Brynen is driving to a new job five days this week. He drives 27 miles each way. His car gets 35 miles per gallon of gas. How many gallons of gas will he use driving to and from work this week? Round to the nearest tenth.
Answers
The number of gallons of gas Brynen will use in driving to and from work, during the week, obtained using arithmetic operations is 7 5/7 gallons
What are arithmetic operations?Arithmetic operations are operations involving addition, subtraction, multiplication, and division.
The distance Brynen travels each way to his new job = 27 miles
The distance his car gets per gallon of gas = 35 miles
The number of gallons he will use in a week (five days of driving in the week), can therefore, be found by arithmetic operations follows;
The distance Brynen travels = 27 × 2 × 5 = 270 miles
The number of gallons = 270 miles/(35 miles/gallon) = 270/35 = 7 25/35
7 25/35 = 7 5/7
The volume of gas he will use to and from work this week is; 7 5/7 gallons
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Related Questions
Irene y Alejandro tienen 73 libros irene tiene el doble que Alejandro mas 1 cuantos libros tiene cada uno?
Answers
Irene has 49 Books, and Alejandro has 24 books.
Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:
1. Irene has twice as many books as Alejandro plus 1:
x = 2y + 1
2. The total number of books between Irene and Alejandro is 73:
x + y = 73
We can now solve this system of equations to find the values of x and y.
Substituting the value of x from equation (1) into equation (2), we have:
(2y + 1) + y = 73
3y + 1 = 73
3y = 72
y = 24
Now, we can substitute the value of y into equation (1) to find x:
x = 2(24) + 1
x = 49
Therefore, Irene has 49 books, and Alejandro has 24 books.
To verify our solution, we can check if the sum of their books equals 73:
49 + 24 = 7
So, our solution is correct.
In conclusion, Irene has 49 books, and Alejandro has 24 books.
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3. How many different numbers can be created by selecting 4 of the digits from the number 8712395?
Answers
840 different numbers can be created selecting 4 of the digits from the number
How many different numbers can be created selecting 4 of the digits from the numberFrom the question, we have the following parameters that can be used in our computation:
Number = 8712395
Digits = 4
The count of digits in the number is 7
Using the above as a guide, we have the following:
First digit = any of the 7second digit = any of the remaining 6Third digit = any of the remaining 5Fourth digit = any of the remaining 4So, we have
Numbers = 7 * 6 * 5 * 4
Evaluate
Numbers = 840
Hence, 840 numbers can be formed
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Which sequence of transformations proves that shape I is similar to shape II?
A.
a reflection across the x-axis, and then a translation 6 units right
B.
translation 6 units right, and then a 90° clockwise rotation about the origin
C.
a 180° counterclockwise rotation about the origin
D.
a reflection across the y-axis, and then a translation 4 units up
E.
a reflection across the x-axis, followed by a 180° counterclockwise
rotation about the origin, and then a translation 4 units down
Answers
Answer:
D
Step-by-step explanation:
The shape I is a reflection across the y-axis, and then a translation 4 units up of shape II. Then the correct option is D.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape, but flipped the image.
Translation does not change the size and shape, but changes the location of the geometry.
The shape I is a reflection across the y-axis, and then a translation 4 units up of shape II.
Then the correct option is D.
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100%
Which is true?
O A. 2.01 < 2.2
B. 0.060 > 0.1
O C. 3.259 < 3.2
D. 0.088 > 0.098
E. 9.9 > 10.01
Due right now like now
Answers
Answer:
A
Step-by-step explanation:
2.2 IS GREATER THAN 2.01
A walking path 78 mile long Colleen planted 14 bushes the same distance apart along the path how far power are the 1st 2 bushes along the path
Answers
Answer:
The bushes will be located 6 meters apart from each other.
Step-by-step explanation:
Given that at a walking path 78 mile long Colleen planted 14 bushes the same distance apart along the path, to determine how far away are the 1st 2 bushes along the path, the following calculation must be performed:
78/13 = X
6 = X
Thus, since the first bush is at meter 0, the remaining 13 bushes will be located 6 meters apart.
Write each as a percent
4.54
Answers
Answer:
454%
Step-by-step explanation:
i think this is corrrect hope it helps
Answer:
The answer should be 454%
Step-by-step explanation:
Lmk if this helped
f(x)=x^2-12x+20
a. f(0) = ?
b. f(2) = ?
c. f(x) = 0,x = ?
d. f(x)= 9,x = ?
Answers
Answer:
c . f(x)=0,x=????????????
Under what circumstances may a health insurer charge a higher premium to a woman with a genetic disposition to breast cancer? a) Her mother has breast cancer but she doesn't. O b) She has breast cancer. c) Her sister has breast cancer but she doesn't. d) Health insurers can never discriminate based on genetic information in this way.
Answers
Answer:
i think all can be corrected. and all r right
Point C has a coordinate of (-4, -6) and point D has a coordinate of (1, -6), how far are they apart?
Answers
The distance between points C and D is given as follows:
5 units.
