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Doss [256]
2 years ago
11

Marsha’s scores on seven tests were: 82, 78, 77, 93, 85, 91, and 86. What does she need to score on her next test to have an 86

average?
Mathematics
1 answer:
Naddika [18.5K]2 years ago
8 0

Answer:

The score of her next test  is 96

Step-by-step explanation:

<em>If there is a set of data with x terms, then the average is the sum of their values divided by x</em>

<em>Average = sum of values of the x terms ÷ x</em>

We will use this rule to solve the question

∵ Marsha's scores on 7 test were 82, 78, 77, 93, 85, 91, 86

→ Find her total scores on the seven tests

∴ Her total scores = 82 + 78 + 77 + 93 + 85 + 91 + 86 = 592

∴ Her total scores on the 7 tests is 592

∵ Her average score on the 8 test is 86

→ Use the rule of the average to find her total score in the 8 test

∵ 86 = total scores ÷ 8

→ Multiply both sides by 8

∴ 86 × 8 = total scores × 8 ÷ 8

∴ 688 = total scores

∴ Her total scores on the 8 tests is 688

∵ Her total scores on the 7 test = 592

∵ Her total scores on the 8 test = 688

→ The difference between both totals is the score of her next test

∴ The score of her next test = 688 - 592 = 96

∴ The score of her next test  is 96

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Lesechka [4]
Divide 90.65 by 12.95
90.65/12.95 = 7 books
3 0
3 years ago
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ok so if you have 3 and 1/4 pizza and want to subtract 3/4 out of it,and get 3x more slices then you had from a friend after sub
Brilliant_brown [7]

Answer:

You have 2 and 1/2 pizzas and your friend has 5/6 of a pizza.

Step-by-step explanation:

You have 3 1/4 pizzas. If you get rid of 3/4 of a pizza, you will end up with 2 2/4 pizzas.

To make it easier, you can just change the values into improper fractions: 3 1/4 = 13/4

13/4 - 3/4 = 10/4

10/4 = 2 2/4 pizzas

(2 2/4 = 2 1/2)

Anyways! You now have 2 and a half pizzas. You have 3 times the amount of pizza that your friend has. In other words, your friend has 1/3 the amount of pizza that you have. You can solve for this in two ways, whichever way you solve it is up to you.

  1. You can solve this problem by dividing the amount of food you have by 3: \frac{2\frac{1}{2} }{3} which equals 0.8333... (the 3 is repeating). But you can just keep your final answer in fraction form if you want to: \frac{2.5}{3} = \frac{5}{6}
  2. You can solve this problem by multiplying 1/3 to the amount of food you have: \frac{1}{3} * 2 \frac{2}{4}\\=\frac{10}{12}\\ =\frac{5}{6}

You have 2 and 1/2 pizzas and your friend has 5/6 of a pizza.

8 0
2 years ago
A basketball team sells tickets that cost​ $10, $20,​ or, for VIP​ seats,​ $30. The team has sold 3296 tickets overall. It has s
rodikova [14]

Answer:

1022 of $10 tickets, 1326 of $20 tickets, 948 of VIP $30 tickets

Step-by-step explanation:

We can set-up a system of equations to find the number of each kind of ticket. We know there are the cheap tickets c, the medium tickets m and the VIP tickets v. Since 3296 tickets were purchased, then c+m+v=3296.

We also know that 304 more medium priced tickets have been sold then cheap tickets. We write 304+c=m.

Lastly, we know that a total of $65,180 was sold. We write 10c+20m+30v=65,180.

We will solve by substituting one equation into the other. We substitute m=304+c into c+m+v=3296. Simplify and isolate the variable v.

c+m+v=3296

c+(304+c)+v=3296

c+304+c+v=3296

2c+304-304+v=3296-304

2c-2c+v=2992-2c

v=2992-2c

We will now substitute this into the remaining equation with our first substitution.

10c+20m+30v=65,180

10c+20(304+c)+30(2992-2c)=65,180

10c+6080+20c+89760-60c=65180

-30c+95840=65180

-30c+95840-95840=65180-95840

-30c=-30660

c=1022

This means 1,022 tickets purchased were $10 tickets. We substitute this equation back into m=304+c to find m.

m=304+1022

m=1326

This means 1,326 were $20 tickets.

Lastly we know 948 VIP tickets were bought because 1022+1326+948=3296


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