3x = -21
{please put the answer in step by step bc i never understood this :( }

If x is the largest of the three consecutive integers, then the three consecutive integers can be represented as x-1, x, and x+1.

The sum of these three consecutive integers is:

(x-1) + x + (x+1)

Simplifying the expression, we get:

3x

Therefore, the expression in terms of the given variables that represents the sum of three consecutive integers when x is the largest is 3x.

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Answer:

0.2 kg per meter

Step-by-step explanation:

5÷25=0.2

The integers that are closest to the number in the middle in the inequality x < √82 < y are x = 9 and y = 11.

To find the integers x and y that satisfy the inequality x < √82 < y, we need to find the two integers that are closest to the square root of 82.

First, we know that the perfect square that is less than 82 is 81, which is equal to 9². Therefore, we can say that 9 < √82.

Next, we need to find the next closest integer to the square root of 82. To do this, we can calculate the square of 10 and the square of 11, which are 100 and 121, respectively. Since 82 is closer to 81 than to 100, we can say that √82 < 10.5.

Therefore, x = 9 and y = 11 are the integers that satisfy the inequality x < √82 < y.

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The question is -

Complete the following statement. Use the integers that are closest to the number in the middle. x < √82 < y, find x and y.

Answer:

(h)=h*19.625

Step-by-step explanation:

start by dividing the diameter by 2 to get the radius:

radius=2.5

the area of a circle is calculated with the formula pi*r^2

solve using our radius to get the area:

area of base= 19.625

using this, we can get our function:

(h)=h*19.625

Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

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Answer:

(33/5 , -3/10)

Step-by-step explanation:

The domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0. Then the correct option is C.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = 2x – 41

Then the domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0.

Then the correct option is C.

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Step-by-step explanation:

hope it is helpful to you

Answer:

solution given;

\( \sqrt{3x + 13} = \sqrt{6x + 1} \)

3х + 13 = 6х +1

13-1=6x-3x

3x=12

x=\( \frac{12}{3} \)=4

x=4

Cindy spent a total of $128.09 on ingredients for pies. She will be able to make 18 slices of pie with this amount of ingredients.

1. Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies.

2. Add the two amounts together: $65.25 + $62.84 = $128.09

3. Each slice of pie sells for $3.50.

4. Divide the total spent on ingredients by the cost of a slice of pie: $128.09 / $3.50 = 18 slices of pie.

the complete question is :

Cindy spent $65. 25 on ingredients for blueberry pies and $62. 84 on

ingredients for cherry pies. Each slice of pie sells for $3. 50.How much did Cindy spend on ingredients for blueberry and cherry pies, and how many pies can she make from that?

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Answer:

Step-by-step explanation:

x/(67.2-32)=81.9/67.2

x/35.2=81.9/67.2

x=2882.88/67.2

x=42.9 m

Answer:

a) 24

b) 15

Step-by-step explanation:

2/5 × 60

Multiply.

120/5

= 24

1/4 × 60

Multiply.

60/4

= 15

Answer:

\(a)24 \\ b)15\)

Step-by-step explanation:

\(a) \frac{2}{5} \times 60 \\ \frac{120}{5} \\ = 24 \\ b) \frac{1}{4} \times 60 \\ \frac{60}{4} \\ = 15\)

The area A of the region between the graph of f and the x-axis on [-1, 1] is 1/2.

To find the area A of the region between the graph of f and the x-axis on [-1, 1], we need to evaluate the definite integral of f(x) with respect to x over the interval [-1, 1].

Since f(x) is defined differently for x < 0 and x ≥ 0, we split the integral into two parts:

For x < 0: ∫[-1, 0] -x dx = [-x^2/2] from -1 to 0 = 0 - (-1/2) = 1/2.

For x ≥ 0: ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3 - 0 = 1/3.

Using the Addition Property, we add the two parts together: A = 1/2 + 1/3 = 3/6 + 2/6 = 5/6.

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Answer:

Step-by-step explanation:

On her map 1 inch is equal to 20 miles.

5x=100

divide both sides by 5

x=20

Answer: C

Step-by-step explanation:

For our unknown value x, the opposite side = 10 and the adjacent side = 18, using this information you can use SOH CAH TOA.

TOA refers to opposite over adjacent, which would be

tan x = 10/18.

Hope this helps!

Answer:

25

Step-by-step explanation:

The smaller triangle is constructed by joining the 3 midpoints. Every line in that smaller triangle is parallel and 1/2 the size of the line not joined by the 2 given midpoints.

In this case 1/2 AC = 1/2 * 50 = 25

The length of DF = 25

Answer:

Step-by-step explanation:

Let the number of pounds is x.

