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I am Lyosha [343]
3 years ago
11

2z-1/3- 3z+1/5=1 z=? Have a good Earth day!

Mathematics
1 answer:
IgorC [24]3 years ago
6 0

Answer:

Z=23

Step-by-step explanation:

Multiply both sides of the equation by 15, the least common multiple of 3,5.

Use the distributive property to multiply 5 by 2z−1.

Use the distributive property to multiply −3 by 3z+1.

Combine 10z and −9z to get z.

Subtract 3 from −5 to get −8.

Add 8 to both sides.

Add 15 and 8 to get 23.

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The greater of is 7 more than the lesser. three times the greater number is 5 more than r4 times the lesser number. Find the num
Ilya [14]
<h2>Steps:</h2>

(Let x = greater number and y = lesser number)

So this question is asking us for a system of equations. Using the info they provide, we can form these two equations:

x=y+7\ \textsf{("The greater of the numbers is 7 more than the lesser.")}\\3x=4y+5\ \textsf{("Three times the greater number is 5 more than 4 times the lesser number.")}

So for this, we will be using the substitution method. Since we know that x = y + 7, substitute x with (y + 7) in the second equation as such:

3(y+7)=4y+5

From here we can solve for y. Firstly, distribute 3 so that it multiplies with y and 7:

3y+21=4y+5

Next, subtract 3y on both sides of the equation:

21=y+5

Lastly, subtract 5 on both sides of the equation:

16=y

Now that we know the value of y, we can substitute it into either equation to solve for x:

x=16+7\\x=23\\\\3x=4(16)+5\\3x=64+5\\3x=69\\x=23

<h2>Answer:</h2>

<u>In short, 16 is the lesser number and 23 is the greater number.</u>

8 0
3 years ago
17/6 + 4/3 fractions
polet [3.4K]

Answer:

25/6

Step-by-step explanation:

I multiplied 4/3 by 2, so the new fraction is 8/6. You add 17/6 with 8/6, and you get 25/6. I hope you understand.

8 0
3 years ago
Find the sale price to the nearest hundredth. $129.40 rocking horse, 15% off *
insens350 [35]

Answer:

$109.99

Step-by-step explanation:

you first multiply 15 by 129.40, divide your product by 100, then you subtract your quotient by 129.40 to get the final price of how much the rocking horse will cost if its 15% off.

6 0
3 years ago
A tennis player keeps track of the number of successful first serves he makes. During the first 8 service points of a game, only
Andru [333]

Answer:

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

Step-by-step explanation:

After n consecutive serves, his total number of serves is going to be n+8, since he has already served 8 times. In the best case, his number of successful first serves is n+2.

His percentage of succesful first serves is the division of the number of succesful first serves divided by the total number of serves. So

P = \frac{n+2}{n+8}

We want P = 0.60. So

0.6 = \frac{n+2}{n+8}

n+2 = 0.6*(n+8)

n + 2 = 0.6n + 4.8

n - 0.6n = 4.8 - 2

0.4n = 2.8

n = \frac{2.8}{0.4}

n = 7

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

5 0
3 years ago
Give me the example of 4 * 10 to the second power
masha68 [24]
Ok it would be


4x100=400

8 0
3 years ago
Read 2 more answers
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