Step-by-step explanation:
2.9 hours = 174mins
174 mins = 4.9miles
1 miles = 1740/49 mins
8.73 miles = 310.0mins (1dp)
Topic: Rate & Proportions
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Answer:
18
Step-by-step explanation:
From the rectangle, M O = NP
4x - 10 = 2x+4
4x-2x = 4 + 10
2x = 14
x = 14/2
x = 7
SInce MO and NP are the diagonal
Length of diagonal = 4x- 10
Length of diagonal = 4(7) - 10
Length of diagonal = 28 - 10
Length of diagonal = 18
hence the required length is 18
Answer:
The surface area of the second cylinder is equal to 
Step-by-step explanation:
we know that
If two figures are similar then
the ratio of their surfaces areas is equal to the scale factor squared
Let
z-------> the scale factor
x------> the surface area of the smaller cylinder (second cylinder)
y-------> the surface area of the original cylinder (first cylinder)
so

Step 1
Find the scale factor

Step 2
Find the surface area of the second cylinder
we have


substitute and solve for x


Mammals: If the number of Mammal exhibits is 25 and there are 75 total exhibits, the Mammal exhibits are 1/3 of the total exhibits at this Zoo. The ratio for 1/3 is 1:3, which is 25:75 in most complex form. That's 33.3 as a percentage, or 33.3%.
Reptiles: If the number of Reptile exhibits is 15 and there are 75 total exhibits, the reptile exhibits are 1/5 of the total exhibits here. The ratio for 1/5 is 1:5, which is 15:75 fully written out. This as a percentage is 20%.
I'll message you the other half of the answers.
Write the hours as ratio
Carrie : Jerry
2 : 5
Put this ratio in words, we say 'for every two hours Carrie takes to inspect a case, Jerry would need 5 hours'
Carrie has done 30 minutes on a case before taking a break. It means Carrie has 1.5 hours left on the case if she was to continue it.
We need to work out the proportion of the time Jerry would take in comparison to 1.5 hours that Carrie would have taken.
First, we divide 2 by 1.5 ⇒

Then we divide 5 by 4/3 ⇒

hours
Jerry would have taken 3.75 hours to finish the rest of the case