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1 year ago

According to the data, Vannessa mean quiz ...

Mathematics

1 answer:

damaskus [11]1 year ago

8 0

Answer: x = 108

Given the below equation

x + 13 1/2 = 121 1/2

Firstly, we need to convert the mixed fraction into an improper fraction

$\begin{gathered} x\text{ + 13}\frac{1}{2}\text{ = 121 }\frac{1}{2} \\ 13\frac{1}{2}\text{ = }\frac{(2\text{ x 13) + 1}}{2} \\ 13\text{ }\frac{1}{2}\text{ = }\frac{26\text{ + 1}}{2} \\ 13\frac{1}{2}\text{ = }\frac{27}{2} \\ 121\frac{1}{2}\text{ = }\frac{(2\text{ x 121) + 1}}{2} \\ 121\frac{1}{2}\text{ = }\frac{243}{2} \\ \text{Therefore, the new equation becomes} \\ x\text{ + }\frac{27}{2}\text{ = }\frac{243}{2} \\ \text{Isolate x} \\ x\text{ = }\frac{243}{2}\text{ - }\frac{27}{2} \\ \text{Common denominator = 2} \\ x=\text{ }\frac{243\text{ - 27}}{2} \\ x\text{ = }\frac{216}{2} \\ x\text{ = 108} \end{gathered}$

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Ratling [72]

Answer:

1 is 60 2 is 60 and 3 is 119

Step-by-step explanation:

3 0

3 years ago

20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than

EleoNora [17]

Answer:

(a) The equality that express many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy is 2 x + 3.5 y = 42

b)Three different solutions:

x = 14, y = 4 is First Solution.

x = 7, y = 8 is Second Solution.

x = 21, y = 0 is Third Solution.

Step-by-step explanation:

Here, the cost of 1 bottle of paint = $2.00 each

The cost of 1 box of colored pencils = $3.5 each

Let us assume the number of bottle of paints purchased = x

So, the cost of x bottle of paints = x ( Cost of 1 bottle of paint)

= x ($2.00) = 2 x

Also, assume the number of box of colored pencils purchased = y

So, the cost of y box of colored pencils = y ( Cost of 1 box)

= y ($3.50) = 3.5 y

Also, the total amount to be spent on art supplies = $42

So, the total amount spent on x paint bottles + y box of colored pencil

= $42

or, 2 x + 3.5 y = 42

a ) So, the equality that express many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy is 2 x + 3.5 y = 42

b)Three different solutions:

When y = 4 , equation is: 2 x + 3.5(4) = 42

or, 2 x = 42 - 14 = 28, or x = 28/2 = 14

So, x = 14, y = 4 is First Solution.

When y = 8 , equation is: 2 x + 3.5(8) = 42

or, 2 x = 42 - 28 = 14, or x = 14/2 = 7

So, x = 7, y = 8 is Second Solution.

When y = 0 , equation is: 2 x + 3.5(0) = 42

or, 2 x = 42 , or x = 42/2 = 21

So, x = 21, y = 0 is Third Solution.

7 0

3 years ago

Larissa practices for a swimming tournament

scoundrel [369]

Answer:

Larissa takes 59.141 seconds to complete both laps.

Step-by-step explanation:

The complete time is the sum of time taken on each lap. We translate the two statements into mathematical expressions to determine the required output:

(i) <em>She completes her first lap in 31.135 seconds</em>:

$x_{1} = 31.135\,s$

(ii) <em>She completes her second lap 3.129 seconds faster than the first lap</em>:

$x_{2} = x_{1}-3.129\,s$

$x_{2} = 31.135\,s - 3.129\,s$

$x_{2} = 28.006\,s$

Then, the time taken by Larissa to complete both laps is:

$\Delta x = x_{1} + x_{2}$

$\Delta x = 31.135\,s+28.006\,s$

$\Delta x = 59.141\,s$

Larissa takes 59.141 seconds to complete both laps.

4 0

3 years ago

Given the data shown below, which of the following is the best prediction for the number of years it will take for the populatio

aleksley [76]

We will have the following:

Using exponential regression we will have that the line of best fit will be:

$f\mleft(x\mright)=8585.658603*1.399211892^x$

Now, we will have that:

$\begin{gathered} 300000=8585.658603*1.399211892^x\Rightarrow34.94199034=1.399211892^x \\ \\ \Rightarrow x=\frac{ln(34.94199034)}{1.399211892}\Rightarrow x= \end{gathered}$

So, the approximation using linear regression gives us as solution approximately 29.7 years; thus the closest one to match is then

3 0

1 year ago

Match the key features of functions terms to their corresponding definitions.

kenny6666 [7]

The key features of the above given functions are correctly matched to their corresponding definition.

<h3>Definition of terms</h3>

Negative sections of the graph: They are the parts where the graph is below the x-axis. That is option C.

End behaviour: This is what happens to the graph on the far left or far right. That is option E.

Positive sections of the graph: This is the parts where the graph is above the x-axis. That is option D.

Intercepts: This is the points where the graph crosses an axis. That is option B

Relative extrema: This is the points of relative minimum or maximum in a graph. That is option A.

Learn more about graphs here:

brainly.com/question/25799000

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1 year ago