The cyclist rode a total of 172 miles in 9 hours, covering 92 miles at 23 mph for 4 hours and 80 miles at 16 mph for 5 hours.
Explanation:To find out how far the cyclist rode in 9 hours, we need to calculate the distance covered at each speed and then add those distances together. The cyclist rode at a constant speed of 23 mph for 4 hours and then at a speed of 16 mph for 5 hours.
First, we calculate the distance at 23 mph:
Distance = Speed × Time
Distance at 23 mph = 23 mph × 4 hours = 92 miles
Next, we calculate the distance at 16 mph:
Distance at 16 mph = 16 mph × 5 hours = 80 miles
Now, we add the distances together to get the total distance:
Total Distance = Distance at 23 mph + Distance at 16 mph
Total Distance = 92 miles + 80 miles = 172 miles
Therefore, the cyclist rode a total of 172 miles in 9 hours.
Name this angle using the following picture
Answer:
x = 42°
Step-by-step explanation:
[tex] \angle JML \:and\:\angle LMN [/tex] Linear pair angles or straight line angles.
[tex] \therefore \: \angle JML + \angle LMN = 180 \degree \\ \therefore \: 3x + 54 \degree = 180 \degree \\ \therefore \: 3x = 180 \degree - 54 \degree \\ \therefore \: 3x = 126 \degree \\ \therefore \: x = \frac{126 \degree}{3} \\ \therefore \: x = 42\degree \\ [/tex]
A 9-pound bag of potatoes costs $4.14. What is the unit price per pound? 2 points
$0.46
$2.17
$0.046
O
$0.22
Answer:
Step-by-step explanation:
Unit price = Total price
number of items
= 4.14/9
= $0.46
On Saturday, Bob's bakery sold 80 cupcakes for $5 each. His profit margin on the cupcakes was 50%. Which calculation yields the amount of profit he made on the cupcakes? A) 50 × 5, then 250 ÷ 2 B) 80 × 5, then 400 ÷ 2 C) 80 × 5, then 400 ÷ 50 D) 80 × 50, then 4,000 ÷ 5
Answer:
B) 80 × 5, then 400 ÷ 2
brainliest?
Claire can eat 3/4 of a pizza every 5 minutes. How much of a pizza can she eat in 1 minute?
Answer:
3/20 of the pizza
Step-by-step explanation:
To find how much she eats in one minute, you have to change the fraction into a decimal, which is 0.75, and divide that by 5. Once you've done that, you get 0.15 of the pizza in a minute. this can be simplified into the fraction 3/20.
Answer:
3/20
Step-by-step explanation:
If she can do 3/4 per 5 minutes, the amount in 1 minute is 1 fifth of 3/4, so multiply 3/4 by 1/5 to get 3/20.
Help!!! 30 points and brainliest
[tex]2x^{2} +6x - 5 = 0[/tex]
Answer:
Should be in the pic below
Step-by-step explanation:
Answer:
x = [tex]\frac{-3+\sqrt{19} }{2}[/tex] or x = [tex]\frac{-3-\sqrt{19} }{2}[/tex]
Step-by-step explanation:
We want to factor this. In order to factor it, we need to use the quadratic formula:
[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
Here, a = 2, b = 6, and c = -5, so plug these in:
[tex]x=\frac{-6+\sqrt{6^2-4*2*(-5)} }{2*2}=\frac{-6+\sqrt{76} }{4} =\frac{-6+2\sqrt{19} }{4} =\frac{-3+\sqrt{19} }{2}[/tex]
AND
[tex]x=\frac{-6-\sqrt{6^2-4*2*(-5)} }{2*2}=\frac{-6-\sqrt{76} }{4} =\frac{-6-2\sqrt{19} }{4} =\frac{-3-\sqrt{19} }{2}[/tex]
Thus, the answers are x = [tex]\frac{-3+\sqrt{19} }{2}[/tex] or x = [tex]\frac{-3-\sqrt{19} }{2}[/tex].
Hope this helps!
Which equation is true?
9x2 – 25 = (3x - 5)(3x – 5)
9x2 – 25 = (3x – 5)(3x + 5)
9x2 – 25 = -(3x + 5)(3x + 5)
9x2 - 25 = -(3x + 5)(3x - 5)
Answer:
9x2 – 25 = (3x – 5)(3x + 5)
Step-by-step explanation:
(3x – 5)(3x + 5)
= 9x² + 15x - 15x - 25
= 9x² - 25
Final answer:
The correct equation is 9x² – 25 = (3x – 5)(3x + 5), as it is the factored form of the difference of squares, where 9x² is the square of 3x and 25 is the square of 5.
