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

Round 5.456 to the nearest tenth.​

Answers

Answer:

5.5

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

We use the hundredths place, so 5.

5 gets rounded up, so we have 5.5

The final grade on your math exam was determined by the function f(x) = 100 − 2x. Which statements are correct?
A) 100 is the maximum grade.
B) y equals your final grade.
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems.

Answers

Answer:

A. True

B. True

C. False

D. True

E. False

Step-by-step explanation:

A. True, you cannot get higher than 100 on this test , as you cannot get a negative amount of questions wrongs

B. True, as y = f(x)

C. False, as there is no exponents

D. True, as if x=1, you lose 2 points

E. False, as x is the number of wrong problems

JELLY BEANS A large jar contains B blue Jelly beans and R red jelly beans. A bag of 100 red and 100 blue jelly beans is added to the jar. What is the ratio of red to blue jelly beans in the Jar?


PLEASE HELP ME. Would very much appreciate it ​

Answers

Answer:

100:100

Step-by-step explanation:

100 reds and 100 blues are in there

(08.02 MC)

A pair of equations is shown below:

y = 2x − 1
y = 4x − 5

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)

Part B: What is the solution to the pair of equations? (4 points)

Answers

Answer:

part A

y = 2x -1

the slope is 2/1 means it will be up 2 right 1 or down 2 left 1 the slope is positive

the y-int is -1

y = 4x -5

the slope is 4/1 means it will be up 4 right 1 or down 4 left 1 the slope is positive

the y-int is -5

part B  

the solution to this is (2,3)

Step-by-step explanation:

Answer:

Part A:

y = 2x - 1

Slope = 2/1

Y intercept = -1

y = 4x -5

Slope = 4/1

Y intercept = -5

Part B:

x = 2    y = 3

Step-by-step explanation:

Part A: To solve the pair of equations graphically, we need to plot the 2 lines on a graph, and look at where they intercept. Then we draw a vertical line from the intersection to the x axis and we know what x is equal to. Laslty, we draw another line (horizontal) from the intersetcion to the y axis and we know what y is equal to.

Equation of a line: y = mx + c

where mx is the slope and c is the y intercept

y = 2x - 1

Slope = 2/1 -- 2 divided by 1 because it goes 2 squares up and 1 to the right

y intercept = -1

y = 4x - 5

Slope = 4/1

y intercept = -5

Part B:

Solving for x:

Since we know that y = 2x - 1 but also 4x - 5, then:

2x - 1 = 4x - 5

2x + 4 = 4x

4 = 2x

x = 2

Solving for y:

Since we know that x = 2, we just have to replace it in one of the two equations, let's say y = 2x - 1. This would give us:

y = 2 x 2 - 1

y = 4 - 1

y = 3

185/6 helppppppppopppooooooooo meee​

Answers

Answer:

30 5/6

Step-by-step explanation:

185 = 30x6 + 5

Answer:

30 5/6

Step-by-step explanation:

goodluck guyssSana Tama yan

Find the highest common factor and lowest common factor of 78 and 130

Shown method would be great thankss :))

Answers

Answer:

The GCF is 26 and the least common factor is 390

Step-by-step explanation:

The GCF is 26 because 2, LCF is 390 because 78x5 equal 390 and 130x3=390.

1,245 jellyfish were washed up onto shore over a
2-week period. About how many jellyfish is this,
rounded to the nearest thousand?

Answers

1000. 1245 rounded to the nearest thousands is 1000 because it’s closer to 1000 than 2000

10. Shown here is the graph of which inequality?

Answers

Answer:

B) 3x +2y >= 6

Step-by-step explanation:

solve using substitution

Answers

Answer:

I would love to help but I can't I'm sorry. but I love your handwriting it's so neat

The store owner purchased 26 shirts for $810.68. How much did each shirt cost?​

Answers

Answer:

$31.18

Step-by-step explanation:

810.68/26=31.18

Answer:

$31.18 e/a

Step-by-step explanation:

If I is parallel to m, solve for x.

Answers

Answer:

x = 16

Step-by-step explanation:

(8x - 14) = (5x + 34) since they are alternate exterior angles.

Solve for x:

8x - 5x - 14 = 34

3x - 14 = 34

3x = 34 + 14

3x = 48

x = 48/3  = 16

can 22.75 be rounded off to 23.5?
(im not smart pfft)​

Answers

Answer:

No

Step-by-step explanation:

22.75 can be rounded to:

22.8

23

20

Answer:

no only 22.8

Step-by-step explanation:

The graph below represents the path of a squirrel traveling up and down a tree over time.
The position of the squirrel can be calculated using the function p (t) = at? + b + c.
What is the value of a?
What is the value of b?
What is the value of c?

