Connor can travel 2 3/4 miles in 2 1/2 hours. What is his average speed in miles per hour?
Answers
Answer:
C 1.1 mph
Step-by-step explanation:
Divide 2 3/4 by 2 1/2 to get 1.1
Related Questions
Caleb is comparing the growth of plants using two different fertilizers
Part A use the measures of center from the box plots to make an inference about the data. Use the drop down menus to explain your answer
Part B use the box plots to make an inference using the variability of the data. Drag words to complete the statement. Words may be used once, more than once, or not at all.
Answers
Answer: Medians, Less
Part A
Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.
Based on the medians, the plants in Group A grew
less on average, as compared to the plants in Group B.
Part B Answer: Greater, Less
The range and IQR are greater
in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.
Answer:
Answer: Medians, Less
Part A
Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.
Based on the medians, the plants in Group A grew
less on average, as compared to the plants in Group B.
Part B Answer: Greater, Less
The range and IQR are greater
in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.
Step-by-step explanation:
Chapman wants to buy a pair of AirPods however he currently has only 20 he then decides to begin saving his monthly allowance until he has enough for his purchase. After two months, he has saved a total of $66, including his initial $20. Select the linear equation that models S, The total amount of money he will have saved, X months after he begins saving his allowance
Answers
Answer:
C
Step-by-step explanation:
i think its c but i cant be to sure im only in the 7th grade :) i hope its right
a soccer team lost 30% of their games. If they played 20 games, how many did they win
Answers
Answer:
14
Step-by-step explanation:
100% - 30%= 70% (the times they've won)
0.7x20=14
In a time of t seconds, a particle moves a distance of s meters from its starting point, where s = 6t^2 + 4.
(a) Find the average velocity between t = 1 and t = 1 + k if (i) h = 0.1 (ii) h = 0.01 (iii) h = 0.001 Enter the exact answers.
(i) When h = 0.1, the average velocity between t = 1 and t = 1 + h is m/sec.
(ii) When h = 0.01, the average velocity between t = 1 and t = 1 + h is m/sec.
(iii) When h = 0.001, the average velocity between t = 1 and t = 1 + h is m/sec.
(b) Use your answers to part (a) to estimate the instantaneous velocity of the particle at time t = 1. Round your estimate to the nearest integer. The instantaneous velocity appears to be m/sec.
Answers
Answer:
(a)
i) [tex]V=12.6m/s[/tex]
ii) [tex]V=12.06m/s[/tex]
iii) [tex]V=12.006m/s[/tex]
(b)
[tex]V = 10m/s[/tex]
Step-by-step explanation:
Given
[tex]s = 6t^2 + 4[/tex]
Solving (a): Average velocity between t = 1 and t = 1 + h
When t = 1
[tex]t_1 = 1[/tex]
[tex]s_1 = 6t^2 + 4 = 6 * 1^2 + 4 = 6 + 4 =10[/tex]
i) h = 0.1
When t = 1 + h
[tex]t_2 = 1 + 0.1 = 1.1[/tex]
[tex]s_2= 6t^2 + 4 = 6 * (1.1)^2 + 4 = 11.26[/tex]
Average velocity is then calculated as:
[tex]V = \frac{s_2 - s_1}{t_2 - t_1}[/tex]
[tex]V = \frac{11.26 - 10}{1.1- 1} = \frac{1.26}{0.1} = 12.6[/tex]
[tex]V=12.6m/s[/tex]
ii) h = 0.01
When t = 1 + h
[tex]t_2 = 1 + 0.01 = 1.01[/tex]
[tex]s_2= 6t^2 + 4 = 6 * (1.01)^2 + 4 = 10.1206[/tex]
Average velocity is then calculated as:
[tex]V = \frac{s_2 - s_1}{t_2 - t_1}[/tex]
[tex]V = \frac{10.1206 - 10}{1.01- 1} = \frac{0.1206}{0.01} = 12.06[/tex]
[tex]V=12.06m/s[/tex]
ii) h = 0.001
When t = 1 + h
[tex]t_2 = 1 + 0.001 = 1.001[/tex]
[tex]s_2= 6t^2 + 4 = 6 * (1.001)^2 + 4 = 10.012006[/tex]
Average velocity is then calculated as:
[tex]V = \frac{s_2 - s_1}{t_2 - t_1}[/tex]
[tex]V = \frac{10.012006 - 10}{1.001- 1} = \frac{0.012006 }{0.001} = 12.006[/tex]
[tex]V=12.006m/s[/tex]
Solving (b): Instantaneous velocity at t = 1
When t = 1
[tex]t = 1[/tex]
[tex]s = 6t^2 + 4 = 6 * 1^2 + 4 = 6 + 4 =10[/tex]
Velocity is:
[tex]V = \frac{s}{t}[/tex]
[tex]V = \frac{10}{1}[/tex]
[tex]V = 10m/s[/tex]
another expression 3/4÷6
Answers
Answer:
1/16 + 1/16
..............................
