Diego is solving the equation x2 – 12x = 21

Which value must be added to both sides of the equation to make the left side a perfect -square trinomial?

A

36

B

32

с

144

D

4

Answer:

1 Bag = 12.3 Ounces

5 Bags = 61.5 Ounces

123 Ounces = 10 Bags

Step-by-step explanation:

24.6 divided by 2 is 12.3.

12.3 times 5 is 61.5

61.5 times 2 is 123.

Answer:

6h

Step-by-step explanation:

1 per 10 minutes

that means 6 per hour

number of cupcakes lynn made = x

number of cupcakes santo baked = 2x - 4

hope this helps and please mark me brainliesr. PLEASE!!!!

Answer:

x = 25

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

2x + 3x + 55 = 180, that is

5x + 55 = 180 ( subtract 55 from both sides )

5x = 125 ( divide both sides by 5 )

x = 25

Answer:

It's 0

Step-by-step explanation:

Assuming Adams amount is x, three times his amount will be 3x. $14 more than the times Adam's amount will be 14 +3x.

Therefore if Arlene's money is $56 which is $14 more than three times Adam's amount, then the equation will be ;

14+3x=56

Answer:

The answer is 18 -12x = -12x + 18

Answer:

same :(

Step-by-step explanation:

Answer:

60:70

Step-by-step explanation:

[tex] \frac{60}{x} = \frac{6}{7} \\ \\ 60 \times \frac{7}{6} = x \\ \\ 70 = x[/tex]

Answer:

a)

Step-by-step explanation:

I am 100% sure it's the answer

Answer:

Step-by-step explanation:

using S[tex]\frac{o}{h}[/tex] C[tex]\frac{a}{h}[/tex] T[tex]\frac{o}{a}[/tex] (sin opposite/hypotenuse, cos adjacent/hypotenuse, tan opposite/adjacent)

Tan Y = 3/8

Tan Z = 8/3

hope this helps <3

Answer:

the first one?

Step-by-step explanation:

I am like 67% sure.

Answer:70%

Step-by-step explanation: 30 + 40 grams = 70

70 Grams

Answer:

y = 5

x = 1

Step-by-step explanation:

y = 3x + 2

-4x + 4(3x+2)=16

y=3x+2

-4x+(4*3x+4*2)=16

x = 1

y = 5

Answer:

x-coordinate = 1

y-coordinate = 5

Step-by-step explanation:

By using the substitution method, we substitute either x-term or y-term in any equation.

the term must be only the subject in order to substitute in.

Our equation that has only the subject is the first equation.

Substitute y = 3x+2 in the second equation.

[tex] - 4x + 4(3x + 2) = 16[/tex]

Distribute 4 in 3x+2

[tex] - 4x + 12x + 8 = 16[/tex]

The constant cannot add up or subtract with the variable. Therefore, move 8 to subtract 16 on another side.

[tex]12x - 4x = 16 - 8 \\ 8x = 8[/tex]

Move 8 to divide 8 on the another side.

[tex]x = \frac{8}{8} \\ x = 1[/tex]

Our next goal is to find the y-value by substituting x = 1 in any given equation.

I will substitute x = 1 in the first equation. (You can substitute in the second equation if you want.)

[tex]y = 3(1) + 2 \\ y = 3 + 2 \\ y = 5[/tex]

Answer Check

Checking is to make sure that we have got the right answer. We can check the answer by substituting y-value and x-value in both equations.

[tex]x = 1 \\ y = 5[/tex]

First Equation Check

[tex]5 = 3(1) + 2 \\ 5 = 3 + 2 \\ 5 = 5[/tex]

The equation is true. Therefore, the answer is correct for first equation.

Second Equation Check

[tex] - 4(1) + 4(5) = 16 \\ - 4 + 20 = 16 \\ 16 = 16[/tex]

The equation is true. Both equations are true for x = 1 and y = 5.

Therefore, the answer is (1,5)

Answer:

5:3=8

120. 120÷8=15

5×15=75. 3×15=45

there are 45 children

Answer:

30%

Step-by-step explanation:

Becuase 6 nickels add up to 30

Answer:

jim is correct, x does equal 7°. justify your answer by putting seven back into the equation. it gives you back that 180 equals 180, therefore it is correct

Step-by-step explanation:

so, all angles of a triangle have to add up to 180;

(15x) + (8x - 11) + (3x + 9) = 180

15x + 8x - 11 + 3x + 9 = 180

add your common numbers

26x - 2 = 180

add 2

26x = 182

divide 26

x = 7

put it back into the equation

15(7) + 8(7) - 11 + 3(7) + 9 = 180

180 = 180

Answer:

there are 97 + 47 + 77 = 221 creatures from Earth in the alien spaceship.

