Answer:
one gadget costs $15.80
Step-by-step explanation:
Let w = cost of one widget
Let g = cost of one gadget
Given:
- Five widgets and three gadgets cost $109. 90
⇒ 5w + 3g = 109.9
Given:
- One widget and four gadgets cost $75. 70
⇒ w + 4g = 75.7
Rewrite w + 4g = 75.7 to make w the subject:
⇒ w = 75.7 - 4g
Substitute into 5w + 3g = 109.9 and solve for g:
⇒ 5(75.7 - 4g) + 3g = 109.9
⇒ 378.5 - 20g + 3g = 109.9
⇒ 378.5 - 109.9 = 20g - 3g
⇒ 268.6 = 17g
⇒ g = 15.8
Therefore, one gadget costs $15.80
To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:
⇒ w = 75.7 - 4(15.8)
⇒ w = 75.7 - 63.2
⇒ w = 12.5
Therefore, one widget costs $12.50
Answer:
30/100
Step-by-step explanation:
This should be relatively easy since if the denominator is 100 then x/100 has to = 3/10
Since the denominator 10 has to be 100, you multiply by 10.
3 x 10 = 30
Answer:
Step-by-step explanation:
6 minutes
Answer:
the correct answer is (20,-12)
Step-by-step explanation:
Answer: No Solution
Step-by-step explanation:
y=2x+1 and 2x-y=3
Substitute y=2x+1 into 2x-y=3
So you will have: 2x-2x+1=3
Then,
2x-2x=0
0+1=3
1=3
1 doesn't equal 3 so there is no solution.