Answer:
3/4 x 1/6
Step-by-step explanation:
both would end up as 1/8
hope this helps :)
WILL MAKE BRAINLIEST!!!
what is the slope of each line?
Answers
Answer:
The line has a slope of 2.
Step-by-step explanation:
We can see that this line intersects (-3, -4) and (-1, 0), so it's slope, Δy/Δx, will be:
(-4 - 0) / (-3 - (-1))
= -4 / -2
= 2
A radio that costs $29.49 was marked up by 35%
Answers
Answer:
the new price of the radio is $39.81
Step-by-step explanation:
multiply the cost by the mark up to find how much the price was raised by
29.49•0.35= 10.32
then add the mark up to the original price
10.32+29.49= $39.81
and I rounded to the hundreds place because it's money
hope this helps babe <3
Answer:
I think it is $21.84
Step-by-step explanation:
2/7 of 49
fractions
Answers
Answer:
14
Step-by-step explanation
5.5 + n = 10 please help
Answers
Answer:
n = 4.5
Step-by-step explanation:
10 - 5.5 = n
Answer:
I feel like its 4.5
Step-by-step explanation:
Please help me with the math please?
Answers
Answer:
count how many flowers there are on number 1
Answer:
okay so 3. equals 20
4. 1st one 2nd one 3rd one equals 30
5. first one 2nd one 3rd one equals 30
6. first one second one equals 20
7. first one second one equals 20
Step-by-step explanation:
pls answer no scams ty
Answers
Answer:
x<3
Step-by-step explanation:
-9.5x-1.5>-30
move the constant to the right
-9.5x>-28.5
divide both sides to get x<3
Answer:
3.3
Step-by-step explanation:
what is the area of the shaded region ?
Answers
Answer: The area is 8 it litterally tells you there
Step-by-step explanation:
Help I’m doing 8th grade work
Answers
Answer:
I think B by I'm not sure
Step-by-step explanation:
I'm not good with this subject
What is the slope and y-intercept of the function
f(x) = - 7 + 3x
A. m= 1/3 b= 7
B. m= -3 b= -7
C. m=3 b =-7
D. m= -1/3 b= 7 7
Answers
Answer: the answer is C. M= 3 and B= -7
the slope is always with the (x) and the b is by itself
HELP PLEASE ANYONE STEP BY STEP TIMED
Answers
Answer:
[tex]\huge\boxed{\text{B) 4}}[/tex]
Step-by-step explanation:
We can use the properties of some of these circles to solve and find the value of x.
FIrst off - we know that to find the side of a right triangle we can use the Pythagorean Theorem, which states that [tex]a^2 + b^2 = c^2[/tex] (a and b being legs, c being the hypotenuse.)
Finding the hypotenuseWe also know that this triangle is in a circle. Part of the hypotenuse and the altitude of the triangle are in the circle.
Point W is the center of the circle. Therefore, any points stretching to the edge from it will be equal (since this is a circle).
With this knowledge - UW and WZ are equal.
Therefore, since UW is [tex]x-1[/tex], WZ will be too.
We also know the length of VZ. We can add this to WZ to find the length of the whole hypotenuse.
[tex]\displaystyle x-1+2 \\ x+1[/tex]
So the length of the hypotenuse, WV, is [tex]x+1[/tex].
Finding the value of xNow that we know the length of the hypotenuse, we can use the Pythagorean Theorem like we stated before to find the value of x.
We know the two legs are [tex]x-1[/tex] and [tex]2x-4[/tex], while the hypotenuse is
[tex]\displaystyle (x-1)^2 + (2x-4)^2 = (x+1)^2[/tex] [tex](x^2 - 2x + 1) + (4x^2-16x+16) = (x^2 + 2x + 1)[/tex] (use FOIL to find the value of each expression squared) [tex]5x^2 - 18x + 17 = x^2 + 2x + 1[/tex] (simplify the left side) [tex]4x^2 -20x + 16 = 0[/tex] (subtract both sides by [tex]x^2 +2x + 1[/tex]) [tex]x = \frac{{ -b \pm \sqrt {b^2 - 4ac} }}{{2a}}[/tex] (Quadratic formula) [tex]\frac{{ -(-20) \pm \sqrt {(-20)^2 - 4 \cdot 4 \cdot 16} }}{{2 \cdot 4}}[/tex] (plug in values from equation) [tex]\frac{{ 20 \pm \sqrt {400 - 256} }}{8}}[/tex] (simplify) [tex]\frac{{ 20 \pm \sqrt {144} }}{8}}[/tex] (simplify) [tex]\frac{{ 20 \pm 12 }}{8}}[/tex] (simplify) [tex]\displaystyle x = \frac{20+12}{8} \ \text{and} \ \frac{20-12}{8}[/tex] (use plus/minus to find two roots) [tex]\displaystyle x = \frac{32}{8} \ \text{and} \ \frac{8}{8}[/tex] (simplify) [tex]\displaystyle x = 4 \ \text{and} \ 1[/tex]1 can not be a possible answer because UW would end up being [tex](1-1) = 0[/tex] units long! This isn't possible!
Therefore, the correct answer would be B) 4.
Hope this helped!
Determine whether the given answer is a Solution or Not a Solution
x<6 x=3
x≥10 x=10
x>−3 x=−6
x≤15 x=20
x<9 x=9
x≥8 x=12
Answers
Answer:
1- yes
2- yes
3- no
4- no
5- no
6- yes
Step-by-step explanation:
NEED HELP FOR THIS QUESTION
I want to buy some Botswana pulas and the exchange rate is 8.25 BWP = £1 if I buy them abroad using a credit card or 8.5 BWP = £1 for a cash transaction at a Bureau de Change. The credit card company will charge me 2.3% commission on a credit card transaction whereas a Bureau de Change charges 2% commission plus a fee of £3.
Write down an expression for the cost (including commission) of buying a particular number of Botswana pulas
(a) by credit card and
(b) from a Bureau de Change.
c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.
d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.
Answers
Answer:
(a) A = 0.00278787878787878x
(b) B = 0.00235294117647058x + 3
(c) The answers are as follows:
For buying by credit card
For 700 BWP: Cost = A = £1.95
For 800 BWP: Cost = A = £2.23
For 800 BWP: Cost = A = £2.79
For buying from a Bureau de Change
The equation (4) is used as follows:
For 700 BWP: Cost = B = £4.65
For 800 BWP: Cost = B = $4.88
For 1000 BWP: Cost = B = £5.35
(d) You would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.
Step-by-step explanation:
(a) by credit card
For the exchange rate, we have:
8.25 BWP = £1 ⇒ 8.25 / 8.25 BWP = £1 / 8.25 = 1.00 BWP = £0.121212121212121
The expression can therefore be written as follows:
A = £0.121212121212121 * r * x ................. (1)
Where;
A = cost (including commission) of buying a particular number of Botswana pulas by credit card
r = commission on a credit card transaction = 2.3%, or 0.023
x = the number of pulas bought
Substituting for r into equation (1), we have:
A = £0.121212121212121 * 0.023 * x
A = 0.00278787878787878x ................. (2)
Equation (2) is the expression.
(b) from a Bureau de Change
For the exchange rate, we have
8.5 BWP = £1 ⇒ 8.5 / 8.5 BWP = £1 / 8.5 = 1.00 BWP = 0.117647058823529
B = (£0.117647058823529 * r * x) + F ................. (3)
Where;
B = cost (including commission) of buying a particular number of Botswana pulas by from a Bureau de Change.
r = commission charged by Bureau de Change. = 2%, or 0.02
x = the number of pulas bought
F = fee = £3
Substituting for r and F into equation (3), we have:
B = (£0.117647058823529 * 0.02 * x) + £3
B = 0.00235294117647058x + 3 ................. (4)
Equation (4) is the expression.
c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.
For buying by credit card
The equation (2) is used as follows:
For 700 BWP: A = £0.00278787878787878 * 700 = £1.95
For 800 BWP: A = £0.00278787878787878 * 800 = £2.23
For 800 BWP: A = £0.00278787878787878 * 1000 = £2.79
For buying from a Bureau de Change
The equation (4) is used as follows:
For 700 BWP: B = (£0.00235294117647058 * 700) + £3 = £1.65 + £3 = £4.65
For 800 BWP: B = (£0.00235294117647058 * 800) + £3 = £1.88 + £3 = $4.88
For 1000 BWP: B = (£0.00235294117647058 * 1000) + £3 = £2.35 + £3 = £5.35
d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.
This can be calculated by equating equations (2) and (4) and then solve for x as follows:
0.00278787878787878x = 0.00235294117647058x + 3
0.00278787878787878x - 0.00235294117647058x = 3
x(0.00278787878787878 - 0.00235294117647058) = 3
x0.0004349376114082 = 3
x = 3 / 0.0004349376114082
x = 6,897.54 pulas
Therefore, you would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.
find the unknown sizes of angle in the following figures
Answers
Answer:
each missing angle is 120°
Step-by-step explanation:
What you have is a kite so the two missing angles are equal.
The sum of all four angles = 360°
2y = 360° - 88° - 32° = 240°
y = 120°
There is a theory that children wearing superhero costumes are more likely to harm themselves because of the unrealistic impressions of invincibility that these costumes could create. Below there is data about the severity of injury (on a scale from 0, no injury, to 100, death) for children reporting to the emergency center at hospitals and information on which superhero costumes they were wearing (Spiderman, Superman, Batman).
Spiderman Superman Batman
55 68 26
31 32 47
58 85 30
20 69 35
47 58 53
37 52 43
Compute the following descriptive statistics for each group. (30 points total)
a. Mean
b. Sample size (n) for each group
c. Standard Deviation
d. Square root of n
e. Standard error of the mean (SEM)
Answers
Answer:
[tex]Mean = 47[/tex]
[tex]n = 6[/tex]
[tex]s= 16.56[/tex]
[tex]\sqrt n = 2.45[/tex]
[tex]SEM = 11.55[/tex]
Step-by-step explanation:
Given: The above data
Solving (a): Mean of each group
Mean is calculated as:
[tex]Mean = \frac{\sum x}{N}[/tex]
[tex]Mean = \frac{55 + 31 + 58 + 20 + 47 + 37+68 + 32 + 85 + 69 +58 + 52+26 + 47 + 30 +35 + 53 + 43}{18}[/tex]
[tex]Mean = \frac{846}{18}[/tex]
[tex]Mean = 47[/tex]
Solving (b): The sample size of each group
This is the number of rows in each group.
Hence:
[tex]n = 6[/tex]
Solving (c): Standard deviation (s)
This is calculated as:
[tex]s = \sqrt{\frac{\sum (x - \bar x)^2}{N}}[/tex]
So, we have:
[tex]s= \sqrt{\frac{(55 - 47)^2 + (31 - 47)^2 +......... + (43 - 47)^2}{18}}[/tex]
[tex]s= \sqrt{\frac{4936}{18}}[/tex]
[tex]s= \sqrt{274.22}[/tex]
[tex]s= 16.56[/tex]
Solving (d): Square root of n
[tex]\sqrt n = \sqrt 6[/tex]
[tex]\sqrt n = 2.45[/tex]
Solving (e): SEM
This is calculated as:
[tex]SEM = \frac{s}{\sqrt N}[/tex]
[tex]SEM = \frac{47}{\sqrt{16.56}}[/tex]
[tex]SEM = \frac{47}{4.07}[/tex]
[tex]SEM = 11.55[/tex]
What is the area of the object above?
A.
158 sq cm
B.
94 sq cm
C.
142 sq cm
D.
102 sq cm
Answers
Answer:
102cm2
Step-by-step explanation:
Split the shape into two rectangles:
A. 4 x 8 = 32cm2
B. 7 x 10 = 70cm2
70 + 32 = 102cm2
6 ft = ____ yd
6 ft = 6 x 1 ft
= 6 x ____ yd
= ____ yd
Answers
Answer:
6 ft = 2 yd
6 ft = 6 x 1 ft
= 6 x 2 yd
= 12 yd
1. Two walls of a room or being painted each measure 16 6/2' how many square feet will be painted
2. A rectangular canvas covers 225 inches on a wall if the canvas has a height of 18 inches then what is the base
Answers
Answer:
3.167 ft²
12.5 inches
Step-by-step explanation:
1.)
Measure of each wall : 16 6/2 '
Number of walls = 2
Total area to be painted :
16 6/2' * 2 = (16 + 3) * 2 = 19 * 2 = 38 inches
1 feet = 12 inches
x = 38 inches
12x = 38
x = 38 / 12 = 3.167 ft²
2.)
Area of rectangular canvas = 225
Height = 18
Base, b =?
Area of rectangle = height * base
225 = 18 * b
225 / 18 = 18b / 18
12.5 = b
Base = 12.5 inches
What are the solutions to this equation?
7x7 - 28 = 0
OA.
-2 and 1
2
OB.
I = -4 and 1
4
O C.
1
|--V7 and r
V7
D.
=
E –V2 and I
V2
2
Answers
Step-by-step explanation:
7x^2-28=0
x^2-4=0
x^2=4
x=-2
x=2
The graph of a sine function is shown. Plot the line that represents the midline of this periodic function.
Answers
Answer: The midline should be a horizontal one, at y=4
Step-by-step explanation: See above answer.
Midline of the periodic function given in the picture will be y = 4.
Mid-line of the periodic function: Midline of a periodic function is the line located half-way between the maximum and the minimum values.
From the graph attached in the question,
Maximum value of the periodic function → y = 5
Minimum value of the function → y = 3
Midline of the function → [tex]y=\frac{3+5}{2}[/tex] ⇒ y = 4
Therefore, midline of the periodic function given in the picture will be y = 4.
Learn more about the midline of the periodic function here,
https://brainly.com/question/11749227?referrer=searchResults
Write the equation of the line in fully simplified slope intercept form
Answers
Answer: right of the picture
Step-by-step explanation:
Which is the graph of y=-x-3?
Answers
Either graph A or C, i'm leaning more towards A
A
Step-by-step explanation:
because slope is 3/4 and y-intecept is (0,-3)
Calculate the length of the unknown side of this right-angled triangle.
9 cm
8 cm
Answers
Answer:
12.04
Step-by-step explanation:
Formula:
a² + b² = c²
8² + 9² = c²
64 + 81 = c²
145 = c²
c = 12.04
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 3840 seats. The students left 2496 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answers
Answer:
35%
Step-by-step explanation:
Answer:
35%
Step-by-step explanation:
First, we must calculate how many seats are taken by 6th graders. We do this by subtracting the total seats by vacant seats. 3840-2496=1,334. Then, we must find the percent of students that were 6th grade who filled the seats. We do this by dividing all the chairs taken by the 6th graders and divide it by the total chairs which gets you .35. And with percentages, you move the decimal place two times to the right which gets you 35%.
If the perimeter of A is 36ft and the perimeter of B is 48 ft, what is the perimeter of square C?
Answers
Answer:
64
Step-by-step explanation
48/36=4/3
36x4/3=48 so...
48x4/3=64
Answer:
64
Step-by-step explanation:
the ratio of the angle measures of a pentagon is 4:5:3:8:7. what is the measure of the smallest angle. help pleasee
Answers
Answer:
geometry
The ratio of the angle measures of a pentagon is 4:5:3:8:7. What is the measure of the smallest
The sum of the interior angles of a pentagon is 180(5-2) = 540º
so
4x + 5x + 3x + 8x + 7x = 540
solve for x and sub into 3x