Answer:
Emily won the race; she finished 1.9 seconds ahead of John.
Note: The question is incomplete. The complete question is given below:
Emily and John each ran at a constant speed for a 100-meter race. Emily gave John a 10-meter head start. Use the given data below to determine who won the race and by how many seconds.
John's run
A 2-column table with 4 rows. Column 1 is labeled Time (seconds) with entries 4, 6, 8, 10. Column 2 is labeled Distance (meters) with entries 35, 47.5, 60, 72.5.
Emily's run
A graph titled Emily's Run has time (seconds) on the x-axis and Distance (meters) on the y-axis. Points are at (4, 32), (6, 48), (8, 64), and (10, 80)
Step-by-step explanation:
Step 1: Since, they ran at a constant speed, first, we calculate John's speed ;
Speed = (change in distance)/(change in time)
John's Speed = (72.5 - 60)/(10 - 8) = 6.25 m/s
Step 2: Then, we calculate Emily's speed;
Speed = (change in distance)/(change in time)
Emily's Speed = (80 - 64)/(10 - 8) = 8.00 m/s
Also, it was stated that Emily gave John a 10 m head start, therefore, John ran a distance of 90 m at 6.25 m/s while Emily ran a distance of 100 m at 8.00 m/s
Step 3: Time taken by both runners
Time = (Distance/Speed)
Time taken by John; time = (90/6.25) = 14.4 s
Time taken by Emily, Time = (100/8.00) = 12.5 s
Therefore, Emily won the race since her time to complete the race was shorter. She won the race by (14.4 - 12.5) = 1.9 s
Emily and John each ran at a constant speed for a 100-meter race. Emily gave John a 10-meter head start. Use the given data below to determine who won the race and by how many seconds.
✔ Emilywon the race by about
✔ 2seconds.
Express the statement: y is not greater than -2 as an inequality.
What is the slope of the line? Pls I need help
Write the equation of a line that is parallel to y = -1 and that passes through the point (8, -4)
Step-by-step explanation:
y = 0x - 1.
Slope of the line = 0.
A line that is parallel to the original line must have the same slope, which is 0.
y = 0x + c.
When x = 8, y = -4.
-4 = 0(8) + c. So c = -4.
Hence the equation of the parallel line is y = -4.
is 2.7 a rational or a irrational
Answer:
Rational
Step-by-step explanation:
2.7 can be written as a fraction, so therefore it is ration[tex]2.7=2\frac{7}{10} =\frac{27}{10}[/tex]al.
The number 2.7 is a rational number.
A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero.
In other words, a rational number can be written in the form p/q, where p and q are integers, and q is not equal to zero.
Now, let's express 2.7 as a fraction:
2.7 = 27/10
Since 27 and 10 are both integers, and the denominator (10) is not zero, we have successfully expressed 2.7 as a fraction of two integers.
Therefore, 2.7 is a rational number.
On the other hand, an irrational number cannot be expressed as a simple fraction of two integers. Examples of irrational numbers include π (pi) and √2 (the square root of 2).
These numbers have non-repeating and non-terminating decimal expansions, and they cannot be written as a fraction of two integers.
However, 2.7 is a terminating decimal (it has a finite number of decimal places), and it can be expressed as a fraction, making it a rational number.
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Alright.
If you listen to lil peep drop your favorite song by him.
If you can’t answer then comment on a answer
Answer:
to be honest, probably like Star Shopping or Awful things :\
Answer: STAR SHOPPING OR YOUR FAVORITE DRESS BUT ALL HIS SO GS ARE AMAZING
Step-by-step explanation:
translate these pls
1. one less than the quotient of a number and -5
2. three times the sum of a number and 7
3. the product of a number and -3 increased by 4 is 12
4. the difference of twice a number and 9 is -21
5. x is at most 6
6. you must be at least 18 years old to vote
Answer:
How
Step-by-step explanation:
Find the midpoint of a segment with the given endpoints.
D(-4,4), X(-2, 2) =
Answer:
The answer is
( - 3 , 3)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
D(-4,4), X(-2, 2)
The midpoint is
[tex]M = ( \frac{ - 4 - 2}{2} \: , \: \frac{4 + 2}{2} ) \\ = ( - \frac{ 6}{2} , \frac{6}{2} )[/tex]
We have the final answer as
( - 3 , 3)Hope this helps you
Solve
5x - 4 = 3x + 12.
Answer:
x=8
Step-by-step explanation:
5x-4=3x+12
-3x. -3×
2x-4=12
+4. +4
2×=16
÷2. ÷2
x=8
if a car travels 45 miles in 30 minutes how far will the car travel in 2.5 hours
Answer:
225
Step-by-step explanation:
well divide 45 by 30 to get miles per min. = 1.5
and theirs 150 min in 2 1/2 hours
so now multiply 150 by 1.5 = 225
Find the value of x if PQ = x^2 + 3, QR = 4 + 2x, and PR = 15 if Q is between P and R.
Answer:
x=2
Step-by-step explanation:
PQ+QR=PR
=x^2+3+4+2x=15
=x^2+2x+7=15
=x^2+2x+7-15=0
=x^2+2x-8=0. (quadratic equation)
=(x+4)(x-2)=0. (factorise)
=x+4=0 or x-2=0
x=-4 or 2
we take x to be the positive value which is
x=2
Evaluate the expression when m = -6. m^2+6m+5
Answer: -67
Step-by-step explanation:
the value of p(x) = 5x-4x^2+3 at x=0
Steps to solve:
p(x) = 5x - 4x^2 + 3
~Substitute
p(0) = 5(0) - 4(0)^2 + 3
~Simplify
p(0) = 0 - 0 + 3
~Simplify
p(0) = 3
Best of Luck!
What is 108 square root to the nearest tenth
Answer:
the square root would be 10.4
Answer:
Yep the answer is about 10.4.
What is the sum of 4 + (-6)?
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
4+(-6)
4-6
-2
It’s dealing with Identifying and writing expressions.
Please help.!
Answer:
1.E
2.C
3.B
4.A
5.D
Identify the range of the function shown in the graph
Step-by-step explanation:
answer is c
hope it helps
plz mark as brainliest
Which of the following theorems verifies that DEF = STU
As we look at both triangles, we can see that they have a few things in common.
Each triangle shares a right angle, one leg, and an acute angle.
LL = leg and leg
HA = hypotenuse and angle
HL = hypotenuse and leg
LA = leg and angle
The triangles do not share two legs, nor do they share a hypotenuse.
Therefore,
LA is the only choice that makes sense.
For these two right triangle, LA(Leg and angle) verifies that ΔDEF ≅ ΔSTU.
What is the condition of congruence of two right triangles?If the hypotenuse and a side of a right- angled triangle is equivalent to the hypotenuse and a side of the second right- angled triangle, then the two right triangles are said to be congruent.
In these two given right triangles, ∠D = ∠S and ∠F = ∠U.
Therefore, the third angle of each triangle are equal as per the third angle theorem.
The leg of each triangle is equal as mentioned.
Therefore, LA(Leg and angle) verifies that ΔDEF ≅ ΔSTU.
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On Monday at the county fair , Jared played a game and won 75 tickets . On Tuesday , he won 105 tickets on Wednesday , he won 127 tickets , but the spent 250 of them on a prize . How many more tickets does Jared need to win a prize that costs 150 tickets ?
Answer: 93
Step-by-step explanation:
75+105+127= 307
307-250= 57
150-57= 93 (57 + 93 = 150)
solve v = π r^2 h solve for h
Answer:
Step-by-step explanation:
πr^2h = v
h = v/πr^2
Convert 5 6/7 into an
into an improper fraction.
Answer:
41/7
Step-by-step explanation:
You first should multiply the denominator, which is 7, by the whole number part, five, and add the numerator, six, to get the new numerator. Then you place the new number, 41, over the old denominater which leaves you with 41/7.
The mixed fraction 5 6/7 can be converted in to the improper fraction as 41/7.
Given a mixed fraction,
5 6/7
We have to convert this in to improper fraction.
Improper fractions are fractions which contains the numerator which is greater then the denominator.
All improper fractions can be converted in to mixed fraction and vice versa.
Here fraction is 5 6/7.
5 6/7 = 5 + 6/7
Cross multiplying,
5 6/7 = [(5 × 7) + 6] / 7
= (35 + 6)/7
= 41/7
Hence the improper fraction is 41/7.
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What are the single digit prime numbers
Answer:
The only single-digit prime numbers are: 2, 3, 5, and 7.
Answer:
2, 3, 5, 7
Step-by-step explanation:
1) Prime numbers are numbers that can only be multiplied by themselves and one; therefore, they only have two factors.
Hope this helps!
The lines 3y + 1 = 6x + 4 and 2y + 1 = -6 – 9 are
Parallel
Answer:
False
Step-by-step explanation:
These two lines are not Parallel because at (-4.5, 8) they meet
y= 2.83x + 88.7 i need the slope for this. can someone help? what is the relationship in the equation
Hey there! I'm happy to help!
This is slope intercept form: y=mx+b, where m is the slope and b is the y intercept. The slope is what is multiplying x. In our case, 2.83 is multiplying x, so 2.83 is the slope.
Have a wonderful day! :D
Solve the equation 3+2/5x=11-2/5x
Answer:
x= 10
Step-by-step explanation:
If rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated, how many hours must have passed if there are 5 inches of rain? Create a linear equation that is a model for the rain that has accumulated. Select the two correct answers. (1 point)
Given :
Rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated.
To Find :
How many hours must have passed if there are 5 inches of rain .
Solution :
Let , after x hours rain accumulated is 5 inches .
We know , general equation of line :
y = mx +c
Here , m = 0.5 and c = 1 .
So , equation of rain accumulated is :
[tex]y=0.5x+1[/tex]
Now , putting value of x = 5 hours .
We get :
[tex]y=0.5\times 5+1\\\\y=2.5+1=3.5\ inches[/tex]
Hence , this is the required solution .
Answer:
0.5h+1.5=5
1.5h+0.5=5
Identify the dependent and I depend variable
y is the dependent variable and x is the independent variable.
LOL Khan Academy
3 ( x - 2 ) + 5 x = 18
Answer:
3 is correct answer
Step-by-step explanation:
[tex]3(x - 2) + 5x = 18 \\ 3x - 6 + 5x = 18 \\ 8x - 6 = 18 \\ 8x = 18 + 6 \\ 8x = 24 \\ x = \frac{24}{8} \\ x = 3[/tex]
hope it helped you:)
Answer:
x=3
Step-by-step explanation:
3x-6+5x=18
add the same terms to both sides
8x-6=18
add the term again
8x-6+6=18+6
simpfly
8x=24
8x/8 24/8
x=3
5.
If WX = XY, what is the length of WZ?
Answer:
25
Step-by-step explanation:
Segment XY = 10
Segment XZ = 15
Since the lenght of segment WX is said to be congruent to the lenght of segment XY, therefore:
WX = XY = 10
Segment WX + Segment XZ = Segment WZ (segment addition postulate)
[tex] 10 + 15 = WZ [/tex] (substitution)
[tex] 25 = WZ [/tex]
[tex] WZ = 25 [/tex]
Length of segment WX = 25
What transformations are used in transforming the parent graph y = x, to obtain the graph of c (x) = StartFraction 5 Over 9 EndFraction (x minus 32)? Check all that apply.
Given that:
Parent equation : [tex]y=x[/tex]
Transformed function : [tex]c(x)=\dfrac{5}{9}(x-32)[/tex]
Solution:
Let Parent equation be [tex]f(x)=x[/tex]. Then,
[tex]c(x)=\dfrac{5}{9}f(x-32)[/tex] ...(1)
The translation is defined as
[tex]c(x)=kf(x+a)+b[/tex] .... (2)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]k=\dfrac{5}{9}<1[/tex] , So graph of parent function compressed vertically by factor [tex]\dfrac{5}{9}[/tex].
[tex]a=-32<0[/tex], so the graph of parent function shifts 32 units right.
[tex]b=0[/tex], so there is no vertical shift.
Therefore, the graph of parent function compressed vertically by factor [tex]\dfrac{5}{9}[/tex] and shifts 32 units right to get the graph of c(x).
horizontal translation
vertical compression
Step-by-step explanation:
the first 2
how do you solve this question
Answer:
y÷234
Step-by-step explanation:
3×81x=234
234x=9x+y
234x-9x=y
x=y÷234
