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mote1985 [20]
3 years ago
14

Cora opened a coffee shop. She plans to buy some tables that seat exactly 2 people and one large table that can seat 8 people. D

ue to the size of her shop, she can seat no more than 40 people at a time. Find the number of total tables Cora can fit into her coffee shop. Select all that apply.
a) 17
b) 16
c) 18
Mathematics
1 answer:
AnnZ [28]3 years ago
4 0
The answer would be 16 right?
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The graph of a linear relationship has a slope of -5 and passes through the point (2, -12). Write the equation of the line in sl
DerKrebs [107]
<h3>Answer:</h3>

y=-5x-2

<h3>Solution:</h3>
  • We are given the line's slope and a point that it passes through.
  • Using the given information, we can write the equation of the line in Point-Slope Form:
  • y-y_1=m(x-x_1)
  • In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.
  • In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.
  • Plug in the values:
  • y-(-12)=-5(x-2)
  • y+12=-5(x-2)
  • Now, convert into Slope-Intercept Form, y=mx+b:
  • y+12=-5x+10
  • y=-5x+10-12
  • y=-5x-2

Hope it helps.

Do comment if you have any query.

5 0
3 years ago
How many ounces of a 19% alcohol solution and a 37% alcohol solution must be combined to obtain 90 ounces of a 24% solution
bogdanovich [222]

Answer:

19% alcohol solution = 65 ounces

37% alcohol solution = 25 ounces

Step-by-step explanation:

Let

19% alcohol solution = x

37% alcohol solution = y

x + y = 90 (1)

0.19x + 0.37y = 90*0.24

0.19x + 0.37y = 21.60 (2)

from (1)

x = 90 - y

Substitute into (2)

0.19x + 0.37y = 21.60

0.19(90-y) + 0.37y = 21.60

17.1 - 0.19y + 0.37y = 21.60

- 0.19y + 0.37y = 21.60 - 17.1

0.18y = 4.5

y = 4.5/0.18

y = 25 ounces

x + y = 90 (1)

x + 25 = 90

x = 90 - 25

x = 65 ounces

6 0
3 years ago
A man bought a refrigerator at a discount of 12 percent. It's usual price was $900.How much did he pay for the refrigerator
tiny-mole [99]

Multiply by .88, he paid $792

3 0
3 years ago
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Julie buys 2kg of apples and 7 kg of pears for £12.70. The pears cost £1.30 per kilogram. What is the price per kilogram of the
lianna [129]
Let's say a stands for apples and p for pears
We know that
p = 1.30
And

2a + 7p = 12.70
In order to know what the cost of an "a" is we have to put the value of the p in the second equation, which means

2a + 7 \times (1.30) = 12.70
2a = 12.70 - 9.10
2a = 3.60
And
a = 1.80
The price of per kilo for apples is 1.80
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3 years ago
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Murljashka [212]
Massage me if it’s not clear

Hope it’s right
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3 years ago
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