Answer:the number of washes after which 24 ounces will remain in the bottle is:
36 washes.
Step-by-step explanation:
The correct answer is 18.
To find the equation that can be used to determine the number of washes (x) after which 24 ounces of shampoo will remain in the bottle, we need to set up an equation based on the given information.
Given information:
- Initial amount of shampoo in the bottle (I) = 60 ounces
- Amount used per wash (U) = 2 ounces
- Remaining amount after x washes (R) = 24 ounces
[tex]I - (U \times x) = R[/tex]
[tex]60 - (2 \times x) = 24[/tex]
[tex]60 - 24 = 2x[/tex]
[tex]36 = 2x[/tex]
[tex]x = \frac{36}{2}[/tex]
[tex]x = 18[/tex]
Therefore, the equation that can be used to find x is:
[tex]60 - (2 \times x) = 24[/tex]
And the number of washes after which 24 ounces of shampoo will remain in the bottle is 18.
For a track meet, Tara ran the 1,600 m event at constant speed in 5 minutes and 20 seconds. What was her speed?
what is 5 1/2 × 2 1/3
A school has 18 left-handed students. If 8% of the total number of students in the school are left-handed, what is the total number of students in the school?
how many subsets of at least one element does a set of six elements have
Answer: The required number of subsets is 63.
Step-by-step explanation: We are given to find the number of subsets of at least one element that a set of six elements have.
We know that
the number of subsets of a set having n elements is given by
[tex]N=2^n.[/tex]
So, the number of subsets of the set having six elements will be
[tex]N=2^6=64.[/tex]
Since there is only one subset of every set that contains less than one element (that is the empty set), so
the number of subsets of the set with at least one element is given by
[tex]N-1=64-1=63.[/tex]
Thus, the required number of subsets is 63.
In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct?Check all that apply.m∠1 = 60°m∠13 = 80°m∠6 = 80°m∠5 = 60°m∠10 = 120°m∠ 14 = 100°
we are given
m∠3 = 120° and m∠12 = 80°
we will check all
Calculation of m∠1:
we can see that angles 1 and 3 are linear
so, their sum must be 180
m∠1+m∠3 = 180°
now, we can plug values
m∠1+ 120°= 180°
m∠1=60°
Calculation of m∠13:
we know that
angles 12 and 13 are alternate angles
so, they must be equal
m∠13=m∠12 = 80°
m∠13= 80°
Calculation of m∠6:
we know that
angles 3 and 6 are alternate angles
so, they must be equal
m∠3=m∠6 = 120°
m∠6= 120°
Calculation of m∠5:
we know that
angles 1 and 5 are corresponding angles
so, they must be equal
m∠1=m∠5 = 60°
m∠5= 60°
Calculation of m∠10:
we can see that angles 10 and 12 are linear
so, their sum must be 180
m∠10+m∠12 = 180°
now, we can plug values
m∠10+ 80°= 180°
m∠10=100°
Calculation of m∠14:
we know that
angles 10 and 14 are corresponding angles
so, they must be equal
m∠10=m∠14 = 100°
m∠14= 100°
Answer:
A, B, D, F
Step-by-step explanation:
Well to summarize what the previous person mentioned:
1 = 60
13 = 80
6 = 120
5 = 60
10 = 100
14 = 100
So given that information the correct answers are:
A, B, D, F
Two fair dice are rolled. what is the (conditional) probability that the first dice lands on an even number given that at least one of the dice lands on a 6?
The function given by Upper A left parenthesis t right parenthesis equals 0.0265 t cubed minus 0.444 t squared plus 1.774 t plus 8.76A(t)=0.0265t3−0.444t2+1.774t+8.76, 0 less than or equals t less than or equals 100≤t≤10, can be used to estimate the amount, in billions of dollars, invested by large oil companies in exploration for new reserves t years after 19951995. Find the relative extreme points, and sketch a graph of the function.
which pair of angles are corresponding angles
a. 1 and 2
b. 1 and 5
c. 2 and 7
d. 2 and 5
Cecil Green sells golf hats. He knows that most people will not pay more than $20 for a golf hat. Cecil needs a 40% markup on cost. What should Cecil pay for his golf hats? (Round your answer to the nearest cent.) Cecil pays $
Final answer:
Cecil should pay $14.29 for his golf hats.
Explanation:
To determine what Cecil should pay for his golf hats, we need to calculate the cost price and apply the 40% markup. Let's assume the cost price is 'x'. Since Cecil needs a 40% markup on cost, the selling price will be 140% of the cost.
To find the selling price, we can use the equation: 140% of 'x' = $20. Solving this equation, we get: x = $20 / 1.4 = $14.29.
Therefore, Cecil should pay $14.29 for his golf hats.
The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders the day before the game was released. He used that data to create a simulation to predict the probability that future customers will cancel their preorders.
Using the data presented in the problem, you are asked to predict the probability that future customers will cancel their preorders. To find the probability, you have to divide the number of people who cancelled their preorders by the total number of people who preordered.
35 people / 140 people = .25 or 25% probability that the future customers will cancel their preorders.
Answer:
A
Step-by-step explanation:
You borrow $350 from your aunt and agree to repay her $400 in 18 months. What interest rate (to the nearest tenth) are you paying?
The manager at Jessica's Furniture Store is trying to figure out how much to charge for a couch that just arrived. The couch was bought at a wholesale price of $ 1 1 3 . 0 0 $113.00dollar sign, 113, point, 00, and Jessica's Furniture Store marks up all furniture by 4 5 % 45%45, percent. At what price should the manager sell the couch?
Find the fifth term of an=3n-5
Is 200 milliliter equivalent to 2 liters
Find the radius of the circle whose equation is 3x² + 3y² = 75.
Answer: 5 units
Step-by-step explanation:
We know that the general equation of a circle having center at (h,k) and radius r is given by :-
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Given : The equation of a circle : [tex]3x^2 + 3y^2 = 75[/tex]
Taking 3 as common from the left side of the given equation , we get
[tex]3(x^2 + y^2) = 75[/tex]
Divide 3 on both the sides , we get
[tex]x^2 + y^2 = 25[/tex]
Comparing to the general equation of circle , we get
[tex]r^2 = 25\\\\\Rightarrow\ r=5[/tex]
Hence, the radius of the circle = 5 units
Dr. Clarence invested $5000 in an account that draws 3.2% interest, compounded annually. What is the total value of the account after 5 years?
Which is the most reasonable conjecture about the data shown in the scatter plot?
I think B? I'm not sure..
In a normal distribution, the mean is ____ it's mean and mode
Final answer:
In a normal distribution, the mean, median, and mode are all the same, since it is symmetric around the mean. The standard deviation affects the shape of the distribution, and the empirical rule states that most values lie within two standard deviations of the mean. Differences in symmetry may cause the mean, median, and mode to diverge, with the mean being most affected by skewness.
Explanation:
In a normal distribution, the mean is equal to the median and mode, by definition. This is because the normal distribution, which is also known as the Gaussian distribution, is symmetrically shaped like a bell curve around the mean (μ). The mean indicates the center of the distribution and the point of symmetry, while the median divides the data such that half of the values are above it and half are below. The mode is the most frequently occurring value in the data set, and in a perfect normal distribution, it coincides with the mean and median.
The standard deviation (σ) is a measure of the spread of the distribution. If the standard deviation is increased, the curve becomes wider and flatter, while a decrease in σ makes the distribution steeper and narrower. Additionally, the location of μ on the X-axis can shift the entire graph to the left or right, but the shape of the graph remains the same. The empirical rule helps us understand that approximately 95% of values lie within two standard deviations from the mean.
