Answer:
$14.34
Step-by-step explanation:
Do 7.17 divided by 3 which is 2.39.
Then multiply that with 6. That is your answer.
Find all pairs of natural numbers which can be the solution to the equation:
xy = 18
25 students in a high school health class are asked to write down what foods they ate last week. Of the 25
students, 14 write steak, 6 write chicken, and 5 write both steak and chicken. Using this information, answer
each of the following questions,
Let S be the event that a randomly selected student writes steak and C be the event that a randomly selected
student writes chicken.
What is P(S), the probability that a student writes steak?
What is P(C), the probability that a student writes chicken?
What is P(S and C), the probability that a student writes steak and chicken?
What is P(S or C), the probability that a student writes steak or chicken?
The probability of event S(students writing steak) was calculated as 14/25, event C(students writing chicken) as 6/25, while both occurring(S and C) as 5/25. From these the combined probability of either of these two events occurring(S or C) was determined by summing the individual probabilities and subtracting the combined one thus, 14/25+6/25-5/25.
Explanation:The subject matter relates to the field of probability in Mathematics, focusing on two independent events namely, S (student writes steak) and C (student writes chicken). Here, the total number of students 25 serves as our sample space.
The probability of event S, P(S), is equal to the number of students who write steak over the total number of students. So, P(S) = 14/25. The probability of event C, P(C), is similarly calculated. That is, P(C) = 6/25.The probability that both events S and C occur, denoted as P(S and C), can be obtained by the division of the number of students who write both steak and chicken by the total number of students. So, P(S and C) = 5/25.The probability that either event S or C occur, written as P(S or C) is calculated by adding the probabilities of each event and then subtracting the probability of them occurring together. Thus, P(S or C) = P(S) + P(C) - P(S and C) = 14/25 + 6/25 - 5/25.Learn more about Probability here:https://brainly.com/question/32117953
#SPJ11
Write an algebraic expression for: the product of 12 and x divided by the sum of 4 and x
Answer:
12x / (4+x)
Step-by-step explanation:
product of 12 and x
12x
Divided by
12x /
sum of 4 and x
(4+x)
12x / (4+x)
Answer:
12x/(4+x)
Step-by-step explanation:
product of 12 and x: 12x
divided by
the sum of 4 and x: 4 + x
12x/(4+x)
The swimming club went to a swim meet in another town. They took 3 cars and 2 vans. There were 5 people in each car and 4 people in each van. How many people went on the trip?
WOILL GIVE BRAINLIST!!! :))
To find the total number of people who went on the trip, add the number of people in the cars and vans together.
Explanation:To find the total number of people who went on the trip, we need to calculate the number of people in each car and each van and then add them together.
In each car, there were 5 people, so 3 cars would have a total of 3 x 5 = 15 people.
In each van, there were 4 people, so 2 vans would have a total of 2 x 4 = 8 people.
To find the total number of people, we add the number of people in the cars and the number of people in the vans: 15 + 8 = 23.
Therefore, a total of 23 people went on the trip.
Learn more about Total number of people on a trip here:https://brainly.com/question/1184396
#SPJ2
please help me I need help
Answer:
[tex] |28 - x| = 0 \\ 28 - x = 0 \\ - x = - 28 \\ x = 28[/tex]
Answer:
x = 28.
Step-by-step explanation:
|28 - x| = 0
28 - x = 0
28 = x.
The absolute value makes no difference to the result as we have 0 on the right side.
Trevor sees 8 red birds. He sees 5 more red birds than blue birds hkw many. Blue birds does trevor see
Teresa is maintaining a camp fire. She can keep the fire burning for 4 hours with 6 logs. How many logs does Teresa need to maintain the fire for 18 hours?
Answer:
27
Step-by-step explanation:
Set up the equation as a ration 4*6 = 18*y
Cross multiply you get 108/4y= 27 logs
in training for a race, each day aylin ran 1.5% further than the day before. if on the 27th day of training she ran approx 6 miles approx how many miles did she run on the first day of training? Round to the nearest integer
Answer: 5%
Step-by-step explanation:
Write the equation of the line that passes through the points (-2, 3) and (-2, 5).
Answer:
x = -2
Step-by-step explanation:
We can find the slope of the line using
m = (y2-y1)/(x2-x1)
= (5-3)/(-2- -2)
(5-3)/(-2+2)
2/0
The slope is undefined since the denominator is zero
This means we have a vertical line
This is in the form x=
We have points with x=-2 so
x = -2
Two wires with lengths of 448 cm and 616 cm are to be cut into pieces of all the same length without a remainder. Find the greatest possible length of the pieces?
SOMEBODY PLZ HELP!!! wih this question.
The greatest possible length for the pieces into which two wires of lengths 448 cm and 616 cm can be cut without a remainder is 56 cm, which is the Greatest Common Divisor of the two lengths.
