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dexar [7]
2 years ago
11

Find the solution to the system of equations y=1/2x +1 y=-x+1

Mathematics
1 answer:
vlada-n [284]2 years ago
4 0

Answer:

x=0, y=1

Step-by-step explanation:

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a manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions of this part are shown below. Whic
VMariaS [17]
To estimate the volume of Thai triangular prism you will use the formula for finding the volume.

V=Bh, where B is the area of the base and h is the height of the prism.

V = (1/2 x 12.6 x 1.6) x 10.75
V = 108.36 cubic mm

You answer is approximately 108 cubic millimeters.
8 0
3 years ago
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A retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack. If the retailer sold all the sh
Karolina [17]

We have been given that a retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack.

Further, we know that retailer sold all the shirts he purchased and profited $84 on the sale.

Let us first find LCM of 24 and 5. The LCM is 120.

Now, let us assume that the retailer bought 120x shirts. Therefore total profit will be:

\text{Profit=}(24x)(8)-(5x)(30)\\\text{Profit=}192x-150x\\\text{Profit=}42x\\

We can set this equal to the given profit to figure out the value of x first.

42x=84\Rightarrow x=2

Therefore, the retailer sold 120(2)=240 shirts, that is, 48 packs.

8 0
3 years ago
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The rule T 5, -0.5° Ro, 1800(x, ) is applied to FGH to
Yuki888 [10]

Answer:

Step-by-step explanation:

Given rule for the multiple translations is,

T_{5,-0.5}.R_{0.180^{\circ}}(x,y)

Apply the rule R_{0,180^{\circ}} first.

(x, y) → (-x, -y)

This rule illustrates a rotation of the triangle FGH by 180° about the origin,

Vertices of ΔFGH are,

F → (1, 1)

G → (4, 5)

H → (5, 1)

After rotation vertices of the image triangle are,

F' → (-1, -1)

G' → (-4, -5)

H' → (-5, -1)

Further apply the rule,

T_{5,-0.5}

(x, y) → (x + 5, y - 0.5)

By this rule of translation,

F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}

            → F"(4, -1.5)

G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]

              → G"(1, -5.5)

H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]

             → H"(0, -1.5)

8 0
2 years ago
the large Square above has area 9 is divided into 9 smaller squares of equal area what is the length of how strong and bold
Kay [80]
If one square is divided into 9 smaller equal squares, then they have to be arranged in 3 lines of 3, that is 3 smaller equal squares per side of the original big square. That said, the area of the big square is equal to the multiplication of 3 small squares sides times 3 small squares sides, call x the length of the small squares.
So,
area = 9 = 3x*3x
9x^2 = 9
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8 0
3 years ago
4x + 20=? it’s hard and i’m confused
NikAS [45]

Answer:

4(x+5) I

Step-by-step explanation:

3 0
3 years ago
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