Ken charges his neighbors $17.00 to wash their car. How many cars must he wash next summer if his goal is to earn at least$1800?

Answers

Answer 1

Let x be the minimum number of cars Ken has to wash to reach his goal, then we can set the following linear equation:

[tex]17x=1800.[/tex]

Solving the above equation for x, we get:

[tex]x=\frac{1800}{17}.[/tex]

Rounding up to the nearest whole number we get:

[tex]x\approx106.[/tex]

Answer: [tex]106.[/tex]


Related Questions

A square has side length of 7.3 in. If the area is multiplied by 1/9, what happens to the perimeter. Please help!

Answers

Note that if the area of any figure is multiplied by a factor of a.

The perimeter will be multiplied by √a

From the problem, the are of the square is multiplied by 1/9, so we need to get the square root of that factor to get the factor for the perimeter.

[tex]\sqrt[]{\frac{1}{9}}=\frac{1}{3}[/tex]

Therefore, the answer is C. multiplied by 1/3

a company produces very unusual CD's for which the variable cost is 8$ per CD and the fixed costs are $30000. They will sell the CD's for $63 each. Let x be the number of CD's produced. Write the total cost C as a function of the number of CD's produced.C=$___Write the total revenue R as a function of the number of CD's produced R=$_______Write the total profit P as a function of the number of CD's producedP=$______Find the number of CD's which must be produced to break even.The number of CD's which must be produced to break even is_______

Answers

Remember that to model this kind of problems, we can use the equation of a straight line

[tex]y=mx+b[/tex]

Where:

• b, are the fixed costs

,

• x ,represents what varies

,

• m, is the cost of what varies

1. Therefore, using the data provided, we can model the cost of production with a function where:

• x ,is the numbers of CD's produced

,

• C, is the cost of producing those CD's

[tex]C=8x+30000[/tex]

2. To model the revenue, we'll have to take into account that every CD sells at $68. Therefore, the money collected by selling the x CD's produced is:

[tex]R=63x[/tex]

Where:

• x ,its the number of CD's produced and sold

,

• R, is the total revenue

3. To get the profit, we'll have to substract the production cost to the money collected by the sale. Remember we already have two expressions, in terms of x, that describe both situations. Therefore,

[tex]\begin{gathered} P=R-C \\ \rightarrow P=63x-(8x+30000)\rightarrow P=63x-8x-30000 \\ \rightarrow P=55x-30000 \end{gathered}[/tex]

Where:

• x ,its the number of CD's produced and sold

,

• P, is the total revenue

4. In order to break even, the revenue (R) has to be equal to the cost of production (C), Thus,

[tex]\begin{gathered} R=C\rightarrow63x=8x+30000 \\ \rightarrow63x-8x=30000 \\ \rightarrow55x=30000\rightarrow x=\frac{30000}{55} \\ x=545.5 \\ \text{Rounding to closest integer,} \\ x=546 \end{gathered}[/tex]

Therefore, 546 CD's would have to be produced to break even.

There are 840 tickets available for a concert.
1/7 of these tickets have not been sold.
How many of the tickets have been sold?

Answers

Answer:

720

Step-by-step explanation:

If 1/7 of the tickets have not been sold, 6/7 of the tickets have.

840 * 6/7

720

3 XWhat is the value of x in the equation 4-- =O-32O-18O 18O 3224?

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation

[tex]-\frac{3}{4}=\frac{x}{24}[/tex]

STEP 2: Find the value of x

Cross multiply the equation

[tex]\begin{gathered} -3\times24=4\times x \\ -72=4x \end{gathered}[/tex]

Divide both sides by 4

[tex]\begin{gathered} -\frac{72}{4}=\frac{4x}{4} \\ -18=x \\ x=-18 \end{gathered}[/tex]

Hence, the value of x is -18

Select the correct answer.An engineering firm designs a custom hexagonal screw for a computer board. A sketch of the top of the screw is below. To the nearest tenth,what is the area of the screw head?ymm8.€4-2-x mmO-2--4--4OA15.6 mm2.OB. 93.5 mm2OC 62.4 mm2OD.1871 mm²402

