Stan lawn mower had 1/8 of a gallon of gasoline in the tank he added 6/10 to the tank after he only had 1/4 of a gallon what was the total used
Answers
Stan used 19/40 of a gallon of gasoline.
Given that;
At first, Stan's lawn mower had 1/8 of a gallon of gasoline in the tank. When it got finished, he put 6/10 of a gallon of gasoline in the tank.
Hence, It means that the number of gallons of gasoline that he has already put in the tank is
1/8 + 6/10 = 29/40 of a gallon.
Now, After he mowed, 1/4 of a gallon was left in the tank.
Therefore, the total amount of gasoline Stan used is
29/40 - 1/4 = 19/40 of a gallon
Thus, the total amount of gasoline Stan used is, 19/40 of a gallon
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Related Questions
I will give 30 points to whoever answers
|x +3| if x >5
|x +3| if x >2
|x +3| if x =2
|x − 3| if x >5
|120+x| if x < −120
|x − 120| if x < −120
|x − (−12)| if x > −12
|x − (−12)| if x < −12
|x − (−12)| if x = −12
|x ÷ 3| if x >0
|x ÷ 3| if x <0
|x ÷ 3| if x =0
Answers
These are absolute value expressions evaluated under different conditions:
How to solve|x + 3| if x > 5:
Here x is greater than 5, so x + 3 will also be positive. In this case, |x + 3| = x + 3.
|x + 3| if x > 2:
Similar to the above, x is greater than 2, so x + 3 will be positive. Thus, |x + 3| = x + 3.
|x + 3| if x = 2:
In this case, x + 3 = 2 + 3 = 5, and the absolute value of 5 is just 5. Thus, |x + 3| = 5.
|x - 3| if x > 5:
If x is greater than 5, then x - 3 will be positive. Hence, |x - 3| = x - 3.
|120 + x| if x < -120:
Since x is less than -120, 120 + x will be negative. But the absolute value of a negative number is its positive counterpart, so |120 + x| = -(120 + x).
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Please help, It's a statistics question, I need the answer ASAP
A particular variable measured on the US population is approximately normally distributed with a mean of 112 and a standard deviation of 22. Consider the sampling distribution of the sample mean for samples of size 16.
Answers
Answer:
Step-by-step explanation:
The sampling distribution of the sample mean for samples of size n is approximately normal with mean μ and standard deviation σ/sqrt(n), where μ is the mean of the population, σ is the standard deviation of the population, and sqrt(n) is the square root of the sample size.
In this case, the population mean is μ = 112 and the population standard deviation is σ = 22. We are interested in the sampling distribution of the sample mean for samples of size n = 16.
The mean of the sampling distribution of the sample mean is the same as the population mean, which is μ = 112.
The standard deviation of the sampling distribution of the sample mean is σ/sqrt(n) = 22/sqrt(16) = 5.5.
Therefore, the sampling distribution of the sample mean for samples of size 16 is approximately normal with mean 112 and standard deviation 5.5.
Pam is visiting a historic town with an old-fashioned water well in the town square. She drops
a pebble into the well from a height of 27 feet above the surface of the water.
To the nearest tenth of a second, how long does it take for the pebble to hit the water?
Hint: Use the formula h = -16t² + 5.
seconds
Answers
The time taken for the pebble to hit the water is 1.41 seconds.
What is the time taken for the pebble to hit the water?The time taken for the pebble to hit the water is calculated by using the equation of the motion as follows;
h = -16t² + 5
where;
h is the height of fall during the motiont is the time of motionwhen the height is 27 ft, the time of motion is calculated as;
-27 = -16t² + 5
16t² = 5 + 27
16t² = 32
t² = 32/16
t² = 2
t = √2
t = 1.41 seconds
Thus, the time of motion is determined by applying the equation of motion as shown above.
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Frank spends $90 on his $1800 monthly income what percent of monthly check does not go toward food
Answers
To find the answer we hav ego do these steps:
1800/100 = 18 - 18 dollars is 1%
90/18 = 5 - 90/18 = 5%
5% of his income is spent on food
If Frank spends $90 on his $1800 monthly income, then 95 percent of monthly check does not go toward food.
Let's say Frank spends $90 on food and has a monthly income of $1800. We can calculate the percentage of his monthly check that does not go towards food as follows:
Percentage = (Total Income - Food Expenses) / Total Income
Percentage = (1800 - 90) / 1800
Percentage = 0.95 = 95%
Therefore, 95% of Frank's monthly check does not go towards food.
