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kkurt [141]
2 years ago
11

Fiona solved the equation shown. – StartFraction 1 Over 2 EndFraction minus StartFraction 1 Over 3 EndFraction left-parenthesis

6 x minus 3 right-parenthesis equals negative StartFraction 13 Over 2 EndFraction.(6x – 3) = – A table titled Fiona's Solution with 3 columns and 5 rows. The first row is, blank, Steps, Resulting equation. The second row has the entries, 1, Use the distributive property to simplify. StartFraction one-half minus 2 x plus 1 equals negative StartFraction 13 Over 2 EndFraction. The third row has the entries, 2, blank, StartFraction 3 Over 2 minus 2 x equals negative StartFraction 13 Over 2 EndFraction. The fourth row has the entries, 3, Isolate the variable expression by using the addition property of equality, negative 2 x equals negative 8. The fifth row has the entries, 4, Isolate the variable by using the division property of equality, x equals 4. What is the missing step of her solution? Simplify by combining like terms. Simplify by using addition property of equality. Simplify by using the multiplication property of equality. Simplify by using the division property of equality.

Mathematics
2 answers:
LenKa [72]2 years ago
7 0

Answer:

A

Step-by-step explanation:

Anit [1.1K]2 years ago
5 0

Answer:

Simplify by combining like terms

Step-by-step explanation:

She transforms

1/2 - 2x + 1 = -13/2

into

3/2 - 2x = -13/2

combining the terms 1/2 and +1 to get 3/2. Combining like terms is a very common step while solving an equation which allows us to simplify the expressions and is generally made before isolating the variable step.

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An alloy is composed of nickel, zinc, and copper in a 7:2:9 ratio. How many kilograms of each metal is needed to make 3.8 kg of
Tamiku [17]
Ni : Zn: Cu = 7:2:9 =7x : 2x : 9x

7x+2x+9x = 3.8
18x=3.8
x=3.8/18=1.9/9≈0.21

Ni:   7x=7*0.21=1.47 ≈1.5 kg
Zn:  2x=2*0.21=0.42≈0.4 kg
Cu: 9x=9*0.21=1.89 ≈1.9 kg

Check 1.5+0.4+1.9 =3.8 True
6 0
2 years ago
Which expanded expressions represent the exponential expression (–4)3 · p4? Select all that apply. (–4) · (–4) · (–4) · (–4) · p
Alexxx [7]

Answer:

(-4)(-4)(-4)(p)(p)(p)(p)

Step-by-step explanation:

= (-4)^3 * p^4

The expanded form of it is:

= (-4)(-4)(-4)(p)(p)(p)(p)

4 0
2 years ago
Read 2 more answers
A population of 550 rabbits is increasing by 7.5% each year. in about how many years will the population be over 1000?
Furkat [3]

I believe this would take the form of an exponential equation:

A = Ao (1 + r)^t

where A is final population, Ao is initial population, r is rate of growth and t is time

 

A / Ao = (1 + r)^t

log A / Ao = t log (1 + r)

t = (log A / Ao) / log (1 + r)

t = [log (1000 / 550)] / log (1.075)

t = 8.27 years

 

SO the answer is B) about 9 years

5 0
2 years ago
Members of the pep club were selling raffle tickets for $1.50 and $5. The number of $1.50 tickets sold was two less than four ti
marysya [2.9K]

Answer:

see below

Step-by-step explanation:

1.5x + 5y = 1152    

x = 4y – 2

We can substitute the second equation into the first equation

Which one-variable linear equation can be formed using the substitution method?

1.5(4y-2) +5y = 1152  

Distribute

6y -3 +5y = 1152

Combine like terms

11y-3 = 1152

Add 3 to each side

11y-3+3 = 1152+3

11y = 1155

Divide each side by 11

11y/11 = 1155/11

y = 105

How many $5 raffle tickets were sold?

105 5 dollar tickets were sold

Now we need to find the number of 1.50 tickets

Which equation can be used to determine how many $1.50 raffle tickets were sold?

x = 4y – 2

x = 4(105) -2

   =420-2

   = 418

How many $1.50 raffle tickets were sold?

418    $1.50 tickets were sold

3 0
2 years ago
Read 2 more answers
At a snack stand,drinks are $1.50. Write an expression that could be used to find the total cost in dollars of d drinks?
Mashcka [7]
1.50d is the right answer since we don't know how many drinks there are
4 0
2 years ago
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