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3 years ago

How can I use operations to model real world problems?

1 answer:

5 0

Word problems are the best to model real world problems. Most word problems use real world situations and problems that need a solution that can be solved through operations

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Aiko is selling books for $12 each. She wants to make more than $180 in book sales. The inequality 12b > 180 can be used to d

EastWind [94]

500 is the awnser experience

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3 years ago

Using the data below, what is the equation for the line of best fit? Remember, put your answer in y = ax + b form and round any

ipn [44]

We are using a tool that determines the best fit line of the data points given. best fit line is projected to have the minimum standard deviation from the points.
Using the tool, the results are

Best-fit values
Slope-0.002667 ± 0.0006013
Y-intercept6.475 ± 1.112
X-intercept2428
1/Slope-375.0

Translating these results,

y = -0.00266 x + 6.475

5 0

3 years ago

Lydia baked a total of 144 chocolate chip cookies and peanut butter treats for Valentine's Day. Initially, the ratio of chocolat

andre [41]

Let $x$ be the chocolate chip cookies, so the peanut butter treats will be $144-x$ .
We know that the cookies and the treats are in a ratio of 5:3, so: $\frac{cookies}{treats} = \frac{5}{3} = \frac{x}{144-x}$
Now we can solve for $x$ :
$\frac{5}{3} = \frac{x}{144-x}$
$5(144-x)=3x$
$720-5x=3x$
$8x=720$
$x= \frac{720}{8}$
$x=90$

We now know Lydia has 90 chocolate chip cookies, and $144-x=144-90=54$ peanut butter treats.

Then, Lydia's friend ate $\frac{3}{5}$ of her cookies, so her friend ate $\frac{2}{5} (90)=36$ cookies. Therefore, Lydia has $90-36=54$ cookies left.
Now we can calculate the total amount of baked goods after her friend ate the cookies:
$144-54=90$
Therefore, our remainder treats will be:
$90-x$

We also now that after her friend ate 54 cookies and some treats, the new ratio is 6:1, and that's all we need to set up our new equation and solve it to find how many treats she ate:
$\frac{cookies}{treats} = \frac{6}{1} = \frac{54}{90-x}$
$6(90-x)=54$
$540-6x=54$
$6x=486$
$x= \frac{486}{6}$
$x=81$

Finally, if she ate 81 out 90 treats, we can conclude the Lydia has left with 9 peanut butter treats.

3 0

4 years ago

Read 2 more answers

Use 3.14 for .Jenna is planting four circular gardens. She is planting one garden each for tomatoes, carrots, cabbage, and straw

Llana [10]

Um I assume you're wanting the circumferences of the fences so we have 3 that are all the same size and one that is 3 times as large as any of the others

so here's our equations

3x+y=113.04

y=3x

use substitution

3x+3x=113.04

6x= 113.04

now the question says use 3.14 so I'm thinking you want the answer in terms of pi so first divide 113.04 by 3.14

6x=36pi

x=6pi now substitute that back in for x in one of your equations

y=(3)(6pi)

y=18pi

so the tomatoes carrots and cabbage will all have a circumference of 6pi and the strawberries 18pi

7 0

3 years ago

Evaluate 11 to the 2nd power

lions [1.4K]

121)

11 times itself.

6 0

3 years ago