Brian has 39 cards and Wesley has 48 cards
Step-by-step explanation:
Let w be the number of cards Wesley has
and
b be the number of cards Brian has
Then
![w+b = 87\ \ \ \ Eqn\ 1\\w = 2b-30\ \ \ Eqn\ 2](https://tex.z-dn.net/?f=w%2Bb%20%3D%2087%5C%20%5C%20%5C%20%5C%20Eqn%5C%201%5C%5Cw%20%3D%202b-30%5C%20%5C%20%5C%20Eqn%5C%202)
Putting w = 2b-30 in equation 1
![2b-30+b = 87\\3b = 87+30\\3b = 117](https://tex.z-dn.net/?f=2b-30%2Bb%20%3D%2087%5C%5C3b%20%3D%2087%2B30%5C%5C3b%20%3D%20117)
Dividing both sides by 3
![\frac{3b}{3} = \frac{117}{3}\\b = 39](https://tex.z-dn.net/?f=%5Cfrac%7B3b%7D%7B3%7D%20%3D%20%5Cfrac%7B117%7D%7B3%7D%5C%5Cb%20%3D%2039)
Putting b=39 in equation 2
![w = 2(39)-30\\w = 78-30\\w = 48](https://tex.z-dn.net/?f=w%20%3D%202%2839%29-30%5C%5Cw%20%3D%2078-30%5C%5Cw%20%3D%2048)
Hence,
Brian has 39 cards and Wesley has 48 cards
Keywords: Linear equations, variables
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Answer:
X=13/3
Step-by-step explanation:
Distribute and transfer the x’s to the other side and make sure to flip the signs of the x’s. Then solve for x.
Answer:
ummmmm..... ykw I cant do that but I will give out free brainly points sooo ya (on a question)
Step-by-step explanation:
Answer:
y = -2.5 x + 6.5
Step-by-step explanation:
The equation of a line in slope-intercept form is written as
y = mx + b where m is the slope and b is the y-intercept.
a) We can find the slope of the line passing through (-1,30 and (-4, 5) by subtracting the y coordinates and dividing the difference by the difference if the x coordinates:
m = (5 - 3 ) = 2
-4 - (-1) -3
Now use this slope and substitute the coordinates of either of the given points to find the y-intercept, b . Let's use (-1,3):
y = mx + b
3 = -2 • -1 + b
3
3= 2 + b
3
7 = b
3
The equation of the line will be y = -2 x + 7
3 3
b) Using y = mx + b, we can substitute -2.5 for the slope and use the point to find the y-intercept:
y = -2.5x + b
1.5 = -2.5 • 2 + b
1.5 = -5 + b
6.5 = b
The equation of the line will be:
y = -2.5 x + 6.5
2100/4=525, 525(13)=6825, the answer would be 6825 miles