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:
I think it's 20
Step-by-step explanation:
10x4÷2 because vase times height,the divide by 1/2 which it 2 so answer is 20
Let's multiply out the equation 6x+2 times 6x+2 using the square. Draw a 2 by 2 bow and put the equation across the bottom and verically. Multiply across to get this. 6x times 6x =36x^2 6x times two =12x do it again and get 12x. 2*2=4. That means x would equal 24.
By comparing the perimeters, we can deduce the scaling factor:
The areas scale with the square of the scaling factor, so the new area is
Answer: 38
Step-by-step explanation:
