The candle burns at a rate of 1 inch per hour.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
here, we have,
Given,
A 12-inch candle burns down in 12 hours.
∴ The rate at which it burns per hour is the total length of the candle divided by the total time it brunt for which is,
= (12/12) inch/hr.
= 1 inch/hr,
Hence, The candle burns at a rate of 1 inch per hour.
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complete question:
A 12 inch candle burns down in 12 hours. at what rate does the candle burns, in inches per hour?
PLEASEEE HELP
1. Andrea ran and biked for a total of 32 mi in 4 hours. Her average running speed was 5 mph and her average biking speed was 13 mph.
Let x = total hours Andrea ran.
Let y = total hours Andrea biked.
Use substitution to solve for x and y. Show your work. Check your solution.
(a) How many hours did Andrea run?
(b) How many hours did she bike?
Answer:
Ran: 2.5hr
Biked: 1.5hr
Step-by-step explanation:
x = total hrs ran
y = total hrs biked
4 = total hours ran + biked
soo.....
x + y = 4hr
then you can convert that for solving y or x
Ex. x = 4-y or y = 4-x
Then just plug in either x or y
EQUATION: 5x + 13y = 32
Dont plug in both x or y at the same time. Pick one and solve
I really need help with this answer can someone help?
Answer:
$7075 or 7718
Step-by-step explanation:
91100-6200=84900
84900/11= 7718.18181818 or rounded= 7718
(This is if the december month doesnt count.)
84900/12=7075
(If december is included.)
Answer:
her monthly salary = 84900/12= 7075 dollars
Step-by-step explanation:
total earns= 91100 dollars
actual salary does not include bonus
her actually salary : 91100-6200= 84900
her monthly salary = 84900/12= 7075 dollars
Ann invested $61,000 into two accounts. The first account pays an annual interest rate of 5% and the second account pays an annual interest rate of 7%. After one year, Ann earned $3430 in interest. How much was invested in each account? Round your answer to the nearest cent, if necessary. [For full credit, set a system of linear equations and solve the system]
Answer:
2nd Account has $19,000
1st Account has $42,000
Step-by-step explanation:
First let's split the money invested.
x is money in account 1
y is money in account 2
1st equation
$61,000=x+y
5%=0.05
7%=0.07
2nd equation
0.05*x+0.07*y=$3,430
x=61,000-y
substitute into 2nd equation
0.05(61,000-y)+0.07y=3430
Solve.
3050-0.05y+0.07y=3430
0.02y=3430-3050
0.02y=380
y=380/0.02
y=$19,000
There are 2(two) ways to solve for the 1st account, but I will do it the long way.
y=61,000-x
substitute into 2nd equation
0.07(61,000-x)+0.05x=3430
Solve.
4270-0.07x+0.05x=3430
-0.02x=3430-4270
-0.02x=-840
x=-840/-0.02
x=$42,000
The short way...
x=61,000-y
x=61,000-19,000
x=$42,000
10 times as much as blank hundred is 70 hundreds or blank thousands
Answer:
10 times as much as 7 hundred is 70 hundreds or 7 thousands.
Step-by-step explanation:
The question given is:
10 times as much as _____ hundreds is 70 hundreds or _____ thousands.
Dividing the question into two fractions, we have:
10 times what is 70 hundreds?
What is 70 hundreds in thousands?
10 x 7 hundred = 10 x 700 = 70 hundreds
Recall that 70 hundreds = 70 00
70 hundreds = 70 00 = 7 thousands = 7 000
Therefore, the question can be written as:
10 times as much as 7 hundreds is 70 hundreds or 7 thousands.
use the base ten system and mental math to find the products. of 40x50=
Answer:
2000
Step-by-step explanation:
(4x5) x 100
Answer:
2000
Step-by-step explanation:
40 x 50 can be easily done by multiplying 4 and 5 which is 20 and adding the remaining 0's which is 2000
Help me I will give extra points
Answer: g(x) = -4x + 5
Please mark me brainliest instead of points
yall imma fail if you don't help me. what is the scientific notation for 0.12? I need answers asap
Answer:
1.2 x 10^-1
Step-by-step explanation:
So you are going to move the decimal to the right once, since it is where the first number is. Since you only moved the decimal once it is 10^-1. It is negative because you moved the the right. If you had moved the decimal to the left it would be positive.
Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph. if they drive along the same route, how long will it take Mitchell to catch Peter?
Answer:
45 minutes
Step-by-step explanation:
At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...
t = d/s
t = (7.5 mi)/(10 mi/h) = 0.75 h
to catch Peter.
Mitchell will catch Peter in 45 minutes.
__
Alternate Solution
Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:
3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter
_____
You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.
If Beyoncé performed as many songs as
Robyn per capita, how many would you
expect Beyoncé to sing?
Answer:
20 songs
Step-by-step explanation:
Robyn sang a total of 13 songs for a population of 62000 people, the per capita is the ratio of the total songs sang to the total number of people. Hence:
Robyn per capita = songs performed / population = 13 / 62000
Beyonce sang to a population of 91000 people, given that Beyonce and Robyn had the same per capita, therefore:
Beyonce per capita = songs performed / population
13/62000 = songs performed / 91000
songs performed = 13/62000 × 91000 = 19.08
songs performed ≈ 20 songs
Beyonce is expected to sing about 20 songs
Answer:
Around 20
You can use the Distributive property-
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Which is equivalent to 2x(+7)18x+4/5
Answer:
-16x +[tex]14 4/5
Step-by-step explanation:
357,335 rounded to the nearest ten357,335 rounded to the nearest ten
Answer:
357,340
Step-by-step explanation:
Locate the tens place:
357,335
Check the number to the right:
357,335
If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.
The number next to the tens place is a '5'. We round up.
357,335 ≈ 357,340
Hope this helps.
Answer:
357340
Step-by-step explanation:
help!
what is the answer to this problem?
Answer:
D
Step-by-step explanation:
Because 12 is greater than -5 and when you divide a postive and a negative you get a negative number. And negative numbers are less than 0 .
Donovan wants to earn a 70% in Mr. Mottola's class. He knows he currently has an 68% in the class after 5 grades. What is the minimum grade Donovan would need to earn in order to have a 70%.
Answer:
If donovan wants to get dem grades up he has to stop talking out of turn, stop passing notes to his friends, stop fighting, stop trying to kiss the girls, stop cussing, mind his own bussiness, and do his work
Step-by-step explanation:
Which one of these shapes is not like the other and why?
A and B is not, because if you were to make the A bigger it'll be the same as B, so I think is C
could you help me answer this for a friend
Answer:
The correct option is option C(SAS) as there are 2 angles and 1 common side(BC) used to prove the triangles congruent..The graph of y = |x-1|+7 is reflected across the y-axis and then translated up 1 unit. What is an equation of the transformed graph?
The original equation: y = |x - 1| + 7
The new equation: y = |-x - 1| + 8
A 5” x 7” picture needs a frame whose width is the same on all four sides. If the frame’s perimeter is 28”, what should be the width (x) of the frame?
A) Half of an inch
B) Quarter of an inch
C) Two inches
D) One inch
Answer:
Half an inch
Step-by-step explanation:
Perimeter of the frame = 28 inches
Length fo the frame = 7 + x + x = (7 + 2x) inches
Width of the frame = 5 + x + x = (5 + 2x) inches
Perimeter of a rectangle is given as: 2(length) + 2(width)
Therefore:
28 = 2(7 + 2x) + 2(5 + 2x)
Solve for x
28 = 2*7 + 2*2x + 2*5 + 2*2x
28 = 14 + 4x + 10 + 4x
Collect like terms
28 = 14 + 10 + 4x + 4x
28 = 24 + 8x
Subtract 24 from both sides
28 - 24 = 24 + 8x - 24
4 = 8x
Divide both sides by 8
4/8 = 8x/8
½ = x
Width of the frame = x = ½ of an inch
Tyrone solved an algebraic equation correctly. He got the answer 5 = 3. This answer indicates that the solution to the equation is: A. x = 3 B. x = 5 C. infinitely many solutions D. no solution
Answer:
No solution.
Step-by-step explanation:
5 can't equal 3 my friend.
Answer:
D no solution.
Step-by-step explanation:
5 doesn't equal 3
Help please I am confused?
Answer:
Given m∠RST = (15x - 10)o
Using angle addition postulate:
m∠RST = m∠RSP + m∠PST (15x - 10)= (x + 25)+ (5x + 10)(15x - 10)=
so your answer would be (6x+35)
Step-by-step explanation:
16. Find the values of x and y. (2y + 5) (5x - 17) (3x – 11)º
Answer:
x = 26
y = 9
Step-by-step explanation:
(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)
Solve for x
5x - 17 + 3x - 11 = 180
Collect like terms
5x + 3x - 17 - 11 = 180
8x - 28 = 180
Add 28 to both sides
8x = 180 + 28
8x = 208
Divide both sides by 8
x = 208/8
x = 26
Also:
(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)
Plug in the value of x and solve for y
2y + 5 + 90 + 3(26) - 11 = 180
2y + 5 + 90 + 78 - 11 = 180
Collect like terms
2y + 162 = 180
Subtract 162 from both sides
2y = 180 - 162
2y = 18
y = 9 (dividing both sides by 2)
what place value are the 8s in 888,000?
Answer:
1,000
10,000
100,000
Step-by-step explanation:
Can somebody help me and show yo work please
Answer:
17
Step-by-step explanation:
A= 5 B= 3 C=4
Substitute each number to the right letter
4 + (5^2 + 3) -15
Square 5
4 + (25 + 3) -15
Do parentheses first
4 + 28 - 15
32 - 15
Answer = 17
Sabas dance class is 3 miles from her home
Find the midpoint of segment AB A(-7,6) B(4,-2)
Answer:4,05
Step-by-step explanation:
Random sampling eliminates_____
in choosing a sample.
Answer:
bias by giving all individuals
Step-by-step explanation:
Answer:
Hey!
I think your answer should definitely be BIAS
Step-by-step explanation:
Picking a choice RANDOMLY removes the likelihood of the person picking BEING BIASED as they have no view / analysis of the options!
I HOPE THIS HELPS!!
A line passes through point (-6, -1) and is parallel to the equation y2x-5.
What's the equation of the line?
Answer:
Step-by-step explanation:
x2 can be combined with X?
Answer:
Your first instinct might be to go ahead and add the x terms together, BUT this would be a bad thing to do! You cannot combine the x2 and 2x, because the first term has an exponent (2) and the second one does not have an exponent; therefore, you cannot add them together!
Step-by-step explanation:
Answer:
Not sure if you mean multiplying or adding by "combine". But generally the rule of thumb with exponents is when you are adding and they are not like terms, you cannot combine the two terms together. So in other words, they would be left as x²+x. However, when you are multiplying you can add the exponents together. So, it will be like this: x²·x = x³
If two opposite sides of a square are increased by 8 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 68 square meters. Find the area of the original square.
Answer:
21
Step-by-step explanation:
8 * 2 = 16
5 * 2 = 10
68 - 16 = 52 - 10 = 42.
The perimeter of the square is 42.
42 / 4 = 10.5. 10.5 is the length of a side.
10.5 * 2 = 21.
Neil are 99% of the pizza. Did Neil eat the Entire Pizza? Yes or No
Answer:
No
Step-by-step explanation:
100 - 99 = 1.
He left 1% of pizza.
Therefore, the answer is no.
Answer:
no ◇◇
Step-by-step explanation:
I hoped I helped ◇◇
Arian is making bracelets. For each bracelet, it takes 1/10 of hour to pick out materials and 1/4 hour to braid it together. How many bracelets can Arian make in 5 hours?
I know this is easy math but I couldn't understand a thing my math teacher was talking about when we learned this.
In 5 hours Arian can make 14 Bracelets.
What is unitary method ?Unitary method is first obtaining the value of a single unit and then deriving any given unit given.
According to the given question Arian is making bracelets.
It takes 1/10 of hour to pick out materials and 1/4 hour to braid it together.
∴ To completely make a bracelet it will take ( 1/10 + 1/4 ) hours which is
= 7/20 hours OR (7/20)×60 minutes = 21 minutes.
5 hours is = 5×60 = 300 minutes.
So, in 21 minutes he makes 1 bracelet.
In 300 minutes he can make (300/21) Bracelets which is
= 14.28 Bracelets.
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