Answer:
[tex]\frac{19}{18}[/tex] or [tex]1 \frac{1}{18}[/tex]
Step-by-step explanation:
First, both fractions need to have a common denominator.
The LCM of 9 and 6 is 18.
[tex]\frac{16}{18} +\frac{3}{18}[/tex]
Add the numerators.
You get: [tex]\frac{19}{18}[/tex]
The mixed number form is [tex]1 \frac{1}{18}[/tex]
The expression [tex]\frac{8}{9} +\frac{1}{6},[/tex] expressed as a fraction, is [tex]\frac{19}{18}.[/tex]
In order to add fractions, it is essential to determine a common denominator.
The common denominator is [tex]9 \times 6 = 54.[/tex]
Now, let's convert the fractions to have the common denominator:
When we multiply the fraction 8/9 with 6 in numerator and denominator we get 48/54.
[tex]\frac{8}{9}= \frac{8}{9} \times \frac {6}{6}[/tex]
[tex]= \frac{48}{54}[/tex]
Now multiply the fraction 1/6 with 9 in numerator and denominator to make 54 in denominator:
[tex]\frac{1}{6}= \frac{1}{6} \times \frac {9}{9}[/tex]
[tex]= \frac{9}{54}[/tex]
Now, we can add the fractions:
[tex]\frac{48}{54} + \frac{9}{54} = \frac{(48 + 9)}{54}[/tex]
[tex]=\frac{57}{54}[/tex]
Despite this, we have the option to simplify the fraction by dividing both the numerator and the denominator with their greatest common divisor, which is 3.
[tex]\frac{57}{54} = \frac{19}{18}[/tex]
Therefore, [tex]\frac{8}{9} +\frac{1}{6},[/tex] expressed as a fraction, is [tex]\frac{19}{18}.[/tex]
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Which sums and/or differences equal 14? Check all that apply.
Answer:
What's the choices??
Step-by-step explanation:
Could someone please help me?
5 divided by 3/4 in simplest form
Answer:
improper form: 20/3
Mix Number: 6 2/3
Step-by-step explanation:
5/3/4
Can be simplified into 5 * 4/3
Which is 20/3
Hope this helps!
Answer:
e
Step-by-step explanation:e
A random sample of 500 adult residents of Maricopa County found that 361 were in favor of increasing the highway speed limit to 75 mph, while another sample of 400 adult residents of Pima County found that 270 were in favor of the increased speed limit. Construct a 95% confidence interval on the difference in the two proportions. Round your answer to four decimal places (e.g. 98.7654).
Answer:
5.006
Step-by-step explanation:
A man covers a distance of 150m in 1.5mins. Find the average speed in km per hour
Answer:
6 Km / hour
Step-by-step explanation:
Convert distance to Km ( 1 Km = 1000 m )
150 m = 150 ÷ 1000 = 0.15 Km
Convert 1.5 mins to hours ( 1 hour = 60 minutes )
1.5 = 1.5 ÷ 60 = 0.025 hours
average speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{0.15}{0.025}[/tex] = 6 Km / hour
The average speed in km per hour is 6 kilometers per hour
How to determine the average speed?The given parameters are:
Distance = 150 mTime = 1.5 minsConvert meters to kilometers
Distance = 150/1000 km
Distance = 0.15 km
Convert minutes to hours
Time = 1.5/60 hour
Time = 0.025 hour
The average speed is then calculated as:
Speed = Distance/Time
This gives
Speed = 0.15 km/0.025 hour
Evaluate
Speed = 6 kilometers per hour
Hence, the average speed in km per hour is 6 kilometers per hour
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If Dylan does a job in 50 hours and Kristen does a job in 75 hours, how long will it take them to do the job
together?
What is the sum of the numbers
1*2+2*3+.....n(n+1)
Answer:
8+n²+n
Step-by-step explanation:
Simplfy the expression
3. Use the vertical line test to determine whether the relation graphed below is a function
(1 point)
Oyes
Ono
O cannot be determined
Answer:yes
Step-by-step explanation:
Bc it is was r
Record the prime factorization of 720 using exponents
Answer:
20
Step-by-step explanation:Because thats the last two digets
The prime factorization of 720 using exponents is 2⁴×3²×5.
The given number is 720.
Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.
The factors of 720 are
720 = 2×2×2×2×3×3×5
Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
Now, 2×2×2×2×3×3×5 = 2⁴×3²×5
Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.
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The triangles shown below must be congruent.
25°
55-7
100"
100
55"
25°
0
о
A. True
о
B. False
9514 1404 393
Answer:
B. False
Step-by-step explanation:
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
There is nothing in the diagram to require the triangles be congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
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Find the area of the polynomial:
A.) 6a^3 + 12a^2 − 15a
B.) 6a^3 + 12a − 15
C.) 6a^2 + 12a − 15
D.) 5a^2 + 7a − 2
Answer:
A.) 6a^3 + 12a^2 - 15a
Step-by-step explanation:
Area = w * l
Area = 3a(2a^2 + 4a - 5)
Area = 6a^3 + 12a^2 - 15a
A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.
Answer:
6
Step-by-step explanation:
h = 8
Surface area = 66π
2πr(r +h) = 66π
2πr(r + 8) = 66π
[tex]r(r + 8) =\dfrac{66\pi }{2\pi }[/tex]
r² + 8r = 33
r² + 8r - 33 = 0
r² + 11r - 3r - 33 = 0
r(r + 11) - 3(r + 11) = 0
(r +11 ) (r - 3) = 0
r - 3 = 0 {Ignore r = -11 as radius will not have negative value}
r = 3
Diameter = 3*2 = 6 units
I will Make Brainliest ! Plz solve those 5 Question on the Picture.
Answer:
[tex]y = {x}^{2} - 2x \\ (i) y= {3}^{2} - 2(3) = 9 - 6 = 3 \\ (ii)see \: the \: attached \: graph \\ (iv) {( \times - 1)}^{2} - 1 = 0 \\ (iii)x = 1 \rightarrow \: y = - 1\rightarrow(1,-1)[/tex]
[tex](v) \: the \: interval \: 3 - 1[/tex]
The importance of crushing the Whiskey Rebellion was to uphold
Answer:
Federal Authority should be the answer
Simon bought a $48 table on sale at 30% off.
Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression
A)0.003(50)
B)0.3(50)
C)3(50)
D)30(50)
Explain, please!
Answer:
The answer is B. Hope this helps!
PLEASE HELP ITS DUE NOW!!!!!!
WILL MARK BRAINLIEST!!!!!
Answer:
answer is in the image
Step-by-step explanation:
hope you have a great day i hope its the answer
what is the order biggest to least.
6/40 -4 3/4 -9/20
Answer:
.15, -.45, -4.75
Step-by-step explanation:
put all of them into a ti84 calculator and convert to decimals and then you get your answer.
Answer:
6/40, > -9/20, > -4 3/4
because positive numbers are greater, and the smaller the negative number, the greater it is.
120 miles in 1 3/4 hours as a unit rate
9514 1404 393
Answer:
68 4/7 miles/hour
Step-by-step explanation:
The unit rate is found by dividing miles by hours:
(120 miles)/(7/4 hours) = 480/7 miles/hour = 68 4/7 miles/hour
rewrite 4x plus 2y equals 6 in slope intercept form.
Answer:y=-2x+3
Step-by-step explanation:
tickets to a fair cost $4 for children and $10 for adults. You are unsure of how many tickets were sold, but know that $200 was collected. define your variables. What would be my variables??
Answer:
4=
10=
200=
I dont actully know this i wanted to give it a try n all i got was this
Solve for x
1/4 + 1/2 + x = -3/4
Answer:
x = -3/2
Step-by-step explanation:
Lets first multiply the entire equation by 4 to get rid of the fractions.
1+2+4x = -3
3+4x = -3
4x = -6
x = -6/4
x = -3/2
g(x) = -x + 2, find g(5)
Answer:
-3
Step-by-step explanation:
-(5)+2 = -3
3. Write Math Two factors that make a product are sometimes called a factor
pair. Describe how using factor pairs helped you solve the problems.
Can you please tell me if this is correct ?
Answer:
(6*3) - 5
Step-by-step explanation:
The product of 6 & 3 = 6*3 = 18
5 less than 18 means the required number is 5 units smaller than 18. so you have to subtract from 18
18 - 5 = 13
13 is 5 less than 18
3x+2=198
Solve it as Soon as possible!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve for x ~
[tex]3x + 2 = 198[/tex][tex]3x = 198 - 2[/tex][tex]3x = 196[/tex][tex] \boxed{ \boxed{x = \dfrac{196}{3} } \: \: or \: \: \boxed{ x = 65.33}}[/tex]Answer:
[tex]\boxed{\blue{ = \frac{196}{3}}} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3x+2=198
Step 1: Subtract 2 from both sides.
3x+2−2=198−2
3x=196
Step 2: Divide both sides by 3.
[tex] \tt \: \frac{3x}{3} = \frac{196}{3} [/tex]
Result:
[tex]\boxed{\underline{ x = \frac{196}{3}}} [/tex]
An exponential function in the form y=2401(b)^x contains the point (4,1). What is the value of b?
Please helpp!! best answer gets brainliest
Answer:
the answer is B and C, because B equals .57 and C is .666 continuous
Answer:
C
Step-by-step explanation:
Turn everything into a fraction (round if needed)
4/7 = 0.571
A. 2/5 = 0.4 (0.4 < 0.57) since 0.4 is smaller than 0.57, it’s not A.
B. 0.57 (0.57 < 0.571) 0.56 is less than 0.571, so the answer could not be B.
C. 2/3 = 0.67 (0.67 > 0.57) 0.67 is greater than 0.571, meaning the answer could be C.
This is K12 in sixth grade
The committee is planning a party and 150 guests are expected. Each table seats 12 people.
How many tables will be needed to seat all 150 guests?
12
13
162
1800
Answer:
13
Step-by-step explanation:
divide 150 by 12
the answer is 12.5
round 12.5
;)
help pls and ty! i will give brainliest to the correct answer
Answer: 24km
Step-by-step explanation:
given 1cm : 8km
distance between cafe and restaurant upply store= 3cm
Real distance = 3x8 =24 km
equation with a variable on both sides that equal 27
Answer:
x +20 = 20 + 4 -x +10 (x =7)Step-by-step explanation:
equation with a variable on both sides that equal 27
x +20 = 20 + 4 -x +10
