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3 years ago

Which is the simplified form of the expression 3(7/5x + 4) - 2(3/2 - 5/4x)

Mathematics

1 answer:

faltersainse [42]3 years ago

6 0

Answer:

Step-by-step explanation:

I think you meant 3([7/5]x + 4) - 2(3/2 - [5/4]x). If that's the case, then identify the LCD: It is 20. Multiply both [7/5]x + 4 and 3/2 - [5/4]x by 20 and then divide the resulting expression by 20:

3(28x + 80) - 2(30 - 25x)

------------------------------------

Next, perform the indicated multiplication:

84x + 240 - 60 + 50x

----------------------------------

This simplifies to:

34x + 180 17x + 9

---------------- = ----------------

20 10

Next time, please share the answer choices.

You might be interested in

A _______ conveys the notion of "or." We use the symbol logical or ∨ to represent a _______.

Aloiza [94]

Answer:

v and or.

Step-by-step explanation:

A ∨conveys the notion of "or". We use the symbol logical ∨ to represent a disjunction.

The "or" in logical lenguage indicates that one thing can happen but another thing also can happen, that is what we call a disjunction. The symbol to represent it is ∨.

The "and" in logical lenguage indicates that a situation is true only if all the statements are true. In other words we see all the statements as needs, not as options, that is called a conjunction. The symbol to represent it is ^.

5 0

3 years ago

A large rectangular movie screen in an IMAX theater has an area of 8,364 square feet. Find the dimensions of the screen if it is

jeyben [28]

Answer:

The dimensions of the screen are

Length:102 feet

Width: 82 feet

Step-by-step explanation:

we know that

The area of the rectangle (movie screen) is equal to

$A=LW$

where

L is the length

W is the width

we have

$A=8,364\ ft^2$

$8,364=LW$ ----> equation A

The screen is 20 feet longer than it is wide.

$L=W+20$ ---> equation B

substitute equation B in equation A

$8,364=(W+20)W$

solve for W

$8,364=W^2+20W\\W^2+20W-8,364=0$

solve the quadratic equation by graphing

the solution is W=82 ft

see the attached figure

Find the value of L

$L=82+20=102\ ft$

therefore

The dimensions of the screen are

Length:102 feet

Width: 82 feet

7 0

3 years ago

I need help please help!

Blababa [14]

Answer:

50.5 m^3

Step-by-step explanation:

Volume of pyramid = 1/3 × base area × height.

Height: 11
Base Dimensions: 4.3 and 3.2

Area of Base:

$4.3 * 3.2$
$13.76$

Next, we multiply 13.76 by 11.

13.76 × 11
151.36

Lastly, divide by 3 and round to nearest tenth.

151.36 ÷ 3
50.453333..
≈ 50.5

Therefore, the answer is 50.5 m^3

4 0

2 years ago

4-(11/3)/4-(2/3)<br> how do i solve this

kirill [66]

Answer: 0.1 or $\frac{1}{10}$

Step-by-step explanation:

$\frac{4-\frac{11}{3} }{4-\frac{2}{3} }$

= $\frac{1}{10}$

6 0

3 years ago

What is statistical power and how would you calculate it?

Natasha_Volkova [10]

Answer:

The statistical power of a hypothesis test is the probability of detecting an effect, if there is a true effect present to detect. Power can be calculated and reported for a completed experiment to comment on the confidence one might have in the conclusions drawn from the results of the study.

I hope it's helpful!

3 0

3 years ago