Which expression is the LCD of these fractions1/p^3/4/7

A p^3+7
B p+7
C 7p^3
D 7p

Answers

Answer 1

Answer: 1/p³ ÷ 4/7

The least common denominator of both fraction is 7p³.

Rules in dividing fractions:
1) Get the reciprocal of the 2nd fraction
1st fraction = 1/p³
2nd fraction = 4/7
reciprocal of the 2nd fraction = 7/4

2) multiply the 1st fraction with the reciprocal of the 2nd fraction

1/p³ * 4/7 = 4/7p³

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Solve and graph the inequality. What is the solution of the equation? 3.4 = 2pA. 1/2 B. 3.4 C. 1.7 D. 0.3

Write an equation in standard form for the line.
Slope is 3, and (1, 6) is on the line.

Answers

Answer:

Step-by-step explanation:

m = 3

(1 , 6)

y - y1 = m(x -x1)

y - 6 = 3(x - 1)

y - 6 = 3x - 3

y = 3x - 3 + 6

y = 3x +3

Standard form:

-3x + y - 3 = 0

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair on the graph of the line relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?

Answers

If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).

Answer: The required coordinate pair is given by

$(x,y)=(3.2,12)$

Step-by-step explanation:

Since we have given that

Total cost of the gas put in his car = $12

Cost of gas per gallon = $3.75

Let the total cost of the gas be 'y'.

Let the number of gallons of gas be 'x'.

According to question, number of gallons of gas is given by

$\frac{\text{Total cost}}{\text{Cost of gas per gallon}}\n\n=(12)/(3.75)\n\n=3.2$

So, the number of gallons is 3.2 approximately.

Hence, the required coordinate pair is given by

$(x,y)=(3.2,12)$

A restaurant sells tea for $1.50 plus 0.50 per refill. The restaurant brews enough tea for 4 refills per customer . The linear function that represents the total cost of rtea refills is C(r) = 0.5r + 1.5 . Describe an appropriate domain of this function . Make sure to identify the set of numbers appropriate to the domain

Answers

4.50Answer:

Step-by-step explanation:

Donna has 8 CDs that she is going to give away. She lets her best friend choose 2 of the 8 CDs. How many different groups of 2 CDs are possible?

Answers

There are 4 different possible group of 2

Answer:

It's 28.

Step-by-step explanation:

Just got this wrong so it showed me the answer.

Find the exact value of tan 30 degrees w/o calculator

Answers

Here is a mantra that I learned in Geometry class in high school. We were
all very excited, as angles had been invented only a few years earlier:

In a 30-60 right triangle ...
the side opposite the 30 is half the hypotenuse
the side opposite the 60 is half the hypotenuse times the square root of three.

So the tangent of the 30 would be (opposite) / (adjacent) = (1/2h) / (1/2h√3) .

That's (1)/(√3) or (√3)/(3) .

$Look\ at\ the\ picture.\n\ntan30^o=((a)/(2))/((a\sqrt3)/(2))=(a)/(2):(a\sqrt3)/(2)=(a)/(2)\cdot(2)/(a\sqrt3)=(1)/(\sqrt3)\cdot(\sqrt3)/(\sqrt3)=(\sqrt3)/(3)$

The function below shows the number of car owners f(t), in thousands, in a city in different years t:f(t) = 0.25t2 − 0.5t + 3.5

The average rate of change of f(t) from t = 2 to t = 6 is ______ thousand owners per year

Answers

f(2) = 0.25*(2^2) - 0.5*(2) +3.5 = 3.5
f(6) = 0.25*(6^2) -.5*(6) +3.5 = 9-3+3.5 = 9.5
average rate of change = [f(6) - f(2)]/ (6-2)
= (9.5-3.5)/4 = 6/4 = 1.5

Answer:

it would be 1.5

Step-by-step explanation:

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