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iVinArrow [24]
3 years ago
6

Rachel went to the mall to buy new clothes. Macy's was having a sale:4 dresses for $84. Rachel decided to buy one dress. how muc

h did one dress cost ​
Mathematics
1 answer:
Lunna [17]3 years ago
3 0

Answer:

21

Step-by-step explanation:

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Which is the approximate solution to the system y = 0.5x + 3.5 and y = − 2/3 x + 1/3 shown on the graph? (–2.7, 2.1) (–2.1, 2.7)
AlekseyPX

Answer:

The approximate solution to the system is (-2.7, 2.1).

Step-by-step explanation:

To solve the system of equations \begin{bmatrix}y=0.5x+3.5\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix} you must:

\mathrm{Rationalize\:equations}\\\\\begin{bmatrix}y=\left(\frac{1}{2}\right)x+\left(\frac{7}{2}\right)\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}

\mathrm{Subsititute\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\begin{bmatrix}-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\end{bmatrix}

\mathrm{Isolate}\:x\:\mathrm{for}\:-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\\\\-\frac{2}{3}x=\frac{19}{6}+\frac{1}{2}x\\\\-\frac{7}{6}x=\frac{19}{6}\\\\6\left(-\frac{7}{6}x\right)=\frac{19\cdot \:6}{6}\\\\-7x=19\\\\x=-\frac{19}{7}\approx-2.7

\mathrm{For\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\mathrm{Subsititute\:}x=-\frac{19}{7}\\\\y=-\frac{2}{3}\left(-\frac{19}{7}\right)+\frac{1}{3}\\\\y=\frac{15}{7}\approx 2.1

The approximate solutions to the system of equations are:

x=-2.7 ,\:y=2.1

5 0
3 years ago
Read 2 more answers
Divide. Yes rectangular model to record the partial quotient <br> 246/3=
ra1l [238]
82... because 24/3 is 8 and 6/3 is 2
Therefore you get 82
5 0
3 years ago
4 + 3s + 2<br> Terms:<br> Coefficients:<br> Constants:<br> Answer
USPshnik [31]

▬▬▬▬▬▬▬▬▬▬▬▬

<h3>4 + 3s + 2 </h3>

→ Terms - <u>Three</u> (<u>Trinomial</u>)

→ Coefficient - <u>3</u>

→ Constants - <u>4</u> and <u>2</u>

▬▬▬▬▬▬▬▬▬▬▬▬

8 0
3 years ago
Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3jb+2c+3j where b is the number of hou
monitta

Answer:

748 trees  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

b + 2c + 3jb + 2c + 3j =

88 + 2(33) + 3(44)(88) + 2(33) + 3(44) =

88 + 66 + 396 + 66 + 132 = 748 trees


5 0
3 years ago
What is the solution to this equation?
Anettt [7]

Answer:

B. a = 5

Step-by-step explanation:

3(a - 4) + 1 = 9 - a

Distribute the 3 into the parenthesis.

3a - 12 + 1 = 9 - a

Add -12 and 1.

3a - 11 = 9 - a

Add a to both sides.

4a - 11 = 9

Add 11 to both sides.

4a = 20

Divide both sides by 4.

a = 5.

Proof:

3(a - 4) + 1 = 9 - a

Substitute variable.

3(5 - 4) + 1 = 9 - 5

Subtract inside parenthesis.

3(1) + 1 = 9 - 5

Multiply 3 and 1.

3 + 1 = 9 - 5

Add 3 and 1.

4 = 9 - 5

Subtract 5 from 9.

4 = 4.

6 0
3 years ago
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