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kari74 [83]
3 years ago
12

Number of Gallons 2 4 x

Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer:

The value of x is 8 gallon.

Step-by-step explanation:

Given a table  showing approximate conversion from gallons to liters.

Number of Gallons    2      4      x

Number of Liters      7.6  15.2  30.4

We are required to find value of x,

Given : 2 gallon is equal to 7.6 liters.

⇒  1 liter is equal to \frac{2}{7.6}=0.263 liters. ........(1)

given, x gallon equal to 30.4 liters.

⇒ 1 liter is equal to \frac{x}{30.4} liters.  .........(2)

from (1) and (2),

⇒  0.263=\frac{x}{30.4}

Solving for x, we get,

⇒  0.263 \times 30.4=x

⇒  7.9952=x

Approximately x = 8

Thus, the value of x is 8 gallon.

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Grant thinks he has reached the point where he has maximized his profit. However, because this can be tricky to determine, he is
Mashcka [7]

Answer:c

Step-by-step explanation:

Profit maximization happens with marginal revenue is equal to marginal cost, so if Grant's assumption was right before selling the extra unit, when he actually sells the extra unit, this will increase his revenue

That's why the answer is c

Marginal revenue will exceed marginal cost

6 0
3 years ago
Find the slope intercept <br>(9,5),(7,-11)<br>y=​
grin007 [14]

Answer:

y=8x-67

Step-by-step explanation:

So the question is what is the equation for the following two coordinate points?

Well to start off what is the formula? The formula is called the linear equation. Which is y=mx+b. What does these letters or "variables" mean or represent?! Welp, m stands for the slope, which is "Δy over Δx." Some people call say "the change of y over x." I call it the rise over run. So it is saying y over x. The b in the linear equation is the y-intercept. The y-intercept is when the line crosses the y-axis.

With that being said, let's find the slope. But how? Well with the Δy over Δx. The formula is y₂-y₁ over x₂-x₁. With the two coordinate points we can label them.

y₂=5

y₁=(-11)

x₂=9

x₁= 7

Now let set it up into the equation of y over x

Slope =  <u> 5- (-11) </u> = <u> 5 + 11  </u> = <u>  16 </u> = 8

                  9-7         9-7          2

So we now have the slope! Which is 8! So put that into the linear equation!

y=8x+b

Next, we need to find b, the y-intercept! How do we do that well, we can figure it out by one of the coordinate points! Let use the (7, -11) point for example! Remember, x= 7 and y= (-11)

(-11) = 8(7) + b

(-11) = 56 + b

<u>-56   -56</u>

-67 =  b

We now have b, which is negative 67! So we need to put all the information we have found into the linear equation!

y=8x-67

6 0
3 years ago
What is the surface area of a square pyramid with a slant height of 6cm and the length of one side of the square base is 5cm
erica [24]

Answer:

S = 85cm^2

Step-by-step explanation:

The surface area of a square pyramid is given by the following formula:

S=2hb+b^2

where it has taken into account the sum of the area of a square and four triangles:

4(\frac{hb}{2})+b*b=2bh+b^2

h: slant height = 6cm

b: base = 5cm

By replacing in the formula you obtain:

S=2(5cm)(6cm)+(5cm)^2=85cm^2

hence, the surface area is 85cm^2

4 0
3 years ago
Consider the given functions. Select the expression that will produce h(x). A. f(x) + f(x) B. f(x) − g(x) C. f(x) + g(x) D. g(x)
Liula [17]

Answer:

here is your answer

Step-by-step explanation:

here is your answer

3 0
3 years ago
Multiply the following and write your answer In scientific notation.. 3.62 × 10^-5 · 9,400.
svet-max [94.6K]

Answer:

3.4028 x 10^-1

Step-by-step explanation:

First you make the 9400 into scientific notation:

9.4x10^3

Then you combine like terms

(3.62x9.4)(10^-5x10^3)

Finally you simplify

34.028x10^-2

3.4028x10^-1


6 0
3 years ago
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