Answer:
1 5/6
Step-by-step explanation:
We first convert each mixed number to an improper fraction.
To change -6 7/8, we will ignore the negative at first. Multiply the whole number by the denominator:
6(8) = 48
Add the numerator:
48+7 = 55
Putting the negative back in, we have -55/8.
To change -3 3/4, ignore the negative at first. Multiply the whole number by the denominator:
3(4) = 12
Add the numerator:
12+3 = 15
Putting the negative back in, we have -15/4.
This gives us
-55/8 ÷ -15/4
To divide fractions, flip the second one and multiply:
-55/8 × -4/15
Multiply straight across:
(-55×-4)/(8×15) = 220/120
Simplifying this, we know that both 220 and 120 are divisible by 10; this gives us
22/12
Both 22 and 12 are even, so they are both divisible by 2. This gives us
11/6
6 will go into 11 one time, with 5 remaining; this gives us
1 5/6
Answer: 770
Step-by-step explanation: To round 768 to the nearest 10, we first find the digit in the rounding place which in this case is the 6 in the tens place.
Next, we look at the digit to the right of the 6 which is 8. According to the rules of rounding, since the digit to the right of the rounding place is greater than or equal to 5, we round up.
So in this problem, since 8 is greater than or equal to 5, we round down. This means that the digit in the rounding place which is 6 moves up to 7 and we add a 0 to all the digits that are right of 7.
Therefore, 768 rounded to the nearest 10 is 770.
Answer:
Step-by-step explanation:
The volume of the composite shape is given by:
Volume of cylinder +volume of two spheres.
The volume of cylinder
We substitute r=5mm and h=10mm
The volume cylinder becomes
The volume of the two hemispheres
We substitute the radius to get:
We add the two volumes to get:
Answer:
the answer is c
Step-by-step explanation:
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