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3 years ago

13

The Rodriquez family drove 115 miles on 5 gallons of gasoline. Which equation can be used to find how far they can travel on a f

ull 18 gallon tank of gasoline?

2 answers:

Afina-wow [57]3 years ago

6 0

115/5=x/18, divide 115 by 5 equals x divided by 18

densk [106]3 years ago

4 0

<span>5/115 = 18/x I Believe.</span>

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Three-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club.

alekssr [168]

Answer:

50

Step-by-step explanation:

4 0

2 years ago

Evaluate |-3| - |5|. - 8 - 2 2 8

Sedaia [141]

Is it subtract 228? if so then 3-5 equals -2. -2-8 equals -10. -10-228 equals -238

6 0

3 years ago

find the volume of the solid formed by revolving the region bounded by the graphs of y = 4x - x^2 and f(x) = x^2 from [0,2] abou

Neko [114]

Answer:

$v = \frac{32\pi}{3}$

or

$v=33.52$

Step-by-step explanation:

Given

$f(x) = 4x - x^2$

$g(x) = x^2$

$[a,b] = [0,2]$

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

$\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx$

Integrate

$v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx$

$v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx$

Substitute values for a, b, f(x) and g(x)

$v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx$

Evaluate the exponents

$v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx$

Simplify like terms

$v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx$

Factor out 8

$v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx$

Integrate

$v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0$

$v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0$

Substitute 2 and 0 for x, respectively

$v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])$

$v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])$

$v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ]$

$v = 8\pi [ \frac{16}{3} - \frac{16}{4} ]$

Take LCM

$v = 8\pi [ \frac{16*4- 16 * 3}{12}]$

$v = 8\pi [ \frac{64- 48}{12}]$

$v = 8\pi * \frac{16}{12}$

Simplify

$v = 8\pi * \frac{4}{3}$

$v = \frac{32\pi}{3}$

or

$v=\frac{32}{3} * \frac{22}{7}$

$v=\frac{32*22}{3*7}$

$v=\frac{704}{21}$

$v=33.52$

8 0

2 years ago

solve the problems below step by step I'll give 30 points please explain find the area and the perimeter for the problems below

guajiro [1.7K]

Answer:

Step-by-step explanation:

14. You would add 41 + 41 + 61 + 61 because you just need to add together all the sides.

15. you need to measure the all the sides for 15 and do the same thing that you did on 14

3 0

2 years ago

Read 2 more answers

Solve the following equation for x.

Vaselesa [24]

Solve for x (isolate/get x by itself)

$\frac{1}{4}x-7=\frac{3}{8}x-5$ Add 5 on both sides

$\frac{1}{4}x-7+5=\frac{3}{8}x-5+5$

$\frac{1}{4}x-2=\frac{3}{8}x$ Subtract 1/4x on both sides

$\frac{1}{4}x-\frac{1}{4}x-2=\frac{3}{8}x-\frac{1}{4}x$

$-2=\frac{3}{8}x-\frac{1}{4}x$ Make the denominators the same of the fractions in order to combine them. Multiply 2 to the top and bottom of 1/4x

$-2=\frac{3}{8}x-\frac{2}{8}x$

$-2=\frac{1}{8}x$ Multiply 8 on both sides

$-2(8)=(8)\frac{1}{8}x$

-16 = x

7 0

3 years ago