This weekend, Paul earned $42 selling
handmade drawings. He sold some
posters for $9 each and a drawing for
$15. Which equation represents this
situation?
A 42 = (9 + p) - 15
B 42 = (9+ p) + 15
c 42 = (9 x p) + 15
D 42 = (9 x p) - 15

The scale of the map is 1:2, the distance from Averton to Charlbrough is 12 kilometers, and the distance in the map is 6.25 cm.

We know that 25 kilometers are represented in the map using only 12.5 centimeters. Now, let's simplify this:

25 kilometers / 12. 5 cm = 2

This can be expressed as a scale of 1:2 in which each centimeter represents 2 kilometers.

We know the distance on the map is 6 cm, let's now convert this to kilometers:

6cm x 2 = 12 kilometers

We know the distance is 12.5, using this information let's find out the distance on the map.

12.5/ 2 =6.25 cm.

Learn more about scale in https://brainly.com/question/1287267

#SPJ1

There are 83210 subscribers after 5 days

The given parameters are:

The number of subscribers each day is calculated as:

f(n) = a * (1-r)^n

This gives

f(n) = 93000 * (1 - 2.2%)^n

Evaluate the difference

f(n) = 93000 * 0.978^n

At 5 days, we have:

f(5) = 93000 * 0.978^5

Evaluate

f(5) = 83210

Hence, there are 83210 subscribers after 5 days

Read more about exponential functions at:

https://brainly.com/question/2456547

#SPJ1

Distance can be defined as the amount of ground covered (traveled) by a physical object over a specific period of time and speed, regardless of its direction, starting point or ending point.

Mathematically, the distance (traveled) by a physical object can be calculated by using this formula:

Distance = speed × time

Making time the subject of formula, we have:

Time = distance/speed

Next, we would calculate the amount of time it will take for the two couriers to meet:

t = d/(Vm + Vn)

t = 8/(1 + 3)

t = 8/4

Time, t = 2 hours.

For the meeting time, we have:

Meeting time = 8:00 AM + 2 hours

Meeting time = 10:00 AM.

For the distance from M, we have:

Distance = 1 × 4

Distance = 4 km.

For the distance from N, we have:

Distance = 3 × 4

Distance = 12 km.

Read more on distance here: https://brainly.com/question/10428039

#SPJ1

Complete Question:

Two couriers leave two cities M and N(N is west of M) distant from each other 8kms and both go east. The one from M leaves at 6:00am and goes 1k/h and the one from N leaves at 8:00am and walks 3k/h. At what time did they meet and at what distance from M and N?

From 8:25 am to 30 seconds past 8:29 am, there are 4.5 minutes. Her speed is calculated by dividing the distance of the post office from her house by the time.

         Speed = 0.75 mile / 4.5 minutes = 1/6 mile / minute

Determining the number of minutes she will have to take in order to reach school,

         Time = 3.42 mile / (1/6 mile/minute) = 20.52 minutes

Adding this to the initial time,

           Final time = 8:25 am + 20.52 minutes

                    = 8:45 am and 31.2 seconds.

She will reach the school on time even without increasing her speed.

Answer:

his average speed is 8

Step-by-step explanation:

The result of completing the square for the equation -6x² - 582 = −60x will be (x - 5)² = - 72.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The equation is given below.

-6x² - 582 = −60x

Simplify the equation, then we have

-6x² - 582 = −60x

-6(x² + 97) = - 60x

x² + 97 = 10x

x² - 10x = - 97

x² - 10 + 25 = 25 - 97

(x - 5)² = - 72

The result of completing the square for the equation -6x² - 582 = −60x will be (x - 5)² = - 72.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

#SPJ1

Answer:

First u get the Y by itself then you read the less than or equal to or greater than or equal to.

Step-by-step explanation:

hope it helps

Answer:

x = 1.04, w = 2

Step-by-step explanation:

104 = 1.04 × 10²

Answer:

1.04 x \(10^{2}\), so your answer is x = 1.04, w=2

a). The distance between A and C is derived to be 42° to the nearest degree.

b). The bearing of the point C with respect to A is equal to 72°

Bearing is usually measured in degrees, with 0° indicating the reference direction (usually North), and increasing clockwise to 360°. It refers to the direction or angle between a reference direction and a point or object.

Let ∆ABC be the triangle formed with bearings so that:

angle B = 30° + 90° + 15°

angle B = 135°

AB = 20km

BC = 25km

a). The distance between A and C is calculated using the cosine rule as follows:

AC² = 20² + 25² - 2(20)(25)cos135° {cosine rule}

AC² = 1025 + 707.1068

AC = √1732.1068 {take square root of both sides}

AC = 41.6186 approximately 42°

b). The bearing of the point C with respect to A is the angle from the north of A to the line AC, so;

bearing of the point C with respect to A = 30° + 42° = 72°

Therefore, the distance between A and C is derived to be 42° to the nearest degree and the bearing of the point C with respect to A is equal to 72°

Read more about bearing here:https://brainly.com/question/22518031

#SPJ1

Weekly change: 40

Initial investment: 450

Given that,

Tony is transferring funds to his checking account. Let y signify the overall balance of the account's funds (in dollars). Let x be the quantity Bill has been adding money for in weeks. Assume that 40x+450=y represents the equation between x and y.

Given that x is the number of weeks Bill added money, this indicates that he was depositing $40 into the account every week.

Because x denotes the number of weeks he was contributing money and x is by 40, not 450, the initial amount was 450.

Therefore, Weekly change: 40 and Initial investment: 450

To learn more about equation click here:

brainly.com/question/29538993

#SPJ4

Answer: 13

Step-by-step explanation:

Step-by-step explanation:

I don't have a calculator with me right now but I can give you the equation to work out your answer.

cos-1(35/38)

There should be a function of "cos-1" on you're calculator, not just "cos"

hope it helps :)

Answer: B

Step-by-step explanation:

Based on the graph, we know that it is increasing if it is going up from left to right.

A: incorrect

Looking at choice A, it says the interval is from -5<x<-4. This means we have to find x=-5 and x=-4. On the graph, that interval is going down from left to right, so it is decreasing.

B: correct

Looking at choice B, it says the interval is from -2<x<2. This means we have to find x=-2 and x=2. On the graph, that interval is going up from left to right, so it is increasing.

C: incorrect

Looking at choice C, it says the interval is from 3<x<4. This means we have to find x=3 and x=4. On the graph, that interval is going down from left to right, so it is decreasing.

Therefore, B is the correct answer.

Answer:

Your answer is wrong, H is the correct answer.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.

The total number of groups in the study of one way ANOVA with the given condition of variable and levels is four different groups and number of different factors in one-way ANOVA is equal to one.

In a one-way ANOVA with one independent variable with four levels, there are four different groups in the study.

Each group represents a level of the independent variable.

There is only one factor in a one-way ANOVA.

The factor is the independent variable with the four levels, which is used to classify the groups in the study.

The factor is what the researcher is interested in studying.

And the ANOVA is used to determine if there are any statistically significant differences in the mean scores between the groups.

Learn more about groups here

brainly.com/question/23309302

#SPJ4

Answer:

distance: 2

midpoint: -4,-3

The simple interest rate on the account is 13%

Here Sunil deposited $400 for one and a half years, and the interest he gets is $78. He deposits in at the simple rate of interest.

We know that the simple interest formula is

     Simple interest = Principle × time × rate/ 100

It is given that,

            simple interest = $78

            time = 1 \(\frac{1}{2}\) year = 3/2 year

            Principle = $400

Let the rate of interest be r

So we have

     78 =( 400 × 3/2 × r )/100

     r =( 78 × 2×100) / (400 × 3)

     r = 39%

Therefore the simple interest rate on the account is 13%.

To know more about the simple interest refer to the link given below:

https://brainly.com/question/2294792

#SPJ1

Answer:

w=4ft

Step-by-step explanation:

To find the volume of all pairs of vertices (s, t) in a directed graph G using an efficient Dijkstra-like algorithm, we can adapt the Dijkstra's algorithm with some modifications.

Here is the algorithm:

Initialize all vertices' volumes as negative infinity, except for the starting vertex s, which has a volume of 0.

vol(v) = -∞ for all v in G.V

vol(s) = 0

Create a priority queue Q to store vertices based on their volumes (minimum volume first). Initially, insert vertex s into Q.

While Q is not empty, do the following:

a. Extract the vertex u with the minimum volume from Q.

b. For each neighbor v of u:

Calculate the capacity of the path from s to v via u: cap(s, v) = min(cap(s, u), w(u, v)), where w(u, v) is the weight of the arc from u to v.

If cap(s, v) > vol(v), update vol(v) with cap(s, v) and insert v into Q if it's not already present.

After the algorithm finishes, the volumes vol(s, t) will represent the maximum capacity of paths from s to t for all vertices t in G.V{s}.

