how many servings of popcorn are in 5 1/2 cups of each person receives 3/4 cup of popcorn?

Answer:

x=3 y=4

Step-by-step explanation:

   -3x + 5y = 11

+   3x + y = 13

Add the equation (add the 5y and y. Then add the 11 and 13). The threes cancel each other out. It then leaves us with the equation:

6y = 24

Divide both sides by 6 to isolate the variable.

y=4.

Then just substitute the variable into any of the equations above. (I chose the equation on top)

-3x + 5(4) = 11

Then solve

-3x + 20 = 11 (then subtract 20 from both sides)

-3x = -9 (then divide both sides by -3)

x=3

Answer:

y = 3

Step-by-step explanation:

y is inversely proportional to x setup:  y = k/x

'k' is the constant of variation; find this first

7 = k/9

k = 63

now use 'k' to find 'y'

y = 63/21

y = 3

Answer:

5,840 minutes

Step-by-step explanation:

Assuming there are 365 days in a year. If finn brushes his teeth 3 times , for 2 min each time then the time spent to brush his teeth in  a day

=3 * 2 minutes

= 6 minutes

If he flosses twice a day , for 5 minutes each time, then the time spent in a day to floss

= 2 * 5 minutes

= 10 minutes

Hence total time spent in a day brushing and flossing

= 6 + 10

= 16 minutes

Hence the time spent in  a year brushing and flossing

= 16 * 365

= 5,840 minutes

Answer:

M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)

Step-by-step explanation:

We are given that the vertices of quadrilateral MNPQ are M(-3,-2),N(-1,4),P(2,4) and Q(4,-2).

We have to translate the quadrilateral MNPQ using vector <3,-4>

The translate the coordinates of vertices (x,y) using the vector <a,b>  is given by the rule

[tex](x,y)\rightarrow (x+a,y+b)[/tex]

Using the rule

The new coordinates of M

[tex](-3,-2)\rightarrow (-3+3,-4-2)[/tex]

[tex](-3,-2)\rightarrow (0,-6)[/tex]

The new coordinates of N

[tex](-1,4)\rightarrow (2,0)[/tex]

The new coordinates of P

[tex](2,4)\rightarrow (5,0)[/tex]

The new coordinates of Q

[tex](4,-2)\rightarrow (7,-6)[/tex]

Hence, after translation the new vertices of quadrilateral are

M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)

Answer:

x = 4

Step-by-step explanation:

(7 + 2x) / 3 = 5

Cross product

7 + 2x = 5 * 3

7 + 2x = 15

Subtract 7 from both sides

2x = 15 - 7

2x = 8

Divide both sides by 2

x = 8/2

x = 4

Answer:

1=1

2=1

3=1

4=0

5=0

6=0

7=0.

Hope It Helps!

Answer:

[tex]V = 245\frac{1}{3} in^{2}[/tex]

Step-by-step explanation:

The volume of a pyramid is equal to the area of the base times height divded by three so

[tex]V = \frac{A_{base} h }{3} \\V = \frac{(8^{2})(11.5) }{3} \\V = \frac{736}{3} \\V = 245\frac{1}{3} in^{2}[/tex]

Answer:

245 1/3

Step-by-step explanation:

Answer:

Alternate interior angle yes

Answer:

Adult tickets are $24 each and children tickets are $13 each.

Step-by-step explanation:

I know

Answer:

2 11/14

Step-by-step explanation:

First make both of them improper fractions.

therefore,

2 4/7 = 18/7

now simplify.

18/7 × 13/12

18 and 12 get cancelled off as they're multiples of 3 and 6

therefore,

3/7 × 13/2

3× 13 = 39

7×2 = 14

39/14

now make it a proper fraction

2 11/14//

Answer: The dependent variable is the cost, and the independent variable the area of the walls.

Step-by-step explanation:

-Hope this helps <3

Answer:^^^^ what the other person said the dependent variable is the cost and the independent variable is the area of the walls

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Pardon the bad handwriting

Answer:

interestinggggggggggggg

1. (bh)/2 or (4 x 3)/2 = 6

2. (8 x 12)/2 = 48

3. (11.25 x 15.6)/2 = 87.75

4. (9 x 10)/2 = 45

Answer:

396 cm²

Step-by-step explanation:

This may look complex, but it's actually an easy one.

The length of the left hand side is 27 cm, while the length of the right hand side is 9 cm. Subtracting 9 from 27, we have 18 cm

Also, the breadth of the bottom is 24 cm, while the breadth of the top is 10 cm. Subtracting 10 from 24, we have 14 cm.

Now, to find the area, we divide the diagram into 2. Taking the breadth first, we have breadth of 24 cm and it's relatively small height of 9 am.

Area of a rectangle is l * b, = 24 * 9 = 216 cm

Now, we look at the remaining part of the diagram. The length with a height of 18 cm, and a breadth of 10 cm. Area of a rectangle is l * b, = 180 cm

Adding both calculations together, we have 180 + 216 = 396 cm²

Answer:point form= (-10,16)

Equation form : x=-10,y=16

Step-by-step explanation:

Answer:

point form (-10,16) equation Form: x=10,y=16

Step-by-step explanation:

ok so basically i got =2rx8y9

Answer:

126?

Step-by-step explanation:

The value of x from the given equation is 3/5.

The given equation is 75/5 x=9.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

75/5 x=9

⇒ 75x=45

⇒ x=45/75

⇒ x=3/5

Therefore, the value of x from the given equation is 3/5.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

(-5, -1) is not a solution to the equation 2y = 2x - 4.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

2y = 2x - 4 _____(1)

Ordered pair: (-5, -1)

Now,

(-5, -1) = (x, y)

Substitute in (1)

2y = 2x - 4

2 x (-1) = 2 x (-5) - 4

-2 = -10 - 4

-2 = -14

This is not true.

Thus,

(-5, -1) is not a solution.

Learn more about solutions of equations here:

https://brainly.com/question/545403

#SPJ1

Answer:

x=6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5x+4x−68=34−8x

5x+4x+ −68=34+ −8x

(5x+4x)+(−68)=−8x+34(Combine like terms)

9x+−68=−8x+34

9x−68=−8x+34

Step 2: Add 8x to both sides.

9x −68+ 8x= −8x +34 +8x

17x −68 =34

Step 3: Add 68 to both sides.

17x −68 +68= 34 +68

17x=102

Step 4: Divide both sides by 17.

17x /17=  102/17

                                X=6   > final answer hope i could help :)

Step-by-step explanation:

Let's step through this line by line, looking for a spot where the friend could have made a mistake.

[tex]5x+4x-68=34-8x\\5x+4x=102-8x\\5x+4x+8x=102\\17x=102\\x=6[/tex]

So, where could the friend have made their mistake? The key here is the transition from step 1 to step 2. What if we had subtracted 68 instead of adding it?

[tex]5x+4x-68=34-8x\\5x+4x=-34-8x\\5x+4x+8x=-34\\17x=-34\\x=-2[/tex]

There it is. The friend's problem was that they had accidentally subtracted 68 to both sides when they should have added it.