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solong [7]
4 years ago
12

How to do proportions?

Mathematics
2 answers:
finlep [7]4 years ago
6 0
Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving proportions, like this: Find the unknown value in the proportion: 2 : x = 3 : 9.
Nesterboy [21]4 years ago
3 0
 A proportion is just two fractions set equal to each other

So, when solve a proportion, you cross multiply

\frac{x}{3} = \frac{3}{4}

So, multilpy the top of the fraction on the left by the bottom of the fraction on the right

x · 4 = 4x

Now, multiply the bottom of the left by the top of the right

3 · 3 = 9

Now, set these two products equal to each other

4x = 9

Divide by 4 to isolate x

x = \frac{9}{4}
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7x-9x=-36<br> (I know the answer but I’m not sure if I have the work right)
pav-90 [236]

Answer:

18, is your answer!

Step-by-step explanation:

5 0
3 years ago
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Which one greater 8.20 or 8.2
nata0808 [166]
Neither because the 0 in 20 has no value so u dont count it.there equal
6 0
3 years ago
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What is the factorization of 729^15+1000?
igomit [66]

Answer:

The factorization of 729x^{15} +1000 is (9x^{5} +10)(81x^{10} -90x^{5} +100)

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form (a^{3} +b^{3} ) or (a^{3} -b^{3}). It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of 729x^{15} +1000 by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation 729x^{15} +1000, and the exponent of the letter x is divided by 3.

\sqrt[3]{729x^{15}} =9x^{5}

1000=10^{3} then \sqrt[3]{10^{3}} =10

So, we got that

729x^{15} +1000=(9x^{5})^{3} + (10)^{3} which has the form of (a^{3} +b^{3} ) which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})

with a= 9x^{5} y b=10

2.) Solving the sum of cubes.

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)

.

8 0
3 years ago
Darnel buys a computer priced at $331. If the sales tax is 5%,how much tax will Darnel pay?
34kurt

Answer:

347.55

Step-by-step explanation:

331 x 0.05 =16.55

16.55 + 331 = 347.55

5 0
2 years ago
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Alexei wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.25 square feet
zhuklara [117]

Let

x---------> the thickness of the frame in feet

At-------> Area of the mirror and the frame in square feet

we know that

At=19.25ft^{2} ------> equation 1

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equate equation 1 and equation 2

19.25=4x^{2} +16x+15\\ 4x^{2} +16x+15-19.25=0\\ 4x^{2} +16x-4.25=0

therefore

the answer is the option

C. 4x2 + 16x - 4.25 = 0

5 0
3 years ago
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