If Chris takes the 2:20 train, then he will get to willow lake at 2:28.
If Chris takes the 2:20 train, then we have to find at what time he will get to willow lake.
The distance from where Chris lives to willow lake is 48 miles.
Chris will take the train to willow lake. The train goes 60 miles an hour.
The distance = 48 miles
The speed of train = 60 miles an hour
Time = distance/speed
Time = 48/60
Time = 0.8 minutes
The train reach after 8 minutes in willow lake.
So the train reach 2:28.
To learn more about speed link is here
brainly.com/question/7359669
#SPJ4
An architect is designing a building. Each floor will be 12 feet tall. Write an expression for the number of floors the building can have for a given building height. Tell what the variable in your expression represents
Lenny has 104 coins in his pocket made up of nickels and dimes worth
$22.00. Write and solve a system of equations to find out how many
nickels and quarters he has.
On solving the equations x + y = 104 and 0.05x + 0.25y = 22, the number of nickels and quarters Lenny has is 20 and 84 respectively.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The value of 1 nickel is = $0.05
The value of 1 quarter is = $0.25
The total amount of coins is = $22.0
The total number of coins is = 104
Let the number of nickel be = x
Let the number of quarter be = y
The equation for total number of coins =
x + y = 104 ....(1)
The equation for total amount of coins =
0.05x + 0.25y = 22 ...(2)
Multiply equation (1) by 0.05 -
0.05(x + y) = 104 × 0.05
0.05x + 0.05y = 5.2 ... (3)
Subtracting equation (3) from (2) -
0.05x + 0.25y - (0.05x + 0.05y) = 22 - 5.2
0.05x + 0.25y - 0.05x - 0.05y = 22 - 5.2
0.20y = 16.8
y = 84
Substitute the value of y in equation (1) -
x + 84 = 104
x = 104 - 84
x = 20
Therefore, the value for x and y is obtained as x = 20 and y = 84.
To learn more about equation from the given link
https://brainly.com/question/28871326
#SPJ1
Find the values of x and y in the diagram, below
(4x-7)(7x-1) (9x+4)
Applying the corresponding angles theorem, the values of x and y are:
x = 13
y = 24
What is the Corresponding Angles Theorem?The Corresponding Angles Theorem states that if two lines are cut by a transversal and the pairs of corresponding angles are congruent, then the two lines are parallel.
From the diagram given, we have:
63 + (5x - 8) + (7x - 31) = 180 [corresponding angles theorem]
63 + 5x - 8 + 7x - 31 = 180
12x + 24 = 180
12x = 180 - 24
12x = 156
x = 13
5x - 8 + 4y + 27 = 180
Plug in the value of x:
5(13) - 8 + 4y + 27 = 180
65 - 8 + 4y + 27 = 180
84 + 4y = 180
4y = 180 - 84
4y = 96
4y/4 = 96/4
y = 24
Learn more about the corresponding angles theorem on:
https://brainly.com/question/28182407
#SPJ1
Your parents are taking you and some of your friends to the movies tonight. Your parents might bring your grandparents and other adults to the movies as well. Adult tickets cost $11 each, and children's tickets cost $8 each. Write an equation that represents the total cost for the movie tickets. What is one combination of tickets that would total $57?
Answer:
57 = 33+24 = 3a+3c
Step-by-step explanation:
Let a= adults, c = children
total costs = 11a+8c
57 = 33+24 = 3a+3c
Answer: We can use the variables x and y to represent the number of adult tickets and children's tickets, respectively. The cost of adult tickets is $11 each and the cost of children's tickets is $8 each. So, we can use the following equation to represent the total cost for the movie tickets:
C = 11x + 8y
Where C is the total cost of the tickets, x is the number of adult tickets and y is the number of children's tickets
One combination of tickets that would total $57 is:
C = 11x + 8y = $57
x + y = 7 (number of tickets)
One way to satisfy this equation is to have 5 adult tickets and 2 children's tickets
x = 5
y = 2
C = 115 + 82 = $57
So, 5 adult tickets and 2 children's tickets is one combination that would total $57.
