(1) Combining fractions is just a matter of writing each individual fraction in terms of a common denominator. The least common multiple of 6, 4, and 8 is
LCM(6, 4, 8) = 24
since 6×4 = 4×6 = 8×3 = 24. So
2/6 = (2×4)/(6×4) = 8/24
1 1/4 = 4/4 + 1/4 = 5/4 = (5×6)/(4×6) = 30/24
13 4/8 = 104/8 + 4/8 = 108/8 = (108×3)/(8×3) = 324/24
Then
2/6 + 1 1/4 + 13 4/8 = 8/24 + 30/24 + 324/24 = 362/24 = 181/12
(2) We have
LCM(12, 9) = 36
since 12×3 = 9×4 = 36. Then
121 2/12 = 1452/12 + 2/12 = 1454/12 = (1454×3)/(12×3) = 4362/36
781 6/9 = 7029/9 + 6/9 = 7035/9 = 2345/3
please help me with this math is for my math homework
Answer:
that answer is (1)
hope that helps you
9514 1404 393
Answer:
1
Step-by-step explanation:
You can put either number in the form of the other to see they are equal. A number divided by itself gives a quotient of 1.
-1 1/10 = -(10·1 +1)/10 = -11/10 . . . . . matches the denominator
or
-11/10 = -1 1/10 . . . . . matches the numerator
__
(-11/10)/(-11/10) = 1 . . . . your quotient
_____
Additional comment
Here, we see that both numbers in the problem are negative, so we have an even number of minus signs. That means the quotient will be positive. Knowing this lets us eliminate the minus signs from the problem.
As you may know, there are a couple of (fully equivalent) ways to divide fractions.
1) "invert and multiply" or "dot swap"
(11/10) ÷ (11/10) = (11/10) · (10/11) . . . . . . . the denominator has been inverted
= (11·10)/(10·11) = 110/110 = 1
2) use the numerators when the denominators are equal.
(11/10) / (11/10) = 11/11 = 1 . . . . denominators of the fractions are both 10
6+m/2 = -3
Help me pleAseeee
Answer:
m = -18
Step-by-step explanation:
6 + m/2 = -3
Subtract 6 from each side
6 + m/2 -6 = -3-6
m/2 = -9
Multiply each side by 2
m/2 * 2 = -9*2
m = -18
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{6+ \dfrac{m}{2}=-3}}}\\\huge\boxed{\rightarrow\mathsf{6 + \dfrac{1}{2}m = -3}}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{\dfrac{1}{2}m+ 6 = -3}}\\\\\huge\boxed{\text{SUBTRACT 6 to BOTH SIDES}}\\\huge\boxed{\mathsf{\dfrac{1}{2}m + 6 - 6 = -3 + 3}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m = -9}}[/tex]
[tex]\huge\boxed{\text{MULTIPLY 2 to BOTH SIDES}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m \times 2 = 2 \times -9}}[/tex]
[tex]\huge\boxed{\mathsf{m = 2\times-9}}\\\huge\boxed{\mathsf{2\times-9 = m}}\\\huge\boxed{\mathsf{2\times-9 = \bf -18}}\\\\\huge\boxed{\textsf{Therefore, your answer: \bf -18}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
l find it difficult to solve this problem. Please help.
Answer:
27 square are there in the given figure
Write –0.4 in simplest form.
Answer as a Fraction: -2/5
Step-by-step explanation:
-0.4 = -4/10
= -2/5
How do I do these questions please explain everything to know
(3²)⁵
Answer:
3^10
Step-by-step explanation:
(3²)⁵
We know that a^b^c = a^(b*c)
(3²)⁵ = 3^(2*5)
= 3^10
Answer:
59,049
Step-by-step explanation:
(3^2)^5
~Use power rule
3^10
~Simplify
59,049
Best of Luck!
25 POINTS, I DONT UNDERSTANDDDDDD :C WHAT IS SO MISLEADING ABOUT THIS GRAPH???
Answer:
honestly, the graph look totally fine...
