The correct option regarding the operation of cancellation in a fraction is given by:
A. reducing fractions to make multiplying easier.
What is an example of cancellation in a fraction?It happens when two fractions are multiplying each other, and terms are simplified to make the multiplication easier. For example:
[tex]\frac{2}{3} \times \frac{6}{4} = \frac{6}{3} \times \frac{2}{4} = 2 \times \frac{1}{2} = 1[/tex]
The terms 2 and 4, and 3 and 6, were canceled. Hence option A is correct.
More can be learned about cancellation in a fraction at https://brainly.com/question/571030
Write the solution for x +5 ≤ 8 in set notation
In January 2011 the rate of VAT increased from 17.5% to 20%.
Work out the difference in price of a car worth £17000 + VAT
due to the increase in VAT.
Answer: Attributed to the increase in VAT, the change in cost of a car worth RS 15000+VAT is Rs 375.
Step-by-step explanation:
You bought one dozen eggs but one-third of the eggs were broken. How many eggs were broken?
(Hint: A dozen eggs is 12 eggs.)
eggs
Answer:
4 were broken
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] × 12 = [tex]\frac{12}{3}[/tex] = 4 ← number of broken eggs
help ASAp peaseeeeeeeeee
Answer:
7/6
Step-by-step explanation:
[tex] \frac{ \frac{x}{4} + \frac{x}{3} }{ \frac{x}{2} } = \frac{x( \frac{1}{4} + \frac{1}{3} )}{ x(\frac{1}{2}) } \\ = \frac{ \frac{1}{4} + \frac{1}{3} }{ \frac{1}{2} } \\ = \frac{14}{12} = \frac{7}{6} [/tex]
Answer:
7/6
Step-by-step explanation:
X = 2 because 2x3=6 and the three is from x/3 then 4+3=7 and then 7 would be the denominator and 6 would be the numerator. You should get 7/6
Mark bought two candy bars and a soda for $3.96. If each candy bar cost $1.10 how much did the soda cost?
Answer:
$1.76
Step-by-step explanation:
$1.10+$1.10 = $2.2
$3.96 - $2.2 = $1.76
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundred. radius is 5 height is 5
HELP PLEASE PYTHAGOREOM THEOREM
Pythagorean Theorem:
[tex]a^2 + b^2 = c^2[/tex]
Since 10 and 24 are the legs, "x" has to be the hypoteneuse. "a" and "b" are the legs (10 and 24).
Now, replace the values in.
[tex]10^2+24^2 = x^2[/tex]
[tex]x^2 = 100+576\\x^2 = 676\\x = 26[/tex]
Hope this helped! :)
76.280
seventy-six and twenty-eight ten-thousandths
seventy-six point two eight zero
seven and six hundred twenty-eight thousandths
seventy-six and two hundred eighty thousandths
Answer:
seventy-six and two hundred eighty thousandths.
Step-by-step explanation:
Does Function A or Function B have a greater rate of change over the Interval x=2 to x-47 Justify and explain your choice. (Do you like that they can't see the point (4,?) in the graph? If not you can change the interval to x-1 to x=3)
Answer:
Function BStep-by-step explanation:
Function Ax = 2 ⇒ y = - 4x = 4 ⇒ y = 6Rate of change
(6 - (-4))/(4 - 2) = 10/2 = 5Function Bx = 2 ⇒ y = 2² + 1 = 5x = 4 ⇒ y = 2⁴ + 1 = 17Rate of change
(17 - 5)/(4 - 2) = 12/2 = 6Since 6 > 5, the function B has greater rate of change in the given interval
Answer:
Function B
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given interval: 2 ≤ x ≤ 4
Therefore: a = 2 and b = 4
Function A
From inspection of the given table:
f(2) = -4f(4) = 6Substituting these values into the formula:
[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{6-(-4)}{2}=5[/tex]
Function B
Given function: [tex]y=2^x+1[/tex]
[tex]\implies f(2)=2^2+1=5[/tex]
[tex]\implies f(4)=2^4+1=17[/tex]
Substituting these values into the formula:
[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{17-5}{2}=6[/tex]
As 6 > 5, function B has a greater rate of change over the interval 2 ≤ x ≤ 4
Help help math math math
Answer:
the answer to your question is -27
-27
Solution:All we have to do here is subtract:-19-8Think of it as 19+8:27Now, put the minus sign next to 27:-27Hope it helps.
Do comment if you have any query.
Solve for an angle in right triangles. Round answer to the nearest hundredth
Answer:
A = 44.42°
Step-by-step explanation:
SohCohToa
Soh = sin(theta)= opp/hyp
Coh = cos(theta)= adj/hyp
Toa = tan(theta)= opp/adj
Coh = cos(theta)= adj/hyp
cos(A)= adj/hyp
cos(A)= 5/7
A = cos^-1(5/7)
A ≈ 44.4153086
A = 44.42°
The hands of a clock suggest an angle whose measure is continually changing. How many degrees does a minute hand move through during 4 -minute time interval?
In 4 -minute time interval a minute hand moves __ degrees.
Step-by-step explanation:
oh, come one ! you can literally see that one ...
a full rotation on a clock is a full circle and stands therefore for 360°.
for the minute hand these 360° represent 60 minutes.
4 minutes of 60 is a fraction, a ratio, and the same ratio applies then also to 360°.
4/60 = 1/15
360 × 1/15 = 24°
so, 4 minutes represent 24°.
Answer:
Wow no reasonable explanaition for why you don't know this answer but here it is.
360*
Step-by-step explanation:
30 points
The length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long. How long is the hypotenuse of the triangle?
Question 2 options:
12 cm
62–√ cm
63–√ cm
6 cm
Answer:
Your answer would be 12cm
Step-by-step explanation:
I just take a quiz and got it right.
You are studying economic development in a small developing country. You do not have individual income data but you do have counts of how many people fall into various intervals such as 0-500, 501-1000, etc. You want a display that shows the shape of the income distribution. You should make a
A. Scatter plot
B. Pie chart
C. Bar chart
D. Histogram
Can someone help me please?
Answer:
the only answer that makes sense would be the length
Christian traveled 45.5 miles in 3.25 hours How many feet did Christian travel (1 mile = 5,280 feet)
Answer:
280,280
Step-by-step explanation:
i believe you just multiply 45.5 times 5280
Step-by-step explanation:
[tex]1mile = 5280feet[/tex]
[tex]45.5miles = x[/tex]
[tex] \frac{45.5}{1} \times 5280[/tex]
[tex]x = 240240feet[/tex]
Why should you consider the individual's age when designing a training program?
A. Older individuals cannot participate in strength training activities.
B. Some activities may be inappropriate for particularly young or old participants.
C. None apply
D. Younger individuals do not need flexibility training.
Answer:
(B). Some activities may be inappropriate for particularly young or old participants.
Step-by-step explanation:
its the most formal answer hopfully this helps you.
Ved drew the shape below by combining exactly 3 triangles of the same size and shape
The area of each triangle is (1/3) of the area of the whole shape.
What is an area?Area is the amount of space occupied by a two dimensional shape or object.
Ved drew the shape below by combining exactly 3 triangles of the same size and shape.
Hence:
Combined area = sum of each area = 3 * area of each triangle
The area of each triangle is (1/3) of the area of the whole shape.
Find out more on area at: https://brainly.com/question/25292087
Angelo used a radar gun to take a sample of the speeds of cars on the road in front of his house. The results are below.
{57,53,53,71,73,57,61,58,78,64,54,69,56,58,49,56,53,52,82,62,61,60,71,75,60}
Use the results of Angelo's sample to draw the following graphs by hand:
A stem-and-leaf plot,
A histogram with 5 classes,
A box plot.
Be sure your graph is neat by using a straight edge for all lines.
Use a ruler for even spacing on the axes.
Don't forget to include a title and axis labels.
Scan or take a picture of your work. You will upload your graphs in the next question.
Answer:
Step-by-step explanation:
please help, super easy 7th grade math! worth a lot of points
Answer:
57mm
Step-by-step explanation:
Length of missing side= perimeter- known lengths
= 152mm- (30+20+45)mm
= (152 - 95)mm
= 57mm
In preparation for an earnings report, a large retailer wants to estimate p= the proportion of annual sales
that occur during the month of December. A SRS of sales from last year revealed that 37 of
the randomly selected sales occurred during the month December out of 161 sales.
Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The sample size and the estimate are given by:
[tex]n = 161, \pi = \frac{37}{161} = 0.2298[/tex]
Hence:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 - 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.1648[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 + 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.2948[/tex]
The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).
More can be learned about the z-distribution at https://brainly.com/question/25890103
When comparing debit cards to credit cards, which statement is TRUE?
A) Both debit cards and credit cards can improve a credit score.
B) Debit cards make it easier to fall into debt than credit cards.
C) Debit cards are more secure than credit cards for online purchases.
D) Debit cards make tracking day-to-day spending easier than credit cards.
The TRUE statement that compares debit cards to credit cards is D) Debit cards make tracking day-to-day spending easier than credit cards.
What are debit and credit cards?Debit cards are payment cards linked to the holder's bank account. Payment transactions are automatically deducted from the account.
Debit cards depend on the holder's bank balance to make payments, unlike credit cards that give access to borrowing money for purchases so that repayment may be made later.
Thus, the main difference between debit cards and credit cards is that debit cards make the holder accountable for their spending while credit cards give access to credit borrowing.
Learn more about debit and credit cards at https://brainly.com/question/4515861
what is 10/9 in a fraction
This kinds of fractions called improper fractions
The rule is
p/q is a rational number and p>qWe can turn it into mixed fraction
10/91-1/9Identify the rational function whose graph is given below. Note the x-intercept of the graph is x=4 and the y-intercept of the graph is y=−3. The graph has one vertical asymptote at x=2
Using the vertical asymptote of the function, it is found that it is given by:
[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.In this problem, the x-intercept of the graph is x=4, hence the numerator is a(x - 4).
The graph has one vertical asymptote at x=2, hence the denominator is x - 2.
Hence:
[tex]f(x) = \frac{a(x - 4)}{x - 2}[/tex]
The y-intercept of the graph is y=−3, hence:
[tex]-3 = \frac{a(0 - 4)}{0 - 2}[/tex]
[tex]-4a = 6[/tex]
[tex]a = -1.5[/tex]
Thus, the function is:
[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]
More can be learned about asymptotes at https://brainly.com/question/16948935
change the following fractions to decimal -3/8
Answer:
3/8 as a decimal is 0.375.
Find the area of this parallelogram. A) 35 cm B) 75 cm C) 105 cm D) 150 cm
Answer:
B) 75 cm
Step-by-step explanation:
A = bh
(b =base & h = height)
therefore
area = 5 × 15
= 75 cm
I think this will helpful to you
give me a brainliest
Khan Academy Volume of Sphere Answers!!!
Explanation:
The N stands for Pi so when you type in the answers to Khan Academy use the Pi symbol when theres an N! These are the common questions and common radius Khan Academy gives when they ask to find the radius of the circle.
Answers:
For 4 - 267.95
For 1/4 - 1/48n
For 1 - 4/3n
For 9 - 972n
For 7 - 1372/3n
For 6 - 288n
For 3 - 36n
For 10 - 4000/3n
For 8 - 2048/3n
For 1/2 - 1/6n
For 5 - 500/3n
For 2 - 33.49
Step-by-step explanation:
I did the go math so all of these rights and the majority of the answers are the questions Khan Academy will ask you to find the radius of the circle.
f(x)= (x+1)/(x-1)
find the derivative using the definition
[tex]\text{Given that,}\\\\f(x)= \dfrac{x+1}{x-1}\\\\\\f'(x)=\lim\limits_{h \to 0} \dfrac{f(x+h) - f(x) }{h}\\\\\\ ~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\left( \tfrac{x+h+1}{x+h-1}\right) - \tfrac{x+1}{x-1}}{h}\\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{(x+h+1)(x-1) - (x+1)(x+h-1)}{(x+h-1)(x-1)}}{h} \\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{x^2-x+hx-h+x-1 - x^2-xh+x-x-h+1}{(x+h-1)(x-1)}}{h}\\\\\\~~~~~~~~[/tex]
[tex]~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{-2h}{(x+h-1)(x-1)}}{h}\\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{-2}{(x+h-1)(x-1)}\\\\\\~~~~~~~~=\dfrac{-2}{(x+0-1)(x-1)}\\[/tex]
[tex]\\\\~~~~~~~~=\dfrac{-2}{(x-1)(x-1)}\\\\\\~~~~~~~~=\dfrac{-2}{(x-1)^2}[/tex]
ok HARDEST MATH PROBLEM 2+2
Answer:
I dont know i think its 5
Step-by-step explanation:
Answer:
4 :)
Step-by-step explanation:
can someone help me with this pls?