Step-by-step explanation:
I NEED HELP ASAP
A toy manufacturer is designing a new triangular-shaped toy. The company would like the toy to have a specific area. Write the equation for the area of a triangle. Solve your formula for the height. The company specified that the area of the toy must be 60 square inches and the length of the base must be 12 inches. Use your formula to determine the height of the new toy.
The height of the triangle with area of 60 square inches and the base of 12 inches is 10 in.
What is an equation?An equation is an expression that shows the relationship between numbers and variables.
The area of a triangle is the amount of space it occupies. The area is the product of the base and height divided by 2. It expressed as:
Area = (1/2) * base * height
Given that the area is 60 square inches and the length of the base must be 12 inches. Let h represent the height
Therefore:
Area = (1/2) * base * height
60 = (1/2) * 12 * h
6h = 60
h = 10 in
The height of the triangle is 10 in.
Find out more on equations at: https://brainly.com/question/2972832
#SPJ1
The heights of a species of plant are approximately Normally distributed, have a mean of 9. 31 cm, and have a standard deviation of 0. 55 cm. If 20 of the plants are randomly selected, what is the probability that the mean plant height is less than 9. 5 cm?
If heights of a species of plant are approximately Normally distributed, have a mean of 9.31 cm, and standard deviation of 0.55 cm , If 20 of the plants are randomly selected , then the probability that the mean plant height is less than 9.5 cm is 0.9388 .
We can use the Z-score formula to find the probability that a randomly selected plant has a height less than 9.5 cm:
Z = (x - mean)/(standard deviation/sqrt(sample size)) ;
Where x is the value we want to find the probability for, in this case x = 9.5
So , Z = (9.5 - 9.31)/(0.55/√20) = (0.19)/(0.123) = 1.54
Now we can use the standard normal table to find the probability that a Z-score is less than 1.54 .
From the z table ; we get , the p value is 0.9388 .
Therefore , The probability that a randomly selected plant from this species has a height less than 9.5 cm is about 0.9388 .
Learn more about Probability here
https://brainly.com/question/16247487
#SPJ4
a medical researcher is comparing the results of two surgical techniques to correct a skeletal deformity. there are many obvious risks of participating in this treatment trial, and participants are carefully informed about the likelihood of infection, poor treatment outcome, further damage, etc. the research design includes a questionnaire given to patients about their quality of life before and after the surgery. because this is just a simple paper and pencil questionnaire, it does not add any risks to the overall study design. is this true or false?
The questionnaire given to patients about their quality of life before and after the surgery included in the research design does add risks to the overall study design. Hence, the given statement is false.
Even though the questionnaire itself may not cause any additional physical risks, it can still have an impact on the overall study design. The questionnaire can add additional burden to the participants, who may already be dealing with physical and emotional stress from the surgery. Also, the questionnaire results may not be accurate if participants are not fully honest or unable to understand the questions being asked. Therefore, the inclusion of such a questionnaire in the research design should be carefully considered after evaluating its potential impact on the overall study.
Read more about surgical research:
https://brainly.com/question/14116765
#SPJ4
What is the slope of the line in the graph below?
undefined
−2
2
0
Answer:
Step-by-step explanation:
The slope of the given line in the graph is "undefined".
Define the term slope of the line?Slope, usually referred to as rise over run, is the "steepness" of the line.
By dividing the difference in y values between two points by the difference in x values, we may determine slope.
A line's slope does not summarily characterize it. As a result, even if you know a line's slope, you cannot identify the exact spots the line passes through.Any two lines with the same slope are said to be parallel. When a line is rotated 90 degrees, it becomes perpendicular and becomes parallel. A horizontal line is one that has a slope of 0. Positive lines are those that rise as they move further to the right.The y-axis is an example of a vertical line that is believed to have an "undefined" slope.Thus, as the line is passing through the y axis and parallel to the x axis, the slope of the given line is undefined.
To know more about the slope of the line, here
https://brainly.com/question/16949303
#SPJ1
Plot a point on the coordinate plane to represent each of the ratio values in the table.
Consider two stars, star A and star B. Star A is 22 light-years from Earth, and star B is 34 light-years from
Earth. Viewing from Earth, the angle between them is 60 degrees. What is the distance between star A
and star B in light-years? (Round your answer to the nearest hundredth.)
