Answer:
b=2
Step-by-step explanation:
we have
9x+12y=21 -----> equation A
6x+8y=7b ----> equation B
we know that
If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B
Multiply equation B by 1.5 both sides
1.5*[6x+8y[=7b*1.5
9x+12y=10.5b ----> equation C
Compare equation A and equation C
9x+12y=21 -----> equation A
9x+12y=10.5b ----> equation C
For the equations to be equal it must be fulfilled that
21=10.5b
solve for b
b=21/10.5
b=2
9514 1404 393
Answer:
25/24
Step-by-step explanation:
Annie has 1 - 5/8 = 3/8 of the first pie left.
Annie has 1 - 1/3 = 2/3 of the second pie left.
The total fraction of pie left is ...
3/8 + 2/3 = (3·3 +8·2)/(8·3) = 25/24 . . . of a pie left
Answer:
Step-by-step explanation:
<u>Sides are:</u>
<u>There are following number of posts on each of the sides:</u>
- 20 ft side ⇒ 20/5 = 4
- 25 ft side ⇒ 25/5 = 5
- 35 ft side ⇒ 35/5 = 7
<u>Total number:</u>
Answer:
the actual pressure is 31.09
Complete question:
What is the actual pressure when Ali's gauge shows 33.58
Step-by-step explanation:
Given,
Ali's tyre presser gauge show a reading 8% higher than the actual pressure.
Ali's gauge shows 33.58.
Let the actual pressure be x.
According to problem,
{ [If 8% increasing of a no ⇒ The number becomes = 
of the number}
x= 
x=31.09
Therefore, the actual pressure is 31.09
Answer: it will take them 2.22 hours working together.
Step-by-step explanation:
It takes Destiny y 4 hours to file all the daily paperwork. This means that unit rate of Destiny would be
1/4 per hour.
It takes Susan 5 hours to file the same paperwork. This means that unit rate of Susan would be
1/5 per hour.
If they work together, they would work at their own individual rates. This means that their individual rates are additive.
Let t represent the time it will take them if they worked together. Since their combined rate is additive Therefore,
1/4 + 1/5 = 1/t
9/20 = 1/t
t = 20/9 = 2.22 hours
