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Finger [1]
3 years ago
7

Translate this phrase into an algebraic expression.4 divided by the sum of a number and 12

Mathematics
1 answer:
zvonat [6]3 years ago
3 0

Answer:

help me

Step-by-step explanation:

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The library has 157 chairs and 14 tables. If the same number of chairs is placed at each table, how
gladu [14]

<u>11 chairs at each table.</u> (157/14 = 11.214...)

<u>There will be 3 chairs left over.</u> (14x11 = 154  157-154 = 3)

5 0
3 years ago
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The Consumer Price Index​ (CPI) is a measure of the change in the cost of goods over time. If 1982 is used as the base year of c
Mashcka [7]

Answer:

a) y = 3.8 x +100

b) Abs. change= |168.4-167.5|=0.9

So the calculated value is 0.9 points above the actual value.

Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537%

And the calculated value it's 0.537% higher than the actual value.

c) For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

Step-by-step explanation:

Data given

1982 , CPI=100

1986, CPI = 191.2

Notation

Let CPI the dependent variable y. And the time th independent variable x.

For this case we want to adjust a linear model givn by the following expression:

y=mx+b

Solution to the problem

Part a

For this case we can find the slope with the following formula:

m =\frac{CPI_{2006}-CPI_{1982}}{2006-1982}

And if we replace we got:

m =\frac{191.2-100}{2006-1982}=3.8

Let X represent the number of years after. Then for 1982 t = 0, and if we replace we can find b:

100 = 3.8(0)+b

And then b=100

So then our linear model is given by:

y = 3.8 x +100

Part b

For this case we need to find the years since 1982 and we got x = 2000-1982=18, and if we rpelace this into our linear model we got:

y = 3.8(18) +100=168.4

And the actual value is 167.5 we can compare the result using absolute change or relative change like this:

Abs. change= |168.4-167.5|=0.9

So the calculated value is 0.9 points above the actual value.

And we can find also the relative change like this:

Relative. Change =\frac{|Calculated -Real|}{Real}x100

And if we replace we got:

Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537%

And the calculated value it's 0.537% higher than the actual value.

Part c

For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

3 0
3 years ago
What does it mean if am equation is equivalent to 0=0? explain.
anzhelika [568]

This means it has infinite solutions congrats. When solving algebraic equations you can find one solution, no solutions. When you have infinite solutions that means that equations has multiple things that can equal it.

7 0
3 years ago
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Which expression has a value of 18 when n=7?
Lorico [155]
Hello There!

I'm sure it is B. 6n - 24

Hope This Helps You!
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A ticket to a sporting event cost 9.25 write the expression to represent the cost for t number of tickets and the cost for 23 ti
NeTakaya
T(x)= 9.25x
t(23)=212.75
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3 years ago
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