what’s the mean of 14,9,20,5,17,13

Answer:

5x + 22y = 21

        or

5x + 22y - 21 = 0

Step-by-step explanation:

evaluate    7 = 5x+y÷3-3y​

7 = [5x + y]/[3-3y]

Don't forget 7 can also be expressed in form 7/1,

so the step to follow is using a cross multiplication technique.

we have ;

5x + y = 7(3 - 3y)

5x + y = 21 - 21y

Collect the like terms (note when the negative sign crosses over the equal to sign it changes to positive and the same thing applies to positive sign it changes to negative respectively.)

5x + y  + 21y = 21

5x + 22y = 21

5x + 22y - 21 = 0

Answer:

2x ÷ 4 = 8

Step-by-step explanation:

2x ÷ 4 = 8

2x/4 = 8

2x = 32

x = 16

Answer:

22 1/2 cakes

Step-by-step explanation:

1 cake = 1 1/3 hours

Number of cakes in 30-hour week

= 30 ÷ 1 1/3

= 30 ÷ 4/3

= 30 x 3/4

= 90/4

= 45/2

= 22 1/2

Answer: 22 1/2 cakes

Answer:

The GCF of 21 and 30 is 3.

Step-by-step explanation:

Find the prime factorization of 21

21 = 3 × 7

Find the prime factorization of 30

30 = 2 × 3 × 5

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 3

Answer:

3

Step-by-step explanation:

Factors of 21: 1, 3, 7, 21

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

The GCF is the largest factor they both have.

GCF = 3

Answer: 24 cups.

Step-by-step explanation:

Let be "x" the amount of cups of peaches  that Fred will need to make 60 cups of  fruit salad.

According to the information given in the exercise, you know that the ratio of cups of peaches to cups of cherries is the one shown below:

[tex]2:3[/tex]

Which can also be written as a fraction:

[tex]\frac{2}{3}[/tex]

Then, if he uses 2 cups of peaches and 3 cups of cherries, he will get 5 cups of fruit salad.

Knowing the above, you can set up the following proportion:

[tex]\frac{2}{5}=\frac{x}{60}[/tex]

Now you must solve for "x" in order to find its value. This is:

[tex](60)(\frac{2}{5})=x\\\\x=24[/tex]

Option C:

The value of m is 4.

Solution:

Given data:

AB = 4m – 15

BC = 5m –6

AC = 15

To find the value of m:

Using segment addition postulate,

AB + BC = AC

4m – 15 + 5m –6 = 15

Arrange the like terms together.

4m + 5m – 15 – 6 = 15

9m – 21 = 15

Add 21 on both sides of the equation,

9m = 36

Divide by 9 on both sides of the equation.

m = 4

The value of m is 4.

Option C is the correct answer.

Answer:

is 4

Step-by-step explanation:

i got it right on the test

Answer:

5x=-15

Step-by-step explanation:

8x-6x=4-10

2x=-6

x=-3

5x=-15

Answer: b

Step-by-step explanation:

Answer:

T-shirts

Step-by-step explanation:

First, find the unit price for caps. Divide 25 by 4, which equals $6.25. Then, divide 20.25 by 3, which equals $6.75. Next, divide 30 by 4, which equals $7.50. Finally, divide 32.50 by 5, which equals $6.50. To t-shirts have a unit rate of $6.50

i think the answer is t-shirts , hope this helps

Answer:

x = 5 and x = -5

Step-by-step explanation:

Given x^2 = 25, we take the square root of both sides.  The two solutions are x = 5 and x = -5

The values for x in the equation x2 = 25 are 5 and -5. These solutions are represented on a number line at points 5 and -5.

The equation x2 = 25 can be solved by taking the square root of both sides of the equation. When we take the square root of a number, we get two possibilities: a positive and a negative value, since squaring a number always results in a positive number. Therefore, the values for x in the given equation would be x = 5 and x = -5.

On a number line, these points would be represented at the 5 and -5 positions. Therefore the number line that represents all the values of x for the equation x2 = 25 is the one that includes both -5 and 5. Keep in mind that no other numbers would satisfy the equation x2 = 25.

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Answer:

Answer:

Step-by-step explanation:

Let x represent the cost of one package of tulip bulbs.

Let y represent the cost of one bag of daffodil bulbs.

Ava bought 6 packages of tulip bulbs and 12 bags of daffodil bulbs for a total of $198. This means that

6x + 12y = 198- - - - - - - - - - - - -1

Grace spent $254 buying 14 packages of tulip bulbs and 12 bags of daffodil bulbs. This means that

14x + 12y = 254- - - - - - - - - - - - 2

Subtracting equation 2 from equation 1, it becomes

- 8x = - 56

x = - 56/-8

x = 7

Substituting x = 7 into equation 1, it becomes

6 × 7 + 12y = 198

42 + 12y = 198

12y = 198 - 42

12y = 156

y = 156/12

y = 13

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Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x represent the cost of one package of tulip bulbs.

