All categories

3 years ago

Ms. Mendez ate 18 red skittles, which represented 24% of the entire packet. How many skittles were in the entire packet?

Mathematics

1 answer:

postnew [5]3 years ago

3 0

Answer:

Step-by-step explanation:

When you normally find a percentage of something you multiply. So, if you do the reverse operation, or divide, you'll get your answer.

18/24% is 75. And when you double check this by multiplying 75 by 24% you get 18. So, the bag of skittles had a total of 75 skittles.

You might be interested in

A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

2 years ago

Answer question 4 pls for math

brilliants [131]

Answer:

Rule: y = 2x

m = 2

b = 0

Step-by-step explanation:

(17, 34) and (22, 44)

Slope:

m=(y2-y1)/(x2-x1)

m=(44-34)/(22-17)

m= (10)/5

m = 2

Slope-intercept:

y - y1 = m(x - x1)

y - 34 = 2(x - 17)

y - 34 = 2x - 34

y = 2x

y = mx + b

y = 2x

b = 0

3 0

3 years ago

PLEASE HELP I WILL BRAINLIST

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

Since they intersect you can just solve for x and y

since y=-4x and y=x^2+2x+8, you can set -4x=x^2+2x+8

add 4x to both sides to make 0=x^2+6x+8

and factor out (x+4)(x+2)

so the solutions for x are -4 and -2

then insert the two values for x into the first equation

so y=-4(-4) and y=-4(-2)

so y=16 and y=8 when x=-4 and x=-2

so the smallest value for y in both equations is 8

Please give brainliest :)

3 0

3 years ago

Write the quadratic equation whose roots are 5 and -3, and whose leading coefficient is 1

kogti [31]

1. A quadratic equation has the following form: ax²+bx+c.

2. The leading coefficient is the number that is attached to the variable with the highest exponent. Then, the "a" is the leading coefficient of the quadratic equation.

3. The problem says that the leading coefficient is 1 (a=1) and the roots of the quadratic equation are 5 and -3. Then, you have:

(x-5)(x+3)=0

4. When you apply the distributive property, you obtain:

x²+3x-5x-15=0
x²-2x-15=0

5. Therefore, the answer is:

x²-2x-15=0

4 0

3 years ago

Whats a frequency polygon

NeTakaya

Frequency polygons are a graphical device for understanding the shapes of distributions.

8 0

3 years ago