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lisov135 [29]
3 years ago
9

A student has scores of 85,83,98 and 77 on four quizzes. What must she score on the fifth quiz to have an average of at least 84

?
Mathematics
1 answer:
natulia [17]3 years ago
7 0
We need to find the solution to:
(85 + 83 + 98 + 77 + x) / 5 >= 84 where x is the score in the last test
This is the same as:
(343 + x) / 5 >= 84
Multiplying both sides by 5 we get
343 + x >= 420
Subtracting 343 from both sides we get
x >= 77

There for the student must get a score of at least 77 on the last tests.
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A glass is 1 3 full. Then 40cm3 of orange juice is poured in. The glass is now 5 7 full. What is the total volume of the glass?
Effectus [21]

Answer:

V= 105cm^3

Step-by-step explanation:

V=volume

(1/3)V+40=(5/7)V

(5/7)V-(1/3)V=40

(15/21)V-(7/21)V=40

(8/21)V=40

(21/8)(8/21)V=(21/8)(40

V=21*5

V=105 cm3

(1/3)(105)=35, 35+40=75, 75/105=15/21=5/7

3 0
3 years ago
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He variable y is directly proportional to the variable x . If y = 10 when x = 6, what is the value of y when x = 15?
Delicious77 [7]

Answer:

B. 25

Step-by-step explanation:

10+6=16

if it is proportional, then it would be 25 to get 15.

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3 years ago
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Peter was given 40 words to spell to qualify for a prize. He must spell at least 90% of those words correctly. At least how many
AnnZ [28]

Answer:

He should have to spell at least 36 of these words correctly.

Step-by-step explanation:

40 words.

He must spell at least 90% of those words correctly.

At least how many words should he have to spell correctly to get the prize?

90% of 40. So

0.9*40 = 4*9 = 36

He should have to spell at least 36 of these words correctly.

6 0
3 years ago
A circular swimming pool has a radius of 28ft. There is a path all the way around the pool that's 4ft wide. A fence is going to
Natalka [10]

Answer:

Therefore 200.96 ft.of fencing are needed to go around the pool path.

Step-by-step explanation:

Given, a circular swimming pool has a radius of 28ft. There is a path all the way around the pool. The width of the path 4 ft.

The radius of the outside edge the pool path is

= Radius of the pool + The width of the path

= (28+4) ft

= 32 ft.

To find the length of fencing, we need to find the circumference of outside the pool path.

Here r= 32 ft

The circumference of outside edge of the pool path

=2\pi r

=(2\times 3.14 \times 32) ft

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Therefore 200.96 ft.of fencing are needed to go around the pool path.

3 0
3 years ago
Select the correct answer.
malfutka [58]
It is definitely a reflection over the horizontal (x) axis, but i think the dilation is by 2
5 0
3 years ago
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