Answer:
[tex]\frac{79}{12}[/tex] or 6[tex]\frac{7}{12}[/tex] gallons of gas.
Step-by-step explanation:
First, you have to convert both of your mixed numbers into a improper fractions.
2 [tex]\frac{1}{4}[/tex] = 9/4
4 [tex]\frac{2}{6}[/tex] = 26/6
Second, find the greatest common multiple of the denominators of both. In this case, it would be 12.
Then find the number that the first improper fraction's denominator would be multiplied by to get the GCM. Multiply both the nominator and the denominator by that number.
4 would need to be multiplied by 3 to get 12. So we multiply 9/4 by 3/3. We would get 27/12.
Repeat that for the second fraction's denominator.
6 would need to be multiplied by 2 to get 12. So we multiply 26/6 by 2/2. We would get 52/12.
Then add both fractions together.
[tex]\frac{27}{12}+\frac{52}{12}[/tex] [tex]=\frac{79}{12}[/tex]
If you need to, simplify.
[tex]\frac{79}{12} = 6\frac{7}{12}[/tex]
Hope that helped!
find the value of x
Answer
X= 20 degree angle
Answer:
[tex]34.50 \: \: degrees[/tex]
Step-by-step explanation:
[tex] \tan(x) \: \: = \frac{o}{a} \\ \tan(x ) = \frac{11}{16} \\ \tan(x) = 0.6875 \\ x = 34.50 \: \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
1) The quotient of two numbers is 4, and their difference is 3. What are the two numbers?
Answer:4&1
Step-by-step explanation:
since we are dividing two numbers to get for and when we subtract we get three
Which transformations are rigid transformations? Check all that apply.
dilation
reflection
rotation
stretch
translation
Answer:
Reflection, rotation and translation
Step-by-step explanation:
By definition, a rigid transformation is a transformation that preserves length.
Dilation and stretch change the measure of the figure, and then, they are not rigid transformations.
On the other hand, reflection, rotation and translation don't change the measure of the figure, only change its position and orientation, so, they are rigid transformations.
Reflection, translation, dilation are rigid transformations.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Rigid transformations is a transformation that preserves the shape and size of the figure. Types of rigid transformation are reflection, translation, dilation.
Find out more at: https://brainly.com/question/22274936
The pink highlighted one i already did
Answer:
i have da graph down below happy to help ya :)
Step-by-step explanation:
5. 8. 21. 17. 10, 11, 5
What is the median of the set of numbers?
D
A. 5
B. 10
C. 11
D. 17
Answer:
10
Step-by-step explanation:
You have to set up the number in order. They you have to work you way in from the ends.
Ms.Nichols recorded the amount of time, in minutes, that she exercised during the first ten days of the month. 30,45,25,25,35,5,40,35,40,20. What is the mean of the data set?
Hi!
I'm Happy to help you today!
The answer to this question would be 30!
This is because to find the mean you have to add everything up, then divide it by how many number's there are so for this problem it is:
30 + 45 + 25 + 25 + 35 + 5 + 40 + 35 + 40 + 20 = 300
Then Divide!
300 ÷ 10 = 30
So 30 is your answer!
-LimitedLegxnd
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How many 2-letter combinations can be created from the distinct letters in the word "mathematician"? Assume that the
order of the letters does not matter.
28
56
78
156
Answer:
Option A.
Step-by-step explanation:
The given word is "mathematician".
Here, total number of letter is 13 and
Number of distinct letters = 8
We need to select 2 distinct letters from word "mathematician".
It means we need to select 2 letters from 8 distinct letters.
Total ways [tex]=^8C_2[/tex]
[tex]=\dfrac{8!}{2!(8-2)!}[/tex]
[tex]=\dfrac{8\times 7\times 6!}{2\times 6!}[/tex]
[tex]=28[/tex]
Therefore, the correct option is A.
Answer:
A.
