Gerald drove his car 360 miles on a trip. He used 20 gallons of gasoline. Which of the following is a unit rate that describes the distance Gerald drove per gallon of gasoline used?

A
18 miles per gallon

B
18 gallons per mile

C
340 miles per gallon

D
340 gallons per mile

Answer:

a

Step-by-step explanation:

Answer:

4.1 sec

Step-by-step explanation:

-9.8t^2 +38.2t + 6.5 = 0

t = [tex]\frac{-38.2 +-\sqrt{38.2^2{ - 4(-9.8)(6.5)} } }{2(9.8}[/tex]

 =  [tex]\frac{-38.2 +- \sqrt{1459.24 + 254.8} }{-19.6}[/tex]

 = [tex]\frac{-38.2 +- \sqrt{1714.04} }{-19.6}[/tex]

 = [tex]\frac{-38.2 +- 41.4}{-19.6}[/tex]

 = [tex]\frac{-79.6}{-19.6}[/tex]

 = 4.1

The rocket will hit the ground at 0.2 seconds

The function is given as:

[tex]h=-9.8t^2+38.2t+6.5[/tex]

When the missile hits the ground, the value of height is 0

This means that:

[tex]h = 0[/tex]

So, we have:

[tex]-9.8t^2+38.2t+6.5 = 0[/tex]

Next, we plot the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]

See attachment for the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]

From the attached graph, we have:

[tex]t = (0.163, -4.061)[/tex]

Approximate

[tex]t = (0.2, -4.1)[/tex]

Time cannot be negative.

So, we have:

[tex]t = 0.2[/tex]

Hence, the rocket will hit the ground at 0.2 seconds

Read more about height functions at:

https://brainly.com/question/10837575

Answer:

About 6 pencils

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

in order to solve this, you need to multiply 3/5 and 10:  [tex]\frac{3}{5}[/tex] × 10

to do this, first multiply 3 and 10: 3 x 10 = 30

now divide 30 by 5: 30 ÷ 5 = 6

Not sure if I'm right but I think it's 3(x - 6) (x^2 + 5x)

Step-by-step explanation:

3x^3 - 3x^2 - 90x

Apply GCF: 3 (x^3 - x^2 - 30)

Split 30 into -6 and 5

(x^3 - 6x^2) (5x^2 - 30x)

GCF of both: x^2 (x - 6) and 5x (x - 6)

DON'T FORGET TO CARRY THE 3

And your answer is 3 (x - 6) (x^2 + 5x)

Answer:

yes

the sides bear a similar proportion to each other

CE = 1.67BC

CD = 1.67AC

Step-by-step explanation:

Two triangles are similar if the corresponding angels are congruent to each other and if the sides of the triangle are in proportion to each other

to determine if the triangles are similar, determine if the sides are in proportion to each other

CE = 10

BC = 6

10 / 6 = 1.67

DC = 15

AC = 9

15/9 = 1.67

The sides of the triangle are in proportion to each other, thus they are similar

Answer:

(-2.5, 1) and (0.5, 5)

Step-by-step explanation:

The main idea is to divide the line into four segments.

so you find the midpoint between (-4, -1) and (2, 7), which is (-1, 3).

then you find the midpoint again between (-4, -1)  (-1, 3) and (2, 7) (-1, 3), which is (-2.5, 1) and (0.5, 5).

Answer: Measure of what?

Answer:

measurement of what-?

Answer:

x = 116°

Step-by-step explanation:

number of degrees in a pentagon is (5-2)180° = 540°

x + 121 + 90 + 115 + 98 = 540

x + 424 = 540

x = 116°

Answer:

D) 2x + y = 4

Step-by-step explanation:

2x + y = -6 and 2x + y = 4 will not have any solution because -6 ≠4

Answer:

50/277 is also the same as 50 ÷ 277, so just divide those two numbers.

