my last question for marth

By using the distance formula, we can see that Luna's time in minutes is 120 minutes.

We know that she went a distance of 10 miles at a rate of 5 miles per hour.

Remember the linear relation:

distance = rate*time

Then if we define t as the time:

10 mi = (5mi/h)*t

(10 mi)/(5mi/h) = t

2 h = t

And we want the time in minutes, remember that:

1 hour = 60 min

Then:

2 hours = 2*(60 min) = 120 min

The correct option is the first one.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Answer:

10/12

Step-by-step explanation:

36 divided by 3 is 12 so you would have to divide 30 by 3 to make it equivalent and you would get 10/12.

Hope this helped!

Answer:

Step-by-step explanation:

The equation is C = 6500 + 175S

The total cost to transport 16 tons of sugar is $9300

From the question, we have

C = total cost

S represent the amount of sugar (in tons) transported.

C = 6500 + 175S

total cost to transport 16 tons of sugar = 6500 + 175(16)

= 6500 + 2800

= $9300

The total cost to transport 16 tons of sugar is $9300.

Addition:

The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.

To learn more about addition visit: https://brainly.com/question/680614

#SPJ1

Answer:

to me it look like a reflection

Step-by-step explanation:

note in photo

Answer:

x ≥ - 2

Step-by-step explanation:

4x ≥ - 8 ( divide both sides by 4 )

x ≥ - 2

Answer

x ≥ 2

----------------------------------------------------------------

4x ≥ 8

[tex]x \geq \frac{8}{4}[/tex]

x ≥ 2

y=2/3x+7 is equation in slope-intercept form of the line that passes through (6, 11). and (2, 25/3). ​

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (6, 11) and (2, 25/3). ​

m=25/3-11/2-6

=-8/3/-4

=8/12=2/3

Now we have to find y intercept by considering (6,11)

y=2/3x+c

11=2/3(6)+c

11=4+c

11-4=c

7=c

The slope intercept form of line is y=2/3x+7

Hence y=2/3x+7 is equation in slope-intercept form of the line that passes through (6, 11). and (2, 25/3). ​

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

The accumulated interest on the loan given, equals to $778.125.

Also known as compound interest, means the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

Amount payable equals to:

=  P(1+i/100)*n

= $5,000*(1 + 7.5%)^2

= $5,000 * 1.155625

= $5,778.125

The computation of the accumulated Interest goes as:

= Amount payable on loan - Loan Amount

= $5,778.125 - $5,000

= $778.125

Read more about accumulated interest

brainly.com/question/24924853

#SPJ1

The range of a list or set is the difference between the smallest and largest numbers. To find the range, arrange all of the numbers in ascending order. Subtract (deduct) the lowest number from the highest. The answer provides the list's range.

The median is discovered by sorting all data points and selecting the one in the middle (or if there are two middle numbers, taking the mean of those two numbers)

In two simple steps, you can calculate the mean or average of a data set: Add up all of the values to find the sum. Subtract the sum from the total number of values in the data set.

The mode, median, and mean are the three main measures of central tendency. Each of these measures describes a different indication of the distribution's typical or central value.

The mean (average) and the median are the two most commonly used measures of the data's "center."

Learn more about mean on:

https://brainly.com/question/1136789

#SPJ1

By using the rectangle, we proved that area of triangle is half the area of rectangle that is 1/2 (base×height).

To Prove:- Area of a triangle= 1/2 (base×height)

Diagonals of a rectangle divide it into two parts of equal areas.

Let  ABCD  be a rectangle.

In ΔABC and ΔADC,

                                         AC=AC

By Alternate Interior Angles:

                                    ∠BAC=∠CAD

                                    ∠BCA=∠CDA

Hence, ΔABC≅ΔACD

                               ∴ar(ΔABC) =ar(ΔACD)

Let ΔABC,

We draw a line AD perpendicular to BC, line EF parallel to BC passing through A and lines BE and CF , perpendicular to BC passing through B and C respectively.

