Answer:
6
Step-by-step explanation:
1.5*4=6
To solve this problem, we'll set up a ratio between the equivalent values.
We know that 1 1/2 pages and 1/4 of an hour are our two values, and assuming that Azi writes at a constant speed, we're able to write this ratio:
1.5 : .25
(I'm just writing with decimals because I find them easier to work with, but decimals or fractions will give you the correct answer.)
Since .25 is 1/4 of an hour, we can multiply this value by 4 to get 1 hour.
Additionally, since this is a ratio, what you do to one side must be done to the other, so 1.5 will also be multiplied by 4.
(1.5 x 4) = (.25 x 4)
6 = 1
Therefore, Azi can type 6 pages in one hour.
Hope this helped! :)
Consider the following proposed proof, which claims to show that every nonnegative integer power of every nonzero real number is 1.
Let r be any nonzero real number, and let P(n) be the equation r ^n = 1.
Show that P(0) is true : P(0) is true because r^0 = 1 by definition of zeroth power.
Show that for every integer k >= 0, if P(i) is true for each integer i from 0 through k, then P(k + 1) is also true:
Let k be any integer with k >= 0 and suppose that r^ i = 1 for each integer i from 0 through k. This is the inductive hypothesis. We must show that r^ k + 1 = 1. Now
r^ k + 1 = r^ k + k - (k - 1) because k + k - (k - 1) = k + 1
r ^k * r^ k / r^ k - 1 by the laws of exponents
1*1 / 1 by inductive hypothesis
=1
Thus r^ k + 1 = 1 [as was to be shown].
[Since we have proved the basis step and the inductive step of the strong mathematical induction, we conclude that the given statement is true.]
Question:
a) Identify the error(s) in the above "proof."
Answer:
The statement is not true. There is an error in the following step:
[tex]\frac{r^{k} * r^{k} }{r^{(k-1)} } = \frac{1 * 1}{1}[/tex]
Step-by-step explanation:
Here is the complete proof:
[tex]r^{k + 1} = r^{k + k - (k - 1)}[/tex] (because k + k - (k - 1) = k + 1)
[tex]= \frac{r^{k} * r^{k} }{r^{(k-1)} }[/tex] (By laws of exponent)
[tex]= \frac{r^{k} * r^{k} }{r^{k} * r^{-1} } }[/tex]
[tex]= \frac{r^{k} * r^{k} * r^{1} }{r^{k}} }[/tex] (Since the power of r is a negative integer i.e. -1 it will shift to the numerator)
[tex]= r^{k} * r^{1}[/tex] (We get this equation after canceling out the similar terms in numerator and denominator in previous step)
[tex]= r^{k + 1} \neq 1[/tex] (Provided r > 1 or r < -1)
A hot dog stand sells hot dogs for $3 each, but each hot dog costs $1.50 to make. Each month, the hot dog stand pays $800 in rent and $1,200 in employee wages. If the hot dog stand sells 3,120 hot dogs in a month, how much will the hot dog stand earn in profit?
Answer:
$2680
Step-by-step explanation:
3.00-1.50= 1.50 profit per hotdog
1200+800=2000 expenses
1.50 (3120) = 4680
4680-2000=
2680 in profit
The table below shows possible cost and revenue equations for a manufacturer of cameras.
Cost
65.16 n + 1,500
I
Cost
35.79 n + 6,700
II
Revenue
98.75 n
III
Revenue
56.95 n
IV
Which of the following pairs of equations will never break even?
Answer
B. l and lV
Step-by-step explanation:
The pairs of equations will never break even is Cost 35.79 n + 6,700 and Revenue 56.95 n. The correct option is D.
What is break-even point?The break-even point is the point at which total cost and total revenue are equal, implying that your small business has no loss or gain.
To find the break-even point, we need to set the cost equation equal to the revenue equation and solve for n:
Cost = Revenue
65.16n + 1,500 = 98.75n (for equation I)
32.59n = 1,500
n = 46.05
So the break-even point for equation I is 46.05 units.
Cost = Revenue
35.79n + 6,700 = 56.95n (for equation II)
21.16n = 6,700
n = 316.3
For options (c) and (d), we need to compare the break-even points for equations III and IV with equations II and I, respectively.
Cost = Revenue
65.16n + 1,500 = 56.95n (for equation IV)
8.21n = -1,500
n = -182.7
The negative value for n means that equation IV does not have a break-even point.
Cost = Revenue
35.79n + 6,700 = 98.75n (for equation III)
62.96n = 6,700
n = 106.2
The break-even point for equation III is 106.2 units.
Therefore, the pair of equations that will never break even is (d) I and IV.
