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krek1111 [17]
3 years ago
8

A changes saved Set up a proportion and use it to solve for x. 2 10 х 3

Mathematics
1 answer:
V125BC [204]3 years ago
3 0

Answer:

C. 15

Step-by-step explanation:

The following proportional can be set-up for the figure given:

\frac{x + 3}{x} = \frac{10 + 2}{10}

Solve for x

\frac{x + 3}{x} = \frac{12}{10}

\frac{x + 3}{x} = \frac{6}{5}

Cross multiply

5(x + 3) = x(6)

5x + 15 = 6x

15 = 6x - 5x

15 = x

x = 15

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Using arithmetic operations, rewrite this polynomial in standard, simplest form.
dangina [55]
(3x2 + 9x + 6) − (8x2 + 3x − 10) + (2x + 4)(3x − 7)

First distribute the (2x+4)(3x-7) to get 6x2-2x-28
After this just add the like terms for all parts of the expression.
(3x2-8x2+6x2)+(9x-3x-2x)+(6+10-28)
x2+4x-12

So you answer is x2+4x-12
7 0
3 years ago
49 - 3 + 9 times 8 divided by 2
irinina [24]

Answer:

82

Step-by-step explanation:

49 - 3 + 9 times 8 divided by 2

6 0
3 years ago
Read 2 more answers
Suppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76
yKpoI14uk [10]

Answer:

12 cm²

Step-by-step explanation:

Length of rectangle = 5.6 cm

Width of rectangle = 2.1 cm

Area of rectangle = Length of rectangle×Width of rectangle

⇒Area of rectangle = 5.6×2.1

⇒Area of rectangle = 11.76 cm²

11.76 has 4 significant figures in order to write this term in 2 significant terms we round of the term

The last digit in the decimal place is 6. Now, 6≥5 so we round the next digit to 8 we get

11.8

Now the last digit in the decimal place is 8. Now, 8≥5 so we round the next digit to 2 we get

12

∴ Hence the area of the rectangle when rounded to 2 significant figures is 12 cm²

5 0
3 years ago
Expand and simplify <img src="https://tex.z-dn.net/?f=%20%283x-2%29%5E%7B2%7D%20" id="TexFormula1" title=" (3x-2)^{2} " alt=" (3
Rus_ich [418]
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
7 0
3 years ago
Jordan has 3 blue marbles and 8 red marbles. What is the ratio of blue marbles to red marbles?
fenix001 [56]

Answer:

The ratio of blue to red marbles is 3 to 8.

Hope this helps :) have a good day!

8 0
2 years ago
Read 2 more answers
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