Jason's family drove 120 miles using 5 gallons of gas. At this rate, how many miles can they drive on 8 gallons of gas?

Answer:

100/500 = 0.2

common ratio is 0.2

Answer:

graph your welcome :)

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

They are equal to each other.

23x-5= 21x +5

2x = 10

x = 5

21(5) +5 = 110°

23(5) -5 = 110°

So it works. Angles are 110°

Answer:

it would be ( 0 , − 10 ) , ( 1 , − 7 ) , (2 , − 4 )

Step-by-step explanation:

Choose three values for  x and substitute in to find the corresponding  y  values.

Answer:

The answer is -7

Step-by-step explanation:

I took the test! Hope this helps <3

Answer:

B. 11 left, 11 up

Answer:

43

Step-by-step explanation:

you plug in the values

3m^2 + 2p^2 - 15

= 3(3)^2+2(10)^2-15

= 3×9+2×100-15

= 27+200-15

= 227-15

= 212

Just subtitute the value of m and p to the equation

Hope it help u :)

Step-by-step explanation:

Puede que si pero espera un poco para que ella se te confiese

Answer:

puede ser que si pero si no pasa nada entre dos meses dile lo que sientes por ella

Step-by-step explanation:

Answer:

275.6

(275 for whole trees)

Step-by-step explanation:

119 + 1 + 3 + 5 =            add that if i am wrong sorry but have  a nice day <3

Step-by-step explanation:

Answer:

10 miles per hour

Step-by-step explanation:

20 divided by 2 = 10

Answer:

y = -15x + 35

Step-by-step explanation:

3x + 1/5y = 7

1/5y = -3x + 7

y = 5( -3x + 7)

y = -15x + 35

Answer:

B= -3/4

Step-by-step explanation:

there are two points given substitute them in the formula of the slope

Answer:

1584 cu in.

Step-by-step explanation:

Since the volume varies jointly with the radius and height we have an equation V = kr^2h where k is the constant of variation

28 = 2^2(7)k = 28k

k = 1

Now V = r^2h

V = (12)^2(11) = 144(11) = 1584 cu in.

Answer:

67

Step-by-step explanation:

i dont know

Answer:

-3y+18

Step-by-step explanation:

-3 x y = -3

-3 x -6 = 18

-3y + 18

Hope that helps!

Answer:

3)      (N)  angle Q = 90 degrees

4)      (E)  angle 1 = 88 degrees

5)      (G)  angle 3 = 110 degrees

Step-by-step explanation:

3) angle Q = 1/2(270-90) = 90

4) central angles equal arc angles

5) angle supplemental to angle 3 is 1/2(140), so angle 3 = 180-70 = 110

[tex] \tt : \implies \dfrac{x+2}{x-2} + \dfrac{x-2}{x+2} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{(x+2)(x+2) + (x-2)(x-2)}{(x-2)(x+2)} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{(x+2)^{2} + (x-2)^{2}}{(x-2)(x+2)} = \dfrac{5}{6}[/tex]

Now, we know that :

[tex] \tt : \implies \dfrac{x^{2}+2^{2}+ 2 \times x \times 2 + x^{2}+2^{2} - 2 \times x \times 2 }{x^{2}-2^{2}} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{x^{2}+ 4 + \cancel{4x} + x^{2}+ 4 - \cancel{4x}}{x^{2}-4} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{x^{2} + x^{2} + 4 + 4}{x^{2}-4} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{2x^{2} + 8}{x^{2}-4} = \dfrac{5}{6}[/tex]

By cross multiply :

[tex] \tt : \implies (2x^{2} + 8)6= 5(x^{2}-4)[/tex]

[tex] \tt : \implies 12x^{2} + 48 = 5x^{2}-20[/tex]

[tex] \tt : \implies 12x^{2} + 48 - 5x^{2} + 20 = 0[/tex]

[tex] \tt : \implies 7x^{2} + 68 = 0[/tex]

[tex] \tt : \implies 7x^{2} + 0x + 68 = 0[/tex]

Now, by comparing with ax² + bx + c = 0, we have :

By using quadratic formula :

[tex] \large \underline{\boxed{\bf{x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}}}}[/tex]

[tex] \tt : \implies x = \dfrac{-(0) \pm \sqrt{(0)^{2} - 4(7)(68)}}{2(7)}[/tex]

[tex] \tt : \implies x = \dfrac{0 \pm \sqrt{0 - 1904}}{14}[/tex]

[tex] \tt : \implies x = \dfrac{\pm \sqrt{- 1904}}{14}[/tex]

[tex] \tt : \implies x = \dfrac{\pm \sqrt{2\times 2\times 2\times 2\times 7\times 17}}{14}[/tex]

[tex] \tt : \implies x = \dfrac{\pm \cancel{2} \times 2\sqrt{7\times 17}}{\cancel{14}}[/tex]

[tex] \tt : \implies x = \dfrac{\pm2\sqrt{119}}{7}[/tex]

[tex] \large \underline{\boxed{\bf{x = \dfrac{\pm 2\sqrt{119}}{7}}}}[/tex]

Hence value of [tex] \bf x =\dfrac{\pm 2\sqrt{119}}{7}[/tex]

Answer:

I think this answer is right if no tell me please :)

Answer:

See explanation below

Step-by-step explanation:

This is actually pretty easy to explain, and we all need to do is work with fractions.

So we have a recipe for chicken and rice, but the person decides to use 2/3 of the recipe. to determine the quantity of each ingredient to be used, we just need to multiply the cups of each ingredient by 2/3, and that's it.

Let's go with each ingredient, one by one:

Chicken broth 2 2/3 cups:

In this case, let's convert the 2 2/3 to a simple fraction. (We just multiply the denominator by the single number and then, sum the numerator)

2 2/3 = (3*2) + 2 / 3 = 8/3 of cups

8/3 * 2/3 = 16/9 cups of chicken.

But to do this better, let's convert this into a mix fraction:

16 : 9 = 1  and the rest is 7 so:

Chicken 1 1/2 cups:

We'll do the same thing as before:

1 1/2 = (2*1) + 1 / 2 = 3/2 of cups

3/2 * 2/3 = 1

3/4 cups or rice:

3/4 * 2/3 = 1/2

Hope this helps

Answer:

B.31

Step-by-step explanation:

That's the answer.

Answer:

x = 31

Step-by-step explanation:

By Linear Pair

3x + 31 + 2x - 6 = 180

5x + 25 = 180

5x = 155

x = 31 Answer

Step-by-step explanation:

9x + 1 = x + 9

9x - x = 9 - 1

8x = 8

x = 1

9514 1404 393

Answer:

Step-by-step explanation:

a) The circumference of the circle is given by ...

  C = πd

  C = (3.14)(5.5 mi) = 17.27 mi

The distance around the lake is about 17.27 miles.

__

b) The area is given by ...

  A = πr^2 . . . . . where r = d/2

  A = (3.14)(2.75^2) ≈ 23.75 . . . . square miles

The surface area of the lake is about 23.75 square miles.

_____

If you use a more exact value of pi (the "pi button" for example), then the hundredths digit increases by 1 in each case: 17.28, 23.76.

Answer:

the triangle consists 180 degree

so , açording to me the must be like this

Step-by-step explanation:

hope it becomes helpful to you ☺️☺️

good luck

Answer:

It goes into 100356 290 times with a remainder of 16

Step-by-step explanation:

100356/346 = 290 R 16

Problem 3

Explanation: The angles opposite the congruent sides, are congruent angles. We consider these the base angles. This triangle is isosceles.

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Problem 4

Explanation:

Refer to the diagram below. Note how I've added in the variable y and marked another angle as 53 degrees which is one of the base angles of the left triangle. The base angles of the triangle on the right are y degrees each. Also, note the vertical angles both are y.

For the left triangle, the three angles add up to 180 which means we can solve for y to go from 53+53+y = 180 to y = 74

Then the interior angles of the triangle on the right has the three angles (y,y,x) add to 180 as well. So we have y+y+x = 180 which turns into 74+74+x = 180. That solves to x = 32

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Problem 5

Explanation:

Refer to the diagram below. I've added another base angle x, and the angle 90-x is complementary to this. This is because the two pieces must add to 90.

For the triangle on the bottom, the two base angles 74 and 74, add to the third angle 90-x and we would get 180. So we solve 74+74+(90-x) = 180 to get x = 58

Answer:

3. x = 47

4. x = 32

5. x = 58

Step-by-step explanation: