Bill's and Mary's watches will match once a year on a non-leap year and twice a year on a leap year since Bill's watch loses 4 minutes per day. After 360 days, Bill's watch will be exactly 24 hours behind Mary's.
You asked how many times a year Mary's watch (which keeps perfect time) and Bill's watch (which loses 4 minutes a day) would match if they were both set at midnight on January 1. This is a mathematical problem involving the concept of elapsed time.
Since Bill's watch loses 4 minutes per day, after 1 day, there will be a 4-minute difference between the two watches. As this pattern continues, we calculate how many days it will take for Bill's watch to lose an entire 24-hour cycle (1440 minutes) since 1440 minutes divided by 4 minutes/day equals 360 days. Therefore, Bill's watch would match Mary's watch exactly one more time, 361 days after both watches were set, which would be on the next New Year's Eve, just before both watches hit midnight.
However, this scenario would only occur in a non-leap year. During a leap year, Bill's watch would be 4 minutes slow on December 30th instead of on December 31st, so Bill's watch would match Mary's watch two times in a leap year, once on January 1st and again on December 30th. In conclusion, Bill's and Mary's watches match once a year during a non-leap year and twice during a leap year.
4000 minutes is equal to how many days, hours, and minutes
Answer:
2.78 days 66.67 hours
Step-by-step explanation:
Mary is 1 9/11 ft tall, whereas Anne is 1 7/10 ft tall. How much taller in feet is Mary than Anne? *
show ur work!!!
Answer:
= 13/110 ftStep-by-step explanation:
1 9/11 - 1 7/10
= (1-1) + (9/11 - 7/10)
= 9/11 - 7/10
= (9×10)/110 - (7×11)/110
= (90-77)/110
= 13/110
Answer:
Step-by-step explanation:
Mary is 1 9/11feet = 20/11feet
Anne is 1 7/10feet = 17/10
Mary is tall than Anne with
= 20/11 - 17/10
The LCM is 110
= (200 - 187)/110
= 13/110
= 13/110feet
These are the first six terms of a sequence with a = 2:
2, 14, 98, 686, 4802, 33614, ...
Find a recursive formula for this sequence that is valid for n > 1.
Write your answer in simplest form.
Answer:
an+1 = 2×7ⁿStep-by-step explanation:
98÷14
=7
686÷98
=7
4 802÷686
=7
33 614÷4 802
=7
Then the common ratio q for this sequence is 7
recursive formula : an+1 = q×an = ?
an= a1 × qⁿ⁻¹
=2×7ⁿ⁻¹
an+1 = q×an
= 7×(2×7ⁿ⁻¹)
= 2×7ⁿ
Answer: The formular for this sequence is AR^n-1 (that is, A multiplied by R{raised to the power of n minus 1} )
Step-by-step explanation:This is a geometric progression in which every term is calculated by multiplying each previous term by a common ratio.
The common ratio here is 7, which is derived as
14/2, or 98/14, or 686/98, or 4802/686...
In simply put, R is derived as Tn/Tn-1, where Tn is the nth term and Tn-1 is the previous term.
Therefore the formular for this progression is given as
AR^n-1
Where A = 2, R = 7 and n = the nth term.
Tyler works in the shipping department of a toy factory that makes radio-controlled helicopters. Small helicopters weigh 3 pounds each, and are shipped in a container that weighs 18 pounds. Large ones, on the other hand, weigh 5 pounds apiece, and are shipped in a container that weighs 10 pounds. If these boxes can hold a certain number of helicopters each, all of the packed containers will have the same shipping weight. How many helicopters would fit in either container? What would the total weight be?
Answer:
6 could fit in the 18 pound box cause if you multiply 6 by 3 you get 18 and the wieght be 18
Step-by-step explanation:
Answer:
2 kilos and costing $22
Step-by-step explanation:
Equation that would have infinitely many solutions with 5x+3y=12
if file that is 274 megabytes is being downloaded if the download is 16.4% complete how many megabytes have been downloaded round to the nearest tenth
44.9 megabytes of download is complete
Solution:
Given that,
File that is 274 megabytes is being downloaded if the download
Therefore, total megabytes of file = 274 megabytes
The download is 16.4% complete
To find: Megabytes that has been downloaded
So, we can say, 16.4 % of total megabytes of file is downloaded
Megabytes that has been downloaded = 16.4 % of total megabytes of file
Megabytes that has been downloaded = 16.4 % of 274
[tex]\rightarrow 16.4 \% \text{ of } 274\\\\\rightarrow 16.4 \% \times 274\\\\\rightarrow \frac{16.4}{100} \times 274\\\\\rightarrow 0.164 \times 274 = 44.936 \approx 44.9[/tex]
Thus 44.9 megabytes of download is complete
Final answer:
multiply 274 megabytes by 0.164, which gives 44.936 megabytes. Rounded to the nearest tenth, this is 44.9 megabytes.
Explanation:
To calculate how many megabytes have been downloaded when 16.4% of a 274 megabyte file has been completed, you simply multiply the total file size by the percentage that has been downloaded. You can convert the percentage into a decimal by dividing it by 100.
So, 16.4% as a decimal is 0.164. Now, multiply the file size by this decimal:
274 megabytes * 0.164 = 44.936 megabytes
Round to the nearest tenth, the amount downloaded is approximately 44.9 megabytes.
what is the answer to 6y2−24y+18
Find the evaluate this expression 7×(12+8)-6
The answer to this problem is simple 134
The table above represents what type of function?
A.
nonlinear
B.
linear
C.
linear and nonlinear
D.
neither linear nor nonlinear
Answer:
A
Step-by-step explanation:
Evaluate the expression when n=-2.
n²-8n+7
Answer:
27
Step-by-step explanation:
Substitute n = - 2 into the expression
n² - 8n + 7
= (- 2)² - 8(- 2) + 7 = 4 + 16 + 7 = 27
0.5•(6x-3)=3(1+x) how to solve
Answer:
No solution
Step-by-step explanation:
We need to isolate x.
Start by performing the indicated multiplication:
3x - 1.5 = 3 + 3x
This has no solution, since 3x = 3x for any x value and -1.5 never equals 3.
0.3(e+60)+1500/3
A. 0.1e+500
B. 0.1e+506
C. 0.1e+502
D. 0.1e+520
Answer:
0.3e+518
Step-by-step explanation:
0.3(e+60)+1500/3
0.3e+18+500
0.3e+518
what is the square root of 56
Answer:
7.48331477355
Step-by-step explanation:
Answer:
(7.48331)
Step-by-step explanation:
A system of two linear equations in which the lines are parallel is classified as __________.
A) inconsistent.
B) indeterminate.
Eliminate
C) consistent and dependen
Write in exponential form. 2 · 2 · 7 · 7 · 7 · 7 · 7 · 7 · 7
Answer:
2^2*7^7
Step-by-step explanation:
The expression 2 · 2 · 7 · 7 · 7 · 7 · 7 · 7 · 7 can be written as 2^2 · 7^7 in exponential form.
Explanation:The expression 2 · 2 · 7 · 7 · 7 · 7 · 7 · 7 · 7 can be written in exponential form as 22 · 77. In exponential form, the base number is written followed by a superscript that represents how many times the base is multiplied by itself. In this case, the base numbers 2 and 7 are multiplied by themselves 2 and 7 times, respectively.
Learn more about Exponential form here:https://brainly.com/question/34346778
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[Will mark Brainliest] 4 Questions:
Question 1: I'm a shape that has 10 sides and 10 angles. What am I?
Question 2: I'm a shape that has 9 sides and 9 angles. What am I?
Question 3: I'm a shape that has 5 sides and 5 angles. What am I?
Question 4: I'm a shape that has 7 sides and 7 angles. What am I?
Answer:
I'll write it below
Step-by-step explanation:
Q1 a side that has 10 sides and 10 angles is called decagon.
Q2 it is nonagon
Q3 it is Pentagon
Q4it is heptagon
1. A decagon has 10 sides and 10 angles
2. A nonagon has 9 sides and 9 angles
3. A pentagon has 5 sides and 5 angles
4. A heptagon has 7 sides and 7 angles
These are terms you'll have to memorize.
Make an algebraic equation out if this word problem: Sharkira went bowling with her friends. She paid 3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $21, then how many games did Shakira bowl?
Shakira played 3 full games because rounding off to 4 would increase the total.
Step-by-step explanation:
Given,
Rent of shoes = $3
Amount paid for each game = $4.75
Total paid by Shakira = $21
Let,
x be the number of games played by Shakira.
Amount paid for each game * Number of games + Rent of shoes = Total paid
[tex]4.75x+3=21\\4.75x=21-3\\4.75x=18[/tex]
Dividing both sides by 4.75
[tex]\frac{4.75x}{4.75}=\frac{18}{4.75}\\x=3.8[/tex]
Therefore,
Shakira played 3 full games because rounding off to 4 would increase the total.
Keywords: algebraic equation, division
Learn more about division at:
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Which equation is equivalent to log x 36 = 2?
Answer:
The answer is X^2=36
The equivalent equations of [tex]log_x36 = 2[/tex] are 36 = x² and x = 6.
What is Logarithmic?The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
Given:
Equation [tex]log_x36 = 2[/tex]
We know the logarithmic function:
[tex]log_bx = a[/tex]
Then,
x = bᵃ
[tex]log_x36 = 2[/tex]
36 = x²
x = 6
Therefore, 36 = x² and x = 6 are the equivalent expressions.
To learn more about the logarithms;
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I need to know how you do this math
11-360+15
Answer:334
Step-by-step explanation:
11+15=26-360
Albert has a round box of crime filled chocolates the box has a diameter of 14 centimeters what is the box’s area
Answer:
Step-by-step explanation:
The formula for the area of a circle is pi*r^2, meaning pi times the radius squared. Since we know that the diameter is 14 centimeters, we know that the radius is half of that. The radius is 7. Now, we have to square 7. 7^2=49. So the answer is 49*pi, or approximately 153.93804
What is the equation of the line that passes through (5, 3) and (4, 5)
Answer:
y = -2x + 13
Step-by-step explanation:
for equation of a line
(x - x1)/(x2 - x1) = (y - y1)/(y2 - y1)
(x - 5)/(4 - 5) = (y - 3)/(5 - 3)
cross multiplying
2(x - 5) = -1(y - 3)
2x - 10 = -y + 3
y = -2x + 13
If the perimeter of a triangle is 10x + 12y, and two of the sides are 4x + 14y and 4x − 2y, which is the third side?
A. 2x + 2y
B. 2x
C. 3x + y
D. x + y
Answer:
The third side is
B. [tex]2x[/tex]
Step-by-step explanation:
Given:
Perimeter of triangle = [tex]10x+12y[/tex]
Two sides of the triangle are :
1) [tex]4x+14y[/tex]
2) [tex]4x-2y[/tex]
To find the third side.
Solution:
Let the third side be = [tex]z[/tex]
The perimeter can be given as sum of all 3 sides :
[tex]4x+14y+4x-2y+z[/tex]
Combining like terms.
[tex]4x+4x+14y-2y+z[/tex]
[tex]8x+12y+z[/tex]
The perimeter given = [tex]10x+12y[/tex]
So, we have:
[tex]8x+12y+z=10x+12y[/tex]
Solving for [tex]z[/tex]
Subtracting both sides by [tex]8x[/tex]
[tex]8x-8x+12y+z=10x-8x+12y[/tex]
[tex]12y+z=2x+12y[/tex]
Subtracting both sides by [tex]12y[/tex]
[tex]12y-12y+z=2x+12y-12y[/tex]
∴ [tex]z=2x[/tex]
Thus, the third side is = [tex]2x[/tex]
Find the area of the irregular figure.
Answer:
The area of the irregular figure is 366 cm sq.
Step-by-step explanation:
This irregular figure is made of 1 Rectangle + 1 right Triangle
Area of the Rectangle:
Length of the rectangle = 21 cm,
Width of the rectangle = 14 cm
AREA of Rectangle = LENGTH x WIDTH
= 21 cm x 14 cm = 294 sq cm
⇒Area of the Rectangle = 294 sq cm ..... (1)
Area of the Right Triangle:
Base of the rectangle = 16 cm,
Height of the rectangle = 21 cm - 12 cm = 9 cm
AREA of Right Triangle = [tex]\frac{1}{2} \times B \times H[/tex]
[tex]= \frac{1}{2} \times 16 \times 9 = 72[/tex]
⇒Area of the Right Triangle = 72 sq cm ..... (2)
Now, area of the irregular figure = Area of the( Rectangle +Right Triangle)
= 294 sq cm + 72 sq cm = 366 cm sq
Hence, the area of the irregular figure is 366 cm sq.
Answer:
366 sq. ft
Step-by-step explanation:
First, we have to find the area of the triangle. To do this we have to find the height of the triangle which can be done by subtracting 12 from 21 to get 9. Then we multiply 16 by 9 to get 144 and divide it by 2 to get 72. Now we must find the area of the rectangle. To do this we have to multiply 14 and 21 to get 294. Now we have to add the values together to get 366.
Write the equation of the line. A line that passes through (5,7) and (9-5).
Which expression represents the volume, in cubic units, of the shaded region of the composite figure? (14)(10)(8) – π(2.52)(8) (14)(10)(8) + π(2.52)(8) (10)(8)(14) – π(2.52)(8) (10)(8)(14) + π(2.52)(8)
Answer:
A. 1/2(14)(10)(8) – π(2.5^2)(8)
Step-by-step explanation:
I took the test and this was the correct answer. Hope this helped!
Answer:
(0.5)(14)(10)(8) – π(2.5²)(8)
Step-by-step explanation:
The rest of the question is the attached figure.
The volume of the shaded region = volume of the prism - volume of the cylinder
The volume of the prism = The area of triangle * height
= 0.5 * 10 * 14 * 8
The volume of the cylinder = The area of the circle * height
= π r² h
= π (5/2)² * 8 = π * 2.5² * 8
So, The volume of the shaded region = (0.5)(14)(10)(8) – π(2.5²)(8)
Find the simple interest:
$1,000; 5%; 2 years
Explain Joshua has 10 cookie. Dareonte has 7 cookies
How many more cookies does Joshua have than Dareonte?
Answer:
joshua has 3 more cookies than dareonte
on Saturday a bakery sold 6 cakes and several cupcakes a bakery made a total of 165 if Case sell for $12 each and cupcakes sell for $3 each how many cupcakes did they sell
Cakes = x
Cupcakes = y
On Saturday, 6x + y = $165
We are told x = 12, so 6(12) + 3y = 165
72 + 3y = 165
Subtract the entire equation by 72:
3y = 93
Divide by 3 to simplify:
y = 31 cupcakes sold
100 POINTS! I REALLY NEED TO GET THIS CORRECT! Factor the quadratic trinomial.
x^2−3x−18
Hint: To use type an exponent, use the caret symbol (^) by using the keys shift + 6
Answer:
By inspection you need 2 numbers that multiply together to -18 and sum to -3. These numbers are -6 and 3. Therefore we have:
x2−3x−18=(x−6)(x+3)
Use the distributive property to write each expression as an equivalent expression. Then evaluate the expression.
Due tonight please help
brainliest and 50 points
the answers
10: 6(3+9) = 6(12) = 72
11: 8(8+5) = 8(13) = 104
12: (10+9)3 = (19)3 = 57
13: (12+7)5 = (19)5 = 95
14: 9(12-3) = 9(9) = 81
15: 3(15-5) = 3(10) = 30
16: -4(8-5) = -4(3) = -12
17: -7(16-8) = -7(8) = -56
18: 14(20-4) = 14(16) = 224