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devlian [24]
3 years ago
6

Ashley drove 315 miles in 5 hours.

Mathematics
1 answer:
kaheart [24]3 years ago
5 0

Answer:

13 hours

Step-by-step explanation:

divide 315 miles by the amount of hours to figure out how many miles she drives in an hour (63 mph)

819 miles divided by the speed (63 mph) gives you the amount of hours it takes her to drive 819 miles.

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An angle is five times its supplement. Find both angles.
noname [10]
The measure of the smaller angle is 30 degrees.
The measure of the larger angle is 150 degrees.

What I did:
supplementary angle=180 degrees.
<span>An angle is five times its supplement=180/6=
30
30*5=150
150+30=180

</span>
5 0
3 years ago
The next model of a sports car will cost 5.2% less than the current model. The current model costs $41,000. How much will the pr
Ivanshal [37]

The price will decrease by $2132

<u>Step-by-step explanation</u>

Given that the next model of the sports car will cost 5.2% less than the current model.

The price of the current model=$41000

The price of the next model will be 5.2% less than $41000

price\ of\ next\ model=price\ of \ current \ model \times(100-5.2)/100\\=41000\times 94.8/100\\=38868

decrease in price=41000-38868=2132

There is a $2132 decrease in prize of the sports car.

3 0
3 years ago
Solve the simultaneous equations<br>4x+3y=1<br>4x^2+3xy+y^2=2​
Fantom [35]

Notice that the second equation,

4<em>x</em> ² + 3<em>xy</em> + <em>y</em> ² = 2

can be written as

<em>x</em> (4<em>x</em> + 3<em>y</em>) + <em>y</em> ² = 2

and the first equation says 4<em>x</em> + 3<em>y</em> = 1, so this reduces to

<em>x</em> + <em>y</em> ² = 2

Solve the first equation for <em>x</em> :

4<em>x</em> + 3<em>y</em> = 1

4<em>x</em> = 1 - 3<em>y</em>

<em>x</em> = (1 - 3<em>y</em>)/4

Substitute this into the reduced second equation to get a quadratic equation in <em>y</em>, which happens to be easily factorized and solved:

(1 - 3<em>y</em>)/4 + <em>y</em> ² = 2

1 - 3<em>y</em> + 4<em>y</em> ² = 8

4<em>y</em> ² - 3<em>y</em> - 7 = 0

(4<em>y</em> - 7) (<em>y</em> + 1) = 0

4<em>y</em> - 7 = 0   <u>or</u>   <em>y</em> + 1 = 0

<em>y</em> = 7/4   <u>or</u>   <em>y</em> = -1

Solve for <em>x</em> :

<em>x</em> = (1 - 3 (7/4))/4   <u>or</u>   <em>x</em> = (1 - 3 (-1))/4

<em>x</em> = -17/16   <u>or</u>   <em>x</em> = 1

So the two solutions are (<em>x</em>, <em>y</em>) = (-17/16, 7/4) and (<em>x</em>, <em>y</em>) = (1, -1).

8 0
2 years ago
Simultaneously x-2y=0 40-y=14​
harkovskaia [24]

Answer:

x = 52, y = 26

Step-by-step explanation:

x - 2y = 0

40 - y = 14​

(40 - 40) - y = 14​ - 40

- y = -26

y = 26

x - 2(26) = 0

x - 52 = 0

x (- 52 + 52) = 0 + 52

x = 52

7 0
3 years ago
Annie went on a shopping trip to Lexington. Is she purchasing handbag originally priced at $25 but discounted 20%. If sales tax
VikaD [51]

Answer:

$0.05

Step-by-step explanation:

5 0
3 years ago
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