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ANEK [815]
3 years ago
11

A rental car agency charges $240.00 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $3

70.50?
Mathematics
1 answer:
nata0808 [166]3 years ago
7 0

Answer:

870 miles

Step-by-step explanation:

$240 = 1 week of renting the car

$0.15 = 1 mile

$370.50 = total cost for renting & miles

370.50 - 240 = 130.5

130.5/ .15 = 870

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In a figure, OB is the radius of a big semicircle and XB is the radius of the small semicircle. Given that OX = 14 cm, Calculate
oee [108]

Answer:

perimeter of the shaded region = 88 +44+28 =160 cm

Step-by-step explanation:

perimeter of shaded region = length AO + arc OB + arc AB

length AO = radius of bigger circle

radius of bigger circle = OX + OB = 2×radius of smaller circle = 2×14 cm = 28 cm

therefore AO = 28 cm

length of arc oB= half of circumference of smaller circle = \pi×14 = 44 cm

length of arc ab = half of circumference of bigger circle  = \pi×28 =\frac{22}{7}×28= 88

therefore perimeter of the shaded region = 88 +44+28 =160 cm

area of the shaded region = half of area of bigger circle - half of area of smaller circle

                                           =\frac{1}{2} \pi 28^{2} -\frac{1}{2} \pi 14^{2}

                                           =\frac{\pi }{2} (28^{2} -14^{2} )

  solving we gen area of shaded region = 924

7 0
3 years ago
What is the equation of a line perpendicular to y=-2/5X-1 that passes through (2,-8)
AysviL [449]

Answer:

y=\frac{5}{2}x-13

Step-by-step explanation:

Given the equation

y=-\frac{2}{5}x-1

comparing the equation with the slope-intercept formy=mx+b

Here,

  • m is the slope
  • b is the intercept

so the slope of the line is m = -2/5

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line,

so  the slope of the perpendicular line will be: 5/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (2,-8) is:

y-y_1=m\left(x-x_1\right)

y-\left(-8\right)=\frac{5}{2}\left(x-2\right)

y+8=\frac{5}{2}\left(x-2\right)

subtract 8 from both sides

y+8-8=\frac{5}{2}\left(x-2\right)-8

y=\frac{5}{2}x-13

8 0
3 years ago
X/3+9=17 simplify your answer
frosja888 [35]
I think the answer might be x=24
8 0
3 years ago
What is the coefficient of X^2Y^2 in the expansion of (x+y)^4
nata0808 [166]

Answer:

6

Step-by-step explanation:

We want to expand this; (x + y)⁴

This can be written as;

(x + y)² × (x + y)²

This gives;

(x² + 2xy + y²) × (x² + 2xy + y²)

This gives;

x²(x² + 2xy + y²) + 2xy(x² + 2xy + y²) + y²(x² + 2xy + y²) = x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴

Simplifying gives;

x⁴ + 4x³y + 4xy³ + 6x²y² + y⁴

Thus, the coefficient of x²y² is 6

3 0
3 years ago
Find the area. Answer without units
sergiy2304 [10]
I think it would be 105


19+15+32+13+26
4 0
3 years ago
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