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o-na [289]
3 years ago
9

Reid's Hardware discounts all riding lawnmowers 6% to customers paying in cash. If Trey paid $1,278.75 in cash for a riding lawn

mower, then what was the original price of the lawnmower?
Mathematics
1 answer:
otez555 [7]3 years ago
5 0

Answer:

$ 1360.37

Step-by-step explanation:

Suppose we call the original price of the lawnmower x.

That means, to get a discount, the equation would be,

x * 1 -  x * 6% = 1278.75

= (94/100) * x = 1278.75

= (47/50) * x = 1278.75

x = 1278.75 * 47 / 50

= 1360.37

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Please help!!!!!!!!!!!!!
aivan3 [116]

Answers:

  • A
  • C
  • D

Step-by-step explanation:

<em>We must simplify each option to see if they are equivalent to -\frac{3}{8}.</em>

<em>Lets try A.</em>

-\frac{6}{16} can be simplified to -\frac{3}{8} by dividing both the numerator and denominator by 3.

-\frac{6}{16} ÷ \frac{3}{3} = -\frac{3}{8}

A is correct!

<em>Lets try B</em>

\frac{12}{32} simplifies to \frac{3}{8}. However, because this answer is not negative, it is not equivalent.

<em>Lets try C</em>

There is a negative in the numerator, making this fraction negative. So yes, \frac{-3}{8} = -\frac{3}{8}.

  • Bonus Info: If there was a negative in both the numerator and denominator, the two negatives would cancel eachother out, making the fraction positive

C is correct!

<em>Lastly, Lets try D</em>

There is a negative in the denominator, so this fraction is negative. \frac{9}{-24} can be simplified by dividing by 3 to -\frac{3}{8}.

\frac{9}{-24} ÷3 = -\frac{3}{8}

D is correct!

  • Hope this helped you!~

<em />

6 0
3 years ago
christen has to run around the rectangle soccer field during practice. The soccer field measures 60 meters long by 45 meters wid
Elena L [17]

Answer:

210 m

Step-by-step explanation:

Perimeter is the distance around the outside of a two-dimensional shape.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

Christen ran around the soccer field, so she ran around the perimeter.

We can find the perimeter by adding all of the side lengths.

Perimeter=60 m+45 m+60 m+45 m

Christen ran 210m.

7 0
3 years ago
Lara has $1,425 in her bank account. Write and solve an equation to show how much money she started with if that amount reflects
makkiz [27]

1,425 + 14% = 1,425.14

3 0
3 years ago
the expression 16t^2 models the distance in feet that an object falls during t seconds after being dropped. what distance will a
Yuri [45]
<span>In this expression, the variable ’t’ stands in for any possible value of seconds. Therefore, since you know how long it takes the object to fall in seconds, you can put this into the expression. 16 x (4^2) = 256. The distance is 256ft.</span>
5 0
3 years ago
Read 2 more answers
Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21
frozen [14]

Answer:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Step-by-step explanation:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

6 0
3 years ago
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