A dishwasher is priced at $475 there are two options offered to reduce the price either a 15% discount off the price or a rebate of $75 which is the better choice and what is the extra amount saved

By using cross mutliplication, there are 24 gallons in the water tank after 30 minutes.

According to the statement the water tank is full at constant rate, 10 % tank capacity per each 5 minutes. The tank has a capacity of 40 gallons. The gained capacity is determined by the following cross multiplication, where the water capacity is directly proportional to filling time:

x ∝ t

x = (n / 100) · V × (T / t)        (1)

Where:

x = [0.1 · (40 gal)] × (30 min / 5 min)

x = 24 gal

There are 24 gallons in the water tank after 30 minutes.

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Answer:

FEG: 70 degrees

HEG: 110 degrees

Step-by-step explanation:

vertical angles are the same, and for supplementary angles you subtract 180, so likes for FEG you subtract 110 from 180, and for HEG its just the same thing

The price of the cycle is 2800 and the price of the scooter is 2800+ 4200=7000

Let the price of the cycle be x

Then the price of the scooter will become X + 4200

As the price of a scooter and the price of a cycle are in the ratio of 5:2

So, it can be written as

 x+4200: x:: 5:2

which implies

x= 2a and x+4200= 5a

a= x/2 and x+4200/5

equating both the equations, we get

x/2=(x+4200)/5

in order to solve this linear equation, we need to move 2 from the left-hand side to the right-hand side which would result in the change of sign from division to multiplication and we need to move 5 from the right-hand side to the left-hand side which would result in the change of sign from division to multiplication

5x=2x+8400

3x= 8400

X= 8400/3

X= 2800

So, the price of the cycle is 2800 and the price of the scooter is 2800+ 4200=7000

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We get the expression 64√2 in the form 2ⁿ as 2⁶°⁵.

An expression is a way in which numbers are written.

It can be variables, constants or a combination of both.

We are given an expression:

64 √2

We know that:

64 = 2 × 2 × 2 × 2 × 2 × 2

64 = 2⁶

Also, we can write √2 as

√2 = 2⁰°⁵

We get that:

2⁶ × 2⁰°⁵

simplifying the expression, we get that:

= 2⁶⁺⁰°⁵

= 2⁶°⁵

Therefore, we get the expression 64√2 in the form 2ⁿ as 2⁶°⁵.

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The Cookie Shop's profit at the end of January will be $12000.

The profit earned by the shop at the end of December = $15000

The profit decreased by 20% at the end of January

Therefore decrease percentage, which is used to determine the percentage decrease of two values ​​(final value and initial value)

[tex]Decrease percentage = \frac{Final value - Initial Value}{Final Value} * 100[/tex]

According to the formula, the initial value is subtracted from the final value. The resulting value is divided by the initial value and multiplied by 100 to obtain the decreased percentage

Decrease Percentage  20%

Final value = $15000

[tex]20 = \frac{15000 - Initial Value}{15000} * 100[/tex]

[tex]\frac{20}{100} = \frac{15000 - Initial Value}{15000}[/tex]

[tex]\frac{20}{100} * 15000 ={15000 - Initial Value}[/tex]

20 * 150 = 15000 - Initial Value

3000 = 15000 - Initial Value

Initial value = 15000 - 3000

Initial value = $12000

The profit earned by the Cookie Shop at the end of January will be $12000.

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Answer: b=8

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

c^2-a^2

will give you b

Answer:

The Answer is C

Step-by-step explanation:

Hope this helps!!!

Answer:

source?

Step-by-step explanation:

wiyhout one I cannot help you, best of luck!

A) The type of variation between pitch and wavelength is an inverse variation. b) the pitch when the wavelength is 5 feet would be 132 hertz.

we know that the Inverse Variation is a relationship between two variables in which the product is a constant.

Let x be a pitch of a musical instrument

y be the wavelength

x*y=k

We need to find the value of k for x=220 hertz   and y=3 ft

Then x*y=k

220*3=k

k=660

And for x=165 hertz ,  y=4 ft

x*y=k

165*4=660

k=660

A) Therefore, the type of variation between pitch and wavelength is an inverse variation.

B) the pitch when the wavelength is 5 feet;

x=?

y=5 ft

k=660

x*y=k

Then solve for x

x=k/y

x=660/5

x=132 hertz

Part b) the pitch when the wavelength is 5 feet would be 132 hertz

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The complete question is;

"A musical instrument has a pitch of 220 hertz when the wavelength is 3 feet. When the wavelength is 4 feet, the pitch is 165 hertz. What is the type of variation between pitch and wavelength? What is the pitch when the wavelength is 5 feet? hertz"

Answer: 339.07

Step-by-step explanation:

Answer:

339.07.

Step-by-step explanation:

I've attached an image to help break down this problem. (credit to cymath.com)

Hope this helps! :)

Answer:

7 baskets

Step-by-step explanation:

in the first game, he shot 6 baskets so

34 - 6 = 28

she shot the same number for each of the 4 games,

so divide 28 and 4.

the answer is 7

hope this helps

The solution for the expression ((8p² - 2s³) / m ) + ((58p² - 2s³) / m) + ((58p² - 2s³) / ( m + 5)) is 196.72

Given,

The expression: ((8p² - 2s³) / m ) + ((58p² - 2s³) / m) + ((58p² - 2s³) / ( m + 5))

Where,

Value of p is given as 3

Value of s is given as 2

Value of m is given as 4

Then,

((8p² - 2s³) / m ) + ((58p² - 2s³) / m) + ((58p² - 2s³) / ( m + 5))

= (8 x 3² - 2 x 2³) / 4 + (58 x 3² - 2 x 2³) / 4 + (58 x 3² - 2 x 2³) / 4 + 5

= (8 x 9 - 2 x 8) / 4 + (58 x 9 - 2 x 8) / 4 + (58 x 9 - 2 x 8) / 9

= (72 - 16) / 4 + (522 - 16) / 4 + (522 - 16) / 9

= 56 / 4 + 506 / 4 + 506 / 9

= 14 + 126.5 + 56.22

= 196.22

Therefore, the solution for the expression ((8p² - 2s³) / m ) + ((58p² - 2s³) / m) + ((58p² - 2s³) / ( m + 5)) is 196.72

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Answer: True

Step-by-step explanation: Because Im A Top G

Answer:

show working

Step-by-step explanation:

you know the area of a rectangle or square is length x width, we do the same here.

so we have a length of (x+5) and because its a square we do (x+5)(x+5) which is

[tex] {x}^{2} + 10x + 25[/tex]

and we know the area of the square is 30 so we make the expression above equal to 30 and take 25 away from both sides to get the wanted equation

 From the list of numbers presented:

 we can determine that this is a infinite serie.

      A sequence is an order of elements that are governed by a pattern, that is, it has variations between each element that remain constant and allow us to determine values before or after the known elements.

 A sequence maintains an order, and this numerical order can be finite or infinite, in the given case we have the following list:

1, 2, 4, 8, 16, 32

2ⁿ⁻¹

  In this series we have the initial value of the same, but we do not know the final value, although we know its behavior, we can say that this series has no end, it is an infinite serie.

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The equation for the vertical translation of y=f(x).2/3 unit down is y=f(x)-2/3.

Using equations of the form y=f(x), you may be able to modify the graph in various ways. For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of modifications to change it to the desired function.

A point on the graph of y=f(x) has the shape (x,f(x)).

The points on the graph of y=f(x)-2/3 are of the form (x,f(x)-2/3).

So, the graph for y=f(x) -2/3 is the same as the graph for y=f(x) shifted down by 2/3 units.

The new equation is:

y=f(x)-2/3

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Answer:Ill try my best.

The answer is

3rd one

Step-by-step explanation:

subtract 70 from both sides of the equation

The scores on the statistics test was normally distributed with a mean of 86 and a standard deviation of 5. Jose scored a 93 on his test then 1.4% of the class scored less than he did.

A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

The scores on the statistics test was normally distributed with a mean of 86, a standard deviation of 5, and Jose scored a 93 on his test.

We need to find the percentage of the class scored less than he did

z=(x-mean)/ S.D

=93-86/5

=7/5

=1.4

Therefore 1.4 percentage of the class scored less than Jose did.

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According to the census data, the population of China is more than the population of US by a factor 4.2

Given data

population of China = 1.3x10^9

population of US = 308,745,538

population of china = 1.3x10^9. can be rewritten as = 1,300,000,000

comparing the both figures representing population. we divide the population of China by the population of US

let the number of times the population of china is greater than population of US be x, such that

308,745,538 * x = 1,300,000,000

308,745,538x = 1,300,000,000

x = 1,300,000,000 / 308,745,538

x = 4.2106

x ≅ 4.2

We therefore say that the population of china is more than the population of US by a factor 4.2

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The area of the doghouse in square feet is calculated as 9 (13) ft2.

The formula to find the area of the dog house is 9(1/3) ft2

Area of the dog house = Length of the dog house width of the dog house

Area = (72 ft )  (83 ft )

Area = 7.82.3 ft*ft

Area = (566) ft2

Hence, the area becomes Area = 9 (13) ft2

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Answer:

f(6) = 40

Step-by-step explanation:

f(x)=8x-8

f(6) means to evaluate the function at x = 6.

Substitute 6 for x, and evaluate the right side.

f(6) = 8(6) - 8

f(6) = 48 - 8

f(6) = 40

Answer:

a = 71°

Step-by-step explanation:

This looks like a supplementary angle

109 + a = 180

-109        -109

a = 71°

I hope this helps!

Answer:

a = 71°

Step-by-step explanation:

Hello!

The sum of angles on a line is 180°. That means, 109° and a have to add up to 180°.

Angles that add up to 180° are called supplementary angles.

a is 71°.

The functions are express as follows:

A composite functions is gotten from the combination of two or more functions.

Therefore,

(rs)(4) = r(4) × s(4)

r(x) =  2√x

s(x) = √x

Hence,

r(4) = 2√4 = 2 × 2 = 4

s(4) = √4 = 2

Therefore,

(rs)(4) = r(4) × s(4) = 4 × 2 = 8

(r / s) (3) = r(3) / s(3)

r(3)  = 2√3

s(3) = √3

Hence,

(r / s) (3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore, the functions are express as follows:

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Answer:

Step-by-step explanation:

You just have to distribute all the equations. Start with the parenthesis. I'll do one for you. 2(x-5) +7 = x+8. Distribute 2(x-5) and you gest 2x-10+7=x+8. subtract x from the right and you get x-10+7=8. Combine like terms so you get x-3=8. Then add 3 on both sides and you get x=11.

Answer:

A. 24.17.

Step-by-step explanation:

Perimeter of given triangle

= 4 + 4.5 + 6

= 14.5.

3:5 = 14.5 : P     where P is perimeter of new triangle

3/5 = 14.5/P

3P = 5*14.5

P = 14.5 * 5 / 3

  = 24,166667

  = 24.17.

The 1250 represents option B in the situation, George is correct, the solution to the linear equation is h = 80$.

What is a linear equation?

A linear equation has only one or two variables. No variable in a linear equation is raised to a power greater than one or used as the denominator of a fraction. When two values satisfying a linear equation are found and shown, all of the points on a coordinate grid fall on the same line.

Given that,

Jennifer was paid $15 per hour.

Given equation is 50+15h=1250

1)Here 1250 represent B.

Her financial situation towards the end of the summer.

Because as mentioned in the equation 50+15h=1250

Here, 50 is the money already there with her, and 15h was the amount paid to her,

So, by adding those both the amount 1250 will be the amount with Jennifer at the end of the summer.

2)Given equation is 50+15h=1250

By putting 10 in place of h (h=10)

50+15(10)=1250,

50+150=1250,

200=1250$.

Since, LHS is not equal to RHS.

Therefore, George is correct, 10 could not be the solution to the linear equation.

3) Given equation 50+15h=1250

15h=1250-50,

15h=1200,

h=1200/15,

h=80$.

Therefore, the solution for the equation h is 80$.

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Using it's concept, it is found that the percentile of 7 cakes is the 67th percentile.

When a measure is in the xth percentile of a data-set, it is greater than(or equal) x% of the measures and lesser than (100 - x)%.

In this problem, we have that:

Hence, the percentile of the measure 8 is found as follows:

8/12 = 67th (rounded).

The percentile of 7 cakes is the 67th percentile.

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Answer:

y = 234t

Step-by-step explanation:

Divide the equation by t on both sides. See image.