Answer:
Step-by-step explanation:
if A = 1 2 b then it comes to h
Answer:
t = 1
Step-by-step explanation:
3 (8 - 3t) = 5 (2 + t)
24 - 9t = 10 + 5t
- 9t - 5t = 10 - 24
- 14t = - 14
- t = - 14/14
- t = - 1
t = 1
Answer:
Step-by-step explanation:
- Total number of plants = 15
- Total cost = $96
- Cost of pink flowering plant = $8
- Cost of purple flowering plant = $5
<u>Let x and y be the number of plants bought. Then we have equations:</u>
- 8x + 5y = 96
- x + y = 15 ⇒ y = 15 - x
<u>Substituting y in the first equation:</u>
- 8x + 5y = 96
- 8x + 5(15 - x) = 96
- 8x + 75 - 5x = 96
- 3x = 96 - 75
- 3x = 21
- x = 7
Correct option is the second one
Answer:
35
Step-by-step explanation:
10 times 1/10 equals 1, so you don't need that since you are multiplying, but if you do, you end up with 35 x 1, which is still 35
35 is your answer
Hope this helps!
Answer:
(4,11/2)
Step-by-step explanation:
5x-2y=9
12x-8y=4
A quick look will tell us that neither the x- nor the y- coefficient is the same in both equations, so combining the two by addition or subtraction. We can see that 2 is a multiple of 8, since 2 x 4 = 8. We should multiply the first equation by 4.
4(5x-2y=9)
Now we need to decide if we should add or subtract the equations.
20x-8y=36
12x-8y=4
Since we need to have a -8 and a +8 to eliminate the variables, we should subtract them. Change all the signs of the second equation and combine.
20x-8y=36
-12x-8y=4
----------------
8x=32
Divide both sides by 8 to get the x-value:
![\frac{8x}{8} = \frac{32}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B8x%7D%7B8%7D%20%3D%20%5Cfrac%7B32%7D%7B8%7D)
x=4
Now that we have our x-value, we need to plug in the y-value.
5x-2y=9
5(4)-2y=9
20-2y=9
-2y=-11
y=11/2
So our solution is (4,11/2)
Let's check our work.
5x-2y=9
5(4)-2(11/2)=9
20-22/2=9
20-11=9
9=9
12x-8y=4
12(4)-8(11/2)=4
48-88/2=4
48-44=4
4=4
Our solution is correct.