Explanation:
The equation we are considering is 9x² – 25. We need to determine which of the provided options is a true equality. The equation 9x² – 25 is a difference of squares, which factors as (a² – b²) = (a – b)(a + b). In this case, a is 3x and b is 5 because (3x)² = 9x² and 5² = 25.
Thus, the factored form of the equation 9x² – 25 is (3x – 5)(3x + 5). So, the correct equation from the given options is 9x² – 25 = (3x – 5)(3x + 5).
4. When the length of each leg is 2
units, the ratio of the hypotenuse to
the leg is:
Answer:1.4
Step-by-step explanation:
Answer:
It is 1:4
Step-by-step explanation:
I got it right on ed.
You roll a die and pick a marble how many outcomes are possible
Answer: 12 because for each number on the die, you get 2 options: one marble or the other. So if it’s a six sided die, you have 12 possible outcomes. (2 times 6)
You roll a die and pick a marble, 12 outcomes are possible.
What is the probability?The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?
Given:
You roll a die and pick a marble.
When you roll a die,
you'll get either one marble or another.
So, there are 2 possibilities.
When you roll a die, there 6 possible outcomes.
And the total number of possible outcomes,
= 2 times 6
= 2x 6
= 12
Therefore, 12 outcomes are possible.
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A manager at an amusement park wants to know how popular the park's biggest roller coaster is. She counts the number of people waiting in line every half hour. The results are shown below.
19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37
Plot the values that represent the minimum, maximum, first quartile, median, and third quartile of the number of people waiting in line.
Plz help i have alot of trouble finding the quartials
The minimum value is 19, maximum is 37, median is 28.5, first quartile is 23.5, and third quartile is 33.5. These measures are calculated by organizing the data in ascending order and finding the middle and approximated middle values of the data set and its halves.
Explanation:First, let's arrange your data in ascending order: 19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37. There are 18 data points here.
The minimum value is 19 and the maximum value is 37.
To calculate the median (the middle number), since we have an even number of data points, we take the average of the 9th and 10th numbers. (28+29)/2 = 28.5.
Now, to find the first quartile (lower median), we look at the median of the lower half of the data (excluding the overall median if it's part of the data). The lower half of the data is: 19,20,21,22,23,24,26,27,28. So, we take the average of 23 and 24 which is 23.5.
For the third quartile (upper median), we look at the median of the upper half of the data. Here it is: 29,30,31,32,33,34,35,36,37. So, we take the average of 33 and 34 which is 33.5.
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The function F(x) = logo.75^x is decreasing.
O
A. True
O
B. False
Answer:
true
Step-by-step explanation:
We assume you intend your function to be ...
A logarithm with a base less than 1 is a decreasing curve. Here, the base appears to be 0.5, a value less than 1. Hence the curve is decreasing.
Yes, The function F (x) = log (0.75)ˣ is a decreasing function.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ F (x) = log (0.75)ˣ
Now, We know that;
If derivative of logarithmic function is less than 1 then, it is decreasing.
Here, The function is,
⇒ F (x) = log (0.75)ˣ
After differentiation,
⇒ F ' (x) = log 3 - log 4 < 1
Hence, The function F (x) = log (0.75)ˣ is a decreasing function.
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I understood the last one but now I have one that makes me solve for a short side
n^2 + 10^2 = 26^2
n^2 + 100 = 676
n^2 = 576
n = 24
log798
What is equivalent to it
Answer:
log 19 + log 42
Step-by-step explanation:
798 = 2* 3 *7*19
= 19 * 42
log 798 = log (19*42)
Now log ab = log a + log b
So:
log 798 = log 19 + log 42 <-- is equivalent to log 798.
Answer:
The answer is 2.356
The box plots show the average gas mileage, in miles per gallon, of cars and minivans tested by a certain company.
Cars
+
+
+
+
+
14
16
18
20
22
24
26
28
30
32
34
Minivans
Which correctly compares the interquartile ranges?
The interquartile range for cars is about 12 mpg, and the interquartile range for minivans is about 12 mpg.
The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about 3 mpg.