In rectangle ADBE,

we get,

                     ar(ΔABE)=ar(ΔADB)

Similarly, in rectangle ADCF,

                     ar(ΔADC)=ar(ΔACF)

Now, area of rectangle BCFE, from axiom,

                               =(length)⋅(breadth)

                               =AB⋅BC

                              =AD⋅BC

Also,

ar(BCFE)

                                   =ar(ADBE)+ar(ADCF)

                                   =2⋅ar(ΔADC)+2⋅ar(ΔADB)

                                   =2(ar(ΔADC)+ar(ΔADC)

                                   =2(ar(ΔABC))

From (1) and (2),

                                   2(ar(ΔABC))=AD⋅BC

                                    ar(ΔABC)=1/2AD⋅BC

                                   ar(ΔABC)=1/2(base)⋅(height)

To learn more about triangles , visit :

https://brainly.com/question/27683633

#SPJ4

The formula for P and B is 4P + 10B = 7

Given,

The number of batteries in a packet  = 4 batteries

The number of batteries in a box = 10 batteries

Sarah bought P packets and B boxes of batteries

The total number of batteries Sarah bought = 7 batteries

We have to write an expression;

Here,

4 batteries in a packet.

Sarah bought P packets of battery.

So,  she bought 4P batteries

Then,

10 batteries in a box

Sarah bought B boxes of battery

So, she bought 10B batteries

That is,

Sarah bought a total of 4P +  10B batteries which is 7 batteries

Therefore,

The formula for P and B is 4P + 10B = 7

Learn more about number of batteries here;

https://brainly.com/question/11666197

#SPJ1

Answer:

16

Step-by-step explanation:

(n-2)*180=total of the interior angles

(n-2)*180=157.5n

180n-360=157.5n

22.5n-360=0

22.5n=360

n=16

The relationship between the variables c and b is c = [tex]\frac{50}{3}b[/tex]

A variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.

if c ∝ b

Then,

c = kb where k is a constant

When c = 50, b = 3

substituting into the equation above,

50 = 3k

k = 50/3

substitute k into the equation

c = [tex]\frac{50}{3}b[/tex]

In conclusion c is related to b by the equation c = [tex]\frac{50}{3}b[/tex]

Learn more about variation: https://brainly.com/question/25215474

#SPJ1

Answer:

4.5

Step-by-step explanation:

Answer: This is the numerator!

Step-by-step explanation:

The fraction line is well, the line.

The denominator is the number on the bottom.

And the numerator is the number on top!

This means that 3 is the numerator!

Answer: its the numerator because its on top

The greatest common factor of 96 and 144 is 48

Information given in the question

144

96

Greatest common factor can be found by listing the factors of the numbers required and choosing the common factors, the biggest number among them is the greatest common factor

listing the factors

144 =  1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96

the common factors = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48,

the greatest among the factors is 48

Learn more about Greatest common factor here:

https://brainly.com/question/25266622

#SPJ1

[tex]{ \sf{the \: equation \: of \: circle}}[/tex]

[tex]{ \red{ \sf{ {(x - h)}^{2} + {(y - k)}^{2} = {a}^{2}}}} [/tex]

The answer is 15.

From the question, we have

60 ÷ 4 = 15

The answer is 15.

Divide:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

Complete question:

Solve: 60 ÷ 4

To learn more about divide visit: https://brainly.com/question/15381501

#SPJ1

Answer: A.897.5 */* 100

Step-by-step explanation:

The time it will take to fill the pool if the patch is off while Donnie is filling it, found using the combined filling rate is 6 days.

A flow rate is the fluid volume that passes a specified area within a unit of time.

The number days it takes to fill the pool = 2 days

The number of days it takes for the pool to drain = 3 days

The rate at which the pool fills = [tex]\dfrac{1}{2}[/tex] per day

The rate at which the pool drains = [tex]\dfrac{1}{3}[/tex] per day

The number of days it will take the pool to fill while the patch is off is found from the combined filling rate as follows;

The combined filling rate is [tex]\dfrac{1}{2} -\dfrac{1}{3} = \dfrac{3-2}{6} = \dfrac{1}{6}[/tex]

The combined filling rate can be taken as a combined flow rate.

The combined filling rate for filling the pool while the patch is off is [tex]\dfrac{1}{6}[/tex], which is a 6th of the pool is filled per day, therefore, it takes 6 days to fill the pool while the patch is off.

Learn more about the flow rate of a fluid here:

https://brainly.com/question/13255644

#SPJ1

The 70th term of the arithmetic sequence is 1,122

Given,

In the question:

The Arithmetic Sequence is given as:

18, 34, 50 ,...

To find the 70th term of the sequence.

Now, According to the question:

First term is = 18

Second term is = 34

Common difference(d) = second term - first term

d = 34 - 18

d = 16

Write the general term through the pattern ;

[tex]a_n[/tex] = 16n + 2

We have to find the 70th term

Put the value of n = 70 in above general term:

[tex]a_7_0[/tex] = 16 x 70 + 2

[tex]a_7_0[/tex] = 1,122

Hence, The 70th term of the arithmetic sequence is 1,122.

Learn more about Arithmetic Sequence at:

https://brainly.com/question/10396151

#SPJ9

The probability of the complement of this event occurring is  5/6.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

Sample space: {1,2,3,4,5,6}

Total number of outcomes=6

Complement of an Event: All outcomes that are NOT the event

In this case:

So, possible outcomes in the complement event:{1,2,4,5,6}

Number of possible outcomes=5

Formula:

Probability = (Number of possible outcomes)/(Total number of outcomes)

                  = 5/6

So, the probability of the complement of this event occurring is  5/6.

To learn more about the probability from the given link

https://brainly.com/question/24756209

#SPJ4

Answer:

$31.99

Step-by-step explanation:

20 : 100 = x : 39.99

x = 39.99 * 20 / 100

x = 39.99 * 0.2 = 7.998

final price

39.99 - 7.998 = $31.992

Answer:

21.7 mi/hr

Step-by-step explanation:

Weight of the bear is irrelevant

Unit rate = 65.1 mi / 3 hr =   21.7 mi /hr

The equation which is useful to find "n" number of weeks to reach our goal is 35n + 100 = 800.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

As per the given table,

Amount of money in 0 weeks = $100

Amount of money in 1st week = $135

In 2nd week = $170, in 3rd week = $205

So there is a $35 increment each week.

Let's say it takes "n" number of weeks to reach the goal.

So, 35n + 100 = 800

Hence the answer is The equation which is useful to find "n" number of weeks to reach our goal is 35n + 100 = 800".

To learn more about the equation click here https://brainly.com/question/22688504

#SPJ4

The graph for each inequality is attached below.

We are given four inequalities. The first inequality is y ≥ x + 7. The second inequality is y > 2|x+3| - 3. The third inequality is 4x - 3y < 2. The fourth inequality is y ≤ (-1/2)|x + 2| - 3. In mathematics, an inequality is a connection between two expressions or values that are not equal to each other. An inequality compares two values to determine if one is less than, larger than, or simply not equal to the other. An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. A graph of every inequality is attached below.

To learn more about inequality, visit :

https://brainly.com/question/28823603

#SPJ1

Answer:

x = 80

Step-by-step explanation:

This shape is a pentagon, and all of the angles in a pentagon always add up to 540. So, using this, we can create an equation, 3x + 300 = 540. we can then use the reverse order of operations to solve this, first subtracting 300 from both sides. this gets us the equation 3x = 240. We then divide 3 from both sides to get x alone and get x = 80.

Answer:

  x = 80°

Step-by-step explanation:

You want the value of x given a pentagon with two angles marked with expressions in x.

The sum of interior angles in an n-gon is 180° × (n -2). For the 5-sided figure shown, the sum of angles is 180° × 3 = 540°.

Using this value, we have ...

  (x +40°) +125° +(x +5°) +(x +50°) +80° = 540°

  3x +300° = 540° . . . . . . simplify

  x +100° = 180° . . . . . . . divide by 3

  x = 80° . . . . . . . . . . . . subtract 100°

The value of x is 80°.

Answer: 373 children and 213 adults

Step-by-step explanation:

Children can be represented by x and adults can be represented by y.

x+y=586

1.75x+2y= $1078.75

x=586-y <-- substitute into 1.75x+2y=1078.75.

1.75(586-y) +2y=1078.75

1025.5 - 1.75y+2y =1078.75

0.25y = 53.25

y=213 adults

x + 213 = 586

x= 373 children

Check:

1.75(373) +2(213)=1078.75

1078.75=1078.75

The expression is 11(t/40-2)

From the question, we have

3/4t-5+2/5t-(5/8t+17)

=2t/5+3t/4-5t/8-22

=2t/5+t/8-22

=11t/40-22

=11(t/40-2)

Addition:

The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.

To learn more about addition visit: brainly.com/question/680614

#SPJ1