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Anika [276]
4 years ago
10

a package delivery company has determined that they can meet their schedules if they have 4 drivers for every 30 square miles of

area they cover. if they want to offer service to a county of 75 square miles, how many drivers must they have
Mathematics
1 answer:
patriot [66]4 years ago
4 0
4 / 30 = x / 75...4 drivers to 30 sq miles = x drivers to 75 sq miles
cross multiply
(30)(x) = (75)(4)
30x = 300
x = 300/30
x = 10 <== 10 drivers for 75 sq miles
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What is the slope of (10, 4), (4, 15)?
kakasveta [241]

Answer:

Slope is -11/6

Step-by-step explanation:

Given \:   points \:   are \:    (10,4) \:  \: and \: (4,15) \\ slope \:  =  \frac{y2 - y1}{x2 - x1}  \\ here \: x1 = 10 \:  \:  \: y1 = 4 \\ and \:  \: x2 = 4 \:  \:  \: and \:  \: y2 = 15 \\ on \: substituting \: the \: values \: in \: formula \\ slope =  \frac{15 - 4}{4 - 10}  \\  =  \frac{11}{ - 6}

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>.</em>

6 0
3 years ago
Lydia graphed ΔXYZ at the coordinates X (0, −4), Y (2, −3), and Z (2, −6). She thinks ΔXYZ is a right triangle. Is Lydia's asser
katrin [286]

Answer:

Option (4)

Step-by-step explanation:

Vertices of the triangle are X(0, -4), Y(2, -3) and Z(2, -6).

Slope of XY (m_{1}) = \frac{y-y'}{x-x'}

                            = \frac{-3+4}{2-0}

                     (m_{1}) = \frac{1}{2}

Similarly, slope of XZ (m_{2}) = \frac{-6+4}{2-0}          

                                   (m_{2}) = (-1)

m_{1}\times m_{2}=-\frac{1}{2}

Which should be (-1) if XY and XZ are perpendicular to each other.

Now we can say that XY and XZ are not perpendicular.

Therefore, Lydia's assertion that ΔXYZ is a right triangle is not correct.

Option (4) will be the answer.

5 0
3 years ago
Which expression can be used to detemine the reference for the angle, x, measuring 150 degree​
taurus [48]
Do you have an A B C it helps
4 0
4 years ago
What is the y value of the vertex 4x^2+8x-8
Oksana_A [137]

Answer:

The y-value of the vertex is -12

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

f(x)=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

In this problem we have

f(x)=4x^{2}+8x-8 -----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)+8=4x^{2}+8x

Factor the leading coefficient

f(x)+8=4(x^{2}+2x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)+8+4=4(x^{2}+2x+1)

f(x)+12=4(x^{2}+2x+1)

Rewrite as perfect squares

f(x)+12=4(x+1)^{2}

f(x)=4(x+1)^{2}-12

The vertex is the point (-1,-12)

The y-value of the vertex is -12

5 0
3 years ago
Read 2 more answers
Samantha has 23 strawberries and wants to put 4 strawberries into each bowl. How many bowls can Samantha put exactly 4 strawberr
Bogdan [553]

4 cannot go into 23 equally BUT! if you do 23 divided by 4 you'll get 5.75 which rounds up to 6. So on average she'll need 6 bowls for her 23 strawberries.

Edit: It should be 5 bowls because if she wants to put an equal amount of strawberries into her bowls it should be 5.

Hope it helped. :)

<em>~Noodles~</em>

8 0
3 years ago
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