A student pushes a box across the floor using 8w of power in 7 seconds how much work does the student do

Step-by-step explanation:

We need to simply like terms. Let's break this out into four different problems that are easy to solve, then we can put it all back together for the final answer.

There are four like terms in both the numerator (top) and denominator (bottom) of the fraction. Numbers, m, p, and v. We will look at each of these seperately.

What is [tex]45/15[/tex]? Easy right, just 3.

Let's move on to the harder parts.

[tex]\frac{m^{-6}}{m^{-2}}[/tex]

Remember that negavite exponents mean to divide.

For example, [tex]2^{-2} = \frac{1}{2^2} = 1/4[/tex]

So we just need to apply this rule to both of these exponents to get,

[tex]\frac{m^2}{m^6}[/tex]

Now remember that when dividing by exponents, the exponents subtract from each other[tex]\frac{x^y}{x^z} = x^{y-z}[/tex]

So we get, [tex]m^{2-6} = m^{-4} = \frac{1}{m^4}[/tex]

So far we have

[tex]\frac{3}{m^4}[/tex]

Keep applying the same rules for the other two terms. Reply back if you need more help and I can keep working through with you.

Answer:

1 : 5

Step-by-step explanation:

The ratio of PQ ; XY = 5 : 25 = 1 : 5 ← in simplest form

Answer:

Step-by-step explanation:

Number of people using more than one sport facility:

Since 16 is counted for all three, total number of those using more than one facility is therefore:

Number of people using exactly one facility is:

Probability of the person using exactly one facility is:

Given:

The triangle ABC and A'B'C' on a coordinate plane.

To find:

The algebraic rule that describes the dilation of ABC to A'B'C.

Solution:

From the given figure it is clear that

AB = 2 units

A'B' = 6 units

The scale factor is

[tex]k=\dfrac{A'B'}{AB}[/tex]

[tex]k=\dfrac{6}{2}[/tex]

[tex]k=3[/tex]

So, the scale factor is 3.

If a figure is dilated about the origin with scale factor k, then  the rule of dilation is

[tex](x,y)\to (kx,ky)[/tex]

For the given problem the scale factor is 3. So, putting k=3, we get

[tex](x,y)\to (3x,3y)[/tex]

Therefore, the correct option is A.

Answer:

x = 5,24

Step-by-step explanation:

ydxyfhcfhffutchfhchhffhffhfhfhf

Answer:

Del paid £40 for the goods.

Step-by-step explanation:

It is given that:

Selling price of goods = £38

Loss = 5%

It means that,

Selling price = (100-5)% = 95%

Let,

x be the buying price.

95% of x = 38

[tex]\frac{95}{100}x=38\\\\0.95x=38[/tex]

Dividing both sides by 0.95x

[tex]\frac{0.95x}{0.95}=\frac{38}{0.95}\\x=40[/tex]

Therefore,

Del paid £40 for the goods.

Answer:

option (b)...........

Answer:

D

Step-by-step explanation:

cuz 2.5% students voted for the hippo and not 25%

can I get brainliest if I got it right?

Answer:

C, 5.02%

Step-by-step explanation:

The actual area of court is 94*50= 4700

Ryan calculated an estimation of 93*48= 4464

The percent error is [tex]|\frac{Actual- estimate}{actual} | = \frac{4700-4464}{4700} = \frac{236}{4700} = approx . 5.02 %, or C[/tex]%

I hope this helped! :)

Answer: 48

Step-by-step explanation:

Here's the complete question:

The mean number of people per household in eight households is six people. what is the total number of people in the eight households?

First and foremost,we should note that mean means the average of a given set of numbers.

Since the mean number of people per household in eight households is six people, the total number of people in the eight households would be calculated by multiplying 6 by 8. This would be:

= 6 × 8

= 48 people

Answer:

20

Step-by-step explanation:

1/(12*5)=1/(3*x)

12*5=3x

x=20

Answer:

ari is adding (-7) and (-2). She adds their absolute values and says the answer is 9.

What did Mari forget?

