All three candles will be 6 centimeters tall after 4 hours of burning.
To determine when all three candles will be 6 centimeters tall, we can set up equations for each candle and solve for the time it takes to reach the desired height.
For the taller candle, we can set up the equation:
16 - 2.5t = 6,
where t represents the number of hours.
Similarly, for the shorter candle:
12 - 1.5t = 6.
And for the middle candle:
15 - 2.25t = 6.
Simplifying each equation, we have:
-2.5t = -10,
-1.5t = -6,
-2.25t = -9.
Solving for t in each equation, we find:
t = 4 for the taller candle,
t = 4 for the shorter candle,
t = 4 for the middle candle.
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How many fourths are in two wholes? Use a fraction model to help you. Show two whole divided into four equal pieces. 2 dived by 1/4
What is the solution to the system of equations? { 4x−3y=26 3x+2y=11
Do b. I will say thanks
What is the coefficient of the x9y-term in the binomial expansion of (2y + 4x3)4? 4 32 128 512
Answer:- 512
Explanation:-
We know that [tex](m+1)^{th},\ (T_{m+1})[/tex] in the binomial expansion [tex](p+q)^n[/tex] is given by
[tex]T_{m+1}=^nC_m\ p^{n-m}q^m[/tex]
Assume that [tex]x^9y[/tex] occurs in the [tex](m+1)^{th}[/tex] term of the expansion of [tex](2y+4x^3)^4=(4x^3+2y)^4[/tex]
[tex]T_{m+1}=^4C_m\ (4x^3)^{4-m}(2y)^m[/tex]
Comparing power of x and y in [tex]x^9y[/tex] we get m=1
Thus term for m=1 [tex]=\ ^4C_1\ (4x^3)^{3}(2y)^1=^4C_1=\frac{4!}{(4-1)!1!}(64x^9)(2y)=4(128x^9y)=512x^9y[/tex]
Thus the coefficient of [tex]x^9y[/tex] is 512.
The perimeter of a rectangle is 24cm. If the length in y cm, what is the width?
Find an equation for the line with slope m through the point (a,c).
The equation of a line with a given slope and passing through a point can be found using the point-slope formula.
To find the equation of a line with a given slope (m) passing through a point (a, c), we can use the point-slope formula. The point-slope formula is given by:
y - c = m(x - a)
where (x, y) represents any point on the line. This equation represents a line with slope m passing through the point (a, c).
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What percent of 86 is 50 to the nearest whole percent
Answer:
58%
Step-by-step explanation:
Let us suppose x percent of 86 is 50.
Therefore, we have the below equation
x% of 86 = 50
Eliminating percentage, we get
0.0x × 86 = 50
Solve for x
[tex]0.0x\times86=50\\\\0.0x=\frac{50}{86}\\\\x=\frac{50}{86}\times100\\\\x=58.1[/tex]
Hence, in nearest whole percent, we have
x = 58%
Therefore, 58% of 86 is 50
you are biking at a speed of 18mph. you are 3 miles behind your friend, who is biking at a speed of 12mph. write and solve an equation to find the amount of time it takes for you to catch up to your friend
Carly has 2 more nickles than dimes in her pocket She has 40 cents How many nickels does carly have ? how many dimes does carly have?
Carly has 2 dimes and 4 nickels in her pocket.
Explanation:Let's assume Carly has x dimes in her pocket. Since Carly has 2 more nickels than dimes, she would have x + 2 nickels. The value of x dimes is 10x cents and the value of (x + 2) nickels is 5(x + 2) cents. Since Carly has 40 cents in total, we can set up the equation: 10x + 5(x + 2) = 40.
Simplifying the equation gives us: 10x + 5x + 10 = 40. Combining like terms gives us: 15x + 10 = 40. Subtracting 10 from both sides gives us: 15x = 30. Dividing both sides by 15 gives us:
x = 2.
Therefore, Carly has 2 dimes and 4 nickels.
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Micheal works 15.5 hours each week of a music store. He earns $9.48 per hour. How much does Micheal earn each week?
Which equation can be used to find one or more factors of 26
The factors of 26 are one, two, 13 and 26. One and the number itself, in this case 26, are always factors. Since 26 is an even number, which means that it ends in zero, two, four, six or eight, it's evenly divisible by two. Two times 13 equals 26.
No numbers between two and 13 divide evenly into 26, so there are no more factors other than the four listed. Because two and 13 are both prime numbers, which are numbers that are only divisible by one and themselves, the prime factorization of 26 is 2 x 13. The prime factorization of a number refers to the prime numbers that multiply together to make that given numberwhat is the simplified form of 3abc divided by abc when abc does not equal zero
What property is 0+91=91
Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.
Answer:
The function is [tex]C(x)=7x[/tex]
Step-by-step explanation:
Given : Charles will babysit for up to 4 hours and charges $7 per hour.
To find : Write a function in function notation for this situation ?
Solution :
Let the work done by Charles in 'x' hour.
The charges is $7 per hour.
To create a function of x,
The cost function of 'x' hour is [tex]C(x)=7x[/tex]
Charles will babysit for up to 4 hours.
So, The cost for 4 hour is [tex]C(x)=7\times 4[/tex]
[tex]C(x)=\$28[/tex]
For what values of y:is the value of the fraction 7−2y /6 greater than the value of the fraction 3y−7 /12 ?
Answer:
y<3
Step-by-step explanation:
Do you do rsm lol
y<3 is the value.
What is inequality?In mathematics, an inequality is a relation that makes a non-equal assessment between two numbers or different mathematical expressions. Its miles are used most often to evaluate numbers at the quantity line by means of their size. There are several unique notations used to represent exceptional types of inequalities:
The notation a < b means that a is less than b.
The notation a > b approach that a is greater than b.
The range of y which will satisfy this inequality will result in the first fraction of a larger value as compared to the second fraction.
Multiplying both sides of an inequality by 12, we get:
12×10>12×3y-7/12
2(7-2y)>3y-7
14-4y3y-7
14+7>3y+4y
21> 7y
3>9
y<3
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what is square root of -36?
the square root of a negative number needs to end in I
so find the square root of 36 and add an I
sqrt(36) = 6
so sqrt(-36) = 6i
One winter night the temperature fell 16 degrees between midnight and 5 A.M. By 9 A.M.the temperature had doubled from what it was at 5 A.M. By noon, it had risen another 12 degrees to 30 degrees. What was the temperature at midnight?
The temperature at midnight was 25 degrees.
We have at one winter night the temperature fell 16 degrees between midnight and 5 A.M. By 9 A.M. the temperature had doubled from what it was at 5 A.M. By noon, it had risen another 12 degrees to 30 degrees.
We have to determine the temperature at midnight?
What is Temperature ?Degree of hotness or coldness measured on a definite scale is called Temperature. When the temperature of the body is high it is called hot body and when it is low it is called cold body.
According to the question -
Assume the temperature at mid - night be x and at 5 AM be y.
Then -
x - y = 16
At 9 A.M. , assume the temperature to be z. Then -
z = 2y
At Noon -
z + 12 = 30
z = 30 - 12
z = 18 degree
At 9 A.M., we have -
z = 2y
18 = 2y
y = 9 degrees
At mid - night, we have -
x - y = 16
x - 9 = 16
x = 25 degrees
Hence, the temperature at midnight was 25 degrees.
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To the nearest hundred thousand, there were 700,000 visitors to an amusement park las year which could be the exact number of visitors?
2.5 repeating as a mixed number
It takes Henry 3 hours to paint someone’s portrait how many hours would it take for him to paint all 8 of his friends’ portraits
If 20% of the science students at Central High study on physics, 25% study chemistry and the rest study only biology, what is the smallest number of science students who could be studying biology?
Given that 20% of students are studying Physics and 25% Chemistry, the rest, which is 55% are studying Biology. In the simplest case, where the total of students is 100, the smallest number of Biology students would be 55.
Explanation:The question asks us to identify the smallest possible number of students studying biology. Given that 20% of students study Physics and 25% study Chemistry, we can emphasize that the rest are studying Biology. In the simplest situation, the total number of science students could be 100 because percentages are based on 100. Therefore, for this case, 20 students are studying Physics, 25 are studying Chemistry, and the rest which is 55, are studying Biology. Thus, the smallest possible number of Biology students can be 55.
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Peyton is altering her new jacket to enter it into the Bodacious Bedazzling Contest. In order for a garment to be considered "bedazzled," it must contain an amount of gems that fall within the range of the following inequality 132 ≤ ½x + 8 ≤ 193. Find the range of gems Peyton must use to enter he jacket in the contest.
Answer:
the range will be 248 ≤ x ≤ 370
Step-by-step explanation:
The given inequality models the range of amount of gems.
132 ≤ 1/2x + 8 ≤ 193
So we have to solve the inequality for the value of x.
132 ≤ [tex]\frac{1}{2}x[/tex] + 8 ≤ 193
Now we subtract 8 from the inequality.
132 - 8 ≤ ([tex]\frac{1}{2}x[/tex] + 8) - 8 ≤ 193 - 8
124 ≤ [tex]\frac{x}{2}[/tex] ≤ 185
Now we multiply the inequality by 2
124 × 2 ≤ [tex](\frac{x}{2})[/tex] × 2 ≤ 185 × 2
248 ≤ x ≤ 370
So the range will be 248 ≤ x ≤ 370
round the factors to estimate the products. 697 x 82=
The product of 5 and a number x is 14 .
What is the value of x?
x=194
x=120
x=54
x=434
none of them.
Product means multiplication, so the product of 5 and a number means 5 times a number which is 5x
so if 5x = 14
x = 14/5 = 2.8
x = 2.8 which isn't a choice.
Answer:
The answer is B 1/20
Step-by-step explanation:
The word "Product" means multiplication, and we need to find the value of "x" here's an equation:
5 times x = 1/4
5 times 1/20 = 1/4
Hope this helped! :3
which of the following numbers that when divided by 1/2, give a result less than 1/2 ? select all that apply 3/8, 3/16,6/25,1/3
Answer:
theheckisthis thing
Step-by-step explanation:
how many times can 16 go into 50
Can rational numbers be expressed as a fraction of two integers
HELP ME ASAP!!!
Ralph ate 1/2 of a pie before dinner. After dinner he ate 1/3 of what was left. What fraction of the pie did he eat after dinner?
Answer:
1/6
Step-by-step explanation:
1/2 * 1/3 = 1/6.
the sophomore class is selling pies as a fundraiser. it cost the class $4 for each pie and they plan to sell the pies for $12 each. Write and solve an equation to determine how many pies does the class have to sell in order to make at least $200
Write a number greater than 714,587.