The snow is now 52 inches deep. If this was a 77%
decrease, what was the initial depth

When 15 squares are knit in three hours, 265 squares are knit in 53 hours.

A part, share, or quantity is a percentage when it is compared to the total. It can be any number between 0 and 1, 0, or 1. A number or percentage can be used to represent it. The percentage of Canadians who reside in a certain province is one illustration from official statistics. A unique kind of ratio called a percentage has the numerator and denominator combined. An illustration is the ratio of deaths to men, which is calculated by dividing deaths to men by deaths to men and women (i.e. the total population).

Here,

Let x be hours does it take Teresa to knit 265 squares,

3/15=x/265

3*265/15=x

x=53 hours

It takes 53 hours to knit 265 squares when it takes 3 hours to knit 15 squares.

To know more about proportion,

https://brainly.com/question/29126329

#SPJ1

Answer:

\(X^2-2x+1\)

Step-by-step explanation:

Traditional pattern for a perfect square:

\(x^{2} +2ax+a^{2}\)

Which factors into: \((x+a)^2\)

We know becuase a is "missing" from the original equation that it must equal 1; therefore:

\(x^2+2x+1\)

Which we know is correct because it factors into: \((x+1)^2\)

Answer:

Step-by-step explanation:

3.9

Answer:

Its Pi (3rd option)

Step-by-step explanation:

Or known as: π

Answer:

thats incorrect, the correct answer i believe is the pi symbol (the third option)

Step-by-step explanation:

Most numbers used in everyday life can be categorized as rational numbers, which means they can be written as a simple fraction or decimal. Pi is an irrational number, a number that is non-repeating and non-terminating. ... In fact, its been proven that between every two rational numbers is an irrational one.

I hope this helps!

The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

Read more on linear regression here: brainly.com/question/16793283

#SPJ1

The two pieces of rope are 7 inches and 10 inches  and The  length of a third piece of rope is 11.3 inches.

L = 2(A + B) / (A + B + C),

=2*17/17*x

=11.3inches

To learn more about area of triangles refer to:

https://brainly.com/question/28470545

#SPJ1

Answer:

0 < x < 28

Step-by-step explanation:

If a triangle has 2 sides, with lengths 7 and 21, the third side must -

have a length longer than zero and less than (7+21) = 28

so if the 3rd side has length x, then

0 < x < 28

Answer:

a

Step-by-step explanation:

SOH CAH TOA

Sine is opposite over hypotenuse. The opposite side from the angle is 15 and the hypotenuse is 17.

The number of robberies that are expected to occur when the population reaches 160,800 is 715.

We can use the two data points to find the equation of the line that relates the population and the number of robberies. Let x be the population and y be the number of robberies. Then we have:

Point 1: \((x1, y1) = (121,200, 270)\)

Point 2: \((x2, y2) = (361,900, 650)\)

The slope of the line can be found using the formula: slope = (y2 - y1) / (x2 - x1)

Substituting the values we get:

\(= (650 - 270) / (361900 - 121200)\\= 380 / 240700\\= 0.0015787287\\= 0.001579\)

The equation of the line can be written in the form:

y - y1 = m(x - x1)

Substituting the values of point 1 and the slope we get:

\(y - 270 = 0.001579(x - 121200)\\y - 270 = 0.001579x - 191.3748\\y = 0.001579x - 461.3748\)

Now we can substitute the population of 160,800 to find the expected number of robberies:

\(y = 0.001579(160800) - 461.3748\\y = 253.9032 + 461.3748\\y = 715.278\\y = 715\)

Therefore, we can expect about 715 robberies to occur when the population reaches 160,800.

Translated question "A police department knows that the growth of the city and the number of robberies are related by a linear equation. Township records show that 270 robberies were committed in a year when the population was 121,200, and that 650 robberies were reported in a year when the population was 361,900. How many robberies are expected to occur when the population reaches 160,800?"

equation

Answer:  

It maybe 300.

Answer:

A

Step-by-step explanation:

Been a while since i’ve done this but I’ pretty sure since A starts on 2 and goes back 7 (into the negatives for minus 7) it would be A.

Answer:

I hope this helps!

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

The amount invested in the account that earns 7% interest is $6,000 and the amount invested in the account that earns 8% interest is $14,000.

The system of equations that represent the information in the question is:

a + b = 20,000 equation 1

0.07a + 0.08b = 1540 equation 2

Where:

a = amount invested in the account that earns 7% interest

b = amount invested in the account that earns 8% interest

The elimination method would be used to solve the equations.

Multiply equation 1 by 0.07

0.07a + 0.07b = 1,400 equation 3

Subtract equation 3 from equation 2

0.01b = 140

Divide both sides of the equation by 0.01

b = 140/ 0.01

b = 14,000

Substitute for b in equation 1:

a + 14,000 = 20,000

a = 20,000 - 14,000

a = 6,000

To learn more about system of equations, please check: https://brainly.com/question/25875552

#SPJ1

Alright, so a circle is 360 degrees. We know there's an arc of 90 and an angle extending from the radius being 125.

Since the given angle extending from the radius is at the radius, there will also be a 125 degree arc at the circumference of the circle there.

With this, do:

360-90-125 = 145

to get the amount of arc in the unknown area.

Still though, we need to find the x value, so get the unknown value and set it equal to 145.

16x + 1 = 145

16x + 1-1 = 145-1

16x=145

x = 9.0625 or 9 1/16

Hope that helps.

Answer:

A. 1/2

Step-by-step explanation:

So 15/24 = 0.625

therefore you need to convert all the fractions into decimals and determine which decimal is less than 0.625

a) 0.5 ------ding ding ding correct answer :)

b) 0.875

c) 0.79

d) 0.75

If this helped, please don't forget to give me brainliest!

Answer:

Mean: 5

Median: 5

Step-by-step explanation:

To find the mean you have to add up all the numbers then divided by the total number of numbers you have.

- 3+6+5+4+7+5+6+4=40

- There are 8 numbers so we would do 40 divided by 8 to get our answer,5

- 3,3,4,4,5,5,6,6,7

You start by taking one number from the smallest number then from the largest number.

-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5

You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.

Answer:

b = (4+2c)/a

Step-by-step explanation:

ab - 2c = 4

Add 2c to each side

ab - 2c+2c = 4+2c

ab = 4+2c

Divide each side by a

ab/a = (4+2c)/a

b = (4+2c)/a

Answer:

b = 4 + 2c / a

Step-by-step explanation:

ab - 2c = 4

ab - 2c + 2c = 4 + 2c ..( add 2 both side)

ab = 4 + 2c

ab / a = 4 + 2 c / a ...( Divide each side by a)

b = 4 + 2c / a

The equation that models the taxi fare F as a function of the number of miles driven is F = 2.40 + 0.40m

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, the Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile.

The function will be:

F = 2.40 + (0.40 × m)

F = 2.40 + 0.40m

where m = number of miles

F = taxi fare.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

Given the polynomial function (8x² - 4x-8)(2x²+3x+2). To take the product of both quadratic polynomial, we will need to simply open up the bracket as shown;

= 8x²(2x²+3x+2) - 4x(2x²+3x+2) - 8(2x²+3x+2)

= (16x⁴+24x³+16x²) -(8x³+12x²+8x)-(16x²+24x+16)

Open up the parenthesis

= 16x⁴+24x³+16x² - 8x³-12x²-8x- 16x²-24x-16

Collect the like terms

= 16x⁴+24x³- 8x³+16x² - 16x²-8x-24x-16

= 16x⁴+16x³-32x-16

1. The slopes of perpendicular lines are  a negative reciprocal

2. Parallel lines have the same slope.

3. The shortest distance from any point to a line is a straight line

The slope of two perpendicular lines is such that the slope of one line is equal to the reciprocal of the negative slope of the other.

if two lines of slope m and m' are perpendicular their slopes is written as

m = -1/m'

Parallel lines grow vertically and flow horizontally at the same rate. they have the same slope, they never cross.

if two lines of slope m and m' are perpendicular their slopes is written as

m = m'

Learn more about slope here:

https://brainly.com/question/29333776

#SPJ1

Answer:

y-3=-4(x-1)

Step-by-step explanation:

the 2 points are 1,3. 1 being the X value and 3 being the Y value. If you put those in to the blanks, then you wil get the point slope form

point slope form: y-y(1)=m(x-x(1))

The 1s are the graph points

Answer: 16j^3+2

Step-by-step explanation:

The confidence interval is 0.559 < p < 0.641 and expected value is 0.600

To construct a confidence interval for the true population proportion, we can use the formula:

p ± Z * √((p × (1 - p)) / n)

Where:

p = sample proportion (336/560)

Z = critical value for the desired confidence level

95% confidence = Z-value of approximately 1.96

n = 560

Let's calculate the confidence interval:

p = 336/560 ≈ 0.600

Z ≈ 1.96 (for a 95% confidence level)

n = 560

Plugging these values into the formula:

p ± Z × √((p × (1 - p)) / n)

0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)

0.600 ± 1.96 × √((0.240) / 560)

0.600 ± 1.96 × √(0.0004285714)

0.600 ± 1.96 × 0.020709611

0.600 ± 0.040564459

The confidence interval is:

0.559 < p < 0.641

Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.

For proportions, the expected value is simply the sample proportion, which is approximately 0.600.

Learn more on confidence interval: https://brainly.com/question/15712887

#SPJ1

Answer:y=2.50x+5

Step-by-step explanation:

y=2.50x+5

that's all i can do with the information provided

326 divided by 0.24 to the nearest hundredth is 1358.33

To divide 326 by 0.24 and round the result to the nearest hundredth, we can perform the following calculation:

326 ÷ 0.24 = 1358.3333

Rounding to the nearest hundredth means we need to look at the third decimal place.

So 326 divided by 0.24 to the nearest hundredth is 1358.33.

Learn more about division at:https://brainly.com/question/25289437

#SPJ1

There is a total of 8 possible outcomes. In 4 of then, we have a tail on the second toss. Therefore, the probability of getting a tail on the second toss is 4/8 = 1/2 (or 0.5).

16 quarts is equal to 4 gallons.

The correct option is C.

To convert quarts to gallons, we divide the number of quarts by 4 (since there are 4 quarts in a gallon).

Given that we have 16 quarts, we can calculate:

16 quarts / 4 quarts/gallon

= 4 gallons

Therefore, 16 quarts is equal to 4 gallons.

Learn more about Unit Conversion here:

https://brainly.com/question/5567854

#SPJ6

Answer:

2209

Step-by-step explanation:

The interquartile range is the 3rd quartile minus the 1st quartile. To find the quartiles, you need to find the median.

First, put the values in order.

17012, 18140, 17362, 16697, 14387 becomes

14387, 16697, 17012, 17362, 18140

The median is the value in the middle, so 17012. The first quartile is the median of the numbers to the left of the median. The numbers to the left are 14387 and 16697. Because there are an even amount of numbers, there's no middle. So the median of those values is the average (aka the sum divided by the number of values).

14387 + 16697 = 31084. Then divide that by 2 (the number of values) and you get 15542. So 15542 is the first quartile.

The 3rd quartile is the median of the values to the right. It is 17751 because 17362 and 18140 are the numbers to the right of the median. 17362 + 18140 = 35502 and 35502/2 = 17751.

The interquartile range is the 3rd quartile minus the 1st quartile

17751 - 15542 = 2209

The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."

According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.

The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:

Sum = (n/2)(first term + last term)

In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:

Sum = (7/2)(x + (x + 6))

Simplifying the equation:

(7/2)(2x + 6) = (21/4)(x + 6)

Multiplying both sides by 4 to eliminate the fractions:

14x + 42 = 21x + 126

Subtracting 14x from both sides:

42 = 7x + 126

Subtracting 126 from both sides:

-84 = 7x

Dividing both sides by 7:

-12 = x.

For more such questions on Smallest integer:

https://brainly.com/question/30076540

#SPJ8

Not all intersecting lines are perpendicular.

Perpendicular lines require a 90-degree angle of intersection, creating the formation of right angles.

Nonetheless, unlike perpendicular lines that necessitate exactly 90 degrees of intersections, other types of driven lines can be at varying angles beside these.

As such, it is critical to highlight that in general intersecting lines come with different angles of intersection, and only those featuring exact 90-degree angle of intersection become normal cases of intersecting lines, becoming one among many subtypes existing today.

Learn more about perpendicular lines at

https://brainly.com/question/1202004

#SPJ1