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2 years ago

5

Keisha bought some candy. At the end of the day she had three and one half bags remaining! She wanted to share what remained equ

ally with her 4 friends. How much did each person get?

1 answer:

faust18 [17]2 years ago

4 0

Answer:

7/8

Step-by-step explanation:

3 1/2=7/2

7/2 divided by 4 is equal to 7/2x1/4

7/2x1/4=7/8

each person got 7/8 of a bag

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2^x-1 +2 ^ 2+ 2 ^ x =3 ^ 2 : 1/ 2^ 5

Nina [5.8K]

2−1+22+2=32125

Step-by-step explanation:

plzzzzzzz Mark my answer in brainlist and follow me

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2 years ago

Maggie graphed the image of a 90 counterclockwise rotation about vertex A of . Coordinates B and C of are (2, 6) and (4, 3) and

Lemur [1.5K]

Answer:

A(2,2)

Step-by-step explanation:

Let the vertex A has coordinates $(x_A,y_A)$

Vectors AB and AB' are perpendicular, then

$\overrightarrow {AB}=(2-x_A,6-y_A)\\ \\\overrightarrow {AB'}=(-2-x_A,2-y_A)\\ \\\overrightarrow {AB}\perp\overrightarrow {AB'}\Rightarrow \overrightarrow {AB}\cdot \overrightarrow {AB'}=0\Rightarrow (2-x_A)(-2-x_A)+(6-y_A)(2-y_A)=0$

Vectors AC and AC' are perpendicular, then

$\overrightarrow {AC}=(4-x_A,3-y_A)\\ \\\overrightarrow {AC'}=(1-x_A,4-y_A)\\ \\\overrightarrow {AC}\perp\overrightarrow {AC'}\Rightarrow \overrightarrow {AC}\cdot \overrightarrow {AC'}=0\Rightarrow (4-x_A)(1-x_A)+(3-y_A)(4-y_A)=0$

Now, solve the system of two equations:

$\left\{\begin{array}{l}(2-x_A)(-2-x_A)+(6-y_A)(2-y_A)=0\\ \\(4-x_A)(1-x_A)+(3-y_A)(4-y_A)=0\end{array}\right.\\ \\\left\{\begin{array}{l}-4-2x_A+2x_A+x_A^2+12-6y_A-2y_A+y^2_A=0\\ \\4-4x_A-x_A+x_A^2+12-3y_A-4y_A+y_A^2=0\end{array}\right.\\ \\\left\{\begin{array}{l}x_A^2+y_A^2-8y_A+8=0\\ \\x_A^2+y_A^2-5x_A-7y_A+16=0\end{array}\right.$

Subtract these two equations:

$5x_A-y_A-8=0\Rightarrow y_A=5x_A-8$

Substitute it into the first equation:

$x_A^2+(5x_A-8)^2-8(5x_A-8)+8=0\\ \\x_A^2+25x_A^2-80x_A+64-40x_A+64+8=0\\ \\26x_A^2-120x_A+136=0\\ \\13x_A^2-60x_A+68=0\\ \\D=(-60)^2-4\cdot 13\cdot 68=3600-3536=64\\ \\x_{A_{1,2}}=\dfrac{60\pm8}{2\cdot 13}=\dfrac{34}{13},2$

Then

$y_{A_{1,2}}=5\cdot \dfrac{34}{13}-8 \text{ or } 5\cdot 2-8\\ \\=\dfrac{66}{13}\text{ or } 2$

Rotation by 90° counterclockwise about A(2,2) gives image points B' and C' (see attached diagram)

8 0

2 years ago

3 gallons But in pints

MakcuM [25]

Answer: 24 pints

Step-by-step explanation:

multiply the volume value by 8

3*8=24

8 0

3 years ago

Write two expressions to show a number increased by 11. Then, draw models to prove that both expressions represent the same thin

ioda

Answer:

n + 11 and 11 + n

Step-by-step explanation:

Let n be the unknown number,

n is increased by 11,

That is, n + 11

By the commutative property of addition,

The expression would be,

11 + n

For drawing a model that shows n + 11

Take two boxes in which first shows n and second shows 11 and add them,

Similarly, for showing 11 + n, take first box that shows 11 and second box that shows n then add them.

5 0

3 years ago

3x-4=13 solve inequality plz show work !

dimulka [17.4K]

3x-4=13
First you want all your x's on one side, and all your ordinary numbers on the other.
Add four to both sides to get rid of the "-4" part on the left.
Your new equation is 3x = 17
Divide each side by 3 to find X.
x= 17/3 or 5 2/3

7 0

2 years ago

Read 2 more answers