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3 years ago

I can drive my Vespa 3 1/2 miles on one-fourth of a gallon of gas. How many miles can I drive on 1 gallon of gas?

2 answers:

4 0

14 miles on one gallon of gas

3.5 miles/.25 gallons = x/1 gallon
To get from .25 to 1 you multiply by 4 so if you multiply 3.5 times 4 you get 14 miles/gallon

Ainat [17]3 years ago

3 0

Answer:

23 gallons

Step-by-step explanation:

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What is (2+y)³ written out?

Aleksandr-060686 [28]

${ \left( 2+y \right) }^{ 3 }\\ \\ =\left( 2+y \right) \left( 2+y \right) \left( 2+y \right) \\ \\ =\left( 2+y \right) \left( 4+4y+{ y }^{ 2 } \right)$

$\\ \\ =2\left( 4+4y+{ y }^{ 2 } \right) +y\left( 4+4y+{ y }^{ 2 } \right) \\ \\ =8+8y+2{ y }^{ 2 }+4y+4{ y }^{ 2 }+{ y }^{ 3 }\\ \\ ={ y }^{ 3 }+6{ y }^{ 2 }+12y+8$

5 0

3 years ago

The Total Surface Area for the shape below is _________. (round to nearest tenth.)

gavmur [86]

Answer:

=193.2 cm

Step-by-step explanation:

Figure out the triangles first
Area= Base times Height divided by 2
first figure out one triangle A= (6)(5.2)/2 = 15.6 (brackets means times and the slash means divide
times it by 2 so you get the area of both triangles (15.6)(2)= 31.2
Now figure out the rectangles
Area= Base times Height
A=(6)(9) = 54
Then times it by 3 to get the area of all three triangles
(54)(3)= 162
Now add 162 and 31.2 and you get 193.2 cm

3 0

3 years ago

a box with a square base is taller than it is wide. in order to send the box through the US mail, the height of the box and the

NemiM [27]

The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 $in^{3}$ .

The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:

volume = length x width x height

= area x height

Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.

Then;

4l + h = 108

Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.

So that;

4(20) + 28 = 80 + 28

= 108 inches

Thus;

maximum volume = area of the square base x height

= 400 x 28

maximum volume = 11200 $in^{3}$

The maximum volume for such a box would be 11200 $in^{3}$ .

Visit: brainly.com/question/20463446

5 0

2 years ago

∆LMN ∼ ∆PON. What is the value of x? Select one: a. 28 1/3 b. 36 c. 20 d. 25

yawa3891 [41]

Answer:

Option B. 36

Step-by-step explanation:

From the figure attached,

ΔLMN ~ ΔPON

Therefore, corresponding sides of these similar triangles will be in the same ratio.

$\frac{LM}{OP}=\frac{MN}{ON}=\frac{LN}{PN}$

$\frac{LM}{OP}=\frac{MN}{ON}$

$\frac{42}{14}=\frac{x}{12}$

x = $\frac{42\times 12}{14}$

x = 36

Therefore, measure of side MN = x = 36 units

Option B. will be answer.

3 0

3 years ago

Please help with this question

svetlana [45]

Answer:

Segment JK is a chord in circle H

Line LM is a secant to circle H

Step-by-step explanation:

* Lets revise some definition in the circle

- The radius of the circle is a line segment drawn from the center of

the circle to a point on the circumference of the circle

- The chord of a circle is a line segment whose endpoints lie on the

circumference of the circle

- The secant is a line intersect the circle in two points

- The tangent is a line touch or intersect the circle in one point

* Now lets solve the problem

- In circle H

∵ JK is a segment in circle H

∵ Point J lies on the circumference of circle H

∵ Point K lies on the circumference of circle H

∴ Segment JK is a chord in circle H

∵ LM is a line

∵ LM intersect circle H in two points L and M

∴ Line LM is a secant to circle H

4 0

3 years ago