Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. If Hugh bought 3 magazines, how many books did he buy?
The equation that models the problem is 3.95m + 8.95b = 47.65, where m is the number of magazines and b is the number of books.
__ books
Answers
Answer:
4 books
Step-by-step explanation:
Our problem here is:
[tex](3.95)3+8.95b=47.65[/tex]
So we have to find B, and that will be our answer (the number of books).
1. Simplify the expression
[tex]3.95\cdot 3+8.95x=47.65[/tex]
Combine like terms:
[tex]11.85+8.95x=47.65[/tex]
2. Group all constants on the right side of the equation
[tex]11.85+8.95x=47.65[/tex]
Subtract from both sides:
[tex]11.85+8.95x-11.85=47.65-11.85[/tex]
Group like terms:
[tex]8.95x+11.85-11.85=47.65-11.85[/tex]
Simplify the arithmetic:
[tex]8.95x=47.65-11.85[/tex]
Simplify the arithmetic:
[tex]8.95x=35.8[/tex]
3. Isolate the x
[tex]8.95x=35.8[/tex]
Divide both sides by 8.95:
[tex]\frac{8.95x}{8.95}=\frac{35.8}{8.95}[/tex]
Simplify the arithmetic:
[tex]x=\frac{35.8}{8.95}[/tex]
Simplify the arithmetic:
[tex]x=4[/tex]
Hence, the number of books is 4
Related Questions
WILL GIVE BRIANLEST!!!!!!!!!!!
Six times a number is 42. What is the number?
42
n
n
n
n
n
n
6
7
36
48
Answers
Answer:
The answer is 7.
6 × 7 = 42
If u check ur tables book I will see that six times seven is forty two
Answer:
The answer is 7
Step-by-step explanation:
6×X=42
x=42/6
x=7
Point A is located at (-2, -6) and is translated 4 units up. What are the coordinates of point A'?
1. (-2, -2)
2. (2, -6)
3. (-6, -6)
4. (-2, -10)
Answers
Answer:
Number 1, (-2, -2)
Step-by-step explanation:
Two groups of students were asked how many hours they spent reading each day. The table shows the numbers for each group:
Group A 1 2 1 1 3 3 2 2 3
Group B 3 2 3 2 2 2 1 1 2
Based on the table, which of the following is true?
The interquartile range for Group A students is 0.5 less than the interquartile range for Group B students.
The interquartile range for Group A students is equal to the interquartile range for Group B students.
The interquartile range for Group A students is 0.5 more than the interquartile range for Group B students.
The interquartile range for Group A students is 1 more than the interquartile range for Group B students.
Answers
Answer:
The interquartile range for Group A students is 1 more than the interquartile range for Group B students. (Please read explanation it took me a long time and I think it may be helpful)
Step-by-step explanation:
The interquartile range is the difference between the third quartile and the first quartile. To find these values, we have to list the values out (typically from lowest to highest).
For group A, the values can be ordered as:
1 , 1 , 1 , 2 , 2 , 2 , 3 , 3 , 3
For group B, the values can be ordered as:
1 , 1 , 2 , 2 , 2 , 2 , 2 , 3 , 3
To find the quartiles, you first need to find the "second quartile"--the median of the data set. The median of a data set is the middle number if you list the values from lowest to highest. (If there are two numbers in the middle, you find the mean/average between the two by dividing the sum of the values by 2, which gets one number for the median).
In the data set: 1 , 2 , 3 , 4 , 5 , 6 , 7 ,
Your median would be 4.
(It is three away from both ends of the data set.)
Once you find the median/Q2[Q2 = 2nd Quartile], you can split off the data into two different groups.
You could consider the data set to be 1 , 2 , 3 , | | 5 , 6 , 7
Now, the Q1 is the median (middle number) of the first split of the data, and the Q3 is the median of the second half of the data.
So, the Q1 would be 2, and the Q3 would be 6.
To find the interquartile range, you find the difference between these two values: 6 - 2 = 4 ; IQR = 4
Going back to your problem,
For group A, the values can be ordered as:
1 , 1 , 1 , 2 , 2 , 2 , 3 , 3 , 3
The middle number here is 2. If we split the data into two halves, we end up with:
1 , 1 , 1 , 2 | | 2 , 3 , 3 , 3
Now, the median of the first half is 1, and the median of the second half is 3.