The distance that exists between star A and B is given as 29.87 light years
How to solve for the distance that exists between the the starsWe can solve this by creating a triangle where Point a Is star a, point b is star b and the point c is earth
the angle is given as 60 degrees
AC = 22 light years
BC = 34 light years
ab² = ac² + bc² - 2 *ac * bc* cos60
we would have to put in the values
ab² = 22² + 34² - 2 * 34 * 22 * cos 60
ab² = 484 + 1156 - 748
ab² = 892
square both sides
ab = 29.87 light years
Read more on light years here:
https://brainly.com/question/76984
#SPJ1
20/3 / 1/6 what is the miles per gallon
Answer: 20/3 / 1/6 is a division problem that can be simplified as follows:
20/3 divided by 1/6 = (20/3) * (6/1) = (206) / (31) = 120/3 = 40
The value of the division is 40. However, without knowing the context, it is impossible to know what the meaning of this value is. In particular, without knowing the units of 20/3 and 1/6, it is not possible to interpret the division as miles per gallon or any other unit.
It is important to note that 20/3 and 1/6 should be represented as mixed numbers (6 2/3 and 1/6) or as decimal numbers (6.66 and 0.16666) in order to be able to proceed with the division.
Step-by-step explanation:
The company claims that in the large bag of M&M's 20% of them were orange. Students bought a large bag of M&M and counted the candies they were 500. What is the probability of getting orange 21% more in that large bag.
The probability of getting orange 21% more in that large bag is 0.
How to calculate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.
In this situation, the company claims that in the large bag of M&M's 20% of them were orange. Since the oranges are 20%, the probability of getting orange 21% more in that large bag is not possible. This will be zero.
Learn more about probability on
brainly.com/question/24756209
#SPJ1
an algebra test is worth 100 points and has 25 questions. there are multiple choice questions worth 3 points each and short answers worth 8 points each. how many short answer questions are on the test?
There are 5 short answer questions on the test.
Algebra is a common thread that runs through practically all of mathematics. It involves the study of variables and the rules for manipulating them in formulas.
let us assume,
x = the number of multiple choice questions worth 3 points each
y = the number of short answer questions worth 8 points each
since the test has total of 25 questions we have
x + y = 25
the algebra test is worth 100 points
3×x + 8×y = 100
by solving the system of equations
x + y = 25
3×x + 8×y = 100
we find
x = 20
y = 5
there are 5 short answer questions on the test.
To learn more about algebra visit : brainly.com/question/24875240
#SPJ4
Please help me! I need the slope
Answer:
-1.5 or 1 1/2
Step-by-step explanation:
from the graph you see on Y-axis when Y =2, x=0. so you got a point: (0,2)
then on the right lower quadrant, when x = 2, y = -1, another point (2,-1)
slope = (y2 -y1)/(x2-x1) = [2-(-1)] / (0-2) =-1.5
the way the slope's direction is, you know the slope must be negative.
The Stock Market Nadia is a stockbroker. She earns 14% commission each week. Last week, she sold $5,300 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answer:$742; $38,584
Step-by-step explanation: 14% of $5,300 is $742 (0.14 x 5300). There are 52 weeks in a year so $742 x 52 weeks = $38,584.
A total of 362 adults and children are at a theatre. There are 140 more adults than children. If x represents the number of adults and y represents the number of children, which system of equations could be used to find the number of adults and the number of children in the theatre?
A system of equations that could be used to find the number of adults and the number of children in the theatre is:
x + y = 362
y = x + 140
How to write the required system of linear equations?In order to write a system of linear equations to describe this situation, we would assign variables to the number of adults and number of cats respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of adults.Let the variable y represent the number of children.Since the total number of adults and children at this theatre is 362, a linear equation which represents this situation is given by;
x + y = 362
Additionally, there are 140 more adults than children;
y = x + 140
Read more on equations here: https://brainly.com/question/9902791
#SPJ1
Translate the following into equivalent predicate statement :
i. There is an integer whose square is twice itself.
ii. No school buses are purple.
iii. If a real number is even, then its square is even.
i. ∃x ∈ Z, x² = 2x, ii. ∀y ∈ school buses, y is not purple and iii. ∀x ∈ R, if x is even, then x² is even.
i. The equivalent predicate statement for the first statement is:
∃x ∈ Z, x² = 2x
The symbol "∃" means "there exists", the symbol "∈" means "is an element of", and the symbol "Z" represents the set of integers.
ii. The equivalent predicate statement for the second statement is:
∀x, (x is a school bus) → (x is not purple)
The symbol "∀" means "for all", and the symbol "→" means "implies".
iii. The equivalent predicate statement for the third statement is:
∀x ∈ R, (x is even) → (x² is even)
The symbol "∈" means "is an element of", and the symbol "R" represents the set of real numbers.
To know more about equivalent predicate statement, here
https://brainly.com/question/24416706
#SPJ4
how many pieces of data can a variable hold at a given time? group of answer choices two infinite it depends on the data type none one
None of the options are correct. A variable can only hold one piece of data at a time.
A variable is a named storage location in a computer's memory that is used to store a single value. The value can be of any data type, such as a number, a string, or a boolean. A variable can only hold one piece of data at a time, meaning that it cannot store multiple pieces of data simultaneously. This is why it is important to use multiple variables if you need to store multiple pieces of data. Each variable should be given a unique name so that it can be easily referenced and identified when needed.
Learn more about data: https://brainly.com/question/27358262
#SPJ4
On a team, 3 girls and 2 boys scored a total of 27 points. The difference between the number of points scored by the 3 girls and the number of points scored by the 2 boys is 15. Each girl scored the same number of points, and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Answer:
We can start solving the problem by using algebra. Let x be the number of points scored by each girl, and y be the number of points scored by each boy. Then, based on the information given in the problem, we have the following equations:
x + y = 27 (the total number of points scored by the team)
3x - 2y = 15 (the difference between the number of points scored by the 3 girls and the 2 boys)
To solve for x and y, we can use the second equation to eliminate one of the variables. Multiplying both sides of the second equation by 2, we get:
6x - 4y = 30
Now we can substitute this into the first equation:
6x - 4y + y = 27
6x = 27 + 4y
x = (27 + 4y)/6
Now we can substitute this back into the second equation:
3((27 + 4y)/6) - 2y = 15
27 + 2y - 2y = 15
27 = 15
This is a contradiction, so the given information is insufficient to find the number of points scored by each girl and each boy.
Step-by-step explanation:
The figure shows the measurements, in inches, of a rectangular prism. 8 in 12 in 7 in What is the volume of the prism
A:92 in B: 236 in C: 472 D: 672
Answer:
672 in.³
Step-by-step explanation:
V = LWH
V = 8 in. × 12 in. × 7 in.
V = 672 in.³
Answer: D 672
Step-by-step explanation: The formula for volume is L x W x H = V so if you plug all those numbers in and multiply u get 672
Multiple Choice 1. Which proportion can be used to determine what number is 15% of 30? (1 point) 15/30=x/100 15/100=x/30 15/100=x/30 30/100=x/15
Answer:4.5
Step-by-step explanation:
Heyy can anyone help me in this please IMP
Answer:
Step-by-step explanation:
Mary, Ana, and Nata work at a coffee shop. Each day from Monday to Friday exactly two of them come to work. Mary works 3 days per week and Ana works 4 days per week. How many days per week does Nata work?
Based on the information, it can be inferred that Nata has to work 7 days a week.
How to calculate how many days Nata works?To calculate how many days Nata works we must perform the following mathematical operation.
We must find how many days in total Ana and Mary work together, that is, we must add the days that they work.
3 + 4 = 7Based on the above, we can say that Ana and Mary work 7 days a week, so Ana could work Monday, Tuesday and Wednesday and Mary could work Thursday, Friday, Saturday and Sunday.
So, Nata will have to accompany both of them every day, so she will have to work 7 days.
Learn more about jobs in: https://brainly.com/question/17205577
#SPJ1
can someone help me with 11 and 12
Answer:
see below
Step-by-step explanation:
11: write 3 equiv ratio of 1:3, so it' could be 3:9, 2:6, 4:12
12. 20:15 = 4:3, 12:9, 8:6
Find the measure of angles 1 and 2
Answer:
angle 1 = 118 deg
angle 2 = 62 deg
Step-by-step explanation:
To find angle one you must know that angles 1 and 118 deg are alternate angles. Therefore since these lines are parallel, angles 1 and 118 are equal.
