question 3 please :) (exact values)
Answer:
(a) h = 160 - 5·x
(b) V = 4·x² × h = 4·x² × (160 - 5·x) = 640·x² - 20·x³ = 20·x²·(32 - x)
∴ V = 20·x²·(32 - x)
Step-by-step explanation:
(a) The given dimensions of the cuboid (rectangular prism) are;
'4·x' meters by 'x' meters by 'h' meters
Let the 4·x meters represent the length, 'l', of the cuboid, let the x meters represent the width, 'w', of the cuboid, and let the h meters represent the height 'h' of the cuboid
Therefore, we are given that the cuboid is a wire cage, with the total length of the sides (edges) of the cuboid equal to 640 meters
Therefore, the sum of the edges are;
Top(4·x + x + 4·x + x) + Side(h + h + h + h) + Bottom(4·x + x + 4·x + x) = 640
20·x + 4·h = 640
∴ h = (640 - 20·x)/4 = 160 - 5·x
h = 160 - 5·x
(b) The volume of a cuboid, V, is given as follows;
V = The area of the base of the cuboid × The height of the cuboid
The area of the base of the cuboid = l × w = 4·x × x = 4·x²
The height of the cuboid = h = 160 - 5·x
∴ V = 4·x² × (160 - 5·x) = 640·x² - 20·x³
V = 640·x² - 20·x³ = 20·x²·(32 - x)
∴ V = 20·x²·(32 - x) QED.
Sam rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 97 cents for each mile driven. Sam had to pay $187.68
when he returned the truck. For how many miles did he drive the truck?
Answer:
177
Step-by-step explanation:
First you must subtract the base fee from the total amount of the bill:[tex]187.68 - 15.99= 171.69[/tex]
Then divide the remaining amount of the bill by the charge of .97 cents per mile:[tex]171.69/.97=177[/tex]
Hope this helps!
Which ordered pair is represented by the plotted point?
(−7, −4)
(−7, 4)
(−4, −7)
(4, −7)
A point graphed on a Coordinate plane with x axis ranging from negative 10 to 10 and y axis ranging from negative 10 to 10. The point is 7 units to the left of the origin and 4 units above the x axis. plz help it points
Answer: (-7,-4) is right
Step-by-step explanation:
Just cause
Please help me with this homework
Answer:
plus 4 each month
Step-by-step explanation:
There was 603 students in a school total. They are 4 buses. How many students will there be left? Show your work, and put a remainder, if they is one.
Any spam will be reported.
Answer:
you should divide the amount of student by how many seats there are
Step-by-step explanation:
but considering how there isn't that variable I would say divide 603 by 4 and get 150 but I am not sure
POSSIBLE ANSWER IS 150 BUT DOUBLE CHECK
hope this he
Your hotel sells four types of rooms: double queen beds for $120/night; king bed for $140/night; junior suite for $210 and luxury suite for $320. Your accountant advises a 3% increase on all rooms. What will the new average room rate be? Assume an equal number of rooms for each room type
a) $120
b) $197
c) $203
d) $220
Answer:
its b lol
Step-by-step explanation:
Answer is 203.
Average:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
Given,
For double queen beds increment is $120 x 3% => $120 x (3/100) => 3.6.
The total rate for double queen beds = $120 + $3.6 = $123.6
For king beds increment is $140 x 3% => $140 x (3/100) => 4.2
The total rate for double queen beds = $140 + $4.2 = $144.2
For junior suite increment is $210 x 3% => $210 x (3/100) => 6.3
The total rate for junior suite = $210 + 6.3 = $216.3
For luxury suite increment is $320 x (3/100) => 9.6
The total rate for luxury suite = $320 + 9.6 = $329.6
The average rate = ($123.6 + $144.2 + $216.3 + $329.6) / 4
=> $203.425 i.e., $203
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find the length of side a.
Hurry please no trolling.
Answer:
I believe it is 5 I'm not sure if it is right
Answer:
A. 5
Step-by-step explanation:
use pythagorean theorem: a^2 + b^2 = c^2
but since we are finding the value of A; we'll use a= (square root) c^2 - b^2
A= 13^2- 12^2
A= 169 - 144
A= 25
A= 5 ( because we square root 25)
Plz help me with this question!!!
Answer:
C
Step-by-step explanation:
find the slope of (-3,4) & (7,12)
Answer:
slope: 4/5
Step-by-step explanation:
A retail outlet offers a retention bonus for each shopping season an employee remains with the company. Samuel's starting pay is $12.50/hr. For each season Samuel remains with the company, he receives a $0.35/hr raise. Find f(n), Samuel's hourly rate after n seasons with the company. Then determine his hourly rate after 18 seasons. f(n)= After 18 seasons with the company, what will Samuel's hourly rate will be $ /hr. (Round to the nearest cent.)
Answer:
Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n. After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.
Step-by-step explanation:
You know that Samuel's starting pay is $12.50/hr and for each season Samuel remains with the company, he receives a $0.35/hr raise.
Samuel's hourly rate after n seasons at the company will then be:
f(n)= 12.50 + 0.35*n
To determine the hourly rate after 18 seasons, you must replace the value n with 18:
f(18)= 12.50 + 0.35*18
Solving you get:
f(18)= 12.50 + 6.3
f(18)= 18.8
Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n. After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.
11.8 x 1/100=
answer with the product. Correct answer will be awarded branliest
Answer:
0.118
Step-by-step explanation:
11.8 = 118/10
= 118/10 × 1/100
= 118× 1/10×100
= 118/1,000
= 0.118
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!!
A.) 18 inches
B.) 9 inches
C.) 6 inches
D.) 12 inches
Answer:
12 INCHES
Step-by-step explanation:
lol
also might have to do with the ratio tho......but i forgot
Answer:
I think the answer is "D" 12 inches
Step-by-step explanation:
I think this because on the right it says 12 inches and the left and the right look like the same length. Hope this helped and if it's wrong I'm so sorry.
10) 9 people can paint a bridge in 5 hours,
How long would it take 2 people to paint the bridge?
Question 1.
Step-by-step explanation:
The number of people to paint the bridge is inversely proportional to the number of hours it takes.
(If there are more people, it will take less time etc.)
9 people can paint the bridge in 5 hours.
=> 2 people can paint the bridge in 5 * (9/2) = 22.5 hours.
A garrison of 120 people had enough food for 30 days. If 20 people leave the garrison after 10 days, how long do the remaining provisions last?
Answer:
We know that no. of days is inversely propotional to the provision for men.
So for 120 men the provision would last for 30days. (given)
Therefore, the provision for 1 men would sustain for. 120 *30 = 3600 days.
Let after the joining of 5 men (after 5 days) the no of more days the provision would last is x days
A.t.q 120*30 = 120*5+125*x
(120*30) - (120*5)= 125x
120(30-5)=125x
120 * 25 = 125x
120 = 5x
x=120/5
x= 24
so the provision would remain for more 24 days.
20 points!
I need help with these!
1. 113.64
(work) 947x.12
2. 130.5
(work) 435x.30 = 130.5
Can someone please help me
9514 1404 393
Answer:
P = 50,000
r = 0.08
i = 0.02
K = 4
n = 20
t = 5
Step-by-step explanation:
In this formula, r is the annual interest rate, 8% or 0.08. K is the number of times the interest is compounded in a year. Since interest is compounded quarterly, K = 4.
r = 0.08
i = r/K = 0.08/4
i = 0.02
t is the number of years interest is compounded, so ...
t = 5
n = Kt = 4·5
n = 20
P is the principal amount invested:
P = 50,000
1. Charlene makes $10 per hour babysitting and $5 per hour gardening. This week, she wants to make at least $80.
Let b represent the hours she babysits and a represent the hours she gardens.
Create an inequality to represent the number of hours she should babysit or garden to make at least
$80.
b.How much would she have to garden if she did not babysit at all?
Answer:
She has to do gardening 16 times
Answer:
$10b + $5g > $80
b. 40 hours
Step-by-step explanation:
$5g=80; g = 40
DeShawn and Jenny each improved their yards by planting rose bushes and ivy. They bought their supplies from the same store. DeShawn purchases 14 rose bushes and 7 pots of ivy for $112. Jenny buys 3 rose bushes and 14 pots of ivy for $74. Find the cost of one rose bush and the cost of one pot of ivy.
Find the lowest common multiple(LCM) of A,B and C
The LCM is 6,46,800
What is lowest common multiple?The smallest positive integer that is divisible by both a and b is the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, which is typically denoted by lcm (a, b) in arithmetic and number theory.
Given A = 2³ x 5 x 7² x 11
B = 2⁴ x 7 x 11
C = 3 x 5²
LCM(A,B,C) = 2³ x 5 x 7² x 11 x 2 x 3 x 5
LCM(A,B,C) = 6,46,800
Hence LCM(A,B,C) is 6,46,800
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100 points please help its just these two left
Answer:
350N, 800 N
Step-by-step explanation:
for question no 6
mass (m) = 70 kg
acceleration (a) = 5 m/s²
Force (F) = m * a = 70 * 5 = 350 N
for question no 7
mass (m) = 80 kg
acceleration (a) = 10 m/s²
Force (F) = m * a = 80 * 10 = 800 N
Hope it will help :)❤
Answer: 350N, 800 N
Step-by-step explanation:
for question no 6
mass (m) = 70 kg
acceleration (a) = 5 m/s²
Force (F) = m * a = 70 * 5 = 350 N
for question no 7
mass (m) = 80 kg
acceleration (a) = 10 m/s²
Force (F) = m * a = 80 * 10 = 800 N
f f(x)=4x^(2)-9, find f(-1)
f(-1)= ?
Answer:
[tex]f(-1)=-5[/tex]
Step-by-step explanation:
Numeric Value of a Function
Given:
[tex]f(x)=4x^2-9[/tex]
It's required to find f(-1).
It can be calculated by substituting the value x=-1 in the function:
[tex]f(-1)=4(-1)^2-9[/tex]
Calculating:
[tex]f(-1)=4*1-9[/tex]
[tex]f(-1)=4-9[/tex]
[tex]\boxed{f(-1)=-5}[/tex]
For a filed trip the school bought 47 sandwiches for $40.60 each and 39 bags of chips for $1.25 each. How much did the school spend in all?
Answer:
$1,956.95
Step-by-step explanation:
The school bought 47 sandwiches for $40.60
= 47 × 40.60
= 1,908.2
They also bought 39 bags of chips for $1.25
= 1.25×39
= 48.75
Therefore the total amount spent can be calculated as follows
= 48.75 + 1,908.2
= 1,956.95
Hence the total amount spent by the school is $1,956.95
Solve for x in the equation 5x - 3 = 12
Answer:
x=-3
Step-by-step explanation:
5x=12+3
5x=15
divide both sides by 5
x=3
SOMEONE HELP ASAP PLS :(
Linda bought 63 pairs of gloves, which were on sale with a promotion of "buy 4 get 1 free." If each pair of gloves cost $14.50, how much money did Linda spend on all the gloves?
Answer:
$739.50
Step-by-step explanation:
Linda brought =63 pairs of gloves
when she brought 4 she actually got 5 by "buy 4 get 1 free." offer.
This means she got 60/5 = 12 pairs for free out of 63 pairs.
So, she had to pay for only = 63-12 =51 pairs
Therefore, money did Linda spend on all the gloves =51*14.50 = $739.50
A flower bed is 2 meters wide and 3 meters long. What is the area of the flower bed in square feet? Round intermediate calculations and your answer to the nearest hundredth. The area of the flower bed is about 64.55 square feet.
Answer:
Area=63.96
Step-by-step explanation:
Given data
A flower bed is 2 meters wide and 3 meters long
convert to feets
1m to feet 3.28084
2m to feet x
x= 3.28084*2
x=6.5ft
3m to feet
=3.28084*3
=9.84ft
Area= 6.5*9.84
Area=63.96
35 is 28% of what number?
Answer:
answer: 125
Step-by-step explanation:
Answer:
125
Step-by-step explanation:
We have, 28% × x = 35
or,
28
100
× x = 35
Multiplying both sides by 100 and dividing both sides by 28,
we have x = 35 ×
100
28
x = 125
If you are using a calculator, simply enter 35×100÷28, which will give you the answer.
Which graph represents the equation y = 20(1.25)^x?
Answer:
Graph (1)
Step-by-step explanation:
Given equation of the graph is,
y = 20(1.25)ˣ
Table for the input - output values of the function,
x -2 -1 0
y 12.8 16 20
These points lie on curve (1).
Therefore, curve (1) will be the graph represented by the equation.
Can someone please help me with this
Answer:
[tex]b = 6 \sqrt{3} [/tex]
Step-by-step explanation:
Please see the attached picture for the full solution.
Write the equation of a line that is parallel to the y axis and passes through the point (-2,5).
Answer:
x = -2
Step-by-step explanation:
If it’s parallel to the y-axis, it must be an x value that is straight up and down. The x coordinate here is -2 so the line must be vertical from -2 on the x-axis.