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3 years ago

Elijah and 2 of his friends are each paid $20 per afternoon

Mathematics

2 answers:

aleksklad [387]3 years ago

6 0

300 all together but 100 solo

MArishka [77]3 years ago

4 0

The total amount of their earnings are 100 dollars each

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

Equation of a Circle

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

A square with side length 4 cm represents 20% of a larger figure what is the area of the larger figure?

victus00 [196]

First we are going to find divided by 100 and multiply 20 is equal to four.

We are gonna use x to represent this number.

x/100 * 20 = 4

Solve for x

Therefore x = 20cm

Now that we found x the side of the larger square we are gonna find the area which is side^2.

20 * 20

Therefore the area of the larger square is 400cm^2

8 0

3 years ago

A tennis team has won 15 out of 20 matches they played this season. How many additional matches must the team win in a row to ra

LuckyWell [14K]

You need to win 30 matches in a row to raise its winning percentage to 90%

7 0

3 years ago

What is the variable equal to? 6x = 24 x = 5 x = 4 x = 144 x = 3

olganol [36]

Answer:

x=4

Step-by-step explanation:

Divide both sides by 6.

3 0

3 years ago

Read 2 more answers

A cup of raw Arborio rice weighs 7 ounces. One cup will serve 1 people. Arborio rice is purchased in 2-pound boxes for $1.99. Ho

kow [346]

The rice will cost $17.6 for serving 40 people

<h3>Solution:</h3>

We need to determine the cost of serving 40 people with rice

Arborio rice is purchased in 2-pound boxes for $1.99

The price of 1 pound box will be $\frac{\$ 1.99}{2}=\$ 0.995$

1 Pound (lb) is equal to 16 ounces (oz)

Therefore, the price of 16 ounces is $0.995

A cup of raw Arborio rice weighs 7 ounces and it serve 1 people

$\begin{array}{l}{\text { The cost per person is } \frac{\$ 0.995}{16} \times 7=\$ 0.44} \\\\ {\text { The cost for serving } 40 \text { people }=\$ 0.44 \times 40=\$ 17.6}\end{array}$

Therefore rice will cost $17.6 for serving 40 people

7 0

3 years ago