Brandon wants to ride his bicycle 31 miles this week. He has already ridden 13 miles. If he rides for 3 more days, write and solve an equation which can be used to determine mm, the average number of miles he would have to ride each day to meet his goal.


Equation:

Answer: m =

The range of the graphed function is expressed as: -∞ < y < ∞

Range corresponds to the values on the y-axis while the Domain corresponds to values on the x-axis.

From the graph of a function h(x), we want to find the range of the function in inequality notation.

The range is all possible y-values of the function. Thus, let's find all possible y-values from the graph.

If we look at the graph closely, we see that it has a vertical asymptote at x = 1 and a slant asymptote.

But it includes all y values from -infinity to infinity.

Thus, we can write range as -∞< y < ∞ because both sides of the function go and so on below the x-axis and go and so on above the x-axis.

The range is  -∞< y < ∞ .

Read more about Range of Graph Function at: https://brainly.com/question/7954282

#SPJ1

The equation is 2(w-9)=5 .

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants.

Example: x + 8 = 0

Given statement:

Twice the difference of a number and 9 is equal to 5.

Let the unknown number is w.

Difference between w and 9 = w-9

Now making it twice

2(w-9)

Now by the statement

2(w-9) = 5

Hence, the statement in form of equation is 2(w-9)=5.

Learn more about algebraic equation here:

https://brainly.com/question/953809

#SPJ1

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

for such more question on litres

https://brainly.com/question/27877215

#SPJ8

Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer:

=44.16

Step-by-step explanation:

i hope this helps :)

Answer:

44.16

Step-by-step explanation:

all you have to do is multiply as normal

so that you come up with this 4416.00 and then you move over the decimal point over 2

Answer:

16 ft

Step-by-step explanation:

To find the perimeter of a square you must:

1. add all of the lengths together (4+4+4+4=16)

Have a great day.

Answer:

a)7640

b)4325670

Step-by-step explanation:

when rounding off a number one of the factors to consider is the number before the number you are supposed to round off,if the number is greater than 5 or equal to then you can go ahead and add a 1 to the number you have to round off.but if the number before is less than 5 you just have to leave the number the way it is.in this case for the first question you can see that the tens number is 3 and the number before is greater than 5 so you can add a 1 to the 3 to make it 4, bringing the answer to 7640 the 9 becames a zero..for the second one you can see that the number before the tens number is less than 5 so you can't add a 1 to it leaving the answer as 4325670..

I hope this helps

The solution is: the volume of the soup can is 311.01 cm³.

Here,

we know that

the volume of the soup can =pi*r²*h

here, we get,

diameter=6 cm

---------->

so, radius is:

r=6/2

-----> r=3 cm

h=11 cm

so, we get,

the volume of the soup can

=3.14*3²*11

-----> 311.01 cm³

Hence, The solution is: the volume of the soup can is 311.01 cm³.

To learn more on volume click :

brainly.com/question/1578538

#SPJ1

Answer:

The 4th and 6th

Step-by-step explanation:

0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

The time period of fm wave is found to be  1.13 x 10⁻⁸ sec.

The quantity of waves that pass a fixed point in a unit of time is referred to as frequency in physics.

For the given frequency of a fm wave =  8.85 × 10⁷ hertz.

Time period = 1 / frequency

T = 1 / 8.85 × 10⁷

T = 0.112 x 10⁻⁷ sec

T = 1.13 x 10⁻⁸ sec

Thus, the period of the fm wave is found to be  1.13 x 10⁻⁸ sec.

To know more about the frequency, here

https://brainly.com/question/254161

#SPJ4

Answer:

A,C,D are triangles, B is not.

Step-by-step explanation:

Let 3 sides of a triangle be a,b,c.

A triangle have the sum of 3 angles = 180 degree

and

a-b<c<a+b (similar for a and b)

a. three sides measuring 6 cm, 8 cm, and 10 cm

Satisfied the a-b<c<a+b property -> triangle

b. three angles measuring 40 degrees, 70 degrees, and 65 degrees

Total of 3 angles = 40+70+65 = 175 > 180

-> not triangle

c. three angles measuring 10 degrees, 25 degrees, and 145 degrees

Total of 3 angles = 10+25+145 = 180

-> triangle

d. three sides measuring 9 m, 15 m, and 9 m

Satisfied the a-b<c<a+b property -> triangle

Answer:

C

All triangle must equal 180, 40 + 70 + 65 = 175

First, let's find each length of the city

To do that, find the square root of 900

l² = 900

l= 30 miles

The length of the city is 30 miles

We need to find the length on map

1 inch = 20 miles

x = 30 miles

20 x = 30

x=1.5 miles

The length is 1.5 miles on map

Hence the area on map is ;

Area = l² = 1.5² = 2.25

Hence the city area is 2.25 square inches

The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.

