Answer:
20.95 inches
Step-by-step explanation:
The complete revolution of the minute hand forms a circle in 60 minutes.
circumference of a circle = 2[tex]\pi[/tex] radius
i.e C = 2[tex]\pi[/tex]r
But from the question, r = length of the minute hand = 10 inches
⇒ C = 2[tex]\pi[/tex] x 10
= 20[tex]\pi[/tex]
C = 20[tex]\pi[/tex] inches
Also, 20 minutes = [tex]\frac{20 minutes}{60 minutes}[/tex] = [tex]\frac{1}{3}[/tex] of the circumference.
So that,
the distance of the tip of the minute hand = [tex]\frac{1}{3}[/tex] x C
= [tex]\frac{1}{3}[/tex] x 20[tex]\pi[/tex]
= [tex]\frac{1}{3}[/tex] x 20 x [tex]\frac{22}{7}[/tex]
= 20.9524
= 20.95 inches
Thus, the distance of the tip of the minute hand is 20.95 inches
Adam, Barry, and Charles visited a small farmers market last Saturday. Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes. Barry bought 1 dozen eggs and 10 pounds of potatoes, while Charles purchased 2 dozen eggs and 2 pounds of potatoes. If Adam’s bill was $38.25, Barry’s $36.50 and Charles’ $17.20, how much did a dozen eggs, a wheel of cheese and a pound of potatoes cost?
Answer:
Dozen eggs = $5.5
Wheel of cheese = $6.25
Pound of potatoes = $3.1
Step-by-step explanation:
Let the cost
Dozen of egg = x
Wheel of cheese = y
Pound of potato = z
We will form linear equations using the information given in the question
Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes
3x + y + 5z = 38.25 ................(1)
Barry bought 1 dozen eggs and 10 pounds of potatoes
x + 10z = 36.50 ............(2)
Charles purchased 2 dozen eggs and 2 pounds of potatoes
2x + 2z = 17.20 .................(3)
solving 2 and 3
x = $5.5 and z = $3.1
substitute these values in equation 1
we get
y = $6.25
The cost
Dozen eggs = $5.5
Wheel of cheese = $6.25
Pound of potatoes = $3.1
The sum of two binomials is 7x 2 - 15. If one of the binomials is 4x 2-8. what is the other binomial?
0 33²-7
o 11x².7
O 3x2-23
O 11x 2 + 23
Previous
Answer:
c
Step-by-step explanation:
If |14 -2x = 20, x could equal which of the following?
Answer:
x would equal -3
Step-by-step explanation:
want to get rid of 14 from each side so 14 - 14 would get rid of that 20 - 14 = 6 now you still have a negative 2x
-2x / -2x gives you X to be alone now divide 6 with -2 which gives you -3
The value of x is -3.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
14 -2x = 20
Now, solving for x
Subtract 14 both side
14- 2x - 14= 20- 14
-2x = 6
Divide by (-2)
-2x/(-2)= 6/ (-2)
x= -3
Hence, the value of x is -3.
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A triangle has a base of 3 2/5 inches and an area of 5 1/10 square inches. Find the height of the triangle.
Answer:
3.33 is the answer
determine whether or not the two triangles below could lie on the same graphed line
Answer:
I think they could because they are both right trigangles and have a flat bottom
Step-by-step explanation:
if the number of different schedules is represented by three consecutive even integers, what is the expression for that total number of schedules they have to choose from?
Answer:
s
Step-by-step explanation:
s
4/9 as a ratio? please answer ASAP!!!
Answer: 49
Step-by-step explanation:
Help please (screenshot)
Answer:
Step-by-step explanation:
In my town, gas prices are always listed to the thousandths place. Since the smallest coin we have is
the penny, we have to round them to the hundredths place. If the price of gas is $5.897, what will the
price be when we round it to the hundredths place?
Answer:
It would be rounded to $5.90 per gallon. As if something is 5 or above you round up and if it is 4 or less you round down.
sergio must ride 7.5 miles in 1/4 hour to achieve this target speed, so he needs to ride an additional ____ mile per 1/4 hour
Answer: 7.0
Step-by-step explanation:
sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so he needs to ride an addititonal 9.8 mile per1/4 hour
Answer:
30 mph
Step-by-step explanation:
since it is 1/4 you would multply 7.5 times 4, which adds up to 30.
The total bill for dinner, including tax, was $65.81. In Indiana there is a 7% sales tax. What was the price of the meal before taxes?
Answer:
$56.41
Step-by-step explanation:
You have to divide the total bill by the sales tax and the multiply that number by 100. Then subtract that number from the total bill and that's how you get your answer.
Antonia participated in a run-a-thon and raised $265 for her school. She received $25 in donations and an additional $8 for every lap she ran. How many laps did Antonia run? Use a piece of paper to draw a tape diagram and show your work.
Answer:
30 laps
Step-by-step explanation:
Take 265 then subtract 25. you get 240. then divide that by 8. you get 30 so she ran 30 laps
help me plz !!!!!!!!!!!!
Answer:
5/7
Step-by-step explanation:
hope this helps!!
Answer:
the answer is 5/7 thats the lowest it can go
Step-by-step explanation:
The speed of a boat in still water is 10 km/hr. If it can travel 78 km downstream and 42 km upstream in the same time, the speed of the stream is?
Answer:
umm let me look at this one more time then I will answer:)
I’m not sure if I’m right but can someone help.!
Answer:
4/9
Step-by-step explanation:
because it is 0.44444444 repeating :)
Answer:
I think this is right. I checked with my mom, a math wiz, and she says its 11/25. But that can't be simplified, and its not an option. Try simplifying the fraction 11/25.. Hope it helps
Step-by-step explanation:
WHAT IS THE ANSWER TO LIFE PLZ RIGHT ANSWER
Answer:
The answer to life is to enjoy everyday like it is the last day on earth
Step-by-step explanation:
Even with hard times go beyond plus ultra.
Samantha invested $50,000 in an account paying an interest rate of 4.1% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 8 years?
Answer:
$69,408.17 = $69,410 rounded
Step-by-step explanation:
Final investment value
$69,408.17
Total interest earned
$19,408.17
Initial balance
$50,000.00
Total monthly deposits
$0.00
Effective Annual Rate (APY)
4.185%
The formula used in the compound interest calculator is A = P(1+r/n)^(nt)
A = the future value of the investment
P = the principal investment amount
r = the interest rate (decimal)
n = the number of times that interest is compounded per period
t = the number of periods the money is invested for
in the diagram below ,segment A'B' is the image of segment AB after a rotation by 103 degrees counterclockkwise about point C. Which segments below, when drawn, would not have to be the same length
Answer:
2
Step-by-step explanation:
Solve for k.
k + 4 over 2 = 3
Answer:
K = 1
Step-by-step explanation:
K + 2 = 3
K = 3 -2
K = 1
Answer:
K=2
Step-by-step explanation:
K+4 / 2 = 3
If you input 2 into the equation you get 3.
2+4=6
6/2 = 3
who is rich on rob.lox adopt me i could play right now so if anybody can then tell me only people that play could answer and tell me your best pets to and your user name
Answer:
I'm not really rich but I have a kitsune and a fly and ride potion, also I plan on buying more robux soon
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
Pleaseee answer I will give brainiest if it helps me
Answer:
3+(-4)= -1
Step-by-step explanation:
Originally on 3 and goes to -4, and for addition add (-4) to positive 3 and you'll get -1
Suppose a local pizzeria delivers pizzas every day of the week and their delivery times are normally distributed with a mean of 30 minutes with a standard deviation of 4 minutes. Determine the interval that contains the middle 80% of delivery times.
Answer:
interval in minutes = (24.88, 35.12)
Step-by-step explanation:
we can use the following formula:
interval = population mean ± (z · σ)
population mean = 30 minutesz for 80% = 1.28σ = 4 minutesinterval = 30 minutes ± (1.28 · 4 minutes)
interval in minutes = (30 - 5.12), (30 + 5.12) = (24.88, 35.12)
Is -2.75 greater than -3.25? HURRY!
How many 7/8-teaspoon servings are in 1/4 of a teaspoon of sugar? Yor anwer needs to be in farction in simplest form.
QUESTION 1 of 10: You purchased 100 shares of stock valued at $55 per share. The stock value increases to $85 per share.
What was the rate of increase?
a. 48%
b. 55%
c. 64%
d. 85%
Answer:
55%
Step-by-step explanation:
The stock value has increased at rate of B) 55%
Calculation of percentage rate of increase
Percentage rate of Increase or decrease is calculated by dividing the change (increase or decrease) by the initial before change value
Formula = ( Change / Initial Value ) x 100
Given : Initial value = $55 , New Value = $85
So, change = New - Initial Value = 85 - 55 = 35
Percentage rate = (30 / 55) x 100
= 54.54% ≈ 55%
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Find the midpoint of the segment whose endpoints are (8,6) and (10.4)
Answer:
the midpoint is (9,5). hope this helps
Nathan ran 2.35 miles on Tuesday and 3.15 on Thursday. What total distance did he run?
Answer:
5.5 miles
Step-by-step explanation:
2.35 + 3.15 =5.5
If I run 2 1/2 miles in 19 1/5 minutes what is my average time per mile
Answer:
7:41
Step-by-step explanation:
19 1/5 as a decimal is 19.2, and the mileage would be 2.5. to find the time per mile, you divide the finish time by the number of miles you ran:
19.2 / 2.5 = 7.68
now you're prolly wondering, "why isn't the answer 7.68?" that's a good question, and the reason that 7.68 isn't the answer is bc time is all in factions of 60, not 100 like most things, so there are 60 seconds in a minute, instead of 100 seconds in a minute.
so, you have to find out how many seconds are in 0.68 of a minute. to do this, you multiply 60 by 0.68:
60 x 0.68 = 40.8
so 0.68 of a minute is 40.8 seconds, so your average pace was 7:40.8. i would just round up to 7:41, but your teacher may want exact numbers.
hopefully that helps and isn't too confusing! if you need any other help, let me know! :)
Evaluate h(-17) for the function null
Answer:
the answer is 49
Step-by-step explanation:
Original price $80 Rate of discount 4% what is the Discount and Sale price
Answer:Price after discount: $76.80
You saved: $3.20
Step-by-step explanation: