to return a book to the library on time, Billy needs to read 40 pages every day. However, Billy reads 15 fewer pages than he should each day, and returns the book 6 days late. In how many days was he supposed to read the book?
Using proportions, it is found that he was supposed to read the book in 10 days.
This question can be solved by proportions, using a inverse rule of three, as when the number of pages read per day increases, the time to finish the book decreases.Reading 40 pages every day, he finishes the book in x days. He read 40 - 15 = 25 pages every day, and finished the book in x + 6 days, hence, the rule of three is:40 pages - x days
25 pages - x + 6 days
Applying line multiplication, as it is an inverse rule of three:
[tex]40x = 25(x + 6)[/tex]
[tex]40x = 25x + 150[/tex]
[tex]15x = 150[/tex]
[tex]x = \frac{150}{15}[/tex]
[tex]x = 10[/tex]
He was supposed to read the book in 10 days.
A similar problem is given at https://brainly.com/question/24372153
When multiplying numbers with the same base you________ the exponents.
Answer:
add
Step-by-step explanation:
Answer:
When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.
Step-by-step explanation:
what is the slope?
what is the y-intercept?
Proportional or not proportional?
equation?
Answer:
slope=8
y-intercept=12
equation y=8x+12
Step-by-step explanation:
not sure if it is a Proportional or not proportional?
What is the missing constant term in the perfect square that starts with x2 + 18x
Answer:
81
Step-by-step explanation:
Take half of the x-term coefficient, and square it.
Half of 18 is 9.
9² = 81
Answer: 81
Pls solve this, it’s math
And only if you know the answer pls
Since the unit circle has a radius of 1 we know that r = 1 and that our angle is 60 degrees. Using sin and cos functions we can then find the x and y coordinates of point A. since [tex]cos(\alpha ) = \frac{x}{1}[/tex] and [tex]sin(\alpha ) = \frac{y}{1}[/tex] (where [tex]\alpha[/tex] = the angle)
[tex]A = (x,y) = (cos(a),sin(a))[/tex] because of the identity that cos(a) = x and sin(a) = y
Using the angle and the previously described identity we can find the coordinates with cos(60) = x = 1/2 and sin(60) = y = [tex]\frac{\sqrt{3} }{2}[/tex] to get A =(x,y) = [tex](\frac{1}{2},\frac{\sqrt{3} }{2})[/tex].
From here we can work backwards and find that BC = x = [tex]\frac{1}{2}[/tex] and that AC = y =[tex]\frac{\sqrt{3} }{2}[/tex] and finally we know that AB = r = 1 because it is a radius of the unit circle and must be 1.
-This probably isn't the way you were taught to solve this problem, but it is how we do it in physics and real-life.
Please help and explain. You don't understand it very well.
Answer:
y = (-1/2)x + 2
Step-by-step explanation:
The black line slopes down as we move from left to right, so we conclude that the slope is negative. From (0, 2) to (4, 0), y drops by 2 units (the rise) and x increases by 4 units (run).
Thus the slope is m = rise / run = -2/4, or m = -1/2.
The y-intercept is (0, 2), so the value of b in the equation y = mx + b is 2.
Thus the equation of this line is y = mx + b => y = (-1/2)x + 2
NO FILES NO LINKS ASAP
Answer: A = 117 units^2
Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.
A = (w)(l) A = (9)(13) A = 117 units^2
HELP QUICKKKKKKKKKKKKKKKKKKKKKKKKKKKK
Answer:
a is 7 b is 4 and c is -20
Step-by-step explanation:
it is always in order of a b and c
9 is what percent of 45?
Answer:
20%
Step-by-step explanation:
9/45 = 0.2
0.2*100 = 20
Ms. Suzuki is buying soda for the pizza party her class earned. She estimates that each of her
24 students will drink 250 milliliters of soda on average. How many 2-liter bottles of soda
should she buy?
Answer:
6
Step-by-step explanation:
250 mL is 0.25 L or 1/4 L.
1 L is enough for 4 students.
A 2-L bottles is enough for 8 students.
Since 24 students is 3 times 8 students, you need 3 times a 2-liter bottle.
Answer: 3
What is 216/162 written as an improper fraction in simplest form?
A.6/4
B.4/3
C.3/2
Answer:
4/3
Step-by-step explanation:
216 / 162
= 108 / 81
= 12 / 9
= 4 / 3
Answer:
The improper fraction is 4/3 because when you read the sentence and listen to the teacher it will tell you the answer because of your teacher giving you the answers you will get 100% on your assignment or Quiz.
Step-by-step explanation:
Brainliest Plz
what is 35/231 simplified
Answer:
5/33
......................................................
The Theater Club would like to take a trip to the local theater to see a play. They need to pay for admission to the play, lunch at the theater, and transportation to and from the theater. Admission to the play is $3 per person, and lunch costs $6 per person. It costs $55 to charter a bus for the event. The club raised $244 for the total cost of the trip. How many people can go on the trip?
Answer:
ok
Step-by-step explanation:
try and check the denominator and cross check with the first expense made
4.
Which of the following is the minimum value of the equation y= 1/3x^2 + 2x + 5?
A. 1/3
B. -3
C. 2
D. 5
Answer:
C. 2
Step-by-step explanation:
Use the formula
x = − b /2 a
to find the maximum and minimum.
( − 3 , 2 )
miss tan has 20 boys and 15 girls in her English class.What percent of the student are girls?
Step-by-step explanation:
it's 42.85 percent that you can say 42 or maybe 43
Is (3, 8) a solution to the equation y = 2x - 1? Explain your answer.
Answer:
No, because 2x3 - 1 =5, which proves it is incorrect
Step-by-step explanation:
Solve this. c+5.96=6.76
Answer:
c=0.8
Step-by-step explanation:
Step 1: Subtract 5.96 from both sides.
c+5.96−5.96=6.76−5.96
c=0.8
This scatter plot shows the height of a card tower and the amount of time used to build it (in minutes).
Based on the information in the scatter plot, what is the best prediction for the height of a card tower at 10 minutes?
Answer:
It’s 7 inches
Step-by-step explanation:
I hope this helps
Following the trend line of the scatter plot, the height of a card tower at 10 minutes, the best prediction that can be made given the answer options is:
5 inches.Recall:
A scatter plot can be used to make prediction as it shows how two variables are related.From the scatter plot given, it shows that as the amount of time increase, the height of the card tower also increases.
Therefore, following the trend line of the scatter plot, the height of a card tower at 10 minutes, the best prediction that can be made given the answer options is: 5 inches.Learn more about scatter plot on: https://brainly.com/question/20647477
divide 100,000 by 10 scores
10)100000(10000
10
___
××0000
Answer:
5000
Step-by-step explanation:
1 score = 20
10 scores
= 10 x 20
= 200
100,000 / 10 scores
= 100,000 / 200
= 5000
A restaurant allows groups to rent a private room in the restaurant for $50. This is in addition to the cost of food which is $10 per person.
Use the Ray tool to make a graph that shows C, the total cost for a group of p people to eat in the rented private room. Graph the ray by plotting two points. The first point selected must be the endpoint of the ray. The second point can be any other point on the ray.
Answer:
See attached
Step-by-step explanation:
First, our y-intercept must be $50 because no matter how many people come, there will be the cost of the room for $50. Then, for every person that comes, the price will increase by $10. Since the y-axis is going by tens, this will look like a 1/1 slope.
The first point is at (0, 50) and you can see the rest of the ray graphed
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The equation for line A is given by y= -3/4x-2. Suppose line A is parallel to line B, and line T is perpendicular to line A. Point (2,5) lies on both line B and line T. What is the equation for line B?
Answer:
y=4/3x+19/3
Step-by-step explanation:
perpendicular = slope is the negative reciprical.
plug in the point (-4,1) for (x,y)
1(y)=4/3(-4)+b
1=-16/3+b
b=19/3
Mr. Smith and Mr. Kelly are business partners they agreed to divide the profits in the ratio of 3 to 2 the profit amount of 24,000 how much did each person receive
Answer: Mr. Smith makes 14,400, Mr. Kelly makes 9,600
Step-by-step explanation: First add the ratio together. 3+2=5.
