a car rents for $30 per day plus 19 cents per mile. you are on a daily budget of $87 what mileage will allow you to stay within your budget (solution {m/≤_miles)

Answers

Answer 1

Answer: $\boxed{y=30+0.19x}\n \n y=87\n \n 30+0.19x=87\n \n 0.19x=57\n \n x=(57)/(0.19)\n \n x=300 \ miles$

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If QRST is a rectangle, find the value of x if angle Q is equal to 5x+30

Answers

A rectangle is a four-sided flat shape where every angle is a right angle (90°).

$QRST = 90^0$

$5x + 30 = 90$

$5x = 60$

$5x = 60 / 5$

$x = 12$

If QRST is a rectangle then Q = 90°.

Threfore

5x + 30 = 90 |subtract 30 from both sides

5x = 60 |divide both sides by 5

x = 12

Katie ordered candles that cost $3 each from a website. She was charged a flat shipping fee of $6 and no sales tax. If she spent a total of $54, which equation can be used to find c, the number of candles she ordered?A. 3c = 54

B. 6c = 54

C. 3c + 6 = 54

D. 3c – 6 = 54

Answers

Answer:

Equation can be used to find the number of candles (c) Katie ordered is 54 = 3c + 6 .

Option (C) is correct .

Step-by-step explanation:

As given

Katie ordered candles that cost $3 each from a website.

She was charged a flat shipping fee of $6 and no sales tax.

If she spent a total of $54,

c represented the number of candles .

Equation becomes

Total cost = Cost per candle + Flat shipping fee

54 = 3 × c + 6

54 = 3c + 6

Equation can be used to find the number of candles (c) Katie ordered is 54 = 3c + 6 .

Option (C) is correct .

Answer:

C:3c + 6 = 54

Step-by-step explanation:

took the test

;)

Which is an equation of a circle with center (5, 0) that passes through the point (1, 1)? HELP ME PLEASE!! Answer Choices:

A.) (x - 1)2 + (y - 1)2 = 17
B.) (x + 5)2 + y2 = 17
C.) (x + 5)2 + y2 = 24
D.) (x - 5)2 + y2 = 17

Answers

a) first we will calculate the distance between center and given point because this is the radius of circle:

$d=√((1-5)^2+(1-0)^2)\n \n d=√((-4)^2+1)=√(17)$

b) Now we will write the equation of the circle:

$\boxed{\boxed{(x-5)^2+y^2=17}}$

Convert 0.0049 as a decimal fraction

Answers

0.0049 as a fraction would be converted to 49 over 10000

to convert 0.0049, we count the number of digits after the decimal point.

we find it 4.

Thus, there will be 4 zeroes in the denominator.

We get 49/10000

115% of what number is 120