A factory employs 1274 people across three departments. The second department employs 70 more people than the first department, and the third department employs 84 more people than the second department. How many people work in each department?


50 POINTS + BRAINILEST TO CORRECT ANSWER <3
also please show step by step if you can :D

Answer:

f(x)=-18x^2

Step-by-step explanation:

Given:

1+Integral(f(t)/t^6, t=a..x)=6x^-3

Let's get rid of integral by differentiating both sides.

Using fundamental of calculus and power rule(integration):

0+f(x)/x^6=-18x^-4

Additive Identity property applied:

f(x)/x^6=-18x^-4

Multiply both sides by x^6:

f(x)=-18x^-4×x^6

Power rule (exponents) applied"

f(x)=-18x^2

Check:

1+Integral(-18t^2/t^6, t=a..x)=6x^-3

1+Integral(-18t^-4, t=a..x)=6x^-3

1+(-18t^-3/-3, t=a..x)=6x^-3

1+(6t^-3, t=a..x)=6x^-3

That looks great since those powers are the same on both side after integration.

Plug in limits:

1+(6x^-3-6a^-3)=6x^-3

We need 1-6a^-3=0 so that the equation holds true for all x.

Subtract 1 on both sides:

-6a^-3=-1

Divide both sides by-6:

a^-3=1/6

Raise both sides to -1/3 power:

a=(1/6)^(-1/3)

Negative exponent just refers to reciprocal of our base:

a=6^(1/3)

Answer:

Angle 4 also has a measurement of 34 degrees because opposite angles of intersecting lines are congruent. In other words, angles 2 and 4 are congruent, so are angles 1 and 3.

Jake's Argument is correct, adding zero (0) to an addend does not change a sum.

Addend is number which is added to another number.

For example:

y + 5 = 8

where;

Adding zero (0) to an addend does not change a sum. An example is present below;

5 + 3 = 8

add zero (0) to 3 and check if the final result will change;

5 + (3 + 0) = 5 + 3 = 8

Thus, Jake's Argument is correct, adding zero (0) to an addend does not change a sum.

Learn more about addend number here: https://brainly.com/question/654494

Answer:

c = 4.2h

Step-by-step explanation:

the rate is 16.80 /4

4.20 per hour

earn = hours * rate

c = 4.20h

Answer:

[tex]c=4.20h[/tex]

Step-by-step explanation:

Given information:

Given variables:

To find Jasmine's hourly rate, divide the amount she earns by the number of hours worked:

[tex]\implies \dfrac{25.20}{6}=4.2[/tex]

[tex]\implies \dfrac{16.80}{4}=4.2[/tex]

Therefore, Jasmine earns $4.20 per hour.

The function that shows this information is:

[tex]\large\boxed{c=4.20h}[/tex]

Answer:

6 (i think :/)

Step-by-step explanation:

Answer:

The answer is 9

Explanation:

0.5a+8.75=13.25

We simplify the equation to the form, which is simple to understand

0.5a+8.75=13.25

We move all terms containing a to the left and all other terms to the right.

+ 0.5a=+13.25-8.75

We simplify left and right side of the equation.

+ 0.5a=+4.5

We divide both sides of the equation by 0.5 to get a.

a=9

Answer:

8x

Step-by-step explanation:

3x+5x=8x

3+5=8

x is the same variable.

Answer:

9

Step-by-step explanation:

To find this, first you must convert the percentage to a decimal. To do that, you must move the decimal point back two times.

22.5% --- 0.225

Then multiply the decimal by the number.

0.225 * 40 = 9

So, 22.5% of 40 is 9

Answer:

20 questions

Step-by-step explanation:

1.) Use the following equation:

[tex]\frac{x}{y}[/tex] = [tex]\frac{p}{100}[/tex]

2.) For this equation,

3.) Substitute

[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]

4.) Solve

[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]

[tex]\frac{x}{25}[/tex] = [tex]\frac{8}{10}[/tex]

[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]

5.) Cross Multiply

[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]

5x = 100

6.) Divide

5x = 100

x = 20

Therefore, you got 20 questions right.

Answer:

i think probably 3/7 is answer

Step-by-step explanation:

To solve percent problems, you can use the equation, Percent · Base = Amount, and solve for the unknown numbers. Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100.

Answer:

Base = Amount, and solve for the unknown numbers.Step-by-step explanation:

Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100. You can then use cross multiplication to solve the proportion.

