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LenKa [72]
3 years ago
13

Felix scored 52 and 64 on his first two test in Sociology 212. What must he get on the third test to get an average of the three

test above 70?
Mathematics
1 answer:
Pie3 years ago
4 0

Answer:

Felix's third test score must be greater than 94

Step-by-step explanation:

Felix scores on Sociology 212 tests:

1st test - 52

2nd test - 64

3rd test - x

Find the average of Felix's scores:

\text{Average}=\dfrac{\text{The sum of all scores}}{\text{The total number of scores}}\\ \\\text{Average}=\dfrac{52+64+x}{3}

An average of the three test must be above 70, this means

\text{Average}>70\\ \\\dfrac{52+64+x}{3}>70

Solve this inequality. First, multiply it by 3:

52+64+x>210\\ \\x>210-52-64\\ \\x>94

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Answer:

First,

the age of the son: s

the age of the father is 2 less than 7 times the age of his son: 7s - 2

In 3 years, the sum of their ages will be 52, In 3 years, the age of the sun will

increase 3, so s+3. Also, the age of his

father also increase 3, (7s-2)+3

(s+3)+ [(7s-2)+3] = 52 is the equation.

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2 years ago
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Answer: 6

Step-by-step explanation:

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2 years ago
Kite WXYZ is graphed on a coordinate plane. What is the approximate perimeter of the kite? Round to the nearest tenth. 10.6 unit
Archy [21]

<u>Answer-</u>

<em>Perimeter of the kite is </em><em>16.2 units</em>

<u>Solution-</u>

As WXYZ is a kite, so two disjoint pairs of consecutive sides are congruent, i.e WX=XY and WZ=ZY

So, perimeter of the kite WXYZ is,

=2(\overline{WX}+\overline{WZ})

And

\overline{WX}=\sqrt{(1-3)^2+(1-4)^2}=\sqrt{(-2)^2+(-3)^2}=\sqrt{4+9}=\sqrt{13}

\overline{WZ}=\sqrt{(1-3)^2+(1+3)^2}=\sqrt{(-2)^2+(4)^2}=\sqrt{4+16}=\sqrt{20}

So, perimeter will be,

P=2(\sqrt{13}+\sqrt{20})=16.15\approx 16.2\ units

4 0
3 years ago
Read 2 more answers
VERY URGENT.
NemiM [27]

Answer:

(1)Base Area= 81 square yards.

(2)

  • 3 ft long and 16 ft wide
  • 6 ft long and 8 ft wide
  • 24 ft long and 2 ft wide

(3)Height=12 Units

Step-by-step explanation:

<u>Question 1</u>

Volume of the rectangular prism=2,592 cubic yards.

Height of the rectangular prism=32 yards

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=2592

32lb=2592

lb=2592/32=81

Base Area= 81 square yards.

<u>Question 2</u>

Volume of the rectangular prism=432 cubic feet.

Height of the rectangular prism=9 feet

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=432

9lb=432

lb=432/9=48

Base Area= 48 square yards.

Any dimension whose product is 48 is a possible choice.

They are:

  • 3 ft long and 16 ft wide
  • 6 ft long and 8 ft wide
  • 24 ft long and 2 ft wide

<u>Question 3</u>

<u />

Volume of the rectangular prism=960 cubic units.

Base Area of the rectangular prism, lb=80 Square Units

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=960

80h=960

h=960/80=12

Height= 12 units.

4 0
3 years ago
Shauna makes 24 cupcakes per hour. She has already made 48 cupcakes. Let x represent the amount of time Shauna spends making the
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Y=24x+48

24 per hour (x) plus the 48 she already made would equal a total (y).
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