Answers
Step-by-step explanation:
(7/8) / (6/9)
= (7/8) / (2/3)
= (7/8) * (3/2)
= (7 * 3) / (8 * 2)
= 21/16.
The result is: 7/8 divided by 6/9 is equal to 21/16.
To divide one fraction by another, we can multiply the first fraction by the reciprocal (inverse) of the second fraction.
The reciprocal of a fraction is obtained by flipping it upside down.
we have to find 7/8 divided by 6/9:
now we find the reciprocal of 6/9.
Reciprocal of 6/9 = 9/6 (Flip the fraction upside down)
Multiply 7/8 by the reciprocal of 6/9.
(7/8) × (9/6)
To simplify the fraction, first, check if both the numerator and denominator share any common factors and then divide both by their greatest common divisor (GCD).
Now, let's calculate:
(7/8) × (9/6)
Multiply the numerators: 7 × 9 = 63
Multiply the denominators: 8 × 6 = 48
The result is 63/48.
Find the greatest common divisor (GCD) of the numerator and denominator, which is 3 in this case (GCD of 63 and 48).
Divide both the numerator and denominator by the GCD (3):
63 ÷ 3 = 21
48 ÷ 3 = 16
The simplified fraction is 21/16.
So, 7/8 divided by 6/9 is equal to 21/16.
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Related Questions
i need help with this
Answers
Answer:
62
Step-by-step explanation:
First off, vertical angles are always congruent. Which means <A will be equal to <B.
m<A=8x+14
m<B=2x+50
8x+14=2x+50
So you want to get x alone so subtract 2x from each side.
6x+14=50
Since the variable is not alone you will also need to subtract 14 from both sides.
6x=36
You will need to divide both sides by 6
x=6
You now have x. You need angle B though so your not finished.
Plug 6 in for x.
2(6)+50
12+50
62
<B=62
Is -4 greater than-8
Answers
Answer:
the answer is yes
Answer:
Yes, it is greater because the higher a negative number is the less the value. If that makes sense.
Step-by-step explanation:
g(n)=n+ 1
h(n) = 3n-5
Find (g*h)(-6)
Answers
Answer:
Step-by-step explanation:
h(-6) = 3(-6) - 5 = -18 - 5 = -23
g(-23) = -23 + 1 = -22
Answer:
Hi there!
Your answer is:
115
Step-by-step explanation:
(n+ 1) (3n-5)
(-6+1)(3(-6)-5)
(-5)(-18-5)
(-5)(-23)
115
1x 4 = 4 is a true statement. Which multiplication property is this an example of?
Answers
Answer:
Multiplicative Identity Property
Step-by-step explanation: The Product of what number times one will equal the same number.
In the given expression, 1 is multiplied by 4 and the answer is 4. So, the given expression shows the multiplicative identity property.
Given :
1 x 4 = 4 is a true statement.
The following steps can be used in order to determine which multiplication property the given expression is an example of:
Step 1 - Write the given expression.
1 [tex]\times[/tex] 4 = 4
Step 2 - According to the multiplicative identity property, when any number is multiplied by 1 then the answer is the number itself.
Step 3 - So, in the given expression 1 is multiplied by 4 and the answer is 4. So, the given expression shows the multiplicative identity property.
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Determine the difference between 6x2 + 3x - 8 and x2-3x + 4
Answers
Answer:
5x²+6x-12
Step-by-step explanation:
Difference means subtract
(6x²+3x-8)-(x²-3x+4)
5x²+6x-12
A building is 1450ft tall. How many meters tall is the building ? Use the fact that 1m = 3.28ft
Answers
Answer:
441.96
Step-by-step explanation: divide 1450 by 3.28
Write two polynomial functions whose quotient will be the same degree as the divisor?
Answers
Answer:
[tex]f(x) = 15x^2 -14x - 8[/tex]
[tex]g(x) = 5x + 2[/tex]
Step-by-step explanation:
Represent the two polynomials with f(x) and g(x)
The question requires that we assume values for f(x) and g(x) as long as the condition in the question is met;
Let
[tex]f(x) = 15x^2 -14x - 8[/tex]
[tex]g(x) = 5x + 2[/tex]
To determine if the condition is met, we need to divide f(x) by g(x)
[tex]\frac{f(x)}{g(x)} = \frac{15x^2 -14x - 8}{5x + 2}[/tex]
Factorize the numerator
[tex]\frac{f(x)}{g(x)} = \frac{15x^2 - 20x + 6x - 8}{5x + 2}[/tex]
[tex]\frac{f(x)}{g(x)} = \frac{(5x + 2)(3x - 4)}{5x + 2}[/tex]
Cross out 5x + 2
[tex]\frac{f(x)}{g(x)} = 3x - 4[/tex]
The result is referred to as quotient, Q
[tex]Q = 3x - 4[/tex]
Note that Q and g(x) have the same degree of 1
please please help me i can’t figure this out .. ernest's friend rolls a six-sided number cube and lands on square 8. She asks Ernest to guess what number she rolled. He guesses that she rolled a 3. She says he's wrong.
ernest wonders if she could have rolled a number other than 3. Use a mapping diagram to help guess what number she rolled.
