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3 years ago

-2(t + 4 2/3) = 9 1/2

1 answer:

4 0

So you times the -2 with the bits inside the bracket so:
-2 x t= -2t
-2 x 4 2/3 = -9 1/3
So then that makes:
-2t - 9 1/3= 9 1/2
So to get what t equals you have to get it by itself so you add the -9 1/3 to both sides of the equation to get:
-2t=18 5/6
So then you divide by -2 on both sides to get
t=-9 5/12
Which is the answer. :-D

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What is the value of the expression below when z =5 and w=5? 9z-3w

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3 years ago

Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60

anygoal [31]

Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

L:length.

Now, we can write the equation of that relates length and width:

$L=5W-60$ (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

$Area=W*L=W*(5W-60)$ (Equation #2)

Since the Area of the yard is $800 ft^2$ , then equation #2 turns into:

$800=W*(5W-60)$

Now, we rearrange this equation:

$800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0$

We can divide the equation by 5 :

$W^2-12W-160=0$

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since $(-20)*8=160$ and $-20+8=-12$ . The equation factorised looks like this:

$(W-20)(W+8)=0$

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

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Therefore, the dimensions of the yard are W=20ft and L=40ft.

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goldenfox [79]

Answer:

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Step-by-step explanation:

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Lilit [14]

Answer: a = 3

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so the slope is -3 and the y-intercept is 16

so a*-3 + 16 = 7

by subtracting 16 on both sides you get

-3a = -9

and to get a by itself you divide -3 on both sides

a = -9/-3

a= 9/3

a = 3

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3 years ago