Mrs.Clarke is the PE teacher is pairing of students to race against each other. Tyler can run 7 meters per second and bridget can run 8 meters per second Mrs.Clarke decides to give tyler a head start of 4 meters since he runs more slowly. Once the students start running bridget will quickly catch up to tyler how long will that take? How far will bridget have to run?

Answers

Answer 1

Answer:

It will take 4 seconds. She will have to run 32 meters

Step-by-step explanation:

The formula to calculate the distance in terms of speed and time is:

distance = speed x time

Let x represent the distance Bridget run. Since Tylor starts 4 meters ahead, the distance for the Tylor is x-4. The time is same for both of them, let us represent it with t.

The distance by Bridget: x = 8t → t = x/8

The distance by Tylor: x - 4 = 7t → t = (x-4)/7

→ x/8 = (x-4)/7

→ 7x = 8(x-4)

→ 7x = 8x - 32

→ x = 32

Since x = 32 and t = x/8

→ t = 32/8 = 4


Related Questions

Can somebody help meeee witthhhh thisss plssss

Answers

Answer:

7.) (m+4)(m-16)

8.) Area= 3x^3-5x^2+7x+3

Step-by-step explanation:

7.) m^2-12m-64

=(m^2+4m)+(-16m-64)

=m(m+4)-16(m+4)

=(m+4)(m-16)

8.) Area = L(W)

x^2-2x+3(3x+1)

=x^2(3x)+x^2(1)+(-2x)(3x)+(-2x)(1)+3(3x)+3(1)

=3x^3+x^2-6x^2-2x+9x+3

=3x^3-5x^2-2x+9x+3

=3x^3-5x^2+7x+3

HELP
PLEASE.
Simplify the expression.
x^2+2x-24/x^2-x-42

Answers

Answer:

[tex] \frac{x - 4}{x - 7} [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{2} + 2x - 24 }{ {x}^{2} - x - 42 } \\ \frac{(x + 6) (x - 4)}{(x - 7)(x + 6)} \:the \: term \: will \: be \: simplified (x + 6) \\ and \: we \: will \: be \: left \: with \: \frac{x - 4}{x - 7} [/tex]

Answer:

Step-by-step explanation:

x² + 2x - 24 = x² + 6x  - 4x - 4 * 6

                   = x(x + 6) - 4(x + 6)

                   = (x + 6) (x - 4)

x² - x - 42 = x² -7x + 6x - 6 * 7

                = x(x - 7) + 6(x - 7)

               =  (x - 7) (x + 6)

[tex]\frac{x^{2}+2x-24}{x^{2}-x-42}=\frac{(x + 6)*(x-4)}{(x+6)(x-7)}\\\\\\=\frac{x-4}{x-7}[/tex]

anyone know this please ;)

Answers

Answer:

The planet to have the biggest mass is Jupiter

the radius of mercury is 2.44 × 10^5

the difference in mass between Jupiter and Saturn is 2.2 × 10⁴

I'm just so lost...
Help!

Answers

Answer:

Step-by-step explanation:

The answer is b Because you have to do the formula and then the answer will become the second

Evaluate and simplify 2ab-1/3e-3d

Answers

Answer: 2ab - e/3 - 3d

Step-by-step explanation:

2ab - 1/3e - 3d

= 2ab - 1e/3 - 3d

= 2ab - e/3 - 3d

The equation x2 - 7x=0 when solved is:

Answers

Answer:

x =0   x=7

Step-by-step explanation:

x^2 - 7x=0

Factor out an x

x(x-7) =0

Using the zero product property

x =0   x-7 =0

x =0   x=7

Which of the following is the correct factored form of the given equation?
4x2 - 11x + 6 = 0
(2x + 3)(2x + 2) = 0
(2x - 3)(2x - 2) = 0
(4x - 3)(x - 2) = 0

Answers

Answer:

[tex](4x - 3)(x - 2) = 0[/tex]

Last answer is correct

Step-by-step explanation:

[tex]4 {x}^{2} - 11x + 6 = 0 \\ 4 {x}^{2} - 8x - 3x + 6 = 0 \\ 4x(x - 2) - 3(x - 2) = 0 \\ (4x - 3)(x - 2) = 0[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Tomas works as an underwater photographer. He starts at a depth of 20 feet, ascends 9 feet, descends 12 feet, and then descends 15 feet more. What is the diver's final depth?

Answers

Answer:

38 feet

Step-by-step explanation:

What is the product?
(-35 +21)(45-1)

Answers

Answer:

-616

Step-by-step explanation:

First subtract 35 with 21 since 35 is a negative. then subtract 45 with 1

for the first parenthesis would be -14. the second parenthesis would be 44.

then multiply both of the answers together to get -616

Answer:-220

Step-by-step explanation:

if g(x)= -3 +1, Find x if g(x)= 16

Answers

Answer:

X= -5

Step-by-step explanation:

Replace the g(x) with 16.

16= -3x +1

Move -3x on other side.

3x+16=1

Subtract one from both sides.

