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Archy [21]
3 years ago
9

What is the answer to -2x + 4/3 = 8/3

Mathematics
2 answers:
Greeley [361]3 years ago
7 0

-2x + 4/3 = 8/3

move +4/3 to the other side

sign changes from +4/3 to -4/3

-2x+4/3-4/3= 8/3-4/3

-2x= 4/3

Mutiply both sides by -1/2

-2x(-1/2)= 4/3(-1/2)

Cross out -2 and 2 , divide by -2 then becomes x.

Cross out 4 and -2, divide by 2 and then becomes 2/3*-1/1= -2/3

x= -2/3

Answer: x= -2/3

Readme [11.4K]3 years ago
4 0

Answer:

x=-2/3

Step-by-step explanation:

subtract 4/3 from each side divide by -2

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Which expression is equivalent to -5a + 12b - c + 5a - 7b + 12c after combining like terms?
just olya [345]

Answer:

5b + 12c

Step-by-step explanation:

-5a +5 a = 0

12b-7b = 5b

12c= 12c

therefore you have the expression 5b+12c

4 0
3 years ago
Which choice is equivalent to the expression below?
alekssr [168]

Answer: OPTION A

Step-by-step explanation:

We need to remember that Product of powers property, which states that:

(a^m)(a^n)=a^{(m+n)}

Let's check the options:

A. For 5^9*5^{\frac{9}{10}}*5^{\frac{6}{100}}*5^{\frac{9}{1000}} you can  apply the property mentioned before. Then:

5^{(9+\frac{9}{10}+\frac{6}{100}+\frac{9}{1000})=5^{9.969}

(It is the equivalent expression)

 B. Add the exponents:

 5^9*5^{(\frac{9}{10}+\frac{9}{10}+\frac{6}{1000})=5^{10.806}

(It is not the equivalent expression)

C. For 5^9*5^{\frac{96}{10}}*5^{\frac{9}{100}}} you can  apply the property mentioned before. Then:

 5^{(9+\frac{96}{10}+\frac{9}{100})=5^{18.69}

(It is not the equivalent expression)

D. We know that 5^{9.969}=9,290,347.808 and we maje the addition indicated in this option, we get:

 5^9+5^{\frac{9}{10}}+6^{\frac{6}{100}}=1,953,130.37

(It is not the equivalent expression)

6 0
3 years ago
Read 2 more answers
a bag contains 10 white gold balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio
wolverine [178]

Answer:70 white golf balls and 42 striped golf balls

Step-by-step explanation:

First we find the ratio of white to striped balls

White golf balls = 10

Striped golf balls = 6

Ratio = 10/6 = 5/3

We are told a golfer wants to add extra 112 balls to the already 16 balls

And the ratio after adding 112 balls must stay the same

First we label the extra golf balls to be added x and y

x = white golf balls

y = striped golf balls

So since we know the 112 balls added is a combination of the extra white golf balls and striped golf balls, we create an equation for that, labelling it (1)

x + y = 112 (1)

And we are told that after putting these extra balls the ratio must remain the same, which is 5/3

which will be (10 white balls + x) divided by (6 striped ball + y) will be equals to 5/3

So we create another equation for this, labelling it (2)

(10+x)/(6+y) = 5/3 (2)

So we have two simultaneous equations

We pick (1)

x + y = 112

We either make x or y the subject of formula, I choose to make x the subject of formula, we label the equation (3)

take y to the other side, causing it to change to -y

x = 112 - y (3)

We then work with (2)

(10+x)/(6+y) = 5/3

We cross multiply

3(10+x) = 5(6+y)

We open the brackets

Making the equation simplified and labelling it (4)

30 +3x = 30 + 5y

Collect like terms

3x -5y = 30-30

3x -5y = 0 (4)

Remember from (3) we know that

x = 112 -y

So we put (3) in (4)

3(112 - y) - 5y = 0

Open bracket

336 -3y -5y =0

336 -8y = 0

Transfer -8y to the other side, changing to +8y

336 = 8y

Divide both sides by 8

336/8 = y

42 = y

y = 42

from (3) we know that x equals 112 - y

So we put y = 42 in (3)

x = 112 - y

x = 112 -42 = 70

x = 70

So therefore number of white golfs balls and striped golfs balls to be added to keep the same ratio is 70 and 42 respectively

4 0
3 years ago
Merit works in a florist shop and makes flower arrangements
Vikentia [17]
So what is the question
5 0
3 years ago
You bought a large container of fruit punch. The label on the container says there are 128fluid ounces of fruit punch in the con
Alenkasestr [34]

Answer:

16 cups.

Step-by-step explanation:

We have been given that there are 128 fluid ounces of fruit punch in the container. We are asked to find the cups will be in 128 oz.

We know that 1 cup equals 8 fluid oz. To convert 128 oz into cups, we will divide 128 by 8.

\text{Cups in 128 oz}=\frac{128\text{ oz}}{\frac{8\text{ oz}}{\text{1 cup}}}

\text{Cups in 128 oz}=\frac{128\text{ oz}}{8\text{ oz}}\times \text{1 cup}

\text{Cups in 128 oz}=16\times \text{1 cup}

\text{Cups in 128 oz}=16\text{ cups}

Therefore, there are 16 cups in the container.

5 0
3 years ago
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