Answer:
20
Step-by-step explanation:
22+8=30
30-10=20
ur welcome
NK Karate Club offers two different fees for their karate classes. Club members are charged a one-time membership fee of $32 and pay $4 per class. Non-members pay $8 per class. Let y represent the number of karate classes attended.
a. Write an expression to represent the cost for a non-member to attend y classes.
b. Write an expression to represent the cost for a member to attend y classes.
c. Set the two expressions equal to each other and solve the equation to determine how many classes result in the same cost for a member and non-member.
Answer:
a) x = 8y
b) x = 32 + 4y
c) 8y = 32 + 4y
Step-by-step explanation:
-4y -4y
8y = 32 + 4y
÷4 ÷4
4y = 32
y = 32
The expression represents the cost for a non-member to attend y classes is x=8y.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, Club members are charged a one-time membership fee of $32 and pay $4 per class. Non-members pay $8 per class.
Let y represent the number of karate classes attended.
a) The cost for a non-member to attend y classes is
Non-members pay $8 per class.
So, the expression is 8y
b) The cost for a member to attend y classes is
Club members are charged a one-time membership fee of $32 and pay $4 per class.
Now, the expression is 32+4y
c) Set the two expressions equal to each other, that is
8y =32 + 4y
8y-4y=32
4y=32
y=8
Therefore, the expression represents the cost for a non-member to attend y classes is x=8y.
To learn more about an expression visit;
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A population of 384 prairie dogs live in an area of 16 km2. What is the the population density?
Question 13 options:
368 prairie dogs/km2
400 prairie dogs/km2
4 prairie dogs/km2
24 prairie dogs/km2
6184 prairie dogs/km2
Answer:
[tex]24[/tex] prairie dogs per square kilometer
Step-by-step explanation:
To find the population density, simply divide the population by the area they live in. In this case, the population is [tex]384[/tex] prairie dogs and they live in an area of [tex]16[/tex] km². Therefore, the population density is [tex]\frac{384}{16} = \bold2\bold4[/tex] prairie dogs per square kilometer. Hope this helps!
Please help, hard question
Answer:
6, 24, 96, 384
Step-by-step explanation:
start with 6 and multiply each successive term by 4
ms.vellejo has these cans of soup in her cabinet 1 can of tomato soup 4 cans of chicken soup 3 cans of cheese soup 2 cans of beef soup ms.velljo will randomly choose one can of soup what is the probililty that she will choose a can of beef or chicken soup
Answer:
There is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
Step-by-step explanation:
Since Ms. Vellejo has 1 can of tomato soup, 4 cans of chicken soup, 3 cans of cheese soup and 2 cans of beef soup in her cabinet, and she will randomly choose one can of soup, to determine what is the probililty that she will choose a can of beef or chicken soup, the following calculation must be performed:
1 + 4 + 3 + 2 = 10
Beef soup = 2 cans = 2/10 = 0.2 = 20%
Chicken soup = 4 cans = 4/10 = 0.4 = 40%
20 + 40 = 60
Thus, there is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
The population of largemouth bass in a pond is decreasing at the rate of 10% per year. If the population of largemouth bass is 5,000 this year, what will the population be in 16 years?
Answer:
Population after 16 year = 927 people (Approx.)
Step-by-step explanation:
Given:
Decrease rate = 10% per year
Current population = 5,000
Find:
Population after 16 year
Computation:
A = P[1-r]ⁿ
A = 5,000[1-0.1]¹⁶
A = 5,000[0.9]¹⁶
A = 5,000[0.1853]
A = 926.51
Population after 16 year = 927 people (Approx.)
( EXTRA POINTS PLEASE HELP ) in a triangle the value of (h) is 3/4 the side length which is 4.8 measure meters was that area of the triangle
Step-by-step explanation:
[tex]h = \frac{3}{4} 4.8 \ = \\ = 3 \times 1.2 = 3.6[/tex]
[tex]area = \frac{3.6 \times 4.8}{2} = \\ = 3.6 \times 2.4 = \\ = 8.64[/tex]
I NEED HELP PLEASE RIGHT NOW
Answer:
Average is 2 hours
Find the equation for the line shown on the right.
What is the equation for the line shown on the right?
(Simplify your answer. Type your answer in standard form, using integer
coefficients with A20.)
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
The line graph
First, consider the following points on the graph.
[tex](x_1,y_1) = (8,0)[/tex]
[tex](x_2,y_2) = (8,8)[/tex]
First, calculate the slope.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8-0}{8-8}[/tex]
[tex]m = \frac{8}{0}[/tex]
[tex]m =[/tex] undefined
Since, the slope is undefined; we simply consider only the value of x.
The line equation is:
[tex]x = 8[/tex]
A baker has determined that four every
4 pounds of flour, she can make 6
loaves of bread.
what is 2/3 - 5/12 equal to
Answer:
8/12-5/12=3/12 or 1/4 :)
Answer:
1/4 = 0.25
Step-by-step explanation:
2/3 - 5/12
Least common multiple of 3 and 12 is 12. Convert 2/3 and 5/12 to fractions with denominator 12.
8/12 - 5/12
Since 8/12 and 5/12 have the same denominator, subtract them by subtracting their numerators.
8-5/12
Subtract 5 from 8 to get 3.
3/12
Reduce the fraction 3/12 to lowest terms by extracting and canceling out 3.
1/4
Square root X less than or equal to 10
Answer:
It could be restated as [tex]\sqrt{x} \leq[/tex] 10, if that's what the question asked.
which of the following is a quadrantal angle
Question:
Which of the following is a quadrantal angle?
a) π/2 b) π/3 c) 2π/3 D) 4π/5
Answer:
[tex](a)\ \frac{\pi}{2}[/tex]
Step-by-step explanation:
Required
Which of a to d is a quadrantal angle
An angle is said to be quadrantal if and only if the angle has its terminal side on the x or y axis.
Such angles (in degrees) are: 90, 180, 270, etc.
So, we have:
[tex](a)\ \frac{\pi}{2}[/tex]
[Convert to degrees]
[tex]\frac{\pi}{2} = \frac{180}{2}[/tex]
[tex]\frac{\pi}{2} = 90[/tex]
Hence:
[tex](a)\ \frac{\pi}{2}[/tex] is a quadrantal angle
The other options are not.
The graph below shows the number of tickets that a movie theater sold over a four week period.
If the theater continues selling tickets at the same rate, how many tickets do you predict they will sell during the 6th week?
A. 520 tickets
B. 590 tickets
C. 660 tickets
D. 730 tickets
Answer:
Actually, the correct answer is B: 590.
Step-by-step explanation:
I got right on the test. That's your proof there!
Raina received a $90 gift card for a coffee store. She used it in buying some coffee that's cost $7.38 per pound. After buying the coffee, she had $53.10 left on her card. How many pounds of coffee did she buy?
Answer:
5 lbs
Step-by-step explanation:
90 - 53.10 = 36.90
She spent $36.90 on coffee. Since it cost $7.38 per pound, we can divide the total cost by 7.38 to figure out how many pounds she bought:
36.90 / 7.38 = 5
Raina bought 5 pounds of coffee.
9x+10y =1 9x-6y=-15 solve using elimination
Answer:
I. x = -1
II. y = 1
Step-by-step explanation:
Given the following algebraic expressions;
9x + 10y = 1 .......equation 1
9x - 6y = -15 ......equation 2
To solve using the elimination method, we would subtract eqn 1 from eqn 2.
(9x - 9x) + (-6y - 10y) = (-15 - 1)
0x - 16y = -16
-16y = -16
16y = 16
y = 16/16
y = 1
Next, we would find the value of x;
From eqn 1;
9x + 10y = 1
Substituting the value of y, we have;
9x + 10(1) = 1
9x + 10 = 1
9x = 1 - 10
9x = -9
x = -9/9
x = -1
Use the Cross Products Property to solve x/35 = 2/7.
Answer:
x = 10
Step-by-step explanation:
Set up:
[tex]\frac{x}{35} = \frac{2}{7} \\[/tex]
Cross multiple:
7x = 70
Divide by 7
x = 10
Can someone please help me with just these two thanks I will give a brainliest to the correct answers
Answer:
7. [tex]c = 15.81[/tex]
8. [tex]b = 16[/tex]
Step-by-step explanation:
Required
Determine the third sides
(7): We have
[tex]b = 5[/tex]
[tex]a = 15[/tex]
[tex]c=??[/tex]
To find c, we make use of Pythagoras theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]c^2 = 5^2 + 15^2[/tex]
[tex]c^2 = 250[/tex]
[tex]c = \sqrt{250[/tex]
[tex]c = 15.81[/tex]
(8): We have
[tex]c = 20[/tex]
[tex]a = 12[/tex]
[tex]b = ??[/tex]
To find c, we make use of Pythagoras theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]20^2 = 12^2 + b^2[/tex]
[tex]400 = 144 + b^2[/tex]
[tex]b^2 = 400 - 144[/tex]
[tex]b^2 = 256[/tex]
[tex]b = \sqrt{256[/tex]
[tex]b = 16[/tex]
12. What is 5% of 210?
Answer:
10.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
10.5
If you invest 3,500 in a savings account that pays 4% simple interest how much will the new balance be after including interest?
Answer:
New balance = 3640
Step-by-step explanation:
Given the following data;
Interest rate = 4% = 4/100 = 0.04
Principal = 3500
To find the new balance;
First of all, we would find the amount at the interest rate;
New amount = interest rate * principal
New amount = 0.04 * 3500
New amount = 140
Now, to find the new balance;
New balance = principal + new amount
New balance = 3500 + 140
New balance = 3640
LifeCharge Batteries claims that their batteries last an average of 210 hours when used in a hand held gaming system, with a standard deviation of about 9 hours. An independent quality control company took a sample of 34 batteries, and used the same hand held gaming system that LifeCharge used to record the time the batteries lasted.
1. Assuming the claim is true, what is the probability that the value of the sample mean is greater than 251.7 hours.
2. The sample mean was found to be 251.7, what does this say about the claim?
A. The sample mean is quite far off from the mean claimed, casting doubt on the current mean.
B. The sample mean is sufficiently close to the mean claimed, supporting the current mean.
C. The sample mean found does not truly support nor cast doubt on the current mean.
Answer:
The answer is "0.0023 and Choice a"
Step-by-step explanation:
In point a:
The central limit theorem:
[tex]\mu_{X}= 250\\\\\sigma_{X}=\frac{\sigma}{\sqrt{n}}=\frac{6}{\sqrt{100}} =0.6\\\\P(\bar{X}>251.7)\\\\=P(z>\frac{251.70-250}{0.6})\\\\=P(z>2.83)\\\\=1-0.9977\\\\=0.0023[/tex]
In point b:
The chance is lower than 0.05. This means that it is very rare to see the average sample above 251.8 if the argument is valid, that is why the means of the sample is far away from the common claimed and casts doubt on the actual mean.
15% of customers that come to your
taco truck order two tacos. If 300 guests
come to your store, how many of them
will you expect to order two tacos?
Answer:
Number of customers (double taco)= 45
Step-by-step explanation:
Giving the following information:
Double taco order rate= 15% = 0.15
Total number of customers= 300
To calculate the number of customers that order two tacos, we need to use the following formula:
Number of customers (double taco)= Double taco order rate*total number of taco
Number of customers (double taco)= 0.15*300
Number of customers (double taco)= 45
What is the expression resulting from the following diagram?
3x)
Drop Down 1]
-2x-5
[Drop Down 2]
-4/11
[Drop Down 3]
[Drop Down 1)
Select a Value
Drop Down 2]
Select a Value
Drop Down 3]
Select a Value
Answer:
1. -12x^8
2. 8x^6
3. 16x^11
Step-by-step explanation:
The required values for the given table are -12x⁸, 8x⁶ and 16x¹¹ respectively. To understand the calculations, check below.
Multiplication table:The given table represents the Multiplication table.
To fill the table we need to multiply the corresponding elements of that cell of the table.
For drop-down 1,
[tex](-4x^{11})\times (3x^{-3})=(-4\times 3)x^{11-3}[/tex]
[tex](-4x^{11})\times (3x^{-3})=-12x^{8}[/tex]
For drop-down 2,
[tex](-4x^{11})\times (-2x^{-5})=(-4\times (-2))x^{11-5}[/tex]
[tex](-4x^{11})\times (-2x^{-5})=8x^{6}[/tex]
For drop-down 3,
[tex](-4x^{11})\times (-4)=(-4\times (-4))x^{11}[/tex]
[tex](-4x^{11})\times (-4)=16x^{11}[/tex]
Therefore, the required values are -12x⁸, 8x⁶ and 16x¹¹ respectively.
Find out more about 'Multiplication table' here:
https://brainly.com/question/17211095
In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284?
Brenda is trying to save money. She learned that her bank would pay her 5% on her money in her savings account if she had at least $1,000 in it. Brenda had $2,345 in her savings account at the end of the year. How much interest did Brenda get from her bank.
A) $117.25
B) $1,172.59
C) $1.72
D) $17.25
Answer:
117.25
Step-by-step explanation:
Which expression is equal to 45x4-7: 4-2
Answer:
173
Step-by-step explanation:
45(4)-7
180-7
173
A scale drawing of a house uses a scale of 0.5 inches = 2 feet what is the length in inches of a line on the scale drawing that represents an actual length of 5 feet.
Answer:
We can use ratios for solve this problem
Cross multiply to get:
Lastly, divide both sides by 2 to isolate x
The line will be 1.25 inches
Hope this helps!
P.s. can I get Brainliest?
The building below is shown to scale; for every 1 inch of drawing, it is 5 feet in actual distance. The exterior surface area of the building is 250,000 square feet. What is the exterior surface area of the model?
Answer:
50,000 square inches
Step-by-step explanation:
1:5 ratio so 250,000/5=50,000
Easy easy easy point easy please explain and make it quick as possible
Answer:
--
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.
a. (3/4)*7=(3*7)/4
b. 7*(3/4)=(7*3)/4
c. 3*(7/4)=(3*7)/4
when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.
Answer:
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.a. (3/4)*7=(3*7)/4b. 7*(3/4)=(7*3)/4c. 3*(7/4)=(3*7)/4when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.
John will rent a car for the weekend. He can choose one of two plans. The first plan has an Initial fee of $51 and costs an additional $0.12 per mile driven. The second plan has an initial fee of $46 and costs an additional $0.14 per mile driven. For what amount of driving do the two plans cost the same? miles What is the cost when the two plans cost the same?
Answer:
The first plan has an initial fee.
The first plan has an initial fee of $51 and costs an idditional $0.11 per mile driven.
Step-by-step explanation:
6. Find the measure of angle x, y and z.
7. Find the measure of x.
Answer:
6. y = 76
x,z = 180 - 76 = 104
7.
2x = 74
x = 74 ÷ 2 = 37