Consider the time for preheat and set the equation:

Solve for x to find the weight:

Let the no of lbs be p

The equation is

On solving

Answer:

44/5+3 2/10- 1 1/5= 44/5 + 3 1/5 - 11/5 = 44/5+ 16/5- 1 1/5 44/5+16/5-6/5 44/5+2 54/5=54/5 which equals 10 4/5 is your answer I hope this helped you! (;

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the decreasing part is where is line goes downward. So it's A

The total time required taken by the bell to ring 20 times is equal to 180 seconds, or 3 minutes.

If it takes the bell 90 seconds to ring 10 times, we can calculate the average time it takes for each ring,

Average time per ring

= Total time / Number of rings

= 90 seconds / 10 rings

= 9 seconds per ring

To find out how long it will take the bell to ring 20 times,

we can multiply the average time per ring by the number of rings,

Time to ring 20 times

= Average time per ring × Number of rings

= 9 seconds per ring × 20 rings

= 180 seconds

Therefore, it will take the bell 180 seconds, or 3 minutes, to ring 20 times.

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Answer:

DOC = 70

BOC = 110

AOD = 110

Step-by-step explanation:

AOB is supplementary to BOC and AOD, which means together they equal 180. 180-70=110, so BOC and AOD are both 110.

AOB and DOC are vertical angles to each other, so are AOD and BOC. Vertical angles are always equal to each other. So since AOB is 70, so is DOC.

Hope this makes sense:)

Answer:

  73 : 27

Step-by-step explanation:

You want the ratio of students that have a pet to students that don't have a pet, given that 73% of students have a pet.

If 73% of students have a pet, then the remaining 100% -73% = 27% of students do not have a pet.

The ratio of students who have a pet to students who don't have a pet is then ...

  (have a pet) : (don't have a pet) = 73% : 27% = 73 : 27

According to a recent survey, 73% of elementary school students have a pet, making the ratio of students with pets to those without pets 73:27.

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

You want the ratio of students that have a pet to students that don't have a pet, given that 73% of students have a pet.

If 73% of students have a pet, then the remaining 100% -73% = 27% of students do not have a pet.

The ratio of students who have a pet to students who don't have a pet is then,(have a pet) : (don't have a pet) = 73% : 27% = 73 : 27

A recent survey found that 73% of elementary school students own a pet, making the proportion of students who own pets to those who don't stand at 73:27.

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Answer:

1) C

Step-by-step explanation:

Step 1)

First we have to plot ↓

2x ≥ y + 2

And that looks like Image 1

Step 2)

Second we have to plot ↓

2x - 5y ≤ 10

and that looks like Image 2

Answer:

= 30m

Step-by-step explanation:

to find the length of the fence, find the perimeter of the triangle.

that is b + h + hyp assuming b is the base, h is height and hyp is hypotenuse.

we have the base; height and hypotenuse are not given.

to get the height,

area(A) = 30m2

base(B) = 12m

height(H) = ?

A = 0.5 x B x H

30m2 = 0.5 x 12m x H

30m2 = 6m x L

H = 30m2 / 6m

H = 5m

to get the hypotenuse,

we have to complete the Pythagorean family the base ,12, and height, 5. is in.

formula = a2 + b2 = c2, c is the hypotenuse, a and b can be interchanged either way with base and height.

             = (12 x 12) + ( 5 x 5) = c2

             = 144 + 25 = c2

             = 169 = c2

        c2 = 169

        c = 13

perimeter = b + h + hyp

                = 5 +12 + 13

                 = 30m

The work done to move the box is approximately 182.12 Joules.

To find the work done in joules to move the box, use the formula:

Work = Force × Distance × cos(θ)

Where:

- Force is the magnitude of the constant force applied (41.5 N),

- Distance is the distance traveled by the box (5 m), and

- θ is the angle between the force and the direction of motion (28 degrees).

Let's calculate the work done:

Work = 41.5 N × 5 m × cos(28 degrees)

Using a calculator, we can evaluate cos(28 degrees) which is approximately 0.88295.

Work = 41.5 N × 5 m × 0.88295

Work ≈ 182.12 Joules

Therefore, the work done to move the box is approximately 182.12 Joules.

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A heptagon is a seven-sided polygon. It is also sometimes called a septagon, though this usage mixes a Latin prefix sept- (derived from septua-, meaning "seven")

Polygon Formula

The important polygon formulas are: The sum of interior angles of a polygon with “n” sides =180°(n-2) Number of diagonals of a “n-sided” polygon = [n(n-3)]/2. The measure of interior angles of a regular n-sided polygon = [(n-2)180°]/n.

with the Greek suffix -gon (from gonia, meaning "angle"), and is therefore not recommended

This polygon has 7 sides

heptagon is a seven sided polygon

decagon is a ten sided polygon

dodecagon is a 12 sided polygon

hexagon is a six sided polygon

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