Answer:
24 gallons
Step-by-step explanation:
Since the 2 gallons of gas increased the fill ratio from 1/6 to 1/4, we can find how much of the tank the 2 gallons filled by solving the equation 1/4 - 1/6 = 1/12. This means that each gallon of gas is 1/24th of the tank.
Thus, the tank has a fuel capacity of 24 gallons.
Answer:
24
Step-by-step explanation:
Let x be the total fuel capacity of the tank, in gallons.
Then from the given information
x/6 + 2 = x/4,
Multiplying both sides by 12 to remove the fractions, we get
2x + 24 = 3x so x = 24.
Therefore, the total fuel capacity of the tank is 24 gallons.
All of the details to the question are in the picture that is attached in this question, please help
Answer: 10
The arc length of the semicircle is
a+(a+1)+(a+2)+(a+3)+(a+4)=5a+10
As x = 42, this means a+4 is 42/180 of the arc length of the circle, 5a+10.
So,
(42/180)(5a+10)=a+4
42(5a+10)=180(a+4) [multiply both sides by 180]
210a+420=180a+720 [distributive property]
30a+420=720 [subtract 180a from both sides]
30a=300 [subtract 420 from both sides]
a=10 [divide both sides by 30]
What order do I put the numbers in
We have following associations:
m ∠ADC + m ∠CDB = 180° → Definition of linear pair∠ADC is supplementary to ∠CDB → Definition of supplementary angles 2 · m ∠BDC = 180° → Substitution property of equalitym ∠BDC = 90° → Division property of equalityHow to complete the proof of a geometric theorem
In this question we need to fill the blanks of a given proof by understanding and taking advantage of the most important axioms and theorems of Euclidean geometry and real algebra. In this case, a linear pair is the combination of two angles whose sum equals 180°, and those angles are always supplementary.
Thus, we have following associations:
m ∠ADC + m ∠CDB = 180° → Definition of linear pair∠ADC is supplementary to ∠CDB → Definition of supplementary angles 2 · m ∠BDC = 180° → Substitution property of equalitym ∠BDC = 90° → Division property of equalityTo learn more on Euclidean theorem: https://brainly.com/question/13104788
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he tables represent the functions f(x) and g(x). A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, f(x), has the entries, negative 5, negative 3, negative 1, 1, 3, 5. A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, g(x), has the entries, negative 13, negative 9, negative 5, negative 1, 3, 7. Which input value produces the same output value for the two functions?
A function assigns the values. The input value that produces the same output value for the two functions is 1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For the given tables the x is the input while f(x) and g(x) are the outputs of the respective functions. Therefore, the input for which the two given functions will return the same output is 1.
Hence, the input value that produces the same output value for the two functions is 1.
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can someone please help mee
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Domain = [-3, 1)[/tex]
[tex]\qquad \tt \rightarrow \:Range = [-5 , 4][/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Domain = All possible values of x for which f(x) is defined
[ generally the extension of function in x - direction ]
Range = All possible values of f(x)
[ generally the extension of function in y - direction ]
[tex] \large\textsf{For the given graph : } [/tex]
[tex]\qquad \tt \rightarrow \: domain = [ -3, 1)[/tex]
[tex]\qquad \tt \rightarrow \: range= [ -5,4][/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
There are 5 types of fruit in a basket. There are 3 apples, 2 bananas, 4 oranges, 5 kiwi,
and 1 passionfruit. You ask a friend to bring you a piece of fruit. What is the probability of them bringing you an apple?
The probability of bringing an apple is 0.20
How to determine the probability?The distribution of the fruits is given as:
3 apples2 bananas4 oranges5 kiwi,1 passion fruit.The probability of bringing an apple is:
P(Apple) = Apple/Total
This gives
P(Apple) = 3/(3 + 2 + 4 + 5 + 1)
Evaluate
P(Apple) = 0.20
Hence, the probability of bringing an apple is 0.20
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x + 4 is prime x2 – 9 can be factored using the formula.
Answer:
difference-of-squares
Step-by-step explanation:
Find the inverse please tell me where to put the dots thanks
Answer:
Draw a line segment from (-7, -2) to (3, 8)
See the diagram below.
You do not have to draw the blue dashed line. It's there to show how the points reflect over.
=========================================================
Explanation:
The inverse will have us swap x and y. The point (x,y) becomes (y,x)
The endpoint (-2, -7) becomes (-7, -2)
Also (8,3) moves to (3, 8)
Visually, these points are being reflected over the line y = x to form the inverse. We only need to worry about the endpoints because 2 points is the minimum needed to form a straight line.
Check out the diagram below. The red segment is the inverse. The blue dashed line is the line y = x. You don't have to plot this line as it's just a visual tool to see what's going on. Your teacher likely will only want the red segment.
Since the original segment is parallel to y = x, the inverse is also parallel to the mirror line. All three lines are parallel.
Find the length of side BC.
Give your answer to 3 significant figures
Answer:
[tex]\huge\boxed{\sf BC = 19.4 \ cm}[/tex]
Step-by-step explanation:
Given:θ = 71°
Adjacent = AB = 6.3 cm
Required:Hypotenuse = BC = ?
We will use the trigonometric ratio of cos.
[tex]\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}[/tex]
What is the product of (6x^2 − 8)(9x^2 – x + 1)?
[tex](6 {x}^{2} - 8)(9 {x}^{2} - x + 1) \\ 54 {x}^{4} - 6 {x}^{3} + 6 {x}^{2} - 72{x}^{2} + 8x - 8 \\ 54 {x}^{4} - 6 {x}^{3} - 66 {x}^{2} + 8x - 8[/tex]
Hope it helps
please give brainliest
A carpenter started with a board that was 31 inches long. he cut 2 pieces that were each 3 inches long. he then cut 3 pieces that were each
Answer:
i don't know
Step-by-step explanation:
i
a suvery shows that 55℅
Answer: No. The intervals defined by the margin or error overlap
Step-by-step explanation:
If we think about it, with the worst margins, 55% could be 48% and then the 45% would be 52%, showing there is no clear yes or no and it is possible that the intervals could overlap
How many students scored 5 marks?
Answer:
9
Step-by-step explanation:
2 + 1 + 4 + 3 + 5 + 7 + 4 + 2 + 2 + 1 + x = 40
x = 40 - (2 + 1 + 4 + 3 + 5 + 7 + 4 + 2 + 2 + 1)
x = 40 - (3 + 7 + 12 + 6 + 3)
x = 40 - (10 + 18 + 3)
x = 40 - 31
x = 9
The average rate of the first part of Yi’s walk on a park loop was 4 miles per hour. She then met up with a friend and the two walked the rest of the way at an average rate of 5 miles per hour. The entire 3-mile walk took Yi 42 minutes (0.7 hour). Which equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend?
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Part 1 and has 4, x, and 4 x. The second row shows Part 2, and has, 5, 0.7 minus x, and 5 left-parenthesis 0.7 minus x right-parenthesis.
x = 0.7 – x
x + (0.7 – x) = 1
4x + 5(0.7 – x) = 1
4x + 5(0.7 – x) = 3
The equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend would be D; 4x + 5(0.7 – x) = 3.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Total distance covered = 3 miles.
The first part walked at the rate of 4 miles per hour.
Let us consider x hours was walked in the first part.
Total distance covered in x hours at the rate of 4 miles per hour will be 4x.
Now, the Second walk rate with meeting with friend will be 5 miles per hour.
The Total time is taken = 0.7 hours.
Therefore, time is taken in the second walk only = (0.7 - x) hours.
Distance covered in second walk = 5 (0.7 - x).
Total distance covered = distance covered in the first part + distance covered in the second part.
4x + 5 (0.7 - x) = 3 miles.
Hence, correct option is D; 4x + 5(0.7 – x) = 3.
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Answer:
its d
Step-by-step explanation:
A robot moves at a constant speed. The distance it moves and the time it spends moving are shown in this table:
10min 7km
15min 10.5km
20min 14km
Write an equation to describe the relationship between t, the time, and d, the distance.
The equation to describe the relationship between t, the time, and d, the distance is t = 1.43d
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
As we know,
time(t) = speed(s)×distance(d)
Speed is constant:
t ∝ d
t = kd
k = t/d = 10/7 = 15/10.5 = 20/14 = 1.428 ≈ 1.43
The equation is:
t = 1.43d
Thus, the equation to describe the relationship between t, the time, and d, the distance is t = 1.43d
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Answer:
d=0.7t
Step-by-step explanation:
the other dude is wrong
In the diagram below, line d is parallel to line c.
Which statement is true?
A
m∠1+m∠2=162∘
B
m∠1+m∠2=172∘
C
m∠1+m∠2=180∘
D
m∠1+m∠2=188∘
Answer:
85° = ∠x {corresponding angles}
∠x = ∠1 {vertically opp. angles}
And, ∠2 + 103° = 180° ( co-interior angles)
∠2 = 180° - 103°
∠2 = 77°
Now, m∠1 + m∠2 = 85° + 77°
= 162°
Hemce, option A. is the right answer.
If a || b and b I y then
Please help look at picture
Answer:
Abbly non of them your question is wrwon
4 hours minus 1 hour, 59 minutes, 58 sec-
onds equals
A. 2 hours, 2 seconds.
B. 3 hours, 1 minute, 2 seconds.
C. 2 hours, 1 minute, I second.
D. 3 hours, 2 seconds.
I just asked a question and this user name venus1234 deleted it for "Violating the Brainly Code" blah blah blah..............Here's the question. Points A and B are on a line with a slope that is . Point C is on the same line. Which could be the ratio of rise to run between points B and C? A. 9/12 B. 8/5 C. 14/17 D. 15/24 please hurry! :) thats all and I apparently "violated the code" I don't understand Isn't this a site for asking questions?
The ratio of rise to run between points B and C is the same as the slope of line AB
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Slope of a line = ratio of rise to run = rise / run
Hence:
The ratio of rise to run between points B and C is the same as the slope of line AB
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What do you consider to be the advantages of the numerical values? What do you consider to be the advantages of the visual representations? Which do you prefer working with, and why?
Visual representation is preferable for working for its attractive charts, graphs etc.
The advantages of the numerical values :
1. Numerical values are present in numerical methods. Numerical methods are easier to calculate with the help of mathematical operations like addition, subtraction, multiplication, division & others.
2. No analytical solution is present in numerical methods, only the numerical values are there. So, this is an advantage of numerical values.
The advantages of the visual representations
1. Visual representation gives us an easier way of understanding.
2. Visual representation makes something more interesting to read or solve.
3. Visual representation is best to arrange quantitative datas by using charts, graphs, attractive colors etc.
Which is preferable for working and why?
Visual representation is preferable for working. Because it is more easier way to solve something. The gained interest from visual representation also help to solve something quicker.
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Answer:
I myself prefer visual representation because to me it helps to see things visually and for understanding and working with charts and graphs.
Numerical methods make equations easier to calculate because they give us help of mathematical operations like in addition, subtraction, multiplication, division & others.
Visual representations give us easier ways of understanding and makes something more interesting to read or solve by simply looking at the visual.
Step-by-step explanation:
The function f(x) is shown on the graph.
-181x
15
12-
Hr)
-9-
6-
3-
-3
T
3
9
12-
10
18+
If f(x) = 0, what is x?
O 0 only
O -6 only
O-2, 1, or 3 only
O-6, -2, 1, or 3 only
Answer: -6
Step-by-step explanation:
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B
Answer:
the answer is (3,4) is the solution to line A but not to line b
can someone please help mee(20 points and i will give brainliest!!!)
The vertex is the lowest/highest point, depending on if the parabola opens upwards or downwards.
So because the vertex opens upwards, we are looking for the lowest point which is at (2,-3).
Inventory was taken on Day 1, Day 2, Day 5, Day 6, and Day 7. Norris wants to know roughly what the inventory was on Day 3.
What should he do to estimate the inventory on Day 3?
He should use the value for Day 2 because it is closest in value to Day 3.
He should randomly pick a point near the fitted line where x=3.
He should evaluate the function f(x)=−1/3 x+4 for y=3.
He should evaluate the function f(x)=−1/3 x+4 for x=3.
Answer:
A
Step-by-step explanation:
guessing
He should evaluate the function f(x)=−1/3 x+4 for x=3 , Option D is the correct answer.
What in Interpolation ?Interpolation is when the line of best fit is used to determine the value of a point that is within the range of plotted points.
It is given to find the value at Day 3 which lies in the range of the points used for plotting
The line for best fit is
f(x) = (-1/3)x +4
At x = 3
f(3) = (-1/3) * 3 +4
f(3) = -1+4 = 3
Therefore He should evaluate the function f(x)=−1/3 x+4 for x=3
Option D is the correct answer.
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The function f(x) = − x^2+ bx +1 is shown in the graph. What is the value of b?
Answer:
b = 4
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here ( h, k ) = (2, 5 ) , then
y = a(x - 2)² + 5
to find a substitute any point on the parabola into the equation
using (0, 1 ) then
1 = a(0 - 2)² + 5 ( subtract 5 from both sides )
- 4= a(- 2)²= 4a ( divide both sides by 4 )
- 1 = a
then
y = - ( x - 2)² + 5
= - (x² - 4x + 4) + 5
= - x² + 4x - 4 + 5
= - x² + 4x + 1 ← in the form ax² + bx + c
with b = 4
Consider the following graph.
Which statement best describes Cheryl's commute?
A. Cheryl accelerated to 65 mph, made a stop for 5.5 minutes, and then decelerated to 45 mph.
B. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and the decelerated to 45 mph.
C. Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.
D. Cheryl drove at a speed of 65 mph for 1 minute, made a stop for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes
The statement best describes Cheryl's computer is option C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.
How to find the function which was used to make graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses the x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
Let's assume the graph of Cheryl's commute was like the one below.
We can see that she started at 0 mph.
One minute later, she was up to 65 mph, so she had accelerated (increased her speed).
At 6.5 min (5.5 min later) her speed was still 65 mph therefore, she was driving at a constant speed.
Over the next 2.5 min, her speed dropped to 45 mph, therefore she was decelerating.
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Which answer choice shows the decimal 23.476 written in expanded form?
Answer: 23.476 = 20+3+0.4+0.07+0.006
Step-by-step explanation:
I think you were supposed to write down the choices but I will guess the answer is this one:
23.476 = 20+3+0.4+0.07+0.006
Hope I helped!
I’m not good at math PLEASE HELP
A pink crayon is made with 12\text{ mL}12 mL12, start text, space, m, L, end text of red wax for every 5\text{ mL}5 mL5, start text, space, m, L, end text of white wax. Which of the following wax mixtures will create the same shade of pink? Choose 2 answers: Choose 2 answers:
Mixtures D and E have a ratio of 5:12 and will create the same shade of pink. Options D and E are correct.
What is the difference between a ratio and a proportion?A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
Given data;
red wax = 12 ml
white wax = 5 ml
A red wax: white wax = 5:12
B. red wax: white wax=4:1
C red wax white wax = 13: 6
D. red wax: white wax=12:5
E. red wax white wax=12:5
Hence, mixtures D and E have a ratio of 5:12 and will create the same shade of pink.
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A plane flies at 350 mph in the direction 40° north of east, with a wind blowing at 40 mph in the direction 30° south of east. What is the plane’s drift angle?
5.90°
6.38°
45.89°
46.38°
If the plane flying in direction of 40° north of east at a speed of 350 mph and wind is blowing at 40 mph in the direction 30° south of east. then the drift angle will be 5.9 °.
Let's assume east as x axis and north as y axis.
Breaking velocity of plane into components
350 cos40° î + 350 sin40° ĵ
(350 × 0.76604) î + (350 × 0.64278) ĵ
268 î + 225 ĵ
Breaking velocity of wind into components
40 cos30° î - 40 sin30° ĵ
(40 × 0.86602) î - (40 × 0.5) ĵ
34.64 î - 20 ĵ
Now adding velocity of wind to velocity of plane as
The resultant velocity of the plane = initial velocity of plane + velocity of wind
( 268 + 34.64 ) î + ( 225 - 20 ) ĵ
302.64 î + 205 ĵ
So the final velocity of plane will be 302.64 î + 205 ĵ
Lets assume the angle of final velocity from east be θ
So Tan θ = perpendicular / base
So Tan θ = 205 / 302.64
Tan θ = 0.677
θ = Tan⁻¹(0.677)
θ = 34.12 °
As we know,
Drift angle is the difference of initial and final angle of the object measured from same reference.
Drift angle=| Initial angle of plane from east - final angle of plane from east |
Drift angle= | 40 - 34.12 |
Drift angle= 5.87 ° ≈ 5.9 °
So we used the concepts of vectors to solve the above question, first we find out the the final angle of plane from east and then takes the difference of initial and final angle from east to find the drift angle and that we got as 5.9 °.
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Find the reflection of the point (25, 25) across the y-axis.
Answer:
(-25, 25)
Step-by-step explanation:
let me know if you want an explanation!
