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natima [27]
3 years ago
9

A family has 2 cars. the first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 2

0 miles per gallon of gas. during one particular week, the 2 cars went a combined total of 1300 miles, for a total gas consumption of 75 gallons. How man gallons were consumed by each of the cars that week?
car 1 :
car 2:
Mathematics
1 answer:
lora16 [44]3 years ago
8 0

Car 1: 15x

Car 2: 20y

15x+20y=1300

x+y=75

So y=75-x

15x+20(75-x)=1300

-5x+1500=1300

-5x=-200

x=40.

y=75-40

y=35

Car 1: 40 gallons

Car 2: 35 gallons


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Travka [436]

Answer:

yes

Step-by-step explanation:


6 0
3 years ago
A tub filled with 50 quarts of water empties at a rate of 2.5 quarts per minute. let w = quarts of water left in the tub and t =
Sholpan [36]

This is a linear relationship. The slope-intercept form of the linear equation is:

y=mx+c

Where,

  • m is the rate of change (positive if increasing rate and negative if decreasing rate)
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<u><em>Rate of change is 2.5 quarts per minute (it is decreasing so m is -2.5)</em></u>

<u><em>Initial value is 50 quarts, so c is 50.</em></u>

Plugging in the values we get y=-2.5x+50.


Changing variables to w instead of y and t instead of x, gives us,

w=50-2.5t. Where w is warts of water left in the tub and t is the time in minutes.


There is no viable solution when t=30 because at t=20, w=0 (0=50-2.5(20)). It means after 20 minutes, there is no water left. So t=30 minutes doesn't make sense.


ANSWER:

Modelling equation: w=50-2.5t

When t=30, there is no VIABLE solution

5 0
3 years ago
Read 2 more answers
A. Solve the differential equation <img src="https://tex.z-dn.net/?f=y%27%3D2x%20%5Csqrt%7B1-y%5E2%7D%20" id="TexFormula1" title
kirill [66]
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seperable differential equations will have the form
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what you do from here is isolate all the y terms on one side and all the X terms on the other
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then integrate both sides
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once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it


In your problem,
G(y) = \sqrt{1-y^2}&#10;&#10;F(x) = 2x

so all you need to integrate is
\int \frac{1}{\sqrt{1-y^2}} dy = \int 2x dx
5 0
3 years ago
I) 43x + 31y = 98<br> 31x + 43y = 50
Neko [114]

There are no solutions to the given system of equations.

Hope this helps.

4 0
3 years ago
The table shows the location of four cites relative to sea level. Find the city that is closest to sea level.
STatiana [176]
The answer is C.
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3 years ago
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