The graph below shows the relationship between the number of hours and the
number of miles jogged.
Y
16
15
14
13
12
11
10
9
Miles
8
3
2
2
3
5
6
Hours
Based on the information in the graph, what is the unit rate in miles per hour?
Answers
Answer:
2.5
Step-by-step explanation:
Related Questions
You purchased concentrated cleaner that must be diluted before use. Container a is the cleaner, which is 20% solution. Container b is pure water. You are mixing together the contents of container a and container b to produce 40 gallons of 9% solution. How many gallons from each container are needed to create the 40 gallons of 9% cleaning solution?
Answers
Answer:
18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.
Step-by-step explanation:
Given that the container [tex]a[/tex] has 20% concentrated cleaner
and container [tex]b[/tex] has pure water which has 0% cleaner.
Let x gallons from container a and y gallons from the container b are mixed to get a 9% concentrated solution.
So,
[tex]9\%\; \text{of}\; (x+y) = (20\% \; \text{of}\; x )+(0\% \; \text{of}\; y)\cdots(i)[/tex]
As the total amount of the final solution= 40 gallons
So, [tex]x+y=40\cdots(ii)[/tex]
Using the value of equation (ii) in equation (i), we have
9% of 40 = 20% of x
[tex]\Rightarrow 0.09\times 40=0.2 \times x[/tex]
[tex]\Rightarrow x=\frac{0.09\times 40}{0.2}[/tex]
[tex]\Rightarrow x=18[/tex] gallons.
From equation (ii),
18+y=40
[tex]\Rightarrow y=40-18=22[/tex] gallons.
Hence, 18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.
Ruby's family took a road trip to Mount Rushmore. Ruby slept for the last 476 miles of the trip. If the total length of the trip was 700 miles, what percentage of the total trip had they traveled when Ruby fell asleep?
Answers
700 - 476 =
700
+476
______
1176
32%
Explanation
700 - 476 = 224
I googled 224 is what percent of 700
You only have to answer 7,8 but if you want you can do 9 and 10
Answers
Answer:
#7) x = 3
#8) x = 9
Step-by-step explanation:
# 7
Well AOB + BOC = AOC so...
4x - 1 + 2x + 15 = 8x + 8 (collect like terms)
6x + 14 = 8x + 8 (subtract 8 on each side)
6x + 6 = 8x (subtract 6x on both sides)
6 = 2x (divide by 2 on both sides)
3 = x
#8
COD + BOC = BOD so..
8x + 13 + 3x - 10 = 12x - 6 (collect like terms)
11x + 3 = 12x - 6 (add 6 on both sides)
11x + 9 = 12x (subtract 11x on both sides)
9 = x
Hope this helps!!
2. The perimeter of a rectangular park is 640 yards. The length of the rectangle is 40 yards less than twice the width. What are the dimensions of the park?
Answers
The dimensions of the park are obtained as 180 yards and 140yards respectively.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
Suppose the width of the rectangle be x yards.
Then, its length is given as x - 40 yards.
Since, the perimeter of a rectangle is given as 2(l + b).
Substitute the corresponding values to get the equation as follows,
640 = 2(x - 40 + x)
=> 640 = 2(2x - 40)
=> 2x - 40 = 640/2
=> 2x - 40 = 320
=> x = 360/2 = 180
Then, the length is given as 180 - 40 = 140 yards.
Hence, the dimensions of the park are obtained as 180 yards and 140 yards respectively.
To know more about Linear equation click on,
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LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown. • First card: -12 • Second card: 3 • Third card: -5 What is the sum of the values of LuAnn's three cards?
Answers
The sum of all the cards of Luann is -14.
One of the four fundamental operations for arithmetic on integers, decimals, fractions, real and complex numbers, as well as in algebraic expressions or on structures related to them, including vector spaces, is sum (also known as addition).
