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Answer:

4

Answer:

Linda starts the month with $15 in debt. Each hour, she makes 2.5 dollars. How many hours will it take for Linda to get out of debt?

A situation that can be represented by the expression 2.5x - 15 is given below.

Let's consider a situation where you are tracking the amount of money you earn from selling handmade crafts. In this scenario, the expression 2.5x - 15 can represent your net earnings after deducting the initial investment and expenses.

Suppose you invest a certain amount of money in materials and supplies to create your crafts. The variable x represents the number of crafts you sell. Each craft generates a profit of $2.50. Therefore, the term 2.5x represents the total profit you earn from selling x crafts.

However, running a business incurs expenses. In this case, the expression -15 represents $15, which is the total expense or cost associated with producing and selling your crafts.

So, 2.5x - 15 calculates your net earnings after subtracting the expenses from the profit. It provides you with a measure of how much money you've made after covering the costs.

By plugging in different values for x, you can evaluate the expression to determine your earnings for various levels of craft sales, allowing you to analyze your profitability and make informed decisions regarding your business.

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Answer:

length = 15ft

width = 11ft

Step-by-step explanation:

p = 2L + 2w = 52ft

w = L - 4

Substitute: 2L + 2(L-4) = 52

Simplify and solve:

  2L + 2L - 8 = 52

  4L - 8 = 52

  4L = 60

  L = 15

  w = 15-4 = 11

Check:

2(15) + 2(11) = 52?

30 + 22 = 52!!!

Answer:

y = 10, x = 18

Step-by-step explanation:

Hope it helps!

Answer:

-7 or 7

Step-by-step explanation:

|x|-2=5

Add 2 to each side:

|x|=7

Because it is the absolute value, x can be -7 or 7

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Answer: 9 seconds

hope it was helpful (^ = ^)

Step-by-step explanation:

x=number of seconds

100m/6s=150/x

Cross multiply and make x the subject

100m(x)=150m(6s)

x=(150m x 6s)/100m = 9s

therefore it would take the cheetah 9 seconds to run the 150m

The person who makes a basket more often, between Simon and Reina, is Simon

To find who makes the basket more, you need to find the percentage number of times the basket is made.

The percentage number of times the basket is made by Simon is :
= Number of baskets made / ( Number of baskets made + Number of baskets missed ) x 100 %

= 7 / ( 7 + 5 ) x 100%

= 7 / 12 x 100%

= 58.3%

The percentage number of times Reina makes the basket is :

= 9 / ( 9 + 7 ) x 100%

= 9 / 16 x 100%

= 56.25%

Simon therefore makes the basket more.

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Answer: Thousand  Liters

Step-by-step explanation:

The value of the equation f ( x ) is

f ( x ) = x³ + x² - 8x - 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( x + 2 )²( x -3 )   be equation (1)

Now , on simplifying the equation , we get

f ( x ) = ( x + 2 )²( x -3 )

f ( x ) = ( x² + 4x + 4 ) ( x - 3 )

Now , multiplying each term with ( x - 3 ) , we get

f ( x ) = ( x - 3 ) x² + ( x - 3 ) 4x + ( x - 3 ) 4

f ( x ) = x³ - 3x² + 4x² - 12x + 4x - 12

On simplifying the equation ,we get

f ( x ) = x³ + x² - 8x - 12

Now , the value of the equation f ( x ) = x³ + x² - 8x - 12

On graphing the equation , we get

The graph of the equation f ( x ) = x³ + x² - 8x - 12 is shown below

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The total number of sandwiches they have in all on Sunday is 375 sandwiches.

The amount earned by the cafe if each sandwich cost $4.50 is $1,687.5

Total percentage of ham and turkey sandwiches = 35% + 25%

= 60%

So,

225 = 60% of x

225 = 0.60 × x

225 = 0.60x

divide both sides by 0.60

x = 225/0.60

x = 375

Hence,

Total number of sandwiches = 375

If the cafe sells all the sandwiches at $4.50 each

The total money earned by the cafe = cost of each sandwich × total number of sandwiches

= $4.50 × 375

= $1,687.5

Therefore, the total sandwiches sold in the cafe on Sunday is 375 sandwiches.

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Answer: 19

Step-by-step explanation:

9x6= 54

So there’s 54 hot dogs in total

Subtract the amount left

54-35= 19

There are 19 hot dogs left

Hope this helps!

Answer:

5

Step-by-step explanation:

0.7/0.14

7/10×100/14

7×100/10×14

5

Answer:

[tex]\huge\boxed{\sf \$ \ 11.52}[/tex]

Step-by-step explanation:

12 bottles of juice = $8.64

Divide 12 to both sides

12/12 bottle of juice = $8.64/12

1 bottle of juice = $0.72

Multiply 16 to both sides

1 × 16 bottles of juice = $0.72 × 16

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

(4,8)..Its the only one in which x doesnt repeat

The average weight of a male Florida panther rounded to the nearest whole number is 53 kg

What is average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Average weight = 52.6 kg

52.6

The number after decimal point is 6 which is more than 5.

So add  1 to the 52, we get 53

Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg

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The required co-terminate angles of 1817° between 0° to 360° is 343°.

