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2 years ago

Jose's gas tank is 1/5 full. After he buys 9 gallons of gas, it is 7/10 full. How many gallons can Jose's tank hold?

Mathematics

1 answer:

Anika [276]2 years ago

5 0

Answer:

18 gallons

Step-by-step explanation:

Let the capacity of tank is x

1/5x + 9 = 7/10x
2/10x + 9 = 7/10x
5/10x = 9
1/2x = 9
x = 18 gallons

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madreJ [45]

Help with what? Have a question or a picture to show?

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2 years ago

The cost of renting a car is $42 a day plus 25 cents per mile. How far can Alex drive in one day if he only has $162

earnstyle [38]

Answer:

Alex can drive 480miles in one day period.

Step-by-step explanation:

$162- $42 =$120

$120/0.25¢=480

480miles

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2 years ago

HELP IM DOIN A MATH TEST AND IM STUCK!!!!! Tim knows the volume In bass area of a wooden chest that is in the shape of a rectang

ki77a [65]

Answer:

Height is 1 1/24 unit.

Step-by-step explanation:

Given:

volume = 5/24 unit³

base area = 1/5 unit²

Rectangular prism:

volume = length * width * height

base area = length * width

Volume = base area * height

height = volume / base area

h = 5/24 ÷ 1/5

h = 5/24 * 5/1 = 5*5 /24*1 = 25/24 = 1 1/24 unit

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7 0

2 years ago

Which equation represents the circle described? (in picture)

Sedaia [141]

You are right. In circle equation we have =r² so the correct answer will be C od D. But we have to calculate the center of a circle.

$x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24$

Complete the square:

$x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2$

And we have:

$(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}$

So the answer is C (the same left side of equation).

6 0

3 years ago

Which is bigger, a) 70% of 300 b) ¼ of 600? ∞Δ∞

Artist 52 [7]

Since 300 is 100%, you treat it as such.

300/(100/70) = 210 (rounded)

You do a similar thing for 600

1/4 of 100 is 25
100/25 = 4
600 / 4 = 150

70% of 300 is more.

4 0

2 years ago