Here are the steps in detail:
Subtract the food expenses from the total income to get the amount of money that is not spent on food.
Divide the amount of money that is not spent on food by the total income to get the percentage.
In this case, the amount of money that is not spent on food is $1800 - $90 = $1710. The percentage of the monthly check that is not spent on food is $1710 / $1800 = 0.95 = 95%.
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Bob has saved $600 each month for the last 3 years
to make a down payment on a house. The account
earned an interest rate of 0.50 percent per month.
How much money is in Bob's account?
Answers
Answer:
300
Step-by-step explanation:
-2(-2/3) x 3/5
Write in simplest form .
Answers
Answer:
4/5
Step-by-step explanation:
PLEASE ANSWER FAST!!!! NEED TO UNDERSTAND!!!
Answers
Step-by-step explanation:
X component = 4.5 - 2.1 = 2.4
Y component = 7.8 - 2.1 = 5.7
Find magnitude using Pythagorean theorem
m^2 = 2.4^2 + 5.7^2
magnitude = 6.18 units
Remember for a right triangle tangent Φ = opposite leg / adjacent leg
angle = arctan ( 5.7 / 2.4 ) = 67.2 degrees
I also need help on finding the pvalue
Answers
The claim is: Testing if the time spent completing the obstacle course is improved by the energy drink
The null and the alternate hypotheses are added below
Stating the null and the alternate hypothesisFrom the question, we have the following parameters that can be used in our computation:
The table
Also, we have the following statistical question
Is there sufficient evidence at α = 0.05 to conclude that the students did better the second time?
This means that the null hypothesis are
H1: There is no significant difference in the time spent to complete the obstacle course before and after drinking the new energy drink.
The alternate hypothesis is the opposite of the null hypothesis
So, we have
H2: There is no significant difference in the time spent to complete the obstacle course before and after drinking the new energy drink.
Lastly, the claim is that
Testing if the time spent completing the obstacle course is improved by the energy drink
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A number cube with faces labeled 1 to 6 is rolled once.
The number rolled will be recorded as the outcome.
Consider the following events.
Event A: The number rolled is odd.
Event B: The number rolled is greater than 3.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
Answers
The possible outcomes for each of the given events are:
A --> {1, 3, 5}
B --> {4, 5, 6}
How to find the outcomes for each event?For a regular number cube, the sample space (possible outcomes) is:
S = {1, 2, 3, 4, 5, 6}
Now we have two events.
A = rolling an odd number
Here the outcomes can be any of the odd numbers in the sample space, so the possible outcomes are:
A --> {1, 3, 5}
The second event is:
B = the number rolled is greater than 3. Again, the outcomes are thevalues in the sample space that are larger than 3, these are:
B --> {4, 5, 6}
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determine whether the sample may be biased. a company randomly selects 500 customers from its computer database and then surveys those customers to find out how they like their service.
Answers
Answer:
Step-by-step explanation:
Based on the information given, it is not possible to determine whether the sample may be biased or not.
However, there is a possibility that the sample may be biased if the company's computer database does not accurately represent its entire customer base. For example, if the database contains only a specific type of customers, such as those who frequently make large purchases, then the sample may not be representative of the company's entire customer base. In this case, the survey results may not accurately reflect the opinions of all the company's customers.
It is also important to consider other factors such as how the survey was conducted and how the questions were framed, as these can also affect the validity of the survey results
Joey wants to buy a $3,000 vehicle with 20 percent down for three years at 12 percent interest. What will his monthly payment be?
Monthly Payment per $1,000 Finance
A. $72.82
B. $89.67
C. $79.70
D. $119.56
Answers
Joey’s monthly payment is solved to be
C. $79.70
How to find the monthly payment20% down 600 to calculate the monthly payment on a 3 000 car we would pay 2 400.
the interest rate is 12% per annum which equates to 1% per month the term of the loan is three years which equates to 36 months we can use a formula to calculate the monthly payments
[tex]Monthly salary = (P * r * (1 + r)^n) / ((1 + r)^n - 1) .[/tex]
where
P is the principal (premium),
r is the monthly interest rate, and
n is the number of months.
Plug in the prices and we have:
[tex]Monthly salary = (2400 * 0.01 * (1 + 0.01)^{36} ) / ((1 + 0.01)^{36} - 1)[/tex]
= $79.65 per square foot
So Joey’s monthly payment would be $79.65.
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What is the area of Rectangle A?
