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3 years ago

3/4 Multiply 2/7 simplest form

Mathematics

2 answers:

kondaur [170]3 years ago

4 0

Answer: 3/14

Step-by-step explanation:

3 * 2 = 6

4 * 7 = 28

6/28 = 3/14

Darya [45]3 years ago

3 0

Answer:

3/14

Simplified: It's already in its simplified form.

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Give 3 example of real life function with rule of correspondence input and output

Dmitrij [34]

Here are the examples of functions in real life.

1. ATM

If you want to withdraw money from your account, the amount of money dispensed by the machine is the amount you request{input}.As a result, the amount requested is a function of the amount distributed{output}. The machine will never give you more or less than what you asked for.

2.Places you can drive with Two Gallons of Fuel

If you still have two gallons of gas in your car's tank, you can visit several locations before running out of gas. As a result, there could be several answers to this question. In this case, the input is two gallons of fuel, and the output is a list of places you can visit with that amount of fuel.

3. Number of Sodas in a Vending Machine

The number of sodas you get from a vending machine is determined by the amount of money you put into it. If you put the same amount in twice and choose the same soda, you will get the same number of cans as you did the first time. In this case, the number is determined by the amount fed into the machine.

Learn more about functions here:

brainly.com/question/12431044

#SPJ9

4 0

1 year ago

A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the

kramer

Answer:

$18.73ft^3$

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top= $(side)^2=x^2$

Area of one side face= $l\times b=xy$

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box= $V=lbh=x^2y$

Total cost= $9(x^2)+5x^2+4(4xy)=14x^2+16xy$

$204=14x^2+16xy$

$204-14x^2=16xy$

$y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}$

Substitute the values of y

$V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)$

Differentiate w.r.t x

$V'(x)=\frac{1}{8}(102-21x^2)=0$

$V'(x)=0$

$\frac{1}{8}(102-21x^2)=0$

$102-21x^2=0$

$102=21x^2$

$x^2=\frac{102}{21}=4.85$

$x=\sqrt{4.85}=2.2$

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

$V''(x)=\frac{1}{8}(-42x)$

Substitute the value

$V''(2.2)=-\frac{42}{8}(2.2)=-11.55$

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value of x

$y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft$

Greatest volume of box= $x^2y=(2.2)^2\times 3.87=18.73 ft^3$

5 0

4 years ago

You earned $23.10. You would like to buy some new T-shirts. Estimate the number of T-shirts you can buy if each one costs $5.75.

nika2105 [10]

5 shirts and still have 10 cents extra.

7 0

3 years ago

Write a positive or negative integer an increase of $15

slamgirl [31]

Answer:

+15

Step-by-step explanation:

An increase is generally regarded as being positive. If units are dollars, an increase of $15 can be represented by the integer +15.

Additional comment

If units are dimes, then the number would be +150. So, you see, the units are important to know.

It also depends on what is increasing and what is being represented by the integer. If it is an increase in debt, then the change in net worth might be -15.

4 0

3 years ago

Find the surface area of the solid shown or described. If necessary, round to the nearest tenth. Use the formula, write it out,

Mkey [24]

$\bold{ANSWER:}$
163.9 m^2

$\bold{SOLUTION:}$

7 0

2 years ago