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Alenkasestr [34]
3 years ago
15

Need help ASAP much appreciated

Mathematics
1 answer:
Ilya [14]3 years ago
6 0

Answer:

If the terms on the left hand side of the equals are the same as the terms on the right hand side of the equals, there will be infinite solutions

Step-by-step explanation:

If the terms on the left hand side of the equals are the same as the terms on the right hand side of the equals, there will be infinite solutions

12x+24x +18 = 36x +24 -6

Combining like terms

36x+18 = 36x +18

Subtracting 36x from each side

18 = 18

This is always true so  it does not matter what x is, the left had side will equal the right hand side

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Each of six jars contains the same number of candies. Alice moves half of the candies from the first jar to the second jar. Then
tino4ka555 [31]

Answer:

The number of candies in the sixth jar is 42.

Step-by-step explanation:

Assume that there are <em>x</em> number of candies in each of the six jars.

⇒ After Alice moves half of the candies from the first jar to the second jar, the number of candies in the second jar is:

\text{Number of candies in the 2nd jar}=x+\fracx}{2}=\frac{3}{2}x

⇒ After Boris moves half of the candies from the second jar to the third jar, the number of candies in the third jar is:

\text{Number of candies in the 3rd jar}=x+\frac{3x}{4}=\frac{7}{4}x

⇒ After Clara moves half of the candies from the third jar to the fourth jar, the number of candies in the fourth jar is:

\text{Number of candies in the 4th jar}=x+\frac{7x}{4}=\frac{15}{8}x

⇒ After Dara moves half of the candies from the fourth jar to the fifth jar, the number of candies in the fifth jar is:

\text{Number of candies in the 5th jar}=x+\frac{15x}{16}=\frac{31}{16}x

⇒ After Ed moves half of the candies from the fifth jar to the sixth jar, the number of candies in the sixth jar is:

\text{Number of candies in the 6th jar}=x+\frac{31x}{32}=\frac{63}{32}x

Now, it is provided that at the end, 30 candies are in the fourth jar.

Compute the value of <em>x</em> as follows:

\text{Number of candies in the 4th jar}=40\\\\\frac{15}{8}x=40\\\\x=\frac{40\times 8}{15}\\\\x=\frac{64}{3}

Compute the number of candies in the sixth jar as follows:

\text{Number of candies in the 6th jar}=\frac{63}{32}x\\

                                                    =\frac{63}{32}\times\frac{64}{3}\\\\=21\times2\\\\=42

Thus, the number of candies in the sixth jar is 42.

4 0
3 years ago
7500 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the a
MakcuM [25]

Answer:

It will take 55 years for the account value to reach 38200 dollars

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P.

In this problem, we ahve that:

T = 38200, P = 7500, I = 0.075

So

First we find how much we have to earn in interest.

38200 = E + 7500.

E = 38200 - 7500

E = 30700

How much time to earn this interest?

E = P*I*t

30700 = 7500*0.075*t

t = \frac{30700}{7500*0.075}

t = 54.6

Rounding up

It will take 55 years for the account value to reach 38200 dollars

5 0
3 years ago
Read 2 more answers
Find the area and perimeter.<br> The area is ... and the perimeter is ...
Schach [20]

Answer:

Area: 6a^2

Perimeter: 12a^2

Step-by-step explanation:

To find the area of a triangle, use the formula A=1/2 b*h. The base is 3a^2 and the height is 4a^2.

A= 1/2 (3a^2)(4a^2)

A = 1/2 (12a^4)

A = 6a^4

To find the perimeter of the triangle, add each of the sides of the triangle. The third side, the hypotenuse, can be found using Pythagorean theorem.

a^2+b^2=c^2\\(3a^2)^2+(4a^2)^2 = c^2\\(9a^4)+(16a^4)=c^2\\25a^4=c^2\\5a^2=c

Now add each of the sides: 3a^2 + 4a^2 +5a^2 = 12a^2

7 0
3 years ago
Scores on a Registered Nurse (RN) aptitude exam are normally distributed with a mean of 72 and a standard deviation of 8. What i
Yuri [45]

Answer:

Step-by-step explanation:

Solved using excel

If you were supposed to use a normal table to solve leave a comment

0.0520812794152196

5 0
2 years ago
Help me fast plzzzzzzzzzzz
mario62 [17]

this question is incorrect because the decimal quantity functional persistent shouldnt be in a sequential farfictional order so the answer would be that satisfactory angle of theslop devided by pi and then multiplied by the persistent. hope this helped!

5 0
2 years ago
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