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3 years ago

Select yes or no for each literal equation.

Mathematics

1 answer:

ch4aika [34]3 years ago

6 0

Answer:

No, Yes, Yes

Step-by-step explanation:

$5x + 2y = 3$

2y = 3 - 5x

y = (3-5x) / 2

FALSE

$\frac{w + 8}{2} = p$

2P = w + 8

w = 2P - 8

TRUE

$ax + by = c$

by = c - ax

y = (c - ax) / b

TRUE

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If the triangle's sides are a base that is 4 inches, a height that is 3 inches, and the other side that is 5 inches, what is the

Maksim231197 [3]

Answer:

6 in ^2

Step-by-step explanation:

divide side lengths by two and add those numbers

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4 years ago

You have one type of nut that sells for $3.00/lb and another type of nut that sells for $5.40/lb. You would like to have 7.2 lbs

brilliants [131]

Answer: 2.4 pounds of the type of nut that sells for $3.00/lb and 4.8 pounds of the type of nut that sells for $5.40/lb would be needed.

Step-by-step explanation:

Let x represent the number of pounds of the type of nut that sells for $3.00/lb that you would need.

Let y represent the number of pounds of the type of nut that sells for $5.40/lb that you would need.

You would like to have 7.2 lbs of a nut mixture. It means that

x + y = 7.2

The mixture would sell for $4.60/lb. It means that the cost of the mixture would be

4.6 × 7.2 = $33.12

This means that

3x + 5.4y = 33.12- - - - - - - - - 1

Substituting x = 7.2 - y Intl equation 1, it becomes

3(7.2 - y) + 5.4y = 33.12

21.6 - 3y + 5.4y = 33.12

- 3y + 5.4y = 33.12 - 21.6

2.4y = 11.52

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3 years ago

Solve each component inequality and graph the solution

lord [1]

Solution: The value of x after solving both components is $2$ or $(2,11]$ .

Explanation:

From the first component it is clearly noticed that the value of x is greater than 2.

Simplify the second component.

$x-1\leq 10\\x\leq 11$

From the above inequality it is clearly noticed that the value of x is less than or equal to 11.

Solving both components we get $2$ and the graphical representation is shown in the figure.

The red portion shows the solutions of $x>2$ , blue portion shows the solution of $x-1\leq 10$ and purple portion which combination of red and blue portion shows the solution of both inequalities.

Therefore, value of x after solving both components is $2$ or $(2,11]$ .

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