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MAVERICK [17]
3 years ago
13

Simplify the expression

Mathematics
2 answers:
MaRussiya [10]3 years ago
5 0
11) 7 + -10+(4(5+-3)) = 7+-10+8=5

12) (12 +-10)+3x+-1(2x+4x), 12+-10x+3x+-2x+-4x = 12+-13x
makvit [3.9K]3 years ago
5 0

11. According to the Order of Operations, you start with the inner brackets and work outward. Then, finally, you do the sum left to right.

... 7 + (-10) +(4(5 -3))

... = 7 + (-10) +4(2)

... = 7 + (-10) + 8

... = -3 + 8

... = 5

12. (12 -10x) +3x -(2x +4x)

... = (12 -10x) +3x -6x . . . . . . combine terms inside parentheses

... = 12 - 10x + 3x - 6x . . . . . terms inside the left parentheses cannot be combined

... = 12 -7x -6x . . . . . . . . . . . here, we're combining terms left to right. Of course like terms can be added in any order you may desire, as long as you pay attention to signs. It is sometimes convenient to add all the positve terms, add all the negative terms, then find the sum of those. -10x +3x -6x = 3x -(10x +6x) = 3x -16x = -13x.

... = 12 -13x

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The sum of their ages equals 80.
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Mikhail is 20 years old.

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3 years ago
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4 years ago
What is the ratio of x to y?
abruzzese [7]
\frac{3}{2} = \frac{2x}{2x+y}

From any proportion, we get another proportion by inverting the extremes (or the means):

\frac{2x+y}{2} = \frac{2x}{3} = k

so we have:

2x=3k
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3k+y=2k
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\frac{x}{y} = - \frac{3}{2}

The corect answer is A. -3/2

or:

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

From any proportion, we get another proportion by inverting the extremes and the means:

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

We use a property of proportions:

\frac{a}{b} = \frac{c}{d}  where a, d are extremes and b,c are means and the product of the extremes equals the product of the means (a*d=b*c),

so we have

\frac{a-b}{b} = \frac{c-d}{d}  or

\frac{a+b}{b} = \frac{c+d}{d}  (you can check this also by "the product of the extremes equals the product of the means")

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

\frac{(2x+y)-2x}{2x} = \frac{2-3}{3}

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3 years ago
Please help please these are short answers
atroni [7]

Answer: The answers are given below.


Step-by-step explanation:  The calculations are as follows:

(19) Weight of the puppy last week is

W_\ell=2\dfrac{1}{2}~\textup{lb},

and weight of the puppy this week is

W_p=7\dfrac{1}{4}=\dfrac{29}{4}~\textup{lb}.

Therefore, the weight gained by the puppy is given by

W_g=W_p-W_\ell=\dfrac{29}{4}-\dfrac{5}{2}=\dfrac{29-10}{4}=\dfrac{19}{4}=4\dfrac{3}{4}~\textup{lb}.

(20) Time taken in Route 1 = 1 hour 30 minutes.

Time taken in Route 2 = 1 hour 45 minutes.

Time taken in Route 3 = 1 hour 35 minutes.

Time taken in Route 4 = 1 hour 25 minutes.

Since we want to spent the least amount of time on the bus, so we will be taking route 4.

(21) Time taken by Nazia to complete her language arts homework is

H_\ell=\dfrac{4}{9}~\textup{hr},

and the time taken by Nazia to complete her Mathematics homework is

H_m=\dfrac{2}{9}~\textup{hr}.

Therefore, Nazia takes more time to complete Language Arts homework, by

H=H_\ell-H_m=\dfrac{4}{9}-\dfrac{2}{9}=\dfrac{2}{9}~\textup{hr}.

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A_m=\dfrac{4}{20}=0.2~\textup{lb},

and the quantity of Aluminium collected by her friend Abigail is

A_a=\dfrac{7}{8}=0.87~\textup{lb}.

Therefore,

(a) Abigail collected more aluminium

and

(b) Total Aluminium collected by both the girls is

T=A_m+A_a=\dfrac{4}{20}+\dfrac{7}{8}=\dfrac{8+35}{40}=\dfrac{43}{40}~\textup{lb}.

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S_w=3\dfrac{1}{4}=3.25~\textup{in.},

and quantity of snowfall on sunday is

S_s=3\dfrac{4}{5}=3.8~\textup{in.}.

Therefore, quantity of snowfall was more on Sunday by

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Thus, all the questions are answered.

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