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3 years ago

Which of the following is a solution to the equation y = 3x - 1 ?

1 answer:

8 0

One way of determining the answer is by substituting the values to the equation. It is done as follows:

A. (4,1)
y = 3x - 1
1 = 3(4) - 1 = 11 -------> not equal

B. (2,5)
y = 3x - 1
5 = 3(2) - 1 = 5 --------> equal

C. (4,3)
y = 3x - 1
3 = 3(4) -1 --------------> not equal

D. (0, -3)
y = 3x - 1
-3 = 3(0) -1 = -1 ---------> not equal

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Write an equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells cupcakes, c, for 1.50

Archy [21]

Answer:

$\text{p}=\$1.20\text{c}-\$20$

Step-by-step explanation:

GIVEN: Catherine sells cupcakes c for $\$1.50$ each, The ingredients for each cupcake cost her $\$0.30$ , and the sum of all her other expenses is $\$20/\text{month}$ .

TO FIND: Equation to represent Catherine's profit from selling cupcakes.

SOLUTION:

Cost of ingredients for each cupcake $=\$0.30$

sum of all other expenses $=\$20/\text{month}$

Selling price of each cupcake $=\$1.50$

Total cupcakes sold $=\text{c}$

Now,

As we know that $\text{Net profit}=\text{Selling price}-\text{Cost price}-\text{Other expense}$

putting values,

$\text{p}=\$1.50\text{c}-\$0.30\text{c}-\$20$

$\text{p}=\$1.20\text{c}-\$20$

Hence the equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells is $\text{p}=\$1.20\text{c}-\$20$

8 0

3 years ago

Drey makes $10 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week

alekssr [168]

Drey makes $10 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week.

Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime.

If there is no overtime, the equation is W = 10x.

Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours.

At $10 per hour for 40 hours, the total is $400.

S = 15y + 400

Part C: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work?

490 = 15y + 400

490 - 400 = 15y

90 = 15y

90/15 = y

6 = y

Drey worked 46 hours in all.

4 0

3 years ago

For the question: "My quadrilateral has a pair of equal sides and a pair of parallel sides, what special type my quadrilateral m

Effectus [21]

Answer:

Step-by-step explanation:

It must be a trapezoid because a trapezoid has at least one set of parallel sides. Sides of equal length don't mean anything really unless we know hose sides are parallel. I will say sometimes I hear trapezoids ONLY have two parallel sides, while the other two are not, while in other places as long as two are parallel it is a trapezoid. It looks like for this question it is using the definition that at least two parallel sides makes it a trapezoid.

it can be an isosceles trapezoid since it is a type of trapezoid, same with right trapezoid. Basically any special kind of trapezoid

parallelogram because it can have two pairs of parallel lines and have thos parallel sides be equal. So this also means it can be all kinds of parallelograms.

Do you have a list to choose from? because most I pull up don't include right trapezoid at least.

This leaves kite as the only kind of quadrilateral to look at yet, and it specifies no parallel sides. bt your shape need at least one set of them, so it cannot be a kite.

8 0

2 years ago

Answer, please. I need help.

kumpel [21]

Answer:

2i, if you don't understand any of the steps let me know, I'd be happy to explain.

Step-by-step explanation:

$\sqrt{-x} =\sqrt{-1*x} ,\sqrt{xy}=\sqrt{x} \sqrt{y}, \sqrt{-1}=i$