Marie bought a shirt on sale. The original price of the shirt was $40. What is the sale price of the shirt after a 20% discount?

Answer:

x = 286.01 inches

Step-by-step explanation:

Given that,

Height of the ramp, H = 20 inches

Angle of elevation, [tex]\theta=4^{\circ}[/tex]

We need to find the value of x. It can be solved using trigonometry as follow :

[tex]\tan\theta=\dfrac{P}{B}[/tex]

Where

P is perpendicular and B is base

So,

[tex]\tan(4)=\dfrac{20}{x}\\\\x=\dfrac{20}{\tan(4)}\\\\x=286.01\ in[/tex]

So, the value of x is equal to 286.01 inches.

(x + 5)^2 + (x/2 + 6)^2 = (30)^2

Take it from here.

Answer:

pole height = 29 ft

Step-by-step explanation:

x² = 30² - (1/2x + 6)² = 30² - (1/4x² + 6x + 36) = 900 - 1/4x² - 6x - 36

combine like terms:

x² = -1/4x² - 6x + 864

1 1/4x² + 6x - 864 = 0

divide both sides of the equation by 1 1/4:

x² + 4.8x - 691.2 = 0

(x - 24)(x + 28.8) = 0

x = 24 ft

pole height = 24 + 5 = 29 ft

Answer:

c = 85 in is the answer.

Step-by-step explanation:

a = 36 in

b = 77 in

c = ?

According to the Pythagoras theorem,

a² + b² = c²

36² + 77² = c²

1296 + 5929 = c²

7225 = c²

c = 85 in

∴ c = 85 in is the length of the missing leg.

Answer:

40 weeks

Step-by-step explanation:

1000 divided by 25=40

Answer:

-17

Step-by-step explanation:

A linear equation is given and we need to solve out and find the value of x. So ,

⇒ x+5/ 3+11 = -1

⇒ x + 5 = 14 (-1)

⇒ x + 5 = -14

⇒ x = -5-14

⇒ x = -17

Answer: #1 is the answer. Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Notice how the pairs of alternating exterior angles lie on opposite sides of the transversal but outside the two parallel lines.

Step-by-step explanation: Parallel Lines: Definition: We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.

a. I will payoff about $243 and 67 cents each month.

b. I will pay a total interest of 39.24%.

How do credit card payoffs work?

They work on the principle of compound interest.

After one year, I have to pay $(4200*18)/100 =$756 extra

which means my principle amount for second year will be 4200+756=4956$

After second year, I have to pay $(4956*18)/100=$892.08 extra

Total payoff at the end of second year=$4200+$756+$892.08=$5848.08

Therefore, each month I need to pay (5848.08/24)=$243.67

To calculate the interest:

Interest= (Total amount payoff - initial balance)*100/initial balance

            =(5848.08-4200)*100/4200

            =39.24%

To solve more such questions refer:

https://brainly.com/question/3576083

#SPJ2

Answer:

Answer: Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia

Step-by-step explanation:

Answer:

15,840 feet

Step-by-step explanation:

5,280*3 = 15840

Since she runs 3 miles each morning, and 1 mile is 5,280,

then you multiply 5,280*3

Answer:

X=28

Step-by-step explanation:

If x=28 then the degrees of the corners are 26, 84, and 70

Those added together equals 180 degrees, the amount of degrees a triangle is supposed to have.

Answer:

x = 28

Step-by-step explanation:

Okay, so we know that all the angles in a triangle are supposed to add up to 180°, and we already have our 26°, so we can take that off:

180 - 26 = 154

So our two angles add up to 156, so we set up our problem like this:

3x + 2x + 14 = 154

So now we combine like terms:

3x + 2x = 5x

So now our equation is:

5x + 14 = 154

So now we just have to do the inverse operations thing:

154 - 14 = 140

140 ÷ 5 = 28

So, x = 28

if this is wrong, let me know so I can fix it

hope this helps:)

Answer:

x²+y²=√(2/7 x-y)

is the answer, i think

Answer:

C) 2parts that are one eight each.

Step-by-step explanation:

The reason I chose C) as the correct answer is becasue I evaluated it with the steps below.

A) - 8 parts that are one fourth each.

  This cannot be correct because it would surpase the 2/8ths (would be over).

B) - 4 parts that are one-half each.

  This cannot be correct because it would surpass the 2/8ths (would be over).

C) - 2parts that are one eight each.

  This can be correct because 2 parts have 1/8th. 1/8 + 1/8 = 2/8.

D) - 2parts that are one fourth each.

  This cannot be correct because the denominator is not 8, it is 4 meaning it wouldn't fit into the format the question asked for (which was 2/8).

This makes the correct answer C).

  I hope this helps you understand and helps you in your question.

Answer:

Step-by-step explanation:

The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.

Null hypothesis: Vitamin C has no effect on preventing colds.

Alternative hypothesis: Vitamin C has a strong effect on preventing colds.

Assuming, significance level = 0.05

Since the p-value for the difference is 0.03 which is less than 0.05.

Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).

As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3   Solve each equation for a.

2⁄b2    and 4⁄b3 = a     Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2     Divide both sides by b2

2b = 4      a = 2/4 = 1/2

b = 2

y = 1 (2)x

     2

Step-by-step explanation:

Can you post a picture please

Answer:

in geometry nation its in two solids of equal altitude, parallel to and at the same distance.

Step-by-step explanation:

just got it wrong :(

Answer:

D

Step-by-step explanation:

Answer:

No, the smallest ratio between a hypotenuse and a leg is in the 45/45/90 special case. In this case, the ratio between the hypotenuse and either legs is

√2:1

If the leg is 10 inches long, the smallest the hypotenuse can be is 10√2.

Answer:

well, if I use a bit of lateral thinking; if y = 94, the the left hand side [ log(y-2)] simplifies down to log(92) which is the right hand side.

so y = 94

9514 1404 393

Answer:

  2 3/4 years

Step-by-step explanation:

The interest is given by the formula ...

  I = Prt . . . . . . principal P at annual rate r for t years

Solving for t gives ...

  t = I/(Pr)

  t = 4167.90/(16840×0.09) = 2.75

The duration of the loan is 2 3/4 years.

Answer:

yes sir/ma'am omw

Step-by-step explanation:

have a great evening

Answer:

D) h=2t+5

Step-by-step explanation:

Answer:

D) 5,572

Step-by-step explanation:

4/3×pi×r^3

4/3×3.14×11^3

5572.453...

5572

Answer:

(40/4) x 5 = 50 pages

Step-by-step explanation:

Answer:

50 pages

Step-by-step explanation:

You would have to cross multiply, 40/4 = x/5.

Then, you would get 200 = 4x.

Finally, you would have to divide both sides by 4 to get x by itself and you would get your final answer, x = 50. ( Where x equals the pages read in hour 5.)

Hope this helped you out!!

Answer:

$28.35

Step-by-step explanation:

[tex]45\% \times 63 \\ = 0.45 \times 63 \\ = 28.35[/tex]

Answer:

No solutions

Step-by-step explanation:

-8x+2y = -16

   4x-y  = 10 [multiply by 2 so it is easier to add/subtract]

-8x+2y = -16

8x -2y = 20

        0 = 4

0 and 4 cant be equal so theres no solution

Step-by-step explanation:

Add the corresponding sides of the two equations

1.

2x=6

x=3

substitute for x

3+y=-1

y=-4

4.

5x=10

x=2

substitute for x

2(2)+2y=-2

2y=-6

y=-3

5.

12y=24

y=2

substitute for y

6x+5(2)=4

6x+10=4

x=-6

x=-1

Answer:

Q3. x = 3, y = -4

Q4. x = 2, y = -3

Q5. x = -1, y = 2

Step-by-step explanation:

Since the question is asking us to solve the system using elimination/adding, that's what I'll do.

To solve by adding, we add the like terms of both equations together.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1st question:

x + y = -1

x - y = 7

We add the first term together.

x + x = 2x

Then the second term.

y + -y = y - y = 0

Then the last term.

-1 + 7 = 6

Which becomes:

2x = 6

Then we solve the linear equation.

2x = 6

÷ 2  ÷ 2

x = 3

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

x + y = -1

Substitute x = 3

3 + y = -1

-3         -3

y = -4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2nd question:

2x + 2y = -2

3x - 2y = 12

We add the first term together.

2x + 3x = 5x

Then the second term.

2y + - 2y = 2y - 2y = 0

Then the last term.

-2 + 12 = 10

Which becomes:

5x = 10

Then we solve the linear equation.

5x = 10

÷5   ÷5

x = 2

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

2x + 2y = -2

Substitute x = 2

4 + 2y = -2

-4           -4

2y = -6

÷2   ÷2

y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3rd question:

6x + 5y = 4

-6x + 7y = 20

We add the first term together.

6x + -6x = 6x - 6x = 0

Then the second term.

5y + 7y = 12y

Then the last term.

4 + 20 = 24

Which becomes:

12y = 24

Then we solve the linear equation.

12y = 24

÷12   ÷12

y = 2

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

6x + 5y = 4

Substitute y = 2

6x + 10 = 4

-10          -10

6x = -6

÷6   ÷6

x = -1

answer:

Cami is 35 and Enrique is 11

35 plus 11 = 46