Answer:
Addition and Subtraction of Fractions · 1. Add: (i) 7/ 10 + 2/15 (ii) 2²/₃ + 3¹/₂ · 2. Simplify: (i) 15/16 – 11/12 (ii) 11/15 – 7/20 · 3. Simplify: 4⁵/₆ – 2³/₈ + .
Answer:
7/10 + 2/15= 5/6
2 3/3 + 3 1/2= 6 1/2
15/16 - 11/12= 1/48
11/15 - 7/20= 23/60
Step-by-step explanation:
When adding or subtracting fraction with different denominators, we must find there LCM to be their new denominators. Then divide the new denominator by the old denominator, do for both fractions, then multiply the answer with the numerator, do for both fractions to get their new numerators. Then add or subtract the fractions. Then simplify the answer if needed.
Ex 1:
The LCM of 10 and 15 is 30
7/10 + 2/15
(30 ÷ 10=3, 3 × 7= 21)(30 ÷ 15= 2, 2 × 2=4)
=21/30 + 4/30= 25/30 or 5/6
With whole numbers, add the two whole numbers together. Then n add the fractions. Lastly add both of the answers together.
Ex:
The LCM of 3 and 2 is 6
2 3/3 + 3 1/2
=2 + 3= 5
= 3/3 + 1/2= 9/6 or 1 3/6 or 1 1/2
= 5 + 1 1/2
= 6 1/2
Always remember to simplify if possible or necessary.
I hope this helps! I'm sorry if it's wrong or too complicated.
six times the difference of x and 22
Answer:
6(x-22) or 6x-132
Step-by-step explanation:
translate into english : it says 6 times difference of x and 22, so you would need to do the subtraction first before you multiply by 6 which you get 6(x-22)!
Answer:
-4
Step-by-step explanation:
6*x-22
keep 6x on the LHS and -22 on the RHS
leave x in LHS and divide -22 with 6 on the RHS
the answer will come -4
URGENT!!!!! In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother 5
Does not have a brother 2
Has a sister 12
Does not have a sister 11
Answer:
i think its 0.43 but im not sure i hope this helps
Step-by-step explanation:
Answer:13/29
Step-by-step explanation:
\text{Fill out totals:}
Fill out totals:
Has a brother Does not have a brother Total
Has a sister 7 14 21
Does not have a sister 6 2 8
Total 13 16 29
\text{Number of students with a brother: 13}
Number of students with a brother: 13
\text{Number of students in the class: 29}
Number of students in the class: 29
\text{Probability: }\frac{13}{29}
Probability:
29
13
What is -2x + 5x + 4s
What is 325 .623 rounded to the nearest 10
The 325.623 round to the nearest 10 is 325.6.
What is round figures in maths?Rounding a number of means simplifying it while retaining its value close to what it was. The end output is less accurate but more usable. For instance, 73 rounded to the closest ten is 70, because 73 is closer to 70 than 80.
The tens' digit is the rule for rounding to the closest a hundred. If the number is five or more, round up. If the number is four or less, round down. Consider the number formed by the digits in the tens and one's columns when rounding to the nearest hundred.
To round to the next thousand, write down the multiple of 1000 closest to our number. The thousands' digit will either remain unchanged or rise by one.
Therefore, the nearest 10 is 325.6.
To learn more about round figures, refer to the link:
https://brainly.com/question/12342753
#SPJ2
Help needed ASAP will give brainliest.
Answer:
0.22, 15%, 1/7, 12%, 1/9
Step-by-step explanation:
Showing all given numbers in decimal form rounded to hundredths:
12% = 0.121/9 = 0.110.221/7 = 0.1415%= 0.15Putting them in the order from the greatest to least:
0.22, 0.15, 0.14, 0.12, 0.11Same order with original numbers:
0.22, 15%, 1/7, 12%, 1/9Matching with answer choices:
The third one from the top or C is the correct choiceIf town A had 35 people, 12 left, 13 joined, 39 joined, 25 got killed, how many people were there left?
