Answer:
f=-2
Step-by-step explanation:
2(5-6f)= 34
(5-6f)= 34/2
5-6f= 17
-6f=17-5
-6f=12
f=12/-6
f=-2
Step-by-step explanation:
2(5-6f)= 34
(2*5)-(2*6f)=24
10-12f=34
-12f=34-10
-12f=24
-f=24/12
-f=2
f=-2
Jessica is in an art lesson. She decides to pick a coloured pencil from her pencil case at random for her next drawing.
She has 10 coloured pencils in her pencil case, and 8 of them are yellow. What is the probability, as a percentage (%), that she picks a yellow pencil?
The probability that Jessica picks a yellow pencil is 80%.
What exactly is probability?
Probability is a measure of an event's possibility or chance of occurring. It is stated as a number ranging from 0 to 1, or as a percentage ranging from 0% to 100%, where 0 indicates an impossible occurrence and 1 (or 100%) represents a certain event.
Now,
The probability of picking a yellow pencil = the number of yellow pencils / total number of pencils:
Probability of picking a yellow pencil = Number of yellow pencils / Total number of pencils
In this case, there are 8 yellow pencils out of a total of 10 pencils:
Probability of picking a yellow pencil = 8 / 10
Simplifying the fraction by dividing both the numerator and denominator by 2, we get:
Probability of picking a yellow pencil = 4 / 5
Probability of picking a yellow pencil = 4 / 5 x 100%
Probability of picking a yellow pencil = 80%
Therefore, the probability that Jessica picks a yellow pencil is 80%.
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Please Subtract the Following Fractions. 3/5-2/4
1/5
1/20
2/20
Answer:
do 1/5 times 4 to get the same bottom number the denominator and then subtract 1/20-1/20-2/20
What is the value of x?
Answer:
x=30°
hopefully this answer can help you to answer the next question
4. For each babysitting job, Adam charges a fee for his bus fare plus an hourly rate. The graph shows how he calculates the cost of a babysitting job. Write a linear function in the form
y = mx + b to represent the situation.
Ay = 3x+2
B. y = 3x+1
C. y = 6x+2
D. y = -6× + 2
y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.
The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job
x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).
y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.
y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.
y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.
y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.
Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.
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What does the denominator of this rational expression represent? Jessica is organizing a guided tour of the rain forest. The average profit per person that the touring company makes is given by the rational expression , where is the number of people going on the tour.
Complete Question
Jessica is organizing a guided tour of the rain forest. The average profit per person that the touring company makes is given by the rational expression 18x+35/x, where x is the number of people going on the tour. What does the denominator of this rational expression represents?
Answer:
Number of people going on the tour
Step-by-step explanation:
Given that the average profit per person \(=\dfrac{18x+35}{x}\)
\(\text{Average}=\dfrac{\text{Sum of Total Items}}{\text{Number of Items}}\)
Therefore:
\(\text{Average Profit}=\dfrac{(18x+35)\text{ profit}}{x\text{ persons}}\)
The denominator, x represents the number of people going on the tour.
Answer:
btw 35/x represents epresents a fixed cost, like a cover charge for the tour, that is not affected by the number of people attending the tour. So, the quotient 35/x represents the profit that the tour company makes from the cover charge per person.
Step-by-step explanation:
PLATO
X
Erica works 30 hours/week for
$10/hour, but she must pay $30 in
taxes. What is her take-home income?
Answer:
$270
Step-by-step explanation:
Find her gross income....then subtract taxes:
30 hr/week * $10/hr - $ 30 = $270
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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what is the expression for one-sixth of the sum of 7 and s plus the product of 2 and q
Answer:
= \(\frac{1}{6}\) (7 + s) + ( 2 × q )
I'm pretty much sure that this is correct.
Three travellers met at a lonely oasis. One had 3 loaves of bread, but no money; another had 5 loaves of bread, but no money, while the third had only money. They sat down to a meal and the kind travellers shared their bread equally among all 3 in the morning, the traveller with the money departed leaving 8 silver coins for the other 2 in payment for the bread. How should they share the coins fairly?
Compare and contrast the relative frequency for the whole table in part B with the two-way frequency table given in the activity introduction. What trends or generalizations can you identify from the data in the tables?
The way to convert counts into relative frequencies in a Two Way Relative Frequency Table is to divide the count by the total number of items
What is a Frequency Table?
This refers to the depiction of the number of times in which an event occurs in the form of a table.
Hence, when a two-way frequency table is used, it shows the visual representation of the possible relationship between different sets of data.
Please note that your question is incomplete as you did not provide the frequency table needed and also the trends and generalizations to find, so a general overview was given.
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Answer:
The relative frequency table shows a trend that a majority of people prefer coffee over tea: the ratio in the total row for coffee is 0.65 and just 0.35 for tea. Similarly, more people are night owls than early birds: the total column for night owl is 0.6, but the early bird column is only 0.4.
A button machine produces one button in 0.15 seconds. How many buttons are produced in 48.6 seconds? 0.15 48.6 Multiply the divisor and dividend by The new division problem becomes The quotient of 48.6 - 0.15 is Estimating to check, you get
324 buttons can be produced by the button machine in 48.6 seconds.
Given, A button machine produces one button in 0.15 seconds.
We have to find the number of buttons can be produced in 48.6 seconds.
According to ques,
1 button = 0.15 sec
1/0.15 button = 1 sec
1 sec = 1/0.15 button
48.6 sec = 48.6/0.15 buttons
48.6 sec = 324 buttons
Hence, 324 buttons can be produced in 48.6 seconds.
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I need help solving this
Given
Radius : 6 cmTo find
Area of the semicirclewe know that
Area of a semicircle = πr²/2Inserting the value of radius
Area of the given semicircle = (3.14 x 6cm x 6cm)/2 Area of the given semicircle = 113.04cm²/2 Area of the given semicircle = 56.5 cm²2) How many cups are in two gallons?
Reference: 1 gallon = 4 quarts; 1 quart = 2 pints; 1 pint = 2 cups
Answer:
I think 32 cups in 2 gallons
Please look at the pic and help!!
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
A region in the plane is bounded by the x-axis, the graph y=16-x^2 and the lines x=0 and x= 3. Compute the area of the region enclosed under the graph
Answer:
39
Step-by-step explanation:
\(\displaystyle A=\int^3_0(16-x^2)dx=16x-\frac{x^3}{3}\biggr|^3_0=16(3)-\frac{3^3}{3}=48-\frac{27}{3}=48-9=39\)
Samantha is making lemonade for her friends. The recipe makes 2 quarts of lemonade. Samantha says that 2 quarts will make 4 cups of lemonade, just enough for each of her friends to have one cup. Is she correct? Justify your thinking.
brainliest will be given to the first one who answers correctly please answer asap!
Answer:
Not enough info given. How many friends are there? if she has 3 friends over then yes because she will have enough lemonade for all of her friends and her to have 1 cup of lemonade. If she has more than 3 friends over, then no will not, she will have to double the recipe to assure there is enough.
Step-by-step explanation:
I hope this helps somewhat. Sorry if it's not correct
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1925 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of
the two cars that week?
Let x = gallons consumed by car 1
Let y = gallons consumed by car 2
We set up our equations:
35x+40y = 1850 eq1
x+y = 50 eq2
Substituting eq 2 into eq 1,
35x+40(50-x) = 1850
35x+2000-40x = 1850
-5x+2000 = 1850
-5x = -150
x = 30
Substitute value of x into eq 2.
x+y = 50
30+y = 50
y = 20
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
Jovante decides to start a business by making buttons and selling them for 25 cents each. The button machine costs $125 and the materials for each button cost 10 cents.
Write a cost function, C, that represents the cost in dollars of making n buttons.
a. C(n) = .10n + 125
c. C(n) = 125.10n
b. C(n) = 125n + .10
d. C(n) = n + 125.10
Please select the best answer from the choices provided
Answer:
Step-by-step explanation:
it is I(n) = .25n
gy A card is drawn randomly from a standard 52-card deck. Find the probability of the given event. Write your answers as reduced fractions or whole numbers. (a) The card drawn is 9 P (9)
Answer: 1 / 52
Step-by-step explanation: Relating to what given card at the moment.
find the measures of Arc AD, Arc DB, Arc AB
Answer:
Need the radius if you are finding the exact arch length. but if angle, X is 15 so just sub it in.
How can you check if a line belongs to a plane (Cartesian equation of the line and the equation of the plane is given)?
Any system of government based on rule by the people is called
Answer:
a democracy
I hope this helps!
rosa can run 400 meters in one min. if she runs at the same rate how may meters can she run in 5 min
Answer:
2000 meters
Step-by-step explanation:
400 * 5
6. Maggie works at The Drug Store five days a week. Last week, she worked a
total of 35 hours. She worked the same number of hours every day, except
Saturday, when she worked 11 hours. How many hours did she work on the
other days?
Answer: 7
and maybe 5.83
Step-by-step explanation:
If she worked 5 days a week, and worked the same hours of those days, then the answer is 7. You simply divide 35/5 which gives you that answer. And they’ve already given you the answer for Saturday, so yeah.
But you did say she only worked 5 days a week—in 35 hours. And you also said “how many hours did she work on the other days”. If Saturday’s hours was already stated, then are you implying she worked for 6 days instead of 5? Because there’s 7 days a week and if Saturday is unaccounted for, then she worked 6 days. In that case, your answer would be 5.83.
Pew Research Center is a nonpartisan polling organization that provides information about issues, attitudes, and trends shaping America. In a poll, Pew researchers found that 47% of American adult respondents reported getting at least some local news on their cell phone or tablet computer (Pew Research website, May 14, 2011). Further findings showed that 42% of respondents who own cell phones or tablet computers use those devices to check local weather reports and 37% use the devices to find local restaurants or other businesses.
a. One statistic concerned using cell phones or tablet computers for local news. What population is that finding applicable to?
b. Another statistic concerned using cell phones or tablet computers to check local weather reports and to find local restaurants. What population is this finding applicable to?
c. Do you think the Pew researchers conducted a census or a sample survey to obtain their results? Why?
d. If you were a restaurant owner, would you find these results interesting? Why? How could you take advantage of this information?
Answer:
a) Population of adults who watch local news
b) Population of adults who use cell phones or tablets.
c) They conducted a sample survey
d) I will find the results interesting.
I as a restaurant owner will also enable a Search Engine Optimization for my website to place my restaurant on the top when local restaurants are searched.
Step-by-step explanation:
a) This finding is applicable to the population of adults who watch local news.
This is because the sample will be collected from the population of adults who watch local news to see the percentage that actually get those local news from their cell phones or tablet computers.
b) This finding is applicable to the population of adults who use cell phones or tablets.
The sample will be collected from the population of adults who use cell phones or tablets. A survey can now be carried out to find out what they use their phones or tablets for, whether to search for restaurants or get weather reports.
c) The Pew Researchers conducted a sample survey because a census data cannot contain the information about weather reports, local restaurants or news channel. Precise information can only be gotten from a sample survey.
d) Yes, I will. Having an idea of how large the population of those that search for local restaurants on phones and tablets will enable me to channel my publicity towards this media. I as a restaurant owner will also enable a Search Engine Optimization for my website to place my restaurant on the top when local restaurants are searched.
sum of series 1 +1/3 +1/3².... is?
Answer:
The sum of the series is 3/2
Step-by-step explanation:
Given
1 + 1/3 + 1/3^2 + ....
Required
The sum of the series
This implies that we calculate the sum to infinity.
We have:
\(a = 1\) -- The first term
First, calculate the common ratio (r)
\(r = \frac{1}{3^2} / \frac{1}{3}\)
Change to product
\(r = \frac{1}{3^2} * \frac{3}{1}\)
Solve
\(r = \frac{1}{3}\)
The sum of the series is then calculated as:
\(S_{\infty} = \frac{a}{1 - r}\)
\(S_{\infty} = \frac{1}{1 - 1/3}\)
Solve the denominator
\(S_{\infty} = \frac{1}{2/3}\)
Express as product
\(S_{\infty} = 1 * \frac{3}{2}\)
\(S_{\infty} = \frac{3}{2}\)
Polygon ABCD is translated to create polygon a’ B’ C’ D’. Point a is located at (1,5) and .8‘ is located at (-2,1). what is the distance from B to B’
The distance from B to B’ is mathematically given as
B = 5.
This is further explained below.
What is the distance from B to B’?Generally, The numerical measurement of how far away two places or things are is referred to as distance.
When discussing physics or using the term in ordinary conversation, "distance" may either refer to an actual length or an assumption based on other factors. When referring to the distance between two points, the notation "AB" is often used.
In conclusion, This is due to the fact that the distance between the old coordinates and the new ones would stay the same.
This is due to the fact that it is accomplished by translation, and not as a result of rotation. The gap between them will not change from its current level of 5 meters.
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The components of vectors A and B are given below: A (5.1,0) B (-2.6, -4.3) What is the magnitude of vector sum (A+B)?
The magnitude of the vector sum (A + B) is approximately 4.974.
To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.
Given:
Vector A: (5.1, 0)
Vector B: (-2.6, -4.3)
To find the vector sum (A + B), we add the corresponding components:
(A + B) = (5.1 + (-2.6), 0 + (-4.3))
= (2.5, -4.3)
Now, let's calculate the magnitude of the vector (2.5, -4.3):
Magnitude = sqrt((2.5)^2 + (-4.3)^2)
= sqrt(6.25 + 18.49)
= sqrt(24.74)
≈ 4.974
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What are the solutions of the equation 9x4 - 2x2 - 7 = 0? Use u substitution to solve.
Answer: this is what i got hope this helped i took a sceernshot of it
Step-by-step explanation:
ples make brainly
Please help:Let f (x) = x^2 + 14x + 36 .What is the vertex form of f (x)?What is the minimum value of f (x)?Enter your answers in the boxes.Vertex form: f (x )= __Minimum value of f (x): __
Okay, here we have this:
Considering the provided function, we are going to convert it to vertex form and to find the minimum value of f(x), so we obtain the following:
Vertex form:
f (x) = x^2 + 14x + 36
y - 36 = x^2 + 14x
y - 36 + (14/2)^2 = x^2 + 14x + (14/2)^2
y - 36 + 49 = x^2 + 14x + 49
y +13 = (x+7)^2
f(x)= (x+7)^2 - 13, This is the function in vertex form.
Minimum value of f (x):
To calculate the minimum then we will find the vertex:
To calculate the minimum then we will find the vertex: x=-b/(2a)
x=-b/(2a)
x=-14/(2*1)
x=-14/2
x=-7
And the y-coordinate will be:
f(-7)=(-7+7)^2 - 13
f(-7)=(0)^2 - 13
f(-7)=- 13
Finally we obtain that the minimum value of f(x) is -13.
Considering the provided function, we are going to convert it to vertex form and to find the