The terms, addends, or summands collectively refer to the numbers or objects that need to be added in general addition; this nomenclature also applies to the summation of several terms. This should be distinguished from multiplied factors.Addition or sum follows the commutative , associative and distributive properties.The given numbers on the cards are given as - 12 , 3 and - 5 .
Therefore the addition or sum is equal to :
-12 + 3 + ( - 5 ) = - 17 + 3 = - 14
Hence the sum of all the cards in LuAnn's card games is -14.
To learn more about sum visit:
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Work out the length x pls
Answers
Answer:
~17.67
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
7.5^2+16^2=c^2
~17.67
Answer:
Step-by-step explanation:
We use pythagorus theorem which is; a²+b²=c²
(16cm)²+(75/10cm)²=x²
256cm²+225/4cm²=x²
1249/4cm²=x²
√1249/4cm²=√x²
312.25cm=x
At the school festival ,heather can buy 25 game tickets for 10 dollars, or she can pay 0.50 cent per game ticket.whick option has the lesser price per ticket.
Answers
Answer:
The 10 dollars for 25 tickets
Step-by-step explanation:
use a single digit times a power of 10 to estimate the number 0.00007264
Answers
Answer:
0.0007264
Step-by-step explanation:
I think it is right but if not I am so sorry! Hope this helps!
What is the value of 30 minus 2 (7 + 2) minus 1?
11
14
17
19
plus brainlyest and im being times so please hurry
Answers
Answer:
11
Step-by-step explanation:
30-2(7+2)-1
30-2(9)-1
30-18-1
30-19
11
Please help. It’s due today
Answers
Answer:
There's nothing there I believe you forgot to add a link just add or create another question and i'll see what I can do :)
Step-by-step explanation:
WILL REWARD What is the equation of the line in point-slope form?
Use the red point in your equation. Write your answer using integers, proper fractions, and
improper fractions in simplest form.
Y-___=___(x-____)
Answers
Step-by-step explanation:
the red point is (4, -5).
so, y - (-5) = -1/7(x - 4)
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Clea estimates that a glass contains 250.55 mL of water. the actual amount of water in the glass is 279.48 mL. To the nearest tenth of a percent what is the percent error in Clea's estimate?
Answers
These two lines are graphs of non-proportional relationships what makes them not proportional
Answers
Answer: b or c
Step-by-step explanation:
78 is 0.6% of what number? Use pencil and paper. Would you expect the
answer to be a lot less than 78, slightly less than 78, slightly greater than 78, or
a lot greater than 78? Explain.
78 is 0.6% of
(Type an integer or a decimal.)
Answers
Answer:
Answer is
13000
Step-by-step explanation:
78÷0.6%=13000
What is the result when the number 40 is decreased by 10%?
Answers
Answer:
it would be 36
Step-by-step explanation:
It cost Chloe $7.05 to send 47 text messages. How many text messages did she send if
she spent $26.70?
Answers
Answer:
178 text messages
Step-by-step explanation:
You have do 7.05 times 3 and you get 21.15. Then you do 26.70 minus 21.15 and you get 5.55. Then you do 7.05 divided by 47 then you get 0.15. SO each messages is 0.15 cents so you do 0.15 times 37 and you get 5.55 and then you add 21.15 and 5.55 and you get 26.70. Then you take 141 and add it to 37 and you get 178 as your answer
Rewrite in simplest terms: 9(-6r – 3) + 2(r +9)
Answers
Answer:
I think its 'r= 15/7=0.467'
Step-by-step explanation:
If I am adding one positive number and one negative number, will the answer be positive or negative? What does it depend on?
Answers
It depends on which number has the greatest absolute value.
Think about it as money
If you owe me $10, this is shown as -10
Now if I give you back 2 dollars (+2), How much money do I still owe you.
The equation is -10+2
I still owe you 8 dollars which is portrayed as -8
Hope this helps :)
please help need this urgently
Answers
Answer:
a
Step-by-step explanation:
Answer:
The answer is A. y=1/3x+4
Explanation:
Perpendicular means that the slope is flipped and the only answer that has -3 flipped is A.
i need help with this
Answers
Answer:
Hey there..Sorry but, I don't know the answer to this..! Wish I could help.