If she would have rolled
Create a Mapping Diagram
When playing this game, the square you land on during the first turn depends on the number you roll. You can write this as a function: SQUARE(number), or S(n). For example, if you roll a 2, you end up on square 2 (when you land on 3 you move back a space). So S(2) = 2.
1. Describe the possible inputs of S(n) using words. (2 points: 1 point for the description, 1 point for the list of numbers)
2. Describe the possible outputs of S(n) using words. (1 point)
3. Draw a mapping diagram for S(n) that maps all the possible inputs and outputs for a player's first turn. Note that the player should begin on square 1. (6 points: 3 points for the inputs and outputs, and 3 points for the mapping)
4. In the mapping diagram you created, what numbers are in the domain of S(n)? Explain what this means. (2 points: 1 point for the domain, 1 point for the explanation)
5. What numbers are in the range of S(n)? Explain what this means. (2 points: 1 point for the range, 1 point for the explanation)
Evaluate the Conjecture
6. Based on the mapping diagram, is it possible that the player rolled a number other than 3 to land on square 8? If so, which number or numbers? Explain your answer. (2 points: 1 point for the answer, and 1 point for the explanation)
Defining Functions
7. Does the mapping diagram you created for S(n) for the first turn of the game represent a function? Why or why not? (2 points: 1 point for the answer, and 1 point for the explanation)
Answers
Answer:
1. The values of the dice. It can be 1,2,3,4,5,6.
2. Values in which you don’t move on the map. 2,5,6,11,14,15
3. inputs: 1,2,3,4,5,6
outputs: 2,2,8,5,6,8
4. Domain numbers are 1,2,3,4,5,6.
5. Range numbers are 2,2,8,5,6,8.
6.) The player could have rolled a 3 or a 6. Based on the chart, if they rolled a three they could land on a 8 and if they rolled a 6 they would have to move up a space.
7. The mapping diagram does represent a function because it tells how the numbers depend on each other.
Step-by-step explanation:
Which of the following functions is graphed below?
Answers
Answer:
Opinion C
Step-by-step explanation:
hope that will help you
Answer:
a
Step-by-step explanation:
Example problem: Name thex and y intercepts for y=-2x + 1
x-intercept 0= -2x +1 y intercept y = -2(0)+1
-1 = -2x
y= 1
0.5 = x
Find the x and y intercepts for y = 8x-4
O x=8, y = 4
x = 0.5, y = -4
O x=2,y=-4
O x= -4, y = 8
Answers
Step-by-step explanation:
for x=8,y=4
4=8x-4
8x=4+4
8x=8
x=1
y=8 (8)-4
y=64-4
y=60
for x=0.5, y= -4
-4=8x-4
8x= -4+4
8x=0
x=0
y=8 (0.5)-4
y=4-4
y=0
for x=2,y=-4
-4=8x-4
8x=4-4
8x=0
x=0
y=8 (2)-4
y=16-4
y=12
for x= -4,y=8
8=8x-4
8x=8+4
8x=12
x=1.5
y=8 (-4)-4
y= -32-4
y= -36
(3n4 + 6n + 6n)– (n+4n4 + 7n)
Answers
Answer:
-n⁴ + 4n
Step-by-step explanation:
Step 1: Write expression
(3n⁴ + 6n + 6n) - (n + 4n⁴ + 7n)
Step 2: Combine like terms
3n⁴ + 12n - (4n⁴ + 8n)
Step 3: Distribute -1
3n⁴ + 12n - 4n⁴ - 8n
Step 4: Combine like terms
-n⁴ + 4n
3n4-4n4=-1n4
12n-7n-n=4n
The answer will be
-1n4+4n
Number of Words in Book Titles: 6, 3, 5, 2, 2, 3, 3, 1,3
Find the mean (round to the nearest hundredth).
Answers
Answer:
About 3.11
Step-by-step explanation:
Add the numbers and divide the value by the number of values in the data set.
6 + 3 + 5 + 2 + 2 + 3 + 3 + 1 + 3 = 28
28/9 = 3.1111...
3.111... ≈ 3.11
Hope this helps.
The product of three consecutive
numbers CANNOT be:
A 210
B. 336
C. 560
D. 1716
Answers
Answer:
The answer is C
Step-by-step explanation:
Can someone help consider the following expression
Answers
Answer:
9u is a term
4 is a constant
Step-by-step explanation:
Coefficient is the number in front of the variable
Answer:
You have them right, just click 4 is a constant and your good to go.
Hope this helps, plz let me know if wrong.
please help meeee! please
Answers
Answer:
A) 48.8
Step-by-step explanation:
the mean is: sum of all terms divided by number of terms
49 + 37 + 41 + 54 + 63= 244
244/ 5= 48.8
Noah is driving to a concert and needs to pay for parking. There is an automatic fee of $8 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $2 for every hour he had his car in the lot. How much total money would Noah have to pay for parking if he left his car in the lot for 3 hours? How much would Noah have to pay if he left his car in the lot for tt hours?
Answers
The total charge for 3 hours of parking is $14 and for t hours it is given as 8 + 2t.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The automatic fee of parking is given as $8.
And, the charge for per hour parking is $2.
Suppose the number of hours the car is parked be x.
Then, the equation for the cost of parking for 3 hours is given as,
Automatic charge + 2 × per hour charge
⇒ 8 + 2 × 3 = $14
And, for t hou5rs the parking charge will be 8 + 2t.
Hence, the required charges for the parking are given as $14 and 8 + 2t respectively.
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a box in the shapr of s rectangular prism has a length of 3 5/8 inches, a width of 2 1/2 inches and a height of 4 inches. what is tje volume of the box?
Answers
Answer:
V = 36 1/4 in.^3
Step-by-step explanation:
V = LWH
L = 3 5/8 in.
W = 2 1/2 in.
H = 4 in.
V = (3 5/8)(2 1/2)(4) in.^3
Change the mixed numerals to fractions.
To change the mixed numeral a b/c to a fraction, do this:
a b/c = (ac + b)/c
V = (3 * 8 + 5)/8 * (2 * 2 + 1)/2 * 4/1
V = (24 + 5)/8 * (4 + 1)/2 * 4/1
V = 29/8 * 5/2 * 4/1 in.^3
V = 580/16 in.^3
V = 145/4 in.^3
V = 36 1/4 in.^3
The diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the other.
Explain why segments AC, CB, BD, and AD are all the same length.
Answers
All the points are equidistant from the centre of line AB, therefore it is just the same triangle but rotated. I hope this help but I can show you on paper if you don’t understand that answer :)
All the segments AC, CB, BD, and AD are same in length because all are radiuses of the circles which have same dimensions.
What is a radius?Radius is the distance between circle center point and the point at its circumference.
In the given problem,
AC and AD are clearly the radiuses of the circle whose center is at point A (say first circle). Therefore these must be equal in length.
AC = AD
Similarly, BC and BD are the radiuses of the circle whose center is at point B (say second circle) . Therefore these are also equal in length.
BC = BD
Now you can observe that the first circle has a radius AB also which is equal to the radius of second circle i.e., BA.
∴ Both the circles has same radius length.
and
∴AC = AD = CB = BD
Hence all the segments which are nothing but the radiuses of both the circles must be equal.
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Multiply.
(5x + 3z) (7x-z)
Simplify your answer.
Answers
Answer:
105[tex]x^{2}[/tex]z-15x[tex]z^{2}[/tex]
I might be wrong though
Step-by-step explanation:
What is 5.2137 rounded to the nearest thousandth?
Answers
Answer:
5.214
Step-by-step explanation:
is 9 rational or irrational and why
Answers
Answer:
9 is rational it can be A fraction
Step-by-step explanation:
Mrs. Moore walks 3 miles in one hour. How far does mrs.moore walk in 20 minutes?
A- 3 miles
B- 45 miles
C- 18 miles
D- 1 mile
Answers
20 min is a third of an hour so u do
3miles divided by 3
and u get the answer 1mile
Answer: D - 1 mile
Step-by-step explanation:
she walks 3 miles per hour -- one hour is equal to 60 minutes, and there are three 20s in 60. one mile per 20 = 60 (because 20*3=60) and so in 20 minutes she could walk 1 mile.
