Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-1,7) and (9, -3).

Charles spent 60 hours picking up litter if each student spent the same amount of time.

According to the question,

We have the following details:

Charles and 7 other students spent a total of 480 hours picking up litter last year.

So, the total number of students including Charles are 8.

8 persons = 480 hours

So, we have to find time spent in hours for 1 person:

1 person = 480/8 hours

1 person = 60 hours

So, this one person can be any eight of them including Charles.

Hence, Charles spent 60 hours picking up litter last year with other 7 students.

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The height of building ramp is h = 2 foot.

The base of the building ramp is b = 4 foot.

The code for new bulding is,

Let the new base be x for new building code and height remain same h = 2.

So Carrie increase the base from 4 foot to 8 foot.

Detemine the adjustment in base.

Thus Carrie increase the base by 4 foot to meet the new code for the building.

The  inequality to represent the acceptable length of the lumber is x ± 0.125 inches.

What is an inequality ?

The occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different people and in various settings, the word "inequality" may indicate different things.

Let the lengths she cuts the lumber  be x.

Therefore according to the question,

x ± 0.125 inches

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Answer:

4.21x+2.72

Step-by-step explanation:

(-1.41x - 0.01) + (5.62x + 2.73)

Combine like terms

-1.41x+5.62x     -0.01+2.73

4.21x+2.72

Answer:

4.21x + 2.72

Step by step explanation:

( - 1.41x - 0.01 ) + ( 5.62x + 2.73 )

First solve the brackets.

- 1.41x - 0.01 + 5.62x + 2.73

Combine like terms.

-1.41x + 5.62x - 0.01 + 2.73

4.21x + 2.72

Answer:

Parallel to x+y=6

x+y-x=6-x

y=-x+6

y=mx+b

Slope: m=-1

As the line is parallel must have the same slope:

m=-1

And it passes through the origin, then b=0

y=mx+b

y=(-1)x+0

y=-x

In standard form:

y+x=-x+x

x+y=0

Answer: The equation of the line, in standard form, that passes through the origin and is parallel to x+y=6 is x+y=0

Step-by-step explanation:

Distance formula:

where (x1, y1) and (x2, y2) are the points of interest. Replacing with R(0, 1) and S(6, 3.5):

The ordered pairs A. (−6, −14) and B. (−1, −7) in the form (x, y) are solutions to the equation 7x-5x=28.

A pair is considered to be ordered when two elements are written inside parantheses and are separated by a comma. The ordered pair (x, y), for instance, is represented by the notation (x, y), where 'x' is referred to as the first element and 'y' as the second element.

Depending on the context in which they are used, these elements—which can either be variables or constants—have different names. In a pair of elements that are ordered, the elements' order is somewhat significant. This indicates that (x, y) might not always be equal to (y, x).

We have given the equation 7x – 5y = 28

we know that a ordered pair (x,y)  must satisfy the equation

So let us do trial and error method

A. (−6, −14)

7(-6) – 5(-14) = 28

-42 + 70 = 28

28 = 28

ordered pair (−6, −14) in the form (x, y) satisfy for 7x – 5y = 28

B. (−1, −7)

7(-1) – 5(-7) = 28

-7 + 35 = 28

28 = 28

ordered pair (−1, −7) in the form (x, y) satisfy for 7x – 5y = 28

C. (4, 10)

7(4) – 5(10) = 28

28 - 50= 28

22 ≠ 28

ordered pair (4, 10) in the form (x, y) doesn't satisfy for 7x – 5y = 28

D. (7, 9)

7(7) – 5(9) = 28

49 - 45= 28

4 ≠ 28

ordered pair (7, 9) in the form (x, y) doesn't satisfy for 7x – 5y = 28

Thus, the ordered pairs A. (−6, −14) and B. (−1, −7) in the form (x, y) are solutions to the equation 7x-5x=28.

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Full question

Which ordered pairs in the form (x, y) are solutions to the equation 7x – 5y = 28?

Choose all answers that are correct.

A. (−6, −14)

B. (−1, −7)

C. (4, 10)

D. (7, 9)

Answer: 1 because 3 take away 2 you have 1 lol

Step-by-step explanation:

Answer:1

Step-by-step explanation:

You simply subtract 3-2=1

Hopes this helps

Using the long division method we get the answer for 514/28 as 18.216 as the quotient and 17344 as the remainder.

Given the expression is 514/28

Following are the steps to use the long division method.

