A Computer Repair Shop Charges A Flat Fee Of $10.95 And Then $24.90 Per Hour.A Customer Paid $147.90 (2024)

Answer:

(1) y = 8.45x

(2) Total cost: $42.25

Step-by-step explanation:

Let's see by constructing a first-hand example of the information we have.

$101.40 = 12x

Divide 12 on both sides.

When we divide 12 from both sides, we get the simplified answer of:

x = 8.45

This means that each pizza will be $8.45 each, therefore this will be out=r equation

y = 8.45x

(where x is the number of pizzas and y is the total amount cost.

To find the cost of 5large pepperoni pizzas, we use our equation above (y = 8.45x) and input a 5 in x;

y = 8.45(5)

y = 42.25

The total cost for the 5 pizzas will be $42.25.

The time taken to fill the bathtub by cold water is 14.4 minutes.

Given,

Time taken to fill a bathtub by both cold and hot water = 8 minutes

Time taken to fill the bathtub by hot water = 18 minutes

Time taken to fill the bathtub by cold water = t minutes

We have to find t.

We can take the full bath tub as 1.

Now,

We can equate the given data:

We get,

(8/18) + (8/t) = 1

Now, solve the equation:

((8 × t) + (8 × 18) ) ÷ (18 × t) = 1

(8t + 144) ÷ 18t = 1

8t + 144 = 18t

18t - 8t = 144

10t = 144

t = 144/10

t = 14.4

That is,

The time taken to fill the bathtub by cold water is 14.4 minutes.

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The number of shoes that have to be purchased until both companies earn the same amount is 21.

How to calculate the number of shoes?

Based on the information, the profit rates for Nike and Adidas are illustrated as:

Nike -2 (x - 2)

Adidas -17 + x

In this case, x represents the number of shoes purchased,

The number of shoes that have to be purchased until both companies earn the same amount will. be:

2(x - 2) = 17 + x.

2x - 4 = 17 + x

2x - x = 17 + 4

x = 21

The number of shoes will be 21.

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Cans of paint (k) = Birdhouses painted

x= cans of paint

y= Birdhouses painted

y= kx

Where k is the constant of proportionality.

Replace with a set of points and solve for k

(x,y) = (3,15)

15= k 3

15/3 = k

k=5

Answer:

Hhhhhhhhhhhhhhhhhh : x=-2

Answer:

$48

Step-by-step explanation:

Simple interest (I) = PRT/100

Where P = principal

R= rate

T = time

.: Simple Interest = 120 × 8 × 5

---------------

100

S. I = $48

.: the approximate value of the investment at the end of 5 years will be = $48

The resulting complex number is -10 - 10i.

How to subtract complex numbers?When subtracting complex numbers, the real and imaginary components of each complex number are taken into account independently. The real and imaginary components of one complex number are then subtracted from the real and imaginary components of the other complex number, respectively. The equation for subtracting complex numbers is as follows:

z₁ - z₂ = (a + ib) - (c + id)

= (a - c) + i(b - d)

Given complex number: -4-(1+i)-(5+9i)

-4-(1+i)-(5+9i)

Remove the parentheses and combine the real and the imaginary parts respectively.

(- 4 -1 -5) - i(1 + 9)

-10 - 10i

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The customer must purchase 80 gallons of 50% solution if they wish to create a 40% soap solution.

How much 50% solution must he purchase?

A customer has 40 gallons of a cleaning solution that contains 20% soap.

The company sells a cleaning solution that contains 50% soap.

The customer wishes to create a 40% solution.

Solution:

By mixture and allegation method,

1 gallon 1 gallon

50% 20%

40%

20 10

To create a 40%Soap solution, one must mix 20 gallons of 50% soap solution and 10 gallons of 20% Soap solution.

Therefore, the ratio is 20 : 10 = 2:1

The customer has 40gallons of a cleaning solution that contains 20% soap, therefore in a 2:1 ratio, 1 part is 40 gallons.

Then for 2 parts = 2*40 = 80 gallons.

The customer must purchase 80 gallons of 50% solution if they wish to create a 40% soap solution.

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Answer:

$2

Step-by-step explanation:

To find the unit cost, divide the entire price of all the songs (22), by how many songs you bought (11)

22 Dollars / 11 Songs = 2 Dollars / Song (2 Dollars per Song)

-1000 represents Jenny's change in elevation.

What is an integer?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the corresponding positive numbers are the negative numbers. The boldface Z is a common mathematical symbol for the set of integers. A number that contains both positive and negative integers, including zero, is called an integer. There are no fractional or decimal parts in it. Integers include things like -5, 0, 1, 5, 8, 97, and 3,043.

Given Data

Jenny ended a hike at an elevation of 3, 000 feet above sea level.

She had started at an elevation of 2, 000 feet above sea level.

Hike remaining = 3000 - 2000

Hike remaining = 1000

-1000 represents Jenny's change in elevation.

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The unknown variables and angles are as follows:

x = 10y = -5m∠YTE = 36°

How to find angles?

The sum of angles on a straight line is 180 degrees.

Therefore, the sum of angles on line STA is 180 degrees.

CT bisect STE

Angle STE Is a right angle.

Therefore,

5x + y + 3 + 3x + 12 = 90

5x + 3x + y + 12 + 3 = 90

8x + y + 15 = 90

8x + y = 90 - 15

8x + y = 75

Ty bisect ETA

Angle ETA Is a right angle.

Therefore,

y + 41 + 5x + 4 = 90

5x + y + 45 = 90

5x + y = 90 - 45

5x + y = 45

Combine the equation

8x + y = 75

5x + y = 45

subtract equation(ii) from equation(i)

3x = 30

x = 30 / 3

x = 10

y = 75 - 80

y = -5

Therefore,

m∠YTE = y + 41 = -5 + 41 = 36°

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The continents that have a lower elevation than North America are Africa and Asia.

What is elevation?

It should be noted that elevation simply had to do with the height above sea level of a particular thing. Any of numerous huge landmasses is referred to as a continent. Up to seven geographical regions are usually regarded as continents, based on convention rather than precise requirements.

A continent is one of the seven major land divisions on Earth. Asia, Africa, North America, South America, Antarctica, Europe, and Australia are the continents, in order of size.

In this case, the table shows negative integers to represent the lowest elevations below sea level on each of the 7 continents.

In the table, Africa has -512 and Asia had -1312. It should be noted that these are lower than in North America.

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Answer: g=-16.3

Step-by-step explanation:

ya welcome

a) 720000 cm^3
b) 0.72 m^3
c) 1728 kg

Divide the steps into three manageable parts. Calculate the volume of each part and add them together. Convert units into m^3. Finally, multiply by the given density to find the steps' weight.

See details:

The probability that the life span of the monitor will be more than 15,240 hours = 0.055

Given,

Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a variance σ^2 = 1,960,000 of and a mean life span of μ = 13,000 hours.

Here, σ = [tex]\sqrt{1,960,000}[/tex] = 1,400

Let x represents the life span of a monitor.

Then , the probability that the life span of the monitor will be more than 15,240 hours will be :-

= P(x > 15,240) = P[(x - μ)/σ > (15,240 - 13,000)/ 1,400 ]

= P (z > 1.6) = 1 - P(z ≤ 1.6) [∵ P(Z > z ) = 1 - P(Z ≤ z) ]

= 1 - 0.9452 = 0.0548 ~ 0.055

Hence, the probability that the life span of the monitor will be more than 15,240 hours = 0.055

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The attached figure shows the location of P' and R' in the figure, after the dilation

What is dilation?

Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.

How to determine the location of P' and R' in the figure?

The figure that completes the question is added as an attachment

From the figure, we have the following parameters

Center of dilation = Point CLength CR = 2.6 unitsLength PR = 5 unitsScale factor of dilation = 3

The image of dilation using the above parameters is the scaled factor of the given figure

As a general rule, the following are the properties of a scaled copy of another figure

If the scale factor is greater than 1, the side lengths would be greater than the original figureIf the scale factor is less than 1, the side lengths would be less than the original figureThe angles of both figures are the sameThe side lengths may or may not be whole numbers

The above means that

New lengths = Old lengths * Scale factor

So, we have

P'R' = PR * Scale factor

C'R' = CR * Scale factor

This gives

P'R' = 5 * 3

P'R' = 15

C'R' = 2.6 * 3

C'R' = 7.8

Using the above as a guide, the location of P' and R' are identifies in the figure

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Answer:

12

Step-by-step explanation:

(8+11+14+13+14+9+15)/7 = 12

Answer:

Median

Total obs. = 7

if odd —

Average = (n + 1 )/2

n = no. of obs.

Average = 7 + 1 /2

= 8/2 = 4th obs.

=> 13

Mean

= Sum of obs./ Total obs.

= 8,11,14,13,14,9,15/7

= 84/7

=> 12

Answer:

f(-2) = 18

Step-by-step explanation:

f(-2) = 18

Answer:

6.3071, 6.408, 6.47, 6.7

Step-by-step explanation:

6.3071, 6.408, 6.47, 6.7, hope this helped!

Answer:

In bold below.

Step-by-step explanation:

6.3071, 6.7 6.408, 6.47

= 6.3071, 6.408, 6.47, 6.7

The true statement is that both √15 and √0.001 are irrational , the correct option is (c).

