Using proportions, it is found that the correct option regarding how much faster she is in the first 5 minutes compared to the last 5 is given by:
B. 0.3 mile/minute faster
What is a proportion?A proportion is a fraction of a total amount
Researching the problem on the internet, it is found that on the first 5 minutes, she bikes 2 miles, hence the ratio is:
r1 = 2/5 = 0.4 miles/minute.
On the last 5 minutes, she bikes 0.5 miles, hence:
r2 = 0.5/5 = 0.1 miles/minute.
The difference is given by:
D = 0.4 - 0.1 = 0.3 miles/minute.
Which means that option B is correct.
More can be learned about proportions at https://brainly.com/question/24372153
The figure shows the dimensions of a room. How much carpet is needed to cover its floor? 15 ft 10 ft
Answer:
150 ft² of carpet is needed
Step-by-step explanation:
Dimensions of the floor :
15 ft (length)10 ft (width)∴ Area of carpet required = Area of floor
Area of floor
length x width15 ft x 10 ft150 ft² of carpet is neededArea:-
Length×widthLB15(10)150ft^2Is the following shape a square?, How do you know?
Answer:
C. No, because the sides aren't congruent
Step-by-step explanation:
Drag and drop the angle pairs to correctly match their
description
vertical angles
complementary
angles
supplementary
angles
adjacent angles
that are neither
complementary nor
supplementary
What are you dragging so I can help?
Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as
R = {(a, b): b = a + 1} is reflexive, symmetric or transitive.
Answer:
The answer is R is neither reflexive, nor symmetric, nor
transitive.
Step-by-step explanation:
Let A = {1, 2, 3, 4, 5, 6}.
A relation R is defined on set A as:
R = {(a, b): b = a + 1}
R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}
We can find (a, a) ∉ R, where a ∈ A.
For instance,
(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) ∉ R
R is not reflexive.
It can be observed that (1, 2) ∈ R, but (2, 1) ∉ R.
R is not symmetric.
Now, (1, 2), (2, 3) ∈ R
But, (1, 3) ∉ R
R is not transitive
Thus, R is neither reflexive, nor symmetric, nor transitive.
Share OMR 120 in the ratio 1.5 : 0.5
Answer:
90:30 is the answer
only if we use over 2
please help I can't find the mean
Answer:
add all and devide by the amount of numbers so in this case 0+5+6+7+7 devided by 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
0 + 5 + 6 + 7 + 7 = 25
25/5 = 5
What is the distance between the points (7,4) and (4,4)
[tex]\text{Given that,}\\\\(x_1,y_1) = (7,4)~ \text{and}~ (x_2,y_2)=(4,4)\\\\\text{Distance,}~ d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{(7-4)^2+(4-4)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{3^2}\\\\~~~~~~~~~~~~~~~~=3[/tex]
What are souloutions to (x+9)^2=49
help please will mark brainliest
Answer: 450
Step-by-step explanation:
Describe the outlier boundaries for the data set.
16, 18, 19, 16, 20, 18, 24, 22
Answer:
Any value less than 16 or greater than 24 is an outlier. :)
Step-by-step explanation:
In the data set, the smallest value is 16 and the largest value is 24 so that is why I think any value less than 16 or greater than 24 is an outlier. :)
Have an amazing day!!
Please rate and mark brainliest!!
there are only r red counters and g green counters in a bag. a counter is taken at random from the bag. the probability that the counter is green is 4/9. the counter is put back in the bag. 4 more red counters and 2 more green counters are put in the bag. the probability that the counter is green is 10/23. find the number of red counters and the number of green counters that were in the bag originally.
Answer:
35 : 28
Step-by-step explanation:
Check the attachment.
Help I need answer now
X=?
Answer:
0.6
Step-by-step explanation:
I used 30 60 90 triangle.
Select three ratios that are equivalent to 7:6,
Answer: 12:14 21:18 42:36
find the solution of y=x+3 and y=2x+6
Answer:
x = 3 and y = 0
Step-by-step explanation:
To find the solution where you have two equations is called a System of Equations.
What you do is you notice there are two equations and the let both equations equal each other. We can do this because both equations start with a y. These "y" work like puzzles and you can connect the "x+3" and "2x + 6" together. Then solve for it. Here's what i mean,
y = x+3
y = 2x+6
Now connecting them,
x+3 = 2x+6
Subtract x from both sides
3 = x + 6
Subtract 6 from both sides,
x = -3
Now solve for y,
y = -3 + 3 = 0
So our solution is x = 3 and y = 0.
Answer:
(x, y) = (-3, 0)
Step-by-step explanation:
Substitution or elimination work well for solving this system of equations.
__
EliminationSubtract the first equation from the second.
(y) -(y) = (2x +6) -(x +3)
0 = x +3
-3 = x . . . . . . . subtract 3
y = (-3) +3 = 0 . . . . use the first equation to find y
(x, y) = (-3, 0)
__
SubstitutionUse the second equation to substitute for y in the first.
2x +6 = x +3
x = -3 . . . . . . . . . subtract x+6 from both sides
y = (-3) +3 = 0 . . . . find y using the first equation
(x, y) = (-3, 0)
__
A graphing calculator answers these quickly.
PLEASE HELP!!! I WILL GIVE BRAINLIEST!!! AND NO LINKS PLEASE!!!!!
Answer:
To get the discount for the 5 pound bag of apples, we must first note the following:
The original price of the apples, which in this case it is 2.99
Also we must note the sale price for the apples which is 1.59
to get the discount for apples we must then create an equation based on the above information,
Discount for A= original price -sale price
Discount for A=2.99-1.59
Discount for A=1.40
Part 1 Answer is 1.40 which is the discount for apples at Handy Dandy Grocery.
Part 2
To get the discount for oranges we follow the same steps.
Discount for R= Original price for R -sale price for R
Discount for R=3.99-2.59
Discount for R=1.40
In conclusion, for both part one and part two we can derive a formula based on the apples and orange and say discount in both cases is arrived by the following:
D=Op-Sp. ( d= discount, Or= original price, Sp= sale price.)
Answer:
I'm not certain I understand what is being requested. Please see the attached explanation for two different approaches.
Step-by-step explanation:
See attachment.
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Explain the difference between a polygon that is regular and a polygon that is not regular
Regular polygons have equal sides
Irregular polygons have unequal sides
Answer:
regular polygons have sides and interior angles that are the same and irregular polygons have sides and interior angles that are different
Step-by-step explanation:
Instructions: Find the measure of the indicated angle to the nearest degree.
Answer:
first question = 57 degrees
second question = 27 degrees
Step-by-step explanation:
use trigonometry and SOH CAH TOA
then rearrange to find the value of x
using the power of -1
PLEASE HELP QUICKKKK I GIVE BRAINLYIST PLEASEE
Answer:
7
Step-by-step explanation:
As you can see, each time (let's say n) increases by 1, it divides by 1/2. So from a1 to a2, you get 28/2 or 14, then from a2 to a3, 14/2 or 7.
7 being your answer.
Answer:
7Step-by-step explanation:
Given the recursive formula.
[tex]a_1=28\\a_n=1/2a_{n-1}[/tex]Use it to determine the value of te third term.
[tex]a_3=1/2a_2=1/2(1/2a_1) = 1/4a_1=1/4(28) = 7[/tex]The population of Sheffield is 690,000 to the nearest thousand and the population of Nottingham is 730,000 to the nearest 1000.
Calculate the upper and lower bounds for the difference in population between Sheffield and Nottingham.
Please answer with clear instructions so that i can apply this to other questions
Answers:
lower bound = 39001
upper bound = 40999
========================================================
Explanation:
You'll have to think backwards to find what values round to 690,000 when rounding to the nearest thousand.
It turns out that if x is on the interval [tex]689,500 \le x \le 690,499[/tex], then x will round to 690,000 when rounding to the nearest thousand. The x refers to the population of Sheffield, so it's some integer in that range.
Through similar logic, if y is on the interval [tex]729,500\le y \le 730,499[/tex] then it will round to 730,000 when rounding to the nearest thousand. This represents the population of Nottingham.
-------------------
Now let's say we go for the smallest possible value of x (689500) and the largest possible value of y (730499). This guarantees the two populations are the most spread out or distant from one another. Subtract those two values:
730,499 - 689,500 = 40,999
This is the largest difference possible of the two populations. It represents the upper bound, i.e. it's the ceiling.
---------------------
On the other hand, let's now say x is as big as possible (690499) and y will be as small as possible (729500). Subtract those values:
729,500 - 690,499 = 39,001
This is the lower bound. It's the smallest the difference can be. It's considered the floor.
----------------------
Let d be the difference in the populations. In other words, d = y-x
We found that the lower bound was 39,001 and the upper bound was 40,999
Meaning that
[tex]39,001 \le y-x \le 40,999[/tex]
or
[tex]39,001 \le d \le 40,999[/tex]
Solve algebraically for x: -2/3(x+12)+2/3x=-5/4x+2 pls explain
Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]\dfrac{-2}{3} (x+12)+\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Start out by simplifying the distributive property on the left hand side.
[tex]\implies \dfrac{-2x}{3} + \dfrac{(-24)}{3} +\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Combine like terms on the left hand side.
[tex]\implies x\huge\text{(}\dfrac{-2}{3} + \dfrac{2}{3}\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
Simplify the left hand side.
[tex]\implies x\huge\text{(}0\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
[tex]\implies x\huge\text{(}0\huge\text{)} - 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies0- 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies-8 =\dfrac{-5x}{4} +2[/tex]
Subtract 2 both sides.
[tex]\implies-8 -2 =\dfrac{-5x}{4} +2 - 2[/tex]
[tex]\implies-10 =\dfrac{-5x}{4}[/tex]
Use cross multiplication.
[tex]\implies-10 \times 4 =-5x[/tex]
[tex]\implies-40 =-5x[/tex]
Divide -5 both sides.
[tex]\implies \dfrac{-40}{-5} =\dfrac{-5x}{-5}[/tex]
[tex]\implies 8=x[/tex]
Thus, the value of x is 8.
Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]-\dfrac23(x+12)+\dfrac23x=-\dfrac54x+2[/tex]
Multiply both sides by 3:
[tex]\implies -2(x+12)+2x=-\dfrac{15}{4}x+6[/tex]
Multiply both sides by 4:
[tex]\implies -8(x+12)+8x=-15x+24[/tex]
Expand brackets:
[tex]\implies -8x-96+8x=-15x+24[/tex]
Combine like terms:
[tex]\implies -96=-15x+24[/tex]
Add 15x to both sides:
[tex]\implies 15x-96=24[/tex]
Add 96 to both sides:
[tex]\implies 15x=120[/tex]
Divide both sides by 15:
[tex]\implies x=8[/tex]
What is the order from least to greatest 1/5 1/10 0.5
Answer:
1/10
1/5
0.5
Explanation:
1/10 = 0.1
1/5 = 0.2
Pythagorean Theorem. Show your work.
Step-by-step explanation:
First you do 2 squared plus 5 squared since it is A and B
2² + 5² = 29
Then you square root 29
which is 5.385164807 or 5.4 when you round
Find the x- and y-intercepts of the equation - 4x + 2y = 20
Answer:
y-intercept: 20
x-intercept: 5
Step-by-step explanation:
First, you want to rearrange the equation to make y on one side
2y=20-4x
Next, the y-intercept is 20.
Then to find the x-intercept, you have to make the equation equal to 0.
20-4x=0
Now, you solve for x.
20-4x=0
-4x=-20
-x=5
x=5
The x-intercept is 5.
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
The answer would be team D as their range is 24.
Step-by-step explanation:
Team A: range of 27
Team B: Range of 32
Team C: Range of 27
Team D: Range of 24
Team D has the lowest range found by subtracting the larger number 46 by the smaller number 22.
Which quadratic equation is equivalent itto * (x - 4) ^ 2 - (x - 4) - 6 = 0 ?
Answer:
[tex]x2 - 9x + 14 = 0[/tex]
Step-by-step explanation:
x2 - 9x + 14 = 0
What is the slope of the given line? (Use only whole numbers or fractions to answer)
What is the y-intercept of the given line? (Put your answer as the y-intercept point with no spaces)
Answer:
answer is -1/2
have a nice day
Please help me ASP! Could anyone tell me what 3 x what gets me to 90?
Answer:
3*30 = 90
Step-by-step explanation:
3*30 = 90
How much food can this container hold? Express your answer in terms of it. 277 in. 3 in. 9 in. 187 in 3 811 in. Ort in. 3 00
AGHHH HELP
Answer:
27 pi in^3
Step-by-step explanation:
volume of the cone
= 1/3 x pi x r^2 x h
= 1/3 x pi x(3)^2 x (9)
= 27 pi in^3
$52 lunch; 2.5% tax what is the answer
Answer:
$53.30
Step-by-step explanation:
2.5% of 52 is 1.3
1.3 + 52 = 53.30
hope this helped :)
Answer:
$53.30
Step-by-step explanation:
Cost of lunch : $52
Tax : 2.5%
Divide the tax (2.5%) by 100
2.5 ÷ 100 = 0.025
Multiply 0.025 by the cost of the lunch ($52) to get the sales tax.
52 × 0.025 = 1.3
Now, add 1.5 (sales tax) with 52 (cost of lunch).
52 + 1.3 = 53.30
So, the total cost of the lunch + tax is $53.30.
Hope this helped !