Answer: x= 1 , y = 7
Step-by-step explanation:
y = -6x + 13 ................. equation 1
y = 3x + 4 ................ equation 2
substitute y = 3x + 4 into equation 1 , then we have
3x + 4 = - 6x + 13
collect the like terms , we have
3x + 6x = 13 - 4
9x = 9
x = 1
substitute x = 1 into equation 2 , we have
y = 3(1) + 4
y = 3 + 4
y = 7
Therefore : x = 1 and y = 7
Answer:
x = 10
Step-by-step explanation:
x = 4 + (4x-4) ^ (1/2)
First, we rewrite the expression:
x = 4 + (4x-4) ^ (1/2)
x = 2 (2+ (x-1) ^ (1/2))
x = 4 + 2 (x-1) ^ (1/2)
From here we get a solution for x = 10
To check it we substitute x = 10 in the expression:
10 = 4 + 2 (10-1) ^ (1/2)
10 = 4 + 2 (9) ^ (1/2)
10 = 4 + 2 (3)
10 = 4 + 6
10 = 10
Answer:
The solution is:
x = 10
N/8 = 25/40
40n = 25 * 8
40n = 200
n = 200/40
n = 5
n/20 = 85/100
100n = 85 * 20
100n = 1700
n = 1700/100
n = 17
2/3 = 16/n
2n = 16 * 3
2n = 48
n = 48/2
n = 24
5/6 = 25/n
5n = 25 * 6
5n = 150
n = 150/5
n = 30
There are 27 boys on the playground.
Step-by-step explanation:
No. of Pre-K children = 34
No. of kindergarten children = 29
Total no of children = 29+34 = 63
Ratio of boys to girls = 3:4
Total ratio = 3+4 = 7
Therefore,
boys proportion = 
Total number of boys = 

There are 27 boys on the playground.
Keywords: Proportion, division.
Learn more about proportion at:
#LearnwithBrainly
Answer:
7.5 miles per hour
Step-by-step explanation:
Average Speed = Total Distance/Total Time
= 7.5 miles/hour
Answer from Gauthmath