Four bottles of powerade cost $3.88. Find the unit price of each bottle
What is the slope of a line that is parallel to the line represented by the equation?
y= -2/5x + 4/5
Answer:
y= -2/5x + 4/5
The slope is -2/5
In adding 4/5 + 18/100 the least common denominator is:
The least common denominator of the given denominators 5 and 100 is 100.
Given that, 4/5 + 18/100.
What is least common denominator?When two or more fractions have the same denominators, they are termed as the common denominators. The least common denominator (LCD) refers to the smallest number that is a common denominator for a given set of fractions.
Here, two different denominators are 5 and 100.
The least common denominator of 5 and 100 is 100.
So, 80/100 + 18/100
= 98/100
= 49/50
Therefore, the least common denominator of the given denominators 5 and 100 is 100.
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Find the locus of the point (x,y) which is a distance 3 from the point (-2, 1)
the average airspeed velocity of an unladen European swallow is approximately 24 miles per hour at this rate how many hours will it take to swallow to fly from Appin to Glen Coe about 18 Miles??
Phillip flips a coin, rolls a standard number cube, and randomly chooses a shape from the list below. Find the probability that the coin will show tails, the cube will show an odd number, and a red shape will be chosen. 1/6 1/2 None of these 1/12 1/8 HELPPP PLZ TODAY!!!!
Answer:
thx for pts
Step-by-step explanation:
The percentage of high school students who drink and drive stood at 17.5% at the beginning of 2001 and declined linearly to 10.3% at the beginning of 2011.† (a) find a linear function f(t) giving the percentage of high school students who drink and drive in year t, where t = 0 corresponds to the beginning of 20
1) The linear function : f(t) = -0.72t + 17.5
2) When t = 14 the value is 7.42
Part A
For this case we have the following information given:
t= 2001 (0) f(0)= 17.5%
t= 2011 (10) f(10)= 10.3
Slope= [tex]\frac{10.3-17.5}{10-0}[/tex]
10.3 = -0.72*10 +b
b= 10.3 +10*0.72
= 17.5
Then the equation is:
f(t) = -0.72t + 17.5
Part B
For 2015 the value of t = 2015-2001
= 14
Substitute in function,
f(14)= -0.72×14 + 17.5
= 7.42
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Complete question:
The percentage of high school students who drink and drive was 17.5% at the beginning of 2001 and declined linearly to 10.3% at the beginning of 2011.†(a) Find a linear function f(t) giving the percentage of high school students who drink and drive in year t, where t = 0 corresponds to the beginning of 2001.f(t) = (b) If the trend continued, what was the percentage of high school students who drank and drove at the beginning of 2015? %
To find the linear function that represents the percentage of high school students who drink and drive in a given year, we can use the slope-intercept form of a linear equation. We can determine the slope and y-intercept by using the given data points. The linear function is f(t) = -0.82%t + 17.5%.
Explanation:To find a linear function f(t) giving the percentage of high school students who drink and drive in year t, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, y represents the percentage of students who drink and drive, and t represents the year. We know that at the beginning of 2001 (t=0), the percentage was 17.5%, and at the beginning of 2011 (t=10), the percentage was 10.3%. Using this information, we can find the slope (m) and the y-intercept (b) of the linear function.
Step 1: Calculate the slope (m):
m = (y2 - y1) / (t2 - t1) = (10.3% - 17.5%) / (10 - 0) = -0.82% per year.
Step 2: Substitute one of the points and the slope into the slope-intercept form to find the y-intercept (b). Using the point (0, 17.5%):
17.5% = -0.82%(0) + b
b = 17.5%.
Therefore, the linear function f(t) is: f(t) = -0.82%t + 17.5%.
In which situation is the original price bigger? (A) after a 5% discount the price was $190; (B) after a 10% discount the price was $180; (C) after a 20% discount the price was $170; (D) after a 30% discount the price was $140.
Answer:
C
Step-by-step explanation:
Calculate each one of them to see which one is highest:
a)190/.95 = 200
b) 180/.9 = 200
c)170/.8 = 212.5
d)140/.7 = 200
Write the time another way. 18 minutes before 11
last year, marys vegetable garden was a rectangle that measured 6 ft by 8 ft. If she wants to increase the size this year by a scale factor of 2. the measurements should be ____ ft by 16 ft
a blank is a number that uses place value and a decimal point to show a value less than 1 search as tenths and hundredths
a triangle has two sides of lengths 4 and 15. what value could the length of the third side be?
Answer: The answers are 12, 15, 13
Step-by-step explanation:
A smartphone originally worth $790 loses value at a rate of $175 each year.Write an equation to represent the value of the phone, then find value of the phone after 4years.Identify your variables
Final answer:
The value of the smartphone after 4 years is calculated using the linear equation V = 790 - 175t, resulting in a value of $90.
Explanation:
The smartphone's value decreases by $175 each year. To represent the value of the phone after a certain number of years, we can use a linear equation. Let V be the value of the smartphone after t years, where V is in dollars and t is the number of years.
The original value of the smartphone is $790, so the equation to represent the value over time is:
V = 790 - 175t
After 4 years, the value of the smartphone would be:
V = 790 - 175(4)
V = 790 - 700
V = $90
Therefore, the value of the smartphone after 4 years is $90.
PLEASE HELP 30 POINTS!!!!!!!!
Without graphing the lines to the equations, given any two linear equations explain how you can tell if the lines of the two equations are parallel.
which word phrase represents the following expression r ÷ 6 ?
Answer : The correct phrase used is, r is divided by 6.
Step-by-step explanation :
We are given an expression :
r ÷ 6
The word used for subtraction operation is 'less'.
The word used for multiplication operation is 'times'.
The word used for division operation is 'divided by'.
Thus, the verbal sentence for given equation is, r is divided by 6.
Vicki started jogging. The first time she ran she ran 3/16 mile. The second time, she ran 3/8 Mile, and the third time, she ran 9/16 mile. If she continue this pattern, when was the first time she ran more than one mile explain
Answer: So the pattern is 3/16, 3/8, 9/16
here you can write 3/8 = 6/16 multiplying numerator and denominator by 2.
Then the sequence is 3/16, 6/16, 9/16....
you can see that is an arithmetic sequence, where in every step you are adding 3/16 to the previous number.
So the next time (the fourth) she will ran (9 +3)/16 = 12/16 mile
the fifth time: (12 + 3)/16 = 15/16 mile
the sixth time : (15 + 3)/16 = 18/16 = 16/16 + 2/16 = (1 + 1/8) miles
So the sixth time she will ran more than one mile.
Which Number produces a rational number when added to 0.25
Any number that is rational when added to 0.25 will result in a rational number, as 0.25 is a rational number itself. Examples include adding integers or other fractions to 0.25.
Explanation:Any number added to 0.25 will produce a rational number since 0.25 itself is a rational number. Rational numbers include integers, fractions, and finite or repeating decimals. When adding a number to 0.25, if the second number is rational, the result will surely be rational. For instance, adding an integer like 2 to 0.25 gives 2.25, which is rational. Similarly, adding a fraction like 1/2, which is 0.5 in decimal form, results in 0.75, also a rational number.
When considering common denominators in fractions for addition or subtraction, the denominator of the resulting number is a product of the denominators of the numbers being added. This is because, to add fractions effectively (or subtract them), we convert each number to an equivalent fraction with the same denominator. Then we add (or subtract) the numerators while the denominator remains constant.
In summary, any number that can be expressed as a fraction with a finite number of digits or a repeating pattern after the decimal point, being a rational number when added to 0.25, will result in another rational number.
To find a number that, when added to 0.25, produces a rational number, we can subtract the decimal part of 0.25 from 0.25 itself. The number that satisfies this condition is -1/4.
Explanation:To find a number that produces a rational number when added to 0.25, we need to understand that a rational number is one that can be expressed as a fraction. So we are looking for a number that, when added to 0.25, results in a fraction.
Let's call the number we're looking for 'x'. To make the addition result in a fraction, 'x' needs to be the negative of the decimal part of 0.25. Since 0.25 is equal to the fraction 1/4, the negative of the decimal part is -(1/4) = -1/4.
Therefore, the number that produces a rational number when added to 0.25 is -1/4.
The line plots show the number of hours two different age groups of teenagers spent online the previous week.
Two line plots, both are labeled from twelve to thirty six going by ones underneath the line plot. The top line represents Hours spent online parenthesis ages thirteen to fifteen parenthesis. There are three Xs over twenty eight, two Xs over twenty seven and one X over twenty one, twenty four, twenty six, thirty one and thirty four. The bottom line represents Minutes spent online parenthesis ages sixteen to eighteen years old parenthesis. There are four Xs over twenty eight and one X over twelve, twenty one, twenty seven, thirty point five, thirty four, thirty five and thirty six.
Select from the drop-down menus to complete each statement.
The range is . The mean
Answer:
Step-by-step explanation:
The range is greater for data set 1 ( 13- to 15-year old ).
The mean is the same for both data sets.
which expressions are polynomials
A) 20x^2
B)20x^2/y
C)20x^2+y^1/2
The answers are : 20x^2 and 20x^2 + y^1/2
I just took the test I promise those are the correct answers.
which ingredient does Ramon use the greater amount of, buttermilk or cream cheese? Explain how you found your answer.
( 5/8 cup buttermilk , 1/2cup cream cheese)
Find the first four terms of this geometric sequence a1 = 5 And r = 6
A cone shaped vase has a radius of 12 cm and a height of 45 cm. What is the exact value of the volume of the vase?
Answer:
6782.4 π cm³
Step-by-step explanation:
I took the test and got it right!
If the APY of a savings account is 3.2%, and if the principal in the savings account was $2400 for an entire year, what will the balance of the savings account be after all the interest is paid for the year?A. $2400
B. $2406.24
C. $2600
D. $2476.80
Answer:
The answer is $2476.80 Apex
Step-by-step explanation:
Select the statements that are true for the graph of y = −(x−0.5)^2+9
1. The graph has a minimum.
2. The graph has a maximum.
3. The vertex is (0.5, 9) .
4. The vertex is (−0.5, 9)
I NEED THIS DONE BY 1:30 2/22/2018 THANK YOU! (:
The true statements are
2. The graph has a maximum.3. The vertex is (0.5, 9) How to determine the true statement?The equation of the function is given as:
[tex]y = -(x - 0.5)^2 + 9[/tex]
Because the leading term is negative, then the equation has a maximum
This is represented by the first minus sign in [tex]y = -(x - 0.5)^2 + 9[/tex]
The function can also be represented as:
[tex]y = a(x - h)^2 + k[/tex]
Where:
Vertex = (h,k)
So, we have:
Vertex = (0.5,9)
Hence, the true statements are (2) and (3)
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Create a system of linear equations that has the solution (3,5)?
Answer:
x + 2y = 133x - y = 4Step-by-step explanation:
I find it easiest to write the equations in standard form, as above. You just need to pick numbers for the x- and y-coefficients, then see what the left-side evaluates to. I wanted the x-coefficients to be different, and one of the y-coefficients to be negative. (The x-coefficients need to be positive when the equation is written in standard form.)
_____
Check
3 +2·5 = 3 +10 = 13 . . . first equation works
3·3 -5 = 9 -5 = 4 . . . . . second equation works
The length of a rectangle if the length is twice the size of the width increased by one
Kellie called six friends with each call lasting 8 1/2 minutes. how long was Kellie on the phone
Name the digits of pi. At least 50
The first 50 digits of pi are 3.14159265358979323846264338327950288419716939937510.
The digits of pi (π) extend infinitely and do not repeat in any known pattern, which makes this number a mathematical constant and an irrational number. Pi is crucial in various mathematical formulas, including those used to calculate the area and circumference of a circle.
Here are the digits of pi to 50 decimal places: 3.14159265358979323846264338327950288419716939937510.
Given the functions, and g(x) = 3x 2 + 2, perform the indicated operation. f(g(x))
I believe the answer is 6x-13. But I'm not 100% posititive.
1.The sales tax rate in a certain state is 8%. How much would you pay in total for a taxable item that costs $25.25?
2.Alicia answered 20 out of 25 problems correctly on a test. What percent did she get correct?
3.Jim bought a fishing rod for $42. This price was 70% of the original price. What was the original price?
4.An auctioneer sold items totaling $42,000. If her rate of commission was 7%, what was her income from commissions?
5.At a local hardware store, Ms. Jones learned that 1 would cost her $.50, 12 would cost $1.00, and the price of 144 would be $1.50. What was Ms. Jones buying?
6.People sometimes use credit cards to purchase items they can’t afford to pay for at the moment of purchase. If you’re one of these people, you should know that the monthly finance charge on credit purchases is based on percent. Let’s say you have an outstanding balance of $800 on your credit card. The credit card company charges 1.6% per month. What finance charge will you have to pay for one month?