Co-terminal Angles are points who share similar introductory side and terminal sides. Finding co-terminal points is just about as straightforward as adding or taking away 360° or 2π to each point, contingent upon whether the given point is in degrees or radians. There are a boundless number of co-terminal  Angles that can be found.

For calculating co-terminal of angle 1817°,

We will subtract given angle 1817° from 2160°(multiple of 360°)

Then,

2160° - 1817°

343°

Thus, the co-terminating angle of 1817° is 343°.

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a) The population of the confidence interval is given as follows: The temperature all days for that summer.

b) The point estimate of the interval is of: 80 degrees Fahrenheit.

c) The margin of error of the interval is of: 8 degrees Fahrenheit.

A confidence interval for a population parameter is built taking a sample of this population.

Then, the interval for the population mean is given as the sample mean plus/minus the margin of error.

The sample in this problem is given as follows:

The temperature for 10 days of summer.

Hence the population is of:

The temperature all days for that summer.

The interval in this problem is given as follows:

(72, 88).

The point estimate is the mean of the bounds, hence:

Point estimate = (72 + 88)/2 = 80.

The margin of error is half the difference of the two bounds, hence:

Margin of error = (88 - 72)/2 = 8.

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Answer:22.7

Step-by-step explanation: 170/7.481=22.724234728 rounded to the nearest tenth is 22.7

Answer:3/4 * 1/5 = 3/20 = 0.15

Step-by-step explanation:Multiple: 3/

4 * 1/5 = 3 · 1/4 · 5 = 3/20

Multiply both numerators and denominators. The result fraction keep to the lowest possible denominator GCD(3, 20) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - three quarters multiplied by one-fifth is three twentieths.

Answer:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Step-by-step explanation:

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.Given the parent functionf(x) = 4xIf the function is not reflected over x-axis, the resulting function will be f(x) = -4xIf the resulting function is compressed by a factors of 1/8, hence the final function rule will be;g(x) = 1/8(-4x)g(x) = -1/2xHence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

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Part a: the LCD is measured to be 96 utilizing the inspection method.

Part b: By division of prime numbers: 96.

The given number are-

1/4, 3/32, 5/48, and 1/8

Part a:

Find the multiples of the provided fractions' denominators, which are 4, 32, 48, and 8.

4 = 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88, 92, 96.

32 = 32, 64, 96, 128, 160, 192, 224, 256, 288 ,320.

48 = 48, 96, 144, 192, 240, 288, 336, 384, 432 and 480.

8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

The computation shows that 96, which really is divisible by 4, 32, 48, and 8, is the lowest common multiple.

As a result, the LCD is measured to be 96 utilizing the inspection method.

Part b: By division of prime numbers:

Determine the factors of the given fractions' denominators, 4, 32, 48, and 8.

4 = 2, 2

32 =  2, 2, 2, 2 and 2.

48 = 2, 2, 2, 2 and 3.

8 = 2, 2 and 2.

The generated number, 96, can be divided by the provided fractions' denominators.

As a result, the outcome is 96.

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Answer:

13 years

Step-by-step explanation:

Answer: The carbs in one glass of milk is 14 carbs and one snack bar is 10 carbs

Step-by-step explanation: Hope this helps!

Answer:

Step-by-step explanation:

78 and 10g

Answer:

The total fare is $53, and the distance is 25

Step-by-step explanation:

The equation we can use for the first car would be:

28 + (1×k) = fare (f)

The equation we can use for the second car would be:

3 + (2×k) = f

If we were to plug in 20 into the equations, it would look like this:

28 + (1×20) = 48 (first car)

3 + (2×20) = 43 (second car)

As you can tell, the prices aren't matched up just yet.

Let's plug 25 into the equations.

28 + (1×25) = 53

3 + (2×25) = 53

The number of kilometers traveled is 25, and the price is $53

Answer:

22/25

Step-by-step explanation:

0.88 = 88/100

(88:4)/(100:4)

22/25

Answer:

Triangle PQR is a right triangle. First we have to find the length of each side of the triangle. This can be done using the points provided, along with the Pythagorean theorem, which is a^2+b^2=c^2. PR^2 = (7- -2)^2+(3-5)^2 = 85 => PR = sqrt(85) QR^2 = (7- -1)^2+(3-1)^2 = 68 => QR = sqrt(68) QP^2 = (1-5)^2+(-1 - -2)^2 =17 => QP = sqrt(17) Now that we have the sides of the triangle, we can put them into the Pythagorean theorem again to see that it works out: (Sqrt(17))^2 + (sqrt(68))^2 = (sqrt(85))^2 17 + 68 = 85 85 = 85 Since the Pythagorean theorem works for right triangles, the triangle is indeed a right triangle.

Step-by-step explanation:

Answer:

227

Step-by-step explanation:

just divide it by how many times it goes into 1135

Answer:

227

Step-by-step explanation:

Answer:

f(x) * g(x) = -10x2 - 48x - 54

Step-by-step explanation:

(2x+6) * (-5x-9)

-10x2 - 18x - 30x - 54

-10x2 - 48x - 54