Isolate b1 in the equation A=12h(b1+b2) by first subtracting 12h*b2 from both sides and then divide both sides by 12h. The result is b1 = (A - 12h*b2) / 12h.
Explanation:In order to solve the equation A=12h(b1+b2) for b1, we need to isolate b1. We begin by subtracting the product of 12h times b2 from both sides of the equation. This gives us A-12h(b2) = 12h(b1).
Next, we divide both sides of the equation by 12h to solve for b1, resulting: b1 = (A - 12h*b2) / 12h.
So, if you can determine the values of A, b2, and h from your problem, you can substitute those in to get your solution for b1.
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Kristen and Sam notice that the means of their scores for the first marking period were the same. Kristen commented that the standard deviation of her scores was 8.4 while the standard deviation of Sam's was 4.8. Which statement must be true?
Using the following data, calculate the mean absolute deviation: 7 2 8 5 9 9 5 6 8 1 What is the mean absolute deviation for these data? (4 points)
A. 2.2
B. 6
C. 6.5
D. 8
Answer:
Option A - 2.2
Step-by-step explanation:
Given : Data 7, 2, 8, 5, 9, 9, 5, 6, 8, 1.
To find : What is the mean absolute deviation for these data?
Solution :
Step 1 - Calculate the mean of the data,
[tex]M=\frac{\sum x_n}{n}[/tex]
[tex]M=\frac{7+2+8+5+9 +9+5+6+8+1}{10}[/tex]
[tex]M=\frac{60}{10}[/tex]
[tex]M=6[/tex]
The mean is 6.
Step 2 - Calculate the distance between each data point and the mean.
Data points Distance from mean
7 |7-6| = 1
2 |2-6| = 4
8 |8-6| = 2
5 |5-6| = 1
9 |9-6| = 3
9 |9-6| = 3
5 |5-6| = 1
6 |6-6| = 0
8 |8-6| = 2
1 |1-6| = 5
Step 3 - Add all the terms of distance from mean
X=1+4+2+1+3+3+1+0+2+5=22
Step 4 - Apply mean absolute deviation formula,
[tex]MAD=\frac{\sum X}{n}[/tex]
[tex]MAD=\frac{22}{10}[/tex]
[tex]MAD=2.2[/tex]
Therefore, Option A is correct.
The mean absolute deviation is 2.2.
all tickets for a concert are the same price.the ticket agency adds a fixed fee to every order.a person who orders 5 tickets pays $93.a person who buys 3 tickets pays $53
The question can be solved using a system of linear equations. The price of each ticket is found to be $20, and the fixed fee added by the ticket agency is $13.
Explanation:The subject of this question concerns solving a system of linear equations. Given the two scenarios, buying 5 tickets for $93 and buying 3 tickets for $53, we can represent these as equations where 't' represents the price of a ticket and 'f' represents the fixed fee. The equations thus become:
5t + f = 933t + f = 53
To solve this system of equations, we could subtract the second equation from the first, which would eliminate 'f' and yield an equation only in terms of 't'. This would look like:
2t = 40
From here, we can see that t (the price of each ticket) equals $20. We can then substitute 't' into one of the equations to find the fixed fee 'f', which in this case equals $13.
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what does n÷6 is??????
Which sign makes the statement true 16/25 or 64%
The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 3 feet. Approximately, how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth.
7.1 square feet
9.4 square feet
18.8 square feet
28.3 square feet
Answer:
7.1 square feet
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
In order to solve this we will need the formula that calculates the Area of a Circle. The formula is the following,
[tex]A = \pi r^{2}[/tex]
Where:
A is the area of the circler is the radius of the circleWe are given the diameter of the circle in the question but based on the formula we need the radius. The radius is half of the diameter. Therefore,
[tex]r = 3ft / 2[/tex]
[tex]r = 1.5[/tex]
Now that we have the radius we can plug it into the formula to find the area of the circle.
[tex]A = \pi 1.5^{2}[/tex]
[tex]A = \pi 2.25[/tex]
[tex]A = 7.06 [/tex]
Based on the calculations above we can see that 7.1 [tex]ft^{2}[/tex] (rounded to the nearest tenth) needs to painted
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
The cage is 4 feet tall, 22 inches, wide, and 2 yards long. What is the volume of the cage in cubic inches?
Find the missing angle
Which statement is true about the parts of this expression?
7.5y - z/9 + 50 +2y
A) The constant is 7.5.B) The coefficients are 7.5 and -9.C) The variables are x and y.D) The like terms are 7.5y and 2y.
Answer:
D
Step-by-step explanation:
a=false
b=false
c=false
d=true
edge.
what is the volume of the right prism? ______ft3
What is the value of x? Show all of your work.
Help Please! :)
(Photo down below,)
(Key Words: √177, 6)
Answer:
qwerty
Step-by-step explanation:
which expression represents the perimeter of the model shown below? PLEASE HELP
Can you please help me with this one please
The volume of this box is indeed 84 in^3. What were you looking for beyond that?
Base: (7 in)(3 in) = 21 in^2
Height: 4 in
volume = (21 in^2)(4 in) = 84 in^3 (answer)
a bag contains 20 pink marbles and 12 yellow marbles. you choose a marble at random. what is the probability of selecting a pink marble?
please help me write the equation for the problem below
——————————————
A chess club has 500 members but is losing 30 members each year. A computer club has 150 members and is gaining 20 members per year. Wrote and solve an equation to find the number of years it will take for the two clubs to have the same number of members.
How much sugar is there in 100g of 15% sugar syrup?
In 100g of 15% sugar syrup, there is 15g of sugar.
Sugar SyrupSugar syrup is a thick viscous liquid that mostly contains water and dissolved sugar in it. therefore, a 20% sugar syrup means having a 20:80 ratio of sugar and water in a unit of sugar syrup.
Given to us,100g of sugar syrup 15% sugar,
Now, 15% of sugar means having a 15:85 ratio of sugar and water in 100g of sugar syrup. Let the sugar in 100g of sugar syrup be x. so, the water in the syrup is (100-x), therefore,
[tex]\bold{\dfrac{15}{85} = \dfrac{sugar}{water}}[/tex]
Substituing the values we get,
[tex]\dfrac{15}{85} = \dfrac{x}{100-x}\\\\15\times(100-x) = 85x\\1500 - 15x = 85x\\1500 = 85x +15x\\1500 = 100 x\\\\x = \dfrac{1500}{100}\\\\x = 15[/tex]
Hence, In 100g of 15% sugar syrup, there is 15g of sugar.
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Which expression is NOT equivalent to 8 times −5 and 1/4?
Drag this expression to the box.
Answer:
Step-by-step explanation:
Daniel gets a weekly $10 allowance. He has swimming class once a week and pays a $1.50 pool fee. After class, he sometimes goes out to eat with friends and spends $5 to $10. He is saving up for new swim trunks and sets aside $2.50 per week. Every few weeks, he goes to a swim meet in another town and spends $3 to $9 on bus fare.
This month, Daniel went out with friends and spent $8.50 for lunch. He went to 2 swim meets and spent $7 on bus fare each time. What are this month’s totals of his fixed and variable expenses?
fixed expenses total: $ ___
variable expenses total: $ ___
We have been given that Daniel's weekly allowance is $10 and we have to figure out his monthly fixed and variable expenses. To tackle this problem we have to figure out what are fixed expenses and what are variable expenses.
Fixed expenses are not going to vary as they are fixed. We have been given that Daniel has swimming class once a week and pays a $1.50 pool fee. Daniel is also saving for a new swimming trunks and sets aside $2.50 per week.
Variables expenses vary in a given range. We have been given that Daniel sometimes goes out to eat with friends and spends $5 to $10. Daniel goes to a swim meet in another town and spends $3 to $9 on bus fare.
Now let us find monthly fixed expenses first. [tex]1.50+2.50[/tex] are his weekly fixed expenses. To figure out monthly expenses we will multiply weekly expenses by 4 because a month has four weeks.
Monthly fixed expenses=[tex]4\times (1.50+2.50)=4\times 4=16[/tex]$
Now we will figure out monthly variable expenses. We have been given that Daniel has spent $8.50 for lunch and gone for two swim meets costing $7 each.
Monthly variable expenses=[tex]8.50+2\times 7=8.50+14=22.50[/tex]$
Two cyclists leave town at the same time on the same road going in the same direction. Cyclist a is going 6 miles per hour faster than cyclist b. After 8 hours, cyclist a has traveled three times the distance as cyclist b. Use the equation 24x= 8(x+6) to find how fast cyclist b was traveling.
Answer:
3 mph
Step-by-step explanation:
Two cyclists leave town at the same time on the same road going in the same direction.
Cyclist A is going 6 mph faster than cyclist B
Let speed of cyclist B be x mph
Speed of cyclist A be (x+6) mph
Both cyclist leave town at the same time and traveled 8 hours.
Distance covered by cyclist A in 8 hours= 8(x+6)Distance covered by cyclist B in 8 hours= 8xAfter 8 hours cyclist A has traveled 3 times the distance as cyclist B
Therefore, 8(x+6) = 3(8x)
8x + 48 = 24x
24x - 8x = 48
16x = 48
x = 3 mph
Hence, The speed of cyclist B was 3 mph
Jen makes necklaces by stringing different color beads each necklace is 18 in Long Jen has an 86 inch length of beaded string how many necklaces can she make
find the difference. express your answer in simplest form. (5s/s^2-10s+25) - (25/s^2-10s+25)
HELP ASAP!!
The graph shows one of the linear equations for a system of equations. Which equation represents the second linear equation for the system of equations that has the solution which corresponds to a point at (2, 0)?
A) -x - 3y = 2
B) x + 3y = -2
C) 5x + y/2 = 10
D) 5x + y/2 = -10
Answer:
c
Step-by-step explanation:
Find the area of the trapezoid to the nearest tenth.
Choose the proper rationale. “In the compound interest equation, time (the variable t) has the biggest effect on the outcome because...”
A. Time is usually the largest number in the equation.
B. Time uses the largest units (years are bigger than dollars or percentages).
C. Time is an exponent while other units are factors.
D. Time is the independent variable
Answer:
the answer is c
Step-by-step explanation:
C equals 5/9 F32 the nearest whole degree what is the temperature in the degrees Fahrenheit when it is 90 degrees Celsius
The temperature in degrees Fahrenheit when it is 90 °C is approximately 194 °F. Therefore, option d is the correct answer.
Let's use the correct formula [tex]F = \frac{9}{5}C +32[/tex] to find the temperature in degrees Fahrenheit when it is 90 °C.
[tex]F = \frac{9}{5} *90+32[/tex]
Now, let's calculate:
[tex]F = \frac{9}{5} *90+32[/tex]
F=162+32
F=194
Therefore, the temperature in degrees Fahrenheit when it is 90 °C is approximately 194 °F.
So, the correct answer is D. 194 °F.
PLEASE HELP!!!!!!
Of all students, calculate the relative frequency for males who carpool.
0.204
9
33
0.088
Answer:
It's 0.088.
Step-by-step explanation:
So the males who carpool is 9 right? Well relative frequency is the frequency divided by the total. So we must divide 9 by 102.
9÷102 = 0.088
Find the product of 2x4(2x2 + 3x + 4)
Answer:
The answer is 4x^6 + 6x^5 + 8x^4
Step-by-step explanation:
2x^4(2x^2 + 3x + 4) Note: You add the exponents for multiplactation
4x^6 + 6x ^5 + 8x^4 Note: the exponent is 5 instead of 4 for the 2nd :) term of the soultion because there is a x on 3
I hope this helps you
Need help with this question: Write the equation of the parabola with focus (5,2) and directrix x=1
4 times x plus 2 is at most 10
what is the answer to 5+2x10
We are given expression : 5+2x10.
It can be read as 5 plus 2 times 10.
Now, we need to see, what operation should carry out first.
Please note: We always follow the order of operations.
The order of operations could be follow by the rule PEMDAS.
It stands for Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
We don't have Parentheses, Exponents in the given problem.
So, we would start order of operations: first multiplication and then addition.
So, we need to multiply 2 × 10 first.
2 × 10 = 20.
Now, we need to apply addition operation.
Therefore, 5+2x10 = 5+20.
On adding 5 and 20, we get 25.
So, the final answer is 25.
Answer:
25 (assuming the x means multiplication)
Step-by-step explanation:
Start by using PEMDAS (Parenthesis, exponents, multiplication and division from right to left, addition and subtraction from right to left) you would start with multiplication or 2x10 which is 20 and then you have 5+20 left and that is obviously just 25