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steposvetlana [31]
3 years ago
8

I need help with this problem​

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

Answer:

Infinitely many solutions

Step-by-step explanation:

Left side:

When you distribute 1/2 to the equation in the parentheses, it will be 3x-3/2.

Right side:

When you distribute 1/4 to the equation in the parentheses, it will be 3x-6/4.

6/4 can be reduced to 3/2 so it'll be 3x-3/2.


This means that the reduced form will be 3x-3/2=3x-3/2


Since the 2 sides have the same equation, there will be infinitely many solutions.

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1. Solve each of the following addition and subtraction problems.
balandron [24]
A. 199

b. -71

c. -2.25

d. 30

e. -18

f. -4

g. 4

h. 7

i. 0
5 0
2 years ago
1. You are given the 3rd and 5th term of an arithmetic sequence. Describe in words how to determine the general term.
kozerog [31]

Step-by-step explanation:

1. In an arithmetic sequence, the general term can be written as

xₙ = y + d(a-1), where xₐ represents the ath term, y is the first value, and d is the common difference.

Given the third term and the fifth term, and knowing that the difference between each term is d, we can say that the 4th term is x₃+d and the fifth term is the fourth term plus d, or (x₃+d)+d =

x₃+2d. =x₅ Given x₃ and x₅, we can subtract x₃ from both sides to get

x₅-x₃ = 2d

divide by 2 to isolate d

(x₅-x₃)/2 = d

This lets us solve for d. Given d, we can say that

x₃ = y+d(2)

subtract 2*d from both sides to isolate the y

x₃ -2*d = y

Therefore, because we know x₃ and d at this point, we can solve for y, letting us plug y and d into our original equation of

xₙ = y + d(a-1)

2.

Given the third and fifth term, with a common ratio of r, we can say that the fourth term is x₃ * r. Then, the fifth term is

x₃* r * r

= x₃*r² = x₅

divide both sides by x₃ to isolate the r²

x₅/x₃ = r²

square root both sides

√(x₅/x₃) = ±r

One thing that is important to note is that we don't know whether r is positive or negative. For example, if x₃ = 4 and x₅ = 16, regardless of whether r is equal to 2 or -2, 4*r² = 16. I will be assuming that r is positive for this question.

Given the common ratio, we can find x₆ as x₅ * r, x₇ as x₅*r², and all the way up to x₁₀ = x₅*r⁵. We don't know the general term, but can still find the tenth term of the sequence

8 0
3 years ago
1/2a + (-3a) - 3b - 0.7a
Anna71 [15]
If you would like to calculate 1/2 * a + (-3 * a) - 3 * b - 0.7 * a, you can do this using the following steps:

1/2 * a + (-3 * a) - 3 * b - 0.7 * a = 0.5 * a - 3 * a - 0.7 * a - 3 * b = - 3.2 * a - 3 * b

The correct result would be - 3.2 * a - 3 * b.
5 0
3 years ago
At D.J.s Drink stand Erika ordered a cup of fruit punch made using 1/4 cup of lemonade 1/12 cup of cranberry juice. What fractio
Zepler [3.9K]

The fraction of the orange juice will be 2/3cup.

Why?

Since there is no additional information, let's assume that the fruit punch is made using just three juice fruits, lemonade juice, cranberry juice and the rest is orange juice.

We can calculate the fraction of the orange juice using the following information:

FruitPunch=\frac{1}{4}Lemonade+\frac{1}{12}Cranberry+Orange\\\\1cup=\frac{1}{4}cup+\frac{1}{12}cup+Orange\\\\1cup-(\frac{1}{4}cup+\frac{1}{12}cup)=Orange\\\\1cup-(\frac{12+4}{4*12})=Orange\\\\Orange=1cup-\frac{16}{48}cup=1cup-\frac{1}{3}cup=\frac{3-1}{3}cup=\frac{2}{3}cup

Hence, we have that the fraction of the orange juice will be 2/3cup.

Have a nice day!

8 0
3 years ago
Greta added 3/6 of a cup of sugar to her cake mix then sprinkled 1/6 of a cup of sugar over the top of the finished which fracti
marta [7]

Answer:

D

Step-by-step explanation:

4/6 reduced is d

7 0
3 years ago
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