Step 1: Find the appropriate integer to divide the supplied value by.

Step 2: To determine the amount to be removed from the payout, multiply the integer (quotient) and divisor.

The third step is to deduct the amount from the dividend.

Step 4: Subtract the remainder and any additional digits from the dividend.

28 | 514.00 00 00 |18.216

18 | 504

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

462 | 10 00

+  2 | 924

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

4641 | 7600

+    1 | 4641

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

46426 | 295900

+      6 | 278556

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                17344

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Hence we get the required answer.

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Answer:

I think it is 12

Step-by-step explanation:

(a) The total installment price is $5256  .

(b) The carrying charges is $1256 .

(c) The number of months needed to save the money at the monthly rate to buy the car for its cash price is  28 months .

In the question,

it is given that

Price of the car in cash = $4000

amount to be paid as installment per month = $146

time for installment = 36 months

Part(a)

the total installment price can be calculated using the formula

total price = (per month installment) * (number of months)

Substituting the values , we get

total price = 146*36

= 5256

So , total installment price = $5256

Part(b)

the carrying charges can be calculates using the formula

carrying charges = total installment price - price in cash

Substituting the values ,we get

carrying charges = 5256-4000

= 1256

So, carrying charges = $1256

Part(c)

the number of months needed to save the money at the monthly rate to buy the car for its cash price , can be calculated using the formula .

number of months = (price in cash)/(monthly rate)

= 4000/146

= 27.39

rounding , we get

≈ 28

number of months = 28 months

Therefore , (a) The total installment price is $5256  .

(b) The carrying charges is $1256 .

(c) The number of months needed to save the money at the monthly rate to buy the car for its cash price is  28 months .

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Answer:

"Compare each of the following pair of improper fractions." WHERE ARE THE PAIRS? i need then to solve?

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The final value for the expression

[tex]m^{7}[/tex] ÷ m² is [tex]m^{5}[/tex]

n³ x n³ x n³ =  [tex]n^{9}[/tex]

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]m^{7}[/tex] ÷ m²

= [tex]m^{7}[/tex] / m²

= [tex]m^{7-2}[/tex]

= [tex]m^{5}[/tex]

n³ x n³ x n³

= [tex]n^{3+3+3}[/tex]

= [tex]n^{9}[/tex]

Thus,

The final value for the expression

[tex]m^{7}[/tex] ÷ m² is [tex]m^{5}[/tex]

n³ x n³ x n³ =  [tex]n^{9}[/tex]

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We need to reflect the given quadrilateral across the x-axis.

When we reflect a point across the x-axis, we need to negate the y-coordinate and leave the x-coordinate the same

The point of the given quadrilateral are:

(5,-2)

(2,-4)

(4,-8)

(7,-5)

When we reflect these points on the x-axis, the new points are:

(5,-(-2) = (5,2)

(2,-(-4)=(2,4)

(4,-(-8) =(4,8)

(7,-(-5)=(7,5)

Answer:

$7.03

Step-by-step explanation:

3 times .89 equals 2.67. 4 times 1.09 equals 4.36. Add 2.67 and 4.36 then you get 7 dollars and 3 cents.

Answer:

7.03

Step-by-step explanation:

3 x 0.89 = 3.27

3.27 + (4 x 1.09) = 7.03

therefore without tax, Ramon would be spending $7.03

hope this helped

have a great day ^^

Answer

a = 0

Explanation

a + 5 = -5a + 5

We will bring the terms with a togther and the terms without together

a + 5 = -5a + 5

a + 5a = 5 - 5

6a = 0

Divide both sides by a

(6a/6) = (0/6)

a = 0

Hope this Helps!!!

Given:

• x - 3 = x + 3

Let's solve the equation above

x - 3 = x + 3

x - x = 3 + 3

0 = 6

Therefore, since 0 = 6, we can say the equation has no solution.

Equation 2:

-4x - 8 = 4x + 8

Let's solve the equation.

-4x - 4x = 8 + 8

-8x = 16

Divide both sides by -8:

Since x = -2, we can say the equation has one solution

ANSWER:

a) No solution

b) One solution

Answer:

Step-by-step explanation:

-2/5 +4/3

Find common denominator

-2/5; so 5x3=15 4/3; so 3x5=15

what you do to the bottom you must do to the top

-2x3=-6 and 4x5=20

your new fractions would be;

-6/15 + 20/15=

14/15

The expression can be written as

What is an expression?

