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3 years ago

15. Set up a proportion and use it to solve for x. Show your work. 2 10 X 3

Mathematics

2 answers:

ser-zykov [4K]3 years ago

7 0

Answer:

x = 15

Step-by-step explanation:

Create a proportional relationship to solve for x

3/2 = x/10

Cross multiply

2x = 30

Divide both sides by 2

x = 15

chubhunter [2.5K]3 years ago

3 0

Answer:

Step-by-step explanation:

10/(10 + 2) = x/(x + 3) Combine left denominator

10/12 = x/(x + 3) Cross multiply

10(x + 3) = 12*x Remove the brackets on the left

10x + 30 = 12x Subtract 10x from both sides

30 = 2x Divide by 2

2x/2 = 30/2

x = 15

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;HELP ME PLEASE)During Christmas break, Mason's parents allowed him to play video games for 24 total

IRINA_888 [86]

1/3 or 0.333...

Step-by-step explanation:

Well 8 times 3 = 24 so it would be 1/3 of 24 of 0.333...

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3 years ago

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PLEASE HELP <br><br> I am confused on these equations

mamaluj [8]

Answer:

See below.

Step-by-step explanation:

I'll show you step by step how to do the synthetic division.

You are dividing polynomial -6x^4 + 22x^3 + 3x^2 + 15x + 20 by x - 4.

From the polynomial, you only need the coefficients in descending order of degree as they are written.

-6 22 3 15 20

In synthetic division, you divide by x - b. You are dividing by x - 4, so b = 4.

The 4 is written to the left of the coefficients of the polynomial.

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4 | -6 22 3 15 20

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This is what the setup looks like. You can see it in the problem you were given.

The first step is to just copy the leftmost coefficient straight down to below the line.

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4 | -6 22 3 15 20

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-6

Now multiply b, which is 4, by -6 and write it above and to the right.

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4 | -6 22 3 15 20

-24

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-6

Add 22 and -24 and write it next to -6.

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4 | -6 22 3 15 20

-24

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-6 -2

Multiply 4 by -2 and write it above and to the right. Add vertically.

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4 | -6 22 3 15 20

-24 -8

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-6 -2 -5

Multiply 4 by -5 and write it above and to the right. Add vertically.

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4 | -6 22 3 15 20

-24 -8 -10

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-6 -2 -5 -5

Multiply 4 by -5 and write it above and to the right. Add vertically.

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4 | -6 22 3 15 20

-24 -8 -10 -20

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-6 -2 -5 -5 0

The 4 numbers in the second line are the coefficients of the quotient.

The quotient is 1 degree less than the original polynomial.

The quotient is: -24x^3 - 8x^2 - 10x - 20

The last number on the third line is the remainder. Since here the reminder is zero, that means that this division has no remainder. The remainder is 0/(x - 4)

Fill in the boxes with:

-24, -8, -10, -20

-6, -2, -5, -5, 0

-24x^3 - 8x^2 - 10x - 20

6 0

3 years ago

Lyla is shopping for school supplies. She has $20.00 to spend. She plans to buy a package of pens for $4.98. She also wants to b

Ket [755]

<h3><em><u>Question:</u></em></h3>

Lyla is shopping for school supplies. She has $20.00 to spend. She

plans to buy a package of pens for $4.98. She also wants to buy a

calculator. All calculators are being sold for 30 percent less than the

original price. write an inequality that can be used to find the original price, x, of a calculator lyla can buy.

<h3><em><u>Answer:</u></em></h3>

$4.98+0.7x\leq 20$ inequality that can be used to find the original price, x, of a calculator lyla can buy

<h3><em><u>Solution:</u></em></h3>

Given that,

Lyla has $ 20 to spend

So she can spend entire $ 20 or less than $ 20

Total amount she has = $ 20

She plans to buy a package of pens for $4.98

Cost of package of pens = $ 4.98

She also wants to buy a calculator

Let "x" be the original price of calculator

All calculators are being sold for 30 percent less than the original price

Selling price of calculator = original price - 30 % of original price

Selling price of calculator = x - 30 % of x = x - 0.3x = 0.7x

Selling price of calculator = 0.7x

<em><u>Thus a inequality can be framed as:</u></em>

Cost of package of pens + Selling price of calculator $\leq$ 20

$4.98+0.7x\leq 20$

This means that, combined cost of package of pen and selling price of calculator must be less than or equal to the amount with Lyla ( 20 $ )

Thus the inequality is found

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3 years ago

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Scilla [17]

Answer:

2x+15=33

Step-by-step explanation:

Let n be the number of days he has been doing sit ups, not counting the first day. Since he does 2 more sit-ups for each day, then the number of additional sit-ups is 2n.

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Since he did a total of 33 sit ups today, then 2n+15=33

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3 years ago

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Leto [7]

The median is 76

explanation:
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3 years ago

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