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2 years ago

Solve for x. -1/2 (x+5)=2x -3/2

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

4 0

Start from

$-\dfrac{1}{2}(x+5)=2x -\dfrac{3}{2}$

It may be useful to multiply the whole expression by 2, in order to get rid of denominators:

$-(x+5)=4x -3$

Distribute the negative sign in the left hand side:

$-x-5=4x -3$

Move all terms involving x to the left, and all constants to the right:

$-x-4x=-3+5$

Sum like terms:

$-5x=2$

DIvide both sides -5:

$x = -\dfrac{2}{5}$

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On the graph below are three points X, Y, and Z. Write the coordinates for the given dilation.

Julli [10]

ANSWER

$( - \frac{3}{2} , - 1)$

EXPLANATION

From the graph, the coordinates of Y are:

$(3,2)$

We want to find the image of this point after a dilation by a scale factor of -½ about the origin.

The rule for the dilation is :

$(x,y)\to( - \frac{1}{2} x, - \frac{1}{2} y)$

To find the coordinates of Y', we plug the coordinates of Y.

$Y(3,2)\to \: Y'( - \frac{1}{2} (3), - \frac{1}{2}(2) )$

$Y(3,2)\to \: Y'( - \frac{3}{2}, - 1)$

The first choice is correct.

6 0

3 years ago

The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how man

motikmotik

Answer:

$77$

Step-by-step explanation:

The troop wants to sell a minimum of 1,000 boxes, so we're looking for the smallest number of boxes they can sell and still meet the goal. Since there are 13 girls in the troop, take the ceiling (round up to the nearest whole number) of 1,000 divided by 13:

$\left\lceil \frac{1,000}{13}\right\rceil=\boxed{77}$

8 0

2 years ago

Read 2 more answers

Please help, I need it soon.

nadya68 [22]

Answer is : 8v^3+ 14v^2+11v+3
For cubic feet

Solution

Formula : volume base area x height

So base area = 4v^2 +5v+3
Height = 2v+1

So multiply

Volume =(4v^2+5v+3) x(2v+ 1)

The rest is below