The difference between -2 2/3 and -3/8

Spencer bought 5 1/2 pounds of potatoes and 3 3/4 pounds of tomatoes to make stew.

Advocard [28]

Answer:

9 1/4 pounds because you add the two fractions together

6 0

4 years ago

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Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard.

djverab [1.8K]

Answer:

Step-by-step explanation:

Find the complete question

Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below.

Which is Zelie’s error?

Zelie should have divided both numbers by 14.

Zelie should have written the ratio as 28/7.

Zelie should have written the ratio as 14/8.

Zelie should have subtracted 14 from both numbers.

Original length of pool = 28ft

If he found that it need to be 14ft longer then the actual measure = 14th

given equation is;

(28 - 7)/14 - 7 = 14/7

Scale constant = original length/actual length

Scale constant = 28/14

Scale constant = 2

Hence the scale constant is 2

According to the option, Zelei should have divided both numbers by 14.

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4 years ago

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Go to your math tools and open the Graph tool to graph Gwen's and Tristan's equations. Hint: To create the graph, select the cor

poizon [28]

Answer:

Step-by-step explanation: when you first open the graphing tool you have to click relationship and choose custom. put in gwen’s equations (y=100+10x) then go to relationship and choose custom again and put in tristan’s equation (y=12.5)

also click on the settings button at the bottom of the graph and put the x axis to -100 min and 100 max and for y axis put -1000 min and 1000 max or you could choose your own numbers but thats just what i put

4 0

3 years ago

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What are the roots of the polynomial equation x^3-5x+5=2x^2-5? Use a graphing calculator and a system of equations. Round nonint

leonid [27]

The right answer is c. –2.24, 2, 2.24

This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.

1. Using a graphing calculator.

We have the following polynomial equation:

$x^3-5x+5=2x^2-5$

By ordering this equation we have:

$x^3-2x^2-5x+10=0$

So, we can say that this equation comes from a function given by:

$f(x)=x^3-2x^2-5x+10$

Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of $f(x)$ which are:

$x_{1}=-2.236 \\ \\ x_{2}=2 \\ \\ x_{3}=2.236$

Finally, rounding noninteger roots to the nearest hundredth we have:

$\boxed{Root_{1}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=2.24}$

2. Using a system of equations.

The ordered equation is:

$x^3-2x^2-5x+10=0$

By arranging to factor out we have:

$x^3-5x-2x^2+10=0$

Then, by factoring:

$x(x^2-5)-2(x^2-5)=0$

Term $(x^2-5)$ is a common factor, thus:

$(x-2)(x^2-5)=0 \\ \\ (x-2)(x-\sqrt{5})(x+\sqrt{5})=0 \\ \\ Finally: \\ \\ \boxed{Root_{1}=-\sqrt{5}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=\sqrt{5}=2.24}$

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4 years ago

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Jace invested $380 in an account paying an interest rate of 6.2% compounded continuously. Assuming no deposits or withdrawals ar

SOVA2 [1]

Answer: 960

Step-by-step explanation:

5 0

3 years ago