Find a23 in the sequence -18,-34,-50,-66
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Please help for brainliest, ONLY PART C!!!!(PLS note that brainliest can only be given when there are 2 answers, if ur the only person that responded i cannot give u brainliest, this i s bc u can only b the brainliest answer out of 2, but you cant be the brainliest answer out of only u, if that makes sense]
The sphere at the right fits snugly inside a cube with 18-in. edges. What is the approximate volume of the space between the sphere and cube?
How many times does 193 go into 700
Find the quotient.(6x 2 + 23x + 20) ÷ (5 + 2x) 3x - 4 3x + 4 3x +19
What is the value of y?
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I believe it is but I'm not sure.
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Answer:
- 16/5
Step-by-step explanation:
We have point with coordinates (-6, y) which lies ( or belong) on the graph of the straight line 5y=2x-4
When we replace x= -6 in given equation we get 5y = 2·(-6)-4 => 5y= -12-4 =>
5y= - 16 => y= - 16/5
Good luck!!!
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Answer:
3x - 4y = -10
-4y = -3x - 10
y = (3/4)x + (5/2)
The slope of the perpendicular line will be -4/3.
From (3, -4), go up 4 units, then left 3 units. You will be at (0, 0), so the equation of this line is y = (-4/3)x.
(3/4)x + (5/2) = (-4/3)x
9x + 30 = -16x
25x = -30
x = -6/5, so y = (-4/3)(-6/5) = 24/15 = 8/5
d = √((3 - (-6/5))² + (-4 - (8/5))²)
= √((21/5)² + (-28/5)²)
= (1/5)√(21² + (-28)²)
= (1/5)√(441 + 784)
= (1/5)√1,225
= (1/5)(35)
= 7
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cake tin: 25 cm in diameter
convert mm to cm.
1 cm = 10 mm
600mm * 1cm/10mm = 60cm
500mm * 1cm/10mm = 50cm
Area of oven tray = 60cm * 50cm = 3,000 cm²
Area of cake tin = 3.14 * (25cm/2)² = 3.14 * (12.5cm)² = 3.14 * 156.25cm² = 490.625 cm²
3,000cm² ÷ 490.625cm² = 6.11 or 6 cake tins can fit on the oven tray at one time.
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To get 1/4 of a number you multiply the number by 1/4. Same for any non-percent number. If the number is a percent, say, 23,5%, you first divide it by 100 to get a non-percent, then do the same, that is, multiply it by the number.
Our result is
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Total meals: 23.50 + 40.65 + 30.50 + 15.68 = $110.42
Percentage =
Final answer:
James received an average tip of 16% for the meals he served, calculated by dividing his total tips by his total bill amount and multiplying by 100.
Explanation:
To solve this problem, we first need to find the total amount of bills that James served, which is $23.59 + $40.65 + $30.50 + $15.68 = $110.42. James received a total of $17.67 in tips. The percentage of tips James received can be calculated by dividing the total amount of tips by the total amount of bills he served and then multiplying that result by 100 to get the percentage. So, the calculation would look like this:
($17.67 / $110.42) × 100 = 16.01%
Rounding to the nearest percent, James received an average of 16% tip for serving these meals.
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Answer:
The volume of the box is 33.796 cubic inches
Step-by-step explanation:
Given
See attachment for the base of the prism
Required
The volume of the box
From the attachment, we have:
-- side length of the octagon
The area is then calculated as:
So, we have:
Evaluate the square root
The volume is then calculated as:
The volume of the box is 100 cubic inches.
To find the volume of an octagonal prism, we need to know the area of the base and the height of the prism.
The area of an octagon can be calculated using the following formula:
Area of octagon = 1/2 * apothem * perimeter
where the apothem is the distance from the center of the octagon to one of its sides and the perimeter is the total length of all the sides of the octagon.
In this case, we don't know the apothem or the perimeter of the octagon, so we can't calculate the area of the base using the formula above. However, we can estimate the area of the base by drawing a square inside the octagon and a circle inside the square.
The square will have an area of 16 square inches and the circle will have an area of about 12.5 square inches. Therefore, the area of the octagon is somewhere between 12.5 and 16 square inches.
Since we are estimating the area of the base, we will use the average of 12.5 and 16 square inches, which is 14.25 square inches.
The volume of the box is calculated as follows:
Volume of box = Area of base * Height
Volume of box = 14.25 square inches * 7 inches = 100 cubic inches
Therefore, the volume of the box is 100 cubic inches.
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