Felipe jogs for 3 miles and then walks another 3 miles. He jogs 1 and 1/2 miles per hour faster than he walks, and the entire distance of 6 miles takes 3 hours. Find the rate at which he walks and the rate at which he jogs.
Answer:
walking: 1.5 mphjogging: 3 mphStep-by-step explanation:
Let w represent Felipe's walking speed in miles per hour. Then his total travel time is ...
time = distance/speed
3 = 3/w +3/(w+1.5) . . . . . total time is the sum of walking and jogging times
1 = 1/w +1/(w +1.5) . . . . . divide by 3
w(w +1.5) = (w+1.5) +w . . . . multiply by w(w+1.5)
w^2 -0.5w -1.5 = 0 . . . . . . subtract 2w+1.5
(w -1.5)(w +1) = 0 . . . . . . . factor
The values of w that make this equation true are w = 1.5 and w = -1. Only the value 1.5 makes any sense in this scenario. Felipe's jogging speed is then 1.5+1.5 = 3 mph.
Felipe walks at 1.5 mph and jogs at 3 mph.
What is the slope of the line that passes through the points (10, 2) and (19, 14)?
Write your answer in simplest form.
Answer:
The slope of this line is 4/3.
Step-by-step explanation:
(x1, y1) = (10, 2)
(x2, y2) = (19, 14)
First, find the slope using the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
All this is doing is finding the distance between the y-coordinates and dividing it by the distance between the x-coordinates. I marked these two as points 1 and 2 above, so you can plug in all 4 values and solve:
[tex]m=\frac{14-2}{19-10}\\\\m=\frac{12}{9}\\\\m=\frac{4}{3}[/tex]
The slope of this line is 4/3.
the total cost of a watch and a radio is rs 500 .If the watch is cheaper than the radio by rs 150,find their cost
Ragnar's bathroom has 148 tiles in it. He found that his kitchen has 7 times as many tiles as his bathroom.
How many tiles are in Ragnar's kitchen?
Answer:
148*7=1036
Hope This Helps!!!
Step-by-step explanation:
The answer,
148×7 = 1,036
Interest earned: $76
Principal: $800
Interest rate:?
Time: 2 years
Answer:
19%
interest earned = base × time × rate
interest rate = interest earned/ base × time
76/800*2 = 0.19 = 19%
Jacob has 4 reams of paper. Each ream of paper has 250 sheets of paper.
He will take the paper and make booklets. Each booklet will use 8 sheets of
paper What is the greatest number of booklets Jacob can make with this
amount of paper?
A 262
B. 125
C 1,008
D. 575
1 ream = 250 papers
=> 4 reams = 250 x 4=> 4 reams = 1000 papers.1 booklet = 8 papers
=> 1000 ÷ 8 = x booklets=> 125 bookletsConclusion:Therefore, with 4 reams of paper, Jacob will be able to create 125 booklets.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He has 200 feet of fencing. The inequality that models the possible perimeter of the yard is 2l 2w ≤ 200. Which are possible dimensions for Mike’s backyard? Check all that apply. W = 50 ft; l = 10 ft w = 10 ft; l = 50 ft w = 20 ft; l = 60 ft w = 90 ft; l = 30 ft w = 50 ft; l = 40 ft.
The inequality that models the possible perimeter of the yard is 2(l + w) ≥ 200
The possible dimension of the width is 90 feet
The formula for calculating the perimeter of the fence is expressed as:
P = 2(l + w)l is the length of the fencew is the width of the fenceIf he has 200 feet of fencing, then:
2(l + w) ≥ 200
If the length of the fenced-in area to be at least 20 feet long, the equation becomes:
2(20 +w) ≥ 200
40 + 2w ≥ 200
2w ≥ 200 - 40
2w≥ 160
w≥ 80
Hence the possible dimension of the width is 90 feet
Learn more on inequalities here: https://brainly.com/question/10709615
Insert two rational number between 1.3 bar and 1.4 bar
General method:
Given numbers are 1.3 bar and 1.4 bar
1.3 bar = 1.333...1.4 bar = 1.444...Two rational numbers between them
= 1.3222... and 1.43333...
Mean Method:
Let X = 1.333... → → →eqn(i)
since the periodicity is 1 then multiply eqn(i) with 10
⇛10×X = 1.333...×10
⇛10X = 13.333... → → →eqn(ii)
Subtract eqn(ii)-eqn(i)
10X = 13.333...
X = 1.333...
(-)
____________
9X = 12.000...
____________
⇛9X = 12
⇛X = 12/9
⇛X = 4/3
and
Let X = 1.444... → → →eqn(i)
since the periodicity is 1 then multiply eqn(i) with 10
⇛10×X = 1.444...×10
⇛10X = 14.444...→ → →eqn(ii)
Subtract eqn(ii)-eqn(i)
10X = 14.444...
X = 1.444...
(-)
____________
9X = 13.000...
____________
⇛9X = 13
⇛X = 13/9
Now we have 12/9 and 13/9
The rational number between them by mean method (a+b)/2
⇛{(12/9)+(13/9)}/2
⇛(25/9)/2
⇛25/18
and Second rational number
⇛{(12/9)+(25/18)}/2
⇛{(24+25)/18}/2
⇛(49/18)/2
⇛49/36
Answer: The two rational numbers between them are 25/18 and 49/36.
also read similar questions: INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
x= -3
y= 1
Step-by-step explanation:
You can graph this on Desmos Graphing Calculator and look at the vertex on the graph.
Help help help on marhswatch please help!!
7x-35<2x-10 distribut it
7x-2x<-10+35 collect like them
5x<25 divide both side by 5
x<5
If you earned $1000 interest on a loan of $5200 at a yearly interest rate of 2.5%, how many years was the loan for? (Round to the nearest tenth)
Answer:
170 years
Step-by-step explanation:
R/100=2.5%
time= 100=0.025 per year (1/0.025) (5200\1000)-1=168
time=168 years
Answer: 7.7 years
Step-by-step explanation:
Total amount = Principle + Interest = 5200 + 1000 = 6200
A = P(1 + rt)
6200= 5200[1+(0.025)(t)]
6200=5200+130t
-130t=5200-6200
-130t=-1000
t=100/13
t= 7.7 years
Which one of Aiko's steps makes a false assumption? Why is it false?
Aiko's Proof:
1. Draw 2 rectangles. Label one ABCD and the other PQRS
2. Translate rectangle ABCD by the directed line segment from A to P.A' and P now coincide. The points coincide because that's how we defined
our translation
3. Rotate rectangle A'B'C'D' by angle D'A'S. Segment A"D" now lies on ray PS. The rays coincide because that's how we defined our rotation.
4. Dilate rectangle A"B"C"D" using center A" and scale factor AD. Segments A"D" and PS now coincide. The segments coincide because A" was
the center of the rotation, so A" and P don't move, and since D" and S are on the same ray from A", when we dilate D" by the right scale factor, it
will stay on ray PS but be the same distance from A" as S is, so S and D' will coincide.
5. Because all angles of a rectangle are right angles, segment A'B' now lies on ray PQ. This is because the rays are on the same side of PS and
make the same angle with it (If A'B' and PQ don't coincide, reflect across PS so that the rays are on the same side of PS.)
6. Dilate rectangle A"B"C"D" using center A" and scale factor AB Segments A'"'**" and PQ not coincide by the same reasoning as in step 4.
7. Due to the symmetry of a rectangle, if 2 rectangles coincide on 2 sides, they must coincide on all sides.
Answer:
6th step is wrong
Step-by-step explanation:
We have the dilation transformations we only needed one, and that is the 6th step. It would make more sense to do the dilation transformation early in the steps and we already did these steps at the beginning.
6. Which statement about this figure is true?
1. Look at the figure. Find y.
A)15
B)-3
C)2
D)3
Answer:
y = 3
Step-by-step explanation:
The triangles are congruent by AAS.
Sides 5y and 3y + 16 are congruent by CPCTC.
5y = 3y + 6
2y = 6
y = 3
Help me please 13x55x10
1. What is the exact distance from (-4,-2) to (4, 6)?
O 24 units
O 188 units
O V100 units
O V128 units
How long does it take for sunlight to reach earth? Show Work!
Answer: 8.3 minutes
Step-by-step explanation:
The time t may be obtained using the speed distance equation s=d/t. Rearranged to solve for time it would be: t=s/v, where s is the distance between the Sun and Earth and v is the speed of light.
x²+1=2x
hope someone can help thanks!
Answer:
I think it’s x=1
Answer:
Step-by-step explanation:
x^2 + 1 = 2x
x^2 - 2x + 1 = 0
Factor (x - 1) ( x - 1)
x = 1
What is the value of the digit in the millions place?
56,931,446
A. 9,000,000
B. 50,000,000
C. 6,000,000
D. 400,000
Answer:
C 6,000,000
Step-by-step explanation:
Sally has a rectangular garden that is surrounded by a 6ft-wide and 8ft-long fence. However, she wants to expand her garden so that it is twice as wide and twice as long. What is the new perimeter of her garden?
Based on the information given, it can be deduced that the perimeter of the garden will be 56 feet.
Since the rectangular garden is surrounded by a 6ft-wide and 8ft-long and Sally wants to double the dimensions, the new dimensions will be 12ft and 16ft.
Perimeter of a rectangle = 2(l + w)
Perimeter = 2(12 + 16)
Perimeter = 2(28)
Perimeter = 56 feet.
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https://brainly.com/question/24382052
What is the probability of picking an 8 and then picking a number greater than 6?
I actually need help please help quickly
Answer:
NEED MORE
Step-by-step explanation:
Autumn made 72 more cupcakes thsn Averle.If Autumn made 88 cupcakes how many did Averle make
Based on the number of cupcakes that Autumn made and the relationship to Averle, the number of cupcakes made by Averle was 16 cupcakes.
Autumn made 72 more cupcakes that the cupcakes made by Averle.
Autumn made 88 cupcakes which means that the number of cakes made by Averle must have been 72 less than this:
= 88 - 72
= 16 cupcakes
In conclusion, Averle made 16 cupcakes.
Find out more on this kind of operation at https://brainly.com/question/17829864.
Two times 3X times Y times 4Z times X times Y times Z
Answer:
24*(X^2)*(Z^2)*(Y)
Step-by-step explanation:
2*(3X)*(4Z)*(X)*(Y)*(Z)
2*(3X^2)*(4Z)*(Y)*(Z) [Combine like terms (X)]
2*(3X^2)*(4Z^2)*(Y) [Combine like terms (Z)]
24*(X^2)*(Z^2)*(Y) [Combine like terms (2*3*4)]
A line passes through the points (8, -1) and (-4, 2).
10
8
6
4
-10 -3 -6 6 -2
2
4
6
8
10
X
4
-6
do
8
-10
What is the y-intercept of this line?
Answer:
The y-intercept of this line is 1 (or (0, 1) )
Step-by-step explanation:
Going from (8, -1) to (-4, 2), the x-coordinate decreases by 12 and the y-coordinate increases by 3. Thus, the slope of this line is m = rise/run = 3/(-12), or m = -1/4.
Let's use this information (x = 8, y = -1, m = -1/4) and the slope-intercept formula y = mx + b to find the y-intercept (b):
-1 = (-1/4)(8) + b, which simplifies to -4 = -8 + 4b. Solving for b, we get
4 = 4b, so that b must be 1.
The y-intercept of this line is 1 (or (0, 1) )
Helppppppppppp meeeeeeee
Answer:
itll be number 2
Step-by-step explanation:
Answer:
8 I thing is correct so check well you will get the correct answer
Help meeeeeeeeeeeeeeee
Answer:
D.
Step-by-step explanation:
Complementary angles are two angles whose measures add to 90°.
A.
m<CFD = 150° - 100° = 50°
m<EFD = 180° - 150° = 30°
Sum = 80°
No
B.
m<AFB = 40°
m<DFE = m<EFD = 30°
Sum = 70°
No
C.
m<AFC = 100°
Sum > 100°
No
D.
m<BFC = 100° - 40° = 60°
m<DFE = 30°
Sum = 90°
Yes
Answer: D.
work out the value of (3^(12) +3^(5) ) + (3^(2) x 3)
Answer:
the value of (3^(12) +3^(5) ) + (3^(2) x 3)=531711
Help plzz I don’t get it
x intercept The x intercept is the point where the line crosses the x axis. At this point y = 0.
Từ điểm A ở ngoài (O) kẻ các tiếp tuyến AB, AC với đường tròn (B và C là các tiếp điểm), BC cắt OA tại D, trên cung nhỏ BC lấy E, ED cắt (O) tại F chứng minh góc BAE = góc CAF