Your family shares all the minutes in your cell phone plan. Every 30 days you get 4,800 minutes. Four people share the minutes. How many minutes can each person use per day if the minutes are split fairly?

well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".

so f(-1) => -2(-1) + 1 => 3.

Answer:3

Step-by-step explanation:

In this case x=-1 so you will use the top equation because x<1

so f(-1) = -2(-1) + 1

          = 2+1

           =3

the three angles of a triangle always add up to 180 degrees.

So, add the three angles together!

2x - 12 + 2x + 17 + 9x - 7 = 180

Group the similar numbers together.

13x -2 = 180

13x = 182

x = 14

Plug x in to 2x + 17

14*2 + 17 = 45

mX = 45 degrees

Answer:

m∠X = 45°

Step-by-step explanation:

All angles in a triangle add up to 180°

2x - 12 + 2x + 17 + 9x - 7 = 180

13x = 180 - 17 + 12 + 7

13x = 182

x = 14°

m∠X = 2x + 17

sub x = 14° into m∠X

2(14) + 17

m∠X = 45°

Answer:

38

Step-by-step explanation:

Answer:

13,087 = 3x + 7,594

Step-by-step explanation:

have a good day

Answer:

w > 2

Step-by-step explanation:

w + 8 > 10

w > 10 - 8

Answer:

i think mr phillip bought more fruit

Step-by-step explanation:

The equation that represents the lines through (2, -4) and (0, 4) is y = -4x + 4

It is crucial to note that the equation of a line is expressed as;

y = mx+ c

Where;

From the information given, we have the point as;

(2, -4) and (0, 4)

Now, let's determine the slope

The formula for determining the slope or gradient of a line is expressed as;

Slope, m = y2 - y1/x2 - y1

Now, substitute the values into the formula

Slope, m = 4 -(-4)/0 -2

expand the bracket

Slope, m = 4 + 4/-2

Add the values

Slope, m = 8/-2

Slope, m = -4

To determine the intercept, use the points of x and y

-4 = -4(2) + c

expand the bracket

-4 = -8 + c

c = -4 + 8

c = 8

The equation of the line is;

y = -4x + 4

Thus, the equation of the line is y = -4x + 4

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Based on the information provided, it can be concluded that for each meal the restaurant used 0.4166 kilograms of potato.

To calculate the quantity of potatoes used, you can use the following formula shown below:

Total of potatoes used / number of meals

2 1/2 kilograms of potatoes/ 6 meals

2 1/2 kilograms of potatoes is equivalent to 2.5 (1/2 = 0.5)

2.5 kilograms of potatoes/ 6 meals

0.4166

Therefore for each meal, the restaurant used 0.4166 kilograms of potatoes.

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Answer: The height of tree = 15 ft. 6 inches

Step-by-step explanation:

Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ]  inches    [ 1 ft= 12 inches]

= 63 inches      

Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches    

= 42 inches

If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches

= 124 inches.

At the same time,

\(\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.\)

Hence, the height of tree = 15 ft. 6 inches

Answer:

( 0 < y < 23 / 6 ) mins

Step-by-step explanation:

Solution:-

We will define a variable ( x ) as the time it took for Jo Anne to give her speech at home.

The time taken to give her speech must always be less than 4 minutes. We can express this mathematically using an inequality as follows:

                              ( 0 < x < 4 ) minutes

Jo Anne gave her speech which was 10 seconds less than the one she practised at home. We will convert the time in seconds to minutes as follows:

                             \(10 s * \frac{min}{60 s} = \frac{1}{6} min\)

The time taken by Jo Anne to complete her speech in English class can be represented as:

                             y = x - 1/6

Using the range of time that Jo Anne could take in delivering her speech in the class would be:

                                    0 < x < 4

                            0 - 1/6 < y < 4 - 1/6

                            -1/6 < y < 23 / 6

Since time can not be less than zero. We correct the lower limit to " 0 " as follows:

                              ( 0 < y < 23 / 6 ) mins

The possible times for her speech of her at school vary between 0 and 3:50 minutes.

