Answer:
10 mph
Step-by-step explanation:
Let x mph be Devontre rate uphill, then x+20 mph its his rate downhill.
1. Time uphill:
[tex]\dfrac{5}{x}\ hours[/tex]
2. Time downhill:
[tex]\dfrac{5}{x+20}\ hours[/tex]
3. If it took him 20 minutes (1/3 hour) longer to ride uphill than downhill, then
[tex]\dfrac{5}{x}-\dfrac{5}{x+20}=\dfrac{1}{3}[/tex]
Solve this equation:
[tex]\dfrac{5(x+20)-5x}{x(x+20)}=\dfrac{1}{3}\\ \\\dfrac{100}{x(x+20)}=\dfrac{1}{3}\\ \\300=x(x+20)\\ \\x^2+20x-300=0\\ \\D=20^2-4\cdot (-300)=400+1200=1600\\ \\x_{1,2}=\dfrac{-20\pm \sqrt{1600}}{2}=\dfrac{-20\pm 40}{2}=-30,\ 10.[/tex]
The rate cannot be negative, thus, x=10 mph (rate uphill).
omae wa sinderou nani (questions in the image btw)
Let [tex]a[/tex] be the number of hours worked at Job A and [tex]b[/tex] the number of hours at Job B. Then
[tex]a+b=30[/tex]
and
[tex]7.5a+8b=234.50[/tex]
From the first equation,
[tex]b=30-a[/tex]
and substituting this into the second gives
[tex]7.5a+8(30-a)=234.50\implies-0.5a+240=234.50[/tex]
[tex]\implies0.5a=5.50[/tex]
[tex]\implies\boxed{a=11}[/tex]
Answer:
Its called Omae Wa Mou Shindeiru.....then NANI?!
Step-by-step explanation:
and 11 is your answer....
For a standard normal distribution, find the approximate value of P(z>-1.25) Use the portion of the standard normal table below to help answer the question. z Probability
Z Probability
0.00 | 0.5000
0.25 | 0.5987
1.00 | 0.8413
1.25 | 0.8944
1.50 | 0.9332
1.75 | 0.9599
a. 11% b. 39% c. 61% d. 89%
The approximate value of P(z>-1.25) from the normal table is 0.8944
What is z score?
Z score is used to determine by how many standard deviations the raw score is above or below the mean.
It is given by:
z = (raw score - mean) / standard deviation
P(z > -1.25) = 1 - P(z < -1.25) = 1 - 0.1057 = 0.8944
The approximate value of P(z>-1.25) from the normal table is 0.8944
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Jack has $4.95 in dimes and quarters. He has 30 coins total. How many dimes and how many quarters does he have ?
Answer:
6monedas de 4y26 m onedas de10
Step-by-step explanation:
Solve for x a)14.5 b)10 c)6/3 d) 20
Answer:
b. 10
Step-by-step explanation:
The triangles are all similar, so you have ...
hypotenuse/short side = x/4 = 25/x
Cross multiplying gives ...
x^2 = 100
x = 10 . . . . . . . take the square root
Answer:
The answer is b) 10
Step-by-step explanation:
We have to use the theorem of the cathetus or leg rule, that says "Each leg of the right triangle is the mean proportional between the hypotenuse and the part (projection) of the hypotenuse directly below the leg"
hypotenuse/leg =leg/part or b²= m*a
In this case,
hypotenuse= m
leg=x
part= 4
So,
x= √((21+4)*4)
x= √((25)*4)
x= √100
x= 10
Lauren Rob need to find a decimal equivalent to 39/50 Laura said she could write an equivalent fraction with 100 as the denominator in converted into a decimal. Rob said he could divide the numerator by the denominator. Who is correct?
Both Laura and Rob are correct in finding the decimal equivalent of a fraction.
Explanation:A fraction is a mathematical expression representing a part of a whole. It consists of a numerator (top number) indicating the part being considered and a denominator (bottom number) representing the total number of equal parts. Fractions are used for division, ratios, and comparisons in mathematics.