Rational Numbers can be defined as the numbers that can be expressed in the form of p/q , where p and q are integers and q not equal to 0 .

For Example : 2/3 , 2, 8/3 are all Rational Numbers.

Irrational Numbers can be defined as the numbers that cannot be expressed in the form of p/q where , p and q are integers and q not equal to 0 .

For Example : √2 , √37 are irrational as they cannot be expressed in the form of p/q.

In the question ,

two numbers √15 and √0.001 are given .

the first number √15 is not a perfect square , hence not an integer ,

So, √15 is an irrational number .

the second number

√0.001 = √(1/1000) = 1/√1000 = [tex]\frac{1}{10\sqrt{10} }[/tex]

we see that √10 is not an integer , hence √0.001 is an irrational number .

Therefore , the true statement is that both √15 and √0.001 are irrational , the correct option is (c).

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Betty spent $90 and Nan spent $ 30

What is basic algebra ?

Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every area of mathematics, including coordinate geometry, calculus, and trigonometry. A straightforward algebraic expression is 2x + 4 = 8.

Given that :While shopping, Betty spent three times as much as Nan. And they spent a total of $120,

Let the Betty spent total $x and Nan spent total $Y

then,

x = 3y ....(i)

x +y =120 .....(ii)

put value of c from i equation to equation ii

4y = 120

y = 30

x = 90

Hence Betty spent $90 and Nan spent $ 30

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Answer:

02987329619

Step-by-step explanation:

02987329619

Answer:

kk

Step-by-step explanation:

Given

9h-27

Answer

[tex]\begin{gathered} 9h-27 \\ 9(h-3) \\ \end{gathered}[/tex]

Greatest common factor = 9

Answer: $2.75

Step-by-step explanation:

2) Judy spent 3*5.25 = 15.75 on popcorn bags, 13.60 on a jumbo bag of chips and 7.90 for a dip. This means that overall she spent $37.25. If she had $40, this means that she have left $40 - $37.25 = $2.75.

1) Your answer is right.

Answer:

2/17, 8/17, and 11/17
7/21, 7/18, 7/14, 7/12, and 7/8
2/12, 2/10, 2/8, 2/6, and 2/4.

Step-by-step explanation:

D. moving red blood cells around the body

Answer:Explanation:

• T

,

• 0.320

The player's on-base percentage = 0.320

This is equally the relative frequency of the player being on base.

Thus, the appropriate method is the relative frequency method.

Thus, the probability that the player will get on base in his next appearance is 0.320.

A point that lies in the middle of a line and is equally spaced from its ends is the line's midway. The formula for the line's midpoint is [(x)1 + (x)2]/2, [(y)1 + (y)2]/2 if the line's endpoints are (x)1, (y)1, and (x), (y), respectively.

Explain about the midpoint?

Using the equations [(x)1 + (x)2]/2, [(y)1 + (y)2]/2, one may get the midway. Here, the coordinates of two points are (x), (y), (x)2, (y)2, and the midway is a location that is equally spaced from both of these positions.

The exact middle number between two numbers is referred to as the midway. The midpoint calculation is the same as the two-number average calculation. Therefore, by adding any two numbers together and dividing by two, you may find the halfway between any two integers.

The distance formula, which is derived from the Pythagorean Theorem, is employed to determine the separation between two points in the plane. The Pythagorean Theorem is based on a right triangle where the angles are a and b.

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[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the end of the period}}{\textit{Future Value of an ordinary annuity}} \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\\\ ~~~~~~ \begin{cases} A=\textit{accumulated amount}\\ pmt=\textit{periodic payments}\dotfill &100\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each months, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &20 \end{cases}[/tex]

[tex]A=100 \left[ \cfrac{\left( 1+\frac{0.06}{12} \right)^{12 \cdot 20}-1}{\frac{0.06}{12}} \right] \\\\\\ A=100 \left[ \cfrac{\left( 1.005 \right)^{240}-1}{0.005} \right]\implies A \approx 46204.09[/tex]

The formulas that will appear in D2, E2, and F2, respectively are

B$2, C$2, D$2. Option A

This is further explained below.

What is a formula?

Generally, A mathematical formula or a chemical formula, for example, are both examples of formulas, which are condensed ways of expressing information via the use of symbols.

When used informally within the realm of science, the word "formula" refers to the overall construction of a connection between a set of determinable variables.

Because of the formula =A$2, row 2 is considered to be anchored.

At this point, D2 is located to the right of C2, but still in the same row.

And the cell that is direct to the right of A2 is labeled B2.

As a result, the formula for D2 will equal B times 2.

In the same manner, the formula in E2 will be C$2, and the formula in F2 will be D$2.

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