On math benchmark need help

Answer:

My uncle is 78 years old.

Step-by-step explanation:

Let the age of your uncle be x.

400 - 2x = 244

Shift (-2x) to the other side and change it to (+2x).

400 = 244 + 2x

Shift (+244) to the other side and change it to (-244).

400 - 244 = 2x

Evaluate.

2x = 156

Find x.

x = 156 ÷ 2

x = 78

Answer:

The second one if that how to answer.

Step-by-step explanation:

Answer:

40 miles because they are da same size

Step-by-step explanation:

The perimeter of lot C is 46.64 miles

Lot C is a square, hence the perimeter of lot C with a length of each side as a miles is:

Perimeter = 4 * length = 4a

40 = 4a

a = 10 miles

Lot B is a square, hence the perimeter of lot B with a length of each side as b miles is:

Perimeter = 4 * length = 4b

24 = 4b

b = 6 miles

Let c represent the length of lot A,, since a, b, c form a right angle triangle. Using Pythagoras theorem:

c² = a² + b²

c² = 10² + 6²

c² = 136

c = 11.66 miles

Perimeter of lot C = 4 * c = 4 * 11.66 = 46.64 miles

The perimeter of lot C is 46.64 miles

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Answer:

the answer is a-11

Step-by-step explanation:

f(x)=2x+3

f(4)=2(4)+3

f(4)=8+3

f(4)=11

Answer:

10%

Step-by-step explanation:

You can easily make a number line starting on 120 counting all the way up tp 1200 and skip count on the bottom of the number line and you should end up with 10%

Answer:

its y=-4+9x/4

Click on the Pic I sent you with the answer to your question hopefully my answer helps you out I tried my best to solve it for you

The interest earned on a $30,000 deposit for six months at 1.5% interest compounded continuously will be $225.846.

Compound interest is applicable when there will be a change in the principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

The continuously compound interest formula is given by

P = P₀[tex]e^{rt}[/tex] where r is the annual interest rate and t is the time period in years.

So,

P₀ = 30000

r = 1.5% = 0.015

t = 6 months = 0.5 year

So,

P = 30000[tex]e^{0.015(0.5)}[/tex]

P = 30000 × 1.007528195

P = $30225.84586

So, interest

I = 30225.84586 - 30000 = $225.8486

Hence " The interest earned on a $30,000 deposit for six months at 1.5% interest compounded continuously will be $225.846".

For more information about compound interest,

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Answer:

x= 0.2

Step-by-step explanation:

9514 1404 393

Answer:

  [tex]a=\sqrt{33}[/tex]

Step-by-step explanation:

The Pythagorean theorem tells you that the area of the square with side 'a' is the difference of the areas of the other two squares.

  a² = 7² -4²

  a² = 49 -16 = 33

  a = √33

Answer:

$27.48

Step-by-step explanation:

687*0.04 which is $27.48

Hope this helps plz hit the crown :D

Answer:

27.48

Step-by-step explanation:

687 x .04 = 27.48

Answer: X=8

Step-by-step explanation:

Since the triangles are similar you can set up a proportion

16/10 = X/5

then cross multiply to create a system of equations

10X = 80

solve for X :)

Answer:

0.11 centimeters/minute

Useful Log Rules:

=========================================================

Part (a)

All logs shown below are base 3.

log(500) = log(5*100)

log(500) = log(5*10^2)

log(500) = log(5)+log(10^2) .... use log rule 1

log(500) = log(5) + 2*log(10) .... use log rule 3

log(500) = 1.4650 + 2*2.096 ....... substitution

log(500) = 5.657

=========================================================

Part (b)

All logs shown below are base 3.

log(2) = log(10/5)

log(2) = log(10) - log(5) .... use log rule 2

log(2) = 2.096 - 1.4650  ....... substitution

log(2) = 0.631

Answer:

1

I hope this helps! Do you need help on anything else?

Okay here are some pictures of the work, I can't do fractions on this. :)

Answer:

can u rewrite your answer in the chat thingy bc your equations are so close together it's hard to tell which is apart of which, I tried to answer them but I don't want you to get them wrong so rewrite it and I'll tell you the answers :)  

This graph represent a system of equation with one solution. The blue point is the solution.

Hope this helps ^◇^

Answer:

a.) B.) and C.)

Step-by-step explanation:

Answer:

3.64 for 13 candy bars

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Tip Total: $ 5.79

Tip Each Person: $ 2.90

Total (Bill + Tip): $ 34.74

Total Each Person: $ 17.37

Step-by-step explanation:

hope that helps homie

Answer:

Step-by-step explanation:

The angles of that 5-sided polygon add up to equal 540 degrees. So we add up all the angles and solve for x, then plug x back in to angle N to get our answer.

17x + 4 + 10x - 10 + 18x + 6 + 90 + 90 = 540 and

45x + 180 = 540 and

45x = 360 so

x = 8

Now we'll fill 8 back in for x to get the measure of angle N:

18(8) + 6 = 150, the last option listed

Answer:

The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.

The Area of a circle is

πr2=808.64

(3.14)r2=808.64

Divide both sides by 3.14

r2=257.5286624

Answer:

a1=6

a2=15

a3=24

a4=33

Mark AS BRAINLIEST Answer

Answer:

7u-4v/8

Step-by-step explanation:

u+6u=7u

-v+(-3v)=-v-3v=-4v

7u-4u/8

Answer:

It would be 2. 6x - 1 = 1 + x

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

500 lol

thanks for the free points!

have a great day!

Answer:

The answer is D.

Step-by-step explanation:

When you subtract 9 from h, the word “then” is a key term that means it’s usually in parentheses. Then you divide three.