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fomenos
3 years ago
11

Simplify the expression​

Mathematics
2 answers:
KonstantinChe [14]3 years ago
7 0

Answer:

9/4

Step-by-step explanation:

5×|-2-7(3)|-2×17

5×|-2-21|-34

5×|-23|-34

5×23-34

115-34=81

22+sq rt(7×28) 28=4×7 sq rt= 2×2×7×7

22+2×7=22+14=36

81÷9/36÷9=9/4

posledela3 years ago
4 0
So the answer is a, now let me tell you why if you need proof

Starting from the top
So take the seven and multiply it to the 3 to get 21 and then subtract the negative two to the negative twenty one so you should have 5 | -23| -2*17 simply the |-23| so it says it’s absolute value which is 23 so you have 5*23 - 2*17, now just go ahead and multiply the 5 and the 23 to get 115 and the 2 to the 17 to get 34, now you should have 115-34, that’s obviously 81
Now for the bottom
22 + √7*28, now you just multiply the 7 to the 28 and you get 196 and the square root of that would be 14 so now you should have 81/22+14 so far, now just add the 22 and 14 to get 36 and simplify the fraction to get 9/4 and that’s A
(if you keep going, you get 2.25)
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A small auditorium can seat 320 people which inequality best reprsents the number of people ,p, who can sit in the auditorium
Jet001 [13]

Answer: The answer is 0\leq p\leq 320.

 

Step-by-step explanation:  Given that in a small auditorium, 320 peoples can sit. The number of peoples who can sit in the auditorium is represented by 'p'.

Since no more that 320 people can sit in the auditorium, so the number of persons who can sit there lies between 0 and 360.

Therefore, the inequalities are

p\geq 0~~~\textup{and}~~~p\leq 360.

Combining both of the above inequalities, we get

0\leq p\leq 360.

Thus, the required inequality is 0\leq p\leq 360..


4 0
3 years ago
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Evaluate the function f(x)=3x-7if x=6
notka56 [123]

Answer:

if x=6, then f(6)=11

8 0
4 years ago
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What is the equation of the line that passes through the points (-3,0.5) and (3,-0.5)
MakcuM [25]

Answer:

y = -1/6x + 0

Step-by-step explanation:

Using the equation of line

y_2 - y_1 / x_2 - x_1 = y - y_1 / x_1

Using the information we are provided with

( -3, 0.5)(3 , -0.5)

y_1 = 0.5

x_1 = -3

x_2 = 3

y_2 = -0.5

-0.5 - 0.5 / 3- (-3) = y - 0.5 / x - (-3)

-0.5 - 0.5 / 3 +3 = y - 0.5 / x + 3

-1 / 6 = y - 0.5 / x + 3

Cross multiply

-1(x + 3) = 6(y - 0.5)

Open the brackets

-x - 3 = 6y - 3

-x - 3 + 3 = 6y

-x + 0 = 6y

Divide through by 6 to get y

Following the eqn y = mx + C

-x + 0 / 6 = 6y / 6

y = -x + 0 / 6

We can separate it

y = -x / 6 + 0/6

y = -1/6x + 0

Therefore, the equation of the line is

y = -1/6x + 0

7 0
3 years ago
According to​ statistics, a person will devote 34 years to sleeping and watching TV. The number of years sleeping will exceed th
Kobotan [32]

Considering the definition of an equation and the way to solve it, a person will devote 28 years watching TV and 6 years sleeping.

<h3 /><h3>Definition of equation</h3>

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

  • When a value that is adding, when passing to the other member of the equation, it will subtract.
  • If a value you are subtracting goes to the other side of the equation by adding.
  • When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.
  • If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

<h3>This case</h3>

Being "x" the number of years watching TV, and knowing that:

  • The number of years sleeping will exceed the number of years watching TV by 22.
  • A person will devote 34 years to sleeping and watching TV.

the equation in this case is:

x + (x+22) =34

Solving:

x + x =34 -22

2x= 12

x= 12 ÷ 2

<u><em>x=6</em></u>

As the number of years sleeping will exceed the number of years watching TV by 22, then<u><em> x +22= 6 +22= 28 years.</em></u>

Finally, a person will devote 28 years watching TV and 6 years sleeping.

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

#SPJ1

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A juice stand uses 11 cups of strawberries to make 6 pitchers of juice. Each pitcher has the same amount of strawberries. What i
qwelly [4]
There is 1.83 cups of strawberries per pitcher

11 \div 6 = 1.8333....
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