Answer:
x = 2
Step-by-step explanation:
8(4-x) = 7x + 2
1) Distribute : 32 - 8x = 7x + 2
2) Subtract 32 : -8x = 7x - 30
3) Subtract 7x : -15x = -30
4) Divide 15 : x = 2 :)
Let x be the number of running plays
Y be the number of
passing plays
Since the total plays is 110
X + y = 110
And total yard is 378
3x + 7y = 378
Using the first equation
X = 110 – y and substitute to the 2nd equation
3(110 – y) + 7y = 378
And solve for y
Y = 12
Substitute to eqution 1
X = 110 – 12 = 98
Answer:
look at the photo
Step-by-step explanation:
Since the inequality is already written in y=mx+b, you can easily graph the line. +3 is the y intercept, so one point would be (0,3). -2 resembles the slope, so diagonally to the left, you would go up 2 and across 1. Also, since the sign is "<" you would graph with a dotted line. Then to know which side to shade, I always use the coordinate (0,0). I plug in 0 for both x and y to see if (0,0) satisfies the inequality. In this case it does, so you would shade on the side where (0,0) is located.
Answer:
<u>The original number is 96.875</u>
Step-by-step explanation:
Let's find the original number using the Direct Rule of Three, this way:
Percentage Number
100 x
96 93
***********************************************
96x = 93 * 100
96x = 9,300
x = 9,300/96
x = 96.875
<u>The original number is 96.875</u>
Since slope intercept is y=mx+b, you first want to get rid of the 2x by subtracting it from both sides. after, you should end up with 4y=16-2x or 4y=-2x+16, they both are the same, but some teachers might prefer the slope first. after that, you want to get the y alone, so you divide everything by 4. you should end up with the slope intercept form being y=-2/4x+4, simplified to y=-1/2x+4.