For more details regarding break even point, visit:
https://brainly.com/question/22871926
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Your question seems incomplete, the probable complete question is:
The table below shows possible cost and revenue equations for a manufacturer of cameras.
Cost
65.16 n + 1,500
I
Cost
35.79 n + 6,700
II
Revenue
98.75 n
III
Revenue
56.95 n
IV
Which of the following pairs of equations will never break even?
a. I and III
b. II and IV
c. II and III
d. I and IV
Math question please help
Answer:
square feet
Step-by-step explanation:
1/2 a feet is the full square is half
You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that you will
choose an orange candy out of the bowl?
What is the formula for slope-intercept form?
Answer:
y = mx+b
Step-by-step explanation:
The slope intercept formula for a line is
y = mx+b where m is the slope and b is the y intercept
The formula for slope-intercept form is attached below.
I have drawn this on my whiteboard.
In this equation, the m represents slope
and the b represents the y-intercept.
Some people take the early retirement option at age 62. According to the Social Security Administration, if you retire at age 62, your retirement benefits will be permanently reduced by 25%. If your monthly benefit, at full retirement age (67), would have been $1300 per month, and you retire at age 62, how much would you lose in total annual income over one year?
Answer:
$3900.
Step-by-step explanation:
If retirement is taken at the age of 67 years, income = $1300 per month.
% Loss, if retirement taken at the age of 62 years = 25% per month
Loss in dollars per month if retirement taken at the age of 62 years = 25% of Monthly income if retirement is taken at the age of 67 years
[tex]\Rightarrow \dfrac{25}{100} \times 1300\\\Rightarrow \dfrac{1300}{4}\\\Rightarrow 325 \$[/tex]
We know that there are 12 months in an year.
So, annual loss in total annual income over one year:
Loss in dollars per month [tex]\times[/tex] 12 :
325 [tex]\times[/tex] 12 = 3900$
Answer: $3,900
Step-by-step explanation:
What you usually make:
$1300 * 12 months = $15600
What you make with the cut:
$1300 * 0.75 = $975
* 12 months = $11700
15600-11700 = $3900
3 2/3+2.3 repeating
Answer:
6.
Step-by-step explanation:
2.3 repeating = 2 1/3
So 3 2/3 + 2 1/3
= 5 + 1
= 6.
Answer: 6
Step-by-step explanation:
[tex]3\frac{2}{3}+2.3^-[/tex]
Let's begin by converting the repeating decimal to a fraction and then to a mixed number.
Take the number:
[tex]2.3^-[/tex]
Let x (our result) be equal to that number.
[tex]x=2.3^-[/tex]
Multiply by 1 followed by as many zeros as repeating decimals; in this case 1. Therefore, 10.
[tex]10x=2.3^-*10[/tex]
This basically moves the decimal point one number to the right and since we have infinite 3's, we simply move 1 three and add another.
[tex]10x=23.3^-[/tex]
Subtract this and the original equation ([tex]x=2.3^-[/tex])
[tex]10x=23.3^-\\-x=2.3^-[/tex]
-----------------
10 - 1 = 9 and we have the same infinite repeating number 3, therefore they cancel out, leaving 23-2 = 21
[tex]9x=21[/tex]
Divide by 9
[tex]x=\frac{21}{9}[/tex]
Simplify by 3.
21/3=7
9/3=3
[tex]x=\frac{7}{3}[/tex]
Now, convert to a mixed number. To do this, divide.
7/3=2
6
-------
1
The 2 is the whole number, 1 is the numerator and 3 the denominator.
[tex]2\frac{1}{3}[/tex]
------------------------------------------------------------------------------------------------
Now we can solve this;
[tex]3\frac{2}{3}+2\frac{1}{3}[/tex]
Add the whole numbers and the fractions separately.
[tex](3+2)+(\frac{2}{3}+\frac{1}{3})[/tex]
[tex]5\frac{3}{3}[/tex]
3 and 3 can be simplied.
3/3=1
3/3=1
[tex]5\frac{1}{1}[/tex]
The result is 1, add this to the 5.
[tex]5+1=6[/tex]
On circle OOO below, the measure of \stackrel{\LARGE{\frown}}{FJ} FJ ⌢ F, J, start superscript, \frown, end superscript is 84^\circ84 ∘ 84, degrees. The measure of \stackrel{\LARGE{\frown}}{GH} GH ⌢ G, H, start superscript, \frown, end superscript is 76^\circ76 ∘ 76, degrees. What is the measure of \angle HKJ∠HKJangle, H, K, J?
Answer:
100°
Step-by-step explanation:
The angle between chords is the average of the intersected arc angles.
∠FKJ = ½ (84° + 76°)
∠FKJ = 80°
∠HKJ is supplementary to ∠FKJ.
∠HKJ = 180° − 80°
∠HKJ = 100°
plzz help its timed ill give brainliest
The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2.Three scores extracted from the test 148,102,152,what is the average of the extracted scores that are extreme values(outlier).
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: mark obtained in an aptitude test by a candidate.
This variable has a mean μ= 128.5 and standard deviation σ= 8.2
You have the data of three scores extracted from the pool of aptitude tests taken.
148, 102, 152
The average is calculated as X[bar]= Σx/n= (148+102+152)/3= 134
I hope this helps!
An international company has 27,8000 employees in one country. If this represents 32.7% of the company's employees, how many employees does it have in total?
Answer:
850152.29052
Step-by-step explanation:
278000 rep 32.7%
278000=32.7%, 100% is the total
100%×278000= 278000000÷32.7=850,152.29052
The points (8.1) and (8, 11) lie on a circle with a radius of 5. Find the center of the circle
Answer:
(8, 6)
Step-by-step explanation:
First, we find the distance between the two points.
Both have the same x-coordinate, 8, so the distance is simply the difference in y.
|11 - 1| = 10
The distance between the points is 10.
Since the radius of the circle is 5, the greatest distance between two points on the circle is 10, and the two points must be the endpoints of a diameter.
The midpoint of a diameter is the center of the circle.
(1 + 11)/2 = 12/2 = 6
The center o the circle is (8, 6).
Find the area of the quadrilateral SHOW WORK
Answer:
area of parallelogram= length of base × perpendicular height
8.7×4.9
= 42.63mm²
A bag contains 1 red, 1 yellow, 1 blue, 1 green marbles. What is the probability of choosing a green marble, not replacing it, and then choosing a red marble
Answer:
you have a 25% chance of picking any marbel
Step-by-step explanation:
you have 4 marbels and each is worth 25.
Answer:
Choosing green marble: 1/4
Choosing Red marble: 1/3
Step-by-step explanation:
The probability of choosing a green marble is 1/4, because out of the total marbles in the bag (4), there is only 1 green marble. YOU WILL NOT REPLACE IT in the bag, so now you have only 3 marbles left in the bag. Out of those 3 marbles only 1 is red. Thats why the probability of choosing red is 1/3
Solve for y:
9y = 81
Answer:
y=9
Step-by-step explanation:
9y=81
divide 9 on both sides
y=9
You roll a six-sided number cube (die). What is the BEST answer for the probability that the number rolled is between 1 and 6, inclusive?
A) certain
B) unlikely
C) impossible
D) very likely
Answer: It is A certain.
Step-by-step explanation:
Because all the numbers on a six-sided cube is between 1 and 6 so it is certain or 100/100 that the number will land on a number between 1 and 6.
If y = 5cos2x, what is the amplitude?
Answer:
5
Step-by-step explanation:
The amplitude is the coefficient of the cosine function: 5.
Ameeta finished 12 math problems. David finished 3 times as many. How many more math problems did David finish than Ameeta?
Answer:
24
Step-by-step explanation:
Ameeta = 12 math problems.
David =12×3=36 math problems
So 36-12=24
Answer:
12
David's
3 times longer
comparison problem
Step-by-step explanation:
got right on edge
Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. *
3 x 4/5: options
*2 3/5
*1 2/5
*2 1/5
*2 2/5
Answer:
2[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Whole numbers can be seen as the number over 1. So, 3 can also be written as [tex]\frac{3}{1}[/tex]. To do [tex]\frac{3}{1}[/tex] x [tex]\frac{4}{5}[/tex] you just multiply across (3x4 and 1x5). Doing so gets you [tex]\frac{12}{5}[/tex]. Since 12 is bigger than 5, you need to find out how many times 5 fits into 12, which is 2 times. This means 2 is the whole number, however you're still left with 2 from the fraction [tex]\frac{12}{5}[/tex], since 2x5 is just 10. You write the remaining 2 as [tex]\frac{2}{5}[/tex], because that's what the original denominator was. The final answer is 2[tex]\frac{2}{5}[/tex].
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply
Answer:
C. 65
Step-by-step explanation:
Compare to the standard form ...
ax² +bx +c
to find the values of a, b, c. They are ...
a=2, b=3, c=-7
The discriminant is ...
d = b² -4ac
d = (3)² -4(2)(-7) = 9 +56
d = 65 . . . . . . matches choice C
John and Ellen bought a big pizza. Ellen are 2/4 of the pizza and John ate 1/3 of pizza. How much did they eat all together? How much was left over? ( hint 12 is the lowest common denominator)
(I put 1/4 but it said it was wrong:/) pls help h
Answer:
Pizza eaten together: 5/6,
Pizza left over: 1/6
Step-by-step explanation:
~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~
1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra
2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.