Answer:
50
Step-by-step explanation:
35 - 12 + 13 + 39 - 25 = 50
A tree is broken at a height of 5 meters from the ground and it's top touches the ground existence of 12 m from the base of the tree find the original height of the tree
Answer:
18 m
Step-by-step explanation:
The given situation is equivalent to a right angled triangle as shown in the diagram attached.
AB is the height at which tree was cut.
And the top touches the ground at a point C.
So,
AB = 5 m and
AC = 12 m
Here, we have to find original height of the tree.
Original height of Tree = AB + BC OR AB + BC' (Because B is the point in height AC' of tree)
Let us consider the [tex]\triangle ABC[/tex].
As per pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow BC^{2} = AB^{2} + AC^{2}\\\Rightarrow BC ^2=5^2+12^2\\\Rightarrow BC = \sqrt{169}\\\Rightarrow BC = 13\ m[/tex]
Therefore the answer is :
Height of tree = 5+13 = 18 m
Choose a number line to model the following situation: Sheldon drove 15 miles east and then drove 35 miles west.
Answer:
Made a number line for this.
Step-by-step explanation:
Answer:
C. is the answer
Step-by-step explanation:
Two students were asked to use estimation strategies to find a reasonable solution to this question: Darrell has $1,990 saved and wants to buy a motorcycle. He earns $10 per hour and he works for 39 hours. Estimate how much money, Darrell has left after buying a $2,200 motorcycle. From the choices below, select the student with a more reasonable solution.
Answer:
1990+(10h)-2200
or
1990+(10x39)-2200
Step-by-step explanation:
he already has 1990
He earns $10 per hour
he works for 39 hours
$2,200 needed for a motorcycle
1990+(10h)-2200
or
1990+(10x39)-2200
what fraction is equivlant to 2/6
Answer:
1/3
Step-by-step explanation:
The simplest form of 2/6 is 1/3. You can do 2/6*.5/.5 to get 1/3
You can do other fractions such as 4/12, 8/24, as long as it the numerator maintains a ratio of 1:3
What are the simplified expressions on these expressions
1.3(2a+4)
2.2(3c-4)
3.5c+8c-4c+7
4.2c+5-8c-10
5.4(2-5k-2m)
6.5k+k+2
7.7p-8p+3p
8.9+4y+11+3y
9.8d+5f-2d-3d-7f
10.4(3a+1)+6a
11.7(3f+2)+2(5f-4)
12.6(3k+m-2)
13.2m+3m-m
14.c+6c-3c
15.8+4b-3+2b
16.3b-5b+8a-1
17.4f+4+3d-6-3f
Ik it’s a lot but I’m only in eighth grade and they want put me in ninth honors and this is only the third day and I’m so confused
answer:
1. 6a+12
2. 6c-8
3. 9c+7
4. -6c-5
5. 8-20k-8m
6. 6k+2
7. 2p
8. 7y+20
9. 3d-2f
10. 18a+4
11. 31f+6
12. 18k+6m-12
13. 4m
14. 2c
15. 6b+5
16. -2b+8a-1
17. f+3d-2
Hey! i just want to say that it's very easy when you just add variables with other same variable. for example, 2m+m. 2+1=3! and just pop the variable M in there. which equals 3m! super easy! right? hope this helped
evaluate given: x=2 & y=6 8-4x+5y
Answer:
30
Step-by-step explanation:
We are given the expression:
[tex]8-4x+5y[/tex]
and asked to evaluate given x=2 and y=6.
Therefore, we must substitute 2 for x and 6 for y.
[tex]8-4(2)+5(6)[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Multiply 4 and 2.
4*2= 8
[tex]8-8+5(6)[/tex]
Multiply 5 and 6.
5*6=30
[tex]8-8+30[/tex]
Subtract 8 from 8.
8-8=0
[tex]0+30[/tex]
Add 0 and 30.