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The coordinates for this problem are given as follows:
(-4, -6) and (1, -6).
Hence the distance is given as follows:
\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)
D = 5 units.
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Which equation describes the line whose x-intercept is (4,0) and whose y-intercept is (0,-3)?
Answers
Answer:
\(y = \frac{3}{4}x - 3\)
Step-by-step explanation:
In slope intercept form y = mx + b
We have the y intercept already so our equation becomes y = mx -3. Now we need to figure out the slope, we do this by subtracting the y values from both points and the x values from both points:
-3 - 0 = -3
0 - 4 = -4
Slope = -3/-4 the negatives cancel and now we have 3/4 as the slope.
Now the equation is y = 3/4x -3
\( y \: = \: \frac{3}{4} x \: - 3\)
Double checking by inputting values such as x = 0 we now get (0, -3) which is correct and if the x-intercept is 4 then it should give us a y value of 0 which = (4,0). Yep! This is the correct linear equation for the line described
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Answers
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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What is meant by conflict cycle?
Answers
Answer:
It all starts with something that creates "Tension" between you and another person. "Tension" leads to "Role Dilemma" or blaming the other person for the tension and the problem. ... Then both of you start "Gathering Injustices" to use as ammunition for the inescapable showdown.
Which decimal is greater: 4.58 or 4.5?
Answers
Answer
Since 3 is greater than 0 we know that 7.835 is greater than 7.8. We follow the same process to find that 7.35 is less than 7.358. Then we can put the number
There you go I hope that helps and have a great day
Please let me know if any one can help
Answers
Answer:
No
Step-by-step explanation:
To find the number of items in an array use multiplication. If there are 2 rows and 5 columns the number of items would be equal to 2*5. Think of having 2 groups of 5 or 5+5. If you do this you get 10 objects. Additionally, if you were to draw out the array and count the objects you would get 10. Therefore the answer 8 is unreasonable.
Select the correct answer. Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answers
Answer: C
she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.
B plus 14 what do that equal to
Answers
Answer:
14b
Step-by-step explanation:
A rotating sprinkler can spray out to 12 feet. The sprinkler rotates through an angle of 200 degrees . How many square feet of grass is watered by the sprinkler ( sector area )
Answers
Given:
The range of spray is 12 feet and rotation angle is 200 degree.
Required:
How many square feet of grass is watered by the sprinkler.
Explanation:
Here
radius r = 12 ft
angle of rotation = 200 degree
We have a formula to find the sector area
\(A=\frac{\pi r^2\emptyset}{360}\)now put the value
\(A=\frac{3.14*12^2*200}{360}\)\(A=\frac{3.14*144*20}{36}\)\(A=\frac{3.14*144*10}{18}\)\(A=\frac{3.14*144*5}{9}\)\(A=3.14*16*5\)\(A=251\text{ ft}^2\)Final Answer:
251 square feet of grass is watered by the
13 = 11 - 4x
Two step equation please help?
Answers
Decimal form: X= -0.5
Brady can feed, water, and clean up after 24 cows in 120 minutes. McKenna takes 360 minutes to care for 24 cows. How long will it take Brady and McKenna working together to care for 24 cows?
Answers
Answer:
Minutes= 90
Step-by-step explanation:
Brady will take care of 24 cows in 120 minutes.
Rate of Brady = 24/120
Mc Kenna takes care of same 24 cows in 360 minutes.
Rate of Mc Kenna = 24/360
Sum of rates = 24/120 + 24/360
Sum of rates =( 72+24)/360
Sum of rates = 96/360
Sum of rates = 96/360
Let's determine how many minutes it will take them total to take of Same 24 cows
Minutes = 24/rate
Minutes = 24/(96/360)
Minutes =( 24*360)/96
Minutes= 90
In a series of high jumps, Megan cleared 5'6" for 80% of her jumps. She wants to create a model for the probability of jumps cleared at 5'6". What is a
hypothesis Megan could make?
A. Megan will clear 5'6" for 100% of her jumps.
B. Megan will clear 5'4" for 100% of her jumps.
C. Megan will clear 56* on 80% or more of her jumps.
D. Megan will clear 5'8" on 80% or more of her jumps.
Answers
The best hypothesis based on the given information is Option C: Megan will clear 5'6" on 80% or more of her jumps.
What is hypothesis?A hypothesis is an educated guess or tentative explanation for a phenomenon or observation that can be tested through further investigation and experimentation. It is a proposed explanation or prediction for an event or set of events that is based on limited evidence or observations, and which serves as the starting point for scientific inquiry.
According to question:Based on the given information, Megan cleared 5'6" for 80% of her jumps. To create a hypothesis for the probability of future jumps cleared at 5'6", we need to make an educated guess based on this data.
Option A, stating that Megan will clear 5'6" for 100% of her jumps, is too optimistic and doesn't take into account the possibility of error or difficulty in jumping.
Option B, stating that Megan will clear 5'4" for 100% of her jumps, is not relevant to the given information about Megan's performance at 5'6".
Option D, stating that Megan will clear 5'8" on 80% or more of her jumps, is also not supported by the given information and is too high of a goal for Megan to realistically achieve.
Therefore, the best hypothesis based on the given information is Option C: Megan will clear 5'6" on 80% or more of her jumps. This hypothesis is supported by the fact that Megan has already achieved this level of performance in the past, and it allows for the possibility of some variability or error in future jumps.
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two planes take off from the same airstrip. the first plane flies west for 150 miles and then flies 30 degrees south of west for 220 miles. the second plane flies east for 220 miles and then flies x degrees south of east for 150 miles. if x < 30, which plane is farther from the airstrip after the second leg? justify your answer.
Answers
The first plane is farther from the airstrip after the second leg
Which plane is farther from the airstrip after the second leg?The first plane
Initial distance = 150 miles west
Additional distance = 220 miles 30 degrees SW
This means that
Additional distance = 220 * cos(30) miles SW
Additional distance = 190.53 miles
Total distance = 150 + 190.53 = 340.53
The second plane
Initial distance = 220 miles east
Additional distance = 150 miles x degrees SE
This means that
Additional distance = 150 * cos(x) miles SW
Total distance = 220 + 150 cos(x)
Given that
x < 30
We have
Second plane < First plane
220 + 150 cos(x) < 340.53
Evaluate
cos(x) < 0.8035
Take the arc cos of both sides
x < 36
x < 36 is not the same as x < 30
Hence, the first plane is farther
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Suppose we have two random variables X and Y . The one with a
higher coefficient of variation exhibits higher variability Is true, false or uncertain?
Answers
The statement that the one with a higher coefficient of variation exhibits higher variability is true.
How to explain thisThe coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.
If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.
To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.
The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.
The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.
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Need help now please!
Answers
The exact value of tan2θ in simplest radical form is -21/√7.
What is the value of tan2θ?The value of tan2θ at the given quadrant is calculated as follows;
From Pythagorean identity, we know that;
sin² θ + cos² θ = 1
cos² θ is calculated as follows;
(3/4)² + cos² θ = 1
9/16 + cos² θ = 1
cos² θ = 1 - 9/16
cos² θ = 7/16
cos θ = √(7/16)
The value of tan θ is calculated as follows;
tan θ = sin θ / cos θ = 3/4 x 4/√7 = 3/√7
Now, we will find tan 2θ;
tan 2θ = 2tan θ / (1 - tan² θ)
tan 2θ = 2(3/√7) / (1 - (3/√7)²)
tan 2θ = (6/√7) / (-2/7)
tan 2θ = -21/√7
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Find the value of b in the triangle below.
Answers
Answer:
12 ft
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
16² + b² = 20²
256 + b² = 400
b² = 144
b = \(\sqrt{144}\)
b = 12
Kyra is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve large rooms that can hold 8 people, and small rooms that can hold 6 people. Kyra reserved twice as many large rooms as small rooms, which altogether can accommodate 88 guests. Determine the number of small rooms reserved and the number of large rooms reserved.
Answers
The number of small rooms reserved is 4.
The number of large rooms reserved is 8.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Small rooms are denoted as S.
Large rooms are denoted as L.
Now,
We will make two equations.
L = 2S _____(1)
8L + 6S = 88 ______(2)
Putting (1) in (2) we get,
8L + 6S = 88
8 x (2S) + 6S = 88
16S + 6S = 88
22S = 88
S = 88/22
S = 8/2
S = 4
Now,
Putting S = 4 in (1) we get,
L = 2 x 4
L = 8
Thus,
The number of small rooms and large rooms reserved is 4 and 8.
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A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
Answers
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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The actual distance between the two houses is 44.1ft. The contractor measures the distance as 46ft. Find the relative error of the contractor's measurement.
Answers
math math math math math math math
Answers
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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At the local art exhibit, childrens tickets cost $3 each and adult tickets cost $4 each. On a certain day, the exhibit sold 56 tickets and earned $203 in revenue. How many childrens tickets and how many adult tickets were sold?
Answers
Answer:
Children=21 Adult=35
Step-by-step explanation:
[using c for children tickets and a for adult tickets]
56=c+a and 203=3c+4a [starting system of equations]
a=56-c ---> 203=3c+4(56-c) [plugging the first eq. into the second]
203=3c+224-4c [simplify]
-21=-c [simplify 2.0]
c=21 [simplify 3.0]
56=21+a [plugging back into org. eq.]
so a=35
Write an equation in general form (Ax+By+C =0) for the line that passes through A(2, 4) and B(11, 8).
Answers
Answer:
4x - 9y + 28 = 0------------------------
Find the slope of AB:
m(AB) = (8 - 4)/(11 - 2) = 4/9Use point-slope form and point A(2, 4) to determine the line:
y - 4 = (4/9)(x - 2)Multiply both sides by 9 to clear fraction:
9(y - 4) = 4(x - 2)Open parenthesis and convert the equation into ax + by + c = 0:
9y - 36 = 4x - 8 ⇒4x - 9y - 8 + 36 = 0 ⇒4x - 9y + 28 = 0