Step-by-step explanation:
hope this helps :)
Pls help me with this question
Answer:
6 years and 15 years of age
Step-by-step explanation:
Given the ratio of their ages is 2 : 5 = 2x : 5x ( x is a multiplier )
Then in 9 years their ages are 2x + 9 and 5x + 9 in the ratio 5 : 8
By proportion
[tex]\frac{2x+9}{5x+9}[/tex] = [tex]\frac{5}{8}[/tex] ( cross- multiply )
5(5x + 9) = 8(2x + 9) ← distribute parenthesis on both sides
25x + 45 = 16x + 72 ( subtract 16x from both sides )
9x + 45 = 72 ( subtract 45 from both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Thus
Rohit's age = 2x = 2( 3) = 6
James' age = 5x = 5(3) = 15
6 : 15 = 2 : 5
What is the solution of the system?
Y=10x-3
Y=7x+2
5/2, 41/3
-1/3, -1/3
3/5, 31/5
-5/3, -29/3
Answer:
a
Step-by-step explanation:
A color printer prints 16 pages in 6 minutes.
How many pages does it print per minute?
The right answer is 2.67
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
The color printer prints 2.67 pages in a minute.
(Rounded to the nearest tenth)
Step-by-step explanation:
6 minutes = 16 pages
1 minute = x
Cross multiple
6x = 16; then get X by itself
x = [tex]\frac{16}{6}[/tex]
x = 2.67 pages
cx is an altitude in triangle ABC.
Which statements are true? Select two options.
Ο ΔΑΒΟΣ ΔΒΧΟ
B
Ο ΔΑΧΟ - ΔΟΧΒ
X
Ο ΔBCΧΑ ΔΑCX
A
Ο ΔΑΟΒ - ΔΑΧΟ
C
Ο ΔΟΧΑ - ΔΟΒΑ
ΔAXC ~ ΔCXB
ΔACB ~ ΔAXC
Tina has 13 cups of water to divide evenly among 7 plants. which of the following best approximates the number of cups of water that each plant will get ?
1/2, 1, 1 1/2, 2, 2 1/2
Answer:
Option d, 2 cups.
Step-by-step explanation:
Tina has the number of cups of water = 13
She has to divide evenly among the number of plants = 7
The number of cups of water that each plant will get
= [tex]\frac{13}{7}[/tex] cups
= [tex]1\frac{6}{7}[/tex] cups
= 1.857 ≈ 1.9 cups
among the given 4 option, best approximates the number of cups would be 2 cups.
Option d, 2 cups.
Please help!
F(x)= 3x^2 +12x+5
Solve by completing the square with working out
-6x-x^2-8
Answer:
1-(x+3)^2
Step-by-step explanation:
hurry i will give brainliest!!
Answer:
i think a
Step-by-step explanation:
i'm not sure
Answer:
its c
Step-by-step explanation:
slopes are negative reciprocals
£10 is divided between Alex, Peter &
Angad so that Alex gets twice as
much as Peter, and Peter gets three
times as much as Angad. How
much does Peter get?
Answer: Peter gets £3
Step-by-step explanation:
Let Angad get x: equation will be 2(3x) + 3x + x = 10
X = 1 = Angad
Peter get 3x = 3*1 = 3
Answer:
Peter gets $3
Step-by-step explanation:
Someone help please this subject is difficult for me.
Answer:
5. 2/3 ft 2. 21 ft
Step-by-step explanation:
5. 8/h=24/2
24h=16
h=16/24=2/3
h=2/3 ft
2. 6/8=x/28
8x=168
x=21
21 ft
What's the answer????????
Answer:
960 cubic inches
Step-by-step explanation:
The formula for volume is V = l x w x h
Therefore, V=16x10x6=960 cubic inches
Which equation represents the line that passes through the point (8,1) and (10,5)?
What is the approximate probability that next years temperature ( year 16) will be in the 90s?