To find the measure of angle ZCBD, we need to examine the given information.

From the figure, we know that angle CDE is 155°.

Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.

In a rectangle, the sum of the interior angles at a vertex is always 90°.

Therefore, angle CBD is 90°.

Hence, the measure of angle ZCBD is 90°.

Therefore, the correct option is J. 90.

for such more question on measure of angle

https://brainly.com/question/25716982

#SPJ8

The probability of a red light be on this road so that neither road would be preferred over the other on the basis of expected number of red lights is 0.3375.

What is Probability:

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Math's to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

Now,

PDF of a Binomial (n, x) distribution is

given as

p(X=x).\(C^n_x P^x (1-p)^(n-x)\)    x =  0,1,2,

Here n = 9, 2:4, p = 0.3

P(x-4)= 9^c_4(0.3)^4 (0.75)^5 = 0·1715 Ans

R Code

We will use the function pGnom() which gives the Cumulative probability of an

Probability  of getting exactly 4 heads is

x <- pGnom (4,9, 0.3) - pGnom (3,9, 0.3)

(We substract 3 to get P(X = 4) since above we have P(X<4) - P(X ≤3)

b)

Expected number in a binomial distribution = np

We  have to equate the Expected values

So

9x0.3 = 8xp

os, p = 0.3375.

To know more about "Probability"

Refer this link:

https://brainly.com/question/13604758

#SPJ4

The cutoff value for the (a) highest 59 IQs is approximately 103.5. (b)  lowest 309 IQs is approximately 87.19. (c) middle 80% of the IQs are approximately 80.77 and 119.23.

To find the cutoff values for different percentages of IQs in the Normal model N(100, 15), we can use the properties of the standard normal distribution.

a) To find the cutoff value for the highest 59 of all IQs, we need to find the z-score corresponding to the 59th percentile. Using a standard normal distribution table or a calculator, we can find that the z-score for the 59th percentile is approximately 0.233. We can then convert this z-score to the corresponding IQ value using the formula:

IQ = mean + (z-score * standard deviation)

= 100 + (0.233 * 15)

≈ 103.5

Therefore, the cutoff value for the highest 59 IQs is approximately 103.5.

b) Similarly, to find the cutoff value for the lowest 309 of the IQs, we need to find the z-score corresponding to the 309th percentile. Since the standard normal distribution is symmetrical, the z-score for the 309th percentile would be the negative of the z-score for the (100 - 309)th percentile. So, we calculate the z-score for the 309th percentile as -0.854. Converting this z-score to the corresponding IQ value:

IQ = 100 + (-0.854 * 15)

≈ 87.19

Therefore, the cutoff value for the lowest 309 IQs is approximately 87.19.

c) To find the cutoff values for the middle 80% of the IQs, we need to find the z-scores corresponding to the lower and upper percentiles. The lower percentile would be (100 - 80)/2 = 10th percentile, and the upper percentile would be 90th percentile. Using the standard normal distribution table, we find that the z-score for the 10th percentile is approximately -1.282, and the z-score for the 90th percentile is approximately 1.282. Converting these z-scores to IQ values:

Lower cutoff IQ = 100 + (-1.282 * 15)

≈ 80.77

Upper cutoff IQ = 100 + (1.282 * 15)

≈ 119.23

Therefore, the cutoff values for the middle 80% of the IQs are approximately 80.77 and 119.23.

Learn more about standard normal distribution here:

https://brainly.com/question/31379967

#SPJ11

CenterWare's direct labor rate variance is $2,100 unfavorable, indicating that the actual rate paid for labor was higher than the standard rate. The direct labor efficiency variance is $2,500 favorable, suggesting that the company achieved higher productivity than expected. The total variance for direct labor is $400 favorable.

