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Ilia_Sergeevich [38]
3 years ago
7

How many solutions does 4(x-1)-x = 3(x+5)-11 have

Mathematics
1 answer:
bonufazy [111]3 years ago
6 0

Answer:

None.

Step-by-step explanation:

4(x-1)-x = 3(x+5)-11

4x-4-x=3x+15-11

we combine like terms.

4x-x-4=3x+14

3x-4=3x+14

we then isolate the variables.

3x-4=3x+14

   +4       +4

3x=3x+18

-3x -3x

0≠18

No solutions

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James invested $300 in a bank account that earns simple interest. He earns $24 at the end of 12 months. James invests $500 at th
NARA [144]

Answer: $40

Step-by-step explanation:

The key formula to use for this problem is the simple interest formula, which is I=prt ; where I is the interest earned, p is the principal (initial) amount, r is the interest rate, and t is the amount of time that passes.

Since we know that both investments have the same interest rate, we can use the information from the first part of the problem to solve for the interest rate. Using algebra, we can rearrange the simple interest formula to solve for the interest rate:  r=I/pt. We know that our interest earned is $24 and our principal amount is $300. To make things easier, we'll also convert months to years, which is easy to do since we know that 12 months = 1 year. This gives us our value for the amount of time that passes. Now, all we have to do is plug in our values into the rearranged equation above.

We should now have: r=\frac{24}{300*1}=0.08

Now, to find the interest earned from the $500 investment, we just need to plug in our values from the second part of the problem, along with our calculated interest rate of 0.08, into the original formula of I=prt

This should result in I=500*0.08*1=40

Therefore, James will receive $40 on his $500 investment after 12 months.

4 0
3 years ago
A converging lens of focal length 5 cm is placed at a distance of 20
lesya [120]

The object should be placed 20/cm from the lens so as to form its real image on the screen

<h3>Mirror equation</h3>

The mirror equation is given according to the expression below;

1/f = 1/u + 1/v

where

f is the focal length

u is the object distance

v is the image distance

Given the following parameters

f = 5cm

v = 20cm

Required

object distance u

Substitute

1/5 = 1/u +1/20

1/u = 1/5-1/20
1/u = 3/20

u = 20/3 cm

Hence the object should be placed 20/cm from the lens so as to form its real image on the screen

Learn more on mirror equation here; brainly.com/question/27924393

#SPJ1

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2 years ago
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Answer:

B i think

Step-by-step explanation:

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3 years ago
4. Use the two patterns below. What are the first four ordered pairs formed from
kobusy [5.1K]

Answer:

0,2,4,8

Step-by-step explanation:

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7 0
3 years ago
Amber is solving this problem.
Serhud [2]

Correct choice is 1,260 and 151,200

The product of 252 and 605 is 152,460

In the choice we have to choose from, one or more numbers have to add up to give a total of 152,460.

The choice is actually 1,260 and 151,200 which gives a total of <u>152</u><u>,</u><u>460</u><u>.</u>

8 0
3 years ago
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