Answers
Answer:
30 square units
Step-by-step explanation:
The area of a rectangle is its length multiplied by its width.
We can see that the length of Rectangle A is 6 units, and its width is 5 units.
Multiplying these together to get the rectangle's area:
6 units × 5 units = 30 square units
Let u = - 4i + j v = 4i - 2j and w = - 2j
Find the specified scalar or vector.
5u(3v - 4w)
Answers
The result of multiplying 5u by the difference between 3v and 4w is the vector -240i + 70j + 10.
In linear algebra, we often use scalars and vectors to perform various operations. Scalars are just ordinary numbers that can be used to multiply or divide vectors. On the other hand, vectors are quantities that have both magnitude and direction.
In this problem, we are given three vectors, u, v, and w, and we are asked to find the result of multiplying 5u by the difference between 3v and 4w.
First, let's calculate 3v - 4w. Since v = 4i - 2j and w = -2j, we can substitute these values to get,
3v - 4w = 3(4i - 2j) - 4(-2j)
= 12i - 6j + 8j
= 12i + 2j
Next, we need to find the scalar product of 5u and 12i + 2j. To find the scalar product of two vectors, we need to multiply the corresponding components and add up the products.
Therefore: 5u(3v - 4w) = 5u(12i + 2j)
= 5(-4i + j)(12i + 2j)
= -20i(12i) + 5i(2j) + 60j(i) - 10j(j)
= -240i + 10j + 60j + 10
= -240i + 70j + 10
So, the result of multiplying 5u by the difference between 3v and 4w is the vector -240i + 70j + 10.
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A principal of $3900 is invested at 4.25% interest, compounded annually. How much will the investment be worth after 5 years?
Answers
If principal of $3900 is invested at 4.25% interest, compounded annually, the investment will be worth approximately $4,756.89 after 5 years.
To calculate the future value of the investment, we use the formula for compound interest:
A = [tex]P(1 + r/n)^{(n*t)[/tex]
where A is the future value, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = $3900, r = 4.25%, n = 1 (compounded annually), and t = 5. Plugging these values into the formula, we get:
A = 3900(1 + 0.0425/1)⁵
A = 3900(1.0425)⁵
A ≈ $4,756.89
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Joe bought a house for $370,000. The assessed value of
the house is $280,000. The property tax rate is 2.9%. What
is Joe's annual property tax bill for this house?
Answers
Answer: Joe's property tax bill is based on the assessed value of the house, not the purchase price.
To calculate his annual property tax bill, we first need to calculate the assessed value of the house that will be used to determine the tax. The assessed value is given as $280,000.
The annual property tax bill is then calculated as follows:
Tax bill = assessed value x tax rate
Tax bill = $280,000 x 0.029
Tax bill = $8,120
Therefore, Joe's annual property tax bill for this house is $8,120.
What is ? Complete the statement.
is the ratio of the circumference to the ?
rence of a Circle-Instruction-Level G
area
circumference
radius
diameter
of a circle.
Answers
The ratio of the circumference of a circle with radius r to its area is 2:r or 2 to r.
Define circleA circle is a two-dimensional shape that is defined as the set of all points in a plane that are at a fixed distance, called the radius, from a given point, called the center. The distance around the circle is called the circumference, and the distance across the circle passing through the center is called the diameter.
The circumference of a circle with radius r is given by the formula:
C = 2πr
The area of a circle with radius r is given by the formula:
A = π×r²
Therefore, the ratio of the circumference of a circle with radius r to its area is:
C/A = (2πr) / (πr²)
Simplifying the expression by canceling out π and r from the numerator and denominator, we get:
C/A = 2/r
Therefore, the ratio of the circumference of a circle with radius r to its area is 2:r or 2 to r.
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The complete question is:
Find the following ratio.
The ratio of circumference of circle with radius r to its area.
Beth has three as much money as Dennis. Dennis has $20 more than Will. If all of them had a total of $1260, how much money does Beth have?
Answers
- Let x be the amount of money that Will has.
- Then, Dennis has $20 more than Will, so Dennis has x + $20.
- Beth has three times as much money as Dennis, so Beth has 3(x + $20).
We know that the total amount of money that all three have is $1260, so we can write an equation:
x + (x + $20) + 3(x + $20) = $1260
Simplifying and solving for x:
x + x + $20 + 3x + $60 = $1260
5x + $80 = $1260
5x = $1180
x = $236
So Will has $236, Dennis has x + $20 = $256 + $20 = $276, and Beth has 3(x + $20) = 3($256) = $768.
Therefore, Beth has $768.
Answer:
Beth has $752
Step-by-step explanation:
First we lay out what we know:
Beth: 3x+20
Will: x
Dennis: x+20
Next we write the equation:
3x+20+20+x+x=1260
Then we add any numbers that can be added to each other:
5x+40=1260
Then we solve,
We first minus 40 from both sides of the equation,
5x+40=1260
-40 -40
---------------------
5x=. 1220
Last we divide 1220 by 5,
5x=1220
÷5. ÷ 5
----------------
x=244
Now that we know that x is 244 we fill in the blanks,
Beth: 732+20
Will: 244
Dennis: 244+20
Then we just solve the equations,
Beth: 732+20=752
Will: 244
Dennis: 244+20=264
That's it,
if you want to check your work you can add them all up and if they equal 1260 it's correct.
752+244+264=1260
Your welcome, have a good day/night.
The list below gives the number of people who made the trip for a selection of nine summer days 2756 64 36 40 29 2756 and 30 find the range of the data set
Answers
Answer:
The range is 37
Step-by-step explanation:
highest - lowest = range
64-27= 37
Hope it helped! :)
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-4) = -11 B. g(0) = 2 C. g(7) = -1 D. g(-13) = 20
Answers
Answer:
Based on the information given, we know that the domain of g is -20 ≤ x ≤ 5 and the range is -5 ≤ g(x) ≤ 45. We also know that g(0) = -2 and g(-9) = 6.
A. g(-4) = -11: This statement could be true or false, as there is not enough information to determine its validity.
B. g(0) = 2: This statement is false, since we know that g(0) = -2.
C. g(7) = -1: This statement could be true or false, as there is not enough information to determine its validity.
D. g(-13) = 20: This statement is false, since -13 is outside the domain of g (-20 ≤ x ≤ 5).
Step-by-step explanation:Therefore, the statement that could be true for g is A. g(-4) = -11 or C. g(7) = -1.
Which of the following pairs consists of equivalent fractions? 3/9 and 5/15 ,12/20 and 20/25,5/6 and 6/5,6/12 and3/4
Answers
Answer:
[tex]The[/tex] [tex]Answer[/tex] [tex]Is:[/tex] [tex]\frac{3}{9}[/tex] [tex]&[/tex]& [tex]\frac{5}{15}[/tex]
Step-by-step explanation:
Divide by 4 , 2nd fraction Divide by 5:
3/4 ≠ 4/5
5/6 ≠ 6/5 We can already see it.
Divide by 3. . .
2/4 ≠ 3/4
Divide by 3 , 2nd fraction Divide by 5:
1/3 = 1/3 [tex]Perfect![/tex]
The answer is, [tex]\frac{3}{9}[/tex] & [tex]\frac{5}{15}[/tex]
Find the sum of the arithmetic sequence: 7+11+15+19+...+83+87.
Answers
The sum of the arithmetic sequence is 987
What is arithmetic sequence?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence.
For example, the sequence, 2,4,6,8,10... is an arithmetic sequence.
The sum of an arithmetic sequence is given as;
Sn=n/2[2a+(n−1)d]. Where d is the common difference and a is the first term.
the last term is 87
therefore;
87= 7+(n-1) 4
87= 7+4n-4
91-7 = 4n
84 = 4n
n = 84/4
n = 21
therefore 87 is the 21st term
Sn=n/2[2a+(n−1)d]
= 21/2(2×7+(21-1)4
= 21/2 ( 14+80)
= 21×94/2
= 987
therefore the sum of the arithmetic sequence is 987
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What is the answer for this problem and tell me how it is correct.
Answers
Answer:
Step-by-step explanation:
D is the correct answer.
Answer:
D
Step-by-step explanation:
By reading the graph, place the art museum at location (5,5). Then check all the locations to see which statement is true.
A is not true because the art museum is located 4 units east and 1 unit north from the coliseum.
B is not true because the art museum is located 3 units east and 3 units north of the smith's tower.
C is not true because the art museum is located 1 unit east and 2 units north of the state capital.
This is why D is the correct answer.
Select each angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z
Answers
The angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z are
180 degrees
540 degrees
900 degrees
How to find the angle of rotationThe transformation rule for an angle of 180 degrees is simply a reflection or a flip. This means that any object or figure that undergoes this transformation will be flipped over a line or axis.