Since Jo Anne needs to do a speech in her English class that can't be more than 4 minutes long, and she timed herself when she practiced last night and was within the time limit, and in class, her speech was 10 seconds less than the one that she did at home, to determine what are the possible times for her speech at school the following calculation must be performed:

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Answer:

\(\displaystyle m=0\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (8, 6)

Point (-1, 6)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

y =-0.25x + (-6)

Step-by-step explanation:

crosses y axis at -6 so that's your y-intercept

to find gradient use change in y / change in x

so make a triangle -1 / 4 = -0.25

Answer:

Please check the explanation.

Step-by-step explanation:

To find the amount we use the formula:

\(A=P\cdot \left(1+\frac{r}{n}\right)^{nt}\)

Here:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

Given

P=$3500

r=2.5%

n=12

t = 5 years

Calculating compounded monthly

After plugging in the values

\(A=3500\left(1+\frac{2.5\%\:}{12}\right)^{12\cdot \:5}\)

\(A=3500\left(1+\frac{0.025}{12}\right)^{12\cdot \:5}\)

\(A=3500\cdot \frac{12.025^{60}}{12^{60}}\)

\(A = 3959.93\)

Thus, If you deposit $3500 into an account paying 2.5% annual interest compounded monthly, you will have $3959.93 after five years.

Calculating compounded weekly

n = 52

\(A=3500\left(1+\frac{2.5\%\:}{52}\right)^{52\cdot \:5}\)

\(A=3500\left(1+\frac{0.025}{52}\right)^{52\cdot \:5}\)

A = 3,965.90

Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded weekly, you will have $3,965.90  after five years.

Answer:

A

Step-by-step explanation:

\(\frac{2x^2-10x-28}{6x}\) × \(\frac{6}{x-7}\) ← factor the quadratic

= \(\frac{2(x+2)(x-7)}{6x}\) × \(\frac{6}{x-7}\)  ← cancel the factor (x - 7) and 6

= \(\frac{2(x+2)}{x}\) × 1

= \(\frac{2x+4}{x}\)

Answer:

D. -10000

Step-by-step explanation:

you really need to copy or type the question better.

I can only assume what you really mean.

I guess, you want to say that F(x) = 1/(x+1)

when the value for x gets close to -1, the whole expression gets close to 1/0, which would bring numbers with larger and larger absolute values, leading to infinity.

you also did not say from what direction we are getting closer to -1.

we could come from -2 and move closer and closer to -1.

in this case (x+1) would always be smaller than 0 (negative sign).

or we could come from +1 and then 0 and move towards -1, in which case (x+1) would airways be bigger than 0 (positive sign).

anyway, when being closer and closer to -1, the absolute value of the resulting functional values will get bigger and bigger.

the only answer option with a larger absolute value is D (-10000).

so, that had to be the solution, and it also means that we are coming from -2 to -1, and the sign is negative.

Given that a rectangle has an area of 345 square millimeters and a base of 15 millimeters, find the height.

Area of a Rectangle = b x h

So, to find the height, we would reverse it by dividing the area by the base.

Work:

345/15 = 23

So, 23 would be our height.

Thus, the height of the rectangle is 23 millimeters.

Answer:

23 millimeters

Step-by-step explanation:

The area of a rectangle can be found using the following formula.

a=b*h

We know that the area is 345 square millimeters and the base is 15 millimeters, but we don't know that the height is.

a=345

b=15

Substitute these variables into the formula.

345=15*h

We want to find out what the height, or h is.  In order to do this, we have to get h by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

h is being multiplied by 15. The opposite of multiplication is division, so divide both sides by 15.

345/15=15*h/15

345/15=h

23=h

Add appropriate units. In this case, the units are millimeters.

h=23 millimeters

The height of the rectangle is 23 millimeters.

