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2 years ago

13

Mr. Campell is contemplating which chauffeured car service to take to the airport. The first costs $10 up

1 answer:

choli [55]2 years ago

5 0

First car: $10 + 3 every mile

Second car: $20 + 2 per every mile

For the part that says "Write an equation that represents the cost of

each car service and determine when they cost the same.", find the LCM of 13 and 22.

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Todd is 81 years younger than Rosa. 3 years ago, Rosa’s age was 4 times Todd’s age. How old is Todd now?

Delvig [45]

Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
.. t = (81 +9)/3 = 30

Todd is 30 now.

_____
You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.

8 0

3 years ago

I need help with three and four

mart [117]

Answer:

3: $a^{2}+2ab+b^{2}$

4: $8x^{3} -12x^{2}+6x-1$

Step-by-step explanation:

Question 3 can be re-written as:

$(a+b)(a+b)$

which equals:

$a^{2}+2ab+b^{2}$

Question 4 can be re-written as:

$(2x-1)(2x-1)(2x-1)$

Doing the first 2 brackets gives us:

$(4x^{2} -4x+1)(2x-1)$

Expanding these two:

$8x^{3} -4x^{2} -8x^{2} +4x+2x-1$

Simplifying it:

$8x^{3} -12x^{2}+6x-1$

4 0

2 years ago

Read 2 more answers

What is the volume of a 14 in diameter pipe that’s 2156 long?

storchak [24]

Answer:

Step-by-step explanation:

given that diameter of the pipe = 14 inches

radius = 7 inches

Length =2156 inches

Pipe is in the form of a cylinder

Volume of cylinder = pi r^2 h

where r = radius and h = l = 2156

We have to substitute the values of r and h.

Let us take pi as 22/7

= 22/7 (7)(7)(2156)

Cancel out 7 and multiply the remaining 22 ,7 and 2156

=332024 cubic inches

4 0

3 years ago

What is the sum of a seven-term geometric series if the first term is -2, the last term is

ExtremeBDS [4]

Answer:

-26042

Step-by-step explanation:

sum of a finite geometric series =

$\frac{a_1(1-r^n)}{1-r}$

here, a1 is the first term, r is the common ratio, and n is the number of terms

a1 = -2

r = -5

n = 7

$\frac{a_1(1-r^n)}{1-r} = \frac{-2(1-(-5)^7)}{1-(-5)} = -26042$

8 0

1 year ago

What is the factored form of the binomial expansion 125x^3 + 525x^2 + 735x + 343?

yarga [219]

Answer:

Step-by-step explanation:

1. regroup terms

$125x^3+343+525x^2+735x$

2. Rewrite $125x^3$ as $(5x)^3$ and 343 as $7^3$

$(5x)^3+7^3+525x^2+735x$

3. Since both terms are perfect cubes, factor using the sum of cubes formula, $a^3+b^3 = (a+b)(a^2-ab+b^2)$ , where $a=5x$ and $b=7$

$(5x+7)((5x)^2-(7)(5x)+(7)^2)+525x^2+735x$

$(5x+7)(25x^2-35x+49)+525x^2+735x$

4. Factor $105x$ out of $525x^2+735x$

$(5x+7)(25x^2-35x+49)+105x(5x+7)$

5. Regroup

$(5x+7)(25x^2-35x+49+105x)$

$(5x+7)(25x^2+70x+49)$

6. Factor again

$(5x+7)(5x+7)^2$

$(5x+7)^3$

4 0

2 years ago

Read 2 more answers