Drawing from the collaborative exercise provided, by recording the heights and creating histograms with smooth bell-shaped curves, one can calculate the mean and identify how characteristics such as skewness affect the mean, median, and mode, especially in non-symmetric distributions. In these cases, the mean can be influenced by the direction of the skew more than the median, pulling it towards the tail of the distribution.
What are the roots of the equation?
x^2+24=−11x
Enter your answers in the boxes.
Answer:
[tex]x_1 = -8[/tex]
[tex]x_2 = -3[/tex]
Step-by-step explanation:
Given the equation:
[tex]x^2+24 = -11x[/tex]
Add 11x to both sides we have;
[tex]x^2+11x+24 = 0[/tex]
Split the middle terms we have;
⇒[tex]x^2+8x+3x+24 = 0[/tex]
⇒[tex]x(x+8)+3(x+8)= 0[/tex]
⇒[tex](x+8)(x+3)= 0[/tex]
By zero product property we have;
x+8 = 0 and x+3= 0
⇒x = -8 and x = -3
Therefore, the roots of the given equations are:
[tex]x_1 = -8[/tex]
[tex]x_2 = -3[/tex]
Find the x-intercepts (if any) for the graph of the quadratic function.
6x^2 +12x+5=0
Give your answers in exact form. Show your work
Tom and Sonya were comparing their answers on a math problem. It was an order of operations problem, and they each had a different answer. Tom had an answer of 11, and Sonya had an answer of 104. Which student correctly solved the order of operations problem given by the teacher?
(5^2 +6)–(7•4)+8
What is the area of the hexagon? Numerical answer only!
what is the answer to 3 (k-2)-6=4k-(3k-1)
The basketball team has been working hard to increase their points scored. The goal is to increase the number by 9% each game. In last week’s game, they scored just 66 points. In this week’s game they scored 72 points. Did they reach their goal this week?
Yes, they increased their score by 9%.
Yes, they increased their score by 8%.
No, they increased their score by only 6%.
No, they increased their score by only 8%.
Description
Yes, they reach the goal and increased their score by 9%.
What is percentage increase?% Increase = Increase / Original Number × 100. This gives you the total percentage change, or increase.
Given:
Last week game score=66
Next week game score= 72
Change in score= 72-66=6
So,
% increase= Change in score/original score *100
=6/66*100
=9.09 %
Hence, the score increase by 9.09%.
Learn more about percentage increase here:
https://brainly.com/question/20818421
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annual college tuition and fees are 8000$. Books and other charges cost 1000$ per year. If Tony receives a $4500 scholarship each year, how much more will he need to pay for 1 year of college?
Sela's piano lesson starts at 4:45pm the lesson is 30 minutes long
the piano lesson ends at 5:15
Which is a cubic function? a. f(x) = 3x + 1 b. f(x) = 3x2 + x + 2 c. f(x) = 5x3 + 2x + 1 d. f(x) = x3 + x4 + 5
Answer:
Option C is a cubic function
Step-by-step explanation:
Given the options we have to choose the cubic function
Cubic function is the function with degree 3 i.e the highest power of variable is 3.
Option a: [tex]f(x)=3x+1[/tex]
The above polynomial has highest power 1 i.e of degree 1
∴ not a cubic function
Option b: [tex]f(x)=3x^2+x+2[/tex]
The above polynomial has highest power 2 i.e of degree 2
∴ not a cubic function
Option c: [tex]f(x)=5x^3+2x+1[/tex]
The above polynomial has highest power 3 i.e of degree 3
∴ above is a cubic function
Option d: [tex]f(x)=x^3+x^4+5[/tex]
The above polynomial has highest power 4 i.e of degree 4
∴ not a cubic function
Is the sequence arithmetic? If so, identify the common difference. 15,22,35,46,...
whats the equation of the line?
Which of the following represent the rule y = x + 2? Input x -3 -2 -1 0 1 Output y -1 0 1 2 3 Input x 3 4 5 6 7 Output y 5 7 9 11 13