The interquartile range for cars is about 24 mpg, and the interquartile range for minivans is about 19 mpg.
The interquartile range for cars is about 8 mpg, and the interquartile range for minivans is about 7 mpg.
Answer:
b.The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about 3 mpg.
Step-by-step explanation:
i got it right
Answer:
The answer is B
Step-by-step explanation:
Which of the following shows the Identity Property for Addition?
A. 9 + (-9)=0
B. 9 + 0 = 9
C. 9 = 9
D. 9 x 1 = 9
please help in the question it should be if t=-6 when r =-2 its an error
Answer:
r = - [tex]\frac{12}{7}[/tex]
Step-by-step explanation:
Given that r varies inversely as t , then the equation relating them is
r = [tex]\frac{k}{t}[/tex] ← k is the constant of variation
To find k use the condition t = - 6 when r = - 2, then
- 2 = [tex]\frac{k}{-6}[/tex] ( multiply both sides by - 6 )
12 = k, thus
r = [tex]\frac{12}{t}[/tex] ← equation of variation
when t = - 7, then
r = [tex]\frac{12}{-7}[/tex] = - [tex]\frac{12}{7}[/tex]
A circular plot of land has a diameter of 14 yards. What is the area of the land? Use 3.14 for π.
Answer:
A =153.86 yd^2
Step-by-step explanation:
The area of a circle is given by
A = pir^2
We need to get the radius. We are given the diameter
r = d/2 = 14/2 =7
A = pi (7)^2
A =49pi
Using 3.14 for pi
A = 49 (3.14)
A =153.86 yd^2
The rectangle below has an area of x^2+8x+15x
2
+8x+15x, squared, plus, 8, x, plus, 15 square meters and a width of x+3x+3x, plus, 3 meters.
What expression represents the length of the rectangle?
Answer:
The length of the rectangle is x+5.
Step-by-step explanation:
Given : The rectangle below has an area of [tex]x^2+8x+15[/tex] square meter and a width of [tex]x+3[/tex] meter.
To find : What expression represents the length of the rectangle?
Solution :
The area of the rectangle is given by,
[tex]\text{Area}=\text{Length}\times \text{Breadth}[/tex]
[tex]\text{Area}=x^2+8x+15[/tex]
[tex]\text{Breadth}=x+3[/tex]
[tex]x^2+8x+15=\text{Length}\times(x+3)[/tex]
[tex]\text{Length}=\frac{x^2+8x+15}{x+3}[/tex]
[tex]\text{Length}=\frac{(x+5)(x+3)}{x+3}[/tex]
[tex]\text{Length}=x+5[/tex]
Therefore, the length of the rectangle is x+5.
Final answer:
The length of the rectangle is found by dividing the area (x² + 8x + 15) by the width (x + 3), which simplifies to x + 5 meters, as the (x + 3) factor cancels out.
Explanation:
To find the length of the rectangle, we can use the area formula for rectangles, which is area = length × width.
According to the question, the area of the rectangle is given by the quadratic expression x² + 8x + 15, and the width is given by x + 3. To find the length, we divide the area by the width:
length = ²/(x + 3)
² + 8x + 15 is factorable, and its factors are (x + 5)(x + 3), which simplifies to:
length = (x + 5)(x + 3)/(x + 3)
When the polynomial is factored, we can see that the (x + 3) terms cancel each other out:
length = x + 5
So, the expression representing the length of the rectangle is x + 5 meters. It is important to note that when dealing with units, one must ensure they are consistent. However, there is no need for conversion here since the area and width are already in terms of meters and square meters respectively.
which expressions represents a quadratic expression in factored form
Answer:
( x + 3 )( x - 7 ) and ( x + 1 )( x - 2 )
Step-by-step explanation:
Both of these represent 2 terms x 2 terms, so that means they are both in factored form.
Example:
NEED HELP FAST!!!!! The scatterplot represents the total fee for hours renting a bike. The line of best fit for the data is y = 6.855x + 10.215.
A graph shows hours of rental labeled 2 to 6 on the horizontal axis and cost in dollars on the vertical axis. A line increases from 0 to 6.
Which table shows the correct residual values for the data set?
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, 1.22, 1.315, negative 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, negative 1.22, negative 1.315, 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, 1.22, negative 1.315, 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.
Answer:
I was on a unit test so i couldn't look at the right answer but i believe it was A but i could be wrong
Step-by-step explanation:
The given data and line of best fit (function) of y = 6.855·x + 10.215 give
the table that shows the correct residual values as follows;
[tex]\begin{array}{|c|c|c|c|}x&Given& Residual \\1&14.95&-2.12\\2&25.50&1.575\\3&32&1.22\\4&38.95&1.315\\5&42.5&-1.99\end{array}\right][/tex]
How can the residual values be calculated?The residual values = Actual value - Predicted value
The given table is resented as follows;
[tex]\begin{array}{|c|c|c|c|}x&Given&Predicted = 6.855 \times x + 10.215& Residual = Actual - Predicted\\1&14.95&17.07&-2.12\\2&25.50&23.925&1.575\\3&32&30.78&1.22\\4&38.95&37.635&1.315\\5&42.5&44.49&-1.99\end{array}\right][/tex]
From the above completed table, the correct option is therefore;
[tex]\begin{array}{|c|c|c|c|}x&Given& Residual \\1&14.95&-2.12\\2&25.50&1.575\\3&32&1.22\\4&38.95&1.315\\5&42.5&-1.99\end{array}\right][/tex]Learn more about the line of best fit here:
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This equation shows how the total number of novels Brad has in his collection is related to the amount of money he spends on additional novels.
n = d
The variable d represents the amount of money he spends on additional novels, and the variable n represents the total number of novels in his collection. How much money does Brad need to spend on new novels in order to have a total of 69 novels in his collection?
Which relationship describes angle 1 and 2
Answer:A
Step-by-step explanation:
Which of the statements the graph below is true?
Answer:
B. The graph is linear and has an equation of y = -x + 18
Step-by-step explanation:
if the equation was y = -2x + 18 then the graph would look like a staircase and the graph looks linear
The statements about the box plot in Figure A2 are analyzed and determined to be true or false.
Explanation:The graph in Figure A2 is a box plot. Let's go through each statement and determine if it is true or false.
A. Twenty-five percent of the data are at most five: True. The box extends from the first quartile (Q1) to the third quartile (Q3), which represents the middle 50% of the data. The line inside the box is the median, and the whiskers extend to the minimum and maximum values. In this case, the box goes up to five, indicating that 25% of the data are at most five.
B. There is the same amount of data from 4-5 as there is from 5-7: False. The box plot shows the range of values within the quartiles. In this case, the range from 4-5 is smaller than the range from 5-7, indicating that there is more data in the latter range.
C. There are no data values of three: True. The box plot does not have any outlier points at the value of three, indicating that there are no data values at that point.
D. Fifty percent of the data are four: False. The median value in the box plot is the value that divides the data into two equal halves. In this case, the median is not at four, so 50% of the data are not equal to four.
A marker is almost 14 centimeters long. This length ends between
which two centimeter-marks on a ruler? Enter the smaller centimeter-
mark first.
centimeter-mark and the
The length ends between the
centimeter-mark.
Answer:
It ends between 13cm and 14cm mark.
Step-by-step explanation:
Since this marker in question is almost 14 centimeters long and definitely ends between two centimeter marks, the two centimeters that the length of this marker ends between on a ruler should be the 13cm and 14cm marks on the ruler.
Final answer:
The length of a marker almost 14 centimeters long ends between the 13 centimeter-mark and the 14 centimeter-mark on a ruler.
Explanation:
When measuring a marker that is almost 14 centimeters long, we look at the ruler and identify the two consecutive centimeter marks between which the length of the marker falls. If the marker is almost 14 centimeters long, this means it is greater than 13 centimeters but less than 14 centimeters.
Therefore, we can confidently say that the marker's length lies between the 13 centimeter-mark and the 14 centimeter-mark on the ruler. The smaller centimeter-mark would be 13, as it is the immediately preceding whole centimeter before the marker ends.
ERGENT I NEED HELP ON ATH PROBLEM
Answer:
Kite, Parallelogram, and Rectangle.
Step-by-step explanation:
BTW, you spelled Urgent wrong.
The answers are, Kite, Parallelogram, and Rectangle.
Answer:
Kite, Parallelogram, and Rectangle.
Step-by-step explanation:
BTW, you spelled Urgent wrong.
The answers are, Kite, Parallelogram, and Rectangl
Use the distributive property to fill in the blanks below.
(5 x 8) + (5 x 7) = 5 x (blank+blank)
Fill in the blanks please and respond quickly.
will give extra points for correct and fastest responder
A can contains 40 chips: 10 each of read and blue, 12 pink, and the remaining black.If Susan were to remove 3 black and 2 red chips, what is the probability that next one she removes is black? Please Help!
Answer:
1:7
Step-by-step explanation:
R = RED | B = BLUE | P = PINK | BL = BLACK | c = chips
10R + 10B + 12P = 32 chips
40c - 32c = 8 black chips
8BL - 3BL = 5 black chips
10R - 2R = 8 red chips
2R + 3BL = 5 chips
40c - 5c = 35 chips
5BL : 35c = 1:7
The probability that next one Susan removes is black chips is 1/7.
What is probability?
The probability is defined as the possibility of an event is equal to the ratio of the number of outcomes and the total number of outcomes.
Total no. of chips = 40
No. of red chips = 10
No. of blue chips = 10
No. of pink chips = 12
No. of black chips = 8
If Susan were to remove 3 black and 2 red chips
So, No. of available black chips = 8 -3 = 5
No. of available red chips = 10 - 2 = 8
Total removed chips = 5
Total no. available of chips = 35
The probability that next one Susan removes is black chips = 5/35 = 1/7
Hence, the probability that next one Susan removes is black chips is 1/7.
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for the given function f(x)=2x+4,find f(12)
Answer:
f(12) = 28
Step-by-step explanation:
All you have to do is plug in 12 as x.
f(12) = 2(12) + 4
= 24 +4
= 28
And you're done! :)
Answer:
f(12)=28
Step-by-step explanation:
We want to find what y or f(x) is when x equals 12
To find f(12), substitute 12 in for x
f(x)=2x+4
f(12)=2(12)+4
Multiply
f(12)=24+4
Add
f(12)=28
Please help!
Will mark as brainliest for answering questions 10-16!
Please and thank you guys so much, hope you guys are protected from Coronavirus!
Answer:
10. Perimeter = 56 ft ; Area = 195 sq. ft.
11. If my math is correct, Perimeter = 76 km ; Area = 706 sq. km
12. Circumference = 100[tex]\pi[/tex] cm ; Area = 2500[tex]\pi[/tex] sq. cm
13. Circumference = 24[tex]\pi[/tex] ft. ; Area = 144[tex]\pi[/tex] sq. ft.
14. Perimeter = 62 ft. ; Area = 238 sq. ft.
15. Circumference = 22[tex]\pi[/tex] yd. ; Area = 121[tex]\pi[/tex] sq. yd.
16. Perimeter = 40 mm ; Area = 100 sq mm
Step-by-step explanation:
1.
Carmen tosses two coins and records the outcomes. Her results are recorded in the table
below. She intends to toss two coins an additional 250 times. Based on the data in the table,
how many times will both coins land on tails or both coins land on heads?
Toss phone : 1 2 3 4 .5 | 6 7 | 8 | 9 | 10
| First coin, IHI HITITITIHITEHIHTT.
Second coin | TTT HITTA HITH
eco
im
The expected number of times that both coins will land on the same result in 250 throws is given as follows:
100 tosses.
How to obtain the expected number?The expected number is obtained applying the proportions in the context of the problem.
In the 10 tosses, 4 resulted in the same result for both coins, hence the proportion of the same result is given as follows:
4/10 = 0.4.
Hence, out of 250 tosses, the expected amount is given as follows:
0.4 x 250 = 100 tosses.
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Which of the following is the best solution to | x + 11 | < 17?
Hey there!
| x + 11| < 17
Solving for your ABSOLUTE VALUE
x + 11 < 17 ; x + 11 > -17
Solving solution #1
x + 11 < 17
SUBTRACT by 11 on your sides
x + 11 - 11 < 17 - 11
Cancel out: 11 - 11 because it gives you 0
Keep: 17 - 11 because it helps us compare with x
17 - 11 = 6
Answer #1: x < 6
Solving solution #2
x + 11 > -17
SUBTRACT by 11 on your sides
x + 11 - 11 > -17 - 11
Cancel out: 11 - 11 because it gives you the value of 0
Keep: -17 - 11 because it helps us compare with x
-17 - 11 = -28
Answer #2: x > -28
Overall answer: x < 6 and x > -28
Its an OPEN circle shaded to the left
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)