For the lengths given, 448 cm and 616 cm, the GCD can be found using the Euclidean algorithm.
Divide 616 by 448 and find the remainder: 616 / 448 gives a quotient of 1 and a remainder of 168.
Next, divide the former divisor (448) by the remainder (168) to get a new quotient and remainder: 448 / 168 gives a quotient of 2 and a remainder of 112.
Repeat this process using the previous remainder: 168 \/ 112 gives a quotient of 1 and a remainder of 56.
Continue the process: 112 / 56 gives a quotient and remainder of 2 and 0, respectively.
Therefore, the greatest possible length for equally-sized pieces of wire without remainder is 56 cm.
Which is the value of g(-5) if g(x)=3.4x-8?
Katrina wants to buy a CD for $1000 that earns 2.5% APR and is compounded
quarterly. The CD matures in 5 years and the early redemption fee is 3
months' interest. If Katrina wants to take her money out 3 months before the
CD matures, how much money would she get back, after the early redemption
fee?
O A. $1119.42
O B. $1226.71
O c. $1025.39
O D. $1031.64
Answer:
1119.42
Step-by-step explanation:
Final answer:
Katrina would receive an amount closest to $1,119.42, thus option A is the closest answer.
Explanation:
Katrina is looking at a Certificate of Deposit (CD) which has certain terms for compounded interest and an early redemption fee. To calculate how much she would get back if she withdraws the money 3 months before the CD matures, we need to do the following steps:
Calculate the compounded amount of the CD after 4.5 years since it is compounded quarterly.Calculate the interest for 3 months (1 quarter).Subtract the 3 months' interest from the total compounded amount to account for the early redemption fee.The formula for compounded interest is [tex]A = P(1 + r/n)^{(nt)}[/tex], where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of times that interest is compounded per year.t is the time the money is invested for, in years.For this problem:
P = $1000r = 0.025 (2.5% annual interest rate)n = 4 (compounded quarterly)t = 4.5 years (since we are calculating for 3 months before the 5 years)Let's calculate:
A = $[tex]\$1000(1 + 0.025/4)^{(4*4.5)}[/tex] = A ≈ $1,131.64
Now we calculate the 3 months' interest which is essentially the interest for one quarter:
Interest for one quarter = (A for 4.75 years) - (A for 4.5 years)
We calculate A for 4.75 years using t = 4.75 and subtract A for 4.5 years:
A for 4.75 years = [tex]\$1000(1 + 0.025/4)^{(4*4.75)}[/tex] ≈ $1,144.12
Interest for one quarter = $1,144.12 - $1,131.64 ≈ $12.48
Finally, subtracting the early redemption fee:
Amount after fee = $1,131.64 - $12.48 ≈ $1,119.16
The actual amount after subtracting the early redemption fee from the compounded total closest matches option A. $1119.42.
What number represented by point P???
Answerrrrrr:
5.7-10^3
The value of point P on the number line is 5.7-10^3.
We have given the diagram,
We have to determine the value of P.
P is a point on the number line.
What is the meaning of the number line?
a line on which numbers are marked at intervals used to illustrate simple numerical operations.
Therefore the value of point P is,
5.7-10^3
The number line shows the value of the points and equal partitions on the line.
To learn more about the number line visit:
https://brainly.com/question/24644930
#SPJ2
Simplify the expression. Use standard polynomial format.
x(2x + 3) + (x - 3)(x - 4)
Answer:
x(2x + 3) + (x - 3) (x - 4) = 3x²- 4x + 12
Step-by-step explanation:
Expand:
x(2x + 3): 2x² + 3x
2x² + 3x + (x - 3) (x - 4)
Expand:
(x - 3) (x - 4): x²- 7x + 12
2x² + 3x + x²- 7x + 12
Simplify:
2x² + 3x + x² - 7x + 12: 3x² - 4x + 12
= 3x² - 4x +12
The second quartile in a box-and-whisker plot would be located on what number?
Answer:
35
Step-by-step explanation:
if you order the numbers from least to greatest, there are 14 numbers (which is even which means their is going to be two median. when you have two medians you add them and then divide them by 2) 35 + 35 = 70, 70 divided by 2 is 35. the answer is 35!
Four students took a national standardized test for which the mean was 500 and the standard deviation was 100. If a student's value was 1:75 on the test, what was the student's score?
a. 675
c. 645
b. 650
d.700
Answer:
560 has 0.6 z-value, 450 has -0.5 z-value, 640 has 1.4 z-value, 530 has 0.3 z-value
Step-by-step explanation:
I had this qution on a test on time
please mark me as brainliest
Answer: The answer is A) 675
Step-by-step explanation: Take each answer choice and subtract it from 500 and divide by 100 until one of them gives you the answer of 1.75
Adan can do a piece of work in 3 days, Bernie in 4 days, and Cynthia in 6 days each working alone.
