Complete question :
Alexandra and Chi compete in an Olympic-type triathlon consisting of a 1.5 km swim, a 40 km bicycle ride, and a 10 km run. There are two transitions in the race where the participants take time to change from one mode of the race to another. Their times from the race are shown. Complete questions 1dash4 below.
How long does it take Alexandra to complete the triathlon. Write a linear equation to model total time t in hours.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
SWIM:
Alexandra __5km/hr
Chi _______ 6km/hr
Transition 1:
Alexandra __ 4 minutes
Chi _______ 5 minutes
CYCLE:
Alexandra __15km/hr
Chi _______ 15km/hr
Transition 2:
Alexandra __ 3 minutes
Chi _______ 5 minutes
RUN:
Alexandra __6km/hr
Chi _______ 7.5km/hr
Distances:
swim distance = 1.5km
bicycle ride distance = 40km
run distance = 10km
Time taken by Alexandra :
time = distance / speed
Swim time = 1.5km / 5km/hr = 0.3 hr
Transition 1 = 4/60 = 0.067 hr
Cycle time = 40km / 15km/hr = 2.67 hours
Transition 2 = 3/60 = 0.05 hr
Run time = 10 / 6km/hr = 1.67 hrs
Total time(t) in hours taken by Alexandra :
(0.3 + 0.067 + 2.67 + 0.05 + 1.67) hrs = 4.757 hours
Time taken by Chi :
time = distance / speed
Swim time = 1.5km / 6km/hr = 0.25 hr
Transition 1 = 5/60 = 0.083 hr
Cycle time = 40km / 15km/hr = 2.67 hours
Transition 2 = 5/60 = 0.083 hr
Run time = 10 / 7.5km/hr = 1.33 hrs
Total time(t) in hours taken by Chi
(0.25 + 0.083 + 2.67 + 0.083 + 1.33) hrs = 4.757 hours = 4.416 hours
Why do my teachers give me problems they can't help me with -_-
Answer:
a. False
b. True
c. True
d. False
Step-by-step explanation:
a. Is false because it says the equivalent ratios of centimeters and feet. When it is comparing centimeters and inches
b. Is true because the unit rate in this double number line is 2.54 centimeters per inch
c. Is true because it shows on the double number line that 6 inches is equal to 15.54 centimeters
d. Is false, although the fact that 0.039 inches are in a centimeter is true, it does not show that rate in the double number line
I hope this helps :)
Answer:
a. True
b. True
c. True
d. False
Step-by-step explanation:
a. 30.48 centimeters is equal to one foot (12 inches)
b. The unit rate means how many centimeters per inch
c. 6 inches on the number line is equal to 15.24 centimeters
d. If you divide 1 by 2.54 the answer is 0.39 not 0.039
Circle the equation and put an X through the non-equations
a. 3+4=x
b. 2x-5=20
c. 3+2=x+7
d. 3x-4
Answer:
a, b, c are all equations d non equation
Step-by-step explanation:
There is a series of three chemical reactions (1→2→3) that form the overall chemical reaction.
How is the ΔH3 calculated if the others are known?
ΔH3 = ΔH1 + ΔH2 - ΔH4
ΔH3 = ΔH4 -( ΔH1 + ΔH2)
ΔH3 = (ΔH1)(ΔH2)(ΔH4)
ΔH3 = ΔH1 + ΔH2 + ΔH4
From the statement of Hess law, the ΔH3 is calculated when others are known from; ΔH3 = ΔH4 -( ΔH1 + ΔH2).
What is Hess law?Hess law of constant heat summation states that the total heat evolved or absorbed for a series of reactions is the sum of all the heat absorbed or evolved at all steps in the reaction sequence.
Let the heat for the overall reaction be ΔH4 while ΔH1, ΔH2 and ΔH3 designate the heat of reaction for reactions 1,2,3. It then follows that, the ΔH3 is calculated when others are known from; ΔH3 = ΔH4 -( ΔH1 + ΔH2).
Learn more about heat of reaction: https://brainly.com/question/517776
if m∠TUV=(9x+11)°, m∠TUW=(7x-9)°, and m∠WUV=(5x-11)°, find the value of x.
Answer: X = 9
Step-by-step explanation:
We know that a triangle has 3 angles that add up to 180 degrees.
9x+ 11 + 7x - 9 + 5x - 11 = 180
21x - 9 = 180
21x = 189
x = 9
At Marco's Pizza House it costs $4.00 to make a small
pizza. If they intend to mark-up the pizza by 80% what
will the cost be for customers?
A. $4.32
B. $4.80
C. $7.20
D. $32.20
Answer:
7.20 dollars
multiply $4 and 80%
then add ur answer with 4
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Can somebody please help me with this ?? :)
The equation is: 3x^3 = 4x + 8
The form is ax^2 + bx + c = 0
Rewrite the given equation to equal 0:
Subtract 3x^2 from both sides to get:-3x^2 + 4x + 8 = 0
Now give each letter their value:
a = -3, b = 4, c = 8
Is this a supplementary angle or a complementary angle?
Answer:
Supplementary angles
Step-by-step explanation:
The two angles shown are supplementary. You can see if the 3x+15 were to slide down to the next line, how the 3x+15 and 2x would make up a linear pair. Together they add up to 180°
Not sure if you need it, but to solve for x:
3x+15 + 2x = 180
combine like terms.
5x + 15 = 180
Subtract 15.
5x = 165
divide by 5
x = 33
Then you can find the measures of the angles.
3(33)+15
= 114°
2(33)
=66°
What’s 5.2 times by 7.7
Answer:
The answer is 40.04
Step-by-step explanation:
5.2 x 7.7 = 40.04
What value of x is in the solution set of 8x 6 12+2x
O-1
O 0
O 3
O 5
Step-by-step explanation:
Just consider the inequalities an equal sign and do the usual way of solving:
8x - 6 > 12 + 2x
8x - 2x > 12 +6
6x > 18
x > 3
*The only rule that you need to remember is that when you multiply or divide a negative number on both sides, then the inequality sign would be reverse.*
Example:
-x + 3 > -2
-x > -2-3
-x > -5
Multiplying both sides by -1:
x < 5
Answer:
D.) 5
Step-by-step explanation:
Solving One-Variable Inequalities on edge
a bowl has 3 red jellybeans,4 green jellybeans and 2 pink jellybeans. what is the probabilty of not choosing a red jelly beans
Answer:
1/2
Step-by-step explanation:
4+2 is green and pink jelly beans. 6. 3 is red. 3/6 is the probability, which is 1/2
Answer:
Step-by-step explanation:
Total Number of Jelly Beans = 3 + 4 + 2 = 9
There are two ways to do this. You could just add the pink and green jellybeans and put that over the total to get the probability of not red.
Sometimes it is better to find the probability of getting red and subtracting it from 1.
P(red) = 3/9 = 1/3
P(not red) = 1 - 1/3
P(not red) = 2/3
What is the difference? StartFraction 2 x 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x 5 Over x cubed minus 9 x EndFraction minus StartFraction x 1 Over x squared minus 9 EndFraction.
The expression which is equivalent to the difference of the given algebraic fraction is,
[tex]\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}[/tex]
What is the difference?Difference is the mathematical operation in which the one number is subtract from another number.
To find the difference of two fraction numbers, we find the least common factor of denominator and write the all numbers as one fraction.
The given expression in the problem is,
[tex]\dfrac{2x+5}{x^2-3x}-\dfrac{3x+5}{x^3-9x}-\dfrac{x+1}{x^2-9}[/tex]
Factorize the denominator of each term as,
[tex]\dfrac{2x+5}{x(x-3)}-\dfrac{3x+5}{x(x-3)(x+3)}-\dfrac{x+1}{(x-3)(x+3)}[/tex]
Here, the least common factor of the denominators is x(x-3)(x+3), therefore, the expression can be written as,
[tex]\dfrac{(x+3)(2x+5)-(3x+5)-(x)(x+1)}{x(x-3)(x+3)}\\\dfr\dfrac{2x^2+5x+6x+15-3x-5-x^2-x}{x(x-3)(x+3)}\\\dfr\dfrac{x^2+7x+10}{x(x-3)(x+3)}\\\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}[/tex]
Hence, the expression which is equivalent to the difference of the given algebraic fraction is,
[tex]\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}[/tex]
Learn more about the difference of two fractions here;
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If you deposit $5000 into an account that pays 3% annual Interest compounded -annually, how much money will you have after 2 years?
Answer:
$5130.84
Step-by-step explanation:
100 + 3 = 103%
103% = 1.013
$5000 x 1.013^2 = $5130.84
Hope this helps!
please help me i put the two pictures there
Answer: 91 and 101 miles
Step-by-step explanation:
the sum of two times a number and -2 is at least 8
how can I solve it plz help
PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!
Answer:
The answer you pick is right YOU SMART
Step-by-step explanation:
Maggie is knitting sweaters for her family. Each day she makes 1/4 of a sweater. Which fraction shows the number of sweaters can knit in 8 days
The fraction which represent the number of sweaters Maggie knits in 8 days is 2/1 sweaters
How to solve fraction?Sweaters Maggie knits per day = 1/4Number of days = 8 daysTotal number of sweaters Maggie knits = Sweaters Maggie knits per day × Number of days
= 1/4 × 8
= (1 × 8) / 4
= 8/4
= 2/1 sweaters
Learn more about fraction:
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An angle measures 6° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
42°, 48°
Step-by-step explanation:
Complementary angles have a sum of 90 degrees. This lets us write the relation ...
x + (x +6) = 90 . . . . . where x represents the angle; x+6 is its complement
2x = 84 . . . . . . . collect terms, subtract 6
x = 42 . . . . . divide by 2
x +6 = 48 . . . . find the complementary angle
The two angles are 42° and 48°.
4. Draw the image of rectangle `ABCD` under dilation using center `P`and scale factor 1/2
a) Complete the table to help you by counting distances from P.
b) To complete the last column, simply MULTIPLY each distance by the scale factor.
c) Drag the points A'B'C'D' to the correct locations on the grid. Use the LAST column of the table to help you find the NEW locations of the points.
HELP ASAP ILL MARK BRAINLIST
What is the missing value for x on the diagram below? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
it's radius is 6 so diameter is 12 .
12^2+x^2=15^2
144+x^2=225
x^2=111
x=underradical111
What is the measure of the missing side to the nearest tenth?
9
23
х
Answer: 24.7
Step-by-step explanation:
m angle SRW = what degrees
Answer: 85 degrees
Step-by-step explanation: ∠URW are 80 and 15
5x-4y=19
x+2y=8
solve the simaltaneous equation
Answer:
( 5, 3/2 )
x = 5
y = 3/2
Step-by-step explanation:
5x - 4y = 19
x + 2y = 8
-------------------
2(x + 2y = 8) = 2x + 4y = 16
----------------------
5x - 4y = 19
2x + 4y = 16
7x = 35
÷7 ÷7
x = 5
-----------------------
x + 2y = 8
5 + 2y = 8
-5 -5
2y = 3
÷2 ÷2
y = ( 3/2 )
I hope this helps!
Answer:
( 5, 3/2 )
Step-by-step explanation:
Can you have a triangle with two right angles?
Answer:
no
Step-by-step explanation:
because there are two angles
My Answer ↓
No. You cannot have a triangle with two right angles due to the concept that a triangle can only have 3 sides. Therefore, a triangle can only have 1 right angle.
a train is moving at a uniform speed of 80 kilometre per hour.
a) how far will it travel in 15 minutes
b) find the time required to cover a distance of 250 km. { as per direct and inverse propositions}.
A train is moving at a uniform speed of 80 kilometre per hour.
a) how far will it travel in 15 minutes
b) find the time required to cover a distance of 250 km. { as per direct and inverse propositions}.
Explanation -:a)
Given that the train is moving at a uniform speed of 80 km/h.
Time taken = 15 minutes
First we will convert the time
[tex] \small \sf Time \: taken = 15 min = \dfrac{ \cancel{15}}{ \cancel{60}}hr = \dfrac{1}{4}hr [/tex]
Now we will calculate the distance
We know,
[tex] ✪ \: \small\boxed{ \frak{ {Distance }= {Speed} × Time }}[/tex]
Substituting the values in the given formula
[tex] \small\sf{ Distance = \cancel{ 80} \: \: 20 \: km/ \cancel{ hr} × \dfrac{1}{ \cancel{4}} \cancel{hr} =20km }[/tex]
Distance covered in 15 minutes = 20 km
[tex] \rule {40mm}{2pt}[/tex]
b)
Given that the train is moving at a uniform speed of 80 km/h.
Distance covered = 250 km
Calculating the time
We know,
[tex] ✪ \: \small\boxed{ \frak{ Time = \dfrac{Distance}{Speed}}}[/tex]
Substituting the values in the given formula
[tex] \small\sf{ Time = \dfrac{250 km}{80 km/hr} =3 \: hrs \: 20 \: mins }[/tex]
[tex] \star \: \small\sf{ Final \: Answer }[/tex]
Distance = 20 kmTime = 3 hrs 20 minutes[tex] ••═════════════••══════[/tex]
The local grocer unpacked 34 pounds of apples and pears. The apples came in 7-1b
bags and the pears came in 2-lb bags. In all, he unpacked 7 bags of fruit. How many
bags of apples and pears did he unpack?
3 apple and 4 pear
2 apple and 5 pear
5 apple and 2 pear
4 apple and 3 pear
Answer:
last one
Step-by-step explanation:
i did 7x4 for the apples, then added 2x3 for the pears and got 34 in total.
three times a number
"Z" is at least negative twealy four
Answer:
whats your question im confused
Step-by-step explanation:
HOW EVER ANSWERS THIS WILL MARKED AS BRAINLIST AND WILL GET A FOLLOW.
In a traffic count a man recorded a 15 min video and counted the cars coming the total cars he counted were 303 cars. So how many cars drove in 1 min? and how many cars drove in 1 hours and 24 hours?
find the value of y (pls help me :C)
2y-8×9 = -3×9×5y+476
Hey there!
Let's solve your equation step-by-step.
[tex]\fbox{2y−(8)(9)=(((−3)(9))(5))(y)+476}[/tex]
Step 1: Simplify both sides of the equation.
[tex]\fbox{2y−(8)(9)=(((−3)(9))(5))(y)+476}[/tex]
[tex]\fbox{2y+−72=−135y+476}[/tex]
[tex]\fbox{2y−72=−135y+476}[/tex]
Step 2: Add 135y to both sides.
[tex]\fbox{2y−72+135y=−135y+476+135y}[/tex]
[tex]\fbox{137y−72=476}[/tex]
Step 3: Add 72 to both sides.
[tex]\fbox{137y−72+72=476+72}[/tex]
[tex]\fbox{137y=548}[/tex]
Step 4: Divide both sides by 137.
[tex]\fbox{137y/137 = 548/137}[/tex]
[tex]\fbox{y=4}[/tex]
Answer:
[tex]\fbox{y=\fbox{4}}[/tex]
Solve the absolute value equation, [x] – 2 = 5.
Answer:
x=7
Step-by-step explanation:
Ok so first off, the x variable being in absolute value form will not change the outcome of the problem at all since there are no other x variables in the equation.
x-2=5
(add 2 on both sides)
x=7
Malik claims that a 120° angle and side lengths of 3 cm
and 4 cm can form more than one unique triangle. He
draws these triangles as proof. Is Malik correct? Explain
why or why not.
A 120° angle and the side lengths can form more than one unique triangles
Malik's claim about the triangle is true
How to prove or disprove Malik's claim?From the question, we have Malik's claim to be:
A 120° angle and side lengths of 3 cm and 4 cm can form more than one unique triangle
The above claim is true;
This is so because, the 120 degrees angle can be between the side lengths of 3 cm and 4 cm and the angle can be located not between the side lengths
This means that there are at least two unique triangles that can be formed using the given parameters
Hence, Malik's claim about the triangle is true
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