Answer:
6 monkeys
Step-by-step explanation:
8 monkeys eat 8 bananas in 8 mins---how many monkeys eat 6 bananas in 6 mins?
that means each monkey takes 1 min for one bananer so i think 6 monkeys
24 Doughnut will be eaten by 8 students in 9 minutes. 8 monkeys will eat 6 bananas in 6 mins.
Given,
Two students can eat 4 doughnuts in 6 minutes.
On taking time constant (say 6 min), 2 student eat 4 doughnuts,
So 1 student eat 2 doughnuts each in 6 minutes.
So, in 1 minute doughnut eaten by 1 student will be [tex]\frac{2}{6}[/tex].
So, in 9 minute doughnut eaten by 1 student will be [tex](\frac{2}{6} \times 9=3)[/tex]
Finally, in 9 minute doughnut eaten by 8 student will be [tex](3\times 8=24)[/tex].
Hence 24 Doughnut will be eaten by 8 students in 9 minutes.
Similarly,
Since 8 monkeys eat 8 bananas in 8 mins.
On taking time constant, 8 monkeys eat 8 bananas.
So, 1 monkey eat 1 banana in 8 min.
So, in 1 min 1 monkey will eat [tex](\frac{1}{8} )[/tex] banana.
So, 1 banana will be eaten by 8 monkeys in 1 min.
So, 6 banana will be eaten by [tex](8\times 6=48)[/tex] monkeys in 1 min.
Finally, the number of monkeys required to eat 6 bananas in 6 min will be,
[tex]\dfrac{48}{6} =8[/tex].
Therefore 8 monkeys will eat 6 bananas in 6 mins.
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List these fractions from least to greatest: 1/8, 3/16, 3/4
On her 30th birthday, Ann Marie opened a new compound interest account with $25,000
to save for her retirement.
The account pays 5% interest annually.
No further deposit is made to the account and no withdrawals are made.
If Ann Marie retires on her 60th birthday and close the account at that time, how much interest would she have earned on her initial $25,000? (Round your answer to the nearest cent).
Answer:
On her 60th birthday, she would have earned $83048.5.
Step-by-step explanation:
The formula to calculate the compound interest is:
[tex]A=P(1+\frac{r}{100} )^{n}[/tex] --- (1)
where A is Principal and interest, r is the rate of interest and n is the number of years compounded.
For our problem,
P = 25000,
r = 0.05 and
n = 60 - 30 = 30
Substitute these values in (1), we get,
[tex]A=25000(1+0.05)^{30}[/tex]
[tex]=25000(1.05)^{30}[/tex]
= 25000(4.32194)
= 108048.5
Compound Interest = Amount - Principal
= 108048.5 - 25000
= 83048.50
Hence, on her 60th birthday, she would have earned $83048.5.
Answer:
The interest in 30 years be 8305000 cent.
Step-by-step explanation:
Formula
[tex]Amount = P(1+r)^{t}[/tex]
Where P is the principle , r is the rate of interest in the decimal form and t is the time.
As given
On her 30th birthday, Ann Marie opened a new compound interest account with $25,000.
The account pays 5% interest annually.
If Ann Marie retires on her 60th birthday and close the account at that time .
P = $25000
5% is written in the decimal form.
[tex]= \frac{5}{100}[/tex]
= 0.05
r = 0.05
As Ann Marie open account on his 30 th birthday and close it at its 60 th birthday .
Thus
t = 60 - 30
t = 30 years
Put all the value in the formula
[tex]Amount = 25000(1+0.05)^{30}[/tex]
[tex]Amount = 25000(1.05)^{30}[/tex]
[tex]Amount = 25000\times 4.322 (Approx)[/tex]
[tex]Amount = \$ 108050[/tex]
As
Amount = Principle + Interest
Putting the value
$108050 = $25000+ Interest
$108050 - $25000 = Interest
Interest = $83050
As 1 dollar = 100 cent
Convert $83050 convert into cent .
$83050 = 83050 × 100
= 8305000 cent.
Therefore the interest in 30 years be 8305000 cent.
Candice recorded outdoor temperature of -5°C -1°c,and -2°C which following correctly compares the three temperature
-5°C < -2°C < -1°C
Look at the picture.
(6,2),(9,r),m=-1 find the value of r
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (6, 2) and (9, r), the slope m = -1. Substitute:
[tex]-1=\dfrac{r-2}{9-6}\\\\-1=\dfrac{r-2}{3}\qquad\text{multiply both sides by 3}\\\\-3=r-2\qquad\text{add 2 to both sides}\\\\\boxed{r=-1}[/tex]
After working 60 hours at his job, Tyler earned a total of $1500. How much does Tyler earn per hour?
[ Answer ]
$25 An Hour
[ Explanation ]
We already know the total amount he has right now. We also know how long he has worked at his job. To solve, we can use division.
Divide 1500 by 60
1500 / 60
= 25
<> Arsenal <>
Answer:
1500 ÷ 60 = 25
Step-by-step explanation:
He worked for 60 hours and got $1500, 1500 divided by 60 equals 25 dollars each hour.
please also should work
Answer:
B 2 < x < 6
Step-by-step explanation:
six times an integer is between 12 and 36. Between does not include so we use < not ≤
12 < 6x < 36
Divide all sides by 6
12/6 < 6x/6 < 36/6
2 < x < 6
f one plane is flying at 40 mph while another is flying at 100 mph, and they are 200 miles apart and flying directly towards each other, how long will it take them to meet?
Answer:
t = 1 3/7 hours
Step-by-step explanation:
For plane 1
distance = rate *t
d1 = 40 *t
For plane 2
distance = rate * time
d2 = 100 * t
We know that d1+d2 = 200 (the planes will meet)
We know that the times will be the same because the leave at the same time.
Substitute in d1 =40t and d2 = 100t into d1+d2 = 200
d1+d2 = 200
40t + 100t = 200
Combine like terms
140t = 200
Divide each side by 140
140t/140 = 200/140
t= 200/140
t= 20/14
t = 10/7
t = 1 3/7 hours
Answer:
1 3/7 hours is the answer :)
Step-by-step explanation:
The lengths of two sides Of a triangle Our three and seven. What is one possible length of the third side
The length of the third side can be any value in the interval:
4 < x <10
What are the possible lenghts of the third side?For any triangle whose side lengths are A, B, and C, the triangular inequality says that the sum of the lengths of any two sides must be larger than the length of the other side, then:
A + B > C
A + C > B
C + B > A
Here we know that the side lengths are 3, 7 and x.
Then we can write:
3 + 7 > x
x + 3 > 7
x + 7 > 3
Solving these, we can write:
10 > x
x > 7 - 3 = 4
x > 3 - 7 = -4
Then the range of possible values of the third sides are:
4 < x <10
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which of these nunbers is composite? 3,5,19,71,85
Answer:
i think the answer is 85
hope this helps
Step-by-step explanation:
Answer:
85 is a composite number
Step-by-step explanation:
3 = 1 × 3
5 = 1 × 5
19 = 1 × 19
71 = 1 × 19
85 = 1 × 85 = 5 × 17
which expression ae equivalent to this expresion 4x + 4
Answer:
4 (x + 1)
Hope That Helps!
Mrs. fam bought 4 1/4 pounds of ham for $17. At rate,What is the cost of 1 pound of sliced ham?
six less than the product of 13 and a number use the variable n to represent the unknown number
Answer:
13n - 6 is your correct answer
The written statement 'six less than the product of 13 and a number' is translated into the algebraic expression 13n - 6, where 'n' represents the unknown number.
The student is asking to translate a written statement into a mathematical expression using a variable. The statement is 'six less than the product of 13 and a number' and we are using the variable n to represent the unknown number. To form this expression, first consider the 'product of 13 and a number', which is written as 13n. Then, to represent 'six less than' this product, you would subtract 6 from it, resulting in the expression 13n - 6.
Jane run 25 miles in 25 hours how many miles per hour
The number of fruit tarts that a baker makes each day is 40% of the total number of desserts she makes. On Monday, the baker makes 90 desserts total. What is the number of fruit tarts the baker makes on Monday?
Question 1 options:
36
50
54
225
Answer:
36 fruit tarts
Step-by-step explanation:
90 x .40 = 36 fruit tarts
Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job alone in 1 hour less time than Homer. They worked together for 6 hours until Homer had to go home. Mike finished the job working by himself in an additional 6 hours. How long would it have taken Homer to fix the deck himself?
It would have taken Homer 8 hours and 24 minutes to fix the deck himself.
Given that Homer and Mike were replacing the boards on Mike's old deck, and Mike can do the job alone in 1 hour less time than Homer, and they worked together for 6 hours until Homer had to go home, and Mike finished the job working by himself in an additional 6 hours, to determine how long would it have taken Homer to fix the deck himself, the following calculation has to be done:
X + X - 1 = 62X - 1 = 62X = 7X = 3.52.5 = 63.5 = X3.5 x 6 / 2.5 = X21 / 2.5 = X8.4 = X1 = 600.4 = X0.4 x 60 = 24Therefore, it would have taken Homer 8 hours and 24 minutes to fix the deck himself.
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help thx so much for ur help
Answer:
$352.33
Step-by-step explanation:
100% Rep. $334.60
105% Rep. 334.60/100 * 105%
=$351.33
HELP FAST all point (50) + brainiest
Penni Saver plans to invest $10,000, part of it in utility bonds paying 9% per year and the rest in a savings account paying 6% per year. How much should be allocated to each investment if the yearly income from the two investments is to be the same?
$4,000 in utility bonds and $6,000 in a savings account
$3,000 in utility bonds and $7,000 in a savings account
$3,500 in utility bonds and $6,500 in a savings account
$2,500 in utility bonds and $7,500 in a savings account
$4,500 in utility bonds and $5,500 in a savings account
Answer:
The correct option is 1.
Step-by-step explanation:
Let the amount invested in utility bound be x. So, the amount invested in saving account is (10000-x).
It is given that the yearly income from the two investments is same.
[tex]\text{9\% of x}=\text{6\% of (10000-x)}[/tex]
[tex]\frac{9}{100}\times x=\frac{6}{100}\times (10000-x)[/tex]
[tex]\frac{9x}{100}=600-\frac{6x}{100}[/tex]
[tex]\frac{9x}{100}+\frac{6x}{100}=600[/tex]
[tex]\frac{15x}{100}=600[/tex]
[tex]15x=60000[/tex]
[tex]x=4000[/tex]
The amount invested in utility bound is $4000.
[tex]10000-x=10000-4000=6000[/tex]
The amount invested in saving account is $6000.
Stephen uses \dfrac{2}{25} 25 2 kilograms of tofu in each serving of his famous tofu dish. He has 1\dfrac{1}{10}1 10 1 kilograms of tofu. How many servings can Stephen make?
Answer:
13 3/4 servings
Step-by-step explanation:
Stephen has 1 1/10 kg of tofu.
He uses 2/25 kg in each serving.
We will divide to figure out how many servings he can make
1 1/10 ÷ 2/25
We need to change the mixed number 1 1/10 to an improper fraction
1 1/10 = (10*1 + 1) /10 = 11/10
11/10 ÷2/25
Copy dot flip
11/10 * 25/2
275/20
Divide the top and bottom by 5
55/4
We will change this back into an improper fraction
4 goes into 55 13 times with 3 left over
13 3/4
He can make 13 3/4 servings
PLEASE HELP
Which value represents the slope of a line perpendicular to the equation?
[tex]\text{Let}\ k:y=m_1x+b_!\ \text{and}\ y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have}\ y=\dfrac{9}{11}-\dfrac{5}{4}x\to m_1=-\dfrac{5}{4}.\\\\m_2=-\dfrac{1}{-\frac{5}{4}}=-\left(\dfrac{4}{5}\right)=\dfrac{4}{5}\\\\Answer:\ \boxed{D.\ \dfrac{4}{5}}[/tex]
a soccer team practiced 3 times a week. each practice lasts for 110 minutes. the team practices for 14 weeks during the season. how many minutes did he team practice during the season? how many hours did the team practice during the season? ( Hint: remember that there are 60 minutes in one hour)
Answer:
3 weeks x 110 minutes = 330 minutes
330 minutes a week x 14 weeks = 4620 minutes
4620 divided by 60 minutes = 77 hours
77 hours is your answer
Step-by-step explanation:
Team practices for 4620 minutes or 770 hours during the season.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Soccer team participates 3 times a week,
One practice lasts for 110 minutes,
And The team practice for total 14 weeks.
Total time practice in one week = 3 x 110 = 330 minutes
Since, total week are 14,
So total duration for practice = 14 x 330 = 4620 minutes
Total time duration in hours = 4620 / 60 hours = 770 hours.
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If you have two dependents what number of allowances should you claim on your W-4?
A 3
B 0
C 2
D 1
Someone help me graph this!
Answer:
In the attachment!!
Hope this helps!!
a jar of natural peanut butter normally costs $4.00.Today it's on sale for 3.60. What is the percentage of this discount?
Answer:
10% discount
Step-by-step explanation:
Ben used vector DE to translate triangle ABC. Ben made an error in his work. What is Ben’s error? If Ben had completed the translation properly, what would be the correct coordinates for each vertex (A’, B’, and C’) for the image?
Answer:
He translated them the wrong way.
It should of gone up 2 and right 2 not down 2 and left 2.
The correct coordinates would be (A' = 3,0) (B' = 3, -3) (C' = 2, -2)
Please mark brainliest would rly help.
Step-by-step explanation:
Two movie tickets and 3 snacks are $24. Three movie tickets and 4 snacks are $35 how much is a movie ticket and how much is a
Answer:
A movie ticket costs $9.
A snack costs $2.
Step-by-step explanation:
So the word problem is asking us to find the cost of a movie ticket and a snack, therefore we will label the cost of a movie ticket as "m" and the cost of a snack as "s".
In the word problem we are given two equations:
2m (movie ticket cost) + 3s (snack cost) = $24
&
3m (movie ticket cost) + 4s (snack cost) = $35
To figure out the cost of a snack we need to get the variables in both equations to be "opposites", so we use substitution.
We multiply everything in the first equation by 3 which gives us:
6m + 9s = $72
And in order to make the other equation the opposite we multiply everything in the second equation by -2 giving us:
-6m + -8s = $-70
Now we add both equations since the variables for m are opposites.
6m + 9s = $72
+ -6m + -8s = $-70
s = $2
Now we put s back into one of our original equations and to do that I am going to use 2m + 3s = $24
2m + 3s (2) = $24 ----> 2m + 6 = $24
Now, in order to get the value of m, we need to get rid of the 6 by subtracting 6 from both sides of the equation.
2m= $18
Now we divide by 2 on both sides to get m by its self.
m= $9
And to check to make sure we are right:
2m (9) + 3s (2) = $24
$18 + $6 = $24 (true)
A movie ticket costs 9$ and a snack costs 2$.
A movie ticket costs $6 and a snack costs $4.
To solve this problem, we can set up a system of linear equations based on the information given. Let's denote the cost of a movie ticket as t and the cost of a snack as s.
From the question, we have two equations:
1. For two movie tickets and three snacks, the total cost is $24:
[tex]\[ 2t + 3s = 24 \][/tex]
2. For three movie tickets and four snacks, the total cost is $35:
[tex]\[ 3t + 4s = 35 \][/tex]
Now, let's solve this system of equations. We can start by isolating one of the variables in one of the equations. For example, we can solve the first equation for s:
[tex]\[ 2t + 3s = 24 \][/tex]
[tex]\[ 3s = 24 - 2t \][/tex]
[tex]\[ s = \frac{24 - 2t}{3} \][/tex]
Now we can substitute this expression for s into the second equation:
[tex]\[ 3t + 4\left(\frac{24 - 2t}{3}\right) = 35 \][/tex]
Multiplying through by 3 to clear the fraction, we get:
[tex]\[ 9t + 4(24 - 2t) = 105 \][/tex]
[tex]\[ 9t + 96 - 8t = 105 \][/tex]
[tex]\[ t = 105 - 96 \][/tex]
[tex]\[ t = 9 \][/tex]
Now that we have the cost of a movie ticket, we can substitute [tex]\( t = 9 \)[/tex] back into our expression for s:
[tex]\[ s = \frac{24 - 2(9)}{3} \][/tex]
[tex]\[ s = \frac{24 - 18}{3} \][/tex]
[tex]\[ s = \frac{6}{3} \][/tex]
[tex]\[ s = 2 \][/tex]
Therefore, a movie ticket costs $6 and a snack costs $4.
The complete question is
A group of friends bought 2 movie tickets and 3 snacks for a total of $24. Another group bought 3 movie tickets and 4 snacks for a total of $35. What is the cost of a movie ticket and the cost of a snack?
In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.
Harry is _ years old, and Jim is _ years old.
Please Help!
Answer:
Harry is 2 years old and Jim is 6 years old.
Step-by-step explanation:
set up the equations. let harry be h and jim be j.
h+4=j
j+2=2(h+2)
plug in the j from the first equation.
you should get h=2 (harry is two years old)
if h+4=j, 2+4=j. so j=6 (jim is six years old)
Answer:
Harry is 2 years old and Jim is 6 years old.
Step-by-step explanation:
Let x years be Harry's age now and y years be Jim's age now.
1. In 4 years, Harry’s age will be x+4 years. If in 4 years, Harry’s age will be the same as Jim’s age is now, then
[tex]x+4=y.[/tex]
2. In 2 years, Jim's age will be y+2 years and Harry's age will be x+2 years. If in 2 years, Jim will be twice as old as Harry will be, then
[tex]y+2=2(x+2).[/tex]
Solve the system of two equations:
[tex]\begin{array}{l}x+4=y\\y+2=2(x+2).\end{array}[/tex]
Substitute y=x+4 into the second equation:
[tex]x+4+2=2(x+2),\\ \\x+6=2x+4,\\ \\6-4=2x-x,\\ \\x=2[/tex]
and [tex]y=2+4=6.[/tex]
Please help with number 4. I dont understand and show work pls
Answer:
y = [tex]\frac{-2}{3} + 10[/tex]
Step-by-step explanation:
A line perpendicular to 2x = 1 - 3y has the same gradient (or slope). To find this we must isolate the y:
Move the -3y over to the other side making it a +3y:
3y + 2x = 1
Move the +2x over to the other side making it a -2x:
3y = -2x + 1
Divide everything by 3:
y = [tex]\frac{-2}{3}x + \frac{1}{3}[/tex]
So the gradient is [tex]\frac{-2}{3}[/tex]
Now as the points are given, (9 , 4)
The equation of the line so far is:
y = mx + c
4 = [tex]\frac{-2}{3}[/tex](9) + c
4 = -6 + c
Move the -6 over making it a +6:
4 + 6 = c
c = 10
So that means the full equation is:
y = [tex]\frac{-2}{3} + 10[/tex]
Which of the following is an arithmetic sequence? -2, 4, -6, 8,...; -8, -6, -4, -2,...; 2, 4, 8, 16, ...
Answer: -8, -6, -4, -2
Step-by-step explanation:
This would be the ideal choice because an arithmetic sequence is something that progresses, and in this case, the correct answer choice increases by 2 each time.
Answer:
-8,-6,-4,-2 .... is Arithmetic series.
Step-by-step explanation:
Since common difference is 2 in the -8,-6,-4,-2....
or we can get next term on adding 2 in each term
so it is arithmetic series.
HELP! Find the upper limit for the zeroes 2x^4-7x^3+4x^2+7x-6= 0
A. -1
B. 4
C. 5
Please explain!
Answer:
x = 2 or x = 1 or x = -1 or x = 3/2 thus from the answers given only A: applies
Step-by-step explanation:
Solve for x over the real numbers:
2 x^4 - 7 x^3 + 4 x^2 + 7 x - 6 = 0
The left hand side factors into a product with four terms:
(x - 2) (x - 1) (x + 1) (2 x - 3) = 0
Split into four equations:
x - 2 = 0 or x - 1 = 0 or x + 1 = 0 or 2 x - 3 = 0
Add 2 to both sides:
x = 2 or x - 1 = 0 or x + 1 = 0 or 2 x - 3 = 0
Add 1 to both sides:
x = 2 or x = 1 or x + 1 = 0 or 2 x - 3 = 0
Subtract 1 from both sides:
x = 2 or x = 1 or x = -1 or 2 x - 3 = 0
Add 3 to both sides:
x = 2 or x = 1 or x = -1 or 2 x = 3
Divide both sides by 2:
Answer: x = 2 or x = 1 or x = -1 or x = 3/2
ik the answer but i need work to be shown help please
3x+4/5
-24+4/5=-20/5=-4
-4-4=-8.
-8+2(-8)=-8-16=-24 or B.