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pentagon [3]
2 years ago
8

Solve the inequality.

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
4 0

Answer:

x \leq -3

Step-by-step explanation:

Make common denominators

\frac{2x}{6} - \frac{3x-3}{6}\geq\frac{6}{6}

Use the numerators only

2x - (3x - 3) \geq 6

Distribute

2x - 3x + 3 \geq 6

-x + 3 \geq 6

Subtract 3 from both sides

-x \geq 3

x \leq -3

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Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each bea
xz_007 [3.2K]

Answer:

To make a profit of at least $500 she must sell at least 12 necklaces

Step-by-step explanation:

Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.

The costs side of the equation, we have:

Let no. of necklaces that she sell are x

∴ The cost of making and packaging x beaded necklace is $15x

Total Cost = 95+15x

Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x

To make a profit of at least $500 the equation can be written as

95+15x+500\leq35x

595\leq50x

⇒ x\geq11.9=12

Hence,  to make a profit of at least $500 she must sell at least 12 necklaces



7 0
4 years ago
Read 2 more answers
Which group of organism has the shortest record of life on earth
Kaylis [27]
That would be.... placoderm fish
7 0
4 years ago
How do you solve for a side in a right triangle that has a hypotenuse of 10, an angle of 35, and the side across from the angle
goblinko [34]

\sin \theta = \dfrac{\textrm{opposite}}{\textrm{hypotenuse}}

\sin 35^\circ = \dfrac{x}{10}

x = 10 \sin 35^\circ

That's the exact answer; they usually want a calculator approximation at this point,

x \approx 5.735

7 0
3 years ago
What is the square root of 216?
KATRIN_1 [288]
\sqrt{216}=\sqrt{36\cdot6}=\sqrt{36}\cdot\sqrt6=6\sqrt6


216|2\\108|2\\.\ 54|2\\.\ 27|3\\.\ \ 9|3\\.\ \ 3|3\\.\ \ 1\\\\216=2^2\cdot3^2\cdot2\cdot3\\\\\sqrt{216}=\sqrt{2^2\cdot3^2\cdot2\cdot3}=\sqrt{2^2}\cdot\sqrt{3^2}\cdot\sqrt6=2\cdot3\cdot\sqrt6=6\sqrt6
5 0
3 years ago
Complete the following problem.
pav-90 [236]

Answer:

55/24 miles or 2 7/24 2.29... miles

Step-by-step explanation:

7/8 = 21/24

3/4 = 18/24

2/3 = 16/24

16+18+21=55

4 0
3 years ago
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