Let y represent the cost of one bag of daffodil bulbs.

Ava bought 6 packages of tulip bulbs and 12 bags of daffodil bulbs for a total of $198. This means that

6x + 12y = 198- - - - - - - - - - - - -1

Grace spent $254 buying 14 packages of tulip bulbs and 12 bags of daffodil bulbs. This means that

14x + 12y = 254- - - - - - - - - - - - 2

Subtracting equation 2 from equation 1, it becomes

- 8x = - 56

x = - 56/-8

x = 7

Substituting x = 7 into equation 1, it becomes

6 × 7 + 12y = 198

42 + 12y = 198

12y = 198 - 42

12y = 156

y = 156/12

y = 13

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Answer:

7

Step-by-step explanation:

to edge a lawn =10.he edged 4 lawn =10multiplied by 4=40

2nd. total -40=180-40=140

3rd. when he mows 1 lawn he is paid 20 what about when he is paid 140=140 divided by 20 =7

Makoto mowed 7 lawns to earn $180.

Let's denote the number of lawns Makoto mowed as m. Since he edged 4 lawns, that part of the income is 4 times $10, which sums up to $40. The total income from mowing is then $20 times the number of lawns he mowed, which is m. The equation representing Makoto's earnings is:

20m + 40 = 180

Subtracting 40 from both sides gives us:

20m = 140

Dividing both sides by 20 to solve for m gives us:

m = 7

Answer: 2 tons.

Step-by-step explanation:

1 pound = 0.0005 tons.

4,000*0.0005=2

Jasmine's rhino weighs 2 tons

Answer:

2 tons

Step-by-step explanation:

Since 1 ton is 2000 pounds, we can make a proportion:

2000lbs/1ton=4000lbs/xtons

4000lbs=2000lbs*xtons

2=tons

So Jasmine's pet rhino weighs 2 tons

Answer:

v > -1

Step-by-step explanation:

1/3(v-2) < v

Multiply both sides by 3(from 1/3) to equalize both sides.

This is equal to:

v-2 < 3v

Simplify equation:

v-2 < 3v =

-2 < 3v - v =

-2 < 2v

-1 < v

Swap sides:

v > -1

Therefore v is greater than -1.

Answer:

v > -1

Step-by-step explanation:

Simplify the left side.

Apply the distributive property.

13v+13⋅−2<v

Combine 13 and v

v3+13⋅−2<v

Combine 13 and −2

v3+−23<v

Move the negative in front of the fraction.

v3−23<v

Move all terms containing v to the left side of the inequality.

Subtract v from both sides of the inequality.

v3−23−v<0

Simplify the left side of the inequality.

−2(v+1)3<0

Multiply each term in −2(v+1)3<0 by −1

2(v+1)3>0

Multiply both sides of the equation by 3

2(v+1)>0⋅(3)

and again Simplify the left side.

Apply the distributive property.

2v+2⋅1>0⋅(3)

Multiply 2 by 1

2v+2>0⋅(3)

Multiply 0 by 3

2v+2>0

Subtract 2 from both sides of the inequality.

2v>−2

Divide each term by 2 and simplify.

Getting the conclusion where V is greater than 1

v>−1

Hope this helps

Answer:

8x^3 + 4x^2 + 4x -7

Step-by-step explanation:

Add like terms.

Answer: everything is explained in the picture

Step-by-step explanation:

Answer:

C Both relation and function.

Step-by-step explanation:

This would pass the vertical line test so it is both a relation and a function

Answer:

1200 cm is bigger. There are 100 cm in a meter. In 10 meters, there are 1000 cm. 1200 cm is longer than 1000 cm (10 meters)

Step-by-step explanation:

Answer:

There was 150 hamburgers sold on Saturday

Step-by-step explanation:

Step 1:  Make an equation

2x + x = 450

Step 2:  Solve for x

2x + x = 450

3x / 3 = 450 / 3

x = 150

Answer:  There was 150 hamburgers sold on Saturday

Final answer:

The local hamburger shop sold 150 hamburgers on Saturday. This was found by setting up a system of equations where H represents hamburgers and C represents cheeseburgers, and solving for H.

Explanation:

To determine how many hamburgers were sold on Saturday, we can set up a system of equations based on the information given:

Let H represent the number of hamburgers sold.

Let C represent the number of cheeseburgers sold.

We are told that the total number of hamburgers and cheeseburgers sold is 450, so:

H + C = 450

We also know that the number of cheeseburgers sold was two times the number of hamburgers sold, so:

C = 2H

Now we substitute the second equation into the first one to solve for H:

H + 2H = 450

3H = 450

H = 450 / 3

H = 150

Therefore, on Saturday, the local hamburger shop sold 150 hamburgers.