Answers

Answer:

a= -1

b= 7

c= 0

Step-by-step explanation:

equation is

y=h(x)(x-7)

let x be 5 and y be 10 to solve for a

10=h(5)(5-7)

10=h(-10)

h=-1

now equation is

y= -x²+7x

so a=-1

b=7

c=0

The value of a is -1, the value of b is 7 and the value of c will be equal to zero.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data provided in the question,

y = h(x) × (x-7)

let x be 5 and y be 10 to solve for a

10=h(5) × (5-7)

10 = h(-10)

h = -1

now equation is

y = -x²+7x

So,

a = -1

b = 7

c = 0

To know more about expression:

https://brainly.com/question/14083225

#SPJ2

PLEASE HELP ! what is f(5)
A) 0
B) 5
C) -7
D) -5

Answers

[tex]⇒[/tex][tex]f(x) = f(5) \\ = 5f[/tex]

- BRAINLIEST answerer

the answer is C. -7

f(5) = -7

How many 6 are in two

thirds

Answers

it’s 4 6ths.

goodluck

how many times does 15 go into 142 please no links thank you 71 points

Answers

Answer: 9 times

Explanation

question number fifteen​

Answers

Answer:

d. EDC

Step-by-step explanation:

if you mirror the triangle ABC, it fits perfectly with triangle EDC

7.6.1 Determine the new dimensions of the follo figures below given the scale factor: 1 Scale Factor of 1/4 4 U! 6 15 in 12 in​

Answers

Answer: at least 2

Step-by-step explanation: idek


A garden table and a bench cost $783 combined. The garden table costs $83 more than the bench. What is the cost of the bench?

Answers

Answer:

$557.5

Step-by-step explanation:

783/2

391.5 + 83 (more) =

557.5

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 95% pure antifreeze. The company wants to obtain 285 gallons of a mixture that contains 55% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Answers

Answer:

premium: 165 gallonswater: 120 gallons

Step-by-step explanation:

Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:

  0.95a +0(285 -a) = 0.55(285)

  a = 0.55/0.95(285) = 165 . . . gallons of 95%

  285 -a = 285 -165 = 120 . . . . gallons of water

There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.

Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?

Answers

Step-by-step explanation:

answer is in the above picture

Write an equation for the n term of the arithmetic sequence -1, 4, 9, 14, . Then find a50

Answers

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = - 1

To find the common difference subtract the previous term from the next term

We have

d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]

Hope this helps you

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = - 1

To find the common difference subtract the previous term from the next term

d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]

Get it right and you get the brainliest. Copy the lines and draw on them to complete the assignment.

Answers

Answer:

Step-by-step explanation:

Please help! WILL MARK BRAINLIEST

Answers

Answer:

[tex](4,2)[/tex]

Step-by-step explanation:

In our graph only [tex](4,2)[/tex] makes sense

The last one makes an upside-down triangle which is not what we're looking for

The third one makes a weirdly shaped one which we're not looking for

The second one doesn't look like the triangle we're looking for so it's incorrect

This means the first one is correct

Brainliest please

What is a dot product.

Answers

Answer:

In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. ... Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers

Step-by-step explanation:

please someone solve this please asap​

Answers

Answer:

Step-by-step explanation:

12-b

13-c

14-a

15-d

16-b

17-c

18-d]

Average velocity = v – = Displacement between two points Elapsed time between two points v – = Δ x Δ t = x 2 − x 1 t 2 − t 1 . It is important to note that the average velocity is a vector and can be negative, depending on positions x 1 and x 2 .

Step-by-step explanation:

wow,1st time u have asked important question

the perimeter of a right angled triangle is 12cm and the hypotunos is 5 cm find the value of other two sides​

Answers

Answer: The other two values are 3 and 4. This is because it is the only value which fits the formula a^2 + b^2 = c^2 (which will be 5^2 in our case). Also 3,4, and 5 is a well known right angle side length.

Would appreciate brainly <3

What is the slope for this table?

Answers

Answer:   Slope = -3

=======================================================

Explanation:

Pick any two rows you want. I'll pick the middle two rows where every value is positive. So I'll pick these two rows:

x = 0 and y = 4x = 1 and y = 1

They lead to the points (0,4) and (1,1). Apply the slope formula for these rows.

m = (y2-y1)/(x2-x1)

m = (1-4)/(1-0)

m = -3/1

m = -3

The slope is -3

Answer:

is not proportional

Step-by-step explanation:

10/-2= -5

7/-1=-7

4/0=0

1/1=1

-2/2=-1

-5/3= -1 2/3

Matthew ran 3 miles in 15 minutes at a constant speed. How long would it take him to run 12 miles at the same speed?​

Answers

Answer:

1 hour

Step-by-step explanation:

Matthew runs 1 mile every 5 minutes at a constant rate. You would have to multiply by 12 on both sides to get 12 miles and 5x12 would equal 60 minutes which is 1 hour.

Answer:

the Answer is 60 miles per hour

(8)
slope?
y-intercept?
(9)
slope?
y-intercept?​

Answers

8: slope is 1/2 and y intercept is 0

9: slope is 7/4 and y-intercept is 0
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