This modified Dijkstra-like algorithm finds the maximum capacity (volume) from s to all other vertices by considering all possible paths and updating the volume as we encounter smaller capacities along the way. By using a priority queue to extract the minimum volume vertex efficiently, the algorithm can run in O((|V| + |E|) log |V|) time complexity, where |V| is the number of vertices and |E| is the number of edges in the graph.

To learn more about volume here:

https://brainly.com/question/28058531

#SPJ4

Anna should multiply the prices on the tags by 0.93 to find the price she would have to pay before tax in one step.

Given that Anna has a loyalty card good for a 7% discount at her local grocery store.

We have to find the number should she multiply the prices on the tags by to find the price she would have to pay, before tax

Anna should multiply the prices on the tags by 0.93 (which is 1 minus the 7% discount) to find the price she would have to pay before tax in one step.

For example, if an item costs $10 before the discount, Anna would pay $10 x 0.93 = $9.30 after the discount.

Hence, Anna should multiply the prices on the tags by 0.93 to find the price she would have to pay before tax in one step.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ1

The probability that all four strawberry pieces will be received by the same child 9/10 outcome.

Total piece of candy = 40

Mint flavor = 36

Strawberry = 04

There are 36 + 04 = 40 total outcomes for the chocolate pick.

There are 36 outcomes resulting in you picking a mint candy.

Probability is the number of outcomes you’re testing for divided by the number of total outcomes. So in this case that’s 36/40 or 4/5 . And also,  

04 /40 = 1/10

Therefore, adding both, we get,

4/5 + 1/10 = 9/10

The probability that all four strawberry pieces will be received by the same child is 9/10.

Learn more about Outcome:

https://brainly.com/question/17238771

#SPJ4

Answer:

30.96 \(in^2\)

Step-by-step explanation:

Given that

Side of square = 12 in

Diameter of circle = 12 in

We know that, radius is half of diameter,

So, r = 6 cm

We have to find the area of square which is not covered by the circle.

i.e. Required Area = Area of Square - Area of Circle

Please refer to the attached to have a better understanding of the given situation.

Formula:

Area of square = \((side)^2\)

Area of circle = \(\pi r^2\)

Required Area = \(12^2\) - \(\pi \times 6^{2}\)

\(\Rightarrow 144 - 3.14 \times 36\\\Rightarrow 144 - 113.04\\\Rightarrow 30.96\ in^2\)

So, the answer is 30.96 \(in^2\).

Answer:

1+2=3

2*3=6

3*2=6

6-6=0

7*0=0

0/7=0

0+52=52

Answer: I believe it's 55.

Step-by-step explanation:

I replaced the letters with the numbers in the key, so it looked like this "7[3^(2)-2(1+2)]-:7+52" I really hope this helps but I'm not amazing. Goo luck! ^^

The best description of the data on the line plot is: "D. The data is symmetric, with a range of 4. This might happen because the most popular price of a book at this store is $4."

A symmetric data on a line plot means that the data is evenly distributed around the center. In other words, the data points on one side of the center are mirror images of the data points on the other side of the center.

For example, the set of data values displayed on the line plot shows that the data points on one side of the line (the center) are balanced by the data points on the other side of the line. This indicates that the data is evenly distributed and has no significant skewness or bias towards one side.

The range of the data = 6 - 2 = $4.

The mode is also $4

Therefore, the correct option is: option D.

Learn more about symmetric data set on:

https://brainly.com/question/27900879

#SPJ1

Answer: i think 300

Step-by-step explanation: i divided 240 by 4 and got 60 then multiplied 60X5=300

Answer:

300 miles in five hours.

Step-by-step explanation:

speed = distance/time

distance = speed*time

240/4=60

d= 60*5

d=300 miles in five hours.

Word explanation:

You can use the formula, speed=distance/time to find the speed which is 60 mph. Now use the formula for distance which is distance= speed*time. The answer would be 300 miles in five hours.

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

To learn more about factor click here

brainly.com/question/26923098

#SPJ11

Answer:

infinetly many

Step-by-step explanation:

6x-48+20 = 6x-28

Answer: x=764/3 so one solution

Step-by-step explanation:

remove the parentheses / multiply

0.6x-4.8+20=168

calculate

0.6x+15.2=168

move the constant to the right

0.6x=168-15.2

calculate

0.6x=152.8

solution x=764/3

alternative forem

x=254 2/3,x=254.6

Answer:

3:2

Step-by-step explanation: