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Ivan
3 years ago
10

For a party, you can spend no more than $20 on cakes. Egg cake costs $4 and cream cake costs $2. Write the linear inequality tha

t models the situation.
Mathematics
1 answer:
Masteriza [31]3 years ago
3 0

Answer: this is what i know

For a party, you can spend no more than $ 20 on cakes. The egg cake cost is $ 4 and the cream cake cost is $ 2. Write the linear inequality that models the situation. Graph the inequality. Suppose that the number of egg cakes we buy is represented by x and the number of cream cakes we buy is represented by y.

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Find the surface area of the pyramid.<br> 64in^2 <br> 56in^2 <br> 88in^2<br> 118in^2
ziro4ka [17]

Answer:

To find the surface area of this pyramid, we must find the <u>area</u> of one <u>triangle</u> flap which we then <u>multiply by 4</u> because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the <u>base(square)'s area</u>. Next, we add all those areas together to get the result of the surface area.

Formula for area of triangle;

A = BH x 1/2

Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.

Plug in what you know, given that the base of one triangle is 4, and the height is 6.

A = 4(6) x 1/2

A = 24 x 1/2

A = 24/2

A = 12, the area of <em>one triangle is 12 inches</em>.

Now, we find the area of all the triangles by multiplying the area of one triangle by 4.

12 = Area of triangle

4 triangles in total, so:

12(4)

= <u>48 inches</u> is the <u>area</u> of <u>all the triangles</u>.

Now we find the area of the base(square) using the formula;

(vol of square formula)
A = s^{2}

Where 's' represents one side of the square which is being squared.

or

A = l · w

Where 'l' represents the length and 'w' represents the width.

Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).

(I'll be using the formula s^{2})

A = s^{2}

A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)

A = 16, the <u>area</u> of the <u>base(square)</u> is <u>16 inches</u>.

Now we add both areas together:-

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5 0
2 years ago
What is the solution set of 2x(x - 1) = 3?
garik1379 [7]

First you must distribute the 2x to the numbers inside the parentheses

(2x * x) + (2x * -1) = 3

2x^{2} - 2x = 3

To make this a quadratic equation you can solve bring the 3 over to the left side of the equation by subtracting it to both sides

2x^{2} - 2x - 3 = 0

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

ax^{2} +bx +c = 0

That means that in this equation...

a = 2

b = -2

c = -3

^^^Plug these numbers into the quadratic equation and solve...

\frac{2+/-\sqrt{(-2)^{2}-4(2)(-3)}}{2(2)}

\frac{2 +/-\sqrt{4+24}}{4}

\frac{2+/-\sqrt{28} }{4}

\frac{2+/-2\sqrt{7} }{4}

\frac{1+/-\sqrt{7} }{2}

Keep in mind that +/- is ±

\frac{1+\sqrt{7} }{2}

\frac{1-\sqrt{7} }{2}

^^^Exact answers

Approximations:

1.823

-0.823

Hope this helped!

~Just a girl in love with Shawn Mendes

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Look this up
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Liono4ka [1.6K]
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Factor. 81a36−64b16 (9a6−8b4)(9a6+8b4) (9a18−8b8)(9a18+8b8) (9a6−8b4)2 (9a18−8b8)2
DochEvi [55]
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