In a 400 meter race, 4 runners pass a baton as each of them runs 100 meters of the race. The table shows the split times for the first 3 runners of a relay team. Suppose the team has set a goal of running the race in 210 seconds. Solve the equation
(53,715 + 51.3 + 52.62) + n = 210 to find the number of seconds, n, within which the 4th runner must finish for the team to meet its goal.
Will send image​

Answers

Answer 1

Answer:

Since the equation is addition, reverse it into subtraction. 210-53.715-51.3-52.62= 52.365. You can add 53.715 by 51.3 by 52.62 by 52.365 to check your answer, and it will be 210 so the 4th runner ran 52.365 seconds.

i also got this question but i figured it out lol


Related Questions

Evan is building a fort for his pet Bearded Dragon. He uses a total of 300
pieces of tile to build the fort. The ratio of blue tiles to red tiles is 1:2. How
many blue tiles did Evan use to build the fort?*

Answers

Answer:

100

Step-by-step explanation:

blue = 1

red = 2

(blue) 100

(red) 200

(7c + 2) - (-3c + 4)
1 point
A. 4c + -2
B. 10c + -2
C. 4c + 6
D. 10c + 6

Answers

Answer:

10c - 2

Step-by-step explanation:

Answer:

B. 10c + - 2

Step-by-step explanation:

(7c + 2) - (-3c + 4)

(7c + 2) - (-3c - 4)

7c + 2 + 3c - 4

10c + 2 - 4

10c - 2

PLEASE ANSWER WITH SUBSTITUTION
9=3x-y
6x=3y+3

Answers

Answer:

x = 8; y = 15

Step-by-step explanation:

First choose any one equation and isolate a variable of your choice

I will use the first equation and isolate variable y

9 = 3x - y

Add y to both sides to make it positive

y + 9 = 3x - y + y

Subtract both sides by 9 to isolate the variable y

y + 9 - 9 = 3y - 9

y = 3x - 9

Now that we know what expression is equal to y, we can substitute this value of y into the second equation

6x = 3(3x - 9) + 3

Use distributive property

6x = 9x - 27 + 3

Combine like terms

6x = 9x - 24

Subtract both sides by 9x

6x - 9x = 9x - 9x - 24

-3x = -24

Divide both sides by -3 to isolate the variable x

-3x ÷ -3 = -24 ÷ -3

x = 8

Plug this value of x into either equation

I will use the first equation because it is shorter

9 = 3(8) - y

9 = 24 - y

Add y to both sides to make y positive

y + 9 = 24 - y + y

y + 9 = 24

Subtract 9 from both sides to isolate the variable y

y + 9 - 9 = 24 - 9

y = 15

please help, explain if possible

Answers

Answer:

Step-by-step explanation:

133

102

136

Danica is making a rectangular isle runner which has a length that is 8 inches more than four times the width. Create a function, A(w), for the area of the isle runner, where w represents the width in inches.

Answers

Answer:

Step-by-step explanation:

L=4W+8

A=LW, using L from above makes this

A(W)=(4W+8)W

A(W)=4W^2+8W

What is the volume of a hemisphere with a radius of 5.7 m, rounded to the nearest
tenth of a cubic meter?

Answers

Answer: 387.9 m

Step-by-step explanation:

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

πr

3

\text{radius} = 5.7

radius=5.7

meters

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (5.7)^3

3

4

π(5.7)

3

775.734624395

775.734624395

Use calculator

\text{Volume of Hemisphere HALF of Volume of Sphere:}

Volume of Hemisphere HALF of Volume of Sphere:

\frac{775.734624395}{2}

2

775.734624395

Divide volume by 2

387.867312198

387.867312198

\approx 387.9\text{ m}^3

≈387.9 m

3

The volume of a hemisphere with a radius of 5.7 m is 193.83534 m³.

What is Volume?

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units like m3, cm3, in3, etc.

Volume is sometimes referred to as capacity.

We have,

Radius = 5.7 m

So, the Volume of Hemisphere

= 2/3 πr³

= 2/3 x 3.14 x (5.7)³

= 2/3 x 3.14 x 185.193

= 193.83534 m³

Thus, the volume is 193.83534 m³.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ2

solve the expression 2xdivided by 6 (x=12)

Answers

Answer:

4

Step-by-step explanation:

first you plug in 12 for x so it would then be 2(12) divided by 6 and then follow the rules of math so you would multiply 12 and 2 which is 24 then 24 divided by 6 is 4

The answer is 4. Hope this helps

Help me plz :)

All linear graphs have what?
1. Equal
2.Relationships
3. No Relationships
4. Negative

Answers

Answer:

2.Relationships

Step-by-step explanation:

Linear means straight and a graph is a diagram which shows a connection or relation between two or more quantity. So, the linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

Four times the quotient of 3 and 4

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The quotient of 3 and 4 is 0.75.

3/4 = 0.75

--

0.75 x 4 = 3...

So the answer is 3.

