Let they be x.
Cost of textbooks + laptops cant greater than total amount.
(cost of 1 textbooks * number of textbooks) + (cost of 1 laptop * number of laptops ≤ 6500
(30*116) + (x*439) ≤ 6500
3480 + 439x ≤ 6500
439x ≤ 3020
x ≤ 6.8(approx)
Last natural number is 6, says, they can buy 6 laptops at max.
the slant asymptote of f(x)=(x^2-4x+1)/(2x-3)
Answer:
y=1/2x-5/4
I hope this helps you and I hope you do well on whatever you are working on.
Answer:
True
Step-by-step explanation:
Write the number in scientific notation,
21,700
Answer:
2.17 x 104
Step-by-step explanation:
A shape is shown on the graph
Which of the following is a reflection of a shape?(50 points)
A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 4, 2 and 2, 6.
Step-by-step explanation:
The dinner bill for four people came to $108.60. If they plan to leave a 20% tip and split the bill equally, how much will each person pay?
Answer:
32.15
Step-by-step explanation:
Answer:
$32.58 per person
Step-by-step explanation:
A piece of pine is 6 feet long,1 foot wide,and and 5 foot thick and weighs 90 pounds,what is the volume? What is the density?
Answer:
volume = about 117.81 feet^3
density = 0.763942 lb/ft^3
Step-by-step explanation:
this is if the piece of pine is cylindrical
Add: (-15xz-4xy)+(20xy-9yz-16xz)
Answer:
=16xy−31xz−9yz
Step-by-step explanation:
The required simplified solution of the given expression is 16xy - 9yz -31xz.
Given that,
To determine the simplified solution of the given expression,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= (-15xz-4xy)+(20xy-9yz-16xz)
Adding the coefficients of the alike terms.
= 16xy - 9yz -31xz.
Thus, the required simplified solution of the given expression is 16xy - 9yz -31xz.
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Translate the sentence into an equation.
Eight times the sum of a number and 9 equals 5.
Use the variable x for the unknown number.
Answer:
8(x +9) = 5
Step-by-step explanation:
The words "the sum of a number and 9" mean "x+9" when x is used to represent the number. The "8 times the sum" is 8(x+9). When that "equals 5", then we have the equation ...
8(x +9) = 5
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Kathy and her brother Clay recently ran in a local marathon. The distribution of finishing time for women was approximately normal with mean 259 minutes and standard deviation 32 minutes. The distribution of finishing time for men was approximately normal with mean 242 minutes and standard deviation 29 minutes. The finishing time for Clay was 289 minutes. Calculate and interpret the standardized score for Clayâs marathon time. Show your work.
Answer:
Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.
Step-by-step explanation:
In statistics, a standardized score is the number of standard deviations an observation or data point is from the mean.
Let us consider a random variable, X that follows a normal distribution, N (µ, σ²).
Then Z is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is,
[tex]Z=\frac{x-\mu}{\sigma}\sim N(0, 1)[/tex]
This, z-score is known as the standardized score.
It is provided that the distribution of finishing time for men (say, X) was approximately normal with mean µ = 242 minutes and standard deviation σ = 29 minutes.
The finishing time for Clay was x = 289 minutes.
Compute Clay's z-score as follows:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]=\frac{289-242}{29}\\\\=1.67857143\\\\\approx 1.68[/tex]
Thus, Clay's standardized score is 1.68.
That is, Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.
help pleaseeeeeeeeee
Answer:
3/-2
Step-by-step explanation:
All I did was put - 3/2 into my calculator and got the answer. I than found the answer for the rest of the fractions and only the first one equals to - 3/2.
Use the diagram to complete the statements.
Segment AD must be congruent to segment
Segment BC must be congruent to segment
Answer:
dc , ab
Step-by-step explanation:
on edge 2020
Answer:
Segment AD must be congruent to segment
✔ DC
.
Segment BC must be congruent to segment
✔ AB
.Step-by-step explanation:
correct on edge nov 2020
Which of these can be the graph of the equation
Answer: It's letter A, because it's slope-intercept form.
Step-by-step explanation:
what is the 7th term ? 160,136,112,88.....
Answer:
The pattern goes by subtracting -24 from the previous number
1st - 160
2nd - 136
3rd - 112
4th - 88
5th - 64
6th - 40
7th - 16
The 7th term is 16.
C
B
120
...
...
900
.
.60
140-
350
450400
180
Ray OB divides 2 COA into two angles of equal measure.
True
False
Consider a number line with 40, 60 and 80 marked.
The value 60 is the midpoint of 40 and 80 since (40+80)/2 = 120/2 = 60
If we curved the number line to fit along the round edge of the protractor, then we'll get the diagram you see here.
Ray OB cuts angle COA in two equal pieces (angle COB, angle BOA). This is another way of saying "ray OB bisects angle COA".
