x + 480x - 240

= 240x^2 + 360x - 240

= 2x^2 + 3x - 2

Now for perimeter

As we know that

Perimeter of the rectangle = 2(Length + width)

= 2(12x + 24 + 20x - 10)

= 2(32x + 14)

= 64x + 28

In the case when the perimeter is 220

So,

220 = 64x + 28

64x = 220 - 28

64x = 192

x = 3

Now length is 12(3) + 24

= 36 + 24

= 60 feet

And, the width is

= 20(3) - 10

= 60 - 10

= 50 feet

Answer:

x = 1 and x = -10/11

Step-by-step explanation:

3x² + 8x² - x - 10 = 0

11x² - x - 10 = 0

(11x + 10)(x - 1) = 0

11x + 10 = 0

11x = -10

x = -10/11

x - 1 = 0

x = 1

Answer:

13/21

Step-by-step explanation:

find common denominator 21

Monday 2/7 = 6/21

Tuesday 1/3 = 7/21

multiply the top by what you did the bottom for the common denominator to get the equivalent fraction

add the two fraction together by keeping the denominator the same

6+7=13

so 13/21

Answer:

6

Step-by-step explanation:

Subtract the width from the length.

8.5 - 5.95 = 2.55 yards

Answer:

C

Step-by-step explanation:

c) 238 +C=375

or, C=375-238

or, C=137 answer

Answer:

The answer is C

Step-by-step explanation:

I got it right

Answer:

0.1538

Step-by-step explanation:

There are 8 cards that are either 2s or Ks.

P(2 or K)  = 8/52

P(2 or K) = 0.1538

Answer:

1/12

Step-by-step explanation:

1/2 multiplied by 1/6 equals 1/12

Answer:

The value of 4 is 400

Step-by-step explanation:

Answer:

hundred

Step-by-step explanation:

Answer:

a)

Step-by-step explanation:

[tex]\sqrt{315}[/tex]  is approximately 17.8

17² = 289

18² = 324

315 is between 289 and 324

The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.

The number system is a way to represent or express numbers.

A decimal number is a widespread number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given square roots,√315

The value of √91 is 17.74823935

The whole number less than  17.74823935 is 17 and greater than  17.74823935 is 18.

Thus, 17 <  17.74823935< 18

Hence "The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.".

For more about the number system,

brainly.com/question/22046046

#SPJ5

Answer:

1.1r,-1r

2.-2x,5x

Step-by-step explanation:

i tgink tgis is what the answer os unless i am a doing the math wrong. so i hope im right and tgis helps

Answer:

[tex]8x + 32 + 116 = 180 \\ 8x + 148 = 180 \\ 8x = 180 - 148 \\ 8x =32 \\ \boxed{x = 4}[/tex]

[tex](7x + 5) + 52 + 67 = 180 \\ 7x + 124 = 180 \\ 7x = 56 \\ \boxed{x = 8}[/tex]

Answer & Step-by-step explanation:

5). x = 4

6). x = 8

You can write in the comments if you want an explanation.

Hope this help ;)