Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)
Answer:
V(x) = (17 - 2x)(11 - 2x)x
Step-by-step explanation:
We are told that She is making an open top box. This means the box will have only 5 faces.
Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.
Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.
Thus, measurement of width from the 11 inches paper = (11 - 2x)
Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;
(17 - 2x)
Now,recall that a side of the square is x.
Thus, the depth is x.
Now, volume of a box is given by;
V = length x width x depth
Thus, in this case;
V(x) = (17 - 2x)(11 - 2x)x
HELPP PLZ (12 points btw)
Which of the following is most likely the next step in the series?
What is 5.6 x 10 to the 5th power in standard notation ?
A. 0.000056
B. 560,000
C. 5.6 to the 5th power
D. 5,600,000
Answer:
B. 560000
Step-by-step explanation:
You move the decimal over 5 times to the right and there is your answer
What is the equation of the following graph
Answer:
y=1 is the equation! :))
Step-by-step explanation:
Jane baked the kinds of fruit bars shown in the table below.
Kind of Fruit Bar Number
Apple
51
Peach
36
Plum
84
Part A
Jane wants to make baskets of the fruit bars, and she wants to divide each kind of fruit bar equally among the baskets. What is the maximum number of baskets can she make?
Answer:
I THINK the answer is 57
Step-by-step explanation:
Add 51 + 36 + 84
Divide 171 by 57
57 is the most that can go into 171 evenly.
Javier works 2 and 2 over 5 hours on Monday and 3 hours on Tuesday. His pay rate is $10.25 per hour. How much will be paid, in dollars for working on Monday and Tuesday?
I don't really understand the "2 and 2 over 5 hours" part Javier will be paid 30.75 for Tuesday.
20b-16
Please help I will mark you
someone help me please
Answer:
1) ZYU
2) ZY
3)TX
Step-by-step explanation:
U look at one segment and see whats the opposite almost like a reflection (make sure u double check the first one)
Answer:
plane ZYU
line ZY
line TX
Step-by-step explanation:
Which of the following statements demonstrates the identity property of multiplication?
A.-5(18) = -5(20 - 2)
B. (-4)(1) = 4
C.7.-8=.8.7
D.9.(2.7) = (92) - 7
Answer:
B i think
Step-by-step explanation:
The product of 1 and any number is the number (hence why it is most likely b). But instead of it being 4, it would be -4 because multiplying a negative by a positive results in a negative.
Factor complete x^2 +2x-15
Answer:
( x - 3 ) ( x + 15 )
Step-by-step explanation:
Answer:
3 and 5 , as − 3 + 5 = 2
∴ ( x − 3 ) ( x + 5 )
Jason left his house at 9:58 A.M. He arrived at
the baseball field 16 minutes later. At what
time did Jason arrive at the baseball field?
Answer:
10:14
Step-by-step explanation:
which of the rational numbers -11/28,-5/7,9/-14,29/-42
is the greatest?
Answer: -5/7
Step-by-step explanation:
-11/28 = -0.39
-5/7 = -0.71
9/-14 = -0.64
29/-42 = -0.69
Out of these, -5/7 is the greatest rational number, even if they are all negative.
Hope this helps!
John bought a new TV. The tag in the shop said it cost £299 + VAT.
If VAT is charged at 20%, how much did he pay (to the nearest penny)?
Answer:
59.8
Step-by-step explanation:
20÷100×299
0.2×299
59.8
Carson was shopping online for bow ties to wear with his school uniform he bought a certain number of ties that each cost $12.50 and paid a flat rate of 19 for shipping and handling he has 220 in his bank account before buying the tie write the expression to represent how much money Carson spell on low tide be sure to Define your variable
Given :
Carson was shopping online for bow ties to wear with his school uniform he bought a certain number of ties that each cost $12.50 and paid a flat rate of 19 for shipping and handling.
He has $220 in his bank account before buying the tie.
To Find :
Maximum number of ties he can buy.
Solution :
Let, price of buying x ties is y.
y = 19 + (12.50)x
It is given that he has $200 in his bank account.
So, price of buying tie ≤ $200
y ≤ 200
19 + (12.50)x ≤ 200
(12.50)x ≤ 200 - 19
x ≤ 14.48
Since, number of tie cannot be in decimal.
x ≤ 14
Therefore, maximum tie he can buy is 14.
Hence, this is the required solution.
Use the Distributive Property to simplify 17(2b + 3)
Answer:
34b+51
Step-by-step explanation:
When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...
17(2b+3)
34b+51
Because you can't tell what x is, this is the most simplifying you can do.
Hopefully this helped you out...have an amazing day :3
Determine the measure of ∠Y. images attached
Answer:
The answer is option CStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y
To find the value of ∠Y we use tan
We have
[tex] \tan(∠Y) = \frac{25}{20} \\ \tan(∠Y) = \frac{5}{4} \\ ∠Y = { \tan^{ - 1} } \frac{5}{4} \\ ∠Y = 51.34019...[/tex]
We have the final answer as
51.34°Hope this helps you
Answer:
C
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanY = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XZ}{XY}[/tex] = [tex]\frac{25}{20}[/tex] , thus
∠ Y = [tex]tan^{-1}[/tex] ( [tex]\frac{25}{20}[/tex] ) ≈ 51.34° → C
You are on a road trip and need to travel 300 km. The speed limit is 80 km/hr. How
long will it take you to make the trip?
Answer:
3 3/4 or 3.75 hours.
Step-by-step explanation:
If you need to travel 300 km, assuming you are going at the speed limit, you take the total amount and divide it by that.
300 / 80 = 3.75 hours
You earn $9.20 per hour at your summer job. Identify an inequality that represents the number p of hours you need to work in order to buy a smart phone that costs $299. Item 6 Question 1 You earn $9.20 per hour at your summer job. Identify an inequality that represents the number p of hours you need to work in order to buy a smart phone that costs $299.
Answer:
32 hours 30 minStep-by-step explanation:
Given that your hourly pay is $9.20
say that you work for p hours, then your pay will be 9.20p
we know that p is the number of hours worked.
therefore, to earn $299 you will need to work
299=9.20p-------1
Solving for p we have to divide both sides by 9.20
299/9.20=p
p=32.5
So you have to work 32 hours 30 min to earn $ 299
The work is doing 32 hours and 30 minutes to earn $ 299.
Given that:
Your hourly pay is equal to $9.20
Assume that you work for p hours, then your pay will be 9.20p
Also know that p is the number of hours worked.
Therefore, to earn $299 you will need to work
299=9.20p (1)
Solving for p we have to divide both sides by 9.20
299/9.20=p
p=32.5
So, to work 32 hours 30 min to earn $ 299.
Learn more about Divided here:
brainly.com/question/15381501
#SPJ6
A local band is being paid $250 for performing, they receive $2 for each ticket sold.
The chart shows the bands total pay for the first 5 tickets sold.
Tickets sold: Bands pay
1 $250+$2(1)
2 $250+$2(2)
3 $250+$2(3). 4 $250+$2(4)
5 $250+$2(5)
Write an expression for the bands total pay for x number of tickets sold.
Answer:
$250+$2(x) = Total amount paid
Step-by-step explanation:
$250 is the initial amount. They earn $2 per person. The $250 is a flat amount that doesn't change. $2 is paid per person, so you multiply $2 by the amount of tickets sold.
$250 + $2(x) = Total amount paid
What is the value of x?
G
Yo
530
45°
F
H
Answer:
Don t get the question
Step-by-step explanation:
Area of dog crate
6 meters and 4 meters
Answer:
24 meters
Step-by-step explanation:
L × W = A6 × 4 = 24 metersI hope this helps!
Answer:
24 meters
Step-by-step explanation:
you do 6 times 4
What is the distance between 9 and 11?
Answer:
2
Step-by-step explanation:
11-9 is 2
The sum of three consecutive odd numbers is 69. What is the biggest number?
Answer:
25 is the answer
Step-by-step explanation:
21 23 25
Help me solve this problem please please
Answer: D. x > -1
Step-by-step explanation:
Incorrect
00:00
The map shows the beach area on a coordinate plane.
Find the distance from the car to the cabana and then from the cabana to the beach.
Car
3-
Cabana
Beac
-5
-3
101
2
3.
5.

Answer:
I really need help on this one but I got 9 could you tell me if it’s right?
Step-by-step explanation:
HELP PLEASE HELP I’m doing geometry please help
Answer:
(4x - 10) + x = 90 degrees
x = 20
change 84cm into mm
Answer:
840mm
Step-by-step explanation:
There are 10mm in 1cm, so all you have to do is multiply 84 by 10, which is 840. 84cm=840mm
Have a great day...I hope this helped you :3
Doug is a zookeeper in charge of monitoring the "aquatic" section at the North End Zoo. A baby dolphin was born on Wednesday and weighed 31 pounds. The dolphin is growing at an average rate of 2.3lbs per day. Write a function that can be used to find the weight, w(x), of the dolphin after x, days.
Answer:
w(x)=2.3x+31
Step-by-step explanation:
From the information given, the function would indicate that the weight of the dolphin after x days would be equal to the 31 pounds the baby weighed when it was born plus 2.3 lbs that is the average rate it is growing for the number of days:
w(x)= 2.3x+31, where:
w(x)= weight of the dolphin
x=number of days
Lucia wishes to advertise her business, so she gives packs of 6 red flyers to each restaurant owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Lucia realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color? Flyers
Answer:
12
Step-by-step explanation:
No. of red flyers = 6
No. of blue flyers = 4
We need to find the minimum number of flyers of each color if she gave out the same number of red and blue flyers. For this we must find the LCM of 6 and 4.
Prime factorization of 6 = 2×3
Prime factorization of 4 = 2×2
Lowest common multiple of 6 and 4 = 12
Hence, there are 12 minimum number of flyers of each color
On their last history test, Eric scored five more than twice the points that his friend Josh did. If they scored 134 points altogether, find Eric’s score
plz i need help ASAP
Answer: Eric got a 91
Step-by-step explanation:
Make two equations:
We know Eric scored 5 points more than 2 times Josh’s score. E=Eric J=josh
Equation: E = 5 + 2(J)
E + J = 134
Solve for E:
J= 134 - E
Plug it into first equation: E= 5+ 2(134-E)
E= 5+(268-2E) add 2E from each side
E+ 2E = 268 + 5 reduce
3E = 273 divide by 3 to find Eric score
E= 91
You can plug it back in to find what josh received 134-91 = 43
To fact check if you multiple josh score of 43 by 2 you receive 86 which is indeed 5 points lower that 91 so it’s correct.