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satela [25.4K]
3 years ago
7

If the sales price of a toy car is $64, including a 20% discount, what was the regular price of the toy card before the discount

?
Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0
Hi there! So the toy car was on sale for 20%, and the sale price is $64. To find the original price of the toy car, we can write and solve a proportion. Set it up like this:

64/x = 80/100

This is because 64 is part of the whole, which is the original price, and although you get a 20% discount, you still have to pay 80% of the original price, which is why 80 is over the 100, in stead of 20. Let's cross multiply the values. 64 * 100 is 6,400 and 80 * x is 80x. That leaves 6,400 = 80x. Now, divide each side by 80 to isolate the x. 80x/80 cancels out. 6,400/80 is 80. We found the number, but let's check it. 80 * 80% (0.8) is 64. There. x = 80. The regular price of the toy car was $80.
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6. A sector of a circle is a region bound by an arc and the two radii that share the arc's endpoints. Suppose you have a dartboa
Aliun [14]

Given the dartboard of diameter 20in, divided into 20 congruent sectors,

  • The central angle is 18^\circ
  • The fraction of a circle taken up by one sector is \frac{1}{20}
  • The area of one sector is 15.7in^2 to the nearest tenth

The area of a circle is given by the formula

A=\pi r^2

A sector of a circle is a fraction of a circle. The fraction is given by \frac{\theta}{360^\circ}. Where \theta is the angle subtended by the sector at the center of the circle.

The formula for computing the area of a sector, given the angle at the center is

A_s=\dfrac{\theta}{360^\circ}\times \pi r^2

<h3>Given information</h3>

We given a circle (the dartboard) with diameter of 20in, divided into 20 equal(or, congruent) sectors

<h3>Part I: Finding the central angle</h3>

To find the central angle, divide 360^\circ by the number of sectors. Let \alpha denote the central angle, then

\alpha=\dfrac{360^\circ}{20}\\\\\alpha=18^\circ

<h3>Part II: Find the fraction of the circle that one sector takes</h3>

The fraction of the circle that one sector takes up is found by dividing the angle a sector takes up by 360^\circ. The angle has already been computed in Part I (the central angle, \alpha). The fraction is

f=\dfrac{\alpha}{360^\circ}\\\\f=\dfrac{18^\circ}{360^\circ}=\dfrac{1}{20}

<h3>Part III: Find the area of one sector to the nearest tenth</h3>

The area of one sector can be gotten by multiplying the fraction gotten from Part II, with the area formula. That is

A_s=f\times \pi r^2\\=\dfrac{1}{20}\times3.14\times\left(\dfrac{20}{2}\right)^2\\\\=\dfrac{1}{20}\times3.14\times10^2=15.7in^2

Learn more about sectors of a circle brainly.com/question/3432053

8 0
2 years ago
Before we can make the mashed potatoes, we need to boil some water. The water starts out at room temperature, 70° F, and increas
Karolina [17]

Answer:

Part a) y=50t+70

Part b) t=2.84\ min

Step-by-step explanation:

Part a) Create a linear equation

Let

t ----> the time in minutes

y ---> the temperature in °F

we know that

The linear equation in slope intercept form is equal to

y=mt+b

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

In this problem we have

The slope m is equal to

m=50\° F\ per\ minute

The y-intercept is

b=70\° F

substitute

y=50t+70

Part b) How many minutes until the water boils at 212° F?

For y=212° F

substitute in the linear equation and solve for t

212=50t+70

50t=212-70

50t=142

t=2.84\ min

6 0
3 years ago
HELP
mestny [16]

Answer:P=\frac{2}{5}

Step-by-step explanation:

Given

A movie theater has 7 seats in the front row  

12 seats in the middle row

11 seats in the back row

Probability first person who enters the theater will be in the middle row

P=\frac{\text{No. of middle seats}}{\text{total seats}}

P=\frac{12}{7+12+11}=\frac{12}{30}

P=\frac{2}{5}

8 0
3 years ago
Plz help me tha ks so myxhhh​
Naily [24]
The answer is (4)

Hope this helps :)
3 0
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prohojiy [21]

Answer:

the last on bottom right :)

Step-by-step explanation:

3 0
2 years ago
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