Which of the following expressions has a constant of 7 and a coefficient of 3?
3 + 73
7-3
7+3
31 +7

Answers

I wanna say it’s 3+73 I’m not that smart so don’t trust me

Help me plis

Answer
A) 30 degrees
B) 60 degrees
C)120 degrees
D) 150 degrees

Answers

This would also be 30 degrees because all angles of parallelogram are same.

Hopefully you get This right

Answer: D) 150 degrees

Step-by-step explanation:

Opposite angles in a parallelogram are equal so, if angle D is 30 degrees, angle F is also 30 degrees. This adds up to 60 degrees.

A parallelogram is a quadrilateral so the total of its angles is 360 degrees.

Subtract 60 degrees from 360 = 300

Angles E and G will be 300 divided by 2 so E is 150 degrees.

What is the area? Please hurry.

Answers

Answer:

85 cm squared

contractor is building a fence around a square garden that has a side length of 3 inches in a scale drawing. The scale factor of the drawing is 1 1··2inches : 4 feet. If one link of fence measures 2 2··3feet, how many links are needed to build a fence around the entire garden?

Answers

Answer:

Step-by-step explanation:

23 beause the shade links of the garden

Answer:

Step-by-step explanation:

Each side of the square garden is 3 inches. Convert each side to sq ft. 1 1/2 x2 = 3 inches. So 4ft x 2 =8ft. 8ft. X 4 sides = 32ft perimeter that needs coverage. Each link equals 2.67 or 2 2/3. 12x2.67=32.04

12 links

8 3/5 = -4x + 5 3/5 ??
Solution??

Answers

Answer:

x=−3/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

435=−4x+285

Step 2: Flip the equation.

−4x+285=435

Step 3: Subtract 28/5 from both sides.

−4x+285−285=435−285

−4x=3

Step 4: Divide both sides by -4.

−4x−4=3−4

x=−34

Answer:

as a decimal: [tex]x=-0.75[/tex]

as a fraction: [tex]x=-\frac{3}{4}[/tex]

Step-by-step explanation:

note: i'm going to convert the fractions to decimals because i prefer working with decimals rather than fractions :)

[tex]8\frac{3}{5}[/tex] as a decimal is [tex]8.6[/tex][tex]5\frac{3}{5}[/tex] as a decimal is [tex]5.6[/tex]the equation is now [tex]8.6=-4x+5.6[/tex]

first, subtract 5.6 from both sides of the equation.

[tex]5.6[/tex] and [tex]-5.6[/tex] cancel each other out, leaving you with [tex]-4x+0[/tex] on the right side of the equation. it's not necessary to leave the [tex]0[/tex] in the equation, so just leave it as [tex]8.6=-4x[/tex]now subtract [tex]5.6[/tex] from the left side of the equation. [tex]8.6-5.6=3[/tex], therefore the equation is now [tex]3=-4x[/tex]

then divide both sides of the equation by -4.

you are left with [tex]x[/tex] on the right side of the equation and [tex]-\frac{3}{4}[/tex] or [tex]-0.75[/tex] on the left side of the equation, aka [tex]x=-0.75[/tex] or [tex]x=-\frac{3}{4}[/tex]

and that's it! the solution as a fraction is [tex]x=-\frac{3}{4}[/tex] and as a decimal is [tex]x=-0.75[/tex].

if you want to check the solution, just plug one of those values in for [tex]x[/tex] in the original equation. since i converted it all to decimals, i'll check my answer using [tex]-0.75[/tex] for [tex]x[/tex] in [tex]8.6=-4x+5.6[/tex].

first, plug in -0.75 for x.

[tex]8.6=-4x+5.6[/tex] ⇒ [tex]8.6=-4(-0.75)+5.6[/tex]

begin simplifying by multiplying -4 and -0.75.

[tex]-4(-0.75) = 3[/tex][tex]8.6=3+5.6[/tex]

add 3 and 5.6.

[tex]3+5.6=8.6[/tex][tex]8.6=8.6[/tex]

since both sides of the equation are equal, that means your [tex]x[/tex] value is correct and therefore a solution to the equation!! :)

i hope this helped! have a lovely rest of your day <3

Eliza and her mother have a combined age of 51 years. If her mother is 39 years old , how old is Eliza?

Answers

Answer: 12 years old

Step-by-step explanation:

Take 51 and 39 and subtract them.

51-39=12

Nurses at a hospital weigh five newborn babies and round the weights to the nearest whole number. Which of the weights round to 8 pounds?

Answers

The first one third one and last one

-7x + y = -19

-2x + 3y = -19

solve for x and y using elimination

Answers

Answer:

x = 2, y = -5

Step-by-step explanation:

[tex]-7x + y = - 19 --> -21x + 3y = -57[/tex]

[tex]\left \{ {{-21x+3y=-57} \atop {-2x+3y=-19}} \right.[/tex]

subtract

[tex]-19x = -38\\x= 2[/tex]

substitute

[tex]-2*2 + 3y = -19\\-4 + 3y = -19\\3y = -15\\y = -5[/tex]

A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 25 feet more than the length of the shortest side. Find the dimensions if the perimeter is 157 feet
What is the length of the shortest side?
What is the length of the second side?
What is the length of the third side?

Answers

Answer:

shortest:  33 feet  

second:  66 feet

third:  58 feet

Step-by-step explanation:

s = shortest side  (33)

2s = second side   (66)

25 + s = third side   (58)

157 = s + 2s + 25 + s

157 = 4s + 25

4s = 132

s = 33

plsssssssssssssssssssss help me i need to get these right so i can play roblo.x pls tell me how you got the answer

Answers

Answer:

675 mm²

Step-by-step explanation:

base = 15 x 15  = 225 mm²

4 sides = 4(15)(15)(0.5) = 450 mm²

450 + 225 = 675 mm²

The graph of f(x) = x2 was transformed to create a graph g(x) =f(x)+2.

Which statement about the graphs is true?


The vertex of the graph of g is 2 units above the vertex of the graph of f.

The vertex of the graph of g is 3 units to the right of the vertex of the graph of f.

The vertex of the graph of g is 2 units below the vertex of the graph of f.

The vertex of the graph of g is 2 units to the left of the vertex of the graph of f.

Answers

Answer:

The vertex of the graph of g is 2 units above the vertex of the graph of f.

Step-by-step explanation:

The vertex of the graph of g(x) is 2 units above the vertex of the graph of f(x). Then the correct option is A.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The graph of f(x) = x² was transformed to create a graph g(x) =f(x)+2.

Then the g(x) will be

g(x) = x² + 2

We know that the graph of the g(x) shifted to 2 units upward because we added 2 in the function.

The graph is shown.

The vertex of the graph of g(x) is 2 units above the vertex of the graph of f(x).

Thus, the correct option is A.

More about the function link is given below.

https://brainly.com/question/5245372

Kay is interested in getting chickens so she can have fresh eggs before she buys her chickens she wants to find the mean number of eggs each one will lay she begins by
randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month she finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs the resulting interval is (22.96, 26.64) which of the following correctly interprets the 90% confidence interval for the true mean number of eggs chickens from this poultry farm may within one month?

Answers

Answer: just subtract both of the numbers and you will find it

Step-by-step explanation: hope I helped ;)

Answer:

C. (22.96, 26.64)

Step-by-step explanation:

Find the scale factor

Answers

Answer:

the scale factor is penguin

jkjk the scale factor is 1/2

Step-by-step explanation:

to find the scale factor you take the coordinates of the image and divide it by the coordinates of the preimage

ex. A' coordinates are (3,1)

A coordinates are (6,2)

3/6=1/2

1/2=1/2

therefore the scale factor is 1/2

hope this helps :)

The equation y=9x represents the total cost y for x movie tickets.
A.In this situation,which quantity is dependent and which is
independent? Justify your answer.

B.Eight friends want to go see a movie.what would the total cost be,explain how u found the answer.

Answers

Answer:

A) y or total cost is the dependent variable and x which is the number of movie tickets is the independent variable. Y is called dependent because its value depends on the value of x.

B) So 8 is the number of tickets which is X. So x=8. The total cost y will be: 8x9= 72

5x-8(3y+13)-1 what's the expression

Answers

Did u try looking it up?

In ALMN, n = 910 inches, ZL=64º and ZM=31°. Find the length of 1, to the nearest
10th of an inch.

Answers

Answer:

Step-by-step explanation:

x/3−20=−15
what is the anwser

Answers

Answer:

x=15

Step-by-step explanation:

what is 2 1/8 in simplest form​

Answers

Answer:

Check out a website called calculator soup. They've got awesome fraction calculators for all sorts of things.

Step-by-step explanation:

1 1/4 probably because I think I’ve done something like this before

At Sundae King, 4 of the last 6 sundaes sold had nuts. Considering this data, how many of
the next 18 sundaes sold would you expect to have nuts?
I need help quick!

Answers

Answer:

12

Step-by-step explanation:

4/6=2/3

18(2/3)=12

Answer

12

Step-by-step explanation: 18 can divide into 6 3 times and that means 4 out of each 6 sets of sundaes have nuts so 4 times 3 is 12

twice the sum of nineteen and twenty is seventy-eight in a symbol ​

Answers

Uhm what’s your question

Bonus: Find the measure indicated. *
10 points
Use the diagram shown. BD is the perpendicular blsector of AC.
AD is 10 Inches long. BD is 6 inches long. Find the length of AC.
D
A
B
AC =
in.

Answers

Answer:

AC = 16 in.

Step-by-step explanation:

AD = CD = 10 in.

BD = 6 in.

AC = 2(AB) = ?

Apply pythagorean theorem to find AB

AB² = AD² - BD²

Substitute

AB² = 10² - 6²

AB² = 64

AB = √64

AB = 8

Therefore:

AC = 2(AB) = 2(8)

AC = 16 in.

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