the probability that a human being is chosen at random = 77 / 221 = 0.3484 = 34.84%

the probability that a chicken is chosen at random = 97 / 221 = 0.4389 = 43.89%

the probability of choosing a cow at random = 100% - 34.84% - 43.89% = 21.27%

Answer:

0.44

Response 2

0.21

Response 3

0.35

Step-by-step explanation:

Answer:

It should be 28.35

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

7). x = 6, [tex]\frac{14}{3}[/tex]

8). x = 2

Step-by-step explanation:

7). Area of a circle = πr²

   Here 'r' = radius of the circle

Area of the shaded region of the circle = Area of the large circle - Area of the small circle

                                                                 = π(x)² - [tex]\pi (\frac{x}{2})^2[/tex]

                                                                 = [tex]\pi x^{2} -\pi (\frac{x^2}{4})[/tex]

                                                                 = [tex]\pi x^{2}(1-\frac{1}{4})[/tex]

                                                                 = [tex]\frac{3\pi x^{2} }{4}[/tex] in²

If area of the shaded region is (8πx - 21π) in²

[tex]\frac{3\pi x^{2} }{4}=8\pi x - 21\pi[/tex]

[tex]\frac{3x^2}{4}=8x-21[/tex]

3x² = 32x - 84

3x²- 32x + 84 = 0

3x² - 14x - 18x + 84 = 0

x(3x - 14) - 6(3x - 14) = 0

(x - 6)(3x - 14) = 0

x = 6, [tex]\frac{14}{3}[/tex]

8). Area of the shaded region = Area of the largest circle - Area of the smaller semicircle - Area of the smallest semicircle

Area of the largest circle = π(2x + 2x)²

                                         = 16πx²

Area of the smaller semicircle = [tex]\frac{1}{2}\pi (3x)^{2}[/tex]

                                                  = 4.5(πx²)

Area of the smallest semicircle = [tex]\frac{1}{2}\pi (2x)^{2}[/tex]

                                                    = 2πx²

Now area of he shaded region = 16πx² - [4.5(πx²) + 2πx²]

                                                    = 16πx² - 6.5πx²

                                                    = 9.5πx² mm²

If the area of the shaded region = 12πx + 14π

12πx + 14π = 9.5πx²

12x + 14 = 9.5x²

9.5x² - 12x - 14 = 0

19x² - 24x - 28 = 0

19x² - 38x + 14x - 28 = 0

19x(x - 2) + 14(x - 2) = 0

(19x + 14)(x - 2) = 0

x = [tex]-\frac{14}{19},2[/tex]

But the radius o a circle can't be negative.

Therefore, x = 2 will be the answer.

Answer: 248 boxes

Step-by-step explanation:

They produce boxes at a rate of 52 boxes an hour yet after only 3 hours they had 404 boxes.

The number they were supposed to have in 3 hours is:

= 52 * 3

= 156 boxes

They instead had 404 so the rest must have been there when they opened:

= 404 - 156

= 248 boxes

Answer:

6.45

Step-by-step explanation:

6.9-6.0=0.9

0.9÷2=0.45+6=6.45

This is the middle between 18 and 21.

Hope this helps and give brainliest, thank me and rate it 5 please. :)

Answer:6.45

Step-by-step explanation:

Answer: 70%

Step-by-step explanation:

Based on the information, we told that 14 members voted in the election and 6 did not vote. There, the total number of members is 6 + 14 = 20.

The percentage of the members that voted will be:

= 14/20 × 100

= 70%

9514 1404 393

Answer:

  138°

Step-by-step explanation:

The angles of the linear pair are supplementary.

  ∠MLO = 180° -∠MLJ = 180° -42°

  ∠MLO = 138°

Answer:

angle MLO =180° - angle MLJ =(180°-42°)= 138°

Answer:

Step-by-step explanation:

Exercise 1

16/24

Exercise 2

3:6

Exercise 3

5:3

Exercise 4

3:20

Exercise 5

10:3

Answer:

1.7 m/s

Step-by-step explanation:

1/3 mile = 536 m

1/12 hour = 5 minutes = 300 second

volecity = s/t = 536 / 300 = 1.7 m/s

9514 1404 393

Answer:

  4 miles per hour

Step-by-step explanation:

Speed is the ratio of distance to time:

  speed = miles/hours = (1/3)/(1/12) = (4/12)/(1/12) = 4/1 = 4

Mr. M's walking speed is 4 miles per hour.

Answer:

12

Step-by-step explanation:

12 times 2 = 24 + 5= 29

Answer:

19

Step-by-step explanation:

29 minus five minus five