Step-by-step explanation:
2 1/3
=2*3+1/3
=7/3
Answer:
16 ribbons
Step-by-step explanation:
Given the length of the chain as 10
and there is a ribbon tied to it every
, we can take the total length of the chain and divide by the measure of
:
![10\frac{2}{3}=\frac{32}{3}](https://tex.z-dn.net/?f=10%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B32%7D%7B3%7D)
![\frac{\frac{32}{3}}{\frac{2}{3}}=\frac{32}{3}*\frac{3}{2}=\frac{96}{6}=16](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B32%7D%7B3%7D%7D%7B%5Cfrac%7B2%7D%7B3%7D%7D%3D%5Cfrac%7B32%7D%7B3%7D%2A%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7B96%7D%7B6%7D%3D16)
When dividing with fractions, we use the rule of 'keep/change/flip' to keep the first fractions, change the operation to multiplication and flip the second fraction.
Answer:
76 degrees
Step-by-step explanation:
The total of the three angles in a triangle should equal 180 degrees. So to find the third angle, subtract the two given angles from 180
180 - 87 = 93
93 - 17 = 76
The third angle is 76 degrees because then all angles will add up to 180
Answer:
The ages of the four siblings are: 5, 7, 9 and 11 years old.
Step-by-step explanation:
The computation of the age of the four siblings is shown below:
Given that
n = 4
a1 =? a2 =? a3 =? a4 =?
a4 = a1 + 6 years
S4 = 32
Based on the above information
As we know that
Sn = (a1 + a4) × n ÷ 2
S4 = (a1 + a4) × 4 ÷ 2
32 = (a1 + a1 +6) × 2
16 = 2a1 + 6
2a1 = 10
a1 = 10 ÷ 2
= 5
So, a4 = a1 +6
= 5 +6
= 11
a4 = a1 + (4-1) × d
11 = 5 + 3 × d
d = 6 ÷ 3
= 2
So,
a2 = a1 + d
= 5 + 2
= 7
a3 = a2 + d
= 7 + 2
= 9
Hence, The ages of the four siblings are: 5, 7, 9 and 11 years old.