An expression, often referred as a mathematical model, is a continuous collection of signs that are well-formed in accordance with context-dependent principles. Numbers (predictor variables), parameters, processes, functions, brackets, capitalization, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of actions and other features. In algebra, a value might well be designated by an expression; this value may rely on the values given to the variables that the expression contains. The semantics associated with the symbols in the expression determine this value. The expression's development gains which meaning to use. It is unclear if two λ expressions are equivalent. The idioms used to represent hard figures are the same way.

The expression is

7/9Z-6/9Z-4+5/9Z-7

= (7-6-36Z+5-63Z)/9Z

= (6-99Z)/9Z

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Answer:

y = - 5x

Step-by-step explanation:

given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = - 10 when x = 2 , then

- 10 = 2k ( divide both sides by 2 )

- 5 = k

y = - 5x ← equation of variation

From the deposit slip

The amount on each check is

Check #162 = $123.51

Check #234 = $211.00

Check #521 = $214.14

The summation of the amount on each check is\

T

Answer: $521.24

Step-by-step explanation:

The rule of the function g (x) will be;

⇒ g (x) = - x + 3

What is mean by Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

g (x) is the indicated transformation of f (x).

The rule of f (x) is,

f (x) = - x + 5 ; horizontally translation 2 units left.

Now,

The rule of f (x) is,

f (x) = - x + 5 ; horizontally translation 2 units left.

Since, g (x) is the indicated transformation of f (x).

So, g (x) = f (x + 2)

Hence, We get;

g (x) = - (x + 2) + 5

      = - x - 2 + 5

      = - x + 3

Thus, The rule of the function g (x) will be;

⇒ g (x) = - x + 3

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Answer:

The "n" side

The "n" side is opposite of angle N

The largest angle is the ∠ XZY and the the smallest angle is ∠ XYZ.

Given:

A triangle XYZ is shown with sides :-

XY = 16

YZ = 9

XZ = 8

We have to find the largest angle and the smallest angle.

We know that,

The angle opposite to the largest side is the largest angle and the angle opposite to the smallest side is the smallest angle.

We have, largest side = XY = 16

Angle opposite to XY is ∠ XZY.

Hence,

∠ XZY is the largest angle.

Also,

We have, smallest side = XZ = 8

Angle opposite to XZ is ∠ XYZ.

Hence,

∠ XYZ is the smallest angle.

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The situation can be represented by the equation y = 3x

A) How to write an equation for the situation

The given parameters are

Total amount = $30

Cost of bag of popcorn = $5 each

Cost of each drink = $2.5

[tex]Y=\frac{30-5\times X}{2.5} =12-2\times X[/tex]

Let the bag of popcorn be x and the number of drinks be y

5·X + 3·Y = 30

3·Y = 30 - 5·X

[tex]Y=\frac{30-5\times X}{2.5} =12-2\times X[/tex]

Y = 12 - 2·X

The point corresponding to the y-intercept is the point that gives the

maximum number of drinks Judy can buy if she does not buy popcorn is

12 drinks. The number of drinks she can buy reduces by 2 for each bag of popcorn she buys, such that she can buy 6 bags of popcorn and no drinks which is the x-intercept.

Using the above equation, the graph of popcorn and drinks bought by

Judy is plotted with MS Excel and attached here

Answer:

x ≥ -14

Step-by-step explanation:

Hello!

The equation is 18.1(2x + 3) ≥ -452.5

The inequality is true for all values of x greater than or equal to -14.

You will make an amount  of $58868 in four years

The given parameters are

Salary, a = $52,000

Raise, r = 3.15%

Number of years, n = 4

The above parameters is an illustration of an exponential function

An exponential function is represented as

A(n) = a * (1 +r)^n

Where a, r and n represents the parameters stated above

So, we have

A(4) = 52000 * (1 +3.15%)^4

Evaluate the sum

A(4) = 52000 * 1.0315^4

Evaluate the products

A(4) = 58868

Hence, the amount in four years is $58868

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Answer:

9 and 10

Step-by-step explanation:

39/4 equals 9.75, meaning it is in between 9 and 10

Answer:

0.8

Explanation:

We use the long division table to find the decimal equivalent of 4/5.

In the long division table:

• Write the denominator (the one below) outside

• Write the numerator (the one above) inside

The table is attached below:

Therefore, the decimal equivalent of 4/5 is 0.8.