is 8/20 and 20/80 proportional or not proportional

10^2 x (3/5)^2 - 7

= 100 x 9/25 - 7

= 900/25 - 7

= 36 - 7

= 29

Answer: Khloe could buy 3 bags of popcorn and 9 candies.

Step-by-step explanation:

\underline{\text{Variable Definitions:}}

Variable Definitions:

​

x=

x=

\,\,\text{the number of bags of popcorn}

the number of bags of popcorn

y=

y=

\,\,\text{the number of candies}

the number of candies

\text{\textquotedblleft no less than 11 items"}\rightarrow \text{11 or more items}

“no less than 11 items"→11 or more items

Use a \ge≥ symbol

Therefore the total number of bags of popcorn and candies, x+yx+y, must be greater than or equal to 11:11:

x+y\ge 11

x+y≥11

\text{\textquotedblleft \$60 to spend"}\rightarrow \text{can spend \$60 or less}

“$60 to spend"→can spend $60 or less

Use a \le≤ symbol

One bag of popcorn costs $7, so xx bags of popcorn cost 7x.7x. One candy costs $4, so yy candies cost 4y.4y. The total 7x+4y7x+4y must be less than or equal to \$60:$60:

7x+4y\le 60

7x+4y≤60

\text{Solve each inequality for }y\text{:}

Solve each inequality for y:

\begin{aligned}x+y\ge 11\hspace{30px}& 7x+4y\le 60 \\[0.8em] y\ge 11-x \hspace{30px}& 4y\le 60-7x \\[0.8em] \hspace{30px}& y\le \frac{60-7x}{4} \\[0.8em] & y\le 15-\frac{7}{4}x\end{aligned}

x+y≥11

y≥11−x

​

7x+4y≤60

4y≤60−7x

y≤

4

60−7x

​

y≤15−

4

7

​

x

​

Graph y\ge 11-xy≥11−x by shading up and graph y\le 15-\frac{7}{4}xy≤15−

4

7

​

x by shading down:

0

the number of bags of popcorn

the number of candies

x

y

0

the number of bags of popcorn

the number of candies

(3, 9)

Since the point (3, 9(3,9) is inside the double shaded region, one possible solution to the system of inequalities would be:

Khloe could buy 3 bags of popcorn and 9 candies.

The system of inequalities are x + y ≥ 11 and 7x + 4y ≤ 60 and the solution is given by the point P ( 3 , 9 ) where x represents the number of bags of popcorn purchased and y represents the number of candies purchased

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let x represents the number of bags of popcorn purchased and y represents the number of candies purchased

Now , the total number of bags should be no less than 11

And , the inequality is

x + y ≥ 11   be equation (1)

And , cost of each popcorn bag = $ 7

So , the cost of x bags = 7x

And , cost of each candy bag = $ 4

So , the cost of y bags = 4y

The total amount with Khloe = $ 60

And , the inequality is

7x + 4y ≤ 60   be equation (2)

On graphing the inequalities , we can see that the point P ( 3 , 9 ) lies inside the solution

So , 7 ( 3 ) + 4 ( 9 ) ≤ 60

21 + 36 ≤ 60

57 ≤ 60

And , 3 + 9 ≥ 11

12 ≥ 11

Hence , the system of inequalities are solved and the graph is plotted

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ7

9514 1404 393

Answer:

Step-by-step explanation:

If there are x boxes, each containing 12 cookies, then the number of cookies in the boxes is 12x. If there are 24 more cookies than that at the party, we have ...

  y = 12x +24 . . . . . equation modeling party cookies

__

For x=60, the number of cookies at the party is ...

  y = 12·60 +24 = 720 +24

  y = 744 . . . cookies at the party

Answer:

a)

(4a - 3b + 4) + (a + 3b - 1) =

4a - 3b + 4 + a + 3b - 1 =

5a + 3

b)

(2x^2 - 3x - 3) + (-x^2 - 6x + 8) =

2x^2 - 3x - 3 - x^2 - 6x + 8  =

x^2 - 9x + 5

c)

(3m^2 + 5m - 6) + (-m^2 - 4n + 5) =

3m^2 + 5m - 6 - m^2 - 4n + 5 =

m^2 + 5m - 4n -1

d)

(4x^3 - 3xy^2) + (x^3 - 5xy^2 - 5y^2) =

4x^3 - 3xy^2 + x^3 - 5xy^2 - 5y^2 =

7x^3 - 8xy^2 - 5y^2

e)

(5m + 2lm) + (l^2 - 3m^2 - 2lm) =

5m + 2lm + l^2 - 3m^2 - 2lm =

5m + l^2 - 3m^2

Answer:

10

Step-by-step explanation:

h(x) = -(-5) + 5

h(x) = 5 + 5

h(x) = 10

Answer:

XL = PC

AC = NX

PC = XL

Angle L = Angle C

Angle C = Angle L

Angle X = Angle P

Step-by-step explanation:

Answer:

1. Send me the chart and ill get you the answer.

2. unit cost is $0.30

Step-by-step explanation:

Answer:

33 is the large bag

Step-by-step explanation:

10% of 30 = 3

30 + 3 =33

Answer:

((x-4) - 5x2) - 36 = 0 ... 3.2 Find roots (zeroes) of : F(x) = 5x6 + 36x4 - 1 ..............

2i, 6, -6

Step-by-step explanation:

Answer:

x + y = 10

3.75x + 2.5y = 35

Step-by-step explanation:

Got it correct

Answer:

9 + 6.2x = y

Step-by-step explanation:

x - Gallons per minute

y - Total gallons

So, your answer would be:

9 + 6.2x = y

Could also be written as:

y = 9 + 6.2x

Hope this helps :)

Answer:

c. -2

Step-by-step explanation:

because the linear line goes down we know it is negative

and its not 1/2 because it is rise over run. it runs 1 and rises 2 (or drops 2 because it is negative)

rise over run = -2/1 = -2

Answer:

827.5 I guess is the answer

Answer:

6 827.472 8.27471 × 102

5 827.47 8.2747 × 102

4 827.5 8.275 × 102

3 827 8.27 × 102

2 830 8.3 × 102

1 800 8 × 102

827.4715

Sig Figs

7

Decimals

4

Scientific Notation

8.274715 × 102

Words

eight hundred twenty-seven point four seven one five

Answer:

[tex]B = 69[/tex]

Step-by-step explanation:

Given

[tex]A = 2x +27[/tex]

[tex]B = x +27[/tex]

Required

Determine B

First, we need to solve for x

Since both angles are supplementary, then

[tex]A + B = 180[/tex]

Substitute values for A and B

[tex]2x + 27 + x + 27 = 180[/tex]

Collect Like Terms

[tex]2x + x = 180 - 27 - 27[/tex]

[tex]3x= 126[/tex]

Divide through by 3

[tex]x = 42[/tex]

Recall that:

[tex]B = x +27[/tex]

Substitute 42 for x

[tex]B = 42 + 27[/tex]

[tex]B = 69[/tex]

Answer:

Nothing left

Step-by-step explanation:

Nothing left

2/7+4/5=38/35

1 3/35

Answer:

[tex]\frac{1}{7}[/tex]

Step-by-step explanation:

Amount of cake Rani ate = [tex]\frac{2}{7}[/tex]

You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.