3x= -15

Divide both sides by 3 to get x by itself.

x= -5

15x - 5y = 30 in slope intercept form

Answers

Answer:

y = 3x - 6

Step-by-step explanation:

Slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

15x - 5y = 30

Subtract 15x from each side

15x-15x - 5y =-15x+ 30

-5y = -15x+30

Divide each side by -5

-5y/-5 = -15x/-5 +30/-5

y = 3x - 6

Answer:

[tex]y = 3x - 6[/tex]

Step-by-step explanation:

[tex]15x - 5y = 30 \\ - 5y = 30 - 15x \\ \frac{ - 5y}{ - 5} = \frac{30 - 15x}{ - 5} \\ y = - 6 + 3x \\ y = 3x - 6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Please help! Correct answer only!

There is a raffle for a $380 prize. Out of 100 tickets, one ticket will win the prize, and the other tickets will win nothing. If you have a ticket, what is the expected payoff?

Answers

Answer:

$3.80

Step-by-step explanation:

380/100= an expected payoff of 3.8 dollars. Hope this helps!

Evaluate [(40 + 5) − 3^2] ÷ 9 ⋅ 2. (1 point)

Answers

Answer:

[(40 + 5) − 32] ÷ 9 ⋅ 2

[(45) − 32] ÷ 9 ⋅ 2

[(13)] ÷ 9 ⋅ 2

[(13)] ÷ 9 ⋅ 2

  _

1.4... ⋅ 2

_

2.8... ←Answer

Step-by-step explanation:

PICTURE ATTACHMENT IS BELOW

Answers

Answer:

10% = 1/10

20% = 1/5

100% = 3/3

75% = 3/4

Step-by-step explanation:

Answer:

Awnser is down below

Step-by-step explanation:

75= 3/4

20= 1/5

10 = 1/10

100= 3/3

Hope this helps :)


If BE is a diameter of the circle, find
MAB
A. 400
B 50°
C. 75
D 80

Answers

Answer:

B 50˚

Step-by-step explanation:

What you want to do is to find all other measures and subtract them from 360, or find all measures to the left of BE, and subtract from 180.

You can find mCE easily: since the measure of an arc is twice the measure of its corresponding angle (as long as that angle is not a central angle), mCE = 2(25), or 50˚.

mDE equals 100˚. This is because it and arc BD are the only arcs right of BE, the diameter, meaning they, together, must equal half the circle. Since half a circle = 180˚,

180˚=80˚+x

x=180-80

x=100

Now, you can solve:

Method 1:

360˚=80˚+80˚+50˚+100˚+x

360-80-80-50-100=x

x=50˚

Method 2:

180˚=80˚+50˚+x

x=180-80-50

x=50˚

This corresponds to answer choice B.

Answer:

B.

Step-by-step explanation:

Please help ! I don’t understand :(

Answers

Answer:

A. The number quadrupled each week

Step-by-step explanation:

f(x)= 3(4)^x

As per the function, each week number increases 4 times

So the answer choice is A

Are the following figures similar? (1 point)

Yes; the corresponding angles are congruent
No; the corresponding angles are not congruent
yes; the corresponding sides are proportional
no; the corresponding sides are not proportional ​

Answers

Answer:

yes the corresponding angles are congruent...

it can be wrong

Yes, all the angles are right angles, so they are congruent. And the corresponding sides are proportional because they have a ratio of 5:3.

A teacher has a 2-gallon (32-cup) container of juice. She gives each student a 1/2 cup of juice. Which equation represents the amount of juice that remains, y, after x students are served? a. y = 32x - 1/2 b. y = 1/2x - 32 c. y = -1/2 x + 32 d. y = -32 x + 1/2 WILL GIVE BRAINLIEST FOR GOOD EXPLANATION

Answers

Answer:

total cup = 32

1 student = 1/2 cup

find remaining cup = y

*we don't know how many students are there, so we just let it be x .

remaining cup = total cup - cup drank by students

y = 32 - 1/2x

y = -1/2x + 32 ( option c )

why 1/2x ? because we don't know how many students drank the juice, so we just let it be x .

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

-2 is the slope

Step-by-step explanation:

Slope (gradient)  = rise/run or (y1 - y2/x1 - x2)

We will take the points so that we have a whole number:

Therefore the two points are:

(10,0) and (30, -40)

Now the gradient;

(y1 - y2/x1 - x2)

0 - -(40) / 10 - 30

40/-20

-2/1

-2

Mark my answers as brainliest if helped thanks!

Gabrielle went on a 72 mile trip to a soccer game. On the way back, due to road construction she had to drive 18 miles per hour slower. This made the trip take 9 hours longer. How fast did she drive to the soccer game?

Answers

Answer:

Gabrielle drove to the soccer game at the speed of 18 miles/hour

Step-by-step explanation:

Given: Distance covered = 72 miles

On the way back, she had to drive 18 miles per hour slower due to road construction which made the trip take 9 hours longer.

To find: speed

Solution:

Let speed be x miles/hour

Time taken = distance covered/time taken = [tex]\frac{72}{x}[/tex]  hours

On the way back, she had to drive 18 miles per hour slower due to road construction

So, new speed = ( x - 18 ) miles/hour

Time taken as per new speed = [tex]\frac{72}{x-18}[/tex]  hours

According to question,

[tex]\frac{72}{x-18}-\frac{72}{x}=9\\\frac{1}{x-18}-\frac{1}{x}=\frac{9}{72}\\\frac{x-x+18}{x(x-18)}=\frac{1}{8}\\x^2-18x-144=0\\x^2-24x+6x-144=0\\x(x-18)+6(x-18)=0\\(x-18)(x+6)=0\\x=18\,,\,-6[/tex]

Being a speed, x can not be negative. So, [tex]x=-6[/tex] is rejected

So,

Gabrielle drove to the soccer game at the speed of 18 miles/hour

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x - 2
y = 2x + 2
y = x + 2
y = x-2

Answers

Answer:

A line in form of y = ax + b passes (0, 2)

=> 2 = 0x + b => b = 2

This line also passes (4, 6)

=> 6 = 4x + 2 => x = 1

=> Equation of this line: y = x + 2

=> Option C is correct

Hope this helps!

:)

Answer:

A line in form of y = ax + b passes (0, 2)

=> 2 = 0x + b => b = 2

This line also passes (4, 6)

=> 6 = 4x + 2 => x = 1

=> Equation of this line: y = x + 2

=> Option C is correct

Hope this helps!

:)

Step-by-step explanation:

what is the meaning of the word 'coplanar'

Answers

Answer:

It means in the same plane

slope=m=

please need help, if someone could explain ;)

Answers

Answer:

5/3

Step-by-step explanation:

The line goes through the points (0,0) and (3,5)

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

   = (5-0)/(3-0)

   = 5/3

Which of these triangles appears not to be congruent to any others shown
here? Check all that apply.
A
B
C
D
E
F A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E Triangle E
F. Triangle F

Answers

Answer:

Options (B) and (D)

Step-by-step explanation:

If two triangles have the same size and shape they are said to be congruent triangles.

Triangles given in the attachment,

Triangles A and E appear to be congruent.

And triangles C and F appear to be congruent.

[Since corresponding sides of these triangles don't appear to be the same in measure]

Remaining triangles B and D do not appear to be congruent.

Therefore, Options (B) and (D) will be the answer.

Please answer no rush first CORRECT answer gets Brainiest.

Answers

the answer would be 2
because -8(17-12) would equal to -40 and -2(8-(-2)) would -20
and -20 over -40 equals to 2 since negative / negative would equal a positive number

The answer is 2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

(x+9)(x+3)

x*x = x^2

x*3 = 3x

9*x = 9x

9*3 = 27

Answer = x^2 + 12x + 27

Hope this helps

Answer:

x^2+12x+27

Step-by-step explanation:

have a nice day:)

Use the table of reciprocals to find the reciprocal of these numbers:
0.000 080 25
0.9596

Answers

Answer:

1000000/8025 = 40000/321 (simplified)

1000/9596

Step-by-step explanation:

Hi there,

There is an alternative way to do this....

First it is important to understand what a reciprocal is. The reciprocal of any number x is the number 1/x. The reciprocal of a number is also its multiplicative inverse, which means that the number times its reciprocal must equal 1. For a number such as 2, the reciprocal would be 1/2. For a fraction such as 2/5, the reciprocal would be 5/2.

Finding the reciprocal of a decimal can be done in a number of ways.

Change the decimal to a fraction first.

Ex. 0.25 is 25/100 and is equivalent to the fraction 1/4. Therefore Its reciprocal would be 4/1 or 4.

Keep the decimal and form the fraction 1/?? which can then be or converted to a decimal.

Ex. 0.75 The reciprocal is 1/0.75. Using a calculator, the decimal form can be found by performing the operation: 1 divided by 0.75. The decimal reciprocal in this case is a repeating decimal, 1.33333....

After finding a reciprocal of a number, perform a quick check by multiplying your original number and the reciprocal to determine that the product is 1:

(0.25)(4) = 1.00

(0.75)(1.33....) = 1 but it is easier to see for sure with repeating decimals if you use the fractions instead of the decimals.

(3/4)(4/3) = 12/12 = 1

Hope this helps, Mark as brainliest if liked it! thanks!

Raj’s farmhouse is 1245km away from hiswarehouse. Daily he drivesa certain distance and then his friend Rohantakes aturn to drive his carfor 412km distance to reach thewarehouse.(a)What distance does Raj drivedaily?

Answers

Answer:

Step-by-step explanation:

Subtract the distance driven by Rohan from the total distance

Distance driven by Raj = 1245 - 412

                                     = 833 km

how many squares would have to be shaded so that 1/6 of the shape is shaded?

Answers

Answer:

3 squares

Step-by-step explanation:

The question given is not complete, the diagram of the shape is supposed to be attached. But I would provide you with a diagram and show you how to solve this type of problem.

The diagram of the shape is attached below. Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).

Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares

Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded

What is the probability that you’re on mars right now?

Answers

The probability of you being on Mars right now is very slim, because no one that we know of currently lives on Mars.

0%

I’m laying in bed, I guarantee this is not Mars.
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