To reciprocal the term for dividing, then multiply both fractions and get the solution to model 2/3 ÷ 3/4 = 8/9.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
The numeral model is given in the question following:
⇒ 2/3 ÷ 3/4 = 8/9
According to the given question, the required solution would be as:
Find the reciprocal in this situation to divide by a fraction:
3/4 divided by 2/3
This would be: 2/3 x 4/3
When you multiply the components, you get 8/9.
Thus, to reciprocal the term for dividing, then multiply both fractions and get the solution.
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Final answer:
To show that 2/3 divided by 3/4 equals 8/9, we multiply 2/3 by the reciprocal of 3/4, which is 4/3, yielding the answer 8/9. This illustrates that division by a fraction involves multiplying by its reciprocal.
Explanation:
To explain how the model shows that 2/3 ÷ 3/4 = 8/9, we need to understand division of fractions and the concept of reciprocals. Division of fractions is the same as multiplying by the reciprocal of the divisor. The reciprocal of 3/4 is 4/3. Therefore, to divide 2/3 by 3/4, we multiply 2/3 by 4/3:
(2/3) × (4/3) = 8/9
This demonstrates that dividing by a fraction is equivalent to multiplying by its reciprocal. We can also use familiar scenarios to rationalize the answer. For instance, we know that half of one half (1/2 × 1/2) equals one quarter (1/4) and this helps us understand the process - we are scaling a number by another when we multiply fractions.
When discussing multiplication and division of fractions, it is useful to remember that these operations are fundamentally linked; division is essentially multiplication by a reciprocal. Hence, dividing 2/3 by 3/4 is the same as multiplying 2/3 by the reciprocal of 3/4, which is 4/3, resulting in 8/9.
What is the product of 4.23 and 1.2
Answer:
its 5.08
Step-by-step explanation:
Question 7 of 25
2 Points
Give the slope of y- 3 = 4(x+8) and a point on the line.
O
A. The slope is 4 and (-8,3) is on the line.
O
B. The slope is 4 and (8, -3) is on the line.
O
C. The slope is 3 and (-8, 4) is on the line.
O
D. The slope is 8 and (3, 4) is on the line.
Answer:
A
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = 4(x + 8) ← is in point- slope form
with slope m = 4 and (a, b) = (- 8, 3) → A
HELP!! ILL MARK BRANLIEST!!
Determine the approximate ordered pair for f(x) = g(x).
the graph of two linear functions negative 4 times x plus 15 times y equals negative 300 and 20 times x plus 4 times y equals negative 20
(−3, 9)
(−3, 8)
(3, −19)
(3, −8)
Answer:
3, -19 is the answer
Step-by-step explanation:
solved it
Answer:
Its D
Step-by-step explanation:
look above
hello! could anyone help me on this one khan acadamy question. it is soooooooo hard for me to understand this lesson.
-1 / 4 = -0.25
1 / 3 = .3
-0.25 / .3 = -0.833333333.
Answer:
-3/4
Step-by-step explanation:
what method can you use to calculate 40÷7 fast?
Answer:
Usally the fastest method to calculating a problem is to do it in your head. With enough practice your brain will be faster then most tools, ganing efficiency with practice.
Answer:
Step-by-step explanation:
In your head:
5 * 7 = 35 so its 5 point something with remainder 5.
7*7 = 49 so its 5.7 approximately.
Reduce each fraction:
144 over 168
144/168
reduce the fraction by dividing by 4
144/4= 36
168/4= 42
36/42 - reduce by dividing by 6
36/6= 6
42/6= 7
answer:
6/7
help me quick plz and thx
Answer:
As the first term is 11, and the sequence increases by a common difference of 11, it can be modelled with the equation 11+(n-1)(11) where n is the nth term
Hence the 100th term is 11+ 99(11)= 1100
On Monday, Harold picked up five donuts and two large coffees for the office staff. He paid $ 5.08. On Tuesday, Melinda picked up two donuts and three large coffees for the office staff. She paid $ 4.10 What is the cost of one donut? What is the cost of one large coffee?
Answer:
x=0.64
y=0.94
Step-by-step explanation:
x price of one donut
y price of one large coffee
To determine x and y you have to solve this system:
5x+2y=5.08
2x+3y=4.10.