If one ere pressed to find something to complain about it, one could suggest that you do not know if this was the starting price of the stock or the ending price of the stock each day?... One could also argue that to be a bit more meaningful you might want to know the range of prices during each day...
look up what is called a candle stick graph.. each day looks like a candlestick... the top is the highest value each the bottom the lowest, and there is a line in the candle that shows the closing price
Step-by-step explanation:
2 1/6 x 4 1/2= and explain it
Answer:
9 3/4
Step-by-step explanation:
First you would want to multiply the whole number with their denominators and then add the numerator to that. 2*6+1 and 4*2+1 Then you keep the original denominator at the bottom of the fraction.
2*6+1/6 4*2+1/2 ---> 13/6 x 9/2
You would then simplify the crossing numbers 6 and 9. They both can be divided by three.
13/2 x 3/2 = 39/4
Now you would do long division where you divide 39 by 4
4 goes into 39 nine times subtracting 36 from 39.
You then end up with 1 which becomes you numerator, 4 is the new denominator and 9 is the whole number.
The answer of the given mixed numbers 2 1/6 x 4 1/2 is 9 3/4.
What is mixed numbers?A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers.
You should first multiply the entire number by the denominators of the other numbers, and then add the numerator to that result. 2*6+1 and 4*2+1 The original denominator is then kept at the bottom of the fraction.
(2*6+1)/6 x ( 4*2+1)/2 —-> 13/6 x 9/2
Next, you would streamline the intersection of numbers 6 and 9. They are both divisible by three.
13/2 x 3/2 = 39/4
You would now perform a long division by dividing 39 by 4.
4 multiplies 39 by 9 and subtracts 36 from 39.
In the end 3 becomes the numerator, 4 becomes the new denominator, and 9 is the total.
Therefore, 2 1/6 x 4 1/2 = 9 3/4.
To know more about the mixed numbers, click on the link
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a different way of proving the angle sum of a triangle is to use diagram
a.yes
Step-by-step explanation:
a.angle BCD =b because angle BCD is alternate angle of angle ABC
b.the two angles angle BAC and angle ACD is co-interior angle because they are inside a parallel line
6. Teri estimates that it will cost $200,000 to send his daughter to a private college in 16
years. He currently has $125,000 to deposit in an account. What simple interest rate
would
he need so that $125,000 grows info $200,000 in 16 years? Round to the nearest
percent.
How do I solve this?
The simple interest rate need by Teri will be 4%.
Step-by-step explanation:
Given:
Teri has $125,000 to deposit in his accounts so that he gets $200,000 in 16 years along with the simple interest.
To find:
The simple interest rate needed to grow $125,000 into $200,000 in 16 years.
Solution:
The principle amount Teri has = P = $125,000
The total amount Teri wants to have in 16 years = A = $200,000
The simple interest that will Teri earn = S.I
[tex]S.I= A - P =\$200,000-$125,000=\$ 75,000[/tex]
The rate of interest per year = R
The time for which money is deposited = T = 16 years
The simple interest is calculated by the formula:
[tex]S.I=\frac{P\times R\times T}{100}\\\$75,000=\frac{\$125,000\times R\times 16}{100}\\R=\frac{$75,000\times 100}{$125,000\times 16}=3.75\% \approx 4\%[/tex]
The simple interest rate need by Teri will be 4%.
Learn more about Simple interest here:
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Simple interest rate (R) is 3.75%
Given:
Amount deposit as saving (P) = $125,000
Number of year (n) = 16 year
Amount needed (A) = $200,000
Find:
Simple interest rate (R)
Computation:
Amount of interest (I) = A - P
Amount of interest (I) = 200,000 - 125,000
Amount of interest (I) = 75,000
So,
I = (P)(R)(T)
75,000 = (125,000)(R)(16)
75,000 = 2,000,000(R)
R = 75,000 / 2,000,000
R = 0.0375
Simple interest rate (R) = 3.75%
Learn more:
https://brainly.com/question/22004878?referrer=searchResults
First person to answer this correctly gets Branilist!
Answer:
9. -1
First combine the like terms (-5x and 3x), the move -9x to the other side. That equals 7x. Then move -16 (turn positive) and add it to -23, that equals -7. Divide both sides by 7.
10. 9
Add 1 to -24. Then move -23(turn positive) to the other side. Combine with -5 and you get 18. Then move 6r and subtract it from 8r. Divide both sides by 2.
11. 11
Subtract 7a from 9a= 2a. then add 3a and 2a and move 5a to the other side. Add -5a and 2a = -3a. Divide both sides by -3.