To find angle 2 to you must know that angle 1 + angle 2 = 180.
angles on a straight line always equal 180 deg
therefore:
180
118 -
62 deg
hope this helps :)
Answer:
m<1 = 118°
m<2 = 62°
Step-by-step explanation:
The horizontal lines are parallel.
Angles 1 and 118° are alternate interior angles of parallel lines cut by a transversal, so they are congruent.
m<1 = m<2 = 118°
Angles 1 and 2 are a linear pair, so they are supplementary. That means that their measures add to 180°.
m<1 + m<2 = 180°
118° + m<2 = 180°
m<2 = 62°
adams awesome pawnshop will lend up to 42% of the value of a borrowers collateral. andy want wants to use his 10000 signed michael jordan rookie card. his 3000 signed joe monntana cleats & his 2000 signed tiger woods golf ball as collateral for a loan. with the loan andy wants to buy a signed michael jackson white glove that costs 6500. will the loan be enough for andy to get the glove?
No, Andy do not have enough loan, he need $200 more dollars to purchase Michael Jackson white glove.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Adams awesome pawnshop will lend up to 42% of the value of a borrowers collateral.
Andy want wants to use his $10000 signed Michael Jordan Rookie card. his $3000 signed Joe Montana cleats and his $2000 signed Tiger Woods golf ball as collateral for a loan.
Now, 42% of (10000+3000+2000)
= 42/100 ×15000
= 0.42×15000
= $6300
Cost of Michael Jackson white glove costs $6500
No, Andy do not have enough loan, he need $200 more dollars to purchase Michael Jackson white glove.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ1
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
Consider figures 1 and 2 shown on the coordinate plane. Figure 1 has been transformed to produce figure 2.
Describe the transformation.
This transformation can be described by (x' , y') = (
Considering the attached image. This transformation can be described by (x' , y') = (x' -y')
What is transformation in geometry?Transformation refers to movements objects make especially as described on a coordinate plane
A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. the four ways include
rotationdilationreflectiontranslationPre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Examining the preimage and the image of the attached picture show that the translation involved is reflection
And the transformation rule for reflection over y axis is
(x, y) → (x, -y)
Learn more about reflection at:
https://brainly.com/question/4070544
#SPJ1
what is (8/9)^2 pls i need it
Answer: about 0.79
Step-by-step explanation:
First divide 8 by 9 --> (8/9) = about 0.8889
then square that value --> (0.8889)^2 = about 0.79.
PEMDAS is your friend!
Please help!!
Which of the following statements is true about the triangles below
Answer: ASA
Step-by-step explanation: Hello! You can use ASA to prove that the triangles ABC and ABD are congruent. This is because you are given two angles of each triangle. You know that your answer should be ASA or AAA, which are the only two triangle congruence postulates that involve two or more congruent angles. Lastly, you can use the reflexive property. An example of reflexive property is 3 = 3, which means anything is congruent to itself. You know that both triangles share line segment AB, meaning that they have one side and two angles that are congruent. Since you know that the two angles and the included side are congruent, ASA proves that both triangles ABC and ABD are congruent. I hope this helps you!
If 479,000 people each receive an average refund of $4,500, based on an interest rate of 1 percent, what would be the lost annual income from savings on those refunds? (Do not round intermediate calculations. )
As per the compound interest, the lost annual income from savings on those refunds is $21,555,000
In math the term called compound interest is defined as a type of interest that not only accrues on the principal but also on the accrued interest and the interest rates on loans are quoted in terms of annual percentage rate, which does not account for the compounding of interest, and therefore understates the true cost of borrowing.
Here we know that the 479,000 people each receive an average refund of $4,500, based on an interest rate of 1 percent.
Then the lost annual income from savings on those refunds is calculated as,
As we all know that the lost annual income is the amount of interest these people could have earned on their income, in which the extra tax had not been deducted.
Then With $4,500 each person,
Then the total amount of the deducted income is calculated as,
=> 479,000 x 4,500 = 2,155,500,000.
Here we have the 1% interest rate, then the net return on these fund if they were saved
=> 2,155,500,000 x 1% = 21,555,000.
Therefore the total lost annual income is 21,555,000
To know more about Compound interest here.
https://brainly.com/question/29335425
#SPJ4