Explanation: Start by making the denominators equal to each other, and to do so multiply 2 at the numerator and denominator of the fraction 3/4. That gives you 11/8 and then you combine like terms for 11/8 and 5. That gives you 6 3/8. Subtract.
1.
Susan has five blocks of candy. She wantsstwo ciwe chook into -size pieces of
candy. How many pieces of candy willstrebe anettonale?
Answers
What is an equation in slope-intercept form for the line that passes through the points (1,-3) and (3,1)
Answers
Step-by-step explanation:
Hey there!
Note: Use double point formula for finding the eqaution which passes through two points.
Given;
The points are; (1,-3) and (3,1).
Use double point formula.
[tex](y - y1) = \frac{y2 - y1}{x2 - x2} (y - y1)[/tex]
Put all values.
[tex](y + 3) = \frac{1 + 3}{3 - 1} (x - 1)[/tex]
Simplify it.
[tex](y + 3) = \frac{4}{2} (x - 1)[/tex]
[tex]y + 3 = 2(x - 1)[/tex]
[tex]y + 3 = 2x - 2[/tex]
[tex]y = 2x - 2 - 3[/tex]
[tex]y = 2x - 5[/tex]
Therefore, the eqaution is y = 2x-5.
Alternative:
Steps:
Find slope using slope formula and use one point formula.Simplify in the form of y = mx+c form.Formula:
Slope = (y2-y1)/(x2-x1)One point formula= (y-y1)= m(x-x1)The points are; (1,-3) and (3,1).
Now;
Slope= (1- (-3))/(3-1)
= (1+3)/2
= 2
Again;
Using one-point formula.
(y+3) = 2(x-1)
y+3= 2x-2
y = 2x -5
Therefore, the equation is y = 2x-5.
(You can follow up any method you want)
Hope it helps....
who can solve |x-4| = 21
Answers
Answer:
|x| = 25
Step-by-step explanation:
Original Equation:
|x - 4| = 21
Just add 4 to both sides
|x| = 25
Hope this helped :)
Answer:
the answer is 25 or -17
WILL REWARD Christina has already spent 2 minutes on the phone, and she expects to spend 2 more
minutes with every phone call she routes. Write an equation that shows the relationship
between the phone calls routed p and the minutes on the phone t.
Write your answer as an equation with t first, followed by an equals sign.
Answers
Answer:
t=2x+ 2
Step-by-step explanation:
x is every phone call 2 is how many minutes she spends on each call The other 2 is the 2 minutes she already spended
Answer:
Step-by-step explanation:
t=2+2p
PLS HELP FIND ANGLE MEASUREMENTS
Answers
Answer:
From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36
So,
x = 72
y = 36
PLEASE ANSWER QUICKLY
Answers
Answer:
Answers are at the bottom!
Step-by-step explanation:
First answer:The coordinates of the turning point are (-2,-1)
Second answer is (-0.5,5) and (0.5,5)
If i'm wrong please correct me.
Hope this helps!!
BRAINLIEST FOR THE ANSWER!!! PLEASE ANSWER QUICK
Answers
Solve : 2/3+(x)=3
A)-4/3
B)-7/3
C)4/3
D)7/3
Answers
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
2/3+x=3
Step 1: Subtract 2/3 from both sides.
x+ 2 /3 − (2/3 )=3−(2/3)
You'll end up with 7/3 :D
have a great day! :D))
Write a linear equation in point-slope form of the line that has a slope of
and passes
through the point (3,-2).
Answers
Answer: (y+2)+=15(x+3) or (y+1)+15(x-2)
Step-by-step explanation:
hi everyone i need help
Answers
Answer:
1/9
Step-by-step explanation:
-2/3(-1/6)
1/9