[tex]30[/tex]
The expression 8-4x+5y when evaluated at x=2 and y=6 is equal to 30.
Jane is saving to buy a cell phone
$35 a month from her allowance
Does it make sense to represent to
and the number of months with a
your answer.
She is given a $100 gift to start and saves
after 1 month, Jane has saved $135.Does it make sense to represent the relationship between the amount saved
ne constant rate? Why or why not? Explain.
Answer:
She saves the same amount of money, it doesn't make sense to represent the amount saved and number of months with one constant rate.
Step-by-step explanation:
Because the se amount is saved every month, it makes ot linear, and then unnecessary to represent the amount saved and the number of months with one constant rate.
Which of the following statements contains a quotient?
A. 7 + 6 = 13
B. 7 - 6 = 1
C. 42 : 6 = 7
D. 7 x6 = 42
Answer:
C is a quotient
Step-by-step explanation:
quotient it the number you get from equally dividing a number
At a stop in New York City, 50 people board a subway every 10 minutes. After how long will 250 people have boarded a train at that stop? A. 20 minutes B. 40 minutes C. 50 minutes D. 1 hour
Answer:
C. 50 minutes
Step-by-step explanation:
each time, 50 people can aboard. to calculate how many times people aboard, divide 250 by 50, equals 5
each time to aboard takes 10 minutes, so multiply 5 by 10 equals 50minutes.
Find the Area of the parallelograms.
Answer:
2
Step-by-step explanation:
area of a parallelogram : b x h (base x height)
since there are no measurements, we are looking at the squares
im assuming that the squares are 1x1 squares
hence, for the base of the parallelogram, we are counting the squares
i added the halves together and got the answer 2
then we need to take the height
which im also assuming is 1
b x h = 1 x 2
a = 2
sorry if this is wrong but the angle that it was taken at, is not very clear ; (
Find the least number which should be subtracted from 500 to make it a perfect square
Answer: 16
Step-by-step explanation:
A perfect square is basically some number multiplied by itself. For example, 4 is a perfect square because 2x2=4.
22 x 22 = 484 (under 500)
23 x 23 = 529 (over 500)
Therefore, the perfect square must be 484.
Subtract 484 from 500:
500 - 484 = 16
16 is the answer :)
x sqrt 5xy^4 + sqrt 405x^3y^4-sqrt 80x^3y^4
Answer:
the three terms can be combined and reduce to:
[tex]6\,x\,y^2\,\sqrt{5\,x}[/tex]
Step-by-step explanation:
Start by extracting all perfect square factors from the square root in order to simplify the terms:
First term: [tex]x\,\sqrt{5\,x\,y^4}=x\,y^2\,\sqrt{5\,x}[/tex]
Second term: [tex]\sqrt{405\,x^3\,y^4} =\sqrt{3^4\,\,5\,\,x^2\,\,x\,y^2\,y^2} =9\,x\,y^2\,\sqrt{5\,x}[/tex]
Third term: [tex]-\sqrt{80\,x^3\,y^4} =-\sqrt{2^4\,\,5\,x\,x^2\,y^2\,y^2} =-4\,x\,y^2\,\sqrt{5\,x}[/tex]
Notice that all of the terms are like terms (contain the same radical part and variable part) so they can be combined:
[tex]\,x\,y^2\,\sqrt{5\,x}+9\,x\,y^2\,\sqrt{5\,x}-4\,x\,y^2\,\sqrt{5\,x}= 6\,x\,y^2\,\sqrt{5\,x}[/tex]
Answer: b on edge2021 6xy^2sqrt 5x
Step-by-step explanation: its on edge and yeah...like me up pls and thank you!
The dot plots below show the scores for a group of students for two rounds of a quiz: Which of the following inferences can be made using the dot plots? The range of round 2 is greater than the round 1 range. Round 2 scores are higher than round 1 scores. Round 1 scores are lower than round 2 scores. There is no overlap between the data.
===================================================
Explanation:
Choice A is true. The range is the difference of the max and min. Round 1 has a range of 5-4 = 1, while round 2's range is 5-1 = 4. Round 2 has a larger range of scores. We don't really need to do any kind of math here. We can simply spot that round 2 has its dots more spread out compared to round 1, so round 2 must have the larger range.Choice B is somewhat true. If we compare a score of 4 in round 1 to a score of 5 in round 2, then round 2 has a higher score. But we could easily flip things around. So saying one round has higher scores than the other is not particularly meaningful in this scenario. I would say it all depends on how you phrase the problem carefully. In any event, I would say that choice B is false since we can't definitively say it's true.Choice C is a similar story as choice B, just flip things around. So I'd say this is false too. We would need all of the dots of round 1 to be to the left of all the dots of round 2, in order for choice C to be a true statement. Because there's overlap, we run into a problem. Choice D is false because there is overlap for scores 4 and 5. In other words, both dot plots have dots over "4" and over "5". These are the scores the dot plots share in common.translating verbal expression: 1/2 of a m
Answer: (1/2) m
Step-by-step explanation:
1/2 of a m=(1/2) m
If you want to make it more comprehensive, I am going to provide you with some examples
1/2 of 8=1/2(8)=41/2 of 40=1/2(40)=20Applying [m] goes with the same pattern
Hope this helps!! :)
Please let me know if you have any question
Both Galapagos islands and the Island of Nauru are on the equator, but the Galapagos islands are at 90°W where the Island of Nauru is at 166.50°E. How far is it from the Galapagos islands to Nauru traveling over the Pacific ocean along the equator, correct to the nearest km?
Answer:
11565 km
Step-by-step explanation:
The computation is shown below:
But before reaching the final solution first we need to do the following calculations
The angle lies between the Galapagos and Nauru is
= 90° + 166.50°
= 256.5°
Since the sum of angle is 360 degrees
So the major arc and the minor arc is
= 360° - 256.5°
= 103.50°
Now the angles lies between galapagos islands is
= 180° - 90°
= 90°
And, between the naura island is
= 180° - 166.50°
= 13.5°
Now the total of this two island is
= 90° + 13.5°
= 103.5°
The length is
[tex]= \frac{\pi r }{180^{\circ}} \times \theta\\\\ = \frac{6,400\pi}{180^{\circ}} \times 103.5^{\circ}[/tex]
= 11565 km
Which statement below is true concerning the number 5/11?
Answer:
C. The number 5/11 is a rational number because it is a repeating decimal.
Step-by-step explanation:
The importance of this question is to distinguish a rational number from an irrational number.
A rational number can be written as a ratio or a set of repeating decimals.
An irrational number cannot be written as a ratio and cannot be represented by repeating decimals.
So out of the four options you have, the first two, A and B, are false, C is true, and D is false since rationality doesn't have anything to do with signs.
Cheers.
Anyone who can help???!! I need to get this done soon.
Answer:
FalseStep-by-step explanation:
1.7 is bigger than 1
2/3 is smaller than 1
Answer:
yea its false it should go 2/3 1 1.65 1.7
Step-by-step explanation:
if 2x^2+2x=12, what is x?
Answer:
x= 2
x= -3
Step-by-step explanation:
Solving as normal quadratic equation:
2x^2+2x=12x^2 +x = 6x^2 + x - 6= 0x = (-1 ± √(1+4*1*6)/2 x = ( - 1 ± √25)/2 x = (-1 ± 5)/2x= 2x= -3Roots are 2 and -3
Answer:
x = - 3 or x = 2Step-by-step explanation:
2x² + 2x - 12 = 0
Divide all the terms by 2 to simplify the terms
That's
x² + x - 6 = 0
Write x as a difference
That's
x² + 3x - 2x - 6 = 0
Factor x out of the equation
That's
x( x + 3) - 2x - 6 = 0
Factor out - 2 from the expression
x(x + 3) - 2( x + 3) = 0
Factor out x + 3 from the expression
That's
( x + 3)(x - 2) = 0
x + 3 = 0 x - 2 = 0x = - 3 x = 2Hope this helps you
Jessica want to slowly decrease her daily caloric intake, which is currently 2500 calories per day. She plans to decrease her calorie intake by 40 calories every 2 days for the next 30 days. Determine a reasonable domain and range for this situation.