How long will it take them to do it working together?
Please include how you did it.
Answer:
1 day and 8 hours
Step-by-step explanation:
Adan does 1/3 work each day,
Bernie does 1/4 work each day, and
Cynthia does 1/6 work each day
combined they accomplish 3/4 each day
therefore it would take them 1 day and 8 hours
By adding the individual work rates of Adan, Bernie, and Cynthia, we find that they could complete the task in a total time of 1.5 days when working together.
Explanation:In this question, the rates at which Adan, Bernie, and Cynthia can complete a piece of work are given. This information can be used to calculate how long it would take for them to complete the work together.
Adan can do the job in 3 days, so his work rate is 1/3 of the job per day. Bernie's work rate is 1/4 of the job per day, and Cynthia's work rate is 1/6 of the job per day.
The combined work rate of Adan, Bernie, and Cynthia per day would be the sum of their individual work rates which is (1/3 + 1/4 + 1/6). This sums up to 4/6 or 2/3. The time required for them to finish the job together is the reciprocal of the total work rate which is 3/2 and that equals to 1.5 days.
Learn more about Work Rate Problem here:https://brainly.com/question/29191491
#SPJ3
Wheel A has a diameter of 25.4 inches. Wheel B has a diameter of 22.5 inches. About how much farther will Wheel A travel in one rotation than Wheel B? Use 3.14 for pi. Round your answer to the nearest whole number.
Wheel A will travel a distance of approximately 9 in more than wheel B in one rotation.
Explanation:
Given:
Diameter of wheel A, d₁ = 25.4 in
Radius of wheel A, r₁ = 12.7 in
Diameter of wheel B = 22.5 in
Radius of Wheel B, d₂ = 11.25 in
Distance travelled by A = ?
In one rotation, the distance travelled by a wheel is equal to its circumference.
Circumference of a wheel = 2πr
Circumference of wheel A = 2πr₁
= 2 X 3.14 X 12.7 in
= 80 in
Circumference of wheel B = 2πr₂
= 2 X 3.14 X 11.25 in
= 71 in
Therefore, wheel A will travel a distance of approximately 9 (80 - 71 in) in more than wheel B in one rotation.
The larger wheel with a diameter of 25.4 inches travels approximately 9 inches farther in one rotation than the smaller wheel with a diameter of 22.5 inches.
To determine how much farther Wheel A will travel in one rotation compared to Wheel B, we need to calculate the difference in their circumferences, since the circumference of a wheel determines the distance it covers in one rotation. The formula for the circumference of a circle is C = (pi * d), where C is the circumference and d is the diameter of the wheel.
First, we calculate the circumferences of both wheels:
Wheel A: C = (pi * d) = 3.14 * 25.4 inches = 79.756 inches.
Wheel B: C = (pi * d) = 3.14 * 22.5 inches = 70.65 inches.
Now, to find how much farther Wheel A travels than Wheel B in one rotation, we subtract the circumference of Wheel B from that of Wheel A:
Difference in distance = Circumference of Wheel A - Circumference of Wheel B = 79.756 inches - 70.65 inches = 9.106 inches.
When rounding to the nearest whole number, the difference is approximately 9 inches.
y = -x^2 + 6x - 5 , zeros
Answer:
x = 1, x = 5
Step-by-step explanation:
To find the zeros let y = 0, that is
- x² + 6x - 5 = 0 ( multiply through by - 1 )
x² - 6x + 5 = 0 ← in standard form
(x - 1)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 5 = 0 ⇒ x = 5
Player Points
Travis 6
Marcus 7
James 17
Taylor 2
Hector 1
Julio 22
Jonah 8
Chris 11
Scott 14
The points from a recent game for nine members of the high school basketball team are shown in the table. Which statement is true?
A) The mean is equal to the mode.
B) The range is less than the mode.
C) The median is greater than the mean.
D) The mean is greater than the median.
Answer:
ok the mean is 9.77778
mode is none
range is 21
median is 8
so D would be the only answer choice that matches
Step-by-step explanation:
Answer:
D) The mean is greater than the median
Step-by-step explanation:
Please help me, due today, please dont just guess
Answer:
10% / .10 is the answer to the question.
Write an equation m=1/3 through (4,4)
Answer:
y - 4 = 1/3(x - 4)
y - 4 = 1/3x - 4/3
y - 12/3 = 1/3x - 4/3
y = 1/3x + 8/3
Step-by-step explanation:
The slope of a line can be expressed in the form y = mx + b. Given m = 1/3 and a point (4,4), we can substitute these into the equation to find b. The equation of the line is thus y = 1/3x + 8/3.
Explanation:In mathematics, an equation of a line is often written in the slope-intercept form, which is y = mx + b. The term 'm' represents the slope of the line, while 'b' is the y-intercept.
