Which steps are needed to solve this equation? . b + 6 = 21 Subtract 6 from both sides of the equation. The answer is b = 15. Check the solution by substituting 15 for b. Subtract 6 from the left side and add 6 to the right side of the equation. The answer is b = 27. Check the solution by substituting 27 for b. Add 6 to both sides of the equation. The answer is b = 27. Check the solution by substituting 27 for b. Add 6 to the left side and subtract 6 from the right side of the equation. The answer is b = 15. Check the solution by substituting 15 for b.

Answer:

The answer is B. 75 m2

Answer:

Its B

Step-by-step explanation:

you have helped me now I will help uou

Answer:

a = 3

Step-by-step explanation:

6(a+3)=2a+30

Distribute

6a + 18 = 2a+30

Subtract 2a from each side

6a + 18 -2a= 2a+30-2a

4a  +18 =30

Subtract 18 from each side

4a+18-18 = 30-18

4a = 12

Divide each side by 4

4a/4 = 12/4

a = 3

Answer:

x > 5

Step-by-step explanation:

-4-5x < -29

Add 4 to each side

-4+4-5x < -29+4

-5x < -25

Divide by -5, remembering to flip the inequality since we are dividing by a negative

-5x/-5 > -25/-5

x > 5

Answer:

Step-by-step explanation:

10) Cos (x-y) = cos x cos y + sin x sin y

cos 4x cox 3x + sin 4x sin 3x = Cos (4x - 3x)

  = cos x

11) = 2*(1² + 2) + 2*(2² + 2²)

  = 2*3 + 2*(4+4)

= 6 + 2*8

= 6 + 16

= 22

12) (3) 4x² - 3x  - 8 = 0

Reason:  

Sum of roots = - Coefficient of x/coefficient of x² = -(-3)/4 = 3/4

Product of roots = constant / coefficient of x² = -8/4 = -2

Answer:

The second graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(x+6)( x^2 -2)

Step-by-step explanation:

x^3 +6x^2 -2x-12

We can factor by grouping

x^3 +6x^2      -2x-12

Factor x^2 out of the first group      and -2 out of the the second group

x^2 (x+6)  -2 (x+6)

Now factor out (x+6)

(x+6)( x^2 -2)

Answer:

1 1/7

Step-by-step explanation:

Subtracting a negative is adding

4/7 +4/7

8/7

Changing to a mixed number

1 1/7

Answer:

1 1/9 ft³

Step-by-step explanation:

Volume of rectangular prism = L×W×H

3/3 × 2/3 × 5/3 = 30/27 = 1 3/27 = 1 1/9.

Answer:

TRUE

Step-by-step explanation:

x=3

4x + 2 = 14

4(3)+2=14

12+2=14

14=14

Answer:

141.89526818714 cubic inches

Step-by-step explanation \

Vm = Volume of the men's basketball

Vm = (4/3)*pi*r^3

Vm = (4/3)*pi*(5)^3 ... diameter = 10 --> radius = 10/2 = 5

Vm = 523.598775598299 cubic inches

Vw = Volume of the women's basketball

Vw = (4/3)*pi*r^3

Vw = (4/3)*pi*(4.5)^3 ... diameter = 9 --> radius = 9/2 = 4.5

Vw = 381.70350741116 cubic inches

Difference in volume = Vm - Vw

Difference in volume = 523.598775598299 - 381.70350741116

Difference in volume = 141.89526818714 cubic inches

This result is approximate

Answer:

141.9 in.3

Step-by-step explanation:

Just did the assignment on edge2020

Answer:

21.429 grams per day

Step-by-step explanation:

15g times 10 =150g

150g/7 =21.429g per day

Final answer:

A bird that eats 10 times its weight in food per week, with a weight of 15 g, consumes approximately 21.43 g of food per day.

Explanation:

If a bird weighing 15 g eats 10 times its weight in food in a week, we first calculate the total amount of food the bird eats in a week and then divide that by 7 to find the daily intake.

First, we calculate the weekly food consumption:

The bird's weight = 15 g

Total weekly food intake = 15 g × 10 = 150 g

Daily food intake = Total weekly intake ÷ 7

Daily food intake = 150 g ÷ 7 ≈ 21.43 g

Therefore, the bird eats approximately 21.43 grams of food per day.

Answer:

less likely

Step-by-step explanation:

Lower probability = lower chance to happen

0.3 is less than 0.4

Answer:

2nd

less likely

Step-by-step explanation:

Answer:

Discriminant is -36 and the number of real solution and its 2 imaginary solutions.

Step-by-step explanation:

Answer:

M = 84

Step-by-step explanation:

Opposite angles in a quadrilateral inscribed in a circle are supplementary

R+ M = 180

96+ M = 180

Subtract 96 from each side

96-96+M = 180-96

M =84

Answer:

Step-by-step explanation:

8

Answer:

100

Step-by-step explanation:

If you add 100 to both sides, you get "x^2-20x+100," which simplifies to (x-10)^2

Answer:

c 53/72

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

the sun

Step-by-step explanation:

Answer:

Today we have technology that allows us to capture the sun's free and unlimited energy. The United States should focus its research & development efforts to make solar energy our country's main energy source by the year 2050. Solar energy is a renewable source because of the sun, and it does not produce any waste products. We are able to use solar panels & other devices to create renewable electricity for just about anywhere. It is safer and cleaner than other resources. We should seek to do this throughout the whole country so it can help our environmental status and solve the problem of running out of limited resources.

Step-by-step explanation:

got 100% on edg2021

Using the original scale of 2 inches = 5 feet, the living room is 20 feet wide. With the new scale of 1 inch = 44 feet, the width of the living room on the new blueprint would be 2.2 inches.

To solve this problem, one must first determine the actual width of the living room using the original scale. According to the original scale, 2 inches represent 5 feet. This would mean that the actual width of 8 inches would represent (8 / 2) * 5 = 20 feet. Now, set up a proportion with the new scale, which is 1 inch = 44 feet. If x is the width on the new blueprint, we would have x / 44 = 1 / 20, solving for x gives us x = 44 / 20 = 2.2 inches. Therefore, the width of the living room on the new blueprint would be 2.2 inches.

https://brainly.com/question/29011258

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Answer:

D

Step-by-step explanation:

Since this is right triangle, we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse.

14 and 16 are the legs, because they form the right angle. x is the hypotenuse, because it is opposite the right angle.

14^2+16^2=x^2

Evaluate the exponents

196+256=x^2

Add

452=x^2

To get this is simplest radical form, find the greatest square root that divides evenly into 452

4 is the greatest square root. 4 times 113 equal 452

So, we have

[tex]\sqrt{4}\sqrt{113}[/tex]

Take the square root of 4

2[tex]\sqrt{113}[/tex]

So, choice D is correct.

Answer:

13x+2

Step-by-step explanation:

4x + 1

4x + 1

3x

2x

-----------

= 13x + 2

Answer: i got −5s^3+2s^2−s−9

Step-by-step explanation:

Missing part of the question

- 10 in, by 12 in. by 24 in.

- 12 in. by 15 in. by 18-in.

- 10 in. by 16 in. by 20 in.

- 12 in. by 12 in. by 20 in.

Answer:

The possible dimensions of the container are

- 10 in, by 12 in. by 24 in

- 12 in. by 12 in. by 20 in

Step-by-step explanation:

Given

Volume of the container = 2,880 cubic inches

Required

Possible dimensions of the container

To solve this question, the following assumption has to be made;

It'll be assumed that the container is a rectangular

To calculate the volume of a rectangular figure, we simply multiply the dimensions of the figure,

This implies that; we'll test each of the given options.

Which ever gives 2,880 is the right answer.

- 10 in, by 12 in. by 24 in.

[tex]Volume = 10 in * 12 in * 24 in[/tex]

[tex]Volume = 2,880[/tex] cubic inches

- 12 in. by 15 in. by 18-in.

[tex]Volume = 12 in * 15 in * 18 in[/tex]

[tex]Volume = 3,240[/tex] cubic inches

- 10 in. by 16 in. by 20 in.

[tex]Volume = 10 in * 16 in * 20 in[/tex]

[tex]Volume = 3,200[/tex] cubic inches

- 12 in. by 12 in. by 20 in.

[tex]Volume = 12 in * 12 in * 20 in[/tex]

[tex]Volume = 2,880[/tex] cubic inches

From the calculation above, only option A and D gives 2,880;

Hence, the possible dimensions of the container are

- 10 in, by 12 in. by 24 in

- 12 in. by 12 in. by 20 in

Given a volume of 2,880 cubic inches, one possible set of dimensions for a shipping container could be length = 24 inches, width = 15 inches, and height = 8 inches.

The volume of a rectangular container can be calculated by multiplying its length, width, and height. Given the volume of 2,880 cubic inches, we are looking for three numbers (dimensions) that, when multiplied together, equal 2,880.

One possible set of dimensions could be length = 24 inches, width = 15 inches, and height = 8 inches. Multiplying these dimensions together: 24 inches × 15 inches × 8 inches = 2,880 cubic inches, which matches the given volume of the container.

Answer:

a). The volume of the pyramid on the left is greater by 2 inches cubed.

Step-by-step explanation:

The volume of a rectangular based pyramid is

V = [tex]\frac{1}{3}[/tex] w b h

Where w, and b are the lengths of the base of the pyramid, and h is the height of the pyramid

Substitute the values given for both pyramids into the equation, and solve for V

Left Pyramid:

V = [tex]\frac{1}{3}[/tex] w b h

V = [tex]\frac{1}{3}[/tex] * 7 * 6 * 3

Volume of Left Pyramid = 42 [tex]inches^{3}[/tex]

Right Pyramid:

V = [tex]\frac{1}{3}[/tex] w b h

V = [tex]\frac{1}{3}[/tex] * 4 * 3 * 10

Volume of Right Pyramid = 40 [tex]inches^{3}[/tex]

Subtract the two volumes to find the difference in volume

42 - 40 = 2 [tex]inches^{3}[/tex]

Answer:

The volume of the pyramid on the left is greater by 2 inches cubed.

Step-by-Step Explanation

Answer:

c

Step-by-step explanation:

39-15=24

24+15=39

Answer:

the answere is 100

Step-by-step explanation:

Answer:[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

Given

There are integer between 3 and 14 available to be chosen (total 12 integers)

Prime integers among them

3,5,7,11,13 i.e. total of 5 prime integers

So the probability that the number chosen is not Prime

[tex]=1-P\text{(no is prime)}[/tex]

[tex]=1-\frac{5}{12}[/tex]

[tex]=\frac{12-5}{12}[/tex]

[tex]=\frac{7}{12}[/tex]

Answer:

325

Step-by-step explanation:

100*3.25=325

Answer:

325

Step-by-step explanation:

Multiply $3.25 by the pennies worth; $3.25 x 0.01 = 325