A

that is neither positive nor negative

B

to move left on the number line

С

to keep the sign of the larger integer

D

to keep the sign of the two integers being adde

Step-by-step explanation:

Answer:

28.5

Step-by-step explanation:

9x5/2 + (6x2)/2

Answer:

Step-by-step explanation:

Area of triangle= 1/2 (Length x breadth)

For first triangle : 1/2 x 6 x 2= 6cm^2

For the second triangle:

1/2 x 9 x 5=22.5 cm^2

Summing both of them :

22.5 + 6 = 28.5cm^2

Hope it helped:)

Answer:

A) {-1,2}

Step-by-step explanation:

square both side of the equation. Then:

x+2=x^2

simplify:

x^2-x-2=0

factor:

(x+1)(x-2)=0

then:

x=-1, x=2

Answer:

B

Step-by-step explanation:

Given

[tex]\sqrt{x+2}[/tex] = - x ( square both sides )

x + 2 = (- x)² = x² ( subtract x + 2 from both sides )

0 = x² - x - 2 ← in standard form

0 = (x - 2)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = - 1

As a check

Substitute these values into the equation and if both sides are equal then it is a solution.

x = 2 : left = [tex]\sqrt{2+2}[/tex] = [tex]\sqrt{4}[/tex] = 2, right side = - 2 ← not equal

Thus x = 2 is an extraneous solution

x = - 1 : left = [tex]\sqrt{-1+2}[/tex] = [tex]\sqrt{1}[/tex] = 1 , right side = - (- 1) = 1 ← equal

Thus the solution is { - 1 } → B

Answer:

12x+2+6x=110(Exterior angle is equal to sum of two non adjacent angles)

18x=110-2

18x=108

x=108/18

x=6

Therefore the value of x is 6

Answer:

Width of the garden box = 4 feet

Step-by-step explanation:

Given that:

Length of garden box = 22 feet

Let,

w be the width of garden box

It is also given that:

The length of a garden box is 6 feet longer than 4 times the width.

L = 4w + 6

Putting L = 22

22 = 4w + 6

22 - 6 = 4w

4w = 16

Dividing both sides by 4

[tex]\frac{4w}{4}=\frac{16}{4}\\w=4[/tex]

Hence,

Width of the garden box = 4 feet

Cost of renting a truck for one day = $96

Money Calvin can spend = $120

Money left with Calvin after he spends on the daily rent :

[tex] = \tt120 - 96[/tex]

[tex] = \tt\$ 24[/tex]

Cost charged per mile = 0.60

Number of miles he can drive the rental truck :

[tex] =\tt 24 \div 0.60[/tex]

[tex] = \color{plum}\tt40 \: \: miles[/tex]

Thus, number of miles he can run the truck = 40 miles

Therefore, Calvin can run the truck for 40 miles after he pays the daily fee.

Answer:

[tex]\frac{1}{k^{12} }[/tex]

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

Answer:

637.9

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

Given

<A = 20 + x

<B = 10+2x

Since <A and <B are supplementary then the sum of their angles is 180 degrees

<A + <B = 180

20+x + 10+2x = 180

30+3x = 180

3x = 180-30

3x = 150

x = 150/3

x = 50 degrees

Hence the value of x is 50 degrees

Answer:

It's 1, 2 and 5

Step-by-step explanation:

I just did the quiz :)

Answer:

x = -23

x = -33

Step-by-step explanation:

-10(x+5) + 9x = -73

-10x - 50 + 9x = -73

x - 50 = - 73

x = -73 + 50

x = -23

-5(x + 8) + 2x = 59

-5x - 40 + 2x = 59

-3x - 40 = 59

-3x = 59 + 40

-3x = 99

x = 99/-3

x = -33

Answer:

Answer:

x=23

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−10(x+5)+9x=−73

(−10)(x)+(−10)(5)+9x=−73(Distribute)

−10x+−50+9x=−73

(−10x+9x)+(−50)=−73(Combine Like Terms)

−x+−50=−73

−x−50=−73

Step 2: Add 50 to both sides.

−x−50+50=−73+50

−x=−23

Step 3: Divide both sides by -1.

−x/−1 = −23/−1

Answer:

[tex] 80{ft}^{2} [/tex]

[tex]a \: = \frac{1}{2} b \times h \\ a = \frac{1}{2} \times 8 \times 20 \\ a= \frac{1}{2} \times 160 \\ a = 80[/tex]

Answer: 50.1

Step-by-step explanation:

Answer:

75%

Step-by-step explanation: