three guards were protecting an orchard. A third met the guards,one after the other,To each guard he gave half of the apples he has at the time and two extra . Eventually he escaped with just one apple. How many apples did the thief take? Fellow up questions for extension. What if he had 2 left? 3 left? 4 left?
Answer:
The thief stole 36 apples originally.
Step-by-step explanation:
The thief left the orchard with 1 apple.
which means:
∴ before meeting the 3rd watchman, he must have had =6 apples.
∴ before meeting the 2nd watchman, he must have had =16 apples.
∴ before meeting the 1st watchman, he must have had =36 apples.
(1+2)×2
(6+2)×2
(16+2)×2
So, the thief stole 36 apples originally.
Answer:
The thief took 36 apples.
Step-by-step explanation:
This problem can be solved from end to beginning.
The thief ends up with a single apple. This happed after he gave half of the apples he had and two extra apples.
Thus, adding two apples 1+2=3 and doubling the result, the thief had 3*2=6 apples when he met the last guard.
Before that, he gave 2 apples to the second guard, thus he had 6+2=8 apples. Doubling it 8*2=16 is the number of apples he had when met the second guard.
Doing this again, 16+2=18. 18*2=36.
The thief took 36 apples.
Gave 18+2=20 to the first guard. He had 36-20=16 now.
Gave 8+2=10 to the second guard. He had 16-10=6 now.
Gave 3+2=5 to the third guard and got away with just one apple
Auggie's vineyard consists of 240 acres upon which he wishes to plant Merlot grapes and Cabernet grapes. Profit per acre of Merlot is $400, and profit per acre of Cabernet is $300. The number of hours of labor available is 3200. Each acre of Merlot requires 20 hr of labor, and each acre of Cabernet requires 10 hr of labor. Determine how the land should be divided between Merlot and Cabernet in order to maximize profit.
Which expressions are equivalent to 4• (7 • y)?
Drag and drop the equivalent expressions into the box.
(7• y)• 4
4 • 7 + 4 • Y
(4 7 • y
28 y
4•7•4• y
PLEASE HELP ASAP!!!
50 POINTS AND BRAINLY!!
Answer:
Step-by-step explanation:
4• (7 • y) is equivalent to all of the following:
28 • y
4 · 7y or (4 · 7) · y
(7 · 4) · y
Note that 4 • 7 + 4 • Y is absolutely wrong, since the original expression has no " + " sign
HELP PLS DUE IN 10 MIN PLS
Samuel orders four DVDs from an online music store. Each DVD costs $9.91. He has a 25% discount code,
and sales tax is 6.75%. Round sales tax amounts to the nearest cent. What is the total cost of his order?
The total cost of Samuel's order is sl
Answer:
The total cost is $32.40
Step-by-step explanation:
9.91 x 4 = 39.64
25% of 39.64 is 9.91
39.64 - 9.91 = 29.73
6.75% of 39.64 is 2.67
29.73 + 2.67 = 32.40
CO
Mandy has an annual salary of $37,580. Each month she has a car payment of $265 and a student loan of $120. If
she applies for a home loan, how likely is it Mandy will be approved based on her debt-to-income ratio?
a. Very likely, recurring debt is less than what is allowed.
b. Somewhat likely, recurring debt is equal to what is allowed.
C. Not likely, recurring debt is higher than what is allowed.
d. There is not enough information given to determine the answer.
C. Not likely, recurring debt is higher than what is allowed.
edge 2021
Mandy's approval based on her debt - to - income ratio is;
C: Not likely, recurring debt is higher than what is allowed.
What is Debt to income ratio?Debt to income ratio is simply the percentage of your gross monthly income that goes to paying your monthly debt payments.
Now, her annual salary is $37,580. This means that her monthly income is; 37580/12 = $3131.67
Her monthly debt servicing = $265 + $120 =$385
Using the 28/36 ratio, the maximum allowable recurring debt for someone with a monthly income of $3,200 is $256.
Since her recurring monthly debt is $385 it is more than the maximum recurrent limit and so her home loan will not be approved.
Read more about debt - to - income ratio at; https://brainly.com/question/24814852
Ms. Jackson emptied 16 boxes of crayons into a classroom crayon bucket in each box 2/9 The crayons were green how many crayon boxes could she filled with all the green crayons?
Answer:
2 boxes
Step-by-step explanation:
do 16 times 2 you get 32 so there are 32 green crayons 32/9 9 times 3 is 36 which is over 32 so you cant fill 3 boxes 9 times 2 equals 27 so the answer would be she can fill 2 boxes
Express 236% as a mixed number in simplest form
Answer:
2[tex]\frac{9}{25}[/tex]
Step-by-step explanation:
Plz help with question
Answer:
1
Step-by-step explanation:
in an equilateral triangle all the sides are equal
9 multiplied by 21 equals what
Answer:
189
Step-by-step explanation:
Also can you make me brainliest please
HEYYYYYYYYYYYY ONCE AGAIN THIS IS ONLY 3 OF 30 PlS HELPPP
Answer:
the 3rd one im pretty sure
Step-by-step explanation:
Answer:
the 3rd one <3
Step-by-step explanation:
Multiply (3) × (−4) × (2).
Plz
Answer:
-24
hope this helped! :3
Step-by-step explanation:
3 x -4 = -12
-12 x 2 = -24
Answer:
3× -4 = -12
-12 × 2=-24
Step-by-step explanation:
follow your sign discriptively take notice in change of ur sign.
+× - = -
- × - = +
+ × + = +
- × + = -
Can you please help me with the question.
Answer:
Step-by-step explanation:
A. 40:80
B: 80/40
C; 40: 120
D: 80:120 ;)
Find f(g(3)) for the functions f(x) =3x+8 and g(x) =-x^3
We are given:
f(x) = 3x + 8
g(x) = -x³
__________________________________________________________
The Concept:
We have to find the values of f(g(3)), which means that we have to apply the function g() on 3 and apply the function f() on the value we get.
Finding f(g(3)):
Finding g(3):
g(x) = -x³
g(3) = -(3)³
g(3) = -27
Finding f(g(3)):
f(x) = 3x + 8
f(g(3)) = 3(g(3)) + 8
f(g(3)) = 3(-27) + 8
f(g(3)) = -81 + 8
f(g(3)) = -73
Hence, f(g(3)) = -73
An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, 30 taxi drivers receive a bottle of the additive to use the next time they fill their gas tank. The drivers then compare their gas mileage with the additive to their gas mileage before the additive was used.
What is the response variable in this scenario?
the age of the car
the 30 cars used in the study
the use of the additive
the gas mileage after the additive is used
Answer:
The answer is D. the gas mileage after the additive is used
Step-by-step explanation:
I got 100% on edg!
Answer:
d
Step-by-step explanation:
edge2o2o
HELPP PLEASE FAST!! a store has televisions on sale for 20% off the original price. The original price of a television is 150 before the sale what will be the sale price of the television set
Method 1: A pure algebraic approach
The unknown in this problem is the percent of decrease. A percent of decrease is the percentage of the original price that was deducted from the original price to obtain the sale price. We could write a "word equation" for this process like this:
original price - (percent of decrease)(original price) = sale price
Since the percent of decrease is the unknown in this problem, we'll call the percent of decrease x%.
Here's what we know so far:
The original price was $200
The sale price was $170
The percent of increase was x%
Putting this information in our word equation gives us an algebraic equation:
200 - (x%)(200) = 170
What do we do with the percent sign in this equation? "Percent" means "out of 100", so x% means x out of 100, or . Now we have this:
200 - (200) = 170
Now we'll solve our equation:
200 - (200) = 170
200 - 2x = 170
-2x = -30
x = 15
So the percent of decrease is 15%
Method 2: A method involving pure arithmetic.
If we know the original price and the sale price, we can find the percent of decrease in two steps:
Find the amount of decrease
Divide the amount of decrease by the original amount
This will give us the percent of decrease (written as a decimal number). We can then write the decimal as an equivalent percent to find our final answer.
Let's use method 2 on the same problem:
Frank bought a new television set on sale. If the TV's original price was $200 and Frank paid $170 for the TV, what was the percent of decrease?
First, let's find the amount of decrease:
Amount of decrease = 200 - 170 = 30
So the price decreased by $30.
Next, we'll find the percent of decrease, and rewrite the decimal answer as a percent:
Percent of decrease = = = .15 = 15%
So the percent of decrease is 15%
Before we leave the problem, let's check our answer:
Original price = $200
Price reduced by 15% of original price = 200(.15) = $30
Sale price would then be = $200 - $30 = $170
Our answer checks. We're done! Me not know if correct.
It is possible for a quadratic function to have NO x-intercepts
Answer:
yes
Step-by-step explanation:
if they do not have x intercepts, the answer will have an imaginary number (i)
Can anybody help meeeeeeeeeeee
Answer:
yeah I Wii help you to your problem
Answer:
ok ques
Step-by-step explanation:
Which number completes the ratio
table?
2
7
12
17
16
96
136
(A) 21
B) 23
C 32
D 56
Answer: 21
Step-by-step explanation:
Because u add 7 times 3 is 21
Answer:
21
Step-by-step explanation:
Help please. Thank you.
Answer:
Look at m H it’s a right triangle 90°
Step-by-step explanation:
Solve the proportion for X.
0.666/5=х/15 x3
x= 2
x=3
x= 5
x = 10
Answer:
x = 2
Step-by-step explanation:
0.666/5 = (2/3)/5 = 2/15
Therefore, x = 2.
The slope of a line is 2 the y-intercept of the line is - 6 which statement accurately describes how to grab the function
Answer:
Step-by-step explanation:
The slope of the line is 2 and the y-intercept is -6. y-intercept is the point where x is zero. Hence, the point is (0,-6) When we graph a linear function by slope-intercept method, first of all we plot the y-intercept. Hence, first of all we plot the point (0,-6) Now, slope is given by if rise is positive then we move up from the y -intercept and if negative then move down. We keep run always positive and hence we move right from the rise point. rise = 2 run = 1 Rise is positive hence, we move 2 units up from the point (0,-6) and then move 1 unit right to get the next point. Then we draw a line passing through these points. A is the correct option.
help with this question
Answer: 50%
Step-by-step explanation: 180/390 = 1/2 =0.5
0.5*100 = 50%
No questions asked
Is this true or false? 0 < -2
Answer:
this is false
Step-by-step explanation:
-2 is accually greater than 2
so, for this to be correct it would have to be:
[tex]0 > - 2[/tex]
If angle 1 and angle 5 are vertical angles and angle 1 equals 55°, then angle 5 will equal _____.
25°
125°
55°
can't be determined
Answer:
angle 5 will be 55 °
Step-by-step explanation:
What's the answer to
2(-8+5)+6
Answer:0,zero
Step-by-step explanation: 2(-8+5)+6
first we do the equation in the parentheses (PEMDAS) which equals -8+5=-3
-3 times 2=-6+6=0
Cells work ALONE and do not depend on each other to function. tRUE oR FaLSEE
Answer:
False
Step-by-step explanation:
Cells work with each others to perform specific tasks
how do you spell 20k?
twenty thousandddd
20k
Answer:
twenty thousand
Step-by-step explanation:
Because you just have to spell it out spell twenty and then thousand.
In a class of 32 students for students were home sick with the flu on Thursday what percent of the students were absent on Thursday
What is the sum of ? × ? + ? =297
Answer:
145 x 2 + 7 = 297
- I hope this helps have a great night!
Answer:
297 is the sum.
99 x 3 + 0 = 297 or 58 x 5 + 7 = 297 are the solutions to the "?"
Step-by-step explanation:
Well, the sum of a number is the answer of something when doing addition, so technically, this is already revealed.
If you meant what numbers the question marks represent, then this could be a number of answers. However, the easiest solutions would be:
99 x 3 + 0 = 297 or 58 x 5 + 7 = 297
Hope this helps! :)
Please, I give 20 score. Find the volume
Answer:
2388.16 in³
Step-by-step explanation:
1) find volume of cylinder
formula: πr²h
given:
π = 3.14
r = 8/2 = 4 in
h = 9 in
[tex]\pi \: r {}^{2} h[/tex]
[tex](3.14) \times (4 {}^{2} ) \times 9[/tex]
[tex]3.14 \times 16 \times 9[/tex]
[tex]452.16 \: {in}^{3} [/tex]
2) find volume of cuboid
formula: length × width × height
given:
length = 16 in
width = 11 in
height = 11 in
[tex]l \: \times w \: \times h[/tex]
[tex]16 \times 11 \times 11[/tex]
[tex]1936 \: in {}^{3} [/tex]
total volume of figure
= volume of cylinder + volume of cuboid
= 452.16 in³ + 1936 in³
= 2388.16 in³