Answer: 1
Step-by-step explanation:
85/7=12 with a remainder of 1
Answer:
10
Step-by-step explanation:
Pabp = AB +BP +AP
Papc = AP +PC +CA
So the sum of perimeters of the two smaller triangles is ...
Pabp +Papc = AB +BP +AP + AP +PC +CA
= (AB +BP +PC +CA) +2AP
= Pabc +2AP
Filling in numbers, we have ...
30 +35 = 45 +2AP
20 = 2AP . . . . subtract 45
10 = AP . . . . . . divide by 2
The length of AP is 10 units.
a. The number of twix bars is 21
b. The number of jolly rangers is 11.
Julianna has thirty two pieces of candy and has four twix bars for every two jolly rangers, we need to find the ratio of candy bars.
<h3>What is the ratio of candy bars?</h3>
Let
- x = number of twix bars and
- y = number of jolly rangers.
Since for every four twix bars, she has two pieces of jolly rangers, the ratio of candy bars is
x:y = 4:2 = 2:1
<h3>a. Number of twix bars</h3>
The number of twix bars is 21
The number of twix bars x = ratio of twix bars/total ratio × total number of candy bars
So, x = 2/(1 + 2) × 32
= 2/3 × 32
= 64/3
= 21.33
≅ 21
So, the number of twix bars is 21
<h3>b. Number of jolly rangers</h3>
The number of jolly rangers is 11.
The number of jolly rangers y = ratio of jolly rangers/total ratio × total number of candy bars
So, y = 1/(1 + 2) × 32
= 1/3 × 32
= 32/3
= 10.66
≅ 11
So, the number of jolly rangers is 11.
Learn more about ratio here:
brainly.com/question/25927869
#SPJ1
Answer: <em>230 - the total amount of sweets.</em>
Step-by-step explanation:
<em>Adrian received 8 pieces of sweets;</em>
<em>Ben got 5 pieces of sweets;</em>
<em>Charlie received 10 pieces of sweets.</em>
<em>The sum of all parts:</em>
8 + 5 + 10 = 23
<em>Let's calculate how many parts Charlie got more than Adrian:</em>
10 - 8 = 2
<em>It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.</em>
<em>20 : 2 = 10</em>
<em>Now we can calculate the total amount of sweets:</em>
<em>10 × 23 = 230</em>
<em />
<u>Answer:</u>
- 3120 litres of fuel are required to fill the tank.
<u>Step-by-step explanation:</u>
<u>We know that:</u>
- Quarter of tank = 1/4 x tank
- Volume = 1.6 x 2 x 1.3
- 1 cubic metre = 1000 litres
<u>Work:</u>
- Volume = 2 x 1.3 x 1.6
- => 4.16 m³
- => 4.16 x 1000
- => 4160
- => Quarter of tank = 1/4 x tank
- => 1/4 x 4160
- => 1040 L
- => 4160 - 1040 = Required fuel (In litres)
- => 3120 = Required fuel (In litres)
Hence, <u>3120 litres of fuel are required to fill the tank.</u>
Hoped this helped.