what is the slope of f(x)=12x-19
Answer: y=1/4+3
Step-by-step explanation:
1. The slope is 12
2. (6 - 2)/(12+4)= 4/16= 1/4
y - 2 = 1/4(x + 4)
y - 2 = 1/4x + 1
y = 1/4x + 3
HELP PLS helppppppppppppppppppppppppp
Answer:
The number of text messages is 85 ⇒ B
Step-by-step explanation:
To solve this question
Assume that the number of the text message is x and the total cost is yMake a linear equation represented each plan, then equate their total cost (y) to find the number of the text message (x)The form of the linear equation is y = m x + b, where
m is the rateb is the initial valuePlan A:
∵ The fee per message is $0.10
∴ m = 0.10
∵ The monthly fee is $35
∴ b = 35
∴ The total cost y = 0.10 x + 35
Plan B:
∵ The fee per message is $0.30
∴ m = 0.30
∵ The monthly fee is $18
∴ b = 18
∴ The total cost y = 0.30 x + 18
∵ Both plans cost is the same for one month
→ Equate the right sides of the two equations
∴ 0.30 x + 18 = 0.10 x + 35
→ Subtract 0.10 x from both sides
∴ 0.30 x - 0.10 x + 18 = 0.10 x - 0.10 x + 35
∴ 0.20 x + 18 = 35
→ Subtract 18 from both sides
∴ 0.20 x + 18 - 18 = 35 - 18
∴ 0.20 x = 17
→ Divide both sides by 0.20
∴ [tex]\frac{0.20x}{0.20}=\frac{17}{0.20}[/tex]
∴ x = 85
∴ The number of text messages is 85
Bill has $12,400 in a regular savings account earning 43% annual interest
that is compounded monthly. How much will be in the account at the end of 3
years?
Round to the nearest cent, and do not include the dollar sign in your answer.
Answer:
44041.03
Step-by-step explanation:
A = P(1 + r/n)^nt
= 12400(1 + .43/12)^12(3)
= 12400(1.03583333)³⁶
= 12400(3.55169589)
= 44041.029
Which Function is represented in the graph?
Answer:
B
Step-by-step explanation:
The part of the function where x <=2 is a line, so we can rule out C and D. Lastly, the part of the function where x<=2 has a slope of -2, so we can rule out A. That leaves us with the only possible answer B
A carton contains 5 1/2 cups of juice one servings is 3/4 of cup how many servings of juice are in carton
Answer:
7 1/3 servings
Step-by-step explanation:
0.75x=5.5
x=5.5÷0.75
x=7.33333
-or-
7 1/3 servings
What is a good topic to research for linear regression?
Answer:
Growth rate of plants compared to average daily temperature.
Step-by-step explanation:
Determine the mode of the following data set:
21, 45, 44, 21, 40, 67, 93
Answer:
21 is the mode
Step-by-step explanation:
a mode is the number in a set that occurs the most and 21 is the number that appeared the most in this set
How much tax is withheld from $45,580 if the tax rate is 4%?
Answer:
1,823.20
Step-by-step explanation:
I'm smart!
The soccer team can have no more than 26 players. How many more players can make the team if the coach has already chosen 12 players? Write an inequality where x represents the number of players
that can still be added to the team.
Answer: >14 I think
Explanation:
100 POINTS!
STATS
EXPLANATION NEEDED
Answer:
Step-by-step explanation:
Answer:
500 dollars
Step-by-step explanation:
Write the converse of the following conditional: If it is raining, then the ground is wet.
If it is not raining, then the ground is not wet.
If it is not raining, then the ground is not wet.
It is raining if and only if the ground is wet.
It is raining if and only if the ground is wet.
If the ground is not wet, then it is not raining.
If the ground is not wet, then it is not raining.
If the ground is wet, then it is raining.
Answer:
it is raining if and only if the ground is wet
Step-by-step explanation:
Answer:
you are correct
Step-by-step explanation:
Simplify: (8 2/3)^4
Answer:
8^8/3
Step-by-step
In your own words, describe the negative property. Use complete sentences.
Answer:
The negative property is a sign used when a number goes below zero
Step-by-step explanation:
if that is the negative you are talking about
The floor area of a rectangular room is 162 square feet. The width of the room is 9 feet. What is the length?
The length of the rectangular room will be;
⇒ 18 feet
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The area of a rectangular room = 162 square feet
The width of the room = 9 feet.
Now,
Since, we know that;
Area of Rectangle = Length x Width
Let The length of the room = y feet
Substitute all the given values, we get;
The area of a rectangular room = Length x Width
162 = y x 9
Divide by 9, we get;
y = 162 / 9
y = 18 feet.
Thus, The length of the rectangular room will be;
⇒ 18 feet
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Find the indicated conditional probability using the following two-way table
P(Take the bus|Junior)=[?]
round to the nearest hundredth.
Answer:
P(Take the bus|Junior)=0.57
Step-by-step explanation:
Conditional Probability
Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event B has occurred, then the probability that event A occurs is given by:
[tex]{\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}}[/tex]
Where [tex]P(A\cap B)[/tex] is the probability that both events occur and P(B) is the probability that B occurs.
The two-way table shows statistics of students and we are interested to find the probability that, given the student is a junior (let's call it event B), they also take the bus (Event A). Thus, the probability we need to calculate is:
[tex]\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}[/tex]
Checking on the table, we can see that both events occur when the row and the column of both events coincide, i.e. 20 students out of a total of 100 students in total. Thus:
[tex]\displaystyle P(A\cap B)=\frac {20}{100}=0.2[/tex]
The probability that a student is classified as Junior is
[tex]\displaystyle P(B)=\frac {35}{100}=0.35[/tex]
The conditional probability is:
[tex]\displaystyle P(A\mid B)=\frac {0.2}{0.35}=0.5714[/tex]
P(Take the bus|Junior)=0.57
After going trick-or-treating, Cheyan is trying to
figure out how many houses she visited. Cheyan knows
that she averaged 3 candies per house. After giving
her brother 14 pieces of candy, she has 34 pieces
left. How many houses did she visit?
Answer:
16
Step-by-step explanation:
All you have to do is add 14+34 which is 48. Since you know that she averaged 3 pieces of candy you have to divide 48 and 3 which is 16
Answer:
16...........................
Step-by-step explanation:
add total candies, divide by 3
what is the reflection of (5, -3.5) across x-axis
Answer:
(-5,-3.5)
Step-by-step explanation:
Answer:
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
Step-by-step explanation: