Answer:
x=2.5
Step-by-step explanation:
5x<12 1. /5 on both sides
x= 2.5
Answer:
no
Step-by-step explanation:
a^2+b^2=c^2?
12^2+34^2=45^2?
1300≠2025
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:
Amount of fencing: 32 feet
Amount of soil: 63 square feet
Step-by-step explanation:
Fencing: In a rectangle, the opposite side is the same length. So we do:
9+7+9+7 = <u>32 feet</u>
Soil: The soil is the area. Area is equal to length times width. Length is 9 and width is 7, so we do:
9 x 7 = <u>63 feet squared</u>
