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3 years ago

½ (8x+4) = ¼ (8+16x)

Mathematics

1 answer:

Marina86 [1]3 years ago

7 0

Answer:

Both sides of the equation are equal to each other.

Step-by-step explanation:

½ (8x+4) = ¼ (8+16x)

(1/2*8x) + (1/2*4) = (1/4*8) + (1/4*16x)

4x + 2 = 2 + 4x

(4x - 4x) + 2 = 2 (+ 4x - 4x)

2 = 2

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the price of milk in 2013 was around $3.28 a gallon. This was eight times as much as you would have probably paid for a gallon o

Jlenok [28]

The cost of the milk is $\fbox{\$\,0.41{\text{ a gallon}}}$ in 1950s.

Further explanation:

The price of milk in 2013 was around $\$3.28$ a gallon.

And it is given that this was eight times as much as one can would have probably paid for a gallon of milk in the 1950s.

It is given that the price of milk in 2013 is $\$3.28$ a gallon.

Assume the price of milk in 1950 be $\$x$ a gallon.

Now, given that 8 times of $x$ is the price of milk in 2013.

Therefore, $8x$ is the price of milk in 2013 and also $\$3.28$ is the price of milk in 2013.

Equating $8x$ and $\$3.28$ equal as both are the price of milk in 2013 as,

$\begin{aligned}8x&=3.28\\x&=\frac{{3.28}}{8}\\x&=0.41\\\end{aligned}$

Here, x is the price of milk in 1950.

Therefore, the cost of the milk is $\fbox{\$\,0.41{\text{ a gallon}}}$ in 1950s.

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equations in one variable

Keywords: Cost, gallon, milk, linear equation in one variable, polynomials, variables, real numbers, degree of polynomials, equations, expressions, coefficients, zero polynomial, constants, integers, roots of polynomials.

6 0

3 years ago

Read 2 more answers

How do I solve this Geometry problem?

tia_tia [17]

Answer:

you let other people do it also all in totle is 50,8 oe 3

Step-by-step explanation:

5 0

2 years ago

Tom and same sit down to eat a pie. Tom eats 2/3 of the pie , and sam eats 1/4 of the pie what function of the pie is left

dlinn [17]

If you mean fraction,

Tom: 2/3

Sam: 1/4

Now we change the denominator.

Tom: 6/12

Sam: 3/12

6/12 + 3/12 = 9/12

9/12 can be simplified, so 3/4 of the pie was eaten.

4/4 - 3/4 = 1/4

The answer is 1/4.

5 0

3 years ago

Solve each system by elimination. Check the solution in both of the original equations.

elena55 [62]

Answer:

After finding the solution of given equations by elimination method

-3x-3y=12

-9x+3y=-24

we get the value of x=1 and y= -5

Step-by-step explanation:

$-3x-3y=12$ is eq A

$-9x+3y= -24$ is eq B

To find out value of x and y we will use elimination method

To find value of x add eq A and eq B

$(-3x-3y)+ (-9x+3y)= 12 + (-24)\\-3x-3y-9x+3y= 12-24\\-12x = -12\\dividing \,\,by -12\,\,on\,\, both\,\,sides\\\frac{-12x}{-12} = \frac{-12}{-12} \\x= 1$

Now to find value of y put x=1 in eq A

$(-3 \times 1 )- 3 y=12\\-3 -3y =12\\\\adding\,\,3\,\,on\,\, both\,\,sides\\-3y=12+3\\\\dividing\,\,-3\,\,on\,\,both\,\,sides\\y= \frac{15}{-3} \\y= -5$

so the value of

x= 1

and

y= -5

For checking the solution

putting value of x and y in eq A

$-3x-3y=12\\-3(1)-3 (-5)=12\\-3+15=12\\12=12\\$

Hence proved

Putiing value of x and y in eq B

$-9x+3y= -24\\-9(1) + 3 (-5) = -24\\-9 -15 = -24\\-24= -24\\$

Hence proved

Keywords: Solving Linear System

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6 0

4 years ago

Bruce's taxable income is $30,176. He is filing as single, and he has already paid $4526 in federal taxes. What will he receive

ycow [4]

He will receive $30,641.85 = $30,176 + $465.85 (tax excess payment)

Since his filing status is single, he'll be taxed based on the single tax rate schedule. 10% for $1 to $9,325. 15% for $9,326 to $37,950.

9,325 x 10% = 932.50
30,176 - 9325 = 20,851 x 15% = 3,127.65

His total tax is 3,127.65 + 932.50 = 4,060.15; Since he paid 4,526 in federal taxes, 4,526 - 4,060.15 = 465.85 will be reimbursed.

Add his taxable income and the reimbursement to get the total amount he will receive for that year.

$30,176 + $465.85 = $30,641.85

8 0

4 years ago

Read 2 more answers