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3 years ago

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Mathematics

1 answer:

pogonyaev3 years ago

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Bufhenjseuhrcubyfbtbvyx-p

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Solve for x: x^2 + 28x = 60

Alisiya [41]

For this case we have a quadratic equation, $x ^ 2 + 28x-60 = 0$ , of the form $ax ^ 2 + bx + c = 0$

Where:

$a = 1\\b = 28\\c = -60$

We can solve the equation by factoring, that is, we bias two numbers that multiplied give as a result -60 and added as a result 28.

These numbers are:

$+30\ and\ -2\\+ 30-2 = + 28\\+ 30 * -2 + -60$

Then, the factorization is given by:

$(x-2) (x + 30) = 0$

The roots are:

$x_ {1} = 2\\x_ {2} = - 30$

Answer:

$x_ {1} = 2\\x_ {2} = - 30$

8 0

3 years ago

A $1.50 comic book taxed at 7%. What is the total cost?

antiseptic1488 [7]

$1.61

The tax is 0.11

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4 years ago

Read 2 more answers

Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 4000/ 3 * π in 3. One day, her sink clogged.

givi [52]

Answer:

Part a) 119 cups

Part b) 30 cups

Step-by-step explanation:

Part a)

step 1

Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in

The volume of the cone (cup) is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=4/2=2\ in$ ----> the radius is half the diameter

$h=8\ in$

assume

$\pi =3.14$

substitute

$V=\frac{1}{3}(3.14)(2^{2})8=33.49\ in^3$

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

$\frac{4,000}{33.49}= 119\ cups$

Part b)

step 1

Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in

The volume of the cone (cup) is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=8/2=4\ in$ ----> the radius is half the diameter

$h=8\ in$

assume

$\pi =3.14$

substitute

$V=\frac{1}{3}(3.14)(4^{2})8=133.97\ in^3$

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

$\frac{4,000}{133.97}= 30\ cups$

7 0

3 years ago

What is the number six million, thirty thousand, expressed in scientific notation?

irina1246 [14]

six million, thirty thousand <span>6, 030, 000 expressed in scientific notation
</span>

<span>6.03×10^6.</span>

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3 years ago

A 7/16 inch long bolt is used in a machine. what is the length of the bolt written as a decimal?

mars1129 [50]

I believe it's 0.4375

7 0

3 years ago