Answer:
x=11
Step-by-step explanation:
Since the lines in the middle are parallel, we know that both sides are proportional to each other.
6:48 can be simplified to 1:8
Since we know the left side ratio is 1:8, we need to match the right side with the same ratio
We can multiply the ratio by 5 to match 5:3x+7
5:40
5:3x+7
Now we can set up the equation: 40=3x+7
Subtract 7 from both sides
3x=33
x=11
Answer:
(64+320π) cm^3
Step-by-step explanation:
The volume of a cube is the length*width*height, so
the volume of this cube is 4*4*4=64 cm^3
The volume of a cylinder is the base*height
The base of a cylinder is the area of a circle, which is π*the radius of the circle squared
The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.
The area of the base of the cylinder is π8^2=64π
Now, multiply the base by the height, 5
64π*5=320πcm^3
We now have the volume of the cube and the volume of the cylinder, so now we just add them:
(64+320π) cm^3
Answer:
2400
2640
360
Step-by-step explanation:
the retailer has to sell it for the same price as the dealer.
so, both mark it for 2400 sale price.
if a customer buys it at the retailer, the retailer makes the 15% discount he got from the dealer as profit.
2400 = 100%
1% = 2400/100 = 24
15% = 24×15 = 360
the retailer makes this profit no matter what other fees or taxes are added.
the final price is then including 10% VAT
2400 = 100%
10% = 24×10 = 240
final price = SP + VAT = 2400 + 240 = 2640
Answer:
Sophie has 12 feet more
Step-by-step explanation:
Answer:
20,365.7 seconds
Step-by-step explanation:
First, we need to know how to convert yards to miles, as the question is in miles. We know that 1 mile is equivalent to 1760 yards. So we have:
1 mi = 1760 yards
If we multiply both sides by 81:
81 mi = 142,560 yards
And we know that the sprinter needs 8 second to run 56 yards:
8 s = 56 yards
If we divide both sides by 56 we get the time he needs for 1 yard:
8/56 s = 56/56 yards
1/7 s = 1 yard
So, takes him 1/7 seconds to run one yard. At this rate he runs 142,560 yards in:
(1/7) * 142,560 = 20,365.7
So, he needs 20,365.7 seconds to run 81 miles (142,560 yards)