So, your median is 2 (Q2 = 2)
your first quartile is 1 (Q1 = 1)
and your third quartile is 3 (Q3 = 3)
Finding the IQR of this data set means finding the difference/range between 1 and 3, which we know is 2 (3 - 1 = 2)
-----
For group B, the values can be ordered as:
1 , 1 , 2 , 2 , 2 , 2 , 2 , 3 , 3
The middle number here is also 2. If we split this data set into two halves, we end up with:
1 , 1 , 2 , 2 | | 2 , 2 , 3 , 3
Now the median of the first half is 1.5 (the mean/average between 1 and 2), and the median of the second half is 2.5 (the mean/average between 2 and 3).
So, your median is 2 (Q2 = 2)
your first quartile is 1.5 (Q1 = 1.5)
and your third quartile is 2.5 (Q3 = 2.5)
The IQR can be found by finding the range between the first quartile and the third quartile. For this data set, we find the IQR by finding the difference/range between 1.5 and 2.5, which we know is 1 (2.5 - 1.5 = 1).
So, the interquartile range for Group A is 2, and the interquartile range for Group B is 1. This means that the interquartile range for Group A is 1 more than the interquartile range for Group B.
[the first quartile (Q1) is the 25th percentile,
the second quartile (Q2) is the 50th percentile,
and the third quartile (Q3) is the 75th percentile].
[IQR = Interquartile Range]
(You can look it up for a more thorough explanation, but simply put, the interquartile range tells you how spread out the middle values are. Finding the Q1 and Q3 can essentially be used to find outliers, as you can assume the data outside of them are not the main set of data. Although this is not the technical way to find outliers, it can help you determine what data is actually important. If your data has a large range / large interquartile range, your middle data is spread out--and your values have a larger difference between them. The reasoning that only considering the range of the interquartile is valuable is that it isn't heavily impacted by the extreme outliers (like, for example, if a student spent 15 hours reading per day) like the average or overall range could be. )
group B 1,1,2,2,2,2,2,3,3
This composite figure is made up of three simpler shapes. What approximate area of the figure use 3.14 for Pi. A,B,Cor D?
Answers
Answer:
B. 24.28 square feet
Step-by-step explanation:
To find the area of the entire composite figure, you will want to find the area of each shape in it and add them up. Personally, I like to start with the easiest one so in this case I would start with the rectangle.
To find the area of the rectangle, you must multiple length and width (l × w or b × h). So you would multiple 4ft by 3ft in this problem. The area of the rectangle then is 12 squared feet (12 ft²).
Next, find the area of the triangle using the formula 1/2×b×h (base= b; height= h). This is because since triangles are basically just squares and rectangles cut in half, all you would do it do the extra step of multiplying it by 1/2. In this problem, after substituting, you would get 1/2(4)(3). The area of the triangle then is 6 squared feet (6 ft²).
Finally, you want to find the area of the semi-circle. To do so, you must use the formula for finding the area of a circle which is π(r)². It is important to pay attention to what is given in the problem because of including the wrong number in your calculations.
In this problem, you are given the diameter of a circle, but what you need is the radius (per the circle area formula) so all you need to do it half it.
Diameter= 2r or Radius = 1/2D
This gives you the fact that the radius of a circle from this problem is 2 because the diameter is 4. HOWEVER, you need to remember that this problem is not asking you to include the area of a circle, it is asking for a semi-circle. This means that you would have to half the answer you get.
There are two easy ways of doing so for this case like:
1/2 π(2)² 1/4 π (2)²
Just plug either equation into the calculator and have it solved to have the area of the semi-circle.
The last and easiest step is just adding all 3 areas calculated to get the approximate total area of the figure!
12+6+6.28= 24.28 squared feet (24.28 ft ²)Point A is located at (-2, 4). After it is transformed, point A' is located at (2, 4). What could the transformation be?