12. 5
Combine the like terms. Move -25 and turn it positive and then add it to 20= 45. Turn -2m positive and add it to 7m. Divide both sides by 9.
13. -5
Use the distributive property on both sides. Move 2k and subtract it from 4k= 2k. Move -8 and add it to -18= -10. Divide both sides by 2.
14. -2
Use the distributive property. Move -5n and add it to -6m= -m. Move 18 and subtract it from 20= 2. Divide both sides by -1.
15. -3
Use the distributive property and combine like terms. Move 4p to the other side and subtract from -7p= -11p. Change the sign of 16 and add to 17= 33. Divide both sides by -11.
16. -13
Use the distributive property (pay attention to signs) and combine the like terms. Move -8v, turn positive, and add to -6v= 2v. Move 14, turn negative, and combine with -12= -26. Divide both sides by 2.
Determine if the expression 8a – a4 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
The given expression
va polynomial.
represents
does NOT
represent
attempt 1 out of 2 / problem 1 out of max 1
Answer:
Represents
Step-by-step explanation:
Going over the basic definition of polynomial, an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division, we can see that the expression is indeed a polynomial.
How many sides does a rhombus HAVE?
One-fourth of a number decreased by 12 is 6. Find the number.
Answer: 1/4n-12=6
1n/4-12=6
n=72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
let the number be n , then
[tex]\frac{1}{4}[/tex] n - 12 = 6 ( multiply through by 4 to eliminate the fraction )
n - 48 = 24 ( add 48 to both sides )
n = 72
Hi, this is 3 questions In one! 1. Solve and simplify. 2/7 divided by 4/5
2. Convert the fraction to a decimal: 38/333
3. Convert the fraction to a decimal 12/111
THIS IS 3 in 1
Step-by-step explanation:
1.5/14
2.0.114114114....
3.0.108108108
plssss mark me brainliest
1. Ans; The choose D. 5/14
[tex] \frac{2}{7} \div \frac{4}{5} \\ \\ \frac{2}{7} \times \frac{5}{4} = \frac{5}{14} [/tex]
2. Ans; The choose B.(No D.)
[tex] \frac{38}{333} = 0.114[/tex]
3. Ans; The choose D.[tex] \frac{12}{111} = \frac{4}{37} = 0.108[/tex]
I hope I helped you^_^
What type of number is 80i?
(3/5) + (-6/7)+(-2/5)+(3/14) find
Answer:
Step-by-step explanation:
Rearrange the givens
3/5 - 2/5 - 6/7 + 3/14
1/5 - 12/14 + 3/14
1/5 - 9/14
The lowest common multiple is 70
14/70 - 45/70 = - 31/70
Round your answer to the nearest hundredth
Answer:
200
Step-by-step explanation:
90-35=125
180-125=55
55x4=220
220= 200
if there are two containers of sugar solution, the first is 4% concentration and second is 8% concentration. how much of each should we combine to get 40 gallons of 5% concentrate solution
Answer:
30 gallons solution 4% and 10 gallons solution 8%
Step-by-step explanation:
x•4%+y•8%=40•5%4x+8y=40•5 and x+y=40
x=40-y
4(40-y)+8y=200
160-4y+8y=200
4y=200-160
4y=40 => y=10 (gallons solution 8%)
=> x=40-10=30 (gallons solution 4%)
30 gallons solution 4% and 10 gallons solution 8%
Hi, please help me with this question.
what is 45+46+47+ ... +53+54?
Please don't just take points (this is a repost since someone did that)
Answer:
52 i think
Step-by-step explanation:
The question doesn't really say what to do, i say 52 because of the pattern
The required sum of the arithmetic progression is 441.
Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
45 + 46 + 47 . . . . . . 54
About sequence is an arithmetic sequence with,
First term a = 45
common difference d = 1
last term l = 54
Number of terms = 45 - 54 = 9
The required sum of the arithmetic progression can be given as,
s = n / 2 * ( 2a + (n - 1) d )
s = 9 / 2 * (2 * 45 + 8 * 1)
s = 9 / 2 * (98)
s = 9 *49
s = 441
Thus, the required sum of the arithmetic progression is 441.
