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4 years ago

Write your own story problem using mixed numbers. show the solution

2 answers:

6 0

Brian brought cookies to school one day for class. He brought two dozen. His class ate 1 1/2 dozen. How many where left? A: 6 cookies

slega [8]4 years ago

3 0

Answer:

Bryan weighed two pieces of metal for an experiment. The piece of copper weighed $2\frac{4}{5}$ pounds and the piece of zinc weighed $4\frac{3}{5}$ pounds. Calculate the total metal in pounds he used.

Solution:- Weight of copper metal= $2\frac{4}{5}$ pounds

Weight of zinc metal= $4\frac{3}{5}$ pounds

The total weight of the metal he used= $2\frac{4}{5}+4\frac{3}{5}$ pounds

To solve the sum first convert them into like improper fractions

$2\frac{4}{5}\rightarrow\frac{2\times5+4}{5}=\frac{14}{5}$

$4\frac{3}{5}\rightarrow\frac{5\times4+3}{5}=\frac{23}{5}$

Now, The total weight of the metal he used= $\frac{14}{5}+\frac{23}{5}=\frac{37}{5}$ pounds

Ans:- Bryan used $\frac{37}{5}$ pounds of metal.

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Can you find a strategy for splitting any number so that you always get the largest product?

Alex

9514 1404 393

Answer:

split the number into equal pieces

Step-by-step explanation:

Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.

We have to assume that the number being split is positive and all of the parts are positive.

<h3>2 parts</h3>

If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.

<h3>3 parts</h3>

Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...

p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4

This will be maximized where its derivative is zero:

p' = (1/4)(3x^2 -4nx +n^2) = 0

(3x -n)(x -n) = 0 . . . . . . . . . . . . . factor

x = n/3 or n

We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.

<h3>more parts</h3>

A similar development can prove by induction that the parts must all be equal.

6 0

3 years ago

Find the value of x.

VLD [36.1K]

Answer:

do 180-110= 70

Step-by-step explanation:

7 0

3 years ago

Find the cube root<br>13.8

aleksandrvk [35]

Answer:

here is the answer bro. have a nice day

3 0

4 years ago

Can somebody please help me?!! I will give BRAINLIEST!!

Wewaii [24]

Answer:

Step-by-step explanation:

Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is

y = mx + b,

where m is the slope and y is the y-intercept (the value of y when x = 0).

Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:

Rise (-1-(7) = -8 Run = (1 - (-1) = 2

The slope is therefore (-8/2) or -4.

y = -4x + b

We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized

y = -4x + b

-1 = -4(1) + b

b = 3

The straight line equation that connects the two points is

y = -4x + 3

You can graph this equation (e.g., on DESMOS) to see how it intersects the points. <u>[Attached]</u>

The coordinates of the y intercept are (0,3).

5 0

2 years ago

The value from the set {10, 11, 12, 13} that makes the equation 2(x − 5) = 12 true is <br>.

Diano4ka-milaya [45]

Answer:

x = 11

Step-by-step explanation:

2(x - 5) = 12 ← divide both sides by 2

x - 5 = 6 ( add 5 to both sides )

x = 11

4 0

2 years ago

Read 2 more answers