Ask question

Ask question

All categories

I am Lyosha [343]

2 years ago

12

A pair of boots that originally sold for $75.32 are on sale for 22% off.

1 answer:

Vesnalui [34]2 years ago

3 0

Answer:

The boots will be $58.75

Step-by-step explanation:

first you cross multiply

$\frac{x}{75.32}$ x $\frac{22}{100}$

you then get 1,657.04= 100x, so divide by 100 on both sides to get

16.5704 = X

Subtract X (the 22% discount amount) from the original price to get the new price of $58.75!

You might be interested in

I need help with number 3

Lynna [10]

The hexagon divides the circle into 6 parts. That means the angle projecting each side is: 360°÷ 6 = 60°

The area of a circle is: πr²
78.54 in² divided by pi is 25 making the radius = 5

I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30°

Sin(30) = s/5
5*Sin(30) = s

12*s = perimeter hexagon
(remember s is half the hexagon side)

12*5*Sin(30) = perimeter hexagon
30 inches = perimeter

6 0

3 years ago

If f(x) is an exponential function where f(-1.5) 26 and

mariarad [96]

Answer:

$f(10) = 1147.25$

Step-by-step explanation:

Given

$f(-1.5) = 26$

$f(5.5) = 7$

Required

f(10)

An exponential function is represented as:

$f(x) = ab^x$

$f(-1.5) = 26$ impleies that:

$26 = ab^{-1.5}$ --- (1)

$f(5.5) = 7$ implies that

$7 = ab^{5.5}$ --- (2)

Divide (2) by (1)

$26/7 = ab^{-1.5}/ab^{5.5}$

$3.71429 = b^{-1.5+5.5}$

$3.71429 = b^{4}$

Take 4th root

$b = 1.39$

Substitute $b = 1.39$ in $26 = ab^{-1.5}$

$26 = a * 1.39^{-1.5}$

$26 = a * 0.6102$

Solve for (a)

$a = 26/0.6102$

$a = 42.61$

f(10) is calculated as:

$f(10) = ab^{10}$

$f(10) = 42.61 * 1.39^{10}$

$f(10) = 1147.25$

3 0

2 years ago

981 rounded to nearest 100

sergey [27]

Answer: 1000

Step-by-step explanation:

9 8 1

Hundred tens one

The question is asking for to round to the nearest hundred (100) which means is rounding to [9] in this question.

The number of the place before the hundreds place is [8] on the tens place.

When numbers are greater than or equal to 5, you round up a digit.
When numbers are less than 5, you round down a digit.

[8] is greater than 5, so you round 9 up. When rounding 9 up, you get 10.

<h2>So, the final number will be 1000</h2>

6 0

3 years ago

Anthony purchased a T-shirt for $14.95 and a pair of pants for $21.35.

Mashutka [201]

Answer:

Anthony gave the sales clerk $40

Step-by-step explanation:

7 0

3 years ago

Laboratory experiment shows that the life of the average butterfly is normally distributed with a mean of 18.8 days and a standa

inessss [21]

Answer:

a) 0.4164

Step-by-step explanation:

Mean lifespan (μ) = 18.8 days

Standard deviation (σ) = 2 days

For any given lifespan 'X', the z-score is:

$z=\frac{X- \mu}{\sigma} \\z=\frac{X- 18.8}{2}$

For X=12.04 days:

$z=\frac{12.04 - 18.8}{2} \\z=-3.38$

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.

For X=18.38 days:

$z=\frac{18.38 - 18.8}{2} \\z=-0.21$

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.

The probability that a butterfly lives between 12.04 and 18.38 days is

$P=41.68-0.036\\P=41.64\%\ or\ 0.4164$

6 0

3 years ago