Answer:
The two numbers are 3 and 5
Step-by-step explanation:
Multiply top equation by 4 to cancel out the Ys
Since X =5, we can plug it into either of the top two equations to find out the value of Y
To double check
9514 1404 393
Answer:
- 2 6/11 days
- 1 2/3 hours
Step-by-step explanation:
1. Add the rates in terms of houses per day.
1/4 + 1/7 = (7+4)/28 = 11/28
Then the time required in terms of days per house is the reciprocal of this:
28/11 = 2 6/11 . . . . days to paint a house, working together
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2. Each hour, the vehicles separate by 55 -40 = 15 miles. Then the time required for a separation of 25 miles is ...
time = distance/speed = (25 mi)/(15 mi/h_ = 5/3 h = 1 2/3 h
The vehicles will be separated by 25 miles after 1 2/3 hours.
3) Answer: 8:9 (Defense:Offense)
16 and 18 need to be simplified. They're both divisible by 2, getting 8:9, and can't be simplified any more or they won't be whole numbers.
4) Answer: 1:3 (Hit:Bat times)
5 and 15 are divisible by 3, making 1 and 3.
5) Answer: 1:65 (Hours:Miles)
3 and 195 is divisible by 3. (195 is divisible by 3 because 1+9+5=15, getting the sum of numbers will get a smaller number, and if that number, 15 in this case, is divisible by 3, then the larger number is divisible by 3. 195/3=65, so 1:65
6) Answer: 1:3 (Potatoes:Servings)
8 and 24 is divisible by 8, getting 1 and 3.
Answer:
- Define your variable and write your equation: 36 + b + (3b-28) = 180°.
- measure of the second angle: 43°.
- measure of the third angle: 101°
Step-by-step explanation:
a = 36
c = 3b - 28
a + b + c = 180°
a = measure of the first angle
b = measure of the second angle
c = measure of the third angle
then:
1) 36 + b + (3b-28) = 180 ⇒ )Define your variable. Write your equation and solve)
b + 3b + 36 - 28 = 180
4b + 8 = 180
4b = 180 - 8
4b = 172
b = 172/4
2) b = 43° ⇒ measure of the second angle
c = 3b - 28
c = 3*43 - 28
c = 129 - 28
3) c = 101° ⇒ measure of the third angle
Check:
36° + 43° + 101° = 180°
