Answer:
The number of rods used by the company is 43 rods/hour
Step-by-step explanation:
Given;
diameter of the cylinder, d = 6 cm
radius of cylinder, r = d/2 = 3 cm
height of the cylinder, h = 40 cm
Volume of the steel rod is given by;
V = πr²h
V = π(3)²(40)
V = 1131.12 cm³
The number of rods used by the company on average each hour is given by;
[tex]n = \frac{48,607 \ cm^3}{hour} *\frac{1}{1131.12 \ cm^3}\\\\ n = 43 \ rods/hour[/tex]
Therefore, the number of rods used by the company is 43 rods/hour
A group of five friends goes to the state fair. Each friend pays the entrance fee and buys one booklet of ride tickets and a meal ticket. The entrance fee is d dollars. A booklet of ride tickets costs 2.5 times the entrance fee. A meal ticket costs $4 less than the entrance fee. Which part of the expression represents the total amount each friend pays?
A) d+2.5d+d
B) d+2.5d+d-4
C) 2.5d
D) 5
Answer:
for the second part its d+2.5d+d-4
Step-by-step explanation:
The part of the expression represents the total amount each friend pays is d+2.5d+d-4.
What is Expression?An expression is combination of variables, numbers and operators.
Each friend pays for the entrance fee, a booklet of ride tickets, and a meal ticket.
The entrance fee costs d dollars.
A booklet of ride tickets costs 2.5 times the entrance fee, which is 2.5d dollars.
A meal ticket costs $4 less than the entrance fee, which is (d - 4) dollars.
Therefore, the total amount each friend pays is:
d + 2.5d + (d - 4)
Simplifying the expression, we get:
4.5d - 4
Hence, d+2.5d+d-4 is the part of the expression represents the total amount each friend pays.
To learn more on Expressions click:
https://brainly.com/question/14083225
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Item 3 Eleven Fahrenheit temperatures are shown on a map during a weather report. When the temperatures are ordered from least to greatest, the middle temperature is below 0°F. Do you know exactly how many of the temperatures are represented by negative numbers? Explain
Answer:
5 of the temperatures are represented by negative numbers
Step-by-step explanation:
To calculate the median, we need to order from the lowest to the highest and select the middle number.
For 0 to be the middle number, it means that there are equal positive numbers as well as equal negative numbers.
Hence, we have 5 numbers to the left of zero and 5 numbers to the right of zero
Hence, we can say that 5 of the temperatures are represented by negative numbers
4. The average score of a statistics test for a class is 85 and standard deviation is 10.
Find the probability of a random score falling between 75 and 95
Answer:
ap e x
Step-by-step explanation:
66
A water truck is filling a swimming pool. The equation that represents this relationship is y = 19.75x where y is the number of gallons of water in the pool and x is the number of minutes the truck has been filling the pool. Choose True or False for each statement.
Answer:
The answer is TrueStep-by-step explanation:
Given the expression
y = 19.75x------------------1
and y is the number of gallons
we know that
rate= quantity/time
quantity= rate*time-----------2
comparing the two equations
we can see that
the rate is 19.75 gallons/minutes
and the time is x
therefore x is the number of minutes taken
Zaniya's neighborhood kid's pool is shaped like a square
with an area of 165 ft what is The approximate side
length of the pool (Between which two whole numbers?)
Answer:
165ft
Step-by-step explanation:
because every square has equal sides
Pleaseeeeeee help me!
Answer:
maybe number 2
Step-by-step explanation:
find the value of x
Answer:
16
Step-by-step explanation:
Answer:
x=169 degrees
Step-by-step explanation:
(no joke here)
a flat line is 180 degrees so subtract 11 by 180 to get
169
The total cost to buy 12 candy bars if one cost the same
Question Category: Writing Linear Functions and Equations
What is the equation of the line that has a slope of 1 and passes through the point (1,5)?
y + 5 = (x + 1)
y + 1 = (x - 5)
y - 1 = (x + 5)
y - 5 = (x - 1)
15pts Ill give brailiest help plzzzzz
Answer:
d
Step-by-step explanation:
5-5=1-1
0=0
2x-y=1, if x=2, then y=? 25 POINTS
Answer:
-3
Step-by-step explanation:
A square that measures 2 inches by 2 inches. What is the perimeter of the square? 2 inches 4 inches 8 inches 10 inches
Answer:
8 inches
Step-by-step explanation:
The square has 4 sides and each one measure 2 inches since all side are the same on squares.
2*4=8
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
If the square is 2in that means every side is 2in and we know that a square has 4 sides. So what I would do is 2 * 4 and that equals 8 inches
Choice 3
x2 - 14x + 40 = 2x +1
What is the sum of the solutions to the given
equation?
Answer:
x=3 or x=13
Step-by-step explanation:
What's 140 increased by 95%
Answer:
273
Step-by-step explanation:
Answer:
140 increased by 95% = 273
Step-by-step explanation:
A fight aeroplane moving forward at 500 m/s fires a missile at 300 m/s. How fast will the missile move
Answer:
I think it would be 1.666, but I am dumb, so sorry if it is not right :(
Step-by-step explanation:
Three times the difference of a number and six is negative nine. Find the number.
The number is:_________________
Answer:
3
Step-by-step explanation:
∴h∈∫p p║s im ≤t∪⊂k Ф∧ di≤∴
Answer:
about 48 feet
Step-by-step explanation:
1.8 x 24 is actually 43.2 but i bet the teacher wants the answer 48
helpppp!!!pleaseeee
Answer: D
Step-by-step explanation:
When a solar flare occurs, how long does it take before a scientist sees it? (The Earth-Sun distance is 1.5*10^11m and the speed of light is approximately 3*10^8 m/s.
Answer:
It will take 500 seconds before the scientist sees the solar flare
Step-by-step explanation:
From the question, the Earth-Sun distance is 1.5×10¹¹ m and the speed of light is approximately 3×10⁸ m/s.
Now, we are to determine how long it will take before a scientist sees a solar flare after it has occurred. That is, we are to determine time.
From the formula
Speed = Distance / Time
Time = Distance / Speed
From the question,
Distance = 1.5×10¹¹ m
and speed = 3×10⁸ m/s
Therefore,
Time = 1.5×10¹¹ m / 3×10⁸ m/s
∴ Time = 0.5 × 10³ s
Time = 500 s
Hence, it will take 500 seconds before the scientist sees the solar flare.
Use the original price and the markup to find the retail price.
Original price: $66; Markup: 25%
Answer: 0.25
Step-by-step explanation:
Use the given functions to set up and simplify
25%.66 = 25% = 0.25
SOMEONE, PLEASE HELP ME!!!!
How can you look at the equation of two lines and determine if they will be perpendicular?
Answer:
By looking at the slope
Step-by-step explanation:
Let's use these equation: y = 2x + 3 and y = 2x - 9
You know that those two equations are parallel because the slope is the exact same!
But, if we rewrite those equations to: y = -2x + 3 and y = 1/2x - 9
You can now see that the equations are perpendicular because the slopes are Opposite Reciprocal. The slopes have opposite signs (pos./neg.) and are reciprocal numbers: 2 = 1/2
Use a translation rule to describe the translation that is 3 units to the right and 6 units down
1. (x, y) --> (x + 3, y + 6)
2. (x, y) --> (x + 3, y - 6)
3. (x, y) --> (x - 3, y - 6)
4. (x, y) --> (x - 3, y + 6)
Step-by-step explanation:
Translation that is 3 units to the right and 6 units down translate the point (x,y) into the point (x+3,y-6). Example: if you translate the origin (0,0) 6 units to the left and 5 units up, then you obtain point (-6,5)
Please help me!! I really need help
Answer:
H = 15
Step-by-step explanation:
60h + 200 = 1100
60h = 1100 - 200
60h = 900
h = 900 / 60
H = 15
4−5(1 r) −2 = 3 +6 v
Find the LCM of 14 and 12
Answer:
It's 84
Step-by-step explanation:
Answer:
the answer is 84
Step-by-step explanation:
trust me i am a god when it comes to math
Alejandra correctly wrote the equation y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.(x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Answer:
The equation Alejandra should write to represent the new line should be
y-3 = 2(x-10)
Step-by-step explanation:
The equation Alejandra wrote for the line her teacher sketched is
y-3 = 1/5 (x-10).
