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3 years ago

Which expression correctly represents "eight times the difference of four and a number"?

Mathematics

1 answer:

il63 [147K]3 years ago

7 0

Answer:

8(4-x)

Step-by-step explanation:

You're multiplying the difference of four and a number (4-x) by eight (8). So writing as an expression would look like 8(4-x).

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While sitting on a rooftop 95 feet off the ground Mary flicks a twig up and off of the ledge with the initial vertical velocity

cestrela7 [59]

Answer:

The maximum height of the twig is 96.6 feet off the ground

Step-by-step explanation:

To determine the maximum height of the twig,

First, we will determine the height distance covered by the twig after Mary flicks the twig up.

From the question,

Mary flicks a twig up and off of the ledge with the initial vertical velocity of 10 feet per second, that is

the initial velocity of the twig is 10 feet/second

At maximum height, the final velocity is 0

From on the equations of motions for bodies moving upwards,

v² = u² - 2gh

Where v is the final velocity

u is the initial velocity

g is the acceleration due to gravity (Take g = 9.8m/s² = 32.17 ft/s²)

and h is the height

From the question

u = 10 feet/second

and v = 0 feet/second

Putting the values into the equation

v² = u² - 2gh

0² = 10² - 2(32.17)h

0 = 100 - 64.34h

64.34h = 100

h = 100/64.34

h = 1.6 feet

This is the height distance covered by the twig after Mary flicks it up.

Now, the maximum height of the twig will be the sum of the height of the rooftop from the ground and the height distance covered by the twig.

That is,

Maximum height = 95 feet + 1.6 feet

Maximum height = 96.6 feet

Hence, the maximum height of the twig is 96.6 feet off the ground.

7 0

3 years ago

Gareth 30 students in a class and the ratio of boys to girls in the class is 2:3 calculate the number of goals

pishuonlain [190]

Answer:

There are 12 boys and 18 girls

Step-by-step explanation:

Equations

There are 30 students in a class. Let's call:

x = number of boys

Since the sum of boys and girls is 30:

30 - x = number of girls

The ratio of boys to girls is 2:3, thus:

$\displaystyle \frac{x}{30-x}=\frac{2}{3}$

Crossing denominators:

3x = 2(30 - x)

Operating the parentheses:

3x = 60 - 2x

Adding 2x:

5x = 60

Dividing by 5:

x = 60/5 = 12

x = 12

There are 12 boys and 30-12=18 girls

8 0

3 years ago

A cylinder has a surface area of 502.4 square inches and a height of 11 inches. What is the volume? PLEASE HELP!!

I am Lyosha [343]

Answer:

V≈ 863.27 in³

Step-by-step explanation:

6 0

2 years ago

Which expression is equivalent to -1.3 - (-1.9)−1.3−(−1.9)minus, 1, point, 3, minus, left parenthesis, minus, 1, point, 9, right

RideAnS [48]

Answer:

Choise B: $-1.3+1.9$

Step-by-step explanation:

For this exercise you must remember the multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

By definition, equivalent expression have the same value.

Then, you can find an equivalent expression to the expression provided in the exercise by simplifying it.

So, given:

$-1.3 - (-1.9)$

To simplify it, you can distribute the negative that is located outside of the parentheses (in order to eliminate the parentheses).

Applying this procedure, you get the following equivalent expression:

$-1.3 - (-1.9)=-1.3+1.9$

Therefore, as you can notice, the expression obtained matches with the one shown in Choice B.

8 0

2 years ago

As an estimation we are told 5 miles is 8 km. Convert 34.5 km to miles.

rjkz [21]

Answer:

The answer is 21.5625

Step-by-step explanation:

The reason is because it first says 5 miles=8 km so that helps us right there.We divide 34.5 by 8 which will give us 4.3125.Then you have to multiply that by 5 which will give us 21.5625.

8 0

3 years ago