Solve the following equation. Then place the correct number in the box provided. Leave answer in terms of a mixed number.
6(2P - 1) > 5P + 2
Answers
Answer:
Since theres no box provided, all I can say Is the answer is p> 7/8
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
6*(2*p-1)-(5*p+2)>0
STEP 1:
Equation at the end of step 1
6 • (2p - 1) - (5p + 2) > 0
STEP 2:
Equation at the end of step 2
7p - 8 > 0
STEP 3:
3.1
Divide both sides by 7
p-(8/7) > 0
Answer:
the correct answer is p> 1 1/7
Step-by-step explanation:
A robot can complete 5 tasks in 3 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
Answers
b. the robot can do one task and a half in one hour.
simplify the following expression 3+5x+8-2x
Answers
Answer:
3x+11
Step-by-step explanation:
5x-2x= 3x + 3+8
3x+11
The simplest form of the expression is 3x + 11.
We have,
Expression:
3 + 5x + 8 - 2x
Combine like terms.
5x - 2x + 3 + 8
3x + 11
Now,
We can not simplify further.
Thus,
The simplest form of the expression is 3x + 11.
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Find the multiplicative inverse of both 300 and 0.054 . Express.your answer in decimal form
Answers
Answer:
multiplicative inverse of both 300 and 0.054
16.2
What's 2x-7y=-56 in slope intercept form
Answers
2x-7y=-56
-7y=2x+-56
+7y
y=2x-56
I think thats the answer. I hope this helped :)
Mrs. Li’s Student Test Scores
Student
Score compared to school average
Adam
+3
Bryan
0
Cierra
–4
Devaughn
+1
Elena
+5
Fionna
–2
Which students scored below the school average?
Bryan and Cierra
Cierra and Fionna
Bryan, Cierra, and Fionna
Adam, Devaughn, and Elena
Answers
bryan, cierra, and fionna
Answer:
The correct answer is, B. Cierra, Fionna, Bryan, Devaughn, Adam, Elena
Step-by-step explanation:
3. Miguel and his family are on vacation and notice an advertisement for a taxi service
that charges a fee of $12 to pick up a family and an additional fee of $0.55 per mile for
the trip. Write an equation that models this situation, using m to represent the number
of miles traveled and t to represent the total cost for the trip. Find the total cost of an
18 mile trip.
Student's Work
Student's Answer
A. t = 0.55m + 12; $21.90
B. t = 12m +0.55; $21.90
C. t = 0.55 + m + 12 $30.55
D. t = 0.55(12) + m; $24.60
Answers
Answer: The answer would be A : t=0.55m+12;$21.90
The equation that models the situation, using m to represent the number of miles traveled and t to represent the total cost for the trip is A. t = 0.55m + 12; and the total cost of an 18 mile trip is $21.90.
⇒ The correct answer is A. t = 0.55m + 12; $21.90
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now it is given that,
Cost of pick up = $12
Additional fee = $0.55 per mile
Now if,m represent the number of miles traveled and t to represent the total cost for the trip
Thus, Total additional fee = 0.55m
⇒ Total cost for the trip = Total additional fee + Cost of pick up
⇒ t = 12 + 0.55m
This is the equation that models the situation.
Now the total cost of an 18 mile trip, put m = 18 in the equation we get,
⇒ t = 12 + 0.55*18
⇒ t = 12 + 9.9
⇒ t = 21.9
Thus,the total cost of an 18 mile trip is $21.90.
The equation that models the situation, using m to represent the number of miles traveled and t to represent the total cost for the trip is A. t = 0.55m + 12; and the total cost of an 18 mile trip is $21.90.
Thus the correct answer is A. t = 0.55m + 12; $21.90
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Given ∠2 and ∠4 are vertical angles.
Prove ∠2 ≅ ∠4
Answers
A proof is a set of logical statements that show that a statement is rational and true. See the proof for the above statement below.
What is the proof that ∠2 ≅ ∠4?Given ∠2 and ∠3 make a linear pair hence,
∠2 + ∠3 = 180
∠3 = 180 - ∠2....................1
Again ∠3 and ∠ translate to a linear pair. Hence
∠ 3 + ∠4 = 180, thus
∠3 = 180 - ∠4 .........................2
Drawing from 1 and 2, we get
180 - ∠2 = 180 -∠4 [Remove 180 from both sides]
⇒ -∠2 = -∠4
or ∠2 = ∠4
Thus, we have proven that ∠ and ∠4 are congruent angles.
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Answer: View picture below!
Step-by-step explanation: Just did it!
