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3 years ago

A Hummer gets 300 miles on 20 gallons of gas, how many miles can it be driven on 50 gallons of gas?

Mathematics

1 answer:

vodomira [7]3 years ago

7 0

Answer:

750 miles

Step-by-step explanation:

Step one:

Given data

we are told that the hummer gets to 300miles on 20 gallons of gas

Required

The distance that the Hummer can go on 50 gallons of gas

Step two:

if 20 gallons gets to 300miles

the 50 gallons will get to x miles

cross multiply we have

$x= 50*300/20\\\\x=15000/20\\\\x=750 miles$

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Geometry, plz help!

astra-53 [7]

Answer:

17. surface area ≈ 441.84

04π m² or 1387.38 m²

18. Ratio of volumes = 8/27

19. volume of the smaller solid = 339 yards³

Step-by-step explanation:

17 .

To find the surface area of the sphere we have to find the radius of the sphere first.

volume of a sphere = 4/3πr³

volume = 1548π m³

r = ?

volume of a sphere = 4/3πr³

1548π = 4/3 × π × r³

multiply both sides by 3/4

1548π × 3/4 = πr³

4644π/4 = πr³

1161π = πr³

divide both sides by π

r³ = 1161

cube root both sides

r = ∛1161

r = 10.5101942

r ≈ 10. 51

surface area of a sphere = 4πr²

surface area = 4 × π × 10.51²

surface area = 4 × 110.4601 × π

surface area = 441.8404π m²

surface area = 441.8404 × 3.14 = 1387.378856 m² ≈ 1387.38 m²

If two figure or solid are similar with scale factor or ratio of x/y then the ratio of their volume is (x/y)³. If the ratio of of two similar prism is 2 : 3 the volume will be (2/3)³ = 8/27 .

If two solids are similar then the ratio of their surface area is the squared of the scale factor.

121/361 = (x/y)²

square root both sides

x/y = 11/19

If two solids are similar then the ratio of their volume is the cube of the scale factor.

(11/19)³ = a/1747

1331/6859 = a/1747

cross multiply

6859a = 2325257

divide both sides by 6859

a = 2325257/6859

a = 339.008164455

a ≈ 339 yards³

volume of the smaller solid ≈ 339 yards³

4 0

3 years ago

-2 3/7 - 1 2/3 show ur work!please

nataly862011 [7]

Answer:

-4 2/21

Step-by-step explanation:

-2 3/7 - 1 2/3

Change to improper fraction

-2 3/7 = -17/7

- 1 2/3 =-5/3

-17/7-5/3

L.C.M=21

-51-35/21

= -86/21

= -4 2/21

Hope it helps..

Please mark brainliest

7 0

1 year ago

A line passes through point A(10,15). A second point on the line has an x-value that is 125% of the x-value of point A and a y-v

melisa1 [442]

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Step-by-step explanation:

The point-slope form of a linear equation is $y-y_{1}=m(x-x_{1})$ , where

m is the slope of the line, where $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line
$(x_{1},y_{1})$ is a point on the line

∵ Point A = (10 , 15)

∵ The x-coordinate of the second point is 125% of x-coordinate

of point A

∴ x-coordinate of second point = $\frac{125}{100}$ × 10

∴ x-coordinate of second point = 12.5

∵ The y-coordinate of the second point is 75% of y-coordinate

of point A

∴ y-coordinate of second point = $\frac{75}{100}$ × 15

∴ y-coordinate of second point = 11.25

∴ The coordinates of the second point are (12.5 , 11.25)

Let us find the slope of the line by using the rule of it above

∵ $(x_{1},y_{1})$ = (10 , 15)

∵ $(x_{2},y_{2})$ = (12.5 , 11.25)

∴ $m=\frac{11.25-15}{12.5-10}=\frac{-3.75}{2.5}=-\frac{3}{2}$

Now we can write the equation

∵ The point-slope form is $y-y_{1}=m(x-x_{1})$

∵ $m=-\frac{3}{2}$

∵ $(x_{1},y_{1})$ = (10 , 15)

- Substitute these values in the form of the equation

∴ y - 15 = $-\frac{3}{2}$ (x - 10)

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Learn more:

You can learn more about the linear equation in brainly.com/question/4152194

#LearnwithBrainly

5 0

3 years ago

I'm stuck and really need help. I can't figure out the rest.

Ad libitum [116K]

Answer:

The next statements are are;

Statement ${}$ Reason

Segment $\overline {DC}$ ≅ Segment $\overline {AB}$ ${}$ CPCTC

$\overline {AD}$ ≅ $\overline {BC}$ and $\overline {DC}$ ≅ $\overline {AB}$ , therefore;

ABCD is a parallelogram ${}$ Parallelogram side theorem

Step-by-step explanation:

Statement ${}$ Reason

Segment $\overline {DC}$ ≅ Segment $\overline {AB}$ by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

Given that $\overline {AD}$ ≅ $\overline {BC}$ and we have that $\overline {DC}$ ≅ $\overline {AB}$ , we get;

ABCD is a parallelogram ${}$ Parallelogram side theorem

The parallelogram side theorem states that a quadrilateral is a parallelogram if it has two pairs or sets of congruent opposite sides.

4 0

3 years ago

The following is the converse of a conditional statement. If it is not April 17th, then it is not Matt's birthday. What is the i

user100 [1]

<span>The original statement would remove the two "not" values from the converse, giving "If it is April 17th, then it is Matt's birthday." Similarly, to find the inverse of the original conditional, simply flip the two statements. As such, the inverse would read "If it is Matt's birthday, then it is April 17th."</span>

5 0

3 years ago