The given data is the mean of 100 and the standard deviation of 15. We are required to find the probability that someone gets a score of 105 or less. This requires us to find the z-score for 105 using the z-score formula.z = (x - μ) / σWhere x = 105, μ = 100 and σ = 15

Substitute the values in the above formula.  z = (105 - 100) / 15 = 0.33The z-score table gives the probability as 0.6293. Therefore, the probability that someone gets a score of 105 or less is 0.6293 or approximately 0.63. Thus,  0.63 or 0.6293.The probability of getting a score of 105 or less is the same as the probability of getting a score that is less than 105. This is because the normal distribution is continuous and symmetrical.

Also, a score of 105 is greater than the mean, therefore, the probability of getting a score less than 105 is greater than 0.5. Thus, we can say that it is likely that someone will get a score of 105 or less. In statistics, the normal distribution is the most commonly used distribution. It is a continuous and symmetrical distribution that is often used to represent real-life data like heights, weights, and IQ scores. The mean and the standard deviation are two important parameters of a normal distribution. The mean represents the central tendency of the data while the standard deviation represents the spread of the data. Normal distributions are represented using a bell-shaped curve where most of the data is found around the mean and tails extend to the right and the left of the mean. A z-score of 0 means the data point is equal to the mean while a positive z-score means the data point is above the mean. A negative z-score means the data point is below the mean. In this case, we found that the z-score for 105 is 0.33.Next, we used the z-score table to find the probability associated with a z-score of 0.33. The table gave us a probability of 0.6293. Therefore, the probability that someone gets a score of 105 or less is 0.6293 or approximately 0.63.

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Answer:

(47,16)

Step-by-step explanation:

System of Equations Problem.

Solve v(7)+b(6)=394;v(3)+b(12)=612

Solve 6b+7v=394 for b

Add -7v to both sides.

6b+7v+−7v=394+−7v

6b=−7v+394

Divide both sides by 6.

\(b=\frac{-7}{6} v+\frac{197}{3}\)

Substitute \(b=\frac{-7}{6} v+\frac{197}{3}\) for b in 12b+3v=612

12b+3v=612

\(12(\frac{-7}{6} v+\frac{197}{3} )+3v=612\)

Simplify both sides of the equation.

−11v+788=612

Add -788 to both sides.

−11v+788+−788=612+−788

−11v=−176

\(\frac{-11v}{-11} =\frac{-176}{-11}\)

v=16

Substitute 16 for v in \(b=\frac{-7}{6} v+\frac{197}{3}\)

\(b=\frac{-7}{6} v+\frac{197}{3}\)

\(b=\frac{-7}{6}(16)+\frac{197}{3}\)

Simplify both sides of the equation.

b=47

Answer:

b=47 and v=16

The critical value for the 0.05 level of significance is k = 21.

To find the critical value, we can use the binomial distribution. The binomial distribution models the number of successes in n independent Bernoulli trials, each with probability p of success. In this case, the number of successes is the number of dog owners who say Woof Chow is their regular brand, and the number of trials is n = 100. The null hypothesis is that the true market share of Woof Chow is 25%, and the alternative hypothesis is that it is not 25%.

We can use the binomial cumulative distribution function (CDF) to find the critical value. The CDF gives the probability of getting k or fewer successes in n trials, given a probability of success p. The critical value is the smallest value of k such that the CDF at k is greater than or equal to 1 - alpha, where alpha is the level of significance. In this case, alpha = 0.05.

So, we want to find the smallest k such that:

P(X <= k) >= 1 - 0.05

where X is a random variable representing the number of dog owners who say Woof Chow is their regular brand. We can use a binomial calculator or a software package to calculate the binomial CDF, or we can use a table of critical values for the binomial distribution.

The critical value for the 0.05 level of significance is k = 21. This means that if the true market share of Woof Chow is 25%, then the probability of getting 23 or more dog owners who say Woof Chow is their regular brand is less than 0.05. Since the observed number of dog owners who say Woof Chow is their regular brand is 23, which is greater than 21, we can reject the null hypothesis that the true market share is 25%.

