Who on connections academy can help me with the chaos and theory portfolio worksheet?

Mr.Gadgets car broke down on the turnpike.Acme towing charged $30 plus $3 per mile to tow the car.If Mr.Gadget paid $174, how fa

aalyn [17]

The car was towed for 48 miles.

Step-by-step explanation:

Given,

Amount charges by Acme towing = $30

Per mile charges = $3

Total charged = $174

Let, x be the number of miles.

Towing charges + Per mile charges*number of miles = Total charged

30+3x=174

Subtracting 30 from both sides

$30-30+3x=174-30\\3x=144$

Dividing both sides by 3

$\frac{3x}{3}=\frac{144}{3}\\x=48$

The car was towed for 48 miles.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Find the tangent of angle Θ in the triangle below.

Rina8888 [55]

Answer: $\frac{\sqrt{65}}{4}$

Step-by-step explanation:

By the Pythagorean theorem, the unknown side has length

$\sqrt{9^{2}-4^{2}}=\sqrt{65}$

Therefore,

$\tan \theta=\boxed{\frac{\sqrt{65}}{4}}$

4 0

1 year ago

Blanche bought a 5-year cd for $7100 with an apr of 2.8%, compounded quarterly, but she wants to take all her money out 9 months

lesantik [10]

Answer:

The money she will end up earning in interest on the cd = $11,352.90

Step-by-step explanation:

The formula for getting the accumulated amount(compounded) is;

$A =P(1+\frac{r}{n})^n*t$

Where

A = Accumulated amount

P = principle (deposit)

r = interest rate and

n = no of times interest applied per time period.

The interest is compounded quarterly so in one year it will be 4 times

In 5 years

n = (5×4)-3 = 17 (as she will withdraw 3 month before the completion of five years)

A = $7100(1+\frac{2.8}{100} )$ ^17

= 7100( 1 + 0.028)^17

= 7100(1.028)^17

= 7100 * 1.599

= 11,352.90

Therefore the money she will end up earning in interest on the cd = $11,352.90

8 0

3 years ago

What is the branch of mathematics that uses variables and operations?

Grace [21]

Answer:

Algebra

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which is steeper, a slide that rises 3 feet for every 2 feet of run, or a sliding pole that rises 5 feet for every 3 feet of run

mezya [45]

Answer:

59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.

Step-by-step explanation:

Step 1

Express the angle of inclination as follows;

Tan∅=H/R

where;

∅=angle of inclination

H=vertical rise

R=distance of run

Step 2

Determine the angle inclination when;

H=3 feet

R=2 feet

replacing;

Tan∅=(3/2)=1.5

∅=Tan^(-1)(1.5)

∅=56.31°

Determine the angle inclination when;

H=5 feet

R=3 feet

replacing;

Tan∅=(5/3)=1.67

∅=Tan^(-1)(1.67)

∅=59.03°

59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.

6 0

3 years ago