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DENIUS [597]
3 years ago
8

Identify the converse of the following conditional: If a point is in the first quadrant, then its coordinates are positive.

Mathematics
1 answer:
Vadim26 [7]3 years ago
6 0
Answer: If the coordinates are positive, then the point is in the first quadrant

The converse has us swap the antecedent (first part) and the conclusion (second part) of the conditional. In symbolic notation we would have

Original: If P, then Q
Converse: If Q, then P
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Elaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 in wide 12 in long and 5 cm deep. ( 1 g
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Answer:

b. The paint will not fill the tray by 5.22 in3.

Step-by-step explanation:

The computation is shown below:

First we have to determine the volume of tray by using the following equation

V = L \times W \times H

Now transform this from dimensions to inches

Now  putting the values,

V = 10\times12\times (5\times(\frac{1}{2.54})) \\\\As\ 5 cm = 5 \times (\frac{1}{2.54})

the volume would be equivalent to the

236.22 inches^3

Now 1 gallon is 231 inches^3

So, the remaining would be

= 236.22 - 231

= 5.22^3

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3 years ago
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Caren is making rice and beans. She can spend no more than $10 on the ingredients. Which situation is represented by the inequal
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7) Solve the following system of equations below algebraically using substitution.
Pani-rosa [81]

Answer:

x = 3.25

y =4.75

Step-by-step explanation:

In order to Solve the following system of equations below algebraically using substitution method we say that;

let;

8x - 4y = 7 ..................... equation 1

x + y = 8.......................... equation 2

from equation2

x + y = 8.......................... equation 2

x = 8 - y.............................. equation 3

substitute for x in equation 1

8x - 4y = 7 ..................... equation 1

8(8-y) - 4y = 7

64-8y-4y=7

64-12y=7

collect the like terms

64-7 = 12y

57= 12y

divide both sides by the coefficient of y which is 12

57/12 = 12y/12

4.75 = y

y =4.75

put y = 4.75 in equation 3

x = 8 - y.............................. equation 3

x = 8 -4.75

x = 3.25

to check if your answer is correct, put the value of x and y in either equation 1 or 2

from equation 2

x + y = 8.......................... equation 2

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