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Leni [432]
3 years ago
11

If z is a positive integer, does 4+3(2z-5) represent a number that is greater than, less than, or equal to 2(3z-4)?

Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0

Let us plug in 1 for z. Now we can solve both expressions. 4+3(2x1-5) and 2(3x1-4) and we get that the first expression is equal to -5, and the second expression is equal to -2. So the expression 4+3(2z-5) represents a number that is less than 2(3z-4).

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It’s a review please HELP ASAP I’ve been stuck on it for awhile now
AlladinOne [14]
<h3>Answer:   7 goes in the blank space</h3>

The range of values for x is 2 < x < 7

========================================

Explanation:

The hinge theorem says that the larger the opposite side is, the larger the angle will be.

AD = 11, DC = 8

Since AD > DC, this means angle ABD > angle DBC.

--------

angle ABD > angle DBC

20 > 4x-8

20+8 > 4x-8+8 ... add 8 to both sides

28 > 4x

4x < 28 ... flip both sides and the inequality sign

4x/4 < 28/4 ... divide both sides by 4

x < 7

--------

At the same time, the angle 4x-8 cannot be 0 or negative.

So we say 4x-8 > 0. Let's solve this for x.

4x-8 > 0

4x-8+8 > 0+8 ... add 8 to both sides

4x > 8

4x/4 > 8/4 ... divide both sides by 4

x > 2

2 < x ... flip both sides and the inequality sign

--------

We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7

We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.

6 0
3 years ago
Each lap around the track is 400 meters. How many meters does someone run if they run 5 laps?
Luda [366]

Answer:

2000 meters

Step-by-step explanation:

400×5=2000

4 0
3 years ago
8* x + y + y; use x=9, and y = 10​
katrin [286]

Answer:

92

Step-by-step explanation:

8* x + y + y

Where

x=9, and y = 10​

Solution=8×9+10+10

=72+20

=92.

So the answer is 92

8 0
3 years ago
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svetoff [14.1K]
You have to find the area of each face and add them all together. You also need to find the unknown side which is indicated in the picture i attached.
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5 0
3 years ago
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What’s the answer to this, only if u know thanks!’
VladimirAG [237]

Answer:

120+(10+2x)=180

10+2x=60

2x=50

x=25degreeeee

Step-by-step explanation:

follow me in this app for more

7 0
3 years ago
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