Answer: The second choice is correct: slope is 3/4, y-intercept is 1
Step-by-step explanation: The y-intercept is where the line crosses the y-axis.
Look for places where the line intersects the grid at "cross-points" like (-4,-2) (0,1) and (4,4)
The slope is rise/run.
The difference in y-values is the rise. 4-1=3 1-(-2) is 3.
The rise is 3.
The difference in x-values is the run. 4-0=4 0-(-4) = 4
The run is 4
Rise/run = 3/4 That is the slope.
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 $12.50
Okay i answered by comment but now i can make an official answer here:
a) i got 5,828.6 grams / about 13lb
b) i got 273,391.48$
hope this helps!
The percent equation is
n=2.8%×45 or n=0.028×45. where n is the unknown number.
the proportion would be
n/45=2.8/100
the answer is 1.26
