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Ratling [72]
3 years ago
7

Evan washes two types of vehicles. It takes him 30 minutes to wash a car and 40 minutes to wash a truck. He charges $12 to wash

a car and $15 to wash a truck. In 270 minutes, Evan made $105 washing cars and trucks. How many trucks did Evan wash?

Mathematics
2 answers:
Advocard [28]3 years ago
7 0
The answer is 3 i think
sattari [20]3 years ago
4 0

Answer:

3\ trucks

Step-by-step explanation:

Let

x-----> the number of cars

y----> the number of trucks

we know that

30x+40y=270 -----> equation A

12x+15y=105 -----> equation B

Using a graphing tool

Remember that the solution of the system of equations is equal to the intersection point both graphs

In this problem the intersection point is (5,3)

see the attached figure

therefore

x=5\ cars

y=3\ trucks


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Please help i need to finish this!!
s2008m [1.1K]

Answer:

20 inches x 26 inches

Step-by-step explanation:

set up an equation: (2x)(x+7)=520

now just solve it

2x^2+14x=520

x^2+7x-260 = 0

factor: (x-13)(x+20)

x = 13 and -20

13 is the only one that works because you can't have a negative side length

13+7=20

13*2=26

lmk if you don't understand how to solve that equation

5 0
3 years ago
What is the value of x in the equation 3(4x-1)-3x=5-(x-8)?
Setler [38]
12x-3-3x=5-(x-8)
9x-3=5-(x-8)
9x-3=5-x+ 8
9x-3=13-x
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10x=16
X= 8/5
4 0
3 years ago
Curtis spent $60 less than 3 times what Jaclyn spent. Curtis spent $36. How much did Jaclyn spend?
Rainbow [258]

Answer:

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5 0
2 years ago
Read 2 more answers
The tallest tree in the world is reputed to be a giant redwood named Hyperion located in Redwood National Park in California, US
dlinn [17]

Answer:

114.02 meters

Step-by-step explanation:

The information you're given about the tree will form a triangle, with the three corners being the top of the tree, the point where the tree meets the ground, and the specified point 41.5 meters from the tree. The angle of elevation (70°) is the angle made where the line representing the ground and the line connecting the top of the tree to the ground at the specified point connect.

The angle where the tree meets the ground is 90°, so the triangle a right triangle.

So this all means you know one angle of a right triangle (70°) and the side adjacent to this angle (41.5 meters). You're solving for the height of the tree, which is the side opposite of the angle you know. You can solve using either <em>Sine, Cosine, </em>or <em>Tangent.</em>

Use the acronym SOHCAHTOA to figure out which of those three functions to use. Feel free to look this up for more information if you haven't heard of it before. In this case, we're using Tangent (TOA = Tangent, Opposite side, Adjacent side)

To solve using any of those three functions, you'll need a scientific calculator. On your calculator, you'll see the buttons <em>SIN, COS, </em>and<em>TAN.</em> For this problem, press <em>TAN</em> and you'll see something appear that says <em>tan (___)</em>. You'll need to input a number to get your answer, and here's how to find that number:

Again referencing SOHCAHTOA, the "TOA" part lists Opposite first and then Adjacent. This is because you're going to write a fraction with those two numbers, and since Opposite is first, it's the numerator. That means that Adjacent is the denominator. We don't know the value of the opposite side, so it'll be represented by <em>x</em>, and we do know the value of the adjacent side, 41.5. This means the fraction is \frac{x}{41.5} .

This isn't the number to input into the calculator -- you need to isolate the variable:

The original equation is:

tan 70 = x/41.5

Multiply both sides by 41.5 (To cancel out the denominator and isolate <em>x</em>)

tan 70 (41.5) = x

Now you've got the equation for <em>x, </em>you're ready to put this in your calculator.

What appeared on your calculator was:

tan(__)

Input like follows:

(tan(70))41.5

The brackets are needed like that so the calculator knows to multiply the entire thing by 41.5. You might get a wrong answer otherwise.

Hit enter, and you'l get the height of the tree:

114.02 meters

5 0
3 years ago
Multi step equations​
baherus [9]

Answer:

what is the problem?

Step-by-step explanation:

3 0
3 years ago
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