In the question, the value 'm' is provided as 1/3, and one point through which line passes is (4,4). We can substitute the value of 'm' and the coordinates of the point into the equation to solve for 'b'.
So, y = mx + b becomes 4 = (1/3)*4 + b. Simplify this to solve for b, hence b=4-(4/3) which gives 'b' as 8/3.
Therefore, the equation of the line becomes y = 1/3x + 8/3.
Learn more about Slope-intercept formhttps://brainly.com/question/25722412
#SPJ3
What is the circumference of the circle? if the diameter is 33 Please help
Answer:
C = 33pi or approximately 103.62
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = pi*33
We can approximate pi by 3.14
C = 33*3.14
103.62
Answer:
103.62 units
Step-by-step explanation:
Radius = 33/2 = 16.5 units
Circumference = 2 × 3.14 × 16.5
= 103.62
Find the measure of arc DBC in circle P.
Answer:
122°
Step-by-step explanation:
The measure of arc DBC in circle P is calculated thus:
DBC = 180° - 58° (sum of angles on a straight line)
DBC = 122°
Therefore, the measure of arc DBC in circle P is 122°.
Note,
Line BD is a straight line; thus, sum of angles on a straight line is 180°.
Angle BPC is 58°. To determine angle DPC, we subtract 58° from 180°, such that, 180° - 58° = 122°.
please help me, i cant figure this out
Answer:
4
7
10
13
16.
Step-by-step explanation:
Just substitute the term number into the formula:
The first term a1 = (1 + 3k)
= 1 + 3(1) = 4.
a2 = 1 + 3(2) = 7.
- and so on.
15. The vertices of A DEF are D(0,0), E(0,7), and F(6,3).
Find the coordinates of the orthocenter of A DEF.
Orthocenter of a triangle with one vertex at the origin D(0,0), E(0,7), F(6,3)
The orthocenter is the meet of the altitudes.
DE is the line x=0. That's the y axis. The altitude is the perpendicular through F(6,3), so is the horizontal line y=3.
DF is the line
6y=3x
y=(1/2)x
Perpendicular through E(0,7) is
y - 7 = (-2)(x - 0)
y = -2x + 7
That's the other altitude. Intersecting with y=3
3 = -2x + 7
-4 = -2x
x = 2
y = 3
Answer: orthocenter is (2,3)
Which unit would you need fewer of to measure a tree?
To measure the height of a tree, feet would be the most suitable unit .
When determining which unit you would need fewer of to measure a tree, it's important to consider units that are an appropriate scale for the object in question. Since a tree is typically more than a few feet tall, but significantly less than a mile tall, we would use feet as the unit of measurement. Using yards would require us to measure in much smaller segments than a whole yard, and using inches would take a long time to measure the full height. Therefore, the most suitable unit to measure the height of a tree would be feet, as this unit provides a balance between precision and efficiency. For fieldwork where estimation of tree density is needed, aspects like basal area might be measured using a factor prism in a defined plot area, such as a 0.04-ha (0.1-acre) plot, to estimate the density of trees in a larger area.
Tobin is solving the equation 3(x - 1.25) = 11.25. His work is shown below.
What mistake did Tobin make?
a
Tobin did not make a mistake.
b
Tobin should have subtracted 3.75 from each side.
c
Tobin did not distribute the 3 correctly.
d
Tobine should have divided by 3.
Answer:
b
Step-by-step explanation:
Greg is buying a bike on a payment plan. The equation y=20x+600 models the amount he has left to pay, where x is the number of weeks and y is the amount of money owed in dollars. Lin is also buying a bike on a payment plan. The bike costs 500. She will pay 25 each week. Which statement correctly compares Greg's function and Lin's function.
We can conclude that the amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have the following problem -
Greg who is buying a bike on a payment plan. The equation y = 20x + 600 models the amount he has left to pay, where [x] is the number of weeks and [y] is the amount of money owed in dollars. Lin is also buying a bike on a payment plan. The bike costs 500. She will pay 25 each week.
The equation for Greg payment plan -
y = 20x + 600
models the amount he has left to pay, where [x] is the number of weeks and [y] is the amount of money owed in dollars.
Similarly, the equation that represents the money owned by Lin -
y = 500 - 25x
[x] is the number of weeks and [y] is the amount of money remaining to be paid in dollars.
Refer the graph of both situations.
The amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.
Therefore, we can conclude that the amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.
To solve more questions on straight lines, visit the link below-
brainly.com/question/29030795
#SPJ2
A. $1,200
B. $1,080
C. $24
D. $810
Answer:
Option B, $1080
Step-by-step explanation:
Step 1: Identify which option is correct
To find the initial amount of money you need to find the y-int or the value of y when the x value is 0.
So... when the x value is zero on this graph, the y-int or y value is 1080
Answer: Option B, $1080