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Maslowich
2 years ago
13

An online furniture store sells chairs for $150 each and tables for $600 each. Every day, the store can ship a maximum of 18 pie

ces of furniture and must sell at least $5400 worth of chairs and tables. If x represents the number of tables sold and y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.
Mathematics
1 answer:
EleoNora [17]2 years ago
3 0

Answer:

13,500

Step-by-step explanation:

x + y = 750

750 x 18 = 13.500

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Solve the equation 2/3-4x+7/2=-9x+5/6
VMariaS [17]

Answer:

<u>For this equation the value of x is - 2/3</u>

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

<u>x = -4/6 = - 2/3 (Simplifying)</u>

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

<u>It means the value of -2/3 for x is correct</u>

Note: Same answer than 13866851

4 0
3 years ago
Which expression is equivalent to the given expression?<br><br> −(1/2y+1/4)
Zigmanuir [339]

-\left(\dfrac{1}{2}y+\dfrac{1}{4}\right)=-\dfrac{1}{2}y-\dfrac{1}{4}=-\dfrac{1\cdot2}{2\cdot2}y-\dfrac{1}{4}=\dfrac{-2y}{4}-\dfrac{1}{4}=\dfrac{-2y-1}{4}\\\\=-\dfrac{2y+1}{4}

4 0
2 years ago
Simplify.
NikAS [45]

= (16x3 - 8x2 + 4x4) / 2x

= 4x * (4x2 - 2x + x3) / 2x

= 2 * (4x2 - 2x + x3)

= 8x2 - 4x + 2x3

Answer A

4 0
3 years ago
Read 2 more answers
Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9​
LUCKY_DIMON [66]

Answer:

Option E

Step-by-step explanation:

Explicit formula of a geometric sequence is,

T_n=a_1(r)^{n-1}

Here, a_1= First term

r= common ratio

n= number of terms

If, a_1=18 and a_2=9

Common ratio of the sequence r=\frac{a_2}{a_1}

r=\frac{9}{18}

r=\frac{1}{2}

By substituting these values in the formula,

T_n=18(\frac{1}{2} )^{n-1}

Therefore, Option E is the answer.

6 0
3 years ago
Yolanda made 21 hats. Yolanda made 3 times as many hats as Greg. Let n be the number of hats that Greg made.
castortr0y [4]

Answer:

63

Step-by-step explanation:

A) 21(3)=n

B) 63

3 0
3 years ago
Read 2 more answers
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