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julsineya [31]
3 years ago
13

Translate into algebraic expression and simplify: ''Ten times the sum of a number and three'' b) nine substracted from twice a n

umber''
Mathematics
1 answer:
hichkok12 [17]3 years ago
4 0

Step-by-step explanation:

a)\\n-\text{the number}\\\\\text{Ten times the sum of a number and three:}\\\\\boxed{10\times(n+3)=10(n+3)}\\\\b)\\n-\text{the number}\\\\\text{Nine substracted from twice a number}:\\\\\boxed{2n-9}

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Answer:

78qt= 19.5 U.S. gallons

Step-by-step explanation:

6 0
3 years ago
How would you do a,b,c,and d
I am Lyosha [343]

a) You are told the function is quadratic, so you can write cost (c) in terms of speed (s) as

... c = k·s² + m·s + n

Filling in the given values gives three equations in k, m, and n.

28 = k\cdot 10^2+m\cdot 10+n\\21=k\cdot 20^2+m\cdot 20+n\\16=k\cdot 30^2+m\cdot 30+n

Subtracting each equation from the one after gives

-7=300k+10m\\-5=500k+10m

Subtracting the first of these equations from the second gives

2=200k\\\\k=\dfrac{2}{200}=0.01

Using the next previous equation, we can find m.

-5=500\cdot 0.01+10m\\\\m=\dfrac{-10}{10}=-1

Then from the first equation

[tex]28=100\cdot 0.01+10\cdot (-1)+n\\\\n=37[tex]

There are a variety of other ways the equation can be found or the system of equations solved. Any way you do it, you should end with

... c = 0.01s² - s + 37

b) At 150 kph, the cost is predicted to be

... c = 0.01·150² -150 +37 = 112 . . . cents/km

c) The graph shows you need to maintain speed between 40 and 60 kph to keep cost at or below 13 cents/km.

d) The graph has a minimum at 12 cents per km. This model predicts it is not possible to spend only 10 cents per km.

4 0
3 years ago
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a pers
Arturiano [62]

Answer:

A person who watches 8.5 hours of TV can do 30.4 sit ups.

Step-by-step explanation:

The regression equation is used to predict or estimate the value of the response (or dependent) variables using the information about the explanatory (or predictor) variables.

The general form of a regression equation is:

y=ax+b

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>a</em> = intercept

<em>b</em> = slope

The regression equation representing the relationship between hours of TV watched per day (<em>x</em>) and number of sit ups a person can do (<em>y</em>) is:

y=-0.74x+36.359

Compute the number of sit ups a person who watches 8.5 hours of TV can do as follows:

y=-0.74x+36.359

  =(-0.74\times 8.5)+36.359\\=-6.29+36.659\\=30.369\\\approx 30.4

Thus, a person who watches 8.5 hours of TV can do 30.4 sit ups.

6 0
3 years ago
Write the equation of a line that is perpendicular y=2/3x+9
Alex_Xolod [135]

To create a line that is perpendicular to the one given, completely invert the slope.

y = -3/2x + 9

6 0
3 years ago
Read 2 more answers
Which statement explains the equation (6×3)×2=6×(3×2​
Tju [1.3M]

They both equal the same thing

(6 x 3) x 2 = 36

6 x(3 x 2) = 36

6 0
2 years ago
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