:)
slope = –8, (1,4) in slope intercept form
Answer:
y= -8x-12
Step-by-step explanation:
y-4= -8(x-1)
-8x+8
+4= +4
y= -8x+12
Answer:
The correct answer on E2020 Is y=-8x(1,4)+y+8x+(1,4)
Hope this helps you!
(p.s:Please mark me as brainlyest!)
Step-by-step explanation:
I just took the test
BIG IDEAS MATH
Writing Expressions > Section Exercises 3.2 > Exercise 27
Write the phrase as an expression. Then evaluate when y = 20.
3 less than the quotient of a number y and 4
Expression:
When y=20, the value of the expression is
Basic
Write the phrase an expression. The evaluate when y=20
3 less than the quotient of a number y and 4.
Answer:
The required expression is [tex]\frac{y}{4}-3[/tex].
The value of the expression when y=20 is 2.
Step-by-step explanation:
Consider the provided phase.
3 less than the quotient of a number y and 4
The quotient of a number y and 4 can be written as: [tex]\frac{y}{4}[/tex]
Now 3 less than the quotient of a number y and 4 can be written as:
[tex]\frac{y}{4}-3[/tex]
Hence, the required expression is [tex]\frac{y}{4}-3[/tex].
Now evaluate when y=20.
Substitute y=20 in above expression.
[tex]\frac{20}{4}-3[/tex]
[tex]5-3[/tex]
[tex]2[/tex]
Hence, the value of the expression when y=20 is 2.
What is the solution to the equation
2/3x+1/6=1
Answer:
x = 5/4
Step-by-step explanation:
We can solve for x by isolating it from the other numbers. Move everything else over to the other side in reverse BEDMAS order.
[tex]\frac{2}{3}x + \frac{1}{6} = 1[/tex]
[tex]\frac{4}{6}x + \frac{1}{6} = 1[/tex] Give the fractions common denominators
[tex]\frac{4}{6}x + \frac{1}{6} - \frac{1}{6} = 1 - \frac{1}{6}[/tex] Subtract 1/6 from both sides
[tex]\frac{4}{6}x = 1 - \frac{1}{6}[/tex] 1/6 is cancelled out on the left side
[tex]\frac{4}{6}x = \frac{5}{6}[/tex] Simplify the right side
[tex]\frac{\frac{4}{6}x}{4/6} = \frac{\frac{5}{6}}{4/6}[/tex] Divide both sides by 4/6
[tex]\frac{4}{6}x X\frac{6}{4} = \frac{5}{6} X\frac{6}{4}[/tex] Dividing is like multiplying by the flipped second fraction on both sides
[tex]\frac{24}{24}x = \frac{30}{24} [/tex] Simplify. 24/24 = 1 and reduce 30/24
[tex]x = \frac{5}{4} [/tex] Final answer
Jonah plants flower in garden. He plants 2 flowers in each row and 5 rows. DrAw an array to figure out how many flowers he has planted
there are about 9 billion devices(9×10 to the ninth power) connected to the Internet. If a wireless router can support 300 devices how many wireless routers are necessary to connect oh 9 billion devices wirelessly? Write in scientific notation.
3*10^7 routers will be needed for 9 billion devices
Step-by-step explanation:
Given
[tex]Total Devices = 9\ billion = 9*10^9\ devices\\[/tex]
1 router supports 300 devices
So we have to divide the total number of devices by the devices supported by 1 router to find the number of routers
So,
[tex]Total\ number\ of\ routers= \frac{Devices}{Devices\ with\ one router}\\=\frac{9*10^9}{300}\\=\frac{900*10^7}{300}\\=3*10^7\ routers[/tex]
Hence,
3*10^7 routers will be needed for 9 billion devices
Keywords: Routers, devices
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michael mixes 60 ounces of red paint with 15 ounces of blue paint to get a shade of purple.what is the ratio of red paint to blue paint expressed in lowest terms?
Answer: 4:1
Step-by-step explanation:
Red paint = 60 ounces
Blue paint = 15 ounces
Ratio = 60/15 = 4/1 = 4:1 to the lowest term.
Alexa Alexa brought 32 apples for $4.16 at the rate what 1 Apple cost
Answer:0.13
Step-by-step explanation:i think
The cost of each apple is given by the rate. Then the cost of each apple will be $0.13 per apple.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Alexa brought 32 apples for $4.16.