Answers

We will have the following:

We can see that the shape of the head can be subdivided in smaller shapes, that is:

Now, we calculate the 5 areas, that is:

[tex]\begin{gathered} A_1=\frac{(6)(3)}{2}\Rightarrow A_1=9 \\ \\ A_2=\frac{(6)(3)}{2}\Rightarrow A_2=9 \\ \\ A_3=(6)(12)\Rightarrow A_3=72 \\ \\ A_4=\frac{(6)(3)}{2}\Rightarrow A_4=9 \\ \\ A_5=\frac{(6)(3)}{2}\Rightarrow A_5=9 \end{gathered}[/tex]

Now, the total area is:

[tex]\begin{gathered} A_T=A_1+A_2+A_3+A_4+A_5\Rightarrow A_T=9+9+72+9+9 \\ \\ \Rightarrow A_T=108 \end{gathered}[/tex]

So, the total area is 108 mm^2-

Students A and B have probabilities of failing an exam of 1/2 and 1/5 respectively. The probability of them both failing the examination is 1/10. Determine the probability that at least one of the two students fail.​

Answers

Answer:

7/5

Step-by-step explanation:

1/2 + 1/5

probability that at least one of the two students fail is 7/5

last question of the day :)

Answers

Answer:

0.5

Step-by-step explanation:

0.5 x 0.5 = 0.25

Answer:

x=0.5

Step-by-step explanation:

x=±√0.25

x=±0.5

x=0.5,−0.5

PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

did not understand waht should we do

3/4+(1/2+1/4) 2⋅2
NEED HELP.

Answers

Answer:

15/8 for exact form

1.875 for decimal form

And

1 and 7/8 for mixed number form

hope this helps you!

(also already in the simplest form :)

The image of the point (1, 1) under a translation is (0, 3). Find the coordinates of the image of the point (-4, "-1) under the same translation.

Answers

The image of the point (-4, -1) after the translation is:

(-3, 1)

How to identify the translation?

A translation:

Tᵃ'ᵇ applied to a point (x, y) gives:

Tᵃ'ᵇ(x, y) = (x + a, y + b).

In this case, we know that:

Tᵃᵇ(1, 1) = (1 + a, 1 + b) = (0, 3)

Then:

1 + a = 0

1 + b = 3

Solving these we get:

a = 1

b = 3 - 1 = 2

The translation is:

T¹'²

Applying this to the point (-4, -1) gives:

T¹'²(-4, -1) = (-4 + 1, -1 + 2) = (-3, 1)

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Write two hundred thousand and
Seventeen in figures

Answers

Answer:

200,017

Step-by-step explanation:

2 at the front for 200,000 , and then you have 17 which are the last 2 digits

Given m || n, find the value of x.
m
(8x+14) (9x-4)°
n

Answers

Answer:

X=11

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

Because, [tex](8*18+14)=(9*18-4)[/tex] is true

Match each ratio to an equal ratio. Drag the items on the left to the correct location on the right.

Answers

Answer:

30

Step-by-step explanation:

it doesn't seem to be correct question

x=3

35. If 7-√5 / 7+√5= a +b√5, then find the value of a and b.​

Answers

Answer:a = (27 - 7 √5)/(22) - b √5b = [(22a - 27 + 7√5) √5]/110For finding a = Solve for a by simplifying both sides of the equation, then isolating the variable.b = Solve for b by isolating the variable by dividing each side by factors that don't contain the variable.
Therefore a=27/22 and b=-5/22

When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step? Original Equation: 5.x2 + (10x2 + 10) = 3x? First Step: 15x2 + 10 = 3.2 commutative property of multiplication commutative property of addition multiplication property of equality

Answers

The original equation is:

5 x^2 + (10 x^2 + 10) = 3 x^2 - 5

The first step the person did was:

15 x^2 + 10 = 3 x^2 - 5

so in this first step the person used the associative property of addition by associating 5 x^2 with 10 x^2 and combining them to give 15 x^2.

Please check if there is an option that states such among your options.

Determine the rate at which the sloth travels.
Justify your answer.
Distance (ft)
987654MN-
6.
3-
2
1
0
Speed of a Sloth
1 2
3 4
Time (min)

Answers

The rate at which the sloth travels as required in the task content is; -22ft/min.

Speed as a rate of distance with respect to time.

It follows from the task content that the rate at which the sloth travels is to be determined.

Since the correct representation of the data is such that the distance and corresponding time pairs are as follows;

(98, 1) , (76, 2) , (54, 3), (32, 4).

Hence, the rate of distance change per time is the speed of the sloth and hence, the rate of distance change is;

Rate = ∆Distance/∆time.

Rate, R = (98 - 76)/(1 - 2)

Rate, R = 22/-1

R = -22 ft/min.

Ultimately, the rate at which the sloth travels is therefore; -22 ft/min.

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Scale factor=.9 is enlarge , reduce , or preserve ?

Answers

The scale factor K = 0.9 is smaller than 1, so this is a reduction.

What type of dilation do we have?

If we have a dimension L, a change of scale of scale factor K gives the new length: K*L

Then:

if K > 1, we have an enlargement.

if K = 1, we have a preservation (nothing changes)

if  0 < K < 1, we have a reduction.

In this case, we have K = 0.9, this is smaller than 1, so we have a reduction.

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Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A (4, 5), B (12,9); 3 to 1 The coordinates of P are:

Answers

By applying line ratio, the coordinates of P are: [10, 8].

How to determine the coordinates of P?

Mathematically, line ratio can be used to determine the coordinates of P and this is modeled by this mathematical expression:

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Given the following parameters:

Point A (4, 5)Point B (12, 9)m:n = 3:1

Substituting the given parameters into the formula, we have;

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

P(x, y) = [(3(12) + 1(4))/(3 + 1)],  [(3(9) + 1(5))/(3 + 1)]

P(x, y) = [(36 + 4)/4], [(27 + 5)/4]

P(x, y) = [40/4, 32/4]

P(x, y) = [10, 8].

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Select the correct answer.
Function g is a transformation of the parent cosine function such that g(x) = 3 cos (x + 2) + 1. Which graph represents function g?

Answers

Option C gives the graph of Function g is a transformation of the parent cosine function such that g(x) = 3 cos(x + 2) + 1 as it the graph of cosine function.

What is cosine function?

The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three primary trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.

What is Graph?

A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Choice C provides a graph of the parent cosine function is transformed into function g such that g(x) = 3 cos(x + 2) + 1 on the cosine function graph.

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Answer:

see photo

be sure to look closely, the top curves go to 4 and the bottom goes to -2, there are 2 with this same shape but the other one does not go high enough.

Step-by-step explanation:

Plato/Edmentum

Which equation has no solution?

Answers

Answer:

The answer is the third one down

Step-by-step explanation:

l5-3xl = -8

Absolute value cannot equal a negative number.

Step-by-step explanation:

l5-3xl = -8

the | | is absolute value to it so it cant be negative number

simplify 20:15
simplify 35:49
simplify 81:36
simplify 27:45
simplify 21:36

pls help me i’m crying rn bro

Answers

Answer:

1. 4:3

2. 5:7

3. 9:4

4. 3:5

5. 7:12

Step-by-step explanation:

I'm sure you don't care how to get the answers, you just want them :)

If a rectangle has a length of 6cm and a width of 4cm what is it's area​

Answers

Answer:

area = l×b

= 6×4

. = 24 cm²

Step-by-step explanation:

this is the answer

Start by using 6x4 and get 24cm Square

the admission fee at a local zoo is $ 1.50 for children and $ 5.00 for adults. on a certain day, 2000 people enter the zoo and $ 7 , 550.00 is collected. how many children and how many adults attended?

Answers

There are [tex]700[/tex] children and [tex]1300[/tex] adults.

What is system of linear equations?

A System of Linear Equations is when we have two or more linear equations working together.

Let [tex]x[/tex] be number of children and [tex]y[/tex] be number of adults.

Since [tex]2000[/tex] people enter the zoo then [tex]x+y=2000.[/tex]

The admission fee at a local zoo is $ [tex]1.50[/tex] for children and $ [tex]5.00[/tex] for adults and $[tex]7550.00[/tex] collected then [tex]1.5x+5y=7550[/tex].

Thus there are two linear equations to solve.

Substitute [tex]x=2000-y[/tex]  in  [tex]1.5x+5y=7550.[/tex]

[tex]1.5(2000-y)+5y=7550[/tex]

[tex]3000-1.5y+5y=7550[/tex]

[tex]3000+3.5y=7550[/tex]

[tex]3.5y=7550-3000[/tex]

[tex]3.5y=4550[/tex]

[tex]y=\frac{4550}{3.5}[/tex]

[tex]y=1300[/tex]

So [tex]x=2000-y=2000-1300=700.[/tex]

Therefore there are [tex]700[/tex] children and [tex]1300[/tex] adults.

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Find the square root. V100

Answers

for the square root you must look for a number that multiplied with itself gives you the indicated value

for this case a number that multiplied by itself gives you 100

[tex]10\times10=100[/tex]

sothe square root of 100 is:

[tex]10[/tex]

Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a
graphing utility, use it to graph the function and verify the real zeros and the given function value.
n= 3:
4 and 4 i are zeros;
f (- 1)= - 255

Answers

The polynomial is f(x) = x³ - 12x² + 64x + 128

Given,

The polynomial has 4, 4-4i, and 4+4i as its roots.

f(-1) equals -255

We have to find a polynomial of degree 3.

If x = 4 is a root, then:

(x - 4) is a factor of the polynomial.

If x = 4 - 4i is a root,

Then,

(x - 4 + 4i) is a factor of the polynomial.

If x = 4+4i is a root.

Now,

(x - 4 - 4i) is a factor of the polynomial.

All the three roots are of the same polynomial.

So,

The polynomial is the product of these factors.

f(x) = k(x - 4) (x-4+4i) (x-4-4i)

f(x) = k(x - 4) [(x-4)² - (4i)²]

f(x) = k(x- 4) [x² + 16 - 8x + 16]

f(x) = k(x - 4) [x² - 8x + 32]

f(x) = k[x³ - 8x² + 32x - 4x² + 32x - 128]

f(x) = k[x³ - 12x² + 64x + 128]

Now find "k", we know that f(-1) = -255.

f(-1) = k[(-1)³ - 12(-1)² + 64(-1) + 128]

-255 = k[-1 - 12 - 64 + 128]

-255 = k × -255

k = 1

That is, the polynomial is f(x) = x³ - 12x² + 64x + 128

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three friends earned more than $200 washing cars. They pay their parents $28 for supplies and divided the rest of the money equally. right an equality to find possible amount each friend earned. Identify what your variable represents.

Answers

x is each friend

3x + 28 > 200

3x > 172

x > $57.33

if right can a i get brainliest pls

Answer:

Step-by-step explanation: $200-$28= $172

                                                $172÷3=$57.33

Evaluate if x = 4. x² + x = [?]​

Answers

Answer: The answer is 0.

X = 0 when evaluated.

Step-by-step explanation:

x^2 - 2x

The value of x^2 - 2x for x = 4 is calculated as below

Now, substituting x=4 in the given equation, we get
x^2 - 2x = 4^2 - 2 x 4
= 16 - 8
= 8
Therefor, the answer is 8

write the equation of a line through ( 3, 1), parallel to y = 2/3x + 1.

Answers

Answer:

y = 2/3 x - 1

Step-by-step explanation:

Parallel slopes are equal.

y = mx + b

m = 2/3

x = 3  Use the x and y given in the point (3,1)

y = 1

Solve for b the y-intercept

y = mx + b

1 = 2/3(3) + b

1 = 2 + b  Subtract 2 from both sides

-1 = b

y= mx +b

y = 2/3x -1

answer: y= 2/3x - 1

to be parallel, you need the same slope but to pass through the point ( 3, 1), you would need a different y- intercept.

Whats 1+1?

(Just a joke)

Answers

Answer:

either 11 or 21

Step-by-step explanation:

tho I might be 2

i need help with the image below

Answers

Answer:

A. k ≥ 8.14

Step-by-step explanation:

Hope this helps! :))

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