This means that based on the survey results, we cannot conclude that Woof Chow has a market share of 25%. The survey results suggest that Woof Chow may have a market share that is greater than 25%.

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Answer:

x = 3.6

Step-by-step explanation:

-3 (5 - 2x) = 3

use the distributive property

-15 + 5x = 3

+15          +15

5x = 18

divide by 5

x = 3.6

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-Lil G

Answer:

Paul has 6.6 miles to go after his snack.

Step-by-step explanation:

Speed is the rate of moving. The speed can be calculated by dividing the distance traveled by the amount of time it took.

speed= distance/time  , v=d/t

So,from Paul's average speed we can calculate how much distance he has passed after 3 hours.

distance_3h=v*t=13.8 miles per hour * 3 hours

distance_3h=41.4 miles

There are total 48 miles to the beach, so Paul have to go 48miles-distance_3h after his snack, which gives:

48-41.4=6.6 miles

Answer:

x² - 30 + 5x

Step-by-step explanation:

(x + 5)(x − 5)

=x(x − 5)+5(x − 5)

=x² - 5 + 5x - 25

=x² - 30 + 5x

Answer:

x:b116.67

Step-by-step explanation:

120/100

140×100/120

Planting an additional 210 vines will maximize grape production.

To find the number of vines that should be planted to maximize grape production, we need to find the maximum value of the function A(n) = (800 + n)(10 - 0.01n), which represents the number of pounds of grapes produced per acre as a function of the number of additional vines planted. To find the maximum value, we can take the derivative of A(n) with respect to n and set it equal to zero.

A'(n) = -0.01n² + 2.1n + 800

Setting A'(n) = 0, we get

-0.01n²+ 2.1n + 800 = 0

Solving for n using the quadratic formula, we get

n ≈ 210

Therefore, planting an additional 210 vines will maximize grape production.

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Answer:

20 percent

Step-by-step explanation:

5/25=0.2

Answer:

25/30 which reduces to 5/6

Step-by-step explanation:

There is a net total of 30 students (25 for musical and 5 for play)

It's asking for the probability of someone who wants to do a musical getting selected, which would be 25 kids out of 30. Which reduces to 5/6

Expression is a combination of numbers, variables and operators. x=14 is the solution of the expression x/2 + 4 = 11 .

Expression is a combination of numbers, variables and operators.

The given expression is x/2 + 4 = 11

x by two plus four equal to eleven.

here x is the variable

We have to keep variables on one side and numbers on other side.

Let us subtract 4 on both sides

x/2+4-4=11-4

x/2=7

Multiply two on both the sides

2(x/2)=7×2

x=14.

Among the solution -16 or -4 or 20 or 10. we dont have any value which is 14. Hence the solution is none of them.

Therefore the value of x is 14.

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Carson will make $686.25 in a week.

This problem can be solved by using percentage.

Percentage is the measure of a quantity with respect to its whole.

Given, the total salary of Carson in a week is = $450

Also he gets a commission of 15% on making sales for a week.

In a week he makes a sales of $1575.

Commission for this week = 15% of 1575

                                            = $236.25

Total salary for this week = 450+236.25

                                           = $686.25

So, Carson will receive the above amount in a week as his salary.

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The total square footage (area) of the apartment is 337 square feet.

It is given in the question that, In a small apartment:-

Dimensions of the bedroom = 10 ft by 10ft

Dimensions of the bathroom = 5 ft by 5 ft

Dimensions of the living room/kitchen = 14 ft by 18 ft

We have to find the total square footage (area) of the apartment.

We know that,

Area of square = \(side^2\)

Hence,

Area of the bedroom = 100 square feet

Area of the bathroom = 25 square feet

Area of the living room/ kitchen = 212 square feet

Hence,

Total square footage of the apartment = 100 + 25 + 212 = 337 square feet.

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