The quotient is 56, and there is a remainder of 2.
The quotient of 1,458 divided by 26 is 56. In long division, you would set up the problem as follows:
56
__________
26 | 1,458
You start by asking how many times 26 can fit into 145 (the first two digits of 1,458). The answer is 5 (5 times 26 equals 130).
You write the 5 above the line and subtract 130 from 145, leaving you with 15.
Then, you bring down the next digit, which is 8, making it 158. You repeat the process, finding that 26 goes into 158 six times (6 times 26 equals 156).
Write the 6 above the line, and you're left with a remainder of 2. So, the quotient is 56, and there is a remainder of 2.
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1458/26 = 56.0769230769
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Amy will pay $3.00 for the tiles for her bathroom floor.
A fraction represents a part of a whole.
The scale is 1/2 inch = 1 foot.
Length of bathroom = 3 inches × (1 foot / 24 inches)
= 1/8 feet
Width of bathroom = inches(1 foot / 24 inches)
= 7/24 feet
We need to calculate the total area of the bathroom floor in square feet:
Area of bathroom floor = (length) x (width)
= (1/8 feet) x (7/24 feet)
= 7/192 square feet
Since each tile measures 1/2 foot on each side, the area of each tile is:
Area of one tile = (1/2 feet) x (1/2 feet) = 1/4 square feet
Total area of tiles needed = (area of bathroom floor) / (area of one tile)
= (7/192 square feet) / (1/4 square feet)
= 7/48 tiles
Amy will need to purchase 1 tile at a cost of $3.00 per tile, so the total cost of the tiles for her bathroom floor will be:
Total cost = (number of tiles) x (cost per tile)
= 1 tile x $3.00/tile = $3.00
Hence, Amy will pay $3.00 for the tiles for her bathroom floor.
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Answer:
$78.00
Step-by-step explanation:
First, you would have to figure out how many tiles she would need. 3 inches is equal to 6 feet according to the scale part, and then it would be 12 tiles because it is half a foot for the tiles. Then 3 1/2 would be 7 feet, and then 14 tiles. 12 plus 14 equals 26, and 26 times $3.00 is $78.00
Answer:
10 =x
Step-by-step explanation:
Let h(x) = -2x - 5. If h(x) = -25
-25 = -2x-5
Solve for x
Add 5 to each side.
-25+5 = -2x-5+5
-20 = -2x
Divide by -2
-20/-2 = -2x/-2
10 =x
Answer:
12th term = 34.5
Step-by-step explanation:
l = a + (n-1)*d
d = 1.5
70th term = 121.5
a + 69 * 1.5 = 121.5
a + 103.5 = 121.5
a = 121.5 - 103.5
a = 18
12 th term = 18 + 11 * 1.5 = 18 + 16.5 = 34.5
Answer:
= 34.5
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given = 121.5, then
a₁ + (69 × 1.5) = 121.5
a₁ + 103.5 = 121.5 ( subtract 103.5 from both sides )
a₁ = 18
Hence
= 18 + (11 × 1.5) = 18 + 16.5 = 34.5