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nirvana33 [79]
2 years ago
10

In some cities you can rent a car for ​$15 per day and ​$0.40 per mile. ​(a) find the cost of renting the car for one day and dr

iving 400 miles. ​(b) express the total rental expense as a function of the miles driven​ (x) when the car is rented for one day.
Mathematics
1 answer:
aniked [119]2 years ago
5 0

So the cost for renting the car for one day and driving it for 400 miles would be around 15 + 400 (0.4) = 160 + 15 = 175$

To write an expression for a day you can obviously just make up one by putting in x as the number of miles. So to calculate the cost for x miles you can write x * (0.4) and more over at the end we have to add the 15$ so the expression equals to 15 + 0.4 (x)

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3 years ago
The height of a triangle is 3cm less than twice the base. The area is 10cm2
Kamila [148]

Answer:

The base is 4cm and the height is 5cm.

Step-by-step explanation:

This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:

H=2B-3

and

\frac{B \times H}{2}=10

Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:

\frac{B(2B-3)}{2}=10\\\frac{2B^2-3B}{2}=10\\2B^2-3B=20\\2B^2-3B-20=0\\(2B+5)(B-4)=0\\B= - \frac{5}{2},4

In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:

H=2(4)-3\\H=8-3\\H=5

3 0
3 years ago
I need help finding the missing angle with work plz <br> ANSWER ASAP!!!!!!
Gemiola [76]

Answer:

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Step-by-step explanation:

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100+x = 180

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100-100+x=180-100

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anyanavicka [17]

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3 years ago
A cube-shaped box has a volume of 1/8 of a cubic meter. What is the perimeter of each of its
belka [17]

Given:

The volume of a cube-shaped box is \dfrac{1}{8} cubic meter.

To find:

The perimeter of each of its faces.

Solution:

Let "a" be the side length of the cube shaped box. Then the volume of the box is:

V=(side)^3

V=a^3

It is given that the volume of a cube-shaped box is \dfrac{1}{8}  cubic meter.

a^3=\dfrac{1}{8}

Taking cube root on both sides, we get

a=\dfrac{1}{2}

Now, the perimeter of each face of a cube is:

P=4a

Where, a is the side length of the cube.

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P=4\times \dfrac{1}{2}

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