3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = Pizza eaten together: 5/6
4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the Partition Postulate. In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).
5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = Pizza left over: 1/6
Answer:
How much did they eat all together? 5/6
How much was left over? 1/6
[tex] \\ [/tex]
Step-by-step explanation:
How much did they eat all together?
[tex] \frac{2}{4} + \frac{1}{3} \\ = \frac{6}{12} + \frac{4}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} [/tex]
[tex] \\ [/tex]
How much was left over?
[tex] 1 - \frac{5}{6} \\ = \frac{6}{6} - \frac{5}{6} \\ = \frac{1}{6} [/tex]
An mp3 player is on sale for 30% off the regular price of $39.98. How much is the discount?
Answer:
$27.98
Step-by-step explanation:
100 - 30 in price %=70%
Price will be 70% of original regular price
$39.98 * .7 = answer
Answer:
Discount is $11.99
Total is now $27.99
Step-by-step explanation:
To find the discount, you find out what 30% is of 39.98, so you multiply
39.98 x 30%(or .3) = 11.994
39.98- 11.99= 27.99
Every hour the number of users of a new smartphone app increases by 18 percent. At 1:00 p.m., there were 12,322 users. What exponential equation shows the number of users' x hours after 1:00 p.m.?
Answer:
B
Step-by-step explanation:
Y is the starting point so it would be y=12322 and it becomes 1.18 because you add 100 to 18
The exponential equation shows the number of users x hours after 1:00 p.m will be y = 12322 (1.18)ˣ. Option A is correct.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
The number of users of a new smartphone app increases by % = 18
a is the number of users at 1:00 p.m = 12,322
The exponential equation shows the number of users x hours after 1:00 p.m. is;
y=a(z)ˣ
Where,
a is the initial value
z is the percentage increment
y is the number of users after the given period
If the initial value of the percentage is 100.The value after the given time;
z = 100 + 18
z = 118
The z in the percentage form is 1.18.
The exponential equation shows the number of users x hours after 1:00 p.m will be y = 12322 (1.18)ˣ.
Hence, option A is correct.
To learn more about percentages, refer to:
https://brainly.com/question/13450942#SPJ1
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Solve.
A European swallow flies about 12 meters in 1 second.
How many kilometers could it fly in 15 minutes?
It could fly |
Answer:
It could fly 10,8 kilometers.
Step-by-step explanation:
The European swallow fly speed is 12 meters per second.
We have to calculate how many kilometers it could fly in 15 minutes.
This can be calculated using the equivalent factors for each of the units:
- 1 km is equivalent to 1,000 meters.
- 1 minute is equivalent to 60 seconds.
We know that the distance travelled by the fly is the product of the speed and the time, so we have:
[tex]D=v\cdot t\\\\\\D=12\,\dfrac{m}{s}\cdot15\, min\\\\\\D=12\,\dfrac{m}{s}\cdot(\dfrac{1\,km}{1,000\,m})\cdot15\, min\cdot (\dfrac{60\,s}{1\,min})\\\\\\D=\dfrac{12\cdot 15\cdot 60}{1,000}\,km=\dfrac{10,800}{1,000}\,km\\\\\\D=10,8 \,km[/tex]
What’s the correct answer for this?
Answer:
D.
Step-by-step explanation:
A horizontal translation will move the first triangle a little to the right and then after the vertical translation the triangle will move downwards and will fit into the other triangle thus we will know that the two triangles are congruent.
Brainliest will be given to the CORRECT answer.
Answer: Answer is C
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
6x²-7x-5=6x²-10x +3x-5 =( 6x²+3x)-(10x+5)=3x(2x+1)-5(2x+1)=
=(2x+1)(3x-5)
Pls answer the last question thank you! Number 5.
Answer:
1/2 x 4/1 x 2/1 = 4
4th should be 1/6 btw
Step-by-step explanation:
Answer:
Step-by-step explanation:
We'll say the fraction is 4 1/2 so: The length is 6 blocks the width is 2 blocks and we'll say the height is 3 blocks so the length would be 27 the width is 9 and the height is 13 1/2 now 27*9*13 1/2=3280 1/2
(you might have to draw this cube just sayin idk exactly what it wants)
Javier is 175% heavier than his brother. If Javier’s brother weighs 80 pounds, how much does Javier weigh?
Answer:
140
Step-by-step explanation:
175% of 80 = 140
A family uses two 500ml packets of
milk every day. How many litres do
they use in a month?
A. 2L
B. 20L
C. 281
D. 14L
MATHS