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zaharov [31]
2 years ago
5

Expand the expression: 1/3(12d + e)

Mathematics
1 answer:
Westkost [7]2 years ago
7 0

Answer:

4d + e/3

1/3 x 12d + 1/3e

1x12d/3+1/3e

12d/3 + 1/3e

4d + 13e

4d + e/3

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Sam painted 3 pictures.ellie painted twice as many pictures as Sam how many pictures did they paint altogether
zepelin [54]
Sam painted 3
ellie painted 2x3, so she painted 6
6+3=9
together they painted 9 pictures
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1 year ago
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One of the fastest cars in the world was recently measured covering 5726 meters in 50 seconds.
Alex787 [66]

114.52 is the answer

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2 years ago
Tyler poured a total of 15 cups of water into 2 equal-sized bottles and filled each bottle. How much water was in each bottle?
Nitella [24]

Step-by-step explanation:

So 2 bottles and 15 cups

15 ÷ 2 = 7.5

He poured 7.5 cups of water in each bottle

4 0
2 years ago
Aramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
bonufazy [111]

Answer:

The ratio of Tan B is

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

Step-by-step explanation:

In Right Angle Triangle ABC

angle C = 90°

AB = Ramp = 17 feet

BC =Horizontal distance = 15 feet

AC = Height from floor = 8 feet

To Find:

Ratio of Tan B = ?

Solution:

In Right Angle Triangle ABC By Tangent Identity we have

\tan B= \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}

Substituting the given values we get

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

5 0
2 years ago
A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire
anygoal [31]

Answer:

The speed of the tyre of the car is 1002.24 feet per minute .

Step-by-step explanation:

Given as :

The radius of the car wheel = r = 16 inches

Since 12 inches = 1 feet

So,  16 inches = \frac{1}{12}×16 = 1.33 feet

The number of revolution of the wheel = 120 revolution per minute

Let The speed of the wheel = s feet per minute

The circumference of wheel = 2 × \pi × radius

where  \pi  = 3.14

or, circumference =  2 × 3.14 × 1.33

Or, Circumference = 8.352 feet

Now , Speed =  circumference of wheel × number of revolution

or, Speed = 8.352 feet × 120 revolution per minute

∴ Speed = 1002.24 feet per minute

Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer

4 0
2 years ago
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