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tamaranim1 [39]
3 years ago
13

Martin works at bluebell ice cream parlor.He earns $87.50 for every 7 hours of work.Based on this information how much money wou

ld martin earn for 28 hours of work?
Mathematics
1 answer:
faust18 [17]3 years ago
4 0

Martin will earn $350 for 28 hours of work.

Step-by-step explanation:

Given,

Amount earned in 7 hours = $87.50

Ratio of time to amount earned = 7:87.50

Let,

x be the amount earned in 28 hours.

Ratio of time to amount earned = 28:x

Using proportion;

Ratio of time to amount earned :: Ratio of time to amount earned

7:87.50::28:x\\

Product of mean = Product of extreme

7*x=87.50*28\\7x=2450

Dividing both sides by 7

\frac{7x}{7}=\frac{2450}{7}\\x=350

Martin will earn $350 for 28 hours of work.

Keywords: ratio, proportion

Learn more about proportion at:

  • brainly.com/question/1388658
  • brainly.com/question/1414350

#LearnwithBrainly

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10x^3 y^-5 z^-2 if x=3 y=2 and z=5 express your answer as a reduced fraction
sineoko [7]

Answer:

\large\boxed{\dfrac{27}{80}}

Step-by-step explanation:

Put x = 3, y = 2 and z = 5 to the given expression 10x^3y^{-5}z^{-2}:

10(3^3)(2^{-5})(5^{-2})\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{10(27)}{(2^5)(5^2)}=\dfrac{270}{(32)(25)}=\dfrac{270}{800}=\dfrac{27}{80}

7 0
3 years ago
A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions
salantis [7]

Dimensions are length 20 meter and width 14 meter

<em><u>Solution:</u></em>

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

<em><u>A rectangle has width that is 6 meters less than the length</u></em>

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

<em><u>The area of the rectangle is given by formula:</u></em>

Area = length \times width

<em><u>Substituting the values we get,</u></em>

Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0

<em><u>Solve the above equation by quadratic formula</u></em>

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}

a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14

Since, length cannot be negative, ignore a = -14

<em><u>Thus solution of length is a = 20</u></em>

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0
4 years ago
3 Simple Questions! Help! 99 Points! Brainliest!
WARRIOR [948]

Answer:

1.       ridescost+admission=total

if x=number of tickets and y is total and cost per ride is 1.25 then

1.25x+admission=y

if we solve

when x=25, y=43.75

1.25(25)+admission=43.75

31.25+admission=43.75

minus 31.25 from both sides

admission=12.50

a.

y=1.25x+12.5

b.

x is number of tickets and y is total cost

c. math, seriously, just read what is above option a (the one in the top of the answer)

if you're too lazy then:

ridescost+admission=total

if x=number of tickets and y is total and cost per ride is 1.25 then

1.25x+admission=y

if we solve

when x=25, y=43.75


2.    

(a)  

m = (y2 - y1) / (x2 - x1) = (4 - 9)/(-2 - 8) = -5/(-10) = 1/2  

(b)  

y - y1 = m(x - x1)  

Using the first given point,  

y - 9 = (1/2)(x - 8)  

Using the second given point,

y - 4 = (1/2)(x + 2)

note they both simplify to  

y = (1/2)x + 5  

(c)  

y = (1/2)x + 5


3.        

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What multiplication problem does the model show? And why? please explain.
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This problem shows 2/5 times 1/3 (Choice C).  You can determine this by looking at the number of complete columns that are shaded out of the total number of columns(2/5).  The look at how many complete rows are shaded out of the total number of rows shown(1/3).  The overlapping part becomes the answer to the multiplication of these 2 fractions.
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Lesedi is X years old, how old was Lesedi 5 years ago?
Kazeer [188]

(x - 5) years old

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5 years Ago:

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2 years ago
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