Answer:
domain is (0, 30)
Range is (1900, 2500)
Step-by-step explanation:
We are told that Jessica plans to decrease her calorie intake by 40 calories every 2 days for the next 30 days.
This means that the domain of this period is between 0 days to 30 days.
Thus, the domain is (0, 30)
Now,she plans decrease of 40 calories every 2 days. This amounts to an average of 20 calories a day.
Which means that in a month of 30 days, she would have decreased her daily calorie intake by; 20 × 30 = 600 calories.
Since she is currently on 2500 calories per day, it means that the new targeted daily intake is; 2500 - 600 = 1900 calories.
Thus, the range for this situation would be between 1900 calories and 2500 calories.
Range = (1900, 2500)
What is the range in maths
Answer:
Range is the answer you get when you subtract the lowest number in a set of numbers from the highest number in the same set.
Step-by-step explanation:
Example
What is the range of 2,6,10,5,7 and 9
lowest number=2
highest number=10
range=10-2
range=8
Answer:
Range is the difference between the highest number in the group and the lowest number so you subtract the highest number from the lowest to get the range.
Step-by-step explanation:
If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ
Answer:
63° or 173°Step-by-step explanation:
You didn't specify where the point P is so there are two posibilites:
1.
P₁Z is dividing angle OZQ
then:
m∠P₁ZQ = m∠OZQ - m∠OZP₁ = 125° - 62° = 63°
2.
P₂Z is outside angle OZQ
then
m∠P₂ZQ = 360° - (m∠OZQ + m∠OZP₂) = 360° - (125° + 62°) = 173°
Find the area of a circle with a diameter of 20 inches. Use 3.14 for pi
Answer:
The area of the circle is 314 inches
Step-by-step explanation:
Area if a circle = πr²
r = radius
r= d/2
r=20 /2
r=10 inches
Area =3.14×10²
= 3.14×100
=314 inches
Answer:
314 in. cubed
Step-by-step explanation:
The formula to find the area of a circle is:
A= πr²
Pi is 3.14 so substitute that in
A= 3.14(r)²
The radius is 10 because the radius is half of the diameter. Half of 20 is 10. So substitute that in the radius symbol.
A= 3.14(10)²
Square 10, which is 10 times 10. 10 times 10 equals 100.
A= 3.14(100)
100 times 3.14 is 314 because 100 has two zeroes which means you move the decimal point in 3.14 two places to the right. It gets you 314.0 which is just 314.
A= 314
The graph of a function is shown below. What is the range?
A.) {1,2,3,4}
B.) All Real Numbers
C.) {1,2,4}
D.) {1,2,3,5}
Answer:
C) {1, 2, 4}Step-by-step explanation:
The coordinates of the point (x, y).
x is in the DOMAIN
y is in the RANGE
From the graph we have the points
(1, 2) → x = 1, y = 2
(2, 1) → x = 2, y = 1
(3, 4) → x = 3, y = 4
(5, 2) → x = 5, y = 2
DOMAIN = {1, 2, 3, 5}
RANGE = { 1, 2, 4}
/we only take the repeating element once/
A football field measures 300 feet in length. It can also be expressed as approximately 5.7 times 10 Superscript n miles. If there are 5,280 feet in 1 mile, which is the most reasonable value of n? Negative 3 Negative 2 2 3
Answer:
-2
Step-by-step explanation:
300 ft * (1 mile)/(5280 ft) = 0.057 miles = 5.7 * 10^-2 miles
Answer:
The answer is b
Step-by-step explanation: