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3 years ago

The cost to rent a van is $19.50 per day plus $0.25 per mile. If you have $157 to

Mathematics

1 answer:

Jobisdone [24]3 years ago

6 0

Answer:

92 miles

Write an inequality for the total cost of the rental.

Cost of the rental = 19.50+0.25x<=44

where x is the number of miles driven.

Subtract 19.50 from both sides.

0.25x<=44-19.50

0.25x<=24.5

x<=24.5/0.25

x<=98

Step-by-step explanation:

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Directions: Simplify each expression by distributing <br> 1. 8(x + 5) =<br> 3.-2(3m + 9) =

TiliK225 [7]

Answer:

8x +40
-6m-18

Step-by-step explanation:

$8(x + 5) = \\ 8(x) + 8(5) \\ = 8x + 40$

$- 2(3m + 9) \\ = - 2(3m) - 2(9) \\ = - 6m - 18$

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3 years ago

3. A straight line passes through two points with

kirza4 [7]

Answer:

Step-by-step explanation:

Find the slope of the line

(x₁ , y₁) = (6 , 8) & (x₂ , y₂) = (0 , 5)

$Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{5-8}{0-6}\\\\=\frac{-3}{-6}\\\\=\frac{1}{2}$

m = 1/2 ;(x₁ , y₁) = (6 , 8)

y - y₁ = m(x - x₁)

$y - 8 = \frac{1}{2}(x - 6)\\\\y - 8 =\frac{1}{2}x -\frac{1}{2}*6\\\\y - 8 =\frac{1}{2}x- 3\\\\y = \frac{1}{2}x - 3 + 8\\\\y = \frac{1}{2}x + 5$

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3 years ago

1. m∠ABD=50°, m∠DBC=40° Given 2. m∠ABD+m∠DBC=m∠ABC Response area 3. Response area Substitution Property of Equality 4. Response

galina1969 [7]

Answer:

<abd+<dbc=<Abc

50+40=90

triangle abc is a right angled triangle being one angle 90 degree

6 0

3 years ago

If x= 8 x 9 x 27 then what is 3 square root of x

forsale [732]

Answer: 132.27

Step-by-step explanation:

Multiply 8 × 9 × 27 to get the value of x

= 1944

To get 3 square root of 1944, find the square root of 1944 = 44.09

3 square root of 1944 = 3 x 44.09 = 132.27

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2 years ago

Quadrilateral ABCD?<br>

Mashutka [201]

The given quadrilateral is a kite.

Given: Point A (2, 4), B (-2, -5), C (7, -1) and D (7, 4)

Firstly, we find the distance between AD and DC

AD = $\sqrt{(7 - 2)^{2} + (4 - 4)^{2} }$

⇒ AD = $\sqrt{5^{2} }$

⇒ AD = 5

DC = $\sqrt{(7 - 7)^{2} + (4 - (-1))^{2} }$

⇒ DC = $\sqrt{5^{2} }$

⇒ DC = 5

Hence, AD = DC = 5

Now, find the distance between AB and BC

AB = $\sqrt{(-2 - 2)^{2} + (-5 - 4)^{2} }$

⇒ AB = $\sqrt{(-4)^{2} + (-9)^{2} }$

⇒ AB = $\sqrt{16 + 81}$

⇒ AB = $\sqrt{97}$

BC = $\sqrt{(7 - (-2))^{2} + (-1 - (-5))^{2} }$

⇒ BC = $\sqrt{9^{2} + 4^{2} }$

⇒ BC = $\sqrt{81 + 16}$

⇒ BC = $\sqrt{97}$

Hence, AB = BC = √97

In the given quadrilateral, the two pair is of equal length and these sides are adjacent to each other.

Hence, it follows the property of kite.

For more questions on quadrilateral, visit:

brainly.com/question/23935806

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6 0

1 year ago