12 packs of juice cost $3.00 after a 40% discount. Which equation would allow you to find the original price of a 12-pack

Answer :  Option B is correct.

Explanation :

Since we have given that

f(x) = x+1

and

g(x) =x

and when we divide f(x) with g(x) i.e.

[tex]\frac{f(x)}{g(x)}[/tex]

And we know the division algorithm , i.e.

[tex]f(x)=g(x).q(x) +r(x)[/tex],

Where q(x) represents quotient and r(s) denotes remainder

So, we write it in this manner ,

[tex]x+1=x.1+1\\\\\text{Remainder becomes 1}[/tex]

Hence, Remainder = 1

So, Option B is correct.

Step 1

Find the slope of the line M

we have

[tex]5x-3y=2[/tex]

isolate the variable y

[tex]3y=5x-2 \\ \\y=\frac{5}{3}x-\frac{2}{3}[/tex]  

the slope of the line is [tex]\frac{5}{3}[/tex]

Step 2

Find the slope of the line perpendicular to line M

we know that

if two lines are perpendicular , then the product of their slopes are equal to minus one

so

[tex]m1*m2=-1[/tex]

we have

[tex]m1=\frac{5}{3}[/tex]

Find m2

[tex]m2=-1/m1[/tex]

[tex]m2=-1/(5/3)[/tex]

[tex]m2=-\frac{3}{5}[/tex]

therefore

the answer is

[tex]-\frac{3}{5}[/tex]

To solve this problem, we simply have to multiply the original inches of rain to that of how many times it was for the rest of summer. So in this case, simply multiply 2.29 by 3, that is:

2.29 inches * 3 = 6.87 inches

Answer:

6.87 inches

Answer:x + 2y = 6

2y = -x + 6

 y = -1/2 x + 3 so slope = -1/2

parallel lines  has same slope = -1/2

perpendicular lines slope is opposite and reciprocal so slope = 2  

if slope not equal either -1/2 or 2 then neither.

y = -1/2 x - 5 ....m= - 1/2....  parallel

-2x + y = -4

         y = 2x - 4...m = 2 ....perpendicular

-x + 2y = 2

2y = x + 2

y = 1/2 x + 1 ...m = 1/2 ...neither

x + 2y = -2

2y = -x - 2

 y = -1/2 x - 1 ...m = -1/2 .....parallel

To convert from inches to centimeters, the unit fraction used is 2.54 cm/1 in. Therefore, 15 inches is equal to 38.1 centimeters.

To convert a measurement from inches to centimeters, we utilize a unit conversion factor. In this instance, the unit conversion factor we're interested in relates inches to centimeters. One inch is equivalent to 2.54 centimeters. Hence, the unit fraction used for such conversion is 2.54 cm/1 in.

To determine the equivalent value in centimeters for 15 inches, we multiply the number of inches (15) by our unit conversion factor (2.54 cm/1 in). This gives us the following

15 inches * 2.54 cm/1 in = 38.1 cm.

So, 15 inches is equivalent to 38.1 centimeters when converted.

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divide 18 by 3

18 / 3 = 6

 there are 6 girls on the team

The smaller number is 11 and the larger number is 28.

Let's assume the smaller number is 'x'.
The larger number is 17 more than the smaller number, so the larger number can be represented as 'x + 17'.
The sum of the two numbers is 39, so we can set up the equation: x + (x + 17) = 39.
By simplifying the equation, we get 2x + 17 = 39.
Subtracting 17 from both sides gives us 2x = 22.
Dividing both sides by 2 gives us x = 11.
So, the smaller number is 11 and the larger number is 11 + 17 = 28.

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The midpoint is the exact middle of a line segment which divides the line into two equal lengths. Hence, the coordinate of K is (11, 16)

We can obtain the distance between the coordinates of JM thus :

Distance = y2 - y1 ; x2 - x1

Distance = (8 - 5) ; (5 - (-6) = (3, 11)

Hence, the change in the coordinates is (3, 11)

Therefore, the coordinates of K can be obtained thus :

(8 + 3) ;(5 + 11) = (11, 16)

Hence, the coordinate of K is (11, 16)

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To divide (5 1/4)÷(−2 1/2), convert the mixed numbers into improper fractions and then multiply by the reciprocal of the divisor. Simplify the result to get the quotient as -2 1/10.

To divide the given mixed numbers, (5 1/4)÷(−2 1/2), we first convert them into improper fractions.

5 1/4 can be written as (4*5 + 1)/4 = 21/4.

(−2 1/2) can be written as (-2*2 + 1)/2 = -5/2.

Now, we can divide the fractions by multiplying the reciprocal of the divisor: (21/4) * (-2/5) = (-21/4) * (2/5) = -21/10.

Finally, we simplify the result by dividing both the numerator and the denominator by their greatest common factor, which is 1. The simplified result is -21/10, which can be written as -2 1/10 as a mixed number.

I believe this problem has the following clue:

digit in the tens place is the largest number. digit in tenths place is less than the digit located in the hundredths place. the digit in the ones place is greater than the digit in the hundredths place

From this clue, we can say that the number is:

86.23

A. multiplying the function by -1

Multiplying the function by –1 is the  operation flips the graph of a function over the x-axis

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The operation that flips the graph of a function over the x-axis is multiplying the function by -1.

When a function is multiplied by -1, the y-values are negated, which causes the graph to reflect over the x-axis.

if we have a function f(x) = x², the graph will be a parabola that opens upwards.

However, if we multiply this function by -1 to get -f(x) = -x², the graph will be the same parabola reflected over the x-axis and opening downwards.

Hence, Multiplying the function by –1 is the  operation flips the graph of a function over the x-axis

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