Step-by-step explanation:
5. 6x-8=9x+4
6x - 9x = 4+8
-3x = 12
x = -4
check, 6(-4) - 8=9(-4) + 4
-24-8 = -36+4
-32 = -32
6. 5a - 10 = 9a - 6
5a-9a = -6+10
-4a = 4
a = -1
check, 5(-1) -10 = 9(-1) -6
-5-10 = -9-6
-15 = -15
7. 8m-24 = 9-3m
8m + 3m = 9+24
11m = 33
m = 3
check, 8(3)-24 = 9- 3(3)
24-24 = 9-9
0 = 0
8. 10- 3z = z + 30
10-30 = z +3z
-20=4z
-5 = z
check, 10 - 3(-5) = (-5)+30
10+15 = 25
25=25
9. 3k - 14 = 10 +5k
3k - 5k = 10+14
-2k = 24
k = -12
check, 3(-12)-14 = 10+5(-12)
-36-14 = 10-60
-50 = -50
10. 6c + 8 = 2c -16
6c - 2c = -16-8
4c = -24
c = -6
check, 6(-6)+8 = 2(-6) - 16
-36 + 8 = -12 - 16
-28 = -28
Answer:
k = 0.28
Step-by-step explanation:
The price of peaches at Al's supermarket can be determined by the equation P = 0.28n ........... (1)
where P is the price and n is the number of pounds of peaches.
Now, it is clear that the price of peaches is proportional to the number of pounds of peaches.
So, we can write,
P ∝ n
⇒ P = kn ............. (2) where k is the constant which we have to multiply to covert from proportionality to equation form.
Now, comparing equations (1) and (2) we get k = 0.28 which is the value of the constant of proportionality. (Answer)
Answer:
Tyler currently does 40 squats
Step-by-step explanation:
Tyler does squats and pushups.
<u>Currently:</u>
Number of pushups = 25
Number of squats = x
Total number = 25 + x
<u>After increase:</u>
Number of pishups 
Number of squats 
Total number 
If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now, thus
For functions don’t repeat the x (x,y)
It is B
The length of the dilated line segment is 80 units.
<h3>What is
dilation?</h3>
Dilation is the increase or decrease in the size of a figure or object.
The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).
The distance between points (8, 32) and (56, 96) is:
The length of the dilated line segment is 80 units.
Find out more on dilation at: brainly.com/question/10253650
