Reid's Hardware discounts all riding lawnmowers 9% to customers paying in cash. If Trey paid $1,517.74 in cash for a riding lawnmower, which of the following equations can be used to determine the original price of the lawnmower?

(Let x represent the original price of the lawnmower and y represent the discounted price.)
A.
y = 1.09x
B.

y = 0.91x
C.
y = 1.9x
D.
y = x - 9x

Answer:

Y = 2x+8

Step-by-step explanation:

Y=mx=b equations

The inequality expression given as -x/3 < 5 has a solution of x > -15

From the question, the inequality is given as

-x/3 < 5

The above inequality can be re-written as follows

-x/3 < 5

There is no constant to add or subtract in the expression

So, we start by multiplying both sides of the expression by a constant

Multiply both sides by 3

expression

-x < 15

Divide both sides by -1

So, we have the following representation

x > -15

Hence, the solution to the expression is x > -15

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Answer:i had forgot

Step-by-step explanation:

Answer:4

Step-by-step explanation:

u add den subtract den divide then there

Answer:

P = 10

Q=12

[tex]p = \frac{1}{q} [/tex]

a). p = 1/2 = 0.5

b). 1.25 = 1/Q

Q = 1/1.25 Q = 0.8

Answer:

P=6

Q= 9.6

Step-by-step explanation:

A)

y=k/x

substitute it in.

10=k/1.2

10×1.2=k

k=12

y=12/x

x=2

12/2=6

P=6.

B)

Since we know y=kx

we know k=12

you would do 12/1.25 to give u Q

12/1.25=9.6

Answer:

v = -6

Step-by-step explanation:

½v + 8 = 3 - ⅓v

Collect like terms

½v + ⅓v = 3 - 8

⅚v = -5

Divide both sides by ⅚

⅚v/⅚ = -5/⅚

v = -5 × 6/5

v = -30/5

v = -6

Answer: D

Step-by-step explanation:

5 x 3 = 15

8 x 3 = 24

the multipliers are both 3

so they are "similar shapes".

The other options don't have the same multipliers so they aren't right :)

The different arithmetic progression is [tex]11, 18, 25[/tex] and the rule is to add [tex]7[/tex].

What is an arithmetic progression?

A series of numbers known as an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

We have,

                      [tex]8, 11, 13, 18, 25, 37[/tex]

Given arithmetic progression is  [tex]8, 13, 18[/tex]  and the constant difference is [tex]5[/tex].

By using this phenomenon we can create new arithmetic progression like,

                                             [tex]11, 18, 25[/tex]

Here the constant difference or rule is [tex]7[/tex].

Hence the new and different arithmetic progression is [tex]11, 18, 25[/tex].

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Answer:

13

Step-by-step explanation:

416/96 = 4.33333

416 is 4.333 times 96, so he needs 4.333 times 3 bundles.

4.3333 × 3 = 13

Answer: 13

Answer:

13

Step-by-step explanation:

you see how much it covers initially. (96/3=32) then 416/32=13

Answer:

12% of men are left handed.

Step-by-step explanation:

Percent of men who are left handed =

325×100=3×4=12 3 25 × 100 = 3 × 4 = .

                  12%

I hope this helps!

The value of 'r' is 15 cm. Then the volume of the frustum will be 2625 cm³.

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

By the similar triangle, then the value of r is calculated as,

r/30 = 20/40

r = 15 cm

Then the volume of the frustum is calculated as,

V = 1/3 × (30/2)² × 40 - 1/3 × (15/2)² × 20

V = 1/3 × [9000 - 1125]

V = 1/3 × 7875

V = 2625 cm³

The value of 'r' is 15 cm. Then the volume of the frustum will be 2625 cm³.

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To solve f(1)+h(1) .....

plug in 1 for x in both equations f(x) and h(x):

f(1)=2(1)²+3(1)-4 = 2+3-4 = 1

h(1)= -(1)²+8 = -1+8 = 7

f(1)+h(1) = 1 + 7 = 8

Hope it helps!

Jodie has left 13.79 seconds to match the record.

What is a linear equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Here, we have

Jodie aimed to beat Mandy's 74.6-second mark on the obstacle course. She had already spent 10.56 seconds on the ropes and fifty-and-a-fourth seconds ascending the wall. To match the record, we must determine how much time she had remaining.

Jodie's total time for climbing the wall is fifty and one fourth seconds=50.25 seconds

The total time on ropes is 10.56 seconds

The total time she spent is 50.25+10.56=60.81

Left time = Record Time-Spent time

= 74.6-60.81 = 13.79

Hence, Jodie has left 13.79 seconds to match the record.

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The total number of completions Trevor  be expected to make is 25.

For the given question.

Let the number of completion by Trevor be 'x'.

Trevor completes 5 out of 8 passes.

Total passes are 40

Then, proportions set up is-

5/8 = x/40

x = 25

Thus, the total number of completions Trevor be expected to make is 25.

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When John read 7 and 1/2 pages in 2/5 of an hour, the rate in pages per hour that he read is 18.75 per pages.

It should be noted that rate is used to show the comparison between two things.

In this case, John read 7 and 1/2 pages in 2/5 of an hour.

The number of pages read per hour will be the division of the values given. This will be:

= 7 1/2 ÷ 2/5

= 7.5 / 0.4

= 18.75 pages

The pages is 18.75 pages.

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The angle of depression from the top of the tower to a cell phone user who is 5 horizontal miles away and 200 feet above sea level will be 87.36 degrees.

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates.

Here,

The cell phone tower's peak will be at a height of 1300 + 110 = 1410 feet above sea level.

Assuming that the user of a cell phone is 200 feet above sea level, the distance between them is 1410 feet- 200 feet, or 1210 feet.

