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antiseptic1488 [7]
2 years ago
9

Sarah bought 18 boxes of 65 pens at $12 a box. She sold 378 of them at 3 for $1.00 and the rest at 4 for $1.00. Find her total p

rofit.
Mathematics
1 answer:
ziro4ka [17]2 years ago
8 0

Answer:

108!

Step-by-step explanation:

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43 coins, no nickels, $4.51 equal amount amount of pennies and dimes, how many of each coin
Sonbull [250]
Set up
Let the dimes = d
Let the pennies = p
Let the quarters = q

Equations
You cannot mean that the pennies and dimes have equal numbers. That would mean that each had 21.5 members. Now could you mean that the dime and penny amount could be the same with 43 coins that total 4.00. Four dollars means that you need 40 dimes alone. It must mean that you are including quarters. 

p + d + p = 43          (1)
p = d                        (2)
p +10d +25q = 451  (3)

Note how this last equation = was derived. You have to multiply the dimes by 10 and he quarters by 100 and the total by 100 to get the numbers all in pennies.

Put the results of 2 into 1.
2p  + q = 43                   (4)  
You need to modify equation 3 as well.
p + 10p + 25q = 451
11p + 25q  = 451           (5)

Solve the new equations
2p +  q = 43               (4)
11p + 25q = 451        (5)

Multiply 4 by 25
25(2p- + q = 43)
50p + 25q = 1075     (6)  Subtract (5) from (6)
<u>11p + 25q = 451
</u>39p = 624                        Divide by 39
p = 624 / 39
p = 16

Since the pennies and dimes are equal there are 16 dimes
p + d + q = 43
16 + 16 + q = 43
32 + q = 43
q = 11

Check
16 + 10*16 + 11*25 = ?
16 + 160 + 275  = ?
451 = ?

Nice problem. Thanks for posting.
3 0
3 years ago
Iman’s favorite colors are \blue{\text{blue}}bluestart color #6495ed, start text, b, l, u, e, end text, end color #6495ed and \p
Margaret [11]

Answer: What is the question lol?

Step-by-step explanation:

8 0
2 years ago
1.5x+0.75y what does x variable
Illusion [34]

Answer:

1.5

Step-by-step explanation:


3 0
3 years ago
Solve usuing synthetic divison and list the steps/explain answer.<br> (7m^(3)+16m^(2)-7m+27)-:(m+3)
zloy xaker [14]

Answer:

7m² - 5m + 8 + 3/(m+3)

Step-by-step explanation:

7m³+16m²-7m+27

(7m³+21m²-5m²-15m+8m+24+3)/(m+3)

[7m²(m+3) - 5m(m+3) + 8(m+3) + 3]/(m+3)

7m² - 5m + 8 + 3/(m+3)

6 0
3 years ago
Read 2 more answers
Harold paid 5% in sales tax on his new "smart fabric" warm-ups.
natita [175]

Answer:

The pre-tax price of "smart fabric" warm-ups is $745 .

Step-by-step explanation:

Let us assume that the pre-tax price of the "smart fabric" warm-ups be x .

As given

arold paid 5% in sales tax on his new "smart fabric" warm-ups.  

if harnold paid 37.25 in sales tax on the warm ups .

5% is written in the decimal form .

=\frac{5}{100}

= 0.05

Equations becomes

0.05 × x = 37.25

0.05x = 37.25

x = \frac{37.25}{0.05}

x = $745

Therefore the pre-tax price of "smart fabric" warm-ups is $745 .

3 0
3 years ago
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