To find the decimal equivalent of a fraction, you can use either method mentioned by Laura or Rob. Laura's method involves writing an equivalent fraction with 100 as the denominator and then dividing the numerator by the denominator. For example, 39/50 can be written as 78/100, which is equal to 0.78 as a decimal. Rob's method involves dividing the numerator (39) by the denominator (50) directly, which also gives you the decimal value of 0.78.
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Which expression is undefined?
0 divided by 8 is the answer
The expression which is undefined is:
8÷0
Step-by-step explanation:Undefined expression--
It is a expression which is meaningless.
In real numbers if we divide a non-zero number by 0 then the expressions becomes meaningless.
1)
-8÷(-8)
On dividing the non-zero number by the number itself we get the resultant as 1.
i.e.
-8÷(-8)=1
2)
-8÷8
On dividing a number by the negative of same number we get the resultant as: -1
3)
0÷8
On dividing zero by any non-zero number we get the resulting value as 0.
i.e.
0÷8=0
4)
8÷0
Here in the denominator we have the number as zero.
Hence, the expression is undefined.
Math please help ???
Answer: Option B
[tex]y=0.5x +0.75[/tex]
Step-by-step explanation:
The equation modeling this situation is a linear equation of the form
[tex]y = mx + b[/tex]
Where x is the slope and b is the intercept with the y axis.
To find the equation of a line we need two points that belong to the line.
We know that when it is empty the jug weighs 0.75 lib.
This is:
When x = 0, y = 0.75
Then when the jug contains 3 cups of water it weighs 2.25 pounds.
This is:
When x = 3, y = 2.25
We already have the two points
Then we find the slope of the straight
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]y_2 = 2.25\\\\y_1=0.75\\\\x_2=3\\\\x_1=0[/tex]
[tex]m=\frac{2.25-0.75}{3-0}[/tex]
[tex]m = 0.5[/tex]
The equation is:
[tex]y=0.5x +b[/tex]
We substitute the point (0, 0.75) in the equation and solve for b
[tex]0.75=0.5(0) +b[/tex]
[tex]b=0.75[/tex]
Finally the equation is:
[tex]y=0.5x +0.75[/tex]
Answer:
no freaking way, is the state test? because if it is, then wow, you need to do your work
Step-by-step explanation:
The cheerleaders are making a banner that is 8 feet wide. The length of the banner is 1 1/3 times width of the banner. How long is the banner?
Answer:
The banner is 10 2/3 ft long
Step-by-step explanation:
1 1/3 = 4/3 times the width of the banner:
4/3 * 8 feet wide = 4/3 * 8 = 32/3 = 10 2/3 feet long
The banner is 10 2/3 feet long. :)
The question is asking for the length of a banner, given that the length is 1 1/3 times the width, which is 8 feet. By multiplying 8 feet by 1 1/3, we find that the length of the banner is 10.67 feet.
Explanation:The question is asking for the length of a banner where the length is 1 1/3 times the width, and the width is given as 8 feet. To find the length of the banner, we need to multiply the width of the banner (8 feet) by 1 1/3, which yields 10.67 feet. Therefore, the length of the banner is 10.67 feet.
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A 6-pound watermelon costs $2.40 before a 30% discount. Which equation will allow you to find the discounted price of the watermelon?
Answer:
$1.68
Step-by-step explanation:
2.40 x .70 =1.68
Answer:
Iready Answer: d=0.7 x $2.40
Step-by-step explanation:
What is the perimeter of the perimeter of the polygon in the diagram?
Answer:
D
Step-by-step explanation:
Use the distance formula to find all of the sides.
Then add them together
Answer: [tex]D.\ 4\sqrt{a^2+b^2}[/tex]
Step-by-step explanation:
From the given picture, it can be seen that the given polygon is dividede into four right triangles of same measurement.
Consider triangle in the first quadrant, then the base of triangle = |a-0|=a
Height of triangle = |b-0|=b
Let p be the side of the polygon which is also the hypotenuse of the given triangle.
Apply Pythagoras theorem in right triangle, we get
[tex]p=\sqrt{a^2+b^2}[/tex]
Since all the triangles are congruent, then the perimeter of the polygon is given by :-
[tex]4p=4\sqrt{a^2+b^2}[/tex]
If [tex]f(x)=\frac{3}{x+2} -\sqrt{x-3}[/tex], complete the following statement:
The domain for f(x) is all real numbers ___ than or equal to 3.
Answer:
The domain for f(x) is all real numbers greater than or equal to 3.
Step-by-step explanation:
[tex]f(x)= \frac{3}{x+2} - \sqrt{x-3}[/tex]
To solve the above equation, the value of x should be greater than or equal to 3, as we have the term [tex]\sqrt{x-3}[/tex] and if value is less than 3, the term inside the square root will be negative and we cannot find the square root of negative numbers.
So, The domain for f(x) is all real numbers greater than or equal to 3.
Answer:
"greater"
Step-by-step explanation:
The domain is the set of x values for which a function is defined.
When we have a square root is a function, we need to remember that square root can't be negative. Thus, anything under the root would need to be GREATER THAN or EQUAL to 0.
Thus
x - 3 ≥ 0
x ≥ 3
This is the constraint.
Thus
the _____ would be "greater"
List price of article = $2,150 Percentage discount = 18% Retail price = _____.
Answer:
18% reduction leaves 82% remaining. 82% of $2150 = .82(2150) = $1763.
Answer:
Retail Price = $1763
Step-by-step explanation:
List price of article = $2150
Percentage discount given = 18%
Then value of discount on the list price = 18% of $2150
= [tex]\frac{(2150)(18)}{100}[/tex]
= $387
Now the retail price of the article = List price - discount given
= $2150 - $387
= $1763
Therefore, Retail price of the article will be $1763
Which expression can be used to find the output numbers in the table???
Answer:
[tex]\large\boxed{x+6}[/tex]
Step-by-step explanation:
[tex]x = 12\to y=12+6=18\\x=13\to y=13+6=19\\x=14\to y=14+6=20\\x=15\to y=15+6=21\\\vdots\\x\to y=x+6[/tex]
The linear function represented in the table is given by:
[tex]y = x + 6[/tex]
A linear function has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.From the table, two of the points (x,y) are (12,18) and (13,19).
The slope is given by change in y divided by change in x, thus:
[tex]m = \frac{19 - 18}{13 - 12} = 1[/tex]
Then
[tex]y = x + b[/tex]
Point (12,18) means that when [tex]x = 12, y = 18[/tex], and this is used to find b.
[tex]y = x + b[/tex]
[tex]18 = 12 + b[/tex]
[tex]b = 6[/tex]
Thus, the equation is:
[tex]y = x + 6[/tex]
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Each Saturday morning Andy works 4 hours and earns $34 .At that rate,what does Andy earn for each hour he works
Andy earns $8.50 per hour by dividing the total amount he earns ($34).
To find out how much Andy earns for each hour he works, you need to divide the total amount he earns by the number of hours he works on Saturday morning. If Andy earns $34 over 4 hours, his hourly wage is calculated as follows:
Divide $34 by 4 hours.
$34 / 4 hours = $8.50 per hour.
So, Andy earns $8.50 per hour.
Related Scenarios
At an hourly wage of $10 per hour, a similar worker like Marcia Fanning is willing to work 36 hours per week.
With increased hourly wages between $30 and $40, Marcia decides to work 40 hours per week.
When offered $50 per hour, she chooses to reduce her hours to 35 per week, likely to balance her work and leisure time in a way that maximizes her utility.
These examples illustrate how an increase in hourly wage can influence the number of hours a person is willing to work to balance overall life satisfaction and economic benefits
99. Gretchen needs to bake 3 pies. Each pie takes
10 minutes to bake. She needs to let the oven
reheat for 5 minutes between each pie. She
begins baking at 8:05 a.m. Use the number line
to show when each pie is finished baking.
Answer: she will be done by 8:50
Step-by-step explanation:
45 minutes
Which choice is equivalent to the expression below?
Answer:
B. 7√10.
Step-by-step explanation:
√40 = √4√10 = 2√10
√90 = √9√10 = 3√10
So √40 + 2√10 + √90
= 2√10 + 2√10 + 3√10
= 7 √10.
ANSWER
B. 7√10
EXPLANATION
The given radical expression is:
[tex] \sqrt{40} + 2 \sqrt{10} + \sqrt{90} [/tex]
We need to remove the perfect square from the first and third term.
[tex]\sqrt{4 \times 10} + 2 \sqrt{10} + \sqrt{9 \times 10} [/tex]
We now share the radical sign to get;
[tex] \sqrt{4} \times \sqrt{10} + 2 \sqrt{10} + \sqrt{9} \times \sqrt{10} [/tex]
Simplify to get;
[tex]2\sqrt{10} + 2 \sqrt{10} + 3 \sqrt{10} [/tex]
This simplifies to
[tex]7 \sqrt{10} [/tex]
Using and Analyzing Regression Lines
The regression line modeling the number of push-ups Juan does each day is y = 0.631x + 0.0357.
Which one doesn't explain the graph correctly?
1. There is a negative correlation between time (in days) and the number of push-ups Juan does.
2. Juan increases the number of push-ups he does by about 0.631 each day.
3. The response variable is the number of push-ups
4. The explanatory variable is time (days)
Answer:
1. There is a negative correlation between time (in days) and the number of push-ups Juan does.
Step-by-step explanation:
The slope of the regression line (0.631) is positive, so the correlation between days and pushups is positive.
In a video game player can choose a character from for animal characters in three human characters players can also let the computer randomly select a character for them to player will have the computer randomly selected character what is the probability it will pick a human character
____________________________________________________
Answer:
Your answer would be 3/7 or [tex]\frac{3}{7}[/tex]
____________________________________________________
Step-by-step explanation:
In this type of question, we would need to find out the chances of getting something as an outcome, and that would be expressed as a fraction.
In order to find out the chance (or likeliness) of an outcome, we would need o use the information provided in the question.
Let's give you some key information that was given to us.
Key information:
4 animal characters
3 Human characters
With the information above, we can figure out what would be the probability of an outcome.
The question is saying "what is the probability of the computer picking a human character." That means that the amount of human characters would go on our numerator.
There's not only human characters, but there are 4 animal characters too, so that would be used to give us our total. the "4" will be added to our denominator.
Now, let's write it in a fraction.
Fraction: [tex]\frac{numerator}{denominator}[/tex]
We know that we are trying to find the probability of getting a human character, so "3" would go on our numerator.
For our denominator, we would add up both numb ers since it would have to be the total amount of options in order to find the probability, and that would be "7" since 4 + 3 = 7.
When you put those into a fraction. Your FINAL answer would be:
3/7 or [tex]\frac{3}{7}[/tex]
____________________________________________________
5 kilograms of coffee are going to be shared equally among 4 people.
How many kilograms of coffee does each person get?
Answers:
between 0 and 1
between 1 and 2
between 3 and 4
Answer:
5 ÷ 4 = 1.25
So each person would get 1.25 kilograms of coffee.
Hope it helps!
Step-by-step explanation:
the answer is b
Answer:
5÷4= 1.25
So I'm assuming that it's "Between 1 and 5"...
please help on this one
Answer:B
Step-by-step explanation: i think it is the only one observing something tell me if i am wrong though
What is the range of the function ()=12−2 f ( x ) = 1 2 x - 2 when the domain is {2, 4, 6}?
Answer:
{-1, 0, 1}
Step-by-step explanation:
If your function is f(x) = 1/2x -2, then the range is found by executing the function on each of the domain values:
f(2) = 2/2 -2 = -1
f(4) = 4/2 -2 = 0
f(6) = 6/2 -2 = 1
The range is {-1, 0, 1}.
Amanda and Alisa share dresses in the ratio 11:13. If Alisa gives 10 dresses to Amanda, Amanda will have twice as many dresses as Alisa has. How many dresses does each of the girls have?
Answer:
Amanda = 22
Alisa = 26
Step-by-step explanation:
Amanda : Alisa = 11 : 13
Amanda : Alisa = 11x : 13x
Alisa gives 10 dresses to Amanda.
Amanda = 11x + 10
Alisa = 13x - 10
Amanda will have twice as many dresses as Alisa has.
11x + 10 = 2(13x - 10)
11x + 10 = 2(13x - 10)
11x + 10 = 26x - 20
15x = 30
x = 2
Amanda
= 11 x 2
= 22
Alisa
= 13 x 2
= 26
Amanda has 22 dresses, and Alisa has 26 dresses. This is calculated by solving the equations given in the problem according to the ratio and conditions provided. The number of dresses each girl has fits the criteria set by the original problem.
Solving the Ratio Problem
To find the number of dresses Amanda and Alisa have, we start by setting up the ratio and the conditions given:
Let the number of dresses Amanda has be 11x and the number Alisa has be 13x. The ratio of their dresses is 11:13.
If Alisa gives 10 dresses to Amanda, Amanda's dresses become 11x + 10 and Alisa's dresses become 13x - 10. According to the problem, Amanda will then have twice as many dresses as Alisa:
11x + 10 = 2(13x - 10)Expanding and simplifying the equation:
11x + 10 = 26x - 2010 + 20 = 26x - 11x30 = 15xx = 2So, the number of dresses:
Amanda has: 11 × 2 = 22Alisa has: 13 × 2 = 26Which of the following illustrate the communative property? Select all that apply.
Answer: the answers are A. D. E. and F.
Step-by-step explanation:In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it.
Hope this helps. Please name me brainliest.
Answer:
It's actually A, D, E...I just got the answer wrong on algebra nation
Rectangle A has a length of 2x + 6 and a width of 3x. Rectangle B has a length of x + 2 and an area of 12 square units greater than Rectangle A's area. What is a simplified expression for the width of Rectangle B? x + 2 x + 1 6x + 6 6(x + 2)(x + 1)
Answer: So the final answer would be width is 6x + 6
Step-by-step explanation: The formula for Area is Length x width.
So A = (2x + 6)(3x) and the result is: 6x^2 + 18x
Now, let y be the width of rectangle B.
(x+2) (y) = 6x^2 + 18x + 12
(x+2) y = 6(x+1)(x+2)
y = 6(x+1)
what is the volume of the cylinder below?
Answer:
B
Step-by-step explanation:
The formula for volume of cylinder is given below:
volume of cylinder = [tex]\pi r^2 h[/tex]
Where r is the radius (here, it is given as 3)
h is the height, the perpendicular distance from base to top (here, it is 4 NOT 5 since 5 is the 'slant height')
Plugging in the available info , we get our answer:
[tex]\pi r^2 h\\=\pi (3)^2 (4)\\=36\pi[/tex]
B is the correct answer
Answer:
B) Volume of cylinder is [tex]36 \pi[/tex] units³.
Step-by-step explanation:
Given : Cylinder.
To find : what is the volume of the cylinder below.
Solution : We have given cylinder with radius = 3 units.
Height = 4 units .
Volume of cylinder = [tex]\pi * radius^{2} * height.[/tex]
Plug the values
Volume of cylinder = [tex]\pi * (3)^{2} * 4[/tex].
Volume of cylinder = [tex]\pi* 9 * 4[/tex].
Volume of cylinder = [tex]\pi 36[/tex] units³.
Volume of cylinder is [tex]36 \pi[/tex] units³.
Therefore, B) Volume of cylinder is [tex]36 \pi[/tex] units³.
For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the:
For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the: Sample Variance.
Answer: Sample Variance
For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the sample variance.
What is sample variance?Sample variance can be defined as the expectation of the squared difference of data points from the mean of the data set. It is an absolute measure of dispersion and is used to check the deviation of data points with respect to the data's average.
Sample Variance ExampleSuppose a data set is given as 3, 21, 98, 17, and 9. The mean (29.6) of the data set is determined. The mean is subtracted from each data point and the summation of the square of the resulting values is taken. This gives 6043.2. To get the sample variance, this number is divided by one less than the total number of observations. Thus, the sample variance is 1510.8.
Sample variance is used to measure the spread of the data points in a given data set around the mean. All observations of a group are known as the population. When the number of observations start increasing it becomes difficult to calculate the variance of the population. In such a situation, a certain number of observations are picked out that can be used to describe the entire group. This specific set of observations form a sample and the variance so calculated is the sample variance.
[tex]S^{2}= \frac{\sum_{i=1}^{n}(x_{i}-\mu )^{2} }{n-1}[/tex]
Hence, For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the sample variance.
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Find the slope of the line that passes through the pair of points (–1.75, 14.5) and (–1, 4.4). Round to the nearest hundredth if necessary.
a.2.52
b.–13.47
c.–1.61
d.–0.07
For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
Two points are needed through which the line passes:
[tex](x_ {1}, y_ {1}): (- 1.75; 14.5)\\(x_ {2}, y_ {2}}: (- 1; 4.4)[/tex]
Substituting:[tex]m = \frac {4.4-14.5} {- 1 - (- 1.75)}\\m = \frac {-10.1} {0.75}\\m = -13.46666666[/tex]
Rounding:
[tex]m = -13.47[/tex]
Answer:
[tex]m = -13.47[/tex]
Answer:
m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}
Two points are needed through which the line passes:
(x_ {1}, y_ {1}): (- 1.75; 14.5)\\(x_ {2}, y_ {2}}: (- 1; 4.4)
Substituting:m = \frac {4.4-14.5} {- 1 - (- 1.75)}\\m = \frac {-10.1} {0.75}\\m = -13.46666666
Rounding:
m = -13.47
Step-by-step explanation:
the APR on leslie's credit card is currently 21.6%. what is the monthly periodic rate?
APR = 21.6% = 0.216
The APR is the annual periodic rate
The monthly periodic rate is the annual periodic rate divided by 12, because there are 12 months in a year
Monthly periodic rate = APR / Number if months in a year
= 21.6% / 12
= 1.8%
The APR on Leslie's credit card is currently 21.6%. The monthly periodic rate will be 1.8%.
What is APR?The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on borrowing money in the form of interest but APR is applied annually.
It is given that, the APR on Leslie's credit card is currently 21.6%.
APR = 21.6% = 0.216
Since there are 12 months in a year, the annual periodic rate is divided by 12 to determine the monthly periodic rate.
Monthly periodic rate = APR / Number of months in a year
= 21.6% / 12
= 1.8%
Thus, the APR on Leslie's credit card is currently 21.6%. The monthly periodic rate will be 1.8%.
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Kai bought 120 shares of stock for $68.24 per share. He sold them nine months later for $85.89 per share. What was his capital gain?
Answer:
2118 dollars
Step-by-step explanation:
His capital gain is the difference in the (sell - buy) prices multiplied by the number of shares (120).
120 * (85.89 - 68.24) = 120 * 17.65 = 2118
The capital gain is a short term gain (held under a year)
The amount is 2118 dollars.
100 Points! Please Help Me
Answer:
7. $8123.79
8. 0.012 g
Step-by-step explanation:
It often pays to follow directions. The attachment shows the use of a TI-84 graphing calculator to find the answers.
___
You will notice that the answer to problem 8 does not agree with any of the offered choices. The time period of 22.8 years is 12 times the half-life of the substance, so there will be (1/2)^12 = 1/4096 of the original amount remaining. The time periods corresponding to the amounts shown range from 1.37 years to 16.4 years.
For half-life problems, I find it convenient to use the decay factor (0.5^(1/half-life)) directly, rather than convert it to e^-k. If you do convert it to the form ...
e^(-kt)
the value of k is (ln(2)/half-life), about 0.3648143056.
_____
For multiple choice problems where the choices make no sense, I like to suggest you ask your teacher to show you how to work the problem. (Alternatively, use the "Report this question" or "Ask a tutor" button sometimes provided.)
Answer:
7. 8123.79
8. 0.012
Step-by-step explanation: