Find the difference. Write your answer in simplest form.
11 7/16 - 4 7/12=
Answer:
163
——— = 3.39583
48
Step-by-step explanation:
47
Simplify ——
12
Equation at the end of step
1
:
117 47
——— - ——
16 12
STEP
2
:
117
Simplify ———
16
Equation at the end of step
2
:
117 47
——— - ——
16 12
STEP
3
:
Calculating the Least Common Multiple
3.1 Find the Least Common Multiple
The left denominator is : 16
The right denominator is : 12
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 4 2 4
3 0 1 1
Product of all
Prime Factors 16 12 48
Least Common Multiple:
48
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 3
Right_M = L.C.M / R_Deno = 4
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 117 • 3
—————————————————— = ———————
L.C.M 48
R. Mult. • R. Num. 47 • 4
—————————————————— = ——————
L.C.M 48
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
117 • 3 - (47 • 4) 163
—————————————————— = ———
48 48
Final result :
163
——— = 3.39583
48
Needs to be done today plz help!!
z- 2.12= 3.06 solve for z
Answer: 5.18
Step-by-step explanation:
Z= 3.06+2.12=5.18
Find the mean.
Z-score = -1.4
Standard Deviation: 7
x = 20
Answer:
9.6
Step-by-step explanation:
The area of a square is 49 units.What is the perimeter of the square?
Answer:
28
Step-by-step explanation:
If an area of a square is 49 units that means the length and the width are 7 units. Since a square has 4 sides that means 7*4=28. So there are 28 units.
what is the solution to the equasion 1/2x + 3= 2/3x + 1
Answer:
12
Step-by-step explanation:
1/2x+2=2/3x
2= 2/3x-1/2x
2=4/6x-3/6x
2=1/6x
multiply both sides by 6
x=12
Answer: x = 12
Step-by-step explanation:
1/2x + 3= 2/3x + 1
= 1/2x + 3 - 3 = 2/3x +1 -3
Simplify
= 1/2x = 2/3x -2
= -1/6x = -2
multiply both sides by -6
(-1/6x)(-6) = (-2)(-6)
x = 12
A weather balloon is launched in Texas from an altitude of 240 feet above sea level. If the balloon rises at a constant rate of 65 feet per
minute, which of the following equations could be used to find t, the time in minutes it will take the balloon to reach an altitude of 11,000
feet?
Onn
200
First off there is not any choices, second off the answer is it would take
165.5 minutes
It will take the balloon 165 minutes 30 seconds to reach an altitude of 11,000
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A weather balloon is launched in Texas from an altitude of 240 feet above sea level, and the balloon rises at a constant rate of 65 feet per minute.
Let the height of the balloon is h(t) where t represents time in minutes.
∴ The function that represents the height of the balloon at any point of time is h(t) = 65t + 240.
So, time required to reach the balloon an altitude of 11,000 feet is,
11000 = 65t + 240.
65t = 11000 = 240.
65t = 10760.
t = 10760/65.
t = 165.5 minutes or 165 minutes 30 seconds.
learn more about functions here :
https://brainly.com/question/12431044
#SPJ2
PLZ HELP I WILL GIVE 100 POINTS
Complete the paragraph proof below.
1.
2.
3.
4.
Answer:
1. linear pair
2. Substitution Property of Equality
3. Subtraction Property of Equality
4. <1 ≅ <3
Step-by-step explanation:
1. linear pair
A linear pair is a pair of angles that that are adjacent and add to 180 degrees
linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary.
2. Substitution Property of Equality
<1 + <2 = 180 and <2+ <3 = 180
<1 + <2 = <2 + <3
3. Subtraction Property of Equality
<1 + <2 - <2= <2 - <2+ <3
<1 = <3
4. <1 ≅ <3
Johnnie runs 4.5 km everyday to stay in shape. It takes him 30 minutes to run his route. What is his average speed per hour?
Answer:
6.6
Step-by-step explanation:
i need helppp asap 7x+3=4x-9
Answer: -4
Step-by-step explanation: Hello! :) To get started we need to use the equation 7x+3=4x-9, First, we need to subtract 4x from both sides to get 3x+3=-9, then we need to subtract 3 on both sides to get 3x=-12, Finally, we need to divide both sides by 3 to get x = -4. So x = -4.
Hope this helps!
Please consider marking Brainliest I am 1 away from 50!
Each day for two workweeks (10 days total), George weighs 4 bags from that day’s production. If the average of the means is 14 oz. and the average range is 0.4 oz., what is the lower control limit for an x-bar chart for this process?
a. 13.7084 oz.
b. 13.8768 oz.
c. 14.2916 oz.
d. 12.8000 oz.
e. 13.5908 oz.
Answer:
a. 13.7084 oz.
Step-by-step explanation:
Formula for Lower Control Limit =
(LCL = x-bar - A²R-bar)
x - bar = 14 oz
A2 = 0.729
R - bar = 0.4 oz
= 14 - 0.729 × 0.4
= 14 - 0.2916
= 13.7084oz
{(3, 2), (5, – 1), (6, 7), (3, – 8), (4, 2)} Which set of information is true about the relation shown?
Answer: the second function
Step-by-step explanation:
SOMEONE HELP ME!!!
Find the distance between points P(7, 4) and Q(1, 2) to the nearest tenth.
What is the midpoint of PQ?
Answer: the distance between the points are -17
Use the Pythagorean Theorem to find the missing length. Round your answer to the
nearest tenth.
In this triangle it is clear that the unknown side x is the hypotenuse of both the triangles that are being formed . So , let us take any one of the triangles and with it's length let us find the length of their hypotenuse which is side x .
= 5² + 5² = x² ( according to the pythagorean theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )
= 25 + 25 = x²
= 50 = x²
= 7.0710678119 = x
But they have given that we have to round it off to the nearest tenths , so ;
= 7.0710678119 will be equal to = 7.10
= 7.1 = x
Therefore , the length of the unknown side x = 7.1 .
what is the answer to the linked question
PLZ HELP ME ASAP!!!
Answer:
A: 492 km
B: 120 m
Step-by-step explanation:
Since it's a 1:x scale, just multiply it.
120 x 4.1 = 492
Then add the unit.
Same thing for B.
4 x 30 = 120.
120 m
A taxi charges $2.50 for each ride plus $1.25 per mile traveled.
If the total charge for one ride was $8.75, how many miles
were traveled?
Answer:
5 miles
Step-by-step explanation:
We have to figure out how many times $1.25 was charged. First, we have to do 2.50 + 1.25 = 3.75 + 1.25 = 5 + 1.25 = 6.25 + 1.25 = 7.5 + 1.25 = 8.75
We charged $1.25 5 times, so this means that it was 5 miles.
Answer:
5 miles
Explanation:
this is because if you subtract 2.50 from 8.75 then you will be left with 6.25. after you do this then you divide 6.25 by 1.25 and this will give you 5 miles.
(1/3)^2=? I need help with math I'm failing, because of my teacher
Answer:
1/9
Step-by-step explanation:
This is basically 1/3*1/3. The way you do this is multiply the top numbers together and then the bottom numbers, so 1*1=1 and 3*3= 9 so your answer is 1/9. Hope this helps you!
Find the distance between the two points in simplest radical form.
(8,-3) and (6,-8)
Answer:
5/2
Step-by-step explanation:
bella brought candy to give to 12 of her friends. Each riend received 4 pieces of candy.How many pieces of candy did she bring to school
Answer:
48
Step-by-step explanation:
she gives 4 pieces to 12 friends. so all you have to do it multiply 12 by 4
Answer: She brought 48 pieces of candy to school.
Step-by-step explanation:
12 times 4 is 48.