Answer: [tex]x=12, -2[/tex]

Step-by-step explanation:

[tex](x-5)^{2}=49[/tex]

F.O.I.L the binomial

[tex]x^2-10x+25=49[/tex]

Set to 0

[tex]x^2-10x+25_{-49} =49_{-49}[/tex]

[tex]x^2-10x-24=0[/tex]

Factor the polynomial

[tex](x-12)(x+2)[/tex]

Set to 0 and Inverse operations

[tex](x-12)=0\\x=12[/tex]

Set to 0 and Inverse operations

[tex](x+2)=0\\x=-2[/tex]

Answer:

[tex]x=12, -2[/tex]

Answer: $7.665 each, approximately $7.67 each

Step-by-step explanation:

If cost is $15.33

To be sharedby two friends will be the cost/2

15.33/2= $7.665 each

Each person should pay $5.11 to equally split the total cost of the pizza and garlic bread, which is $15.33.

The student is asking how to divide the total cost of a pizza and garlic bread, which is $15.33, evenly among three people. To calculate this, we can use simple division.

Here is the step-by-step calculation:

First, identify the total cost of the food: $15.33.

Next, determine the number of people sharing the cost, which is three.

Divide the total cost by the number of people: $15.33 ÷ 3 = $5.11.

Therefore, each person should pay $5.11 to equally split the cost of the pizza and garlic bread.

The range of the data set is 67 pounds.

The range of a data set is the difference between the maximum and minimum values. In this case, the weights of the 7 dogs are 66, 8, 12, 74, 36, 66, and 7 pounds. To find the range, we subtract the smallest value (7) from the largest value (74):

Range = 74 - 7 = 67

So, the range of the data set is 67 pounds.

Answer:

V=lwh/3

Step-by-step explanation:

Answer: 122.5 Miles.

Step-by-step explanation: This is because if you multiply 35 miles by 3.5 inches, you get 122.5 miles.

Hope this helps!

Answer:

11

Step-by-step explanation:

6 : 1

66 : X

X/66 = 1/6

X = 11

Answer:

[tex]x=-2.6[/tex]

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

just complete the whole drawing

Step-by-step explanation:

Given:

The equation of the line passes through the point (6,9) and is perpendicular to the line whose equation is [tex]4 x-6 y=15[/tex]

We need to determine the equation of the line.

Slope:

Let us convert the equation to slope - intercept form.

[tex]-6 y=15-4x[/tex]

   [tex]y=\frac{2}{3}x-\frac{5}{2}[/tex]

From the above equation, the slope is [tex]m_1=\frac{2}{3}[/tex]

Since, the lines  are perpendicular, the slope of the line can be determined using the formula,

[tex]m_1 \cdot m_2=-1[/tex]

  [tex]\frac{2}{3} \cdot m_2=-1[/tex]

      [tex]m_2=-\frac{3}{2}[/tex]

Therefore, the slope of the equation is [tex]m=-\frac{3}{2}[/tex]

Equation of the line:

The equation of the line can be determined using the formula,

[tex]y-y_1=m(x-x_1)[/tex]

Substituting the point (6,9) and the slope [tex]m=-\frac{3}{2}[/tex] in the above formula, we get;

[tex]y-9=-\frac{3}{2}(x-6)[/tex]

Simplifying the terms, we get;

[tex]2(y-9)=-3(x-6)[/tex]

[tex]2y-18=-3x+18[/tex]

[tex]3x+2y=36[/tex]

Thus, the equation of the line is [tex]3x+2y=36[/tex]

The equation of a line that is perpendicular to the line 4x - 6y = 15 and passes through the point (6,9) is 3x + 2y = 36. This is because the slope of the new line is the negative reciprocal of the slope of the given line, and the line passes through the given point (6,9).

The subject of this question is mathematics, specifically in the topic of linear equations. To find the equation of a line that is perpendicular to a given line and passes through a certain point, we first need to find the slope of the given line. The standard form of the equation of a line is Ax + By = C. The given line is 4x - 6y = 15. We can find its slope by taking the negative reciprocal of the coefficient of x (A) over the coefficient of y (B), so the slope of the given line is -4/-6 = 2/3. Since we want a line that is perpendicular to the given line, the slope of the line we are looking for would be the negative reciprocal of the slope of the given line, which would be -3/2, because perpendicular lines have slopes that are negative reciprocals of each other. Using the point-slope form of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point, the equation of the line we are looking for is y - 9 = -3/2(x - 6), which simplifies to 2y - 18 = -3x + 18 and further simplifies to 3x + 2y = 36. So the answer is none of the given options.

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Answer: A/5+30*5

Step-by-step explanation:

Gross profit is $44,000 and Net profit is $32,000

Step-by-step explanation:

Given :

Gross profit :

Gross Profit = Total income - Cost of goods sold

⇒ $86,000 - $42,000

⇒ $44,000

⇒ Gross profit is $44,000

Net profit :

Net profit = Gross profit – Total Expenses

⇒ $44,000 - $12,000

⇒ $32,000

⇒ Net profit is $32,000