The distance between them horizontally is 5 miles, or 5 * 5280, or 26400 feet.

The opposite cathetus is 26400 feet away and the neighboring cathetus is 1210 feet away.

the angle is 87.376 degrees, or tan(angle) = 26400 / 1210 = 21.82

A cell phone user 5 horizontal miles away and 200 feet above sea level will be depressed at an angle of 87.36 degrees from the top of the tower.

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Answer:1

Step-by-step explanation:

The answer is one because the graph starts at 12$ and Wallace only needs $8.

x-intercept

The x-intercept is where y=0.

[tex]-7x+10(0)=35\\\\-7x=35\\\\x=\boxed{-5}[/tex]

y-intercept

The y-intercept is where x=0.

[tex]-7(0)+10y=35\\ \\ 10y=35\\\\y=\boxed{7/2}[/tex]

The equation y = 10.5x - 5 is proportional

Given,

y = 10.5x - 5

We have to find this equation is proportional or not.

In mathematics, proportional relationships exist when two variables consistently change by the same multiple. The formula y = kx, where k is a constant multiplier that depicts the relationship between x and y, is used to represent proportional relationships. The line on the graph is always straight and goes through (0,0).

Here,

y = 10.5x - 5

10.5 is the constant multiplier that depicts the relationship between x and y.

So,

The equation y = 10.5x - 5 is proportional

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Answer: 19

Step-by-step explanation:

Answer: (if A=P(1+rt) is your formula)

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6.25%/100 = 0.0625 per year.

Solving our equation:

A = 15000(1 + (0.0625 × 7)) = 21562.5

A = $21,562.50

The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 6.25% per year for 7 years is $21,562.50.

According to the model, the value of -6(10b + 0.8) will be -60b - 4.8.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, this is illustrated as:.

= -6(10b + 0.8)

Open the parentheses

= -60b - 4.8

Therefore, the value is -60b - 4.8.

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a) product of function f(x) and g(x) is 2x² - 6x - 8 and b) product of function that is in part a and an (x) is 2x³ - 4x² - 14x - 8.

Here are the three functions given:

f(x) = x -4

g(x) = 2x + 2

c(x) = x + 1

a) The product of function f(x) and g(x)

f(x). g(x) = (x -4). ( 2x + 2)

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

= 2x² + 2x - 8x - 8

= 2x² - 6x -8

b) product of function f(x). g(x) and a(x)

f(x). g(x) . a(x) =( 2x² - 6x - 8 ). ( x + 1)

= x( 2x² - 6x - 8) + 1(2x² -6x - 8)

= 2x³ - 6x² -8x + 2x² - 6x -8

= 2x³ -4x² - 14x - 8

Therefore we get a) 2x² - 6x - 8 and b) 2x³ - 4x² - 14x -8.

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Considering the volume of the rectangular prism given the dimensions, it is found that:

The volume of a rectangular prism is given by the multiplication of the dimensions of the prism, which are the width w, the height h and the length l, that is:

V = l x w x h.

In this problem, the dimensions are given as follows:

Hence the polynomial expression for the volume of the prism is given as follows:

V = w(w - 5)(w - 3)

V = w(w² - 8w + 15)

V = w³ - 8w² + 15w.

The features of the polynomial function are given as follows:

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Step-by-step explanation:

Simplify Calculator. Step 1: Enter the expression you want to simplify into the editor. The simplification calculator allows you to take a simple or complex expression and see fro googlle bro

Answer:

16 - 11i

Step-by-step explanation:

When Adding or Subtracting any Complex Number

we Add or Subtract the Real Parts together and Add or Subtract the Imaginary Parts together

So for our Question

( 9 - 9i ) - ( -7 + 2i ) = ( 9 - (-7) ) + ( -9 - 2 )i = 16 - 11i

Answer:

x < -9

Step-by-step explanation:

2x + 4 < -14

Solve for "x"

Subtract 4 from both sides

2x + 4 < -14

2x + 4 - 4 < -14 - 4

Simplify

Subtract all the numbers

2x + 4 - 4 < -14 - 4

2x < -14 - 4

2x < -18

Divide both sides by the same factor

2x < -18

[tex]\frac{2x}{2}[/tex] < [tex]\frac{-18}{2}[/tex]

Simplify

Cancel the terms that are in both numerator and denominator

[tex]\frac{2x}{2}[/tex] < [tex]\frac{-18}{2}[/tex]

x < [tex]\frac{-18}{2}[/tex]

Divide

[tex]x < \frac{-18}{2}\\ x < -9[/tex]

The answer is [tex]x < -9[/tex]

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Answer:

Step-by-step explanation:

um ok so

Answer:

x=0

Step-by-step explanation:

the rest of this is so i can reach twenty characters.

The value for the number of red lights that Alice encounters are found.

X = no of red lights crossed by Alice.

X is Binomial distributed

In which  n=4, p=0.5, q = 0.5

Mean value is found by the formula,

Mean = np

Mean = 4×0.5

Mean = 2

And, variance = npq

Var = np(1-p)

Var = 4×0.5×0.5

Var = 1

PMF = ⁿCˣ0.5ˣ × 0.5 ⁽⁴⁻ˣ⁾

Thus, the value for  pmf, the mean, and the variance of the number of red lights that Alice encounters are found.

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Answer:

30

Step-by-step explanation:

( 2k - 2 )°, 90° and ( k + 2 )° are linear pair angles.

Sum of linear pair angle is supplementary ( that is 180 ),

2k - 2 + 90 + k + 2 = 180

2k + k + 90 = 180

3k = 180 - 90

3k = 90

k = 90/3

k = 30

Note : -

□ means 90°

Answer:

Step-by-step explanation: