write each equation in slope-intercept form6x+9y=277x=3y-12

Answer:

Kelvin did not skied without falling more than twice as long as anyone else in his family.

Step-by-step explanation:

The inequality representing the event where Kelvin skied without falling more than twice as long as anyone else in his family is:

\(2f<223\)

Here 223 is the time for Kelvin.

\(2f<223\)

\(2\times 55=110<223\)

Kelvin skied without falling more than twice as long as Lori.

\(2f<223\)

\(2\times 265=530>223\)

Kelvin skied without falling less than twice as long as Vanessa.

\(2f<223\)

\(2\times 172=344>223\)

Kelvin skied without falling less than twice as long as Devon.

\(2f<223\)

\(2\times 112=224>223\)

Kelvin skied without falling less than twice as long as Celia.

\(2f<223\)

\(2\times 356=712>223\)

Kelvin skied without falling less than twice as long as Arnold.

Thus, Kelvin did not skied without falling more than twice as long as anyone else in his family.

Answer:

Yes, Kevin skied 2x as long as Lori.

Step-by-step explanation:

Kevin's time was 223 seconds; Lori's time was 110 seconds.

110^2 = 220 or 110 multiplied by 2 equals 220 or 110 x 2 = 220 or

110 * 2 = 220

Thus, Kevin indeed, skied twice as long as Lori.

The measurement that is closest to the 18.4 gallons of gasoline that Chris bought is 69.92 liters , the correct option is (d) 69.92 L .

In the question ,

it is given that ,

number of gallons that Chris bought = 18.4 gallons

also given that 1 gallon = 3.8 liter

Using the conversion , 1 gallon = 3.8 liter ,

we get ,

18.4 gallons = 3.8 × 18.4

                    = 69.92

hence, 18.4 gallons = 69.92 liters

Therefore , the measurement that is closest to the 18.4 gallons of gasoline that Chris bought is 69.92 Liters, the correct option is (d) 69.92 L   .

The given question is incomplete , the complete question is

Chris bought 18.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Chris bought?

(a) 6.21 L

(b) 14.6 L

(c) 4.84 L

(d) 69.92 L

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Answer:

A line has a slope of 2/3 and y–intercept -2. The equation of the line is y = (2/3)x - 2.

Step-by-step explanation:

Hope this helps

Answer:

y = (2/3)x - 2

Step by step explanation:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

Given, slope of the line is 2/3

y-intercept is -2.

The equation of the line in slope-intercept form is given by

y = mx + c

Where, m is the slope

c is the y-intercept.

y = (2/3)x - 2

Answer:

23

Step-by-step explanation:

First of all we find the total number of students:

4+6+2+2+3+4+6+3=30

Then we find the amount of freshmen’s

4+3=7

Now we find the Fraction which represents the freshmen to all ratio:

\(\frac{7}{30}\)

which is equal to:

0.2333...

Which can be converted into a percentage by multiplying it by 100

0.2333...×100=23.333...

Which is rounded down as the third digit, the 3, gets rounded down

so the answer is 23

Answer:

the numbers are 4 and 7

Step-by-step explanation:

"twice a number added to another number is 15" --- 4(2) + 7 = 15

"the sum of the two numbers is 11" --- 4 + 7 = 11

The amount of the loss exists 1350.

Amount of Loss means an amount equivalent to the outstanding balance of the principal amount, less any amounts recognized by perfecting rights under a security agreement, together with such interest as the executive director shall permit, to a maximum of such interest as may be permitted by rule.

Given: Mr. Black purchased a television set for $450.00. He subsequently sold the television set at a defeat of 30%.

From the given information, we get

\($4500\cdot \frac{30}{100}\)

simplifying, we get

\($4500\cdot \frac{30}{100}\)

= 1350

Therefore, the amount of the loss exists 1350.

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Answer:

C

Step-by-step explanation:

For these types of problems, its important that we focus on the base as well as the lengths of the base and any other given lengths.

Here, the net has a base that forms a square with side lengths of 8mm.

So automatically, we can eliminate choices a and d as both have a base that is a triangle rather than a square.

We've also noticed that the base has a length of 8mm

If we look at B and C closely, we can tell that B has base lengths of 10mm while C has base lengths of 8mm.

So C is the correct answer choice.

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17 x 9 = 153

Step-by-step explanation:

the answer is 153

Step-by-step explanation:

remember, y = f(x)

so, the question is really for what x is y = 1 ?

and what is the y-value for x = -1 ?

a)

when we imagine a horizontal line through y = 1, at what points (x-value) does this line cross the function graph ?

as we can see, at x = -2 and x = 2.

pick one for your answer.

b)

now we imagine a vertical line through x = -1.

at what point (y-value) does this line cross the function graph ?

as we can see, at y = 4.

f(-1) = 4

Answer:

136 in²

Step-by-step explanation:

8x2=16

6x2=12

6x2=12

6x2=12

10x2=20

10x2=20

10x2=20

8x2=16

2x2=4

2x2=4

136 in²

Answer:

87, 73 (solution A)

Step-by-step explanation:

We know that angle WXY is 160 degrees. Therefore, (5x+8)+(7x-4)=160.

(5x+8)+(7x-4)=160

5x+8+7x-4=160

12x=156

x=13

Now that we have x, we can plug them in to the expressions to find the measures of the given angles.

7(13)-4=87 degrees (angle WXZ)

5(13)+8=73 degrees (angle YXZ)

The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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Answer:

x=90-35

=55 is the answer

Answer:

p = -160

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

p/5 = -32

Step 2: Solve for p

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

The approximate space required to store the bales is 4.6 cubic meters if the bale has a diameter of 1.5 m and a height of 2.6 m.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

\(\rm V = \pi r^2 h\)

We know the radius will be half of the diameter:

r = 1.5/2 = 0.75 m

h = 2.6 m

V = π(0.75)²(2.6)

V = 4.59 ≈ 4.6 cubic meters

Thus, the approximate space required to store the bales is 4.6 cubic meters if the bale has a diameter of 1.5 m and a height of 2.6 m.

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The square root of 58 is around 7.6

The entire number is, 7.61577310586...

Answer:

Step-by-step explanation:

The number of kilograms that the crane is lifting, based on the maximum it can lift and the proportion being lifted is 160 kilos

The number of kilos that the crane is lifting can be found by the formula :

= Maximum kilogram capacity x Proportion of maximum being lifted

Maximum kilogram capacity = 224 kg

Proportion of maximum being lifted = 5 / 7

The kilos being lifted by the crane is therefore :

= 224 x 5/7

= 1, 120 / 7

= 160 kilos

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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 answer to this question: B

Answer:

7 hours

Step-by-step explanation:

d=rt

d is distance

r is speed

t is time

here we need to find (t)

so d/r is t

so t is 455/65

t is 7

The percentage of data items that lie below the z-score of 3 is 99.87%.

In a normal distribution, the z-score represents the number of standard deviations a particular data point is away from the mean. The table provided gives the percentiles corresponding to different z-scores.

To find the percentage of data items that lie below a z-score of 3, we can look up the corresponding percentile in the table. In this case, the percentile for a z-score of 3 is given as 99.87%.

This means that approximately 99.87% of the data items in a normal distribution are below a z-score of 3.

Similarly, to find the percentage of data items that lie above a z-score of 3, we can subtract the percentage below the z-score from 100%. In this case, it would be 100% - 99.87% = 0.13%.

This means that approximately 0.13% of the data items in a normal distribution are above a z-score of 3.

Thus, these percentages indicate the relative position of the data points within the distribution. It provides a measure of how extreme or rare a particular value is in comparison to the rest of the distribution.

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The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.