50 ÷ 277 = 0.181

Now we find out 0.181 to the nearest hundredth

To the nearest hundredth when rounding the answer will be 0.18

So your answer is 0.18

Hope I helped! :)

Answer:

11.5 I think??

Step-by-step explanation:

11.475 rounded to the nearest percent would be 11. Rounded to the nearest tenth would be 11.5

Answer:

−

4

−

5

1

√

5

x=\frac{-4-\sqrt{51}}{5}

x=5−4−51

=

−

4

+

5

1

Answer:

C. no solutions

Answer:

y = 1/2x + 2

Step-by-step explanation:

for x=10, y=7

for x=20, y=12

for x=30, y=17

y = 1/2x + 2

Answer:

it's going to be c

Step-by-step explanation:

set a is an exponential function and the values increase at a faster rate than set B

Answer:

The time Lamar will catch up to Fran is 50.26 mins and they would have walked 2.5 km each.

Step-by-step explanation:

Given;

total distance walked by both Fran and Lamar, d = 5 km = 5,000 m

speed of Fran, = 45 m/min

speed of Lamar, = 50 m/min

Let the time Lamar catch up to Fran = t (mins)

At the time "t" Lamar would have walked a distance of 50(t),

At the time "t" Fran would have walked a distance of 45(t + 5)

The total distance they walked; d = 50t  +  45(t + 5)

5000 = 50t  +  45(t + 5)

5000 = 50t  + 45t + 225

5000 - 225 = 95t

4775 = 95t

t = 4775/95

t = 50.26 mins

The distance walked by Frans: = 45 (50.26 + 5)

                                                    = 2487 m

The distance walked by Lamar: = 50 (50.26)

                                                    = 2513 m

Answer:

No

Step-by-step explanation:

Dude, I'm not joking.

I started writing stuff as a joke, than developed it, and I think I'll write a book. You just gave me an incredible idea (not about fat people, about society itself and our future).

Thank you very much.

If you see any book written by a Racciatti in 10 years, contact me.

Hope this works, holy man so much ideas in my head. Thank you again.

Answer:

Y=5(x) Yes it is porportional.

Step-by-step explanation:

So lets look at the graph.

We first have 1x = 5y

Well, that makes it seem like for each x there are 5 y.

Lets see the other values:

2x = 10y

Divide both sides by 2 tog et x alone:

1x=5y

Again, for each x, there are 5y.

This is true for each one:

3x=15y

=

1x=5y

4x=20y

=

1x=5y

5x=25y

=

1x=5y

and finally:

6x=30y

=

1x=5y.

So yes, this is poroportional.

It can be shown as x=5y, since for a single x, there are 5 y's.

Hope this helps!

Answer:

144m2

Step-by-step explanation:

I think very carefully on my brain is it cirrect?

Answer:

The distance from point A to B that Haley needs for the pole to be perpendicular is:

Step-by-step explanation:

To solve this exercise, imagine that it is a triangle, where the height is the pole, which is 10 feet, and the base of the triangle is the distance between the base of the pole and the point located by Jalen and called C, which it would have a measurement of 6 feet, finally, the measurement between A (the point located six feet) and B (the highest part of the pole) would correspond to the hypotenuse of a triangle,

Therefore, having these two measures, you could use the Pythagorean theorem to find the hypotenuse of a triangle with those measures and solve it, remember that the Pythagorean theorem is:

We replace the values given in the exercise:

In this form, Jalen can be sure the pole is perpendicular to the ground when the distance from point A to B is 11.66 ft approximately.

Answer:

I think C

Step-by-step explanation:

Answer:

Sponges

Step-by-step explanation:

sponges are permanantly attached to an area in the water, making them sessile

Answer:

a = 6

Step-by-step explanation:

7a-17 = 4a +1 ; Subtract 4a from both sides

3a - 17 = 1 ; Add 17 to both sides

3a = 18 ; Divide both sides by 3

a = 6

7a-17=4a+1

7a-4a=1+17

3a=18

a=6

Answer:

[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]

Step-by-step explanation:

we are given a ball

remember that,a ball is a Sphere

thus,

[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]

given that, redious is 17 cm

substitute:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]

simplify square:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]

substitute the approximate value of π:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]

simplify multiplication:

[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]

hence, the surface area of the sphere is 3629.84 cm²

Answer: [tex]10.2"[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular box is [tex]2"\times 6"\times8"[/tex]

If the Straw  fits exactly into the box diagonally

So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.

[tex]\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"[/tex]

Answer:

I believe the answer is C