Kate, Alexia, and Trina just completed the 400-meter dash at the track meet. Kate finished the race 6 seconds faster than Alexia, while Trina finished the race 3 seconds faster than Kate. If their combined time was 2 minutes and 39 seconds, find each girl’s individual time.

Answers

Answer 1

Answer:

Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds

Step-by-step explanation:

A = K + 6

T = K - 3

K + A + T = 2 min 39 sec or 159 sec

K + (K + 6) + (K - 3) = 159sec

3K + 3 = 159sec

3K = 156sec

K = 52 sec

A = 52 + 6 = 58 sec

T = 52 - 3 = 49 sec


Related Questions

x 2 − 10 x + 5
what is the answer

Answers

Answer:

-8x+5

Step-by-step explanation:

txt if you need a explanation

The polynomial f(2) = 2? + 432 - 594 is a parabola. The parabola's x-intercepts are (11, 0) and (-54, 0). Give the factored form of the
polynomial.

Answers

725182626282527736282628

Mr. Green’s hobby was restoring old houses. He recently purchased an old rundown house that needed a lot of repair, especially with the plumbing. The kitchen faucet dripped all day and night. It intrigued Mr. Green how much water dripped from this faucet in one day, but he surely didn’t want to sit and watch the faucet drip all day. So he figured that if he could discover how much water dripped within a certain time span, he could calculate the dripping rate for any time span. In his first observation he noted that 6 ounces of water dripped in 10 minutes.

A) Using Mr. Green’s observation, can you help him figure out how much water would have dripped in only 5 minutes?

Answers

Answer:

3 ounces of water

Step-by-step explanation:

If 6 ounces of water dripped in 10 minutes, then that means that in HALF the time (5 minutes), HALF the amount of water would drip, which is 3 ounces.

What is a good estimate for 280% of 30? Explain.

Answers

Answer:

84

Step-by-step explanation:

Calculator:280÷100×30=84

Answer:

84

Step-by-step explanation:

Someone help me please. I don't just want the answer, I need an explanation on how it's done too.​

Answers

Answer:

Below.

Step-by-step explanation:

f) (a + b)^3 - 4(a + b)^2  

The (a+ b)^2 can be taken out to give:

= (a + b)^2(a + b - 4)

= (a + b)(a + b)(a + b - 4).

g)  3x(x - y) - 6(-x + y)

=  3x( x - y) + 6(x - y)

= (3x + 6)(x - y)

= 3(x + 2)(x - y).

h) (6a - 5b)(c - d) + (3a + 4b)(d - c)

=  (6a - 5b)(c - d) + (-3a - 4b)(c - d)

= -(c - d)(6a - 5b)(3a + 4b).

i)  -3d(-9a - 2b) + 2c (9a + 2b)

= 3d(9a + 2b) + 2c (9a + 2b)

=  3d(9a + 2b) + 2c (9a + 2b).

= (3d + 2c)(9a + 2b).

j)  a^2b^3(2a + 1) - 6ab^2(-1 - 2a)

=  a^2b^3(2a + 1) + 6ab^2(2a + 1)

= (2a + 1)( a^2b^3 + 6ab^2)

The GCF of a^2b^3 and  6ab^2 is ab^2, so we have:

(2a + 1)ab^2(ab + 6)

= ab^2(ab + 6)(2a + 1).

HURRY for Brainlist

The drama club is printing t-shirts for its 21 members. The printing company charges a certain amount for each shirt plus a setup fee of $40.

Write an equation to represent the total cost for printing the shirts.

Question 1 options:

C = 21 + 40t


C = 21t - 40


C = 21t + 40


C = 21t

Answers

For the question in the photo:
y = 2.50x + 7.50

Domains:
0, 2, 3, 4, 5, 6, 7, 8, 9, 10

As you can’t ride 0.2 or 0.7 of a ride, for example, and you only have time for ten rides. Plus you have enough money to ride ten rides

For the drama club one:

C = 21t + 40

Is the correct answer as 40 is a set value and is not influenced by the amount of club members there are, x is the amount per shirt, and C is the cost
Answer:

C = 21t + 40

Explanation:
Since the fee is 40 it’s +40 which in turn means doesn’t get affected by t hope this helps

I dont know what this is no links please

Answers

Answer:

Hamm i think si r or q mm sorry if it's wrong

Step-by-step explanation:

I think the answer would be q


Someone please help me

Answers

Answer:

yes as if two opposite sides of a four sided quadrilateral turns up to be symmetry or same then it is a rectangle not a square as a square has four lines of symmetry

The answer is yes Dave is correct

Which of the following properties could be used to rewrite the expression (2/3 . 1/5) . 5/2 as 2/3 . (5/2 . 1/5)
a. The commutative property used twice
b. The associative property followed by the commutative property
c. The commutative property followed by the associative property
d. The associative property used once​

Answers

Answer:B

Step-by-step explanation:

4(t²-5t) + 3u³ when t=4 and u=5?

ASAP

Answers

The answer to this equation will be 359

Answer:   359

Step-by-step explanation:

4(t²-5t) + 3u³   plug in the t and u

= 4[4²-5(4)] + 3(5)³

= 359

y=-2x + 7
y = 5х – 7
Find the solution

Answers

Answer:

x = 2

Step-by-step explanation:

Given:

y = -2x + 7 y = 5х – 7

If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.

=> -2x + 7 = 5х – 7

=> 7x = 14

=> x = 2

Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.

=> y = 5х – 7

=> y = 5(2) - 7

=> y = 10 - 7

=> y = 3

Hoped this helped.

Which of these reasons would John not need to use in his proof

Answers

there’s no options shown on my screen, sorry, if you’re able to reupload ill gladly help

Order the numbers 0.64, 2/3, 65%, and 7/10 from least to greatest.
(Please explain how you did it too-)

Answers

Answer:

the order is 0.64, 65%, 2/3, and 7/10

Step-by-step explanation:

because 2/3=0.66666, 65%=0.65, 7/10=0.7

please help, i don’t know how to work this out!!

Answers

Answer:

40 degrees

Step-by-step explanation:

so, a triangle is 180 degrees. you know that one angle is 60 degrees.

180= 60+ 2x + x

this is the equation of the triangle

120=3x

simplify

40=x

x= 40 degrees

hope this helps :)

What series of transformation will not map figure H onto itself

Answers

Answer:

D

Step-by-step explanation:  

Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)

Consider option D.

1st transformation  will map vertices of the square into points

....2nd transformation = reflection over y = -x + 2 will map vertices into points ....

These points are not the vertices of the initial square.

I hope it helps.

The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?

Answers

Answer:

The answer will be 12 students. 12 students must transfer from Class Y to Class X so that both classes have equal number of students.

Step-by-step explanation:

Since the ratio is 2 : 5, we would multiply both number to 8 and get 16 : 40.

Now find the average of those two numbers: (16 + 40) / 2 which gets you 28. Now either subtract 16 from 28 or subtract 28 from 40 and you will get 12.

28 - 16 = 12 students

40 - 28 = 12 students.

Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?

Answers

Answer:

5 /12

Step-by-step explanation:

Multiply the binomials:

(3x + 4)(5x − 2)

Answers

Answer:

15x^2 + 14x - 8

Step-by-step explanation:

can yall help me plzz

Answers

Answer:

x = 8

Step-by-step explanation:

To get x on its own we need to divide both sides by 0.6: 4.8 ÷ 0.6 which is 8.

Hope this helps!

stteps for solving 6(4x-3) are shown

which of these is not a part of the solution prosess

Answers

Answer:2 4  −  1 8

Step-by-step explanation:

Solve the equation the square root of the quantity x plus 4 minus 3 equals 1 for the variable. Show each step of your solution process. (10 points) SOLVE FOR X

Answers

x + 4 - 3 = 1

x + 1 = 1

x = 0

Answer:

x = 8

Step-by-step explanation:

√x + 4 - 3 = 1

1) Move constant terms to the opposite side of the equation: √x + 4 = 1 + 3

2) Simplify the right side: √x + 4 = 4

3) Now square both sides to eliminate the square root: (√x + 4)^2 = 4^2 (x + 4) = 16

4) Move the constant term to the other side: x + 4 = 16 – 4

5) Simplify the right side: x + 4 = 12

6) Move constant side to the other side: x = 12 – 4

7) Finally, after simplifying the right side again, you get: x = 8

Therefore, the solution to the equation √(x + 4) - 3 = 1 is x = 8.

please help what is #4?

Answers

To Prove:-

JK=IJ

JK= ½IK = IJ= ½IK

JK= IJ(Equal Distance)

GK//HI (Parallel)

Therefore, JK congruent IJ

Hope This Helps

6.3(1 + f) =







6.3(1 + f) =

Answers

6.3+6.3f and that’s because you need to multiple both sides by 6.3

Answer:

63 times (f+1)/ 10

Step-by-step explanation:

* Simplify 63 over 10

* 63 over 10 times (f+1)

= 63 times (f+1) over 10

pls help me with this question ...​

Answers

Here is ur perfect answer

Answer:

x = 207

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

([tex]\sqrt{x}[/tex] )² + 7² = 16²

x + 49 = 256 ( subtract 49 from both sides )

x = 207

32is ​0.2% of what​ number? Use pencil and paper. Would you expect the answer to be a lot less than ​32, slightly less than ​, slightly greater than ​32, or a lot greater than 32 ​? Explain

Answers

Answer:

A lot greater

Step-by-step explanation:

32 is 0.2% of the number, that is a small amount compared to what the whole is

Professor Baird wants to mix a solution
containing 10% acid with one containing 15%
acid to obtain a 20-ounce solution containing
12% acid. How many ounces of the 10% solution
should the professor use?

Answers

Answer:

The answer is 12 ounces :)

Step-by-step explanation:

Find the y-intercept and then write the linear equation for the line passing
through (-12, 5) with m = -2/3,


Answers

Answer:

Y-intercept: -3

Equation: y = -2/3x -3

Step-by-step explanation:

Slope intercept equation: y = mx + b, m is the slope and b is the y-intercept

Substitute m with -2/3, your equation should now be y = -2/3x + b

To find the y-intercept, plug in the point (-12,5) and solve for b.

1. 5 = -2/3(-12) + b

2. 5 = 8 + b

3. b = 8 - 5

4. b = 3

PLEASE HELP THIS IS DUE TOMORROW

Answers

Answer:

Step-by-step explanation:

How do you solve (x+4)2 ?

Answers

Answer:

Simplify the expression.

x2+8x+16

Step-by-step explanation:

max has x dollars. Keisha has four more dollars then max

Answers

Answer:

4x

Step-by-step explanation:

Simply add 4 and x, and that is 4x.

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