Five more than seven times a number is ninety-six. What is the number?Type an equation and solve

Answers

Answer 1

Answer:

Answer: the answer to this problem is 13!

Step-by-step explanation: To solve this problem, we must work backward. So the last step we did in this problem was adding five to the number, so to work backward we must subtract 5 from 96 to get 91. Now then the last step was to multiply by seven and since we are working backward, we must divide by seven to get our original number 13.

This is the equation: (13*7)+5

Hope this helped :)

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Ohama is landing a plane on the runway. He's trying to decide where he should deploy the plane's landing gear so that the plane comes to a stop exactly at the end of the runway. The runway is 600 yards long, and the plane will travel half the distance with the landing gear than without the landing gear. Where should he deploy the landing gear ?

Answers

Answer:

Let's define:

A = distance traveled before deploying the landing gear

B = distance traveled after deploying the landing gear.

We must have that the sum of those two distances must be equal to 600 yards.

A + B = 600 yd.

And we know that:

" the plane will travel half the distance with the landing gear than without the landing gear."

Then we have that:

B = A/2.

Now we can replace this last equation in the first one:

A + B = 600yd

A + A/2 = 600yd.

(3/2)*A = 600yd.

A = (2/3)*600yd = 400yd.

Ohama should deploy the landing gear 400 yd into the runway.

If h(x) = −3x − 10, find h(−3).

Answers

Answer:

Step-by-step explanation:

h=-3

-3(-3)= 9

Answer:

h(-1)

h= -1

Step-by-step explanation:

For which system of equations is (2, 2) a solution? A.–3x + 3y = 0
x + 6y = 10B.–2x + 5y = –6
4x – 2y = 4C.5x – 2y = –6
3x – 4y = 2D.2x + 3y = 10
4x + 5y = 18

Answers

$A.)\n\n-3x + 3y = 0\nx + 6y = 10 \ / *3\n\n-3x + 3y = 0\n3x + 18y = 30\n+------\n21y =30 \ / :21\n \ny=(30)/(21)=(10)/(7)\n\nnot \ true$

$B.)\n\n-2x + 5y = -6 \ / \cdot 2\n4x - 2y = 4\n \n-4x + 10y = -12 \n4x - 2y = 4 \n+-------- \n8y=-8\ /:8\n \ny=-1\n \n not \ true$

$C.\n\n5x - 2y = -6 \ / \cdot 2\n3x - 4y = 2 \n \n 10x - 4y = -12 \n 3x- 4y = 2\n+------\n13x=-11 \ / :13\n \nx=-(11)/(13)\n\n not \ true$

$D.)\n\n2x + 3y = 10\ / \cdot (-2)\n4x + 5y = 18\n\n-4x -6y =-20\n4x + 5y = 18\n+-------\n-y = -2 \ / \cdot (-1)\n \ny=2$

$2x + 3*2 = 10\n \n2x=10-6 \n \n2x=4 \ / :2 \n \n x=2 \n \n true$

$x=2\ \ \ and\ \ \ y=2\n\nA.\ \ \ \ \ \ x + 6y = 2+6\cdot2=2+12=14 \neq 10\n\nB.\ \ \ \ \ -2x + 5y =-2\cdot2+5\cdot2=-4+10=6 \neq -6\n\nC.\ \ \ \ \ \ \ 5x-2y =5\cdot2-2\cdot2=10-4=6 \neq -6\n\nD.\ \ \ \ \ \ \ 2x + 3y =2\cdot2+3\cdot2=4+3= 10\nand\ \ \ \ \ \ 4x + 5y = 4\cdot2+5\cdot2=8+10=18\n\nAns.\ (2,\ 2)\ is\ a\ solution\ for\ system \ D$