Answer:
20%
Step-by-step explanation:
Answer:
0.53
Step-by-step explanation:
what is 4^2+8x-11x+6-5x^2+2
--------------------------------------------------------------
4^2+8x-11x+6-5x^2+2
Add similar elements:
8x - 11x= -3x
4^2-3x+6-5x^2+2
Group like terms:
-5x^2-3x+4^2+6+2
Add the numbers:
6+2= 8
-5x^2-3x+4^2+8
4^2= 16
-5x^2-3x+16+8
Add the numbers:
16+8= 24
-5x^2-3x+24
Your Answer Is -5x^2-3x+24
plz mark me as brainliest if this helped :)
Working alone, Elisa can sweep a porch in 11 minutes. Pranav can sweep the same porch in 13 minutes. Find out how long it would take them if they worked together.
A) 5.96 minutes
B) 5.21 minutes
C) 5.86 minutes
D) 4.87 minutes
Answer:
Answer is A
Step-by-step explanation:
Elisa, e = 11mins
Prenav, p = 13mins
time to finish, t
1 = t( 1/11 + 1/13) = t (24/143)
Can anyone solve this?
Answer:
b
Step-by-step explanation:
i believe this makes the most sense
Really hope this helps!!
stay safe :0)
Answer:
B) Kathy starts each week with 108 phones to fix.
Step-by-step explanation:
P is the number of phones left for Kathy to fix
d is the number of days she worked.
This means every day Kathy works, she fixes 23 phone per day or 23 phones fixed a day. The total amount of phones is 108 which is what she has to fix every week.
The only option that makes sense is:
B) Kathy starts each week with 108 phones to fix.
Joshua and Caleb work at a furniture store. Joshua is paid $175 per week plus 5% of his total sales in dollars, x, which can be represented by g(x)=175+0.05x. Caleb is paid $532 per week plus 2% of his total sales in dollars, xx, which can be represented by f(x)=532+0.02x. Determine the value of x, in dollars, that will make their weekly pay the same.
Answer: x = $11,900
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Joshua’s earnings: g(x)=175+0.05x
Caleb's earnings: f(x)=532+0.02x.
So, if both earnings are equal:
g(x) =f (x)
175+0.05x =532+0.02x
Solving for x:
0.05x-0.02x = 532-175
0.03x= 357
x = 357 /0.03
x = $11,900
Feel free to ask for more if needed or if you did not understand something.
State the domain and range of the graph of this relation.
Answer:
Domain is { x> -15}
Range is { y >5}
Step-by-step explanation:
The domain is the possible x values
x is greater than -15 (open circle)
Domain is { x ≥ -15}
The range is the possible y values
y is greater than 5 (open circle)
Range is { y >5}
Joe run around the track is 1/4 of a mile.If we run halfway around the track, what fractional part of a mile have we run?
1/8 is half of 1/4
Step-by-step explanation:
1/8 + 1/8 = 1/4
The graph shows an image of a dilation about the origin with a scale factor of . What are the coordinates of the pre-image of , point A? (–8, –12) (–12, –8) (–2, –3) (–3, –2)
Answer:
A- (-8,-12)
Step-by-step explanation:
I got it right on the test
Answer:
The answer is A. (-8,-12)
Step-by-step explanation:
Because math is math and i got it right on the quiz :)
Between which two integers is between -140
Answer:
√50 is between 7 and 8 . Explanation: We can list out some of the squares and square roots that we know (I'll start from 5 ):. 5 √25 6 √36 7
Step-by-step explanation:
PLEASE HELPPPP!!!
The graph of f(x) is shown below.
If g(x) = 5x - 5, which statement is true?
A.
The y-intercept of f(x) is greater than the y-intercept of g(x).
B.
The x-intercept of f(x) is greater than the x-intercept of g(x).
C.
The x-intercept of f(x) is equal to the x-intercept of g(x).
D.
The y-intercept of f(x) is less than the y-intercept of g(x).
Answer:
Step-by-step explanation:
A
Answer:
C
Step-by-step explanation:
C
PLS ANSWER QUICK WITH FULL WORK
Answer:
∠ A = 31.3°, ∠ C = 58.7°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{13}{25}[/tex] , thus
∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{13}{25}[/tex] ) ≈ 31.3° ( to the nearest tenth )
The sum of the 3 angles in a triangle = 180° , thus
∠ C = 180° - (90 + 31.3)° = 180° - 121.3° = 58.7°