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alexira [117]
2 years ago
9

A local artisan makes handmade ceramic vases and bowls. Each vase takes 3 hours to make and each bowl takes 2 hours to make. He

is limited to at most 30 hours of work time a week and would like to produce at least 12 items weekly.
Write a system of inequalities that represents the situation.
Group of answer choices

3v + 2b ≤ 30
3v + 2b ≥ 12

3v + 2b ≥30
v + b ≤ 12

2v + 3b ≤ 30
v + b ≥12

3v + 2b ≤ 30
v + b ≥ 12
Mathematics
1 answer:
Sever21 [200]2 years ago
5 0
3 = v
2 = b

3h+2h is less than or equal 30
v+b is greater than or equal to 12

so it is the last set of inequalities
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The coordinates of the vertices for rectangle ABCD are A (2,4), B (6,10), C (9,8) and D (5,2). What
sweet [91]

Answer:

D. \sqrt{65}

Step-by-step explanation:

The computation of the  length of a diagonal (AC or BD) of the rectangle is shown below:

As we know that

The Diagonal length of AC is

= (x_2 - x_1)^2 + (y_2 - y_1)^2\\\\= (9 -2)^2 + (8 - 4)^2\\\\= (7)^2 + (4)^2

= \sqrt{49 + 16}\\\\= \sqrt{65}

Therefore correct option is D.

3 0
2 years ago
The question is in the pic please be specific
vichka [17]
Box 1) (LxW) 20x6=120
box 2) (LxW) 15x4=60
box 1 cost) (size of box x price of box) 120x1.25=150
box 2 cost) (size of box x price of box) 60x1.25=75
subtract 150 and 75 to get 75

answer: the company is saving $75 by choosing to make 50 of box 2 instead of 50 of box 1

hope this makes sense comment if you need more explanation
8 0
3 years ago
Solve the following<br><img src="https://tex.z-dn.net/?f=5x-2%3D%20-9x%2B8" id="TexFormula1" title="5x-2= -9x+8" alt="5x-2= -9x+
OLEGan [10]

Answer:

5x - 2 = (-9x) + 8

5x + 9x = 8 + 2

14 x = 10

x = 10 / 14

x = 5/7

6 0
1 year ago
Read 2 more answers
Find the value of x<br><br>urgent!! plz help me! will give the brainliest​
Anarel [89]

Answer:

x = 2

Step-by-step explanation:

\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2  only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

→ Expand the brackets

\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0

→ Multiply everything by 12 to make solving the equation easier

6x - 6 - 2x - 2 = 0

→ Simplify equation

4x - 8 = 0

→ Add 8 to both sides to isolate 4x

4x = 8

→ Divide by 4 on both sides to isolate x

x = 2

⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

⇒ Substitute in the values

\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0

⇒ Simplify

\frac{1}{2} (1)-\frac{1}{6} (3) = 0

⇒ Simplify further

\frac{1}{2} -\frac{1}{2} =0

0 = 0

The solution x = 2 is correct

4 0
2 years ago
17. In a recent l0-year period, the change
Ronch [10]

Answer:

i think it would be 5,000 but im not for sure

Step-by-step explanation:

4 0
2 years ago
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