This can be related to the equation of a line in point slope form. The equation of line in point slope form
is
y - y₁ = m (x - x₁)
Where (x₁, y₁) is a point on line
and m is the slope of the line.
Hence, for the equation Alejandra wrote
The line went through point (3,10) and the slope of the line is 1/5.
Now, from the question
The teacher changed the line so it had a slope of 2, but still went through the same point. That is, the line still went through point (3,10).
In the new line the teacher sketched, the values of x₁ and y₁ remain the same but the value of the slope (m) has changed.
The slope of the new line is 2, that is, m =2.
Therefore,
The equation that represents the new line is
y-3 = 2(x-10)
Hence, the equation Alejandra should write to represent the new line should be y-3 = 2(x-10).
A cube-shaped hole is cut in a rectangular prism as shown below.
If x = 4 cm, y = 32 cm, and z = 24 cm, what is the surface area of the figure?
A.
2,048 square centimeters
B.
2,016 square centimeters
C.
1,920 square centimeters
D.
1,984 square centimeters
-2 (t - 5) = 4t + 12
A. One solution
B. No solution
C. Infinite solutions
D. Cannot Determine.
Answer:
A
Step-by-step explanation:
-2t +10= 4t+12
-2=6t
-1/3=t
Someone help pleasee I don’t understand this and it’s due in 30 minutes
Answer:
Red Marbles: 600 900
Blue Marbles: 900 1300
Step-by-step explanation:
Answer:
800 blue marble
Step-by-step explanation:
if the ratio is 3:4, multiply Each by 100 and you get 300:400, then multiply by 2 and you get 600:800.
Richard and Teo have a combined age of 39. Richard is 6 years older than twice Teo's age. How old are Richard and Teo?
Answer:
Teo is 11 years old
Richard is 28 years old
Step-by-step explanation
t=teo
Richard=2t+6
2t+6+t=39
3t=33
t=11
2*11+6=28
Answer: Richard is 28 and Theo is 11
Step-by-step explanation:
Because if theo was 11, 11 x 2 = 22 and since richard is 6 years older than double theos age, 22 + 6 = 28, so the combination of theos and richards age is 11+28 =39
Henry incorrectly said the rate 1/3 pound / 1/9 gallon can be written as the unit rate 1/27 pound per gallon. What is the correct unit rate? What was Henry´s likely error?
Answer:
The unit rate is 3 pounds per gallon.
Henry's likely error could have been that he multiplied instead of dividing.
Step-by-step explanation:
Given the rate 1/3 pound / 1/9 gallon, this can be written in the unit rate by dividing 1/3 pound by 1/9 gallon. First, we will evaluate 1/3 divided by 1/9 and the unit will be in pound per gallon.
1/3 divided by 1/9 can be written as
[tex]\frac{1}{3} \div \frac{1}{9}[/tex]
This then becomes
[tex]\frac{1}{3} \times \frac{9}{1}[/tex]
[tex]\frac{1}{3} \times \frac{9}{1} = \frac{9}{3} = 3[/tex]
Hence, the unit rate is 3 pounds per gallon.
Henry's likely error could have been that he multiplied instead of dividing. That is, he multiplied 1/3 by 1/9, Such that he gets
[tex]\frac{1}{3} \times \frac{1}{9}[/tex]
[tex]\frac{1}{3} \times \frac{1}{9} = \frac{1}{27}[/tex]
Hence, the 1/27 pound per gallon he got.
