Answer:
The woman walks at 2.5 mph.
Bonus: she rides her bicycle at 12.5 mph.
Step-by-step explanation:
We're told that she can bicycle 25 miles in the time takes her to walk 5. That means that on a bicycle, she moves 25 ÷ 5, or 5 times faster on a bicycle than when she runs.
We're also told that she can ride at 10 mph faster than she can walk.
That gives us two relationships to describe. If we call her speed on the bicycle "b", and her speed on foot "w", then we know:
b = 5w
and
b = w + 10
Since both of those describe b, we can simply equate them. Stating the obvious:
b = b
therefore:
5w = w + 10
We can then simplify:
5w = w + 10
4w = 10
w = 2.5
So she walks at 2.5 miles per hour.
We can test that answer too. Let's compare to the first statement, her bicycling 25 miles in the time it takes to walk five miles.
Walking 2.5 miles per hour means she'd take two hours to walk five miles.
We also know that she can ride 10mph faster, so she rides at 12.5 mph. two times that is 25, so she would indeed cover 25 miles on her bicycle in the same time that she walks five.
How can I find the area for this shape please help!
Answer:
12cm²
Step-by-step explanation:
a=l·w
the easiest way to find the area is to break up the shapes.
the smaller shape is 1cm by 2cm
1·2= 2 cm
the larger shape is 5cm by 2cm
5·2= 10 cm
add them
2+10= 12cm
Answer:
12cm^2
Step-by-step explanation:
These are two rectangles if we divide.
So,
Area of rectangle = length × breadth
So we will name the bigger rectangle as R1 and the smaller rectangle as R2.
So,
Area of R1 = l × b
Area of R1 = 5×4
Area of R1 = 5 × (4-2)
Area of R1 = 5 × 2
Area of R1 = 10 cm^2
Area of R2 = l × b
Area of R2 = (4-2) ×1
Area of R2 = 2 × 1
Area of R2 = 2cm^2
So,
Area of complete figure = Area of R1 + Area of R2
Area of complete figure = 10 + 2
Therefore, Area of complete figure = 12cm^2
Hope it helps!!!!
HELP ASAP!!
Meagan is going to organize her stamp collection into a 240-page book. She has organized 150 pages. What percent of her pages has she organized
Answers
60%
50%
62.5%
75%
Answer:
62.5%
Step-by-step explanation:
150/240=0.625
you do 0.625x100 to get the percent.
What is the square root of 81
Answer:
9
Step-by-step explanation:
81 to find the square root of 81 you got to find 2 numbers that multiply to get to 81
The ratio of boys to girls is 2 to 3. There are 10 boys. How many girls are in the club?
Answer:
15 girls.
Step-by-step explanation:
Hope this helps!
Answer:
15 girls
Step-by-step explanation:
2:3 ratio
If you know the amount of boys, then 2x=10, x=5
Now you know that the scale factor is 5
So, multiply 5*3 to get the amount of girls
how do you decompose a parallelogram into two triangles
Answer:
Step-by-step explanation:
A parallelogram can always be decomposed into two identical triangles by a segment that connects opposite vertices. Going the other way around, two identical copies of a triangle can always be arranged to form a parallelogram, regardless of the type of triangle being used.
The diagram shows a right-angled triangle.
15 cm
hcm
31
What is the value of h?
Give your answer correct to 1 decimal place.
The diagram is missing, so i have attached it.
Answer:
h = 7.7 cm
Step-by-step explanation:
From the attached image, we can see that the hypotenuse is 15 cm with the opposite side being h cm.
The angle is 31°
Thus, using trigonometric ratio, we have;
h/15 = sin 31
h = 15 sin 31
h = 15 × 0.5150
h = 7.725
Approximating to 1 decimal place gives;
h = 7.7 cm
2/9 of the students in a school are in sixth grade.
a. How many sixth graders are there if the school has
90 students?
b. How many sixth graders are there if the school has
27 students?
c. if the school has x students write an expression for the number of students of sixth graders in terms of x
d. how many students are in the school of 42 of them are in 6th grade
Answer:
a) 20 sixth graders.
b) 6 sixth graders.
c) 2/9x sixth graders.
d) 189 students in the school.
Step-by-step explanation:
a) 2/9 of 90 = 2/9 * 90 = 20 students.
b) 2/9 of 27 = 2/9 * 27 = 6 students.
c) 2/9 of x = 2/9x
d) 42 = 2/9x so solve the equation: x = 189 students.
If we have 90 students in the school then we will have 20 sixth grade students.
a. From the details of the question, we have 2/9 of the students in the school in sixth grade. Hence;
Number of students in sixth grade = 2/9 × 90 = 20 sixth grade students
b. If the school has 27 students, number of sixth graders = 2/9 × 27 = 6 sixth grade students
c. If we have x students in the school, the number of sixth graders = 2/9 × x = 2/9x students
d. If we have 42 students in sixth grade, the number of students in the school is;
2/9 × x = 42
x = 9/2 × 42 = 189 students
Learn more about fractions: https://brainly.com/question/1301963
you made a 12 minute call using a calling card. The call costs $0.66. there is a $1.21 left on your card. if the rate stays the same, how many more minutes can you talk for using the card
Please help i need answers am bad at math
Answer:
1) 2 5/9
2) 4 5/6
3) 4 3/8
4) 5 3/5
5) 7 1/3
6) 6 1/9
7) 7 1/8
8) 2 2/9
9) 5 3/4
Step-by-step explanation:
Hope this helps
Solve for w.
2w - 5 = -3
samana
Answer:
2w = -3 + 5
W = 2
Step-by-step explanation:
Find the angle between the diagonal of a cube of side length 15 and the diagonal of one of its faces, so that the two diagonals have a common vertex. The angle should be measured in radians. (Hint: we may assume that the cube is in the first octant, the origin is one of its vertices, and both diagonals start at the origin.)
Answer:
the angle between the diagonal is 0.6155 RADIANS
Step-by-step explanation:
Given the data in the question
as illustrated in the image below;
O is [0,0,0]
B is [15,0,15]
E is [15,15,15]
Now to find angle BOE
vector OB = [15,0,15]
vector OE = [15,15,15]
OB.OE = [15,0,15].[15,15,15] = 15 × 15 + 15 × 15 = 450 = |OB||OE|cos[angleBOE]
|OB| = √(15² + 15²) = √(225 + 225) = √450
|OE| = √(15² + 15² + 15²) = √(225 + 225 + 225) = √675
so
Angle BOE = cos⁻¹ ( 450 / ( √450 × √675 )
Angle BOE = cos⁻¹ ( 0.81649 )
Angle BOE = 35.265°
Angle BOE = 0.6155 RADIANS
Therefore, the angle between the diagonal is 0.6155 RADIANS
please help PLEASE HELP!!!!!!!!!!!!!!! I AM SUPER DESPARATE I NEED MUCH MUCH MUCH HELP
Answer:
8.v = r 2 πh 3
Step-by-step explanation:
Misha practices the guitar for 3 hours every day.
A 2-column table with 6 rows. Column 1 is labeled Days with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled hours with entries 3, 6, 9, 12, 15, 18.
Which equation models the situation?
3 = hd
h = 3d
d = 3h
h = d
Answer:
It is B. H = 3d
Step-by-step explanation:
I got it right :)
Answer:
the answer is B
Step-by-step explanation:
h = 3d
your welcome
A florist sells a dozen roses for $22.60. She sells individual roses for the same unit cost. Write an equation to represent the relationship between the number of roses, x and the total cost of the roses, Y. How much would 18 roses cost ?
please answer asap
Answer:
The cost of the roses are $53.10
Celebration! Hope this helps ^_^
I need help on these problems!! Please help
Answer:
1. 6cm
2. 14cm
3. 12cm
4. 8cm
5. 9cm
6. 5cm
Step-by-step explanation:
Hope this helps
What is the domain of the function
Answer:
it will be the first one
Step-by-step explanation:
how do i graph y=1/2x+3
need help geometry be serious
The width of the rectangle is 20% of its length. What is the area of the rectangle?
it's 60 ft btw
Answer:it is 60
Step-by-step explanation:
Find the value of X round to the nearest 10th
Answer: 22.1°
Step-by-step explanation:
Applying law of sines, we have:
8² = 19² + 14² - 2*14*19 * Cos(x)
64 = 557 - 532*cos(x)
64 - 557 = -532*cos(x)
-493 = -532*cos(x)
Divide both sides by -532
-493/-532 = cos x
0.926691729 = cos x
x = cos^-1(0.926691729)
x = 22.1° (nearest tenth)
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,000 and $50,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. Given the information in the Microsoft Excel Online file below, construct a spreadsheet to determine how large a sample should be taken for each desired margin of error.
Answer:
A. 384.16
B. 2,401
C. 9,604
D. No
Step-by-step explanation:
Calculation to determine how large a sample should be taken for each desired margin of error
First step is to find σ which represent Population Standard deviation
σ=($50,000-$30,000)/4
σ=$20,000/4
σ = 5,000
Now let calculate how large a sample should be taken for each desired margin of error
Using this formula
n = (Za/2*σ/E)^2
Where,
Za/2=1-0.95/2
Za/2=0.05/2
Za/2=0.025
Z-score 0.025=1.96
Za/2=1.96
σ =5,000
E represent Desired margin of error
Let plug in the formula
a. $500
n = (1.96* 5,000/$500)^2
n=(9,800/$500)^2
n=(19.6)^2
n = 384.16
b. $200
n = (1.96*5,000/200)^2
n=(9,800/$200)^2
n=(49)^2
n = 2,401
c. $100
n = (1.96*5,000/$100)^2
n=(9,800/$100)^2
n=(98)^2
n = 9,604
Therefore how large a sample should be taken for each desired margin of error will be :
A. $500= 384.16
B. $200= 2,401
C. $100= 9,604
d.NO, Based on the information calculation i would NOT recommend trying to obtain the $100 margin of error reason been that it is highly costly compare to $500 margin of error and $200 margin of error.
choose the inequality that represents the following graph
Answer:
its a
Step-by-step explanation:
did it on khan 2021
How can you rewrite a^7 using exponent rules?
PLEASEEE HELP
I NEED ANSWRR NOW
Answer:
B and C is your answer BH x 1/2 is formula of triangle and formula of rectangle/parallelogram is BH
A digital music
2. service sells 12 songs
for $9.96. At this rate,
how many songs
can you purchase
for $4.15?
Answer:
You can buy 5 songs.
Step-by-step explanation:
First, you would divide 9 by 12 which is 0.83, assuming that each song costs 0.83 by itself you would just add 0.83 + 0.83 until you reach 4.15, the amount of times you added is the answer, which is 5 lolz
2x + 8y=30 y=2 solve for x
Answer:
23
Step-by-step explanation:
2x+ 8(2)= 30
2x+ 16=30
2x=14
x=7
f(x) = x^2. What is g(x)?
Answer:
D. g(x) = (1/4 x)^2
Step-by-step explanation:
We have to choose a solution in which the point (4, 1) works.
A) g(x) = 1/4(x^2) = 1/4(4^2) = 1/4(16) = 4 ≠ 1
B) g(x) = (1/2 x)^2 = (1/2 * 4)^2 = 2^2 = 4 ≠ 1
C) g(x) = 4(x^2) = 4(4^2) = 4(16) = 64 ≠ 1
D) g(x) = (1/4 x)^2 = (1/4 * 4)^2 = 1^2 = 1
x + 15 = 28
O A. x= 13
O B. x = 33
O C. x = 43
O D. x = 23
Answer:
A
Step-by-step explanation:
the answer is
x+15=28
x=28-15
x= 13
Answer:
A
Step-by-step explanation:
x+15=28
move 15 to the other side
and change the + to -
x=28-15
x=13
what is 48,000 rounded to the nearest ten thousand
50,000 because 8 is larger than 5 so you round up to 5 in the ten thousands place.
convert 131 57’ 32” to decimal degree
Answer:
131.95888888888888
Step-by-step explanation:
Your Welcome :)