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Dmitry_Shevchenko [17]
4 years ago
11

Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Lou​'s car had 5.9

gallons in the 13​-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost ​$3.80 per gallon. How much did Lou spend on​ gas?
Mathematics
1 answer:
max2010maxim [7]4 years ago
5 0

Answer: $26.98


Step-by-step explanation:

1. You have the following information given in the problem above:

 - Lou filled the tank with gas that cost ​$3.80 per gallon.

-   Lou​'s car had 5.9 gallons in the 13​-gallon tank.

2. Therefore, if he filled the tank, you can calculate the total amount of money Lou spent, by subtracting 13 gallons and 5.9 gallons and multiplying the result by ​$3.80.

3. Then, the result is:

total=(13-5.9)(3.80)\\total=(7.1)(3.80)\\total=26.98

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100 points
Liula [17]

Answer:

volume = 140 cubic units

area = 183.3 square units

Step-by-step explanation:

I am going to assume we are dealing with a pyramid with a rectangular base. The rectangular base has length 7 units, width 5 units, and height 12 units.

Let's do the volume first since it's simpler.

Volume:

volume of pyramid = (1/3) * (area of base) * height

volume = (1/3) * 7 units * 5 units * 12 units

volume = 140 cubic units

Now we deal with the surface area.

The total surface area of a rectangular pyramid is the sum of the lateral area and the area of the base. The area of the base is the area of a rectangle. The lateral area is the sum of the areas of the 4 triangular sides. Each two opposite sides are congruent. For the base, we have the length and width of the rectangular base, so we can find the area easily.

For the 4 triangular sides, we need to find the the height of the triangles. Since each pair of opposite faces is congruent, we have two triangles we need to find the heights for. I'll call the heights "p" and "q". We use the Pythagorean theorem to find the heights of the triangular faces.

a^2 + b^2 = c^2

(3.5)^2 + (12)^2 = p^2

p^2 = 156.25

p = 12.5

(2.5)^2 + (12)^2 = q^2

q^2 = 150.25

q = 12.25765

Area of triangle = (1/2) * base * height

For two of the triangles, the base is 5 and the height is 12.5.

For the other two of the triangles, the base is 7 and the height is 12.25765.

total surface area = area of base + 2(area of triangle with base 5) + 2(area of triangle with base 7)

A = LW + 2(1/2)(base)(height) + 2(1/2)(base)(height)

A = 7(5) + 2(1/2)(5)(12.5) + 2(1/2)(7)(12.25765)

A = 183.3 square units

8 0
3 years ago
Read 2 more answers
PLZ HELP FAST!!!!! Which strategy was primarily used in this lesson to find an approximate value for an irrational number?
kolezko [41]

Answer: find a pattern

Step-by-step explanation:

Did the same thing and got it right so that’s the answer

6 0
3 years ago
Read 2 more answers
sasha has a riddle: There are two numbers. The sum of the first number and twice the second number is 14.When the second number
N76 [4]

Answer: <u><em>The first no. is 6 and the second no. is 4.</em></u>

Step-by-step explanation: Let the 2 no. s be x and y respectively.

→x+ 2y = 14

<em>→x-y = 2 </em>

<em>∴ x = 2+y</em>

<em>y = y</em>

∴ x+2y=14

= 2+y+2y=14

3y=14-2

3y=12 , y = 12/3=4

∴y = 4

→x = 2+y

= 2+4=6

∴x=6

<u><em>Thus, the first no. is 6 and the second no. is 4.</em></u>

5 0
3 years ago
Find a matrix representation of the transformation L(x, y) = (3x + 4y, x − 2y).
mario62 [17]

Answer:

\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}3&1\\4&-2\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

Step-by-step explanation:

The general matrix representation for this transformation would be:

\left[\begin{array}{cc}x&y\end{array}\right] * A = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

As the matrix A should have the same amount of rows as columns in the firs matrix and the same amount of columns as the result matrix it should be a 2x2 matrix.

\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

Solving the matrix product you have that the members of the result matrix are:

3x+4y = a*x + c*y

x - 2y = b*x + d*y

So the matrix A should be:

\left[\begin{array}{cc}3&1\\4&-2\end{array}\right]

8 0
3 years ago
Higher Order Thinking Mr. Kent teaches
Tresset [83]

Answer:

6 hours and 20 minutes

Step-by-step explanation:

7*50=350 so 350+30=380 then 380/60= 6 hours and 20 minutes

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3 years ago
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