MATHEMATICS HIGH SCHOOL

Solve for K.
3/6 = k /18

Answers

Answer 1
Answer: The value of k is 9.

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Which measurement is the best estimate for the distance between New York City and Washington, D.C.?:A : 331 mm

B : 331 cm

C : 331 m

D : 331 Km

Answers

The best estimate would be D: 331 km

Graph the line with the equation y = 3-5x -4

Answers

Answer:

Step-by-step explanation:

To divide a number by 1,000, move the decimal point _____.four places to the right
four places to the left
three places to the right
three places to the left

Answers

3 places to the left. for example if you divide 5000 by 1000, you get 5 by using this method.

a lab technician mixed a 690 ml solution of water and alcohol, if 3% of the solution is alcohol, how many milliliters of alcohol were used and how many milliliters of water were used?

Answers

To get the milliliters of alcohol used, we must multiply 690 by 0.03. If we do this, we will get 20.70, which means that 20.70 milliliters of alcohol were used. On the other hand, we can get the milliliters of water used through two ways: the first one is by simply subtracting 20.70 from 690, which will give us the answer 669.30. Another would be by multiplying 690 by 0.97, which will also yield the answer 669.30. The number of milliliters of water used was 669.30.

The radius of a circle is 2 feet. What is the length of a 135° arc?

Answers

Answer: length of arc = 4.71 feet

Step-by-step explanation:

An arc is a portion of the circumference of a circle. The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 2 feet

θ = 135 degrees

Therefore,

Length of arc = 135/360 × 2 × 3.14 × 2 = 4.71 feet

Answer:

3​/2

Step-by-step explanation:

Rachna has nickels, dimes, and quarters in her piggy bank. She has $4.65 altogether. She has three more quarters than dimes and twice as many nickels as quarters. How many quarters does Rachna have? a.8
b.11
c.22
d.41

Answers

the value of the coin times the number of coins equals the total value
so
0.05n + 0.10d + 0.25q = 4.65

the we are given that there are "three more quarters than dimes"
this translates to
q = d + 3
or
d = q - 3

then we are also given that there are "twice as many nickels as quarters"
this translates to
n = 2q

we plug d = q - 3 and n=2q
into the first equation and solve for q
0.05(2q) + 0.10(q-3) + 0.25q = 4.65

we distribute/multiply
0.10q + 0.10q - 0.30 + 0.25q = 4.65

then add like terms
0.45q - 0.30 = 4.65

then add 0.30 to both sides
0.45q = 4.95

then divide both sides by 0.45
and we get
q = 4.95/0.45 = 11

therefore there are 11 quarters
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