1. A reflection in the y-axis
2. A translation 4 units to the right
3. A rotation of 90° around the origin
4. A translation 4 units up
Answers
please look at answer is attched
hurry ill give brainly
Answers
Answer: The answer would be 15
Hope this helps
some one answer these questions pls
Answers
Answer:
do the first part yourself but for part b you have to do this
Step-by-step explanation:
(10+8)×(8+8)×(8+10)=5184mm
how much is thirteenth 1 cents + 7 dimes + 1 five cents equal?
I'm trying to make a dollar *
Answers
Answer:
I think it is 21sorry if wrong
Answer:
76 cents close to a dollar but not quite there yet
Step-by-step explanation:
What is the answer to 83-54?
Answers
Answer: 29
Step-by-step explanation:
This was one of my questions, I forgot I had to do this.
Answers
Answer:
Step-by-step explanation:
Discussion
I can sympathize with your confusion. You might be helped if you knew what the squares meant. Is 1 square = 1 inch or 4 miles? You don't know and can't tell. So I'm going to say that 1 square is 1 unit.
Givens
The vertical line is 3 units long.
The horizontal line is 4 units long.
Formula
Area = 1/2 horizontal * vertical or
Area = 1/2 * base * height Substitute givens into this formula
Substitution and Solution
Area = (1/2) 3*4
Area = (1/2) 12
Answer: Area = 6 units
Whats 2x(4+5x)
If the x was 5.
Answers
Answer: 290
Step-by-step explanation:
Plug in the value 5 for x
2(5) (4+5(5))
Then use PEMDAS to solve:
P - parentheses (Multiple then add)
5(5)=25
4+25=29
M - multiple
2(5)=10
10 (29) = 290
Answer:
THE ANSWER IS 58
Step-by-step explanation:
Consider the dot plot below. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?
A dot plot with an axis marked from 0 to 10 at increments of 1 is shown. The plot shows 10 dots at 0, 8 dots at 1, 4 dots at 2, 3 dots at 3, and 1 dot each at 4 and 10.
A. The data are skewed and there is an outlier.
B. The data are symmetric and there is an outlier.
C. The peak is equal to the median and the data are skewed.
D.The mean is equal to the median and the data are symmetric.
Answers
The data are skewed and there is an outlier statement first is correct.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have data on the box plot.
Because the dots decrease as the number line grows, the depicted dot plot is skewed right.
The graph's "tail" is pushed toward greater positive numbers. As a result, the mean is pushed towards the graph's tail and is higher than the median.
Thus, the data are skewed and there is an outlier statement first is correct.
Learn more about the box and whisker plot here:
brainly.com/question/3209282
#SPJ1
PLS HELP
Yvubijomobytcrcvyb
Answers
Answer:
Ha? Hakdog
Step-by-step explanation:
Mag aral ka mag isa mo wg asa sa brainly ulol
Explain and provide an example of the conditional probability formula, addition rule of probability, and multiplication rule.
Answers
Answer:
P(A ∪ B) = P (A) + P(B) – P(A ∩ B)
Step-by-step explanation:
Conditional probability: p(A|B) is the probability of event A occurring, given that event B occurs. For example, given that you drew a red card, what's the probability that it's a four (p(four|red))=2/26=1/13. So out of the 26 red cards (given a red card), there are two fours so 2/26=1/13.
Lamar and his family sell strawberry jelly and blueberry jelly at the farmers' market every Saturday. So far this year, they have sold a total of 973 jars of jelly. If they have sold 449 jars of blueberry jelly, how many jars of strawberry jelly have they sold?
Answers
Answer:
524
Step-by-step explanation:
973-449=524
What is the radius and diameter of the following circle?
Radius ==equals
\text{cm}cmstart text, c, m, end text
Diameter ==equals
\text{cm}cm
Answers
And radius is half so 11 radius 22 diameter
AD, BE and CF are all diameters of the circle. The measure of angle AOB is 40 degrees. The measure of angle DOF is 120 degrees.
Find the measures of the following angles:
1. BOC
2. COD
Answers
Answer:
Boc= 80..it's opposite to the other and equal.
cod is 60. if you substract 360- 240 you get 120..then in half you gibd 60
Financial Literacy Budget
Answers
(Will give 20 points) There are a total of 52 students on the soccer team and the field hockey team. The field hockey team has 12 more students than the soccer team. Write a system of linear equations that fits this situation. How many students are on the soccer team x and the field hockey team y?
