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sergeinik [125]
3 years ago
8

Lizzy and Ella sold 10 boxes of cookies for $55.50. How much does each box of cookies cost? Show all your work and explain how y

ou got your answer.
Mathematics
1 answer:
densk [106]3 years ago
5 0
55.50/ 10 boxes =5.50 that is  cost of 1 box. 
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(HELP ASAP PLEASE!!)
olasank [31]

Answer:

Shirts = $7

Shorts $17

Step-by-step explanation:

Let:

T - shirts

S - shorts

We can make two equations out of this problem:

4T + 3S = $79

7T + 8S = $185

Through substitution we can solve for one of the unknowns. We make one equation to solve for an unknown

4T+3S=\$79\\\\3S = \$79-4T\\\\S=\dfrac{\$79-4T}{3}

We use the formula of S and insert it into the other equation:

7T+8(\dfrac{\$79-4T}{3}) = \$185\\\\7T + \dfrac{\$632-32T}{3}=\$185\\\\\dfrac{\$632-32T}{3}=\$185-7T\\\\\$632-32T=3(\$185-7T)\\\\$632-32T=\$555 - 21T\\\\-32T+21T=\$555-\$632\\\\-11T=-\$77\\\\\dfrac{-11T}{11}=\dfrac{-\$77}{11}\\\\T = \$7

Thus T-shirts are $7 each.

Now that we know T, we can use it to solve for the other unknown. You can use it on any of the formulas.

4T+3S=\$79\\\\4(\$7) + 3S = \$79\\\\\$28+3S =\$79\\\\3S=\$79-\$28\\\\3S=\$51\\\\S=\dfrac{\$51}{3}\\\\S = \$17

We know then that Shorts are $17 each.

7 0
3 years ago
3) Valerie works at a local amusement park. She earns $9.80 per hour. She 20 points
NemiM [27]
<h3>Answer:  Choice A</h3><h3>9.80h+10 = 88.40</h3>

===========================================================

Work Shown:

  • h = number of hours worked.
  • 9.80h = amount of money earned after working h number of hours (ignoring the meal bonus).
  • 9.80h+10 = total amount of money earned after adding on the meal bonus.
  • 9.80h+10 = 88.40 is the equation we use since the total 9.80h+10 is the same as the total she earned 88.40 dollars.

--------------------

Extra info (optional section)

If you want to solve for h, then you could follow these steps.

9.80h+10 = 88.40

9.80h = 88.40-10 ... subtract 10 from both sides

9.80h = 78.40

h = 78.40/9.80 .... divide both sides by 9.80

h = 8

Valerie worked 8 hours on Friday.

As a check,

9.80h + 10 = 88.40

9.80*8 + 10 = 88.40

78.40 + 10 = 88.40

88.40 = 88.40

The answer is confirmed.

3 0
3 years ago
If AC=5cm, BC=12cm, and m AC= 40 degrees what is the radius of the circumscribed circle
melamori03 [73]
Let's assume they meant C=40 degrees.  With an angle like that they're asking for approximation; we'll oblige.

The circumradius is the product of the triangle sides divided by four times the area.

Here we have remaining side given by the Law of Cosines.

AB^2 = AC^2 + BC^2 - 2\ AC \ BC \cos C

AB^2 = AC^2 + BC^2  - 2 AC \ AB \cos C = 5^2 + 12^2 - 2(5)(12) \cos 40^\circ

AB = \sqrt{  169 - 120 \cos 40 ^\circ}  \approx 8.77921789

The area is \frac 1 2\ AC \ BC \sin C = \frac 1 2 (5)(12) \sin 40^\circ \approx 19.283628



The circumradius is  r \approx \dfrac{(5)(12)(8.77921789 )}{ 4 (19.283628) }  = 6.829019329




5 0
4 years ago
john spent half of his weekly allowance at the batting cages. to earn more money his parents let him vacuum the house for $6. wh
KATRIN_1 [288]

Answer:

$28

Step-by-step explanation:

First to solve this get the original amount before his parents gave him $6

20-6=14

So he had $14 after spending it at the batting cages.

It is stated he spent half of his money there so multiply 14 by 2

14 x 2=28

So he has a weekly allowance of $28


4 0
3 years ago
Solve for a An + c = d
blsea [12.9K]

Step-by-step explanation:

An + c = d

an=d-c

a=(d-c)/n is your answer

4 0
3 years ago
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