3 The lyy Hill Sunshine Club collected 524 cans for a canned food drive. The cans were then split up equally into 8 boxes. (a) Part A How many cans were in each box? Part B How many cans were left over after the boxes were filled? (b) А 65.5 cans < NEXT​

Complete Question:

Let x and y be positive integers and x be greater than y.

11x/11y = ?

Answer:

11x/11y = x/y

Step-by-step explanation:

Given

x > y

Required

11x/11y

From the question, we understand that x is greater than y (i.e. x > y)

Also, we'll assume that y ≠ 0, in other not to result in an undefined result.

So,

11x/11y

Divide the numerator and denominator by 11

(11x ÷ 11)/(11y ÷ 11)

The result of the division is:

(x)/(y)

x/y

Hence,

11x/11y = x/y for x > y and y ≠ 0

Answer:

x = -17

Step-by-step explanation:

y - y1 = m(x - x1)

y - 3 = 1/5(x - (-2))

y - 3 = 1/5(x + 2)

y - 3 = 1/5x + 0.4

y = 1/5x + 0.4 + 3

y = 1/5x + 3.4

Now we plug in y as 0 to find x

y = 1/5x + 3.4

(0) = 1/5x + 3.4

-3.4 = 1/5x + 3.4 - 3.4

-3.4 = 1/5x times 5

-3.4 times 5 = x

-17 = x

Answer:

Step-by-step explanation:

If we know the slope, we can solve for an unknown coordinate. First, let's review how to calculate slope.

Slope = Rise/Run (Change in y/Change in x)

In this case, we know the slope, so we will write out the slope formula. We will use the substitution method to solve this.

m = rise/run

rise = y2- y1 substituting ----> 3 - 0 = 3

run = x2 - x1 substituting ----> -2 - x = run

Now, we can return to the slope formula, as we now have enough information to solve.

1/5 = 3/R

To solve, we simply need to find the equivalent fraction of 1/5. We will use a proportion.

1R = 5 x 3

R = 15

Now that we know R, we can substitute it into the equation for run.

So, we now have:

15 = -2 - x

Subtracting -2 from both sides, gives us x = -17.

Finally, we must check our answer to make sure we are getting the correct slope when we calculate.

m = (3 - 0)/(-2 - -17)

m = 3/15 OR 1/5

Since. this matches the original slope we were given, we can be sure the answer is correct.

Answer:

x can be divided by 2,3,4,5,6

2 can be divided by 4, so is 3 to 6

so simply x can be divided by 4,5,6

4*5*6=120

Step-by-step explanation:

Answer:

x = 19.8

Step-by-step explanation:

5x - 9 = 90

5x = 90 + 9

5x = 99

x = 19.8

Hope this helped!

Answer:

19.8

Step-by-step explanation:

5x-9=90

Cancel the 9 on both sides, so you get:

5x=90+9

5x=99

x= 19.8

Step-by-step explanation:

The factor of the polynomial is (x-2)

We know that dividing a third degree polynomial by a first degree factor will yield a quadratic of the form ax²+bx+c and possibly a remainder r,except that in this case r=0 since x-2 is a factor

We therefore equate

x³-4x²+3x+2=(x-2)(ax²+bx+c)+r

x³-4x²+3x+2=ax³+bx²+cx-2ax²-2bx-2c+r

We group terms on the RHS

x³-4x²+3x+2=ax³+x²(b-2a)+x(c-2b)-2c+r

By equating the terms on both sides,

ax³=x³,a=1

Next,

b-2a=-4

b-2(1)=-4

b-2=-4

b=-4+2

b=-2

Next,

c-2b=3

c-2(-2)=3

c+4=3

c=-1

Now we piece together our quotient quadratic using a=1,b=-2,c=-1 to obtain x²-2x-1

We now find the zeros of x²-2x-1

which are 1+√2 and 1-√2

The values of x are therefore 2,1+√2, and 1-√2

Note that I used this method in lieu of the famous polynomial division approach to teach someone also ;)

Answer:

2, 1 +/- sqrt2

or 2, 2.414, -0.414 (correct to the nearest thousandth).

