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Verdich [7]
1 year ago
8

Write an algebraic expression that represent the sum of 8 and two-third of x?

Mathematics
1 answer:
lesantik [10]1 year ago
3 0

We have to sum 8 and two-third of x, so we must multiply x by 2/3 and sum it with 8,

thus, the expression is

\frac{2}{3}x+8

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What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth
uysha [10]

Answer:

The perimeter of the trapezoid is 38.25\ units

Step-by-step explanation:

we know that

The perimeter of the trapezoid is the sum of its four side lengths

so

In this problem

P=QR+RS+ST+QT

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

Q(8, 8), R(14, 16), S(20, 16),T(22, 8)

step 1

Find the distance QR

Q(8, 8), R(14, 16)

substitute the values in the formula

d=\sqrt{(16-8)^{2}+(14-8)^{2}}

d=\sqrt{(8)^{2}+(6)^{2}}

d=\sqrt{100}

QR=10\ units

step 2

Find the distance RS

R(14, 16), S(20, 16)

substitute the values in the formula

d=\sqrt{(16-16)^{2}+(20-14)^{2}}

d=\sqrt{(0)^{2}+(6)^{2}}

d=\sqrt{36}

RS=6\ units

step 3

Find the distance ST

S(20, 16),T(22, 8)

substitute the values in the formula

d=\sqrt{(8-16)^{2}+(22-20)^{2}}

d=\sqrt{(-8)^{2}+(2)^{2}}

d=\sqrt{68}

ST=8.25\ units

step 4

Find the distance QT

Q(8, 8),T(22, 8)

substitute the values in the formula

d=\sqrt{(8-8)^{2}+(22-8)^{2}}

d=\sqrt{(0)^{2}+(14)^{2}}

d=\sqrt{196}

QT=14\ units

step 5

Find the perimeter

P=10+6+8.25+14=38.25\ units

6 0
3 years ago
Read 2 more answers
What is the weekly earnings of $4.75 per hour, 37 hours if all hours over 50 are paid time and a half?
Stels [109]

37* 4.75 =175.75

no overtime since there are no hours over 50

Answer: $175.75


7 0
3 years ago
HELP PLEASE
olga55 [171]
The slope of a line includes a x and y axis, or y/x. Your two answers are -7/4 and -8/5. Hope that helps!
6 0
3 years ago
Sue volunteered to make cupcakes for the football team's bake sale. She plans to sell them for 50 cents apiece. How much cupcake
Crank
She has to make 400 in order to raise $200 because if she was selling them for $1 she would need 200 so just double that since she's only selling them for $0.50
8 0
3 years ago
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What is the value of 1 x ÷ 5, when x = 80? enter your answer in the box.
slava [35]
Insert 80 into the equation
1(80) / 5
80/5 = 16
7 0
3 years ago
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