Suppose you are running in a marathon for charity, looking to raise at least $1500. People may sponsor you by donating either $15 or $25 for every mile you run. However, you cannot have more than 100 people sponsoring you for this marathon.
Now, create a system of inequalities using the above information (use x and y as the variables).

Answers

Answer 1

Answer:

See below ~

Step-by-step explanation:

Let :

x = people donating $15 when you runy = people donating $25 when you run

Two inequalities created are :

15x + 25y ≥ 15003x + 5y ≥ 300 [Simplified] ⇒ Inequality 1x + y ≤ 100 ⇒ Inequality 2

Solving

Answer 2
x + y ≤ 10015(x) + 25(x) ⩾ $1500

Let the people paying $15 be "x" and $25 be "y"

1st inequality

15(x) + 25(x) ⩾ $1500

2nd inequality

x + y ≤ 100


Related Questions

Sasha is mailing a photo box that has the dimensions shown in a rectangular box that is 12.5 inches long, 4.2 inches wide, and 12.5 inches tall. If one bag of packing material hold 75 cubic inches of material, of how many bags does Sasha need to buy to fill the space around the photo box?

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Answer:

Step-by-step explanation:

i dont know but i need the answer now

Write the equation of a circle in the xy-plane with center (0, 2) and a radius with endpoint (⅓ , 4).

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Answer:

Step-by-step explanation:

The slope of the line that passes through points (3,−2) and (3,10) is Select Choice .
1.0
2.3
3.4
4.undefined

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the slope of the line passing through points (3, -2) and (3, 10)?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

We can use the slope formula:-

[tex]\boxed{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]

[tex]\boxed{\frac{10-(-2)}{3-3}}[/tex]

[tex]\boxed{\frac{12}{0}}[/tex]

undefined

Remember, if we divide a number by zero, the result is infinity, and infinity is not a number.

Good luck.

     

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What is the volume of the following triangular prism?



780 in 3
900 in 3
450 in 3
180 in 3

Answers

Answer:

450 in ^3

Step-by-step explanation:

V=1/4h (to the root)﹣a^4+2(ab)^2+2(ac)^2﹣b^4+2(bc)^2﹣c^4

a-5

b-13

c-12

h-15

so put these numbers into the formula.

You get 450 as your answer.

I hope this helps, have a lovely day.

can someone help me with this? Thank you!

Answers

Answer:

12.56 m²

Step-by-step explanation:

Given,

π = 3.14

d = 4m

To find : A

Formulas : -

1 ) r = d/2

2 ) A = πr²

r = 4 / 2 = 2m

A = πr²

  = 3.14 x 2²

  = 3.14 x 2 x 2

A = 12.56 m²

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: a = \pi {r}^{2} [/tex]

r = d/2 = 4/2 = 2 m

[tex]\qquad \sf  \dashrightarrow \: a = 3.14 \times {2}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 3.14 \times {4}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 12.56 \: \: m {}^{2} [/tex]

how can I find the exponential function from a table?

Answers

the hmmm cheap way to go about is, usually using the x = 1 and x = 0 pairs.

[tex]y = ab^x\hspace{5em} \begin{array}{|rr|ll} \cline{1-2} x&y\\ \cline{1-2} -2&1\\ -1&3\\ 0&9\\ 1&27\\ 2&81\\ \cline{1-2} \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=9 \end{cases}\implies 9~~ = ~~ab^0\implies 9=a(1)\implies 9=a~\hfill \underline{y=9b^x} \\\\\\ \begin{cases} x=1\\ y=27 \end{cases}\implies 27~~ = ~~9b^1\implies \cfrac{27}{9}=b^1\implies 3=b~\hfill \underline{y=9(3)^x}[/tex]

12*11*35 is supposed to be 4260 right? Does anyone know the steps for this? (CBSE Grade 6)

Answers

Step One: Line Up All the Digits. First, line up all of the numbers according to their place value.
Step Two: Multiply by the Ones Digit. ...
Step Three: Add a Zero Place Holder. ...
Step Four: Multiply by the Tens Digit. ...
Step Five: Add the Two Answer Rows Together.

What is the value of log279?
-3/2, -2/3, 2/3, 3/2

Answers

Answer:

2/3

Step-by-step explanation:

log27(9)

Factor the number: 27=3³

= log3³(9)

Apply log rule: loga^b(x) - 1/b loga(x).

log3³(9) =1/3 log3³(9)

=1/3 log3³(9)

Factor the number: 9=3²

=1/3 log3³(3²)

Apply log rule: loga(a^b) =b

log3 (3²) =2

1/3×2

=2/3

4.) The concert tickets are $190.00 but my friend can get us 20% off. How much will the ticket cost with the discount?

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Answer: $152

20% = 0.20, 190 x0.20 = 38
190 - 38 = $152

Write the product using exponents.

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6.4^4 (b^3) or as shown in photo

What is the completely factored form of x2 – 16xy 64y2? xy(x – 16 64y) xy(x 16 64y) (x – 8y)(x – 8y) (x 8y)(x 8y)

Answers

The complete factored  form of the quadratic expression is (x-8y)(x-8y)

Factorizing quadratic expression

Quadratic expressions are expressions that has a leading degree of 2

Given the expression

x^2 – 16xy + 64y^2

Factorize

x^2 - 8xy - 8xy + 64y^2

Group

(x^2 - 8xy) - (8xy + 64y^2)

x(x-8y) - 8y(x - 8y)

Since (x-8y) is common, hence;

x^2 - 8xy - 8xy + 64y^2 = (x-8y)(x-8y)

The complete factored  form of the quadratic expression is (x-8y)(x-8y)

Learn more on factoring here: https://brainly.com/question/65494

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Answer:     c on edg

Step-by-step explanation:

                                                             

Which system of equations is graphed on the coordinates below

Answers

Answer:

C

Step-by-step explanation:

Blue line:

[tex](-4, 0), (0, -2) \\m = \frac{\triangle y}{\triangle x} = \frac{0 - (- 2)}{-4 - 0} = \frac{2}{-4} = -\frac{1}{2}\\\text{y-intercept (c) is when x = 0}\\x = 0 \rightarrow y = -2\\y = mx + c\\y = -\frac{1}{2}x - 2\\2y = -x - 4\\x + 2y = -4[/tex]

Red line:

[tex](5, 0), (0, -5) \\m = \frac{\triangle y}{\triangle x} = \frac{0 - (- 5)}{5 - 0} = \frac{5}{5} = 1\\\text{y-intercept (c) is when x = 0}\\x = 0 \rightarrow y = -5\\y = mx + c\\y = 1x - 5\\y - x = -5\\-y + x = 5\\x - y = 5[/tex]

The scale of this map is 1 inch = 50 miles. How many miles is it between Milwaukee and Muskegon? Assume that the distance between Milwaukee and Muskegon is 1.5 inches.

Answers

[tex]\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]

75 miles

Step-by-step explanation:

On map

The distance between Milwaukee and Muskegon is 1.5 inches

While in real

1 inch = 50 miles

So the actual distance will be

1.5 × 50

75 miles

Answer:

75 miles

Explanation:

Here map to actual to scale: 1 inch = 50 miles

On map distance: 1.5 inches

To find actual distance, simply multiply map distance by scale factor

Actual Distance : 1.5 × 50 = 75 miles

If 12 is the mean score of the following set of numbers:12,10,x,8,10,find the value of x.
A.12
B.15
C.20
D.40
E.60​

Answers

Answer:

C.20

Step-by-step explanation:

12+10+8+10+20=60

60/5=12

(5 is the number of numbers, 12,10,8,10,20)

What is the volume of one rubber ball? round to the nearest hundredth of a centimeter. cm3 if the price of the rubber needed to produce a ball is $0. 0045/cm3, what is the cost of producing one ball? round to the nearest cent. $ if the company sells a ball for $0. 50, how much profit will it make on each ball? $.

Answers

The cost of producing one ball will be $ 0.09261. Then the profit will be if each ball is $ 0.41.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A toy company produces rubber balls that have a radius of 1. 7 cm.

A sphere has a radius of 1. 7 centimeters.

Then the volume of the ball will be

Volume = 4/3 x π x r³

Volume = 4/3 x π x 1.7³

Volume = 20.58 cubic cm

If the price of the rubber needed to produce a ball is $0.0045/cm³.

Then the cost of producing one ball will be

→ 20.58 x 0.0045

→ $ 0.09261

If the company sells a ball for $0.50. Then the profit will be

Profit = 0.50 - 0.09261

Profit = $ 0.41

More about the geometry link is given below.

https://brainly.com/question/7558603

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3+[tex]3+\sqrt{2}/4\sqrt{2}+2[/tex]

Answers

this is the answer unless the 2/4 is meaning divide the two if thats the case the answer is 48+√2 over 8

A photograph measures 20 cm by 15 cm. A strip of constant width is to be added from each side of the photo, so the area is increased to 750 cm2.
Find the width of the cut.

Answers

Answer:

The area is 292.5 cm2

Find the value of the triangle shown below
X=

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this is a isosceles triangle. all sides degrees added together (triangle) is equal to 180.

we know one side is 55°, and since its isosceles, it will be congruent on both sides. so there are 2 55°.

since the sum of all angles is 180°, the equation will be 55°+55°+x=180

combine like terms (55+55), which equals to 110.

last, 180-110 = 70

so the answer will be x = 70°

Alfonso uses a payroll deduction to deposit $120 into his
savings account each month. How much will he save in a year?

Please helppp

Answers

Answer:

1,440

Step-by-step explanation:

If 1/a=1/b+1/c, find a when b=3 and c=2/3

Answers

Answer:

[tex]\frac{1}{a} =\frac{1}{b} +\frac{1}{c} \\ \\\frac{1}{a} = \frac{1}{3} + \frac{1}{2/3} \\\\\frac{1}{a} = \frac{1}{3} + \frac{3}{2}\\\\\frac{1}{a} = \frac{11}{6}\\\\a = \frac{6}{11}[/tex]

Find the sum:
6,449
+ 4,836

Answers

Answer:

11285

Step-by-step explanation:

Answer:

11,285

Step-by-step explanation:

Line up the numbers so that ther columns add up.

Add the two numbers in the column starting from the right.

The first digit goes to the next column over to the left and the second digit goes directly under the column of the numbers that were added together.

Repeat the steps above till there are no columns left.

if m = 12 what s the vaule of expression 4m-6

Answers

Answer:

42

Step-by-step explanation:

To fine the value of the expression 4m-6 when m = 12, we can plug our value for x (12) into or expression, and then simplify.

So first,

4(12) - 6

Multiply our 4 and 12 ==>

48 - 6

Now subtract the 6 ==>

42

And we have our answer!

Hope this helped!

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

          Evaluate 4m-6 for m=12

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

The value of the expression is 30.

[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]

Simply write the value of m in lieu of m and simplify:-

4(12)-6

Multiply 4 times 12 first, then subtract 6:-

36-6

[tex]\fbox{30}[/tex]

Good luck.

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The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:

A graph titled Distance Vs Time is shown, with Time in hours labeled on x axis and Distance from Island in miles labeled on y axis. The scale on the x axis shows the numbers 1, 2, 3, 4, 5, 6, 7, and the scale on the y axis shows the numbers 0, 22, 44, 66, 88, 110, 132, 154, 176, 198. The graph shows a straight line joining the ordered pairs 0, 22, and 1, 66, and 2, 110, and 3, 154, and 4, 198.

What is the speed of the motorboat?

198 miles per hour
22 miles per hour
44 miles per hour
66 miles per hour

Answers

Using linear function concepts, it is found that the speed of the motorboat is of 22 miles per hour.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, each second, the position increased by 22, hence the slope is of 22. Since velocity is the distance divided by the time, which in this problem is the slope, the speed of the motorboat is of 22 miles per hour.

More can be learned about linear function concepts at https://brainly.com/question/24808124

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Which shape will result from taking a cross section of the cuboid through the points shown?

pentagon
parallelogram
triangle
hexagon

Answers

Answer:

hexagon

Step-by-step explanation:

cross section of the cuboid

please answer question below asap!!

Answers

Answer: I hope this helps!:)

Step-by-step explanation:

The width of the tunnel at ground level is 8 meters and the height of the highest point of the entrance is also 8 meters.
Find the equation of a graph which can accurately model the shape of the tunnel entrance.
(Parabola question!!! pls help)

Answers

Answer:

5.7 meterslong and 5.8meters width

45 Points! Please explain your answer! Brainliest to whoever does the best!

Answers

Answer:

[tex]\sf \boxed{\sf \frac{3}{2} } \ miles \ per \ day[/tex]

Explanation:

[tex]\sf unit \ rate: \dfrac{Total \ distance \ (miles)}{Total \ time \ taken \ (day)}[/tex]

Here given:

[tex]Total \ Distance : 8\dfrac{1}{4} \ or \ 8.25[/tex]

[tex]Total \ Time \ taken : 5\dfrac{1}{2} \ or \ 5.5[/tex]

Find unit rate:

[tex]\rightarrow \sf unit \ rate: \dfrac{8.25 }{5.5 }[/tex]

[tex]\rightarrow \sf unit \ rate: 1.5 \ miles \ per \ day[/tex]

Unit rate

Total distance/Total time8 1/4÷5 1/233/4÷11/233/4×2/113/2mpd

What divided by 8 to equal 3

Answers

Answer: 24

Step-by-step explanation: 24 divided by 8 = 3. Hope this helped.

Southwest Dry Cleaners believes that it will need new equipment in 6 year. The equipment will cost $26,000. What lump sum should be invested today at 10 percent compounded semiannually, to yield $26,000?

Answers

The amount will be equal to $14478.22.

What is compound interest?

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

A = P (1+R/2)^2t

Where, A = Amount after 6 years = $26,000; P = Amount invested now; R = Annual rate of earning = 10% = 0.06; t = time = 6 years.

Substituting;

[tex]26000 = P(1+\dfrac{0.1}{2})^{2*6}=P(1.7958)[/tex]

Therefore, P = 26000/1.7958 = $14478.22

Thus amount will be equal to $14478.22.

To know more about Compound interest follow

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round 9.50 to the nearest whole number

Answers

it would be 10 bc ten is the next number i guess

Answer:

10 because 9.50 is closest to 10 and 5 or higher, you round up.

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