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Rashid [163]
2 years ago
14

Yesterday, I put 10 gallons of gas in my car and I paid $30. A couple hours

Mathematics
1 answer:
salantis [7]2 years ago
4 0

Answer:

6 gallons

Step-by-step explanation:

1) $30/10 gallons= $3 per gallon

So...

2) $18/3=<u>6 gallons</u>

<u />

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Can someone pls help me find this is important
Olenka [21]

Answer:

x=90° and y=35°

Step-by-step explanation:

to get x and y first you must find the middle angles based on the information you have so:

35+90+n=180° solve for n to get what the middle angles are (since they are vertical angles they are equal) so the middle angles are both 55 degrees

and then 180-x=that angle that is also on the line with x so we'll call it k

so k+55+y=180°

we can see that y equals 35* because I noticed that those are parallel lines on the outside of the triangle so 35* and y angles are congruent and y =35°

now 35+55+k=180°

solve for the angle next to x which we called k and it is 90°

so x=90° and y=35°

after all this math I realized that if they are parallel lines then we can just use that to figure it out so use the properties to find out that x=90° and y=35°

7 0
2 years ago
Read 2 more answers
Hi! What is 47 x 560? Please help
eduard

Answer:

26320

Step-by-step explanation:

3 0
2 years ago
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What is the answer for <br> x^2-5x+6=0?
faltersainse [42]
The answer for that is
x= 3,2
5 0
3 years ago
A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.36/ft2, the material fo
blagie [28]

Answer:

  • length: 2 ft
  • width: 2 ft
  • height: 10 ft

Step-by-step explanation:

The total cost of the top and bottom is $0.36 + 0.14 = $0.50 per square foot.

The total cost of a pair of opposite sides is $0.05 +0.05 = $0.10 per square foot.

A minimum-cost box will have the cost of any pair of opposite sides be the same. Here, that means the box will have a side area that is 5 times the area of the top or bottom.

Since the base is square, that means the box is the shape of 5 cubes stacked one on the other. Each of those would be 8 ft³, so would have edge dimensions of ∛8 = 2 feet. The height is 5 times that, or 10 ft.

The box is 2 feet square by 10 feet high:

  • length: 2 ft
  • width: 2 ft
  • height: 10 ft

_____

If you feel the need to write an equation, you can let x represent the edge length of the base. Then the cost of the top and bottom will be ...

  top&bottom cost = 0.50·x²

The height of the box is 40/x², so the cost of the four sides will be ...

  side cost = (0.05)(4x)(40/x²) = 8/x

This is minimized when the derivative of the sum of these costs is zero:

  cost = top&bottom cost + side cost

  cost = 0.50x² + 8/x

  d(cost)/dx = 1.00x -8/x² = 0

Multiplying by x², we get ...

  x³ -8 = 0

  x = ∛8 = 2 . . . . . . as above

  height = 40/x² = 40/4 = 10 . . . . . as above

6 0
3 years ago
There are 8 rows and 8 columns, or 64 squares
lawyer [7]

Complete Question:

There are 8 rows and 8 columns, or 64 squares on a chessboard.

Suppose you place 1 penny on Row 1 Column A,

2 pennies on Row 1 Column B,

4 pennies on Row 1 Column C, and so on …

Determine the number of pennies in Row 1

Determine the number of pennies on the entire chessboard?

Answer:

255 in the first row

18,446,744,073,709,551,615 in the entire board

Step-by-step explanation:

Given

Rows = 8

Columns = 8

Solving (a): Number of pennies in first row

The question is an illustration of geometric sequence which follows

1,2,4....

Where

a =1 --- The first term

Calculate the common ratio, r

r = \frac{T_2}{T_1} = \frac{4}{2} = 2

The number of pennies in the first row will be calculated using sum of n terms of a GP.

S_n = \frac{a(r^n - 1)}{n - 1}

Since, the first row has 8 columns, then

n = 8

Substitute 8 for n, 2 for r and 1 for a in S_n = \frac{a(r^n - 1)}{r - 1}

S_8 = \frac{1 * (2^8 - 1)}{2 - 1}

S_8 = \frac{1 * (256 - 1)}{1}

S_8 = \frac{1 * 255}{1}

S_8 = 255

Solving (b): The entire board has 64 cells.

So:

n = 64

Substitute 64 for n, 2 for r and 1 for a in S_n = \frac{a(r^n - 1)}{r - 1}

S_{64} = \frac{1 * (2^{64} - 1)}{2 -1}

S_{64} = \frac{(2^{64} - 1)}{1}

S_{64} = \frac{(18,446,744,073,709,551,616 - 1)}{1}

S_{64} = \frac{18,446,744,073,709,551,615}{1}

S_{64} = 18,446,744,073,709,551,615

5 0
2 years ago
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