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IRISSAK [1]
3 years ago
11

a car traveled at an average speed of 80 miles per hour for 3 hours and consumes fuel at a rate of 34 miles per gallon

Mathematics
1 answer:
Dimas [21]3 years ago
7 0
As an example I will finish this problem statement for you:

"<span>A car traveled at an average speed of 80 miles per hour for 3 hours and consumes fuel at a rate of 34 miles per gallon.  How many gallons of fuel will the car use on this trip?

Distance traveled is (80 mph)(3 hrs) = 240 miles.

How many gallons of gas did the car consume?

240 miles        1 gallon
-------------- * -------------- =  7.06 gallons (approx)
        1            34 miles</span>
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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
Please help. thanks.
Free_Kalibri [48]
Hello!

You have to find the area of the prism and the pyramid

rectangular prism is lwh

Put in the values you know

15 * 5 * 7 = 525

For a prism you use

\frac{lwh}{3}

Put in the values you know

\frac{15 * 5 *13 }{3}

Multiply

975/3

Divide

325

Add the values you know

325 + 525 = 850

The answer is D)850cm^{3}

Hope this helps!
5 0
3 years ago
Please help!!
ZanzabumX [31]

The two linear equations in two variable is:

12 x + 3 y = 40

7 x - 4 y = 38

(a) For a system of equations in two Variable

a x + by = c

p x + q y = r

It will have unique solution , when

\frac{a}{p}\neq \frac{b}{q}\neq\frac{c}{r}

As, you can see  that in the two equation Provided above

\frac{12}{7}\neq \frac{3}{-4}\neq \frac{40}{38}

So, we can say the system of equation given here has unique solution.

(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.

1. 12 x+3 y=40

2. 7 x-4 y=38

Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),

L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)

                             = 30 -10.20

                               = 19.80≠ R.H.S that is 40.

Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)

                                                  = 17.5 +13.6

                                                  = 31.1≠R HS that is 38

So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of  this system of the equation.


5 0
3 years ago
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