Lin and Diego want to run a race in which they will both finsh when the timer reads exactly 30 seconds. Who should get a head start, and how long should the head start be?

Answers

Answer 1

Answer:

Lin needs a 45-meter head start. Lin will travel 120 meters in 30 seconds, and Diego will travel 165 meters in 30 seconds.

Step-by-step explanation:


Related Questions

PLEASE SHOW YOUR WORK!!!





Solve for y: 3^3 + 14 y- (25y - 13) = y + 7y - 9y

Answers

[tex]⟹[/tex]

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3^3+14*y-(25*y-13)-(y+7*y-9*y)=0

Equation at the end of step 1

((3³ + 14y) - (25y - 13)) - -y = 0

Pull out like factors :

40 - 10y = -10 • (y - 4)

Equation at the end of step3:

-10 • (y - 4) = 0

STEP4:

Equations which are never true:

Solve : -10 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

Solve : y-4 = 0

Add 4 to both sides of the equation :

y = 4

[tex]y = 4[/tex]

Barack is saving up his money to buy a television that costs $395.50. Right now he has $85.00 and can save $29.00 each week. How many weeks will it take for Barack to have enough money to buy the television?

Answers

Answer:

11 weeks

Step-by-step explanation:

Its easy

draw a diagram for this fraction

7/2​

Answers

Answer:

You can't draw a diagram for a improper

fraction

Please help me
The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y. Write any fractions in the simplest form.

When y=45 , x=40 .

Answers

y=kx

20=k(12)

k= 20/12 = 5/3

y= (5/3)x

y = 5x/3  or

3y=5x


5) Which has more people? A car that is
full or a car that is full?

Answers

Answer:

a car that is full

Step-by-step explanation:

Answer:

mm definitely a car that is full

Step-by-step explanation:

Mr. Morton sold
bird houses to stores he started the week with 60 he sold 10 to one store and divided the rest between five other stores how many bird houses he’s so to each of the other five stores

Answers

Answer:

10

Step-by-step explanation:

If Noah has 527,300,000 and Margho has 106,570,000. How much do they have in all?









Can someone help me pls?

Answers

Answer:

633,870,000

Step-by-step explanation:

Add it together either on a calculator of a sheet of paper.

Describe an example in which two variables are strongly correlated, but changes in one do not cause changes in the other.

Answers

Just because 2 things are related doesn't mean they will both be changed when one thing happens. For example steak and candy, just because they are both food doesn't mean they taste the same or interact with each other.

Kenrick mows lawns on Sundays. Last
week it took him 5 hours to finish.
This week it took only 5 hours. How
many times longer did it take last
week than this week?

Answers

Answer:

0 hours.

Step-by-step explanation:

He finished at the same time than Kenrick finished last week. So, he/she did not delay in mowing the lawn. Hoped this helped.

How many equal parts are there in this image

Answers

Answer:

6

It's kind of blury, so I can't really see it.

Answer:

4

Step-by-step explanation:

Calculations with Percent - Item 35698
Question 7
Asha bought 60 fruit baskets.
25% of the fruit baskets have 12 pieces of fruit in each basket.
The remaining 75% of the baskets have 15 pieces of fruits in each basket.
Complete the model.
25%
75%
Number of baskets with 12 piece of
fruit:
Number of baskets with 15 pieces of fruit:
60 fruit baskets

Answers

The number of baskets with 12 piece of  fruit is 15.

The number of baskets with 15 pieces of fruit is 45.

Percentage is the fraction out of a number expressed as a number out of hundred. The sign used to represent percentages is %.  

In order to determine the number of baskets that have 12 pieces of fruits and 15  pieces of fruits, multiply the given percentages by the total number of fruit baskets.

Number of baskets with 12 piece of  fruit: 25% x 60 = 0.25 x 60 = 15

Number of baskets with 15 pieces of fruit: 75% x 60 = 0.75 x 60 = 45

To learn more about percentages, please check: https://brainly.com/question/92258

An office manager has 10,000$ to spend on new equipment

Answers

300 divided by 72 equals (300 divided by 7) + (300 divided by 2) = 2,100 + 600 = 2,700

Need help with this quick plz??

Answers

Answer:10 or someones else’s answer this not my best

Step-by-step explanation:

Are the following polynomial sets open or closed? 6. (x ^ 2 + x - 4) - (x ^ 2 + x + 8) 7 (2 - x)(1 + 3x) 8. (5b - 3c)(7b - 3c)

Answers

Answer:

=5880b2x4−6048bcx4+1512c2x4−3920b2x3+4032bcx3−1008c2x3+33320b2x2−34272bcx2+8568c2x2−82320b2x+84672bcx−21168c2x−31360b2+32256bc−8064c2+6x2+6x−24

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

for the first one it 2

3

12

b. A square has an area of 9 cm2 what is its side length?

Answers

Answer:

81 cm

Step-by-step explanation:

A square is equal an all sides so 9cm to the second power is 81 cm

Catering the concord theater serves punch during intermission. If each of 200 people think 1 c of punch, how many gallons of punch should be prepared?

please help and show me the answer thank you

Answers

Answer:

they will need 2 gallons of punch

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 45% salt and Solution B is
95% salt. She wants to obtain 60 ounces of a mixture that is 85% salt. How many ounces of each solution should she use?

Answers

we know A is 45% salt, so the amount of salt in A is (45/100)*A or 0.45A.

likewise we know that B is 95% salt, so the salt amount in it is (95/100)*B or 0.95B.

[tex]\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{oz of }}{amount}\\ \cline{2-4}&\\ A&x&0.45&0.45x\\ B&y&0.95&0.95y\\ \cline{2-4}&\\ mixture&60&0.85&51 \end{array}~\hfill \begin{cases} x+y=60\\ 0.45x+0.95y=51\\[-0.5em] \hrulefill\\ y = 60 -x \end{cases}[/tex]

[tex]\stackrel{\textit{substituting on the 2nd equation}}{0.45x+0.95(60-x) = 51}\implies 0.45x+57-0.95x=51 \\\\\\ 0.45x-0.95x=-6\implies -0.5x=-6\implies x = \cfrac{-6}{-0.5} \\\\\\ \boxed{x = 12}~\hfill \stackrel{\textit{we know that}}{y = 60 -x}\implies \boxed{y=48}[/tex]

A recipe for pasta dough says, “Use 150 grams of flour per large egg.”
How much flour is needed if 6 large eggs are used?
How many eggs are needed if 450 grams of flour are used?

Answers

Answer:

1. 900 grams

2. 3 eggs

Step-by-step explanation:

1. 150 x 6 = 900

2. 450 / 150 = 3

Answer:

900 grams of flour are needed if six eggs are used. 3 eggs are needed if 450 grams of flour are used.

Step-by-step explanation:

First, multiply the number of large eggs by grams per large egg: 150×6=900

Next, divide the number of grams of flour by grams per large egg: 450/150=3


A department store marked down all of its summer clothing 23%. The following week the remaining items were marked down again
15% off the sale price. When Jorge bought two tank tops on sale, he presented a coupon that gave him an additional 20% off. What
percent of the original price did Jorge save?

Answers

Answer:

58%

Step-by-step explanation:

I NEED HELP PLSSSSSS

Answers

Answer:

130 is the answer I Think

the answer is 103 or 130 degrees

...........................

Answers

Answer:

i think its c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because -100,-57/8,6

the absolute value of -6 is 6 and

-8 7/8 is 8×(-8)+7=-64+7/8=-57/8 because when negative plus positive we subtract and we take the sign of the larger number

Mike burns 392 calories when he walks 4 miles how many calories does he burn when he walks 1 mile?

Answers

Answer:

Step-by-step explanation:

If mike burns 392 calories when he walks 4 miles then we just need to divide

/ =

Mike burns 98 calories when he walks 1 mile.

What is unitary method?

"It is a method of finding the value of a single unit and based on that value, we can find the required value."

For given example,

Mike burns 392 calories when he walks 4 miles.

This means, 4 miles = 392 calories

By using unitary method we find the number of calories he burns when he walks 1 mile.

4 miles = 392 calories

So, 1 mile = 392/4 calories

1 mile = 98 calories

Therefore, Mike burns 98 calories when he walks 1 mile.

Learn more about the unitary method here:

https://brainly.com/question/22056199

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SOmeone help me i'm stuck on thia question

Answers

Answer:

17

Step-by-step explanation:

According to this diagram, what is sin 23°?
67°
13
5
Сл
23°
90°
12
O A.
13
5
12
O B.
B. 13
12
13
O c.
c.13
O D.
D.
5
13
O E.
13
12
5
OF.

Answers

Using relations in a right triangle, it is found that the sine of 23 degrees is given by:

D. 5/13.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Looking at the graph, the side opposite to the angle of 23º is of 5, while the hypotenuse is of 13, hence the sine is given by:

sin(23º) = 5/13.

Which means that option D is correct.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

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Find the equation for the linear function based upon this table. y = mx + b


y -6 -2 2 6 10
x -4 -2 0 2 4

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

for each rise of 4 in y

there is a run of 2 in x

m = rise/run

m = 4/2

m = 2

when x = 0, y = 2

therefor the y-intercept, b = 2

y = mx + b

y = 2x + 2

Please Help! it's simple!

Answers

Answer:

28.27

circumference of finding a circle divided by two.

[tex](2\pi \:r {}^{2} ) \div 2[/tex]

(2×3.14×9)/2

56.55/2

28.27

Which of the following is the graph of f(x) = |x|?

Graph 1
Graph 2
Graph 3
Graph 4

Answers

Answer:

i think its the second graph

Step-by-step explanation:

Find the domain of the function

Answers

Answer:

Here you go :)

Step-by-step explanation:

The sum of two numbers is eight one number is four less than the other find the numbers

Answers

Step-by-step explanation:

the numbers : x, y

x + y = 8

x = y - 4

we use the second equation in the first :

y - 4 + y = 8

2y - 4 = 8

2y = 12

y = 6

x = y - 4 = 6 - 4 = 2

Answer: The answer is 6 and 2

Step-by-step explanation:

X is first number, Y is second

x + x - 4 = 8

2x = 12

x = 6

Y = x - 4

Y = 6 - 4

Y = 2

x = 6

Y = 2

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