Mrs. Winkle downloaded 93 songs and Mr. Winkle downloaded 127 songs, which equals the total of 220 songs they downloaded together.
The total number of songs downloaded by Mr. and Mrs. Winkle is 220. If Mr. Winkle downloaded 34 more songs than Mrs. Winkle, we can set up a system of equations to solve for the number of songs each downloaded. Let x represent the number of songs Mrs. Winkle downloaded, so Mr. Winkle downloaded x + 34 songs.
The equation representing the total number of songs downloaded by both is:
x + (x + 34) = 220
Combining like terms gives us:
2x + 34 = 220
Subtracting 34 from both sides, we get:
2x = 186
Dividing both sides by 2, we find:
x = 93
So, Mrs. Winkle downloaded 93 songs and Mr. Winkle downloaded 93 + 34, which is:
Mr. Winkle downloaded 127 songs.
The Masons are driving home from a trip. The function graphed models the Masons' distance from home, y, in miles, after x hours of driving.
What do the key features of the graph indicate in this situation?
Drag and drop the answers into the boxes.
ANSWER
The key features are:
1. The y-intercept which is [tex](0,400)[/tex].
This means that at time [tex]x=0[/tex], the Masons are [tex]400[/tex] miles away from home.
2. The x-intercept which is [tex](8,0)[/tex].
This means after [tex]8[/tex] hours the Masons reached home.
The reason is that [tex]y=0[/tex] miles. This means that there is no distance between the Masons and their home.
3. The slope of the graph which is [tex]\frac{distance}{time}[/tex] tells us the speed at which they travel towards their home.
[tex]Speed=|\frac{0-400}{8-0}| =|-50|=50[/tex].
This means they traveled at a speed of [tex]50miles/hour[/tex].
The negative slope of the graph tell us that the distance is reducing as they approach their home.
A shop sells three types of boots sales are usually in the ratio of 6:2:3 last month 24 football boots were sold how many boots altogether were sold last month
Answer:
44 boots were sold last month. Not 22.
Step-by-step explanation:
x = football boots
y = rugby boots
z = hiking boots
Now we write the equations:
(x / y) = 6/2
(y / z) = 2/3
For x = 24 we have:
(24 / y) = 6/2
(24 / y) = 3
y = 24/3
y = 8
On the other hand:
(y / z) = 2/3
(8 / z) = 2/3
(8) * (3/2) = z
z = 12
So, the sum is:
x + y + z = 24 + 8 + 12 = 44
It takes Olive 20 minutes to read 5 pages of her book. At what unit rate is olive reading?
For this case we can find the unit rate in number of minutes per page.
To do this, we divide the total time between the number of pages.
We have then:
[tex]r = \frac {20} {5} \frac {min} {pag}\\r = 4 \frac {min} {pag}[/tex]
Answer:
The unit rate olive is reading is:
[tex]r = 4 \frac {min} {pag}[/tex]
In 2009, John paid $7,890 in federal income tax. In 2010, he paid 50% less. How much did John pay in 2010?
what is the greatest common factor of x2y and xy2 ?
BTW, the twos are supposed to be small and in the top right corner of the number before it, but it won't let me put it there.
Someone help me please.
−0.9+2.0 Please answer
Answer: 1.1 hope i helped u guys
Step-by-step explanation:
HELP ME PLEASE!!!!!!
simplify:
-4x^2(3x-7)
given the inequality 3(x - 4)>bx, for what value of "b" are there no solutions?
an angle measures 16 degrees less than three times its supplement find the measure of the angle
Jon and Lexi are playing a marble game. According to their rules, 6 points are awarded for each red marble collected and 2 points are awarded for each blue marble collected. Which expression represents Jon's total score if he has r red marbles and b blue marbles? 6r − 2b 6r + 2b 6r − 4b 8rb
1. 6 points are awarded for each red marble collected, then for r red marbles collected are awarded 6r points.
2. 2 points are awarded for each blue marble collected, then for b blue marbles collected are awarded 2b points.
3. If he has r red marbles and b blue marbles collected, then in total Jon has score 6r+2b.
Answer: correct choice is B.
Anthony is making a collage for his art class by picking shapes randomly. He has five squares, two triangles, two ovals, and four circles. Find P(a square is not chosen first).
PLEASE HELP!
15 POINTS
Answer:
C) P = [tex]\frac{8}{13}[/tex]
Step-by-step explanation:
Square: 5
Triangle: 2
Ovals: 2
Circles: 4
Using formula of probability:
Probability = [tex]\frac{Favourable Outcomes}{Total Outcomes}[/tex] ----- 1
Total Outcomes: 5 + 2 + 2 + 4 = 13
Favourable Outcomes: 2 + 2 + 4 = 8 (Excluding 5 squares)
A sqaure is not chosen first, which means that any shape of the rest of 8 shapes can be chosen
so eq 1 becomes
P = [tex]\frac{8}{13}[/tex]
The x-intercept is the x-coordinate of the point where a graph crosses the x-axis.What is the slope of a line that has a y-intercept but no x-intercept?Explain.
Answer:
slope = 0
Step-by-step explanation:
Given that the line has no x intercept. This means that the line does not intersect the x-axis at all. This can happen only if the line is parallel to the x axis. The line does have a y intercept. Si the line does intersect the y axis.
When a line is parallel to the x axis, its slope is 0.
Expressing the equation of the line in intercept format :
y = mx + c , where m is the slope and c is the intercept
In this case, the slope m is 0 .
