Answer:
x≥ 0
Step-by-step explanation:
7x+6 ≥ -(x-6)
Distribute the minus sign
7x+6 ≥ -x+6
Add x to each side
7x+x+6 ≥ -x+x+6
8x+6 ≥ 6
Subtract 6 from each side
8x+6-6 ≥ 6
8x≥ 0
Divide by 8
8x/8≥ 0/8
x≥ 0
Answer:
x=5, y=2
Step-by-step explanation:
You simply write down what you see:
3x - 4y + 4x - 5y = 17
2x - 3y + 3x - 5y = 9
Then you simplify by grouping the x and the y terms:
7x - 9y = 17
5x - 8y = 9
Now you want to get equal amounts of x or y. Let's go for x. If we multiply the top eq with 5 and the bottom one with -7, we get:
35x - 45y = 85
-35x + 56y = -63
-------------------------+ now we can add them:
11y = 22 divide by -11
y = 2
So 7x - 18 = 17, x =5
Finally, it makes sense to double check by filling in these answers in the original equations, just to see if no mistakes were made:
3*5 - 4*2 = 7
4*5 - 5*2 = 10
7+10 = 17: ok!
2*5 - 3*2 = 4
3*5 - 5*2 = 5
4+5 = 9: ok!
Answer:
x=7
y=9
Step-by-step explanation:
x+7y=70 ...(1)
3x-6y=-33
divide by 3
x-2y=-11 ...(2)
(1)-(2) gives
x+7y-x+2y=70+11
9y=81
y=9
x-2*9=-11
or x=-11+18=7
Answer:
Step-by-step explanation:
(7/12) of 840 attended the concert:
(7/12)*(840) = 490 students attended the Spring Concert.
(840 - 490) = 350 did not attend
(350/840) is the fraction of students who did not attend. This can be reduced to (35/84)
(350/840) = 0.4167 or 41.67% did not attend.
All you have to do to find the answer is divide 200 by 4 to get 50. so now you know 1/4 of 200 is 50. but jose threw the ball 3/4 as far kaitlyn so you would have to multiply 50 by 3 to get 150 which is 3/4 of 200 . so 150 ft is the answer and how far jose threw the ball.