Answer:

x = Total meal cost

y = Total cost-plus tip

113% * x  =  y

Answer:

Step-by-step explanation:

The existing line appears to pass through (0, 20) and (10, 50)

so the line slope is m = Δy/Δx = (50 - 20) / (10 - 0) = 3

parallel lines have identical slopes

y = 3x + b

15 = 3(4) + b

b = 3

D.  y = 3x + 3

[tex]\\ \rm\Rrightarrow m=\dfrac{25-20}{2}=5/2[/tex]

Equation of line in point slope form

[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]

[tex]\\ \rm\Rrightarrow y-15=5/2(x-4)[/tex]

[tex]\\ \rm\Rrightarrow 2y-30=5x-20[/tex]

[tex]\\ \rm\Rrightarrow 5x-2y+10=0[/tex]

Answer:

I think it x=33

Step-by-step explanation:

[tex]x+20+4x-5=180\\5x+15=180\\-15 -15\\5x = 165\\/5 /5\\x = 33[/tex]

Answer:

5

Step-by-step explanation:

1/2÷1/10=

1/2x10/1=

10/2=5

Answer:

the answer is 5

Step-by-step explanation:

keep change flip

1/2 x 10 =5

Answer:

i think probably x = 10

Step-by-step explanation:

sin(60°) = 5√3/x

√3/2 = 5 √3/x

√3 x = 10√3

x = 10

Answer:

6.4 should be the correct answer

Step-by-step explanation:

if im wrong and you wanted it in a different format im sorry

Answer:

alternate exterior angles are equal .

17x + 2 = 18x - 2

x = 2 + 2

x = 4

Step-by-step explanation:

Answer:

C. I,II,III

Step-by-step explanation:

Absolute value is the distance of a number from 0 on a number line. 6 is 6 units from 0, therefore this option is correct. -6 is 5 units to the left of 0, but it is still 6 units away, therefore this option is correct. 6 is 6 units away from 0, therefore, III is correct. But 0 is 0 units away from 0, therefore this option is incorrect.

Answer:

rise over run

Step-by-step explanation:

you look at the distance between the 2 points by looking at how many points its goes up or down, and you look at how points it goes from the left to the right or vice versa. but if you don't have a graph to look at, you will want to use the slope formula. look up the slope formula and plug it in.

Answer:

Step-by-step explanation:

From the point one on the graph, you go up (rise) making loops each time you go up (shown in red) then, once you've reached the same hight of point two, you go over (run), making loops once again (shown in blue). Then, you take the rise and put it over the run, so in the image attached it would be 4/3.

Answer:

n($6.50) + m($5.50) + k($6.00) = p

Step-by-step explanation:

n = matinee ticket

m = drink

k = popcorn

p = total cost

Without knowing the exact amount that was bought we must put a variable to show an unknown number. All of this together makes an algebraic expression.

Answer:

335.4

Step-by-step explanation:

You can use the Pythagorean Theorem (a^2 + b^2 = c^2)

300^2 + 150^2 = 112500

The square root of 112500 is 335.4

They are skipping -7, 5, -7.

The common difference of the sequence is 18.

Answer:

1) -15/4

2) -15/2

Step-by-step explanation:

1) Let u=4t. Then the limits become u=4(0)=0 and u=4(4)=16. Also du=4 dt upon differentiating the equation.

So the integral can be written as

Integral( 1/4 f(u) , u=0 to u=16)

We are given Integral( f(u) , u=0 to u=16) is -15. So a fourth of that is our answer for the first question.

2) Let u=t^2. Then the limits become u=(0)^2=0 and u=(4)^2=16. Also upon differentiating we obtain equation du =2 t dt.

So the integral becomes

Integral( 1/2 f(u) , u=0 to u=16).

We are given Integral( f(u) , u=0 to u=16) is -15. So a half of that is our answer for the second question.

Answer:

x = √7km

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

You take a right triangle and find the lengths of the two sides that are vertical and horizontal. Then, using the formula a^2 + b^2 = c^2, find the length of C

(aka: Hypotenuse)

hope this helps!

Answer:

seven

Step-by-step explanation:

Lol thxx for the points

Pls give brainliest! Also, plz sub to kgirl633 on yt.

Answer:

x = -3

Step-by-step explanation:

2/3x + 4 = 2

2/3x = 2 - 4

2/3x = -2

2x = -2 * 3

2x = -6

x = -6/2

x = -3