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garri49 [273]
3 years ago
11

Solve: -3= 12x-5(2x-7)

Mathematics
1 answer:
leonid [27]3 years ago
7 0

Answer:

x = -19

Step-by-step explanation:

-3= 12x-5(2x-7)

Distribute

-3= 12x-10x+35

Combine like terms

-3 = 2x +35

Subtract 35 from each side

-3-35 = 2x+35-35

-38 = 2x

Divide each side by 2

-38/2 = 2x/2

-19 =x

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A theme park had 1099 visitors in 3 days.There were twice as many visitors on saturday than on Friday.There were 234 more visito
Blababa [14]

Answer: there were 692 visitors on Saturday.

Step-by-step explanation:

Let x represent the number of visitors that were there on Friday.

Let y represent the number of visitors that were there on Saturday.

Let z represent the number of visitors that were there on Sunday.

The theme park had 1099 visitors in 3 days. It means that

x + y + z = 1099- - - - - - - - - - - - - -1

There were twice as many visitors on saturday than on Friday. This means that

y = 2x

x = y/2

There were 234 more visitors on Sunday than on Saturday. This means that

z = y + 234

Substituting x = y/2 and z = y + 234 into equation 1, it becomes

y/2 + y + y + 234 = 1099

Cross multiplying by 2, it becomes

y + 2y + 2y + 468 = 2198

5y = 2198 - 468

5y = 1730

x = 1730/5

x = 346

y = 2x = 2 × 346

y = 692

z = y + 234 = 692 + 234

z = 926

3 0
3 years ago
With compound interest, what happens when you start compounding more and more frequently?
VLD [36.1K]
Your money grows faster because the interest is added back into the principle and then the next time it compounds you get interest on the new principle amount.  So for example, you deposit $100 in an account that gets 5% interest compounded semiannually. The first time it compounds you get $5 added to your account so your new balance is $105.  The next time it compounds you get 5% on $105 so you get $5.25 added and so on.  If this is only happening semi-annually that would be all you get for the year.  But if it happens quarterly you would get would get deposits of $5.51 and $5.79 as well.  If it compounds monthly or even daily your money would grow more and more.  Hope this helps.
7 0
3 years ago
The teacher asked 4 students to measure 4 different objects. The table shown represents their measurements. Which student had th
Maru [420]

Student 4 has the largest percent error.

Step-by-step explanation:

The percent error of a measurement is given by

p=\frac{|x-x_{true}|}{x_{true}}\cdot 100

where

x is the value of the measurement

x_{true} is the actual value

For student 1:

x=49\\x_{true}=50

Percent error:

p=\frac{|49-50|}{50}\cdot 100=0.02\cdot 100=2\%

For student 2:

x=25.5\\x_{true}=25

Percent error:

p=\frac{|25.5-25|}{25.5}\cdot 100=0.0196\cdot 100 = 1.96\%

For student 3:

x=7.5\\x_{true}=8

Percent error:

p=\frac{|7.5-8|}{8}\cdot 100=0.0625\cdot 100 = 6.25\%

For student 4:

x=2.1\\x_{true}=1.6

Percent error:

p=\frac{|2.1-1.6|}{1.6}\cdot 100=0.3125\cdot 100 = 31.25\%

So, student 4 has the largest percent error.

Learn more about errors:

brainly.com/question/2764830

#LearnwithBrainly

4 0
3 years ago
Paula spent 3/8 of her allowance on clothes and 1/6 on entertainment what fraction of her allowance did she spend on other items
Alexandra [31]
3/8=9/24 and 1/6=4/24
9/24+4/24=13/24
Paula spent 13/24 of her allowance on other items.
8 0
3 years ago
Read 2 more answers
Can anyone help me out in my homework. I would love to talk about these problems ​
katen-ka-za [31]

Step-by-step explanation:

(b) If F_G = m_1g, then

m_1g = G\dfrac{m_1m_2}{r^2}

Note that m_1 cancel out so we get

g = G\dfrac{m_2}{r^2}

Solving for m_2, we get

m_2 = \dfrac{gr^2}{G}

(c) I'm not sure what the problem is asking for but here goes. As r doubles, F_G becomes

F_G = G\dfrac{m_1m_2}{(2r)^2} = \dfrac{1}{4}\left(G\dfrac{m_1m_2}{r^2}\right)

5 0
3 years ago
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