Step-by-step explanation:

Let x = 2: then

f(2) = 8 - 16 + 6 + 2 = 0

So x = 2 is one  of the zeros.

So one factor of the function is x-2.

If we divide  the function by  (x - 2) we get:

x-2)X^3-4x^2+3x+2(x^2-2x-1

     x^3- 2x^2

            -2x^2+3x

            -2x^2+4x

                       -x+2

                       -x+2

                        .......

So x^2-2x-1= 0

x = [-(-2 +/- sqrt(4 - 4*-1)] / 2

x = (2 +/- sqrt8) / 2

= 1 +/-sqrt8/2

= 1 +/- sqrt2

Answer:

Step-by-step explanation:

Given equation

Solving for b:

Answer:

b = ±√(c² - a²)

Step-by-step explanation:

We have to get the value of B.

Step 1: (b squared = c squared - a squared)

b² = c² - a²

Step 2: (cube root of b squared = cube root of c squared and a squared)

√b² = √(c² - a²)

We get the answer as:

b = ±√(c² - a²)

Answer:

The first one is not. The second one is. The third one is. The fourth one is not. The fifth one is not. The sixth one is.

Step-by-step explanation:

Answer: First one, no? I'm not sure its been a while

Step-by-step explanation:

Answer:

315

Step-by-step explanation:

The sum of -265 and -156:

-265 + (-156)

= -265-156

= -421

The sum of 356 and -250:

356 + (-250)

= 356-250

= 106

The sum of both:

-421 + 106

= -315

Hope this helped!

Answer:

[tex]y = 14x + 3400[/tex]

Step-by-step explanation:

Represent

- number of jackets with x

- costs of jackets with y

So, we have:

[tex](x_1,y_1) = (150,5500)[/tex]

[tex](x_2,y_2) = (370,8580)[/tex]

Required

Write an equation in form of y = mx + b

First, we need to determine the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8580 - 5500}{370 - 150}[/tex]

[tex]m = \frac{3080}{220}[/tex]

[tex]m = 14\\[/tex]

The equation is calculated using:

[tex]y-y_1 = m(x - x_1)[/tex]

Where

[tex]m = 14\\[/tex]

[tex](x_1,y_1) = (150,5500)[/tex]

So, we have:

[tex]y - 5500 = 14(x - 150)[/tex]

[tex]y - 5500 = 14x - 2100[/tex]

Make y the subject

[tex]y = 14x - 2100 + 5500[/tex]

[tex]y = 14x + 3400[/tex]

Answer:[tex] \huge{ \boxed{ \bold{ \tt{ x = - 2}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 6x + 13 = - 5(7 + 6x) }[/tex]

Distribute -5 through the parentheses

[tex]\longrightarrow{ \sf{ - 6x + 13 =  - 5 \times 7  + ( - 5 )\times 6x}}[/tex]

[tex]\longrightarrow{ \sf{ - 6x  + 13 =  - 35 + ( - 30x)}}[/tex]

[tex] \text{Remember} : \sf{( + ) \times ( - ) = ( - )}[/tex]

[tex]\longrightarrow{ \sf{ - 6x + 13 =  - 35 - 30x}}[/tex]

Move 30x to left hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 6x + 30x + 13 = - 35}}[/tex]

Move 13 to R.H.S ( Right Hand Side ) and change it's sign[tex] \longrightarrow{ \sf{ - 6x + 30x= - 35 - 13}}[/tex]

Combine like terms

[tex] \longrightarrow{ \sf{24x = - 35 - 13}}[/tex]

The negative integers are always added but posses the negative ( - ) sign.[tex] \longrightarrow{ \sf{24x = - 48 }}[/tex]

Divide both sides by 24

[tex] \longrightarrow{ \sf{ \frac{24x}{24} = \frac{ - 48}{24}}} [/tex]

Dividing a negative integer by a positive integers gives a negative integer.

[tex]\longrightarrow{\sf{x = -2 }}[/tex]

-----------------------------------------------------

L.H.S = -6x + 13

Plug the value of x and simplify

[tex] \longrightarrow{ \sf{ - 6 \times ( - 2) + 13}}[/tex]

Multiplying negative integers by a negative integer gives a positive integer.

[tex] \longrightarrow{ \sf{ 12 + 13}}[/tex]

Add the numbers : 12 and 13

[tex] \longrightarrow{ \sf{25}}[/tex]

R.H.S = -5 ( 7 + 6x )

plug the value of x and simplify

[tex] \longrightarrow{ \sf{ - 5(7 + 6 \times ( - 2)}})[/tex]

Multiplying a positive integer by any negative integer gives a negative integer.

[tex] \longrightarrow{ \sf - 5(7 + ( - 12)}[/tex]

[tex]\longrightarrow{\sf{-5(7 - 12)}}[/tex]

Subtract 12 from 7

[tex] \longrightarrow{ \sf{ - 5 \times ( - 5)}}[/tex]

[tex]\longrightarrow{\sf{25}}[/tex]

L.H.S = R.H.S

The value of x is -2 .

Hope I helped!

Best regards!

~TheAnimeGirl

Answer:

Width = 3 inch and length = 6 inch

Step-by-step explanation:

The width of a frame = x

A frame 3-in longer than it was wide. Length = 3+x

Area of the frame = 18 sq inch

We need to find the the dimensions of the length and width of the frame Zach purchased,

Area of a rectangle is given by : A = lb

[tex]x(3+x)=18\\\\x^2+3x-18=0\\\\x^2+6x-3x-18=0\\\\x(x+6)-3(x+6)=0\\\\x=-6,3[/tex]

Neglecting negative value

Width = 3 inch

Length = 3 + 3 = 6 inch

Hence, the dimensions of the length and width of the frame is 6 inch and 3 inch respectively.

Answer:

0. 3

1. 1

2. -1

3. -3

4. -5

y- intercept is 3 then remember rise over run for the slope

Answer:

x = 10

Step-by-step explanation:

x = 4 + (4x-4) ^ (1/2)

First, we rewrite the expression:

x = 4 + (4x-4) ^ (1/2)

x = 2 (2+ (x-1) ^ (1/2))

x = 4 + 2 (x-1) ^ (1/2)

From here we get a solution for x = 10

To check it we substitute x = 10 in the expression:

10 = 4 + 2 (10-1) ^ (1/2)

10 = 4 + 2 (9) ^ (1/2)

10 = 4 + 2 (3)

10 = 4 + 6

10 = 10

Answer:

The solution is:

x = 10

Answer:

C. x = 10

Step-by-step explanation:

edgen 2020

Answer:

This problem wants you to substitute the answers from the table into the equation to find the solution, which is when the input gives the same output basically.

f(x) = 2.5x -10.5                          g(x) = 64(0.5)^x

when x= 2...                                when x= 2...

f(2) = 2.5(2) - 10.5                        g(2) = 64(0.5)^2

f(2) = 5 - 10.5 = -5.5                     g(2) = 64(.25)= 16

when x= 3...                                 when x= 3...

f(3) = 2.5(3) - 10.5                         g(3) = 64(0.5)^3

f(3) = 7.5 - 10.5 = -3                      g(3) = 64(0.125) =8

when x= 4...                               when x = 4...

f(4) = 2.5(4) - 10.5                       g(4) = 64(0.5)^4

f(4) = 10 - 10.5 = -0.5                  g(4) = 64(0.0625) = 4

when x= 5...                               when x= 5...

f(5) = 2.5(5) - 10.5                      g(5) = 64(0.5)^5

f(5) = 12.5 - 10.5 = 2                   g(5) = 64(0.03125) = 2

when x= 6...                               when x = 6...

f(6) = 2.5(6) - 10.5                       g(6) = 64(0.5)^6

f(6) = 15 - 10.5 = 4.5                   g(6) = 64(0.015625) = 1

Answer:

17.6 minutes

Step-by-step explanation:

[tex]\frac{4}{5} = \frac{x}{22}[/tex]

[tex]5x=22[/tex]

[tex]x=\frac{22}{5}[/tex]

[tex]4(\frac{22}{5} ) = \frac{88}{5} = 17.6[/tex]

Answer:

33 minutes

Step-by-step explanation:

It would tale her 1.5 min for each page

Answer:

Y= -1x - 4

Step-by-step explanation:

Answer:

0.85

Step-by-step explanation:

1.37-0.52=0.85

Answer:

45°

Step-by-step explanation:

First, find the measure of each interior angle of the octagon.

Measure of each interior angle of the octagon = [tex] \frac{(n - 2)180}{n} [/tex]

Where, n = 8.

Plug in the value of n into the formula

[tex] = \frac{(8 - 2)180}{8} [/tex]

[tex] = \frac{(6)180}{8} [/tex]

[tex] = \frac{1,080}{8} = 135 [/tex]

x = 180 - 135 (straight line theorem.)

x = 45°

Answer:

£530

Step-by-step explanation:

Answer:

£530

I hope this helps!

Answer:

40 baskets

Step-by-step explanation:

Find out how many baskets she can make in an hour. Since she makes 4 in 1/2 an hour, multiply 4 by 2 to find out how much she makes in an hour. She makes 8 baskets an hour, so multiply 8 by 5. 8 x 5 = 40.

Answer:

40 Baskets

Step-by-step explanation:

4 x half an hour = 8 baskets an hour. 8 x 5 = 40

Answer:

The family will need to purchase 187 square ft carpeting.

Step-by-step explanation:

Area of Rectangles

Given a rectangle with width W and length H, the area is calculated as follows:

A = W * H

The new carpet of the family has the shape provided in the figure. We have completed the shape to add some missing dimensions by adding and subtracting the given lengths. Please refer to the attached image.

The total area of the carpet is the sum of the areas of three rectangles.

The rectangle at the bottom has dimensions 3 ft x 20 ft, thus its area is:

A1 = 3 ft * 20 ft = 60 square ft

The rectangle at the middle has dimensions 3 ft x 17 ft, thus its area is:

A2 = 3 ft * 17 ft = 51 square ft

The rectangle at the top has dimensions 4 ft x 19 ft, thus its area is:

A3 = 4 ft * 19 ft = 76 square ft

The total area of the carpet is:

A = 60 square ft + 51 square ft + 76 square ft

A = 187 square ft

The family will need to purchase 187 square ft carpeting.

Answer:

13 1/3. have a great day!! :D

Step-by-step explanation:

To solve the equation, you first need to multiply 8 by 3/5's reciprocal, which is 5/3. Reciprocal basically means to flip the fraction. By multiplying 8 by 5/3 you'll get 40/3, which you can simplify to 13 1/3.

Answer:

labeled is the answer your looking for

k-6:5 + 4-k:6= 6k-36+20-5k:30 =

k-16:30

Given:

Selling price of child ticket = $5.40

Selling price of adult ticket = $9.40

Total tickets = 168

Total sales = $1199.20

To find:

The number of adult tickets sold.

Solution:

Let x be the number of child tickets and y be the number of adult tickets.

Total tickets : [tex]x+y=168[/tex]          ...(i)

Total sales : [tex]5.40x+9.40y=1199.20[/tex]      ...(ii)

From equation (i), we get

[tex]x=168-y[/tex]

Put this value in (ii).

[tex]5.40(168-y)+9.40y=1199.20[/tex]

[tex]907.2-5.40y+9.40y=1199.20[/tex]

[tex]4y=1199.20-907.2[/tex]

[tex]4y=292[/tex]

Divide both sides by 4.

[tex]y=\dfrac{292}{4}[/tex]

[tex]y=73[/tex]

Therefore, 73 adult tickets were sold that day.