Answers
Answer:
x + y = 52
y = x + 12
(soccer team) x = 20, (hockey team) y = 32
Step-by-step explanation:
x = students on the soccer team
y = students on the hockey team
x + y = 52
y = x + 12
Substitute y = x +12 to get:
= x + x +12 = 52
= 2x + 12 =52
Isolate x for 2x + 12 = 52: x = 20.
Now incorporate a new equation with x = 20:
y = 20 +12
y = 32
Therefore:
x = 20, y = 32
X=20 Y=32
Explanation:
Trust
HELPPPPPPP ASAPPP!! Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object
Answers
Answer:
C. side a is 3.5 inches and side b is 3 inches
Step-by-step explanation:
The scale factor 6:1 means that the sides of bigger rectangle are six times bigger than the smaller rectangle.
To find the sides of the smaller rectangle, divide each side of the bigger rectangle by 6.
Solve side a:
21/6 = 3.5
Solve side b:
18/6 = 3
A single, standard cube is tossed. What is the probability of getting a number greater than 3?
Answers
Answer:
1/2 or 50%
Step-by-step explanation:
numbers on a dice:
1, 2, 3, 4, 5, 6
4 5 and 6 are above 3
therefore, there are 3 numbers that are greater than 3 on a standard dice
3/6 can be simplified to 1/2 which is also the same as 50%.
3/6=1/2
Answer=1/2
Type a digit that makes this statement true.
2,222,6 4 is divisible by 8.
Submit
Answers
Answer:
A digit 2
Step-by-step explanation:
628/8 = 78
thus making 628 divisible by 8
I need help with the 3 questions shown
Answers
Answer:
u need to draw Po because graph Po yan
B is correct because it is the correct point slope form
Triangle WYT is an isosceles if angle Y is equal to 156 then what are the other two angles? brainliest and five⭐ for the first who answers! 50 POINTS ON THIS QUESTION!
Answers
Answer: 12
Step-by-step explanation:
since it’s isosceles, the bottom two angles are equal so just subtract 156 from 180 and then divide that by 2.
The scatter plot below represents the weight of a bunch of bananas based on the number of bananas in the bunch. A trend line shows the relationship.
About how many pounds does the trend line predict that a bunch with 9 bananas will weigh?
Answers
Answer:
Step-by-step explanation:3.0
Name all the angles.
A. 3 acute angles, 2 right angles
B. 2 acute angles, 3 right angles
C. 2 right angles, 2 obtuse angles, 1 acute angle
D. 2 obtuse angles, 2 acute angles, 1 right angle
Answers
A company printed 10,398 flyers for its sales people. Each sales person received the same
number of flyers. How many sales people could there be?
Select all the possible numbers.
5
3
2
6
Answers
Answer:
3,2,6
Step-by-step explanation:
if you divide 10,398 by all numbers 3,2 and 6 have whole numbers:)
Please help meeeeeee!!!!!
Answers
Answer: A
Step-by-step explanation:
This is because 25%= 25/100, and that reduces to 1/4. Also, whenever it says something OF something, it means to multiply. In this case, 1/4 OF 1000= 1/4x1000= 250.
*Even though it seems that multiplying will just make the number bigger, when you multiply with a fraction, it actually gets smaller* For example 1/3 of 3= 1/3x3= 1
Answer:
a 1/4 is equal to 25/100
Step-by-step explanation:
25/100 = 0.25
1/4 = 0.25
25*4 is equal to 100
please help me find the surface area and volume
Answers
Answer:
3) SA= 64 V=28
4) SA= 192 V=144
5) SA=179 V=144
6) SA=60 V=24
192, 144
179, 144
69, 24
Can someone help me this is part of my final exam don't put fake answers
Answers
Answer:
It is the systematic random sampling
Step-by-step explanation:
I found this definition online on a khan academy website that will prove that the systematic random sampling is correct:
"Systematic random sample: Members of the population are put in some order. A starting point is selected at random, and every n^th member is selected to be in the sample."
Hope this helps!
-Karen