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Damm [24]
2 years ago
13

The amount of money Mr. Brust made this summer was equal to the $55 he started with and the $15 for every lawn he mowed while st

aying at his parents’ house. What’s and equation for this situation?

Mathematics
1 answer:
earnstyle [38]2 years ago
8 0

Let's start by declaring our varibles.

x = number of lawns Mr. Brust mowed

y = total amount of money Mr. Brust made

Let's create our equation.

y = 15x + 55

For part b, we can plug 800 in for y.

800 = 15x + 55

Subtract 55 from both sides.

745 = 15x

Divide both sides by 15

50 = x. Note, I rounded the answer to the nearest integer.

For part c, we can plug 13 in for x.

y = 15(13) + 55

Simplify the right side of the equation.

y = 250

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Take the absolute value of the difference, then divide it by the original amount
|28 - 24.5| / 28 = 3.5/28 = 0.125..now we multiply that by 100 to get it into a percent 0.125 * 100 = 12.5% <== ur answer
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3 years ago
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Kevin and Randy Muise have a jar containing 70 coins, all of which are either quarters or nickels. The total value of the coins
Nikitich [7]

Answer:

50 nickels, 20 quarters.

Step-by-step explanation:

System of equations (q = # of quarters, n = # of nickels):

<em>q + n = 70, 0.25q + 0.05n = 7.50</em>

the first equation can be changed to q = 70 - n, so we are able to <em>substitute q with 70 - n</em>.

So, it will look like <em>0.25*70 - 0.25n + 0.05n = 7.50</em>. This can be simplified to <em>0.2n = 10</em>, which means that n = 50.

Knowing that we can solve <em>q + 50 = 70</em>, which means that q = 20.

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3 years ago
Help again please...
xeze [42]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
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A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo
katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the boxV=x^2z

Volume of the box=12 ft^3\\

Therefore, x^2z=12\\z=\frac{12}{x^2}

The material for the base costs \$0.17/ft^2, the material for the sides costs \$0.10/ft^2, and the material for the top costs \$0.13/ft^2.

Area of the base =x^2

Cost of the Base =\$0.17x^2

Area of the sides =4xz

Cost of the sides==\$0.10(4xz)

Area of the Top =x^2

Cost of the Base =\$0.13x^2

Total Cost, C(x,z) =0.17x^2+0.13x^2+0.10(4xz)

Substituting z=\frac{12}{x^2}

C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}

To minimize C(x), we solve for the derivative and obtain its critical point

C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2

Recall: z=\frac{12}{x^2}=\frac{12}{2^2}=3\\

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

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7 0
3 years ago
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Answer:

62 degrees.

Step-by-step explanation:

The two angles should add up to 180. Thus, 118 plus 62 equals 180.

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