WILL MARK BRAINIEST AND GOOD REVIEW

Drag the tiles to the correct boxes to complete the pairs.

sineoko [7]

Answer:

The percentage of hatchbacks that run on gasoline: 78%

The percentage of diesel vehicles that are hatchbacks: 21 %

Step-by-step explanation:

The given table represents the following:

Hatchbacks that run on Gasoline = 18

Hatchbacks that run on Diesel = 5

Total number of hatchbacks = 23

Sedan that run on Gasoline = 15

Sedans that run on Diesel = 12

Total number of sedans = 27

SUVs that run on Gasoline = 3

SUVs that run on Diesel = 7

Total number of SUVs = 23

Total number of gasoline vehicles = 36

Total number of Diesel vehicles = 24

To find:

the percentage of hatchbacks that run on gasoline

the percentage of diesel vehicles that are hatchbacks

Solution:

$\text{Percentage of hatchbacks that run on gasoline = } \dfrac{\text{Number of hatchbacks on gasoline}}{\text{Total number of hatchbacks}}\times 100\\\Rightarrow \text{Percentage of hatchbacks that run on gasoline = } \dfrac{18}{23}\times 100 \approx 78\%$

$\text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{\text{Number of hatchbacks that run on diesel}}{\text{Total number of diesel vehicles}}\times 100\\\Rightarrow \text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{5}{24}\times 100 \approx 21\%$

So, the answer is:

The percentage of hatchbacks that run on gasoline: 78%

The percentage of diesel vehicles that are hatchbacks: 21%

3 0

4 years ago

One log is 28 feet 7 inches long, and another is 39 feet 8 inches long. what is the sum of their length

frez [133]

1 foot is 12 inches

Convert everything to inches:
28 x 12 = 336 in.
39 x 12 = 468 in.

Add all the inches together:
336 + 468 + 7 + 8 = 819 in.

The answer is 819 inches.

3 0

3 years ago

When harry recipe on a 3” x 5” index card that he wants to enlarge to 15 inches long how wide will the enlargement be ??

Alexeev081 [22]

Hi there.

3x = 15 (length)

x = 5

Since we're multiplying the length by 5, we also multiply the width by 5.

5 • 5 = 25

The length of the enlargement will be 5".

4 0

3 years ago

A student said that the surface area of the figure below was 57.4 square centimeters. Is the student correct? Explain.

FrozenT [24]

Answer:

no

Step-by-step explanation:

The surface area is the sum of the areas of the faces.

There are 4 faces that are 5 cm wide. Their respective heights (from front, over the top) are ...

1 cm, 2.5 cm, 2 cm, 2.3 cm

for a total height of 7.8 cm. Thus, those 4 faces have a total area of ...

(5 cm)(7.8 cm) = 39.0 cm^2

__

The two trapezoidal faces each have bases of length 1 and 2 cm, and a "height" of 2.3 cm. Together, their areas are ...

A = 2×(1/2)(b1 +b2)h = (b1 +b2)h

A = (1 cm +2 cm)(2.3 cm) = 6.9 cm^2

__

The surface area of the entire trapezoidal prism is then ...

total area = base area + lateral area = 6.9 cm^2 +39 cm^2

total area = 45.9 cm^2

The student's answer of 57.4 cm^2 is not correct. (We don't know where that calculation came from.)

3 0

4 years ago

Show that 5(3y-2)=15y-10 for at least 5 values of y

Vsevolod [243]

Solving the equation for Y = 1. 5 * (3 * 1 - 2) = 15 * 1 - 10 5 * (3 - 2) = 15 -10 5 * 1 = 5 5 = 5 Solving the equation for Y = 2. 5 * (3 * 2 - 2) = 15 * 2 - 10 5 * (6 - 2) = 30 -10 5 * 4 = 20 20 = 20 Solving the equation for Y = 4. 5 * (3 * 4 - 2) = 15 * 4 - 10 5 * (12 - 2) = 60 -10 5 * 10 = 50 50 = 50 Solving the equation for Y = 8. 5 * (3 * 8 - 2) = 15 * 8 - 10 5 * (24 - 2) = 120 -10 5 * 22 = 110 110 = 110 Solving the equation for Y = 9. 5 * (3 * 9 - 2) = 15 * 9 - 10 5 * (27 - 2) = 135 -10 5 * 25 = 125 125 = 125 This proves that the equation holds good for at least 5 values of 'y', which are 1, 2, 4, 8 and 9. However, it can be proved that the equation holds good for any value of y. Expression 5(3y-2) can be simplified to 15y -10 which is the same expression on the right had side of the equation provided. So, equation 5(3y-2)=15y-10 is actually 15y-10=15y-10 and since this is true for all values of y, it has been proved that it is true for at least 5 values of y.

7 0

3 years ago