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ELEN [110]
3 years ago
13

Mary's children decide to run a lemonade stand to earn some extra money.The cost to start the business is $1.20 and each cup of

lemonade costs 6 cents to make. If lemonade sells for 10 cents a cup,how many cups must Mary's children sell to make a profit?----Apply systems of equations
Mathematics
2 answers:
o-na [289]3 years ago
7 0
They must sell, 30 cups of lemonade. How I got my answer.

Since it cost $1.20 to start, and a cup of lemonade cost $0.6 to make and there selling them at $0.10 each. So we know they are making a $0.4 profit off of each cup of lemonade. We now have to multiply 4×30=120.

I hope this helps!
natima [27]3 years ago
5 0

Answer:

<h2>They need to sell at least 13 cups to gain profits.</h2>

Step-by-step explanation:

Givens

  • The initial cost is $1.20.
  • Each cup of lemonade costs 6 cents to make.
  • May's children sell 10 cents a cup.

First, we need to represents the cost of their investment.

0.06x=1.20, because each cup costs 6 cents, and the initial costs of all is $1.20.

That means,

x=\frac{1.20}{0.06}= 20

They can produced 20 cups.

However, they already sell a cup for 10 cents. So, how many cups they need to sell to gain profits? We need to establish a similar relation,

0.10x=1.20\\x=\frac{1.20}{0.10} = 12  

This means if they sell 12 cups, they will just cover the investement, that is, zero profits.

Therefore, they need to sell at least 13 cups to gain profits.

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The lengths of the sides of a triangle are 11.25 inches, 9.25 inches, and 10.25 inches. What is the perimeter of the triangle?
solong [7]

Perimeter of the triangle is 30.75 inches.

Step-by-step explanation:

  • Step 1: Given sides of the triangle = 11.25 in, 9.25 in, 10.25 in
  • Step 2: Formula for perimeter of triangle = length of sides of the triangle
  • Step 3: Substitute in the formula

Perimeter = 11.25 + 9.25 + 10.25

= 30.75 inches

8 0
3 years ago
A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches.
gizmo_the_mogwai [7]

Answer:20.25

Step-by-step explanation:

If you do 81 divided by 4

I think Im not sure

8 0
3 years ago
In the diagram, the radius of the outer circle is
JulijaS [17]

the value of x is 8 cm.

<u>Step-by-step explanation:</u>

Correct Question : In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 220π cm2. What is the value of x? Enter your answer in the box.

We have ,

the area of a circle =  πr²

the outer circle area = \pi(2x)^2 =4\pi x^2

the inside circle area = \pi (6)^2= 36\pi

According to Question,

the outer circle area - the inside circle area = he shaded region

⇒ \pi (4x^2)-36\pi =220\pi

⇒ x^2-9 =55

⇒ x^2=64

⇒x =\sqrt{64}=8

Therefore , the value of x is 8 cm.

5 0
3 years ago
The sum of a number p and seven is divided by twelve. the result is three. What is the number
Nitella [24]
P is equal to 29. You take the question backwards: 12*3 then subtract 7
4 0
3 years ago
Read 2 more answers
Which of the following can be used to calculate the volume of water inside the fish bowl?
Lunna [17]

The volume of a sphere can be calculated as

V=\frac{4}{3}\pi r^3

Where r is the radius of the sphere

We want to calculate half of the volume, then we must divide that volume by 2

V^{\prime}=\frac{1}{2}\frac{4}{3}\pi r^3

Now we must find the radius of our sphere, the segment AB is the diameter of the sphere, and the radius is half od the diameter, then

r=\frac{AB}{2}=\frac{12}{2}=6

Let's put it into our equation

\begin{gathered} V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)(\pi)(r)^3 \\  \\ V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)(\pi)(6)^3 \end{gathered}

The problem says to use

\pi\approx\frac{22}{7}

Then

V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)\left(\frac{22}{7}\right)(6)^3

Final answer:

The formula that can be used to calculate the volume of water inside the fish bowl is

V=\frac{1}{2}\left(\frac{4}{3}\right)\left(\frac{22}{7}\right)(6)^3

8 0
1 year ago
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