Jackie worked 7.5 hours yesterday. If she earns $8.05 an hour, how much did she earn yesterday?
Answer:
$8.05(7.5)= $60.375
Step-by-step explanation:
Just multiply the two together.
I think you would round to $60.38
but 60.375 is the exact answer
1 Polygon Q is a scaled copy of Polygon using a scale factor of 2. Polygon Q's area is what fraction of Polygon P's area?
Answer:
The answer is 5
Step-by-step explanation:
3+2=5
The perimeter of a rectangular room is 60 feet. Let pie be the width of the room (in feet) and let y be the length of the room (in feet). Select all of the equations below that could model this situation
Answer:
1.i dont know 2. we rock
Find the slope of the line passing through the points (-7,9) and (2,9).
slope=
Answer: The slope is 0
Step-by-step explanation:
The slope is the difference between the y coordinates divided by the difference between the x coordinates.
Y: 9 - 9 = 0
x: -7-2 = -9
0/-9= 0
32+8x
Simplify the following expression using the distributive property:
4.
(a) 28 + 4x
(c) 8 + 2x
I
(b) 36 + 12x
(d) 10x
Would it be answer b? :(
which expression is equivalent to 1/27
A. 3^1 x 3^-10
B. 3^-1 x 3^10
C. 3^-4 x 3^7
D. 3^4 x 3^-7
Answer:
D
Step-by-step explanation:
The camp director is putting 85 sack lunches in boxes for a picnic. She can fit 8 lunches in each box. She does the division problem shown to find out how many boxes she will need. 85 - 8 = 10 remainder 5 What is the meaning of the remainder in this situation? O A. The number of extra boxes needed. B. The number of extra lunches needed. O c The number of boxes left over after packing the lunches. O D. The number of lunches left over after packing the boxes. alguien me podría ayudar con la respuesta
Answer:
D
Step-by-step explanation:
Because that’s the answer Lol
Dan invests £800 into his bank account. He receives 5% per year compound interest. How much will Dan have after 4 years? Give your answer to the nearest penny where appropriate.
Answer:
£972.41
Step-by-step explanation:
1 x 0.5 =1.05
1.05x 800 ^4= £972.405
rounded is £972.41
Draw a coordinate plane on your paper and graph the following using intercepts. x+2y = 6 2x-y= 4
The red one is [tex]x +2y = 6[/tex] and the blue one is [tex]2x -y = 4[/tex]
The black points are the y-intercepts and and purple ones are the x-intercepts.
Help me pleaseee.....
Answer:
titutex=cos\alp,\alp∈[0:;π]
\displaystyle Then\; |x+\sqrt{1-x^2}|=\sqrt{2}(2x^2-1)\Leftright |cos\alp +sin\alp |=\sqrt{2}(2cos^2\alp -1)Then∣x+
1−x
2
∣=
2
(2x
2
−1)\Leftright∣cos\alp+sin\alp∣=
2
(2cos
2
\alp−1)
\displaystyle |\N {\sqrt{2}}cos(\alp-\frac{\pi}{4})|=\N {\sqrt{2}}cos(2\alp )\Right \alp\in[0\: ;\: \frac{\pi}{4}]\cup [\frac{3\pi}{4}\: ;\: \pi]∣N
2
cos(\alp−
4
π
)∣=N
2
cos(2\alp)\Right\alp∈[0;
4
π
]∪[
4
3π
;π]
1) \displaystyle \alp \in [0\: ;\: \frac{\pi}{4}]\alp∈[0;
4
π
]
\displaystyle cos(\alp -\frac{\pi}{4})=cos(2\alp )\dotscos(\alp−
4
π
)=cos(2\alp)…
2. \displaystyle \alp\in [\frac{3\pi}{4}\: ;\: \pi]\alp∈[
4
3π
;π]
\displaystyle -cos(\alp -\frac{\pi}{4})=cos(2\alp )\dots−cos(\alp−
4
π
)=cos(2\alp)…
1
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