Jason drove 8 4/5 miles to a subway station. He then 15 /6 miles by taxi to attend a meeting. How many total miles did he travel?
Answers
Answer:
Option A: (23 + 29/30) miles
Step-by-step explanation:
Here we just need to add two mixed numbers.
(8 + 4/5) miles and (15 + 1/6) miles.
To add these, we just separate between the whole part and the fraction part:
(8 + 4/5) miles + (15 + 1/6) miles
= (8 + 4/5 + 15 + 1/6) miles
= (8 + 15 + 4/5 + 1/6) miles
= (23 + 4/5 + 1/6) miles
Now we need to find a common multiple between 6 and 5.
So, only analyzing the fraction part of the sum, we can rewrite:
4/5 + 1/6
= 4/5*(6/6) + 1/6*(5/5)
(notice that we are multiplying both numbers by one, so we do not change the expression's value)
= (4*6)/(5*6) + (1*5)/(6*5)
= 24/30 + 5/30
So now both fractions have the same denominator.
Then, replacing that in the sum equation we get:
(23 + 4/5 + 1/6) miles = (23 + 24/30 + 5/30) miles
= (23 + 29/30) miles
Then the correct option is option A.
Related Questions
What is the Standard Form of 82?
Answers
Answer:
8.2 x 10^1
Step-by-step explanation:
given the degree of measure of angle KJH is 66 degrees find the measure in radians
Answers
9514 1404 393
Answer:
E) 0.366π
Step-by-step explanation:
There are π/180 radians in a degree.
66° = 66°(π/180°) = (66/180)π = 11/30π ≈ 0.366π radians
__
11/30 = 0.366... repeating, so would normally be rounded to 0.367
Evaluate the expression 18 - 5 + 4 / 5 x 1
Answers
Answer:
18 - 5 + 4 / 5 x 1
18-5+4/5
13+4/5
(75+4)/5
79/5
hope it is helpful to you
The dot plots show the heights of boys and girls at a summer camp. Heights of Boys and Girls at Camp 2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60. Which is a true statement for most of the data in each plot? Most of the data in each plot are greater than 48. Most of the data in each plot are less than 48. Most of the data in each plot are around 52. Most of the data in each plot are around 54.
Answers
Answer:
A- most of the data in each plot is greater than 48
Step-by-step explanation:
took the test
Answer:
a
Step-by-step explanation:
a
Two of the vertices of a triangle are located at (6,0) and (5,10) on the coordinate plane. The third vertex is located at (x,20) , where x is a negative value. The area of the triangle is 60 square units.
Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, write an equation that can be used to find the value of x .
PLEASE I NEED HELP! ASAP I WOULD REALLY APPRECIATE IT!!
Answers
Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, the value of x is -8.
What is Shoelace formula ?Area of Polygon can be calculated using Shoelace formula described by Mathematician and Physicist Carl Friedrich Gauss where polygon vertices are described by their Cartesian coordinates in the Cartesian plane.
A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]
Shoelace formula (Green’s Theorem)
A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]
Where A is the area of the polygon and n is the number of sides of the polygon.
Here A = 6, n = 3, [tex]x_{1}[/tex] = 6, [tex]y_{1}[/tex] = 0, [tex]x_{2}[/tex] = 5, [tex]y_{2}[/tex] = 10, [tex]x_{3}[/tex] = [tex]x[/tex], [tex]y_{3}[/tex] = 20
A = 60 = [tex]\frac{1}{2} |(6.10)+(5.20)+(x.0)-(5.0)-(x.0)-(6.20)|[/tex]
60 = [tex]\frac{1}{2} |60+100-10x-120|[/tex]
60 = [tex]\frac{1}{2} |40-10x|[/tex]
60 = [tex]|20-5x|[/tex]
So 20 - 5x = -60
5x = 80
x = 16
20 - 5x = 60
5x = -40
x = -8
since x is a negative value,
we can know x = -8
Hence the value of x is -8.
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Can someone help me please
Answers
Answer:
4) 60 ft.²
5) 96 cm.²
6) 96
7) 126
8) 72
9) 32
10) 90
11) 216
(Formula for the area of a rectangle: length x width)
(Remember to follow PEMDAS when calculating the problems.)
WILL GIVE
BRAINLIST
...
.
Answers
Answer:
b. gain of 279 pounds
Step-by-step explanation:
107+85-27+114 = 279
Answer:
9100 + 107 + 85 - 27 + 114
Total weight = a. 9379 pounds
Suppose that the store manager of a small rural pharmacy is doing a linear regression of daily sales of over-the-counter (OTC) decongestant nasal sprays on forecasted pigweed pollen count. He would like to determine if he can use a straight ine equation to predict OTC decongestant nasal spray sales from the allergy forecast for pigweed pollen. The store manager records the data for five random days. The pollen forecast is for pigweed only and is given in parts per square meter (ppm )2
Pollen forecast OTC decongestant sales (dollars)
14 $101
19 $89
13 $48
6 $21
9 $47
The store manager calculates the regression equation for the data as 5.514x-6.073.
Determine the standard error of the slope of the regression line, SEb, for the data. Give your answer precise to at least three decimal places SE=______.
Answers
Answer:
3.83
Step-by-step explanation:
Mean of x = Σx / n
Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2
Sum of square (SS) :
(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8
Mean of y = Σy / n
Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2
Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8
df = n - 2 = 5 - 2 = 3
Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6
√(Σ(y - ybar)² / df) = √1449.6 = 38.074
Standard Error = √(Σ(y - ybar)² / df) / √SS
Standard Error = 38.074 / √98.8
Standard Error = 3.83
Write an inequality for the graph
Answers
A closed circle means the inequality will be greater than (>) or less than (<)
An arrow pointing right to increasingly positive values means the inequality is getting greater (> or ≥)
A narrowing pointing left to increasingly negative values means the inequality is getting lesser (< or ≤)
So for this graph with an open circle and rightward pointing arrow, “x” will be some number on the number line greater than the first point of -38:
x > -38
27. A bag contains 2 red and 4 yellow apples. Brandon selects 2 apples at random. What
is the probability that he has chosen 2 yellow apples?
Answers
Answer:12/30
Step-by-step explanation:
Total apple =6
Yellow apples = 4
4/6
3/5
(4/6)*(3/5)= 12/30
Solve using Quadratic formula simplified square root
Answers
Answer:
Step-by-step explanation:
Select all the equations that are equivalent
Answers
Answer:
52=8n +4
4=52-8n
are equivalent
Answer:
a, b, c, e
Step-by-step explanation:
4(2n + 1) = 52 is the same as 52 = 8n + 4 if you use distributive property.
4 = 52 - 8n is the same as 52 = 8n + 4. The 8n is just subtracted from both sides.
4n = 48 is not the same as 4(2n + 1) = 52 or 52 = 8n + 4 or 4 = 52 - 8n.
n = 6 is the solution to the equation so it is equivalent.
What is the volume, in cubic cm, of a rectangular prism with a height of 10cm, a width of 20cm, and a length of 11cm?
Answers
Answer:
2200 cubic cm
Step-by-step explanation:
The volume of a rectangular prism is found using the formula:
V = l*w*h
V = 10 cm * 20 cm * 11 cm
V = 2200 cubic cm
Answer: 2200
Step-by-step explanation:
i need help with this math
Answers
Answer:
Perimeter = 56
Area = 196
Step-by-step explanation:
We use the Pythagorean theorem to calculate the half-length of the sides (a):
a² + a² = (7√2)²2a² = 7² * 22a² = 98a = 7Half of a side is 7, meaning that the full length is 14.
With that in mind we can calculate the perimeter and area:
Perimeter = 14 * 4 = 56Area = 14² = 196PLEASE PLEASE PLEASE look below I am crying
Answers
Answer:
it's C
Step-by-step explanation:
Imagine a coordinate plane. Move 5 units away, you'll end up with (-5, 2).
Hope I helped
Find the LCD of the given rational equation: 9/x-1+-3x/x+6=4x/x^2-7x+6
Answers
Answer: the answer would be A.
(x-1)(x-6)(x+6)
Step-by-step explanation:
a p e x
The LCD of the given expression is (x-1)(x-6)(x+6).
What is LCD?
The least common denominator (LCD) is the smallest number or expression that can be a common denominator for a set of fractions.
What is the LCD in the given expression?
Factor the denominator of the right side of the equation.
[tex]\frac{9}{x-1}-\frac{3x}{x+6}=\frac{4x}{(x-1)(x-6)}[/tex]
From this, it is conclude that the common denominator will be [tex](x-1)(x-6)(x+1)[/tex].
Therefore, the LCD of the given expression is (x-1)(x-6)(x+6).
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Suppose A and B are independent events. If P(A) = 0.6 and P(B) = 0.85, what is P(A and B)?
A. .34
B. .51
C. .17
D. .68
Answers
Answer:0.51 I just took the test
Step-by-step explanation:
Using no other digits except 2 and 5 write down, if possible, a three-digit multiple of 6
Answers
Answer:
255
522
525
252
225
552
Step-by-step explanation:
IM NOT SURE
Answer:
A three-digit multiple of 6 that uses no other digits except 2 and 5 is 252.
Step-by-step explanation:
The question is basically asking a number that only uses 2 and 5 that is divisible by 6.
When you divide 252 by 6, you get 42, and this proves that 252 is a multiple of 6.
help pls!!!! would be appreciated thank you
Answers
Answer:
fairly sure its not the fourth one or the second one- so that narrows it down to the first and third one
Step-by-step explanation:
3. Write an equation of the line that passes through (2, 3) and is perpendicular to y=-1/2x - 5
Answers
Answer:
y=2x-1
Step-by-step explanation:
A line that is perpendicular has a slope that is a negative reciprocal of the given equation. The slope of the given equation is -1/2, so the negative reciprocal would be 2.
Then, using slope-intercept form, plug in the point values (2,3) into the equation and solve for b.
y=mx+b
y=2x+b
3=2(2)+b
-1=b
Therefore the equation is y=2x-1
Population Inferences
The Mitchell Junior High newspaper staff conducted two samples in which 40 students were randomly selected to represent the entire 600 member student
population. The results of the two surveys are shown below.
7:45 AM
START TIME
12
14
SAMPLE #1
SAMPLE #2
8:30 AM
START TIME
18
19
9:00 AM
START TIME
10
7
Read the headline and state of the headline is supported by the data.
OVER 300
STUDENTS
WANT TO
START AFTER
8:00 AM
A
Supported
Not Supported
Answers
Answer:
Over 300 students did not support start time after 8:00am
Step-by-step explanation:
Given
[tex]N = 600[/tex] --- population
[tex]n = 40[/tex] --- sample
See attachment for dataset
Required [True/False]
Over 300 wants start time after 8:00am
First, we calculate the number of samples that wants start time after 8:00am
[tex]x = 8:30am\ start + 9:00am\ start[/tex]
For sample 1
[tex]x_1 = 18[/tex]
The corresponding value of x1 in the overall population is:
[tex]X_1 = \frac{x_1}{n} * N[/tex]
[tex]X_1 = \frac{18}{40} * 600[/tex]
[tex]X_1 = \frac{18 * 600}{40}[/tex]
[tex]X_1 = \frac{10800}{40}[/tex]
[tex]X_1 = 270[/tex]
For sample 2
[tex]x_2 = 19[/tex]
The corresponding value of x2 in the overall population is:
[tex]X_2 = \frac{x_2}{n} * N[/tex]
[tex]X_2 = \frac{19}{40} * 600[/tex]
[tex]X_2 = \frac{19* 600}{40}[/tex]
[tex]X_2 = \frac{11400}{40}[/tex]
[tex]X_2 = 285[/tex]
None of X1 and X2 is greater than 300.
Hence, over 300 students did not support start time after 8:00am
None of X1 and X2 is greater than 300. so, over 300 students did not support start time after 8:00 am.
The population is 600 and the sample is 40.
What are Population Inferences?The population of inference refers to the population (or universe) to which the results from a sample survey are meant to generalize.
Over 300 students did not support start time after 8:00 am
For sample 1
[tex]\rm x_{1} =18\\[/tex]
The corresponding value of x1 in the overall population is:
[tex]\rm X_{1} =\frac{x_{1} }{n} \times N\\\rm X_{1} =\frac{18}{40} \times 600\\\rm X_{1} =\frac{10800}{40}\\ \rm X_{1} =270\\[/tex]
For sample 2
[tex]\rm x_{2} =19[/tex]
The corresponding value of x2 in the overall population is:
[tex]\rm X_{2} =\frac{x_{2} }{n} \times N\\\rm X_{2} =\frac{19}{40} \times 600\\\rm X_{2} =\frac{11400}{40}\\ \rm X_{2} =285\\[/tex]
None of X1 and X2 is greater than 300.
Hence, over 300 students did not support start time after 8:00 am.
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Based on the figure below, what is the value of x? (look at picture \/)
Answers
Answer:
X = 9
Step-by-step explanation:
90 - ( 30 + 15 ) = 45
45/5 = 9
write the product in standard form (2x + 5) ^2
Answers
Answer:
4x^2+20x+25
Step-by-step explanation:
(2x+5)^2 = (2x+5) (2x+5)
Using the foil method : 2x(2x) = 4x^2
(2x) (5) = 10x
(2x) (5) = 10x
5 (5) = 25
Combine like terms
Help.... help i don’t need a link I need someone who can help me out.
Answers
Answer:
-11/12
Step-by-step explanation:
First add the numerator
5/8 + 3/4
Get a common denominator
5/8 + 3/4*2/2
5/8 + 6/8
11/8
Then subtract the denominator
-2/3 - 5/6
-2/3 *2/2 -5/6
-4/6 - 5/6
-9/6
Then divide
11/8 ÷ -9/6
Copy dot flip
11/8 * -6/9
Simplify
11/8 * -2/3
11/3 * -2/8
11/3 * -1/4
-11/12
NEED HELP FROM SOMEONE SMART!!! A trapezoid's area can be calculated by the formula A = {(b + b2)h, where A stands for area, b, for the first base's length, b2 for the second base's length, and h for height. Find the area of the trapezoid below.
Answers
======================================================
Work Shown:
b1 = 14 and b2 = 6 are the two parallel bases
h = 9 is the height
A = area of trapezoid
A = h*(b1+b2)/2
A = 9*(14+6)/2
A = 9*20/2
A = 9*10
A = 90 square meters
What is the value of x??
Please help!!!
Answers
Step-by-step explanation:
first description must be given to the questions
find the area of this parallelogram with the measurements 5.2cm and 8.4cm
Answers
Answer:
43cm square
Step-by-step explanation:
A= bh
A=8.4cm x 5.2cm
A=43.68cmsqr
A baker has 10 pies. He will cut all the ples into pieces that are each of the whole ple.
How many pieces of pie will there be?
Answers
Answer:
I believe it to be 80 pieces if they are all cut into 8 pieces
Step-by-step explanation:
Answer:
I'm not sure how big each of the pieces of the pie are but I'm guessing 20 if each piece of pie is 1/2. Good luck on the question. Sorry I couldn't help you much.
Step-by-step explanation:
(−10x^2+9)+(8x^2 −5x+7)
Answers
Answer:
-2x^2-5x+16
Step-by-step explanation:
Remove parenthesis:
-10x^2+9+8x^2-5x+7
Combine like terms:
-10x^2+8x^2-5x+9+7
= -2x^2-5x+9+7
=-2x^2-5x+16
The mirror has a frame. The diameter of the mirror with the frame is 17 inches. To the nearest hundredth, what is the area of the mirror with the frame? Use 3.14 for π.
Answers
Answer:
the diameter: 17inches
so the radius is: 8.5 inches
the formula for calculating a circle's area:
r×r×π
so:
8.5×8.5×3.14= 226.865
The required to the nearest hundredth, the area of the mirror with the frame is approximately 254.34 square inches.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
We know that the diameter of the mirror with the frame is 17 inches, which means that the radius of the mirror is half of that or 8.5 inches.
To find the area of the mirror with the frame, we need to subtract the area of the frame from the area of the circle. The area of the circle is:
[tex]A_{circle} = \pi r^2A_{circle} = 3.14 \times (8.5)^2A_{circle} \approx 226.98\ \ \ square inches[/tex]
To find the area of the frame, we need to subtract the area of the inner circle (the mirror) from the area of the outer circle (the frame). The radius of the inner circle is 8.5 inches, and the radius of the outer circle is half of the diameter of the mirror, or 8.5 + (1/2) = 9 inches.
The area of the frame is:
[tex]A_{{frame}} = \pi (9^2) - \pi (8.5^2)A_{frame} = 3.14 \times (81 - 72.25)A_{frame} \approx27.36 \ \ \ square inches[/tex]
Now we can find the area of the mirror with the frame by adding the area of the circle and the area of the frame:
[tex]A_{mirror\ with \ frame} = A_{circle} + A_{frame}A_{mirror\ with \ frame} \approx 226.98 + 27.36A_{mirror\ with \ frame} \aprrox 254.34 \ \ \ square inches[/tex]
Therefore, to the nearest hundredth, the area of the mirror with the frame is approximately 254.34 square inches.
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