Then divide 24,000 into five parts, 24,000/5 = 4,800.
After getting 4,800, multiply 4,800 by 3 to get Mr. Smith's portion of the money received. 4,800 x 3 = 14,000.
And you can do the same for Mr. Kelly but use 2 instead of a 3.
4,800 x 2 = 9,600
To check your work you can add the two answers together
9,600 + 14,400 = 24,000.
i don’t know what’s going on here, can someone help me?
Answer:
[tex](\frac{a}2;\frac{a}2)[/tex]
Step-by-step explanation:
You simply need to apply the formula for the midpoint of a segment - which is provided.
[tex]M(\frac{0+a}2; \frac{0+a}2) \rightarrow M(\frac{a}2;\frac{a}2)[/tex]
A house on the market was valued at $478,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is
the current value of the house?
Answer:
$38240 increase$516240 current valueStep-by-step explanation:
Initial value of house is $478000
Change in value is 8% greater:
478000 + 8% = 478000 + 8*478000/100 = 478000 + 38240 =516240We need 8% of Value
[tex]\\ \sf\longmapsto 8\%\:of\;478000[/tex]
[tex]\\ \sf\longmapsto 0.08(478000)[/tex]
[tex]\\ \sf\longmapsto 38240\$[/tex]
Current value:-
[tex]\\ \sf\longmapsto 478000+38240=516240[/tex]
Mother is M years old, and she is 4 times as old as her daughter, her age is x+8/x. how much older is the mother than her daughter, Mary?
[tex]4(x + \frac{8}{x}) - (x + \frac{8}{x}) = 3(x + \frac{8}{x}) = 3x + \frac{24}{x}[/tex]
ok done. Thank to me :>
y = 6x + 11; x = 14; 2y - 4x = 14
Answer:
95=35
35=95
x=14
y=95
x=14
Step-by-step explanation:
The Roosevelts and the Jaspers live in the same city and pay the same sales
Roosevelts made $91,000 and the Jaspers made $37,000 last year, is the
sales tax in their city an example of a regressive tax?
tax rate, and both families made $16,000 in taxable purchases last year. If the If
Answer:
Yes, the sales tax in their city is an example of regressive tax
Step-by-step explanation:
Firstly, we need to understand what is meant by the term regressive tax.
What is meant by a regressive tax system is a system of taxation in which there is a decrease in tax rate as there is an increase in amount subjected to tax.
Now, the key to knowing if what we have in the question is a regressive taxation is by calculating the percentage of the tax that was paid.
For the Roosevelt’s , the percentage of tax paid would be 16,000/91,000 * 100% = 17.6%
For the Jasper’s, the percentage of tax paid would be 16,000/37,000 * 100% = 43.24%
We can see that at a lower amount subjected to tax, the Jasper’s paid more and thus we can conclude irrevocably that sales tax in their city is an example of a regressive tax
Mr. discrete told his students if everyone in the class did at least 35 of the 40 homework assignments for second nine weeks he would add 4% to their final test if he determines the score by doubling the number of correct problems out of 50 and then adding the bonus which inequality would determine the fewest problems a student could answer correctly and still have a A?
A student must answer at least 35 of the 40 homework assignments correctly to get an A.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
To determine the fewest number of problems a student could answer correctly and still get an A, we need to set up an inequality that represents the condition for getting an A.
If Mr. Discrete determines the score by doubling the number of correct problems out of 50 and then adding the bonus, then the score for each student can be represented by the equation:
2x + 4% × 50 = 100, where x is the number of correct problems.
If the student needs to get an A, then the score must be at least 90. Therefore, we can set up the inequality:
2x + 4% × 50 ≥ 90
Substituting 4% for 0.04, we get:
2x + 0.0450 ≥ 90
Solving for x, we find:
x ≥ 35
Therefore, to receive an A, a student must complete at least 35 out of the 40 homework assignments.
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ2
i’m physically begging for someone to help i do not understand
Answer:
Step-by-step explanation:
Graph the functions to find The solution.
f(x)=x^2 - 2
g(x)= 2x + 1
Answer: Look at the picture ⬇️