I dont know how to set it up. #20 solving equations with variables on both sides.
Answers
1) Cost = 5x + 60
2) Cost = 11x
Where x is the number of lessons.
Since we want to find the value of x (the number of lessons), we can set both equations equal to each other:
5x + 60 = 11x
Subtract 5x from both sides:
60 = 6x
Divide by 6:
x = 10
So it will take 10 lessons till a member and a nonmember pay the same amount.
Related Questions
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
Answers
Answer:
the answer is c
Step-by-step explanation:
Which point is a solution to the system of equations graphed below?
Answers
A circle has an area of 78.5 square inches. What is the diameter of the circle?
Answers
R^2•3.14=78.5
Let’s divide both sides by 3.14.
R^2=25
5•5
5
So the radius is 5. The diameter is double the radius. The diameter of the circle is 10.
To determine the diameter of a circle with an area of 78.5 square inches, we solve for the radius using the area formula (A = πr²). We find the radius to be 5 inches, and since the diameter is twice the radius, the diameter is 10 inches.
Explanation:The student has asked how to determine the diameter of a circle if the area is known to be 78.5 square inches. To find the diameter, we first need to calculate the radius using the area formula for a circle, which is A = πr², or area equals pi times the radius squared. Pi (π) is approximately 3.14159, but for most calculations, we can use 3.14 for simplicity.
To solve for the radius, we rearrange the formula to r² = A / π. Plugging in the given area of 78.5 square inches:
r² = 78.5 / 3.14 = 25
Next, we take the square root of both sides to find the radius: r = √25 = 5 inches.
Now that we have the radius, we can determine the diameter by multiplying the radius by 2, as the diameter is twice the length of the radius. Thus, the diameter of the circle is 10 inches.
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.
Answers
B) The coefficients are 7.5 and -9. FALSE. The coefficients are 7.5, -1/9 and 2. 50, being a constant, could be regarded as a coefficient in this case.
C) The variables are x and y. FALSE. There are three variables: x, y and z.
D) The like terms are 7.5y and 2y. TRUE. The variable (y) is the same in each term.
Answer:
D
Step-by-step explanation:
a=false
b=false
c=false
d=true
edge.
The sum of two numbers is 55. One number is 4 times as large as the other. What are the numbers? PLEASE HELP
Answers
Answer:
44 and 11
Step-by-step explanation:
The cage is 4 feet tall, 22 inches, wide, and 2 yards long. What is the volume of the cage in cubic inches?
Answers
4 ft × 12 = 48 in
2 yds × 36 = 72 in
Multiply 48 × 22 × 72 = 76032.
The volume of the cage is 76,032 in³.
Convert all the non inch measurements to inches.
4 feet [ 12 inches / 1 foot] = 48 inches [The feet as units cancel]
22 inches = 22 inches. No conversion needed.
2 yards [ 3 feet / yard ] * [ 12 inches / foot ] = 72 inches.
Step Two
Find the volume
V = L * W * H
V = 48 * 22 * 72
V = 76032 cubic inches. <<<<<< Answer
HELP ME PLEASE!!!!!!
The body of a 154-pound person contains approximately 2 X 10^-1 milligrams of gold and 6 X 10^1 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?
Answers
The number of milligrams of aluminium in the body is 300 times the number of milligrams of gold in the body.
Given amount of gold is = g = [tex]2 * 10^{-1}[/tex] mg.
Given amount of aluminium is = a = [tex]6*10^1[/tex] mg.
Let the number of milligrams of aluminium in the body is "k" times the number of milligrams of gold in the body.
So, a = kg
[tex]k=\frac{a}{g}\\k=\frac{6\cdot10^{1}}{2\cdot10^{-1}}\\k=300[/tex]
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The body of a 154-pound person contains approximately 300 times more milligrams of aluminum than milligrams of gold. This is found by dividing the amount of aluminum (60 milligrams) by the amount of gold (0.2 milligrams).
Explanation:To find out how many times the number of milligrams of aluminum is compared to that of gold in a 154-pound human body, we need to divide the amount of aluminum by the amount of gold. The problem states that there are 2 X 10^-1 milligrams of gold and 6 X 10^1 milligrams of aluminum. If we simplify these expressions, we get 0.2 milligrams of gold and 60 milligrams of aluminum.
Next step is to divide the number of milligrams of aluminum by the number of milligrams of gold. Hence, 60 ÷ 0.2 gives us 300.
Therefore, the body of a 154-pound person contains approximately 300 times more aluminum than gold.
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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?
Answers
there are 20 pink marbles
20/32 = 10/16 = 5/8 (simplified)
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
Answers
Answer:
c
Step-by-step explanation:
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
Answers
Use the formula of a circle. The radius is 1.5 and squared that is 2.25. Multiply that by 3.14 for your answer.
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.
C equals 5/9 F32 the nearest whole degree what is the temperature in the degrees Fahrenheit when it is 90 degrees Celsius
Answers
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.
what is the answer to 5+2x10
Answers
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
6 grade math plz help
Answers
B. She is incorrect.
A. First find out how many cupcakes each made. To do so, you multiply 8 by 60 to find how many minutes are in those 8 hours, then divide by the number of minutes it took for each batch.
Next you'd multiply the answer you get by the number of cupcakes in each batch, to get how many they made total.
After that, you find how many each of them sold.
Then, you multiply how many they sold, by how much each costed.
Finally, you subtract the smaller value from the larger value to find the difference, and who made the most money.
Lily: First, 8*60 = 480. Divide 480 by 10 (how long each batch took) to get 48. Multiply 48 by 7 to get how many cupcakes she made (336).
Next, divide 336 by 3, to get 112, then multiply by 2 to find how many she sold (2/3 of 336 = 224).
Then, multiply 224 by $1.29 to find how much she made ($288.96).
Layla: First, 8*60 = 480 and divide 480 by 12 (again, how long each batch took) to get 40.
Multiply 40 by 8 (cupcakes per batch) to get 320.
Divide 320 by 4 to get 80, then multiply 80 by 3 to get how many she sold (240).
Multiply $0.89 by 240 to get her total ($213.60).
Finally, subtract Layla's total from Lily's total to find out how much more Lily made.
B. Since Layla made 240 cupcakes, and she thinks selling each for a dollar will make her total larger than Lily's, multiply $1.00 by 240, to get $240.00, thus proving her hypothesis was incorrect.
I hope this helps!
what is the volume of the right prism? ______ft3
Answers
Length = 4 ft
Width = 4 ft
Height = 15 ft
Volume = 4 ft x 4 ft x 15 ft = 240 ft^3
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
Answers
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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a parking garage charges $2.00 for the first hour and $0.50 for each fraction of an hour thereafter. Which statement describes the relationship between the parking fee and the amount of time a person parks in the garage? A. the parking fee depends on the amount of time a person uses the garage B. The amount of time a person uses the garage depends on the parking fee C. the parking fee and the amount of time a person uses the garage are independent D. the relationship cannot be determined
Answers
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?
Answers
Standard Deviation is a measure of how much the scores vary on average from the mean value. A larger standard deviation signifies that values are away from the mean, a smaller standard deviation shows that the values are close to the mean.
Since the standard deviation of Sam's scores is lower as compared to that of Kristen, we can say that Sam's score were more closer to the mean value and were consistent.
So, option B is the correct answer
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: $ ___
Answers
Variable Expenses Total : $5.80
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.
Answers
16x=48
/16 /16
x=3
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
PLEASE HELP ME 19 POINTS What is the perimeter of quadrilateral MNOP ?
16 units
18 units
22 units
36 units
Answers
The value of the perimeter of quadrilateral MNOP is,
= 22 units
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
A quadrilateral MNOP is shown in figure.
M = (- 2, 2)
N = (2, 5)
O = (8, 5)
P = (4, 2)
Now, We can formulate;
MP = 6 units
PO = √(8 - 4)² + (5 - 2)²
PO = √ 25
PO = 5
Thus, The value of the perimeter of quadrilateral MNOP is,
= 2 (MP + PO)
= 2 (6 + 5)
= 2 x 11
= 22 units
So, The value of the perimeter of quadrilateral MNOP is,
= 22 units
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Find the product of 2x4(2x2 + 3x + 4)
Answers
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
Which expression is NOT equivalent to 8 times −5 and 1/4?
Drag this expression to the box.
Answers
Simplifying this problem is the same as the problem 8× - 6 3/4, not 8× -5 1/4.
Answer:
Step-by-step explanation:
Can you please help me with this one please
Answers
Base: (7 in)(3 in) = 21 in^2
Height: 4 in
volume = (21 in^2)(4 in) = 84 in^3 (answer)
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)
Simplify the expression
Answers
[tex] \frac{w^2-9}{w^2-4w-21}= \frac{w^2-3^2}{(w+3)(w-7)} = \frac{(w+3)(w-3)}{(w+3)(w-7)}= \frac{w-3}{w-7} [/tex]
We can conclude that the correct answer is the fourth one: [tex]\frac{w-3}{w-7}[/tex]
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
Answers
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.
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
Answers
86/18= 4.8
The answer is approximately 4.8, that Jen can only make 4 whole necklaces.
What is the value of x? Show all of your work.
Help Please! :)
(Photo down below,)
(Key Words: √177, 6)
Answers
[tex]x^2+6^2=(\sqrt{117})^2\\\\x^2+36=117\ \ \ |-36\\\\x^2=81\to x=\sqrt{81}\\\\\boxed{x=9cm}[/tex]
Answer:
qwerty
Step-by-step explanation:
Which sign makes the statement true 16/25 or 64%
Answers
Hope this helps :)
Mark as Brainliest please
find the difference. express your answer in simplest form. (5s/s^2-10s+25) - (25/s^2-10s+25)
Answers
1. You have the following expression:
(5s/s^2-10s+25) - (25/s^2-10s+25)
2. As you can see, they have the same denominator, therefore, you can rewrite it as below:
(5s-25)/ (25/s^2-10s+25)
3. When you factor ir, you obtain:
5(s-25)/(s-5)(s-5)
3. Simplifying:
5/(s-5)
how much green ooze was carried all??
Answers
Answer:
[tex]5[/tex] cups.
Step-by-step explanation:
We have been given a line plot, which represents the cups of green ooze. We are asked to find the total number of cups.
To find the total number of cups, we will add all the given quantities as shown below:
[tex]2\times\frac{1}{4}+2\times\frac{3}{8}+2\times\frac{1}{2}+3\times\frac{5}{8}+\frac{7}{8}[/tex]
[tex]\frac{2\times1}{4}+\frac{2\times3}{8}+\frac{2\times1}{2}+\frac{3\times5}{8}+\frac{7}{8}[/tex]
[tex]\frac{2}{4}+\frac{6}{8}+\frac{2}{2}+\frac{15}{8}+\frac{7}{8}[/tex]
Make a common denominator:
[tex]\frac{2\times2}{4\times2}+\frac{6}{8}+\frac{2\times 4}{2\times 4}+\frac{15}{8}+\frac{7}{8}[/tex]
[tex]\frac{4}{8}+\frac{6}{8}+\frac{8}{8}+\frac{15}{8}+\frac{7}{8}[/tex]
Add numerators:
[tex]\frac{4+6+8+15+7}{8}[/tex]
[tex]\frac{40}{8}[/tex]
[tex]5[/tex]
Therefore, there are [tex]5[/tex] cups of green ooze in all.