Amount of cake brother ate = [tex]\frac{4}{5}[/tex] × ([tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex])

                                               = [tex]\frac{4}{5}[/tex] × [tex]\frac{5}{7}[/tex]

                                               = [tex]\frac{4}{7}[/tex]

Amount of cake left = [tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex] - [tex]\frac{4}{7}[/tex]

                                 = [tex]\frac{1}{7}[/tex]

Answer:

h(2) = -18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

h(x) = -x³ - 2x² - 3x + 4

x = 2

Step 2: Evaluate

Answer:

[tex]\huge\boxed{\sf k = 2}[/tex]

Step-by-step explanation:

Coordinate = (x,y) = (2k-1,k)

This means that:

x = 2k - 1 and y = k

Put it in the given equation: 5x - 4y = 7

5(2k-1) - 4k = 7

10k - 5 - 4k = 7

6k - 5 = 7

Adding 5 to both sides

6k = 7+5

6k = 12

Divide both sides by 6

k = 2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

46

Step-by-step explanation:

Calculate in calculator

Answer:

The answer is $1,175.34

Answer:

b. 13/51

Step-by-step explanation:

hope this helps have a nice day :)

Answer:

d) 4/17

Step-by-step explanation:

14 of each suit, out of 52 total cards.

14/52 would be the chance to draw a diamond.

but, since you removed a card, you change the probability.

13 - 1 = 12

52 - 1 = 51

the probability that you will choose another diamond is 12/51

however, this can be simplified.

12 & 51 are both divisible by 3.

12/3 = 4

51/3 = 17

so the simplified answer would be 4/17

Answer:

x = 12

Step-by-step explanation:

The sum of a heptagon interior angles is 900 degrees, so:

10x + 5 + 12x - 9 + 9x + 14 + 133 + 10x + 9 + 10x + 136 = 900

rearrange to make it easier to subtract/add, u don't have to do this it's optional

10x + 12x + 9x + 10x + 10x + 5 - 9 + 9 + 14 + 133 + 136 = 900

add liket terms

22x + 29x + 19 + 269 = 900

51x + 288 = 900

subtract 288 from both sides

51x = 612

divide by 51

x = 12

i really really really like birds

Look at the values on the axes of the graph.

Step-by-step explanation:

Domain can be found by looking at the x-axis of a graph. Range can be found by looking at the y-axis of a graph. You have to find at what point on the axis is the graph stopping.

For example, if I wanted the domain of y=x, I would say it is all real numbers. Why? Because when we look along the x-axis, from left to right, we can see that it continues going until infinity. That means that there are no stopping points in the graph of y=x.

Answer:7 foot i think

Step-by-step explanation: bottom is 4 foot side is 7 foot that means other side is 7 foot

Answer:

msnsjakzooapaozoziznzn zjzkzkamamz xnejiqpwkx

Answer:

Note that  24  - 10  =  14  don't have black  fur

And suppose  that these 14 are part of the 17 that don't catch mice

Then.....3 that catch mice  must also have black fur....and this is the smallest number that do not catch mice but have black fur

Answer:

=3(y-y)

=3

= 6q-q+9

=q(6-1)+9

=5q+9

Answer:

x^4-3x^3-14x^2+12x+40 =0

Step-by-step explanation:

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

ok

a.

33/60=0.55

55%

b.

114/60=1.9

or 190%

c

60/100=0.6

0.6=1 percent

54

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

Answer: 2=2

Step-by-step explanation:

Without any more information, it sounds like interest is compounded continuously, in which case the value of the investment A is given by

[tex]A=Pe^{rt}[/tex]

where P is the principal investment, r is the interest rate, and t is the number of years.

At the end of the second year (t = 2), the value is A = 60,500, and after the fourth year (t = 4), the value is A = 73,205. So solve the system

[tex]\begin{cases}60,500=Pe^{2r}\\73,205=Pe^{4r}\end{cases}[/tex]

for r. You can eliminate P by dividing

[tex]\dfrac{Pe^{4r}}{Pe^{2r}}=\dfrac{73,205}{60,500}\implies e^{2r}=\dfrac{121}{100}[/tex]

Take the logarithm (log here means natural log) of both sides to get

2r = log(121/100)

r = 1/2 log(121/100)

r ≈ 0.0953

So the interest rate is about 9.53%.