The rule is (x, y) will become (-x, -y)
Where 540 degrees = 360 + 180
where 900 degrees = 360 + 360 + 180
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algebra please help quickly, you don't have to explain anything just straight up state the answers true or false
Answers
Answer:
they are correct
Step-by-step explanation:
Carolina wants to save $900 to go to Puerto Rico. She saves $45 each week. Her
brother gives her $180. Which equation determines how many weeks she must
save.
Answers
Answer:
45w + 180 = 900
45w = 720
w = 16 weeks
Elaina is trying to fit the longest stick she can into her pet lizard’s tank. She knows running it diagonally from the front corner to the back will give her the most room but she is uncertain what size she should buy. What is the biggest length stick that will fit into her 12 by 8 by 8 tank?
Answers
The biggest length stick that will fit is 16.49 units long.
What is the biggest length stick for the tank?The length stick which will fit into Elaina's 12* 8*8 tank can be found using the Pythagorean theorem.
The diagonal length, of tank will be equal to square root of the sum of the squares of its length, width and height.
So, the diagonal length of the tank, using Pythagorean theorem, is
= √(12² + 8² + 8²)
= √(144 + 64 + 64)
= √272
≈ 16.49.
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Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it. Use 3.14 as an
approximation for pi.
a. 1.254 square meters
b. 312 square meters
c. 2, 822 square meters
d. 314 square meters
Answers
Answer:
(a) 1.254 square metersStep-by-step explanation:
We are given a figure, consisting of a right triangle with a circle cut out of it.
To Calculate : area of the shaded region below,
First Let's find the Area of the right triangle:
Area(triangle) = 1/2 × Base × Height
= 1/2 × 56 × 56
= 1/2 × 3136
= 3136/2
= 1568 m².
Now, We are diameter of the circle = 20 m
Radius of the circle = 20/2 = 10 m
Area of circle = πr²Acc. to question we have to use 3.14 as an
approximation for pi.
Area (circle) = 3.14 × 10 × 10
Area (circle) = 3.14 × 100
Area (circle) = 314 m²
Area of shaded region = Area of triangle - Area of circle =
= 1568 m² - 314 m²
= 1.254 square meters
Therefore, The approximate area of the shaded region is 1.254 square meters.
Option (a) is the required answer.
Please help!!!
Natalie gathered a random sample of flower bouquets at the florist. She calculated data on different variables. For one data that she collected, she constructed a bar graph
Which of the following variables did she use?
O Type of flowers in each bouquet
O Amount of water needed for each bouquet
O Number of flowers in each bouquet
O Price for each bouquet
Answers
The variables that Natalie used in the data collected was C. Number of flowers in each bouquet.
How to find the variable ?The bar graph that Natalie crafted utilized the variable "number of flowers in each bouquet." This particular type of graph reveals the frequency or count associated with every number of flowers contained within a single bouquet.
As an illustration, let us suppose there were 20 bouquets holding 5 flowers, 30 bouquets possessing 10 flowers, and 15 bouquets that had 15 flowers each; consequently, the bar chart would exhibit exactly three bars symbolizing the count for all three categories as outlined above.
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which graph represents the linear equation y = 1/4 x + 1 on the coordinate plane
the line is passing through -2 for y and 4 for x
the line is passing through 2 for y and -4 for x
the line is passing through 1 for y and -5 for x
the line is passing through 1 for y and -4 for x
Answers
Answer:
the line is passing through 1 for y and -4 for x
Step-by-step explanation:
The function y = 1/4 + 1 contains all the information you need. The + 1 indicates the y intercept, so it is given. Since the slope of the line is 1/4, the graph would pass through (-4, 0) and (0, 1) as starting from a point would go up one unit and right 4 units.
solve for x image attached please help x, 3 ,7 set up the proportion x/3=?
Answers
The proportion relation obtained from the similar triangles indicates that the x/3 = 10/x
What are similar triangles?Similar triangles are triangles that have the same shape but their sizes may vary.
The proportion equation from the image based on the ratio of the corresponding sides of the similar right triangles can be found as follows;
The side x is the hypotenuse side of the smallest right triangle
The ratio x/3, is equivalent to the ratio of the hypotenuse side to the shortest side of the right triangle
The corresponding ratio in the medium triangle is ((x² - 3²) + 7²)/(x² - 3²)
((x² - 3²) + 7²)/(x² - 3²) = (x² + 40)/(x² - 3²)
The corresponding ratio in the large similar right triangle is (7 + 4)/x = 10/x
Therefore, the corresponding ratio is; x/3 = 10/x
The proportion is; x/3 = 10/x
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