So the equation becomes y = c.
the sum of two integers is 6 create a list of the possible two integers
a geologist noticed that land along a fault line moved 24.8 cm over 175 yrs on average how much did the land move each year
A line contains the points (−26, −37) and (−32, −61) .
What is the slope of the line in simplified form?
Enter your answer in the box.
Answer:
The slope of the line containing the points (-26,-37) and (-32,-61) is 4
Step-by-step explanation:
Given:
Two points of the line (-26,-37) and (-32,-61)
To find:
Slope(m) of the line =?
Solution:
The Equation of slope of two points is
[tex]Slope m=\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
Let (-26,-37) be[tex](x_1,y_1)[/tex]
and (-32,-61) be [tex](x_2,y_2)[/tex]
Now substituting the values ,
[tex]m=\frac{(-61+37)}{(-32+26)}[/tex]
[tex]m=\frac{-24}{-6}[/tex]
m=4
Thus the slope of the line is 4
An investment of $750 earns 3.3% Interest compounded monthly. What is the equation that modelsThe value of investment
Final answer:
To find the value of an investment with monthly compound interest, you use the formula [tex]A = P(1 + r/n)^{nt}[/tex]. For a $750 investment at a 3.3% interest rate compounded monthly, the equation is [tex]A = $750(1 + 0.033/12)^{12t}[/tex]. The formula accounts for principal, interest rate, compounding frequency, and number of years.
Explanation:
To model the value of the investment with compound interest, we use the compound interest formula:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
Where,
So for an investment of $750 at a 3.3% interest rate compounded monthly, the equation would be:
[tex]A = 750(1 + \frac{0.033}{12})^{12t}[/tex]
This equation can be used to calculate the value of the investment after t years. Monthly compounding means that the interest is calculated and added to the account balance 12 times a year.
B
ryn had $525 which was 70%of the total amount needed for a deposit on an apartment. what was the total deposit needed
A number cube will be rolled 100 times as part of an experiment. Which calculation would you use to predict the number of times a 4 will be rolled?
Answer:
(100) (1/6)
A cube has six sides the odds of rolling a four is 1 in 6 and you rolled a 100 times
One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below shows the results. If one of the 100 employees is randomly selected, find the probability that the person drives alone or bicycles to work.
public transportation: fulltime-9 parttime-8
bicycle: fulltime-3 parttime-4
drive alone:fulltime-32 parttime-28
carpool:fulltime-9 parttime-7
Answer:
0.67
Step-by-step explanation:
There are 3+4 = 7 people who bicycle to work. There are 32+28 = 60 people who drive alone to work. This makes 7+60 = 67 people.
This makes the probability 67/100 = 0.67.
The probability that the person drives alone or bicycles to work is 0.67
What is probability?Probability is a measure of the likelihood of a statement or a theoretical expectation is correct.
Given that, 100 employees of a company are asked how they get to work and whether they work full time or part-time,
People who drive bicycle to work = 3 + 4 = 7
People who drive alone to work = 32 + 28 = 60
People who drive alone or with bicycle = 7 + 60 = 67
The probability that the person drives alone or bicycles to work = 67/100 = 0.67.
Hence, The probability that the person drives alone or bicycles to work is 0.67
For more references on probability, click;
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nasir has an annual salary of $64000, and his company pays him twice a month. What is the gross income per paycheck that Nasir receives
Answer:
2666.67 dollars.cents
In a company, 60% of the workers are men. 2,120 women work for the company, how many workers are there in all?
The preventative maintenance plan for your automobile is $896. If you were required to replace your water pump and starter for $316 and $443, respectively, how much did the repairs cost you?
A. $896 (Would the maintenance plan cover it so it would just be 896?)
B. $316
C. $661
D. $1,655
Answer:
Option A is correct because the maintenance plan covers the cost of repair.
Step-by-step explanation:
We are supposed to replace water pump and starter for $316 and $443, respectively.
So, total cost = [tex]316+443[/tex]
= $759
Since we are given that the preventative maintenance plan for your automobile is $896.
The total cost of repair is under the maintenance plan .
So, the answer is $896.
Option A is correct because the maintenance plan covers the cost of repair.
78 is three times a number
12 is a percentage of 43
add two fractions to determine the fraction equal to 0.1545454
To add two fractions, convert the decimal fraction to a proper fraction by placing the decimal part over an appropriate power of 10. Then, find a common denominator and add the fractions together. Finally, simplify the resulting fraction if possible.
Explanation:Addition of FractionsTo add two fractions, you need a common denominator. Since the given fraction is a decimal, you can convert it into a fraction by placing the decimal part over the appropriate power of 10. In this case, 0.1545454 can be written as 1545454/10000000. Now, find a common denominator between the two fractions and add them together.
For example:
Convert the given fraction to 1545454/10000000.Find a common denominator, such as 100.Convert both fractions so they have the same denominator, in this case 100, by multiplying the numerator and denominator of each fraction by appropriate factors.Add the numerators together and write the sum over the common denominator.Simplify the fraction if possible.By following these steps, you can determine the fraction equal to 0.1545454.
Learn more about Adding Fractions here:https://brainly.com/question/30386214
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A giraffe can run up to 46.93 feet per second. How far could a giraffe run in 1.8 seconds? Justify your answer.
John has a bag of marbles that contains 12 red marbles, 20 green marbles, and 17 blue marbles. Homework Help ✎ If John pulls one marble out of the bag, what is the probability that it will not be red? That is, P(not red)?
-7(k+9)=9(k-5)-14K
( Show work please )