Answer:
21:50
Step-by-step explanation:
We need to find the ratio of 420 m to 1 km.
We know that,
1 km = 1000 m
So,
The ratio becomes,

So, the required ratio is 21:50.
Answer:
3%
Step-by-step explanation:
105 = 700 x r x 5
r = 105 / ( 700 × 5 ) = 0.03
r = 0.03
0.03 in percent is 3%
Answer:
m<4 = 52°
m<BFD = 98°
Step-by-step explanation:
m<1 = (3x)°
m<2 = (5x - 7)°
m<3 = (4x + 15)°
m<AFD = 128°
✔️Find m<4:
m<4 = 180° - m<AFD (angles on a straight line)
Substitute
m<4 = 180° - 128°
m<4 = 52°
✔️m<BFD = m<2 + m<3
Substitute
m<BFD = (5x - 7)° + (4x + 15)°
We need to find the value of x.
Create an equation to find x.
m<1 + m<2 + m<3 = m<AFD (angle addition postulate)
Substitute
3x + 5x - 7 + 4x + 15 = 128°
Add like terms and solve for x
12x + 8 = 128
12x + 8 - 8 = 128 - 8
12x = 120
12x/12 = 120/12
x = 10
m<BFD = (5x - 7)° + (4x + 15)°
Plug in the value of x
m<BFD = 5(10) - 7 + 4(10) + 15
m<BFD = 50 - 7 + 40 + 15
m<BFD = 98°
Answer:
last option from the left
Step-by-step explanation:
To find the price of one water bottle, we can calculate 6 / 24 because 24 bottles cost $6. Now, to find the price of 10 bottles, we can multiply the price of 1 bottle by 10 so the answer is 6 / 24 * 10.
To find the percent of the total that George collected, you need to create a ratio with the number of pounds George collected compared to the number of total pounds that were collected.
You will then divide these to find the part (decimal) that George collected. You can convert the decimal to a percent.
3 1/4+6 1/3+11 1/6 = 20 3/4 total pounds of cans.
11 1/6 George
20 3/4 total
11 1/6÷20 3/4 = 0.538
0.538 is approximately 54%.
George collected proximately 54% of the total amount of cans.