Learn more about arithmetic progression here: https://brainly.com/question/20334860
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Evaluate 3yz +20 -xy if x =2, y = -3, and z = 4
Answer:
Ans. is -10. Explanation is in the attachment.
each day for several days, the charge in the price of a share of socks was -3$. The total charge in price during those days was -36$. Over how many days did the price decline
Answer: 12 days
Step-by-step explanation:
if the price is declining by -3$ then you just divide -36$by the -3$ and you get the amount of days it declined
You are trying to make a hole in one on the miniature golf green
3
3
5
7
9 X
a. Write an absolute value function that represents the path of the golf ball.
3
$ (z) = – 31x/+6
b. Write the function in part (a) as a piecewise function.
f(x) =
if x < 6
if x26
an arena is 1/2 full. After 1,500 people leave the arena, it is 1/3 full. What is the seating capacity of the arena?
Answer:
9000
Step-by-step explanation:
(x/2)-(x/3) = 1500
(x/6)=1500
x= 9000
Help me with this one
9514 1404 393
Answer:
"complete the square" to put in vertex form
Step-by-step explanation:
It may be helpful to consider the square of a binomial:
(x +a)² = x² +2ax +a²
The expression x² +x +1 is in the standard form of the expression on the right above. Comparing the coefficients of x, we see ...
2a = 1
a = 1/2
That means we can write ...
(x +1/2)² = x² +x +1/4
But we need x² +x +1, so we need to add 3/4 to the binomial square in order to make the expressions equal:
[tex]x^2+x+1\\\\=(x^2+x+\frac{1}{4})+\frac{3}{4}\\\\=(x+\frac{1}{2})^2+\frac{3}{4}[/tex]
_____
Another way to consider this is ...
x² +bx +c
= x² +2(b/2)x +(b/2)² +c -(b/2)² . . . . . . rewrite bx, add and subtract (b/2)²*
= (x +b/2)² +(c -(b/2)²)
for b=1, c=1, this becomes ...
x² +x +1 = (x +1/2)² +(1 -(1/2)²)
= (x +1/2)² +3/4
_____
* This process, "rewrite bx, add and subtract (b/2)²," is called "completing the square"—especially when written as (x-h)² +k, a parabola with vertex (h, k).
17. A rectangle has perimeter
40 in. If the width is 7 in, find the
area.
Area= 91
Step-by-step explanation:
if the width is 7 then the length is 13
13 times 7 is 91
Jaulas father throws Kayla a graduation party that costs $773. He pays the DJ $250, $75 for the cake, and $4 per party guest for food. How many guests were at the party?
Answer:
112 guests
Step-by-step explanation:
I. If her total cost is 773$
When Total = DJ + Cake + Guest
773 = 250 + 75 + 4(x)
773 = 325 + 4(x)
773 - 325 = 4(x)
448 = 4x
x = 448/4
x = 112
That makes guests are 112
Need awnsers please
Answer:
<C+83=90 [ sum of complementary angles ]
<C=90-83
<C=7
Now,
<C+83=180 [ sum of supplementary angles ]
<C=180-83
<C=97
To the person trying to hlp me here :D
Answer:
47. n = -3
48. n = -15
49. n = -13/3
50. n = -17/3
Step-by-step explanation:
47.
6n + 4n = -30, so 10n = -30. Dividing by 10 on both sides, we get that n = -3.
48.
6n - 4n = -30, so 2n = -30. Dividing by 2 on both sides, we get that n = -15.
49.
6n - 4 = -30, so 6n = -26. Dividing by 6 on both sides, we get that n = -13/3.
50.
6n + 4 = -30, so 6n = -34. Dividing by 6 on both sides, we get that n = -17/3.
|x|-5 what does the vertical bar means?
Answer:
it means absolute valuen so anything inside becomes a positve.
Step-by-step explanation:
What is the slope of the line for BOTH graphs? Are the slopes the same or different?
PLS HELP MEEE
Answer:
both are -10
Step-by-step explanation:
#1
x1 y1 x2 y2
1.5 180 6 135
(Y2-Y1) (135)-(180)= -45 ΔY -45
(X2-X1) (6)-(1.5)= 4.5 ΔX 4.5
slope= -10
B= 195
Y =-10X +195
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#2
x1 y1 x2 y2
1 175 8 105
(Y2-Y1) (105)-(175)= -70 ΔY -70
(X2-X1) (8)-(1)= 7 ΔX 7
slope= -10
B= 185
Y =-10X +185
