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Greeley [361]
3 years ago
9

Find the values of x and y. X= __ Y= __

Mathematics
1 answer:
azamat3 years ago
6 0

Answer:

x = 20

y = 100

Step-by-step explanation:

To figure out x do this.

3x + 2x = 7x - 40 (collect like terms)

5x = 7x -40 (subtract 7x on both sides)

-2x = -40 (divide by -2 on both sides)

x = 20

Plug in to get y

Since 7x - 40 and y are vertical they equal the same amount

7(20) - 40 = y (multiply 7 by 20)

140 - 40 = y (collect like terms)

100 = y

Hope this helps ya! Keep smiling!

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The circle with center O has a minor arc BSA with a length of
tangare [24]

Answer:

D. \frac{27\pi}{2} inches.

Step-by-step explanation:

We have been given that the circle with center O has a minor arc BSA with a length of 3\pi^{2} inches. The central angle is 40°.

To find the circumference of circle we will use formula:

\frac{\text{Central angle}}{2\pi}=\frac{\text{Arc length}}{2\pi r}, where 2\pi= measure of 360 degrees in radians and 2\pi r= circumference of circle.  

Let us convert measure of central angle into radians.                        

40^{o}=\frac{40*\pi}{180} =\frac{2\pi}{9}

Upon substituting our given value in the formula we will get,        

\frac{\frac{2\pi}{9}}{2\pi}=\frac{\frac{3\pi}{2}}{2\pi r}

\frac{2\pi}{18\pi}=\frac{3\pi}{4\pi r}    

\frac{1}{9}=\frac{3}{4r}      

Cross multiplying we will get,      

4r=27  

r=\frac{27}{4}

Hence, the radius of our circle is 27/4 inches.  

Since the circumference of circle is 2\pi r. Upon substituting  r=\frac{27}{4} we will get,

2\pi r=2\pi* \frac{27}{4}=\frac{27\pi}{2}

Therefore, circumference of our given circle will be \frac{27\pi}{2} inches and option D is the correct choice.

6 0
3 years ago
Please answer in only a fraction please..
fenix001 [56]

Answer:

19/40

Step-by-step explanation:

1.9*(1/4) =0.475

0.475=19/40

3 0
3 years ago
Read 2 more answers
If I have 25 dollars and want to buy something for 14 dollars and 99 cents how much money will I have left
timurjin [86]
25.00
- 14.99
————
10.01

Your answer is 10.01
3 0
3 years ago
Read 2 more answers
Volume problem. Will give brainliest if correct
svp [43]

Answer:

<em>$ 33.6 to fill this tank, provided a community cost of $2.8 per gallon</em>

Step-by-step explanation:

1. Let us first find the volume of the gas the tank, by the general multiplication of Base * height ⇒ 11 inches * 1.25 feet * 1.75 feet. For the simplicity, we should convert feet ⇒ inches, as such: 1.25 feet = 1.25 * 12 inches = 15 inches, 1.75 feet = 1.75 * 12 inches = 21 inches. Now we have a common unit, let us find the volume ⇒ 11 in. * 15 in. * 21 in. = 3465 inches^3.

2. Let us say that the the average price of gas in my community is $2.8 per gallon. We would first have to convert inches ⇒ gallons provided 1 gallon = 231 inches: 3465/231 = 15 gallons.

4. Now simply multiply this price of 2.8 dollars per gallon by the number of gallons to receive the cost if the tank was full: 2.8 * 15 = <em>$ 42 if this tank was full provided a community cost of $ 2.8 per gallon</em>

5. Now this tank is 20% full, so we must calculate the cost to fill the other 80% up. That would be 80/100 * 42 = 4/5 * 42 = 168/5 = <em>$ 33.6 to fill this tank, provided a community cost of $2.8 per gallon</em>

8 0
3 years ago
Nick and Liz have decided to move from the city to the suburbs. This means that they will have to make the essential purchase of
sineoko [7]

Answer:

$=19400

Step-by-step explanation:

Average prices= $18,500

Number of prices that were quoted= 7

Expected sum that produces this mean= 7*18,500=$129,500

Sum of quoted prices=

$(15,500+ 18,800+ 16,900+ 19,900+18,000+21,000) =$110100

Next price to be quoted will be ;

$129,500-$110,100

$=19400

6 0
3 years ago
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