Then the cost of each apple rate will be given as,
Rate = $4.16 / 32
Rate = $0.13 for each apple
The cost of each apple is given by the rate. Then the cost of each apple will be $0.13 per apple.
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the local pet store receives a shipment of tropical fish 75% of the tropical fish were clownfish if the shipment includes 60 clownfish how many total tropical fish were in the shipment
Answer:
105
Tropical fish:75%
60 clownfish included in shipment
Step 1 :Multiply 75%×60
Step 2:Simplify 60×75÷100=6×75/10=450/10=45
Step 3:Add 60+45=105
Please answer this correctly is the answer
2:29am
3:29am
1:35am
6:29am
Answer:
2:29 AM
Step-by-step explanation:
By the time the planes reaches California, the time, in Mountain time, is 14:89 AM or 3:29 AM. From the mountains to the Pacific, the time goes back by 1 hour. 3:29 - 1 hour is 2:29 AM.
if john can buy 8 liters of soft drinks at the store for $6.40 how much does it cost to buy 12 liters
Answer:
$9.60
Step-by-step explanation:
first figure out cost for 1 liter.
6.40 / 8 = 0.80
1 liter = $0.80
12 * 0.80 = 9.60
12 liter = $9.60
prove the identity with steps. sin (x-y)/cos x sin y = tan x cot y -1
Step-by-step explanation:
sin(x−y) / (cos x sin y)
Use angle sum/difference formula:
(sin x cos y − sin y cos x) / (cos x sin y)
Divide:
(sin x cos y) / (cos x sin y) − 1
Rearrange:
(sin x / cos x) (cos y / sin y) − 1
Simplify:
tan x cot y − 1
Susie wants to write equations in the form y=mx + b for the lines passing through
point R that are parallel and perpendicular to line s. First she finds the slope of lines
and line v to be and the slope of line t to be 3. Point R is located at (2, 2). Which
step could be used to find the y-intercepts?
Answer:
Substitute the slope and the coordinates of point R (2,2) in y=mx+b and then solve for b for each equation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Substitute the slope and the coordinates of point R (2,2) in y=mx+b and then solve for b for each equation.
Mindy is saving money she started with $0 after six weeks she had $90 saved mindy is not sure exactly how much money she saved each week she assumes that she saved money at a constant rate from when she started saving money through week 6 what is the proportional relationship
The amount saved per week is $15 assuming a constant saving rate per week.
Initial amount = $0Final amount = $90Number of week, n = 6Assume she has saved at a constant rate ;
The amount saved per week will be : (Final amount - initial amount) / number of weeks ($90 - $0) ÷ 6$90 ÷ 6 = $15The amount saved per week is $15
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Final answer:
Mindy saved $90 over 6 weeks, suggesting a constant rate of saving $15 per week. The proportional relationship between her total savings (y) and the number of weeks (x) is y = 15x.
Explanation:
Mindy started with $0 and after six weeks had $90. To find the proportional relationship between the money saved and the number of weeks, we assume that she saves the same amount every week. Since we know the total savings and the total time, we can divide the total savings by the number of weeks to find the constant rate.
Mindy's weekly saving rate would be:
Calculate the total amount saved: $90.
Divide the total amount by the number of weeks: $90 ÷ 6 weeks.
The result is $15 per week.
Therefore, the constant rate of saving is $15 per week. The proportional relationship can be represented as y = 15x, where y represents the total amount saved and x represents the number of weeks.
Help A.S.A.P please thank you and please :D
Answer:
Emma was right to say that both packages are close to 2 pounds.
If we round-off the weights of both to the nearest whole number we would get 2 pounds on both. We look at the the difference of both from 2 pounds we get the following:
2.36 - 2.0 = 0.36
2.09 - 2.0 = 0.09
The smaller the difference the closer it is to the base value. So we can say that the closest one is 2.0 pounds is the package that weighs 2.09 pounds.
change 5.25 to mixed number
Answer:
Step-by-step explanation:
5 1/4 or 525
Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back plus 3% simple interest over one year. Write an equation to represent the total amount Gwen will owe her parents. What is the total amount of money Gwen will owe her parents?
Answer:
$309
Step-by-step explanation:
Use the formula for simple interest: [tex]A = P(1+rt)[/tex]
A represents total amount, unknown in this case.
P represents principal, or starting amount, 300 in this case.
r represents the interest rate in decimal form, 3% in this case, or 0.03.
t represents time, usually in years, 1 in this case.
[tex]A = P(1+rt)[/tex]
[tex]A = 300(1+(0.03)(1))[/tex]
[tex]A = 300(1.03)[/tex]
[tex]A = 309[/tex]
Gwen will owe $309.
A triangle has two angles measuring 69 and 77. Determine the measure of the third angle b
Answer:
[tex]m\angle B=34\°[/tex]
Step-by-step explanation:
Given measures of 2 angles of a triangle :
m∠A = 69°
m∠C = 79°
Find m∠B.
We know that sum of angles of a triangle =180°
So, we have
[tex]m\angle A+m\angle B+m\angle C=180\°[/tex]
Substituting the vales of m∠A = 69° and m∠C = 79°
[tex]69\°+m\angle B+77\°=180\°[/tex]
Adding like terms.
[tex]m\angle B+146\°=180\°[/tex]
Subtracting both sides by 146°.
[tex]m\angle B+146\°-146\°=180\°-146\°[/tex]
∴ [tex]m\angle B=34\°[/tex] (Answer)
A student answered three questions on a 40-percent test incorrectly. What percent did the student answer correctly
Answer:
The percentage of questions correctly answered by the student was 92.5%
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Number of questions incorrectly answered by the student = 3
Number of questions on the test = 40
2. What percentage did the student answer correctly?
Number of questions correctly answered by the student = Number of questions on the test - Number of questions incorrectly answered by the student
Replacing with the real values:
Number of questions correctly answered by the student = 40 - 3
Number of questions correctly answered by the student = 37
Now, let's calculate the percentage:
Percentage = Number of questions correctly answered by the student /Number of questions on the test * 100
Percentage = 37 /40 * 100
Percentage = 0.925 * 100
Percentage = 92.5%
9.6.6. The pawn shop business model. On April 9, 2011 The New York Times reported on a pawn shop that opened in an ex-Blockbuster store: The borrowers are given 60 days to pay back the loan, and La Familia charges a 20 percent interest rate per month. (So for a $100 loan, the borrower would need to pay back $140 after 60 days.) a. Explain why 20% interest per month on a $100 loan for two months would actually require repayment of a little more than $140. b. What is the annual interest rate when this business lends money?
Find the square root of (3√5-3)³
Answer: 76.36753237
Step-by-step explanation:
If you have trouble, you can always use Desmos Scientific calculator and get your answer straight away.
27 points!! will mark brainliest ! thanks guys
Answer:
5417.412, 401.103
Step-by-step explanation:
In the first part we are given the following mathematical operation:
[tex]5 \times 10^{3} + 4 \times 10^{2} + 1 \times 10^{1} + 7 \times 10^{0} + 4 \times \frac{1}{10^{1} } + 1 \times \frac{1}{10^{2} } + 2 \times \frac{1}{10^{3} }[/tex]
= 5000 + 400 + 10 + 7 + 0.4 + 0.01 + 0.002
= 5417.412 (Answer)
In the second part we are given the following mathematical operation:
[tex]4 \times 10^{2} + 1 \times 1\frac{1}{10^{1} } + 3 \times \frac{1}{10^{3} }[/tex]
= 400 + 1.1 + 0.003
= 401.103 (Answer)
find c in the pic below
Answer:
A
Step-by-step explanation:
To find the angle inside the triangle (to the right side of 90 degree angle), we first have to find the adjacent angle (below it).
Angle 122 and that adjacent angle is same (parallel lines cut by transversal -- they are corresponding angles).
So that angle is 122.
The inside triangle angle (what we want) is adjacent to 122, so we can write:
Angle + 122 = 180 [straight angle/straight line is 180 degrees]
Solving for that angle, we have:
Angle = 180 - 122 = 58
Now, looking at the triangle, Side C is "opposite" of 58° and side "20" is the side that is "hypotenuse" [side opposite of 90 degree angle is hypotenuse).
Which trig ratio relates "opposite" and "hypotenuse"??
Yes, it is SIN. Thus we can write:
[tex]Sin(58)=\frac{Opposite}{Hypotenuse}=\frac{C}{20}[/tex]
We can now solve for C:
[tex]Sin(58)=\frac{C}{20}\\C=20*Sin(58)\\C=16.96[/tex]
Correct answer is A