To compute the direct labor rate variance, we need to calculate the difference between the actual rate and the standard rate, and then multiply it by the actual hours worked. The formula for the rate variance is (Actual Rate - Standard Rate) × Actual Hours. In this case, the standard rate is $21.00 per hour, and the actual rate is $18.00 per hour. The actual hours worked are 2,500 DLH. Plugging in these values, we find the direct labor rate variance to be ($18.00 - $21.00) × 2,500 = -$7,500, indicating an unfavourable variance.

To calculate the direct labor efficiency variance, we need to find the difference between the actual hours worked and the standard hours allowed, and then multiply it by the standard rate. The formula for the efficiency variance is (Actual Hours - Standard Hours) × Standard Rate. The standard hours allowed are 2,000 DLH (1,000 pots × 2.0 hours per pot). Substituting the values, we get (2,500 - 2,000) × $21.00 = $10,500, indicating a favorable variance.

The total variance for direct labor is the sum of the rate variance and the efficiency variance. In this case, the total variance is -$7,500 + $10,500 = $3,000, which is favorable, indicating that the company performed better than expected in terms of labor cost and efficiency.

The responsibility for the rate variance generally lies with the purchasing department, as they are responsible for negotiating labor rates and purchasing materials at the standard price. The efficiency variance is typically the responsibility of the production department, as they are accountable for achieving the standard labor hours and maximizing productivity.

The rate variance reflects the difference between the actual rate paid for labor and the standard rate. An unfavorable rate variance suggests that the company paid more for labor than anticipated, which could be due to factors like higher wages or inefficient labor management. Conversely, a favorable rate variance would indicate cost savings in labor.

The efficiency variance measures the productivity of labor and represents the difference between the actual hours worked and the standard hours allowed. A favorable efficiency variance implies that the company achieved higher productivity or used fewer labor hours than expected. It could result from factors such as skilled and efficient labor, improved production processes, or effective workforce management.

To learn more about variance refer:

https://brainly.com/question/25639778

#SPJ11

Answer:

B

Step-by-step explanation:

So we have the system of equations:

\(x-2y=3\\2x-3y=9\)

To solve, we can use the substitution method. First, add 2y to both sides in the first equation:

\(x=3+2y\)

Now, substitute this into the secon equation:

\(2(3+2y)-3y=9\)

Distribute the 2:

\(6+4y-3y=9\)

Combine like terms:

\(6+y=9\)

Subtract 6 from both sides:

\(y=3\)

So, the value of y is 3.

Substitute this back into the original equation to find x. Thus:

\(x=3+2(3)\)

Multiply:

\(x=3+6\)

Add:

\(x=9\)

So, our answer is (9,3)

And we're done!

Answer:

See Explanation

Step-by-step explanation:

Given

\(Distance = 402\ miles\)

\(Gasoline = 23/2\ gallons\)

Required

Determine boats with better rates

This question requires options which are missing. However, I'll give an explanation on how to determine the right answers.

First, determine the rate of the given boat by dividing distance by amount of gasoline.

\(Rate = Distance/Gasoline\)

\(Rate = 402\ miles / \frac{23}{2}\ gallons\)

\(Rate = 402\ miles * \frac{2}{23\ gallons}\)

\(Rate = \frac{402\ miles * 2}{23\ gallons}\)

\(Rate = \frac{804\ miles}{23\ gallons}\)

\(Rate = 34.96\ miles/gallon\)

For the list of mission options, calculate the rate using the same formula used above... then compare the results.

Take for instance, we have a boat with:

\(Distance = 500\ miles\)

\(Gasoline = 10\ gallons\)

Rate would be:

\(Rate = 500\ miles/10\ gallons\)

\(Rate = 50\ miles/gallons\)

By comparing these rates, we have that:

\(50 > 34.96\)

So, this new boat has a better rate than the given boat.

Apply this on the missing options

Answer:

m = 3

Step-by-step explanation:

Slope of first one is -1/3

Perpendicular therefore m = -(-1/3)^(-1) = 3

m = 3

Answer:

Given the equation line 4x+12y=8

Step-by-step explanation:

The equation is y=mx+5y=mx+5

The line passes through A(3,14)A(3,14)

Putting (x,y)=(3,14)(x,y)=(3,14), we have…

14=3m+514=3m+5

⟹3m=9⟹3m=9

⟹m=3

Answer:

3/2

Step-by-step explanation:

XY/Z

-2×-3/4

6/4

3/2

Answer:

The correct corresponding part is;

\(\overline {CB}\) ≅ \(\overline {CD}\)

Step-by-step explanation:

The information given symbolically in the diagram are;

ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)

Segment \(\overline {CA}\) is congruent to \(\overline {CE}\) ( \(\overline {CA}\) ≅ \(\overline {CE}\))

Segment \(\overline {CB}\) is congruent to \(\overline {CD}\) ( \(\overline {CB}\) ≅ \(\overline {CD}\))

From which, we have;

∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∠B ≅ ∠D by CPCTC

Segment \(\overline {AB}\) is congruent to \(\overline {DE}\) (\(\overline {AB}\) ≅ \(\overline {DE}\)) by CPCTC

Segment \(\overline {AE}\) bisects \(\overline {BD}\)

Segment \(\overline {BD}\) bisects \(\overline {AE}\)

Therefore, the correct option is \(\overline {CB}\) ≅ \(\overline {CD}\)

Answer:

29 is the correct answer because subtract 90 from 61 we get 29

Step-by-step explanation:

Answer:

29°

Step-by-step explanation:

We know that both angle x and angle "61°" add up to a sum of 90° because it is a right angle.

So, we would have to subtract 61 from 90 to find the missing value.

90 - 61 = 29

Therefore, x equals 29°

-kiniwih426

The price per quart of juice is $2.44.

To determine the price per quart of juice, we need to convert the 3-gallon volume to quarts and then divide the cost by the number of quarts.

There are 4 quarts in 1 gallon, so 3 gallons is equal to:

3 gallons × 4 quarts/gallon = 12 quarts

Next, we can divide the total cost of $29.28 by the number of quarts:

$29.28 ÷ 12 quarts = $2.44 per quart

Therefore, the price per quart of juice is $2.44.

It's important to note that the price per quart may vary depending on the brand and type of juice. Additionally, it's important to consider the nutritional value of the juice and whether it aligns with your dietary needs and preferences.

When comparing prices, it's also important to look at the unit price (price per ounce or price per serving) to ensure that you are getting the best value for your money.

for similar questions on price per quart

https://brainly.com/question/30286623

#SPJ11

Answer:

1) you use any parallel lines or rectangles we can double the triangle to get the area and then divide by 2 as we know the length is 92.5yards and we know the width is 53.5 yards.

We would x these by each other and then divide by 2.

We have the width 53 1/2 yards wide and convert this to decimal if we want.

= 53.5 yards.

We then can count the yards for the length =  90 hash marks = 90 yards+ 2.5

= 92.5yards.

We square then add to find the hypotenuse diagonal line but it is an estimate as the lines inscribed subtends into the corner and it becomes a little larger as bottom line is used. Diagonal is found after by doing a reverse equation on the area.

53.5 x 92.5 then divide by 2 = 4948.75/2 = 2474.375

then 2474.375/ 26.75 = 92.5

This proves the line is isosceles and also find the height of the triangle.

But only as an estimate as the actual line distends

Last answer is B and W are equal measures this is because we do not see a right angle and if we bisected the triangle from the goal line to the left side we would prove the midpoint goal line is actually equal and makes lines of play isosceles where two sides are the same at point B and W.

So the answer is 1 yard as B runs the length of the goal back to a position of diagonal run.

The diagonal length is 92.5 yards

Step-by-step explanation:

Since there are 2 numbers c and b

Since c is 7 greater than twice b

Twice b means 2 x b = 2b

7 greater than means c is greater by 7 than 2b

Then the equation should be

c = 7 + 2b OR c = 2b + c

Given:

There are given that the arc of BC is 182 degrees and the measure of arc AC is 78 degrees.

Explanation:

To find the value of the angle of 1, we need to use the circle properties:

So,

From the properties:

Then,

Put the values into the above formula:

So,

Final answer:

Hence, the correct option is A.

Step-by-step explanation:

5. 4b = b + b + b + b (A)

4b = 2b + 2b (C)

6. 111 = 14a

a = 111/14

a = 7.92

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{3}}} \implies \cfrac{ 1 }{ 3 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ \cfrac{ 1 }{ 3 }}(x-\stackrel{x_1}{3}) \\\\\\ y-7=\cfrac{ 1 }{ 3 }x-1\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 3 }x+6 \end{array}}\)