The head track coach for PCTVS has a big track meet coming up. He knows that his biggest rival is Clifton and the entire track meet will come down to one event, the 100 meter relay race. The relay race is comprised of 4 runners from each team who run 100 meters each. The track coach has been working on his projections for the race and knows it will come down to the last leg of the race. He is having difficulty with his algebra skills, so he has asked the Honors classes at PCTI to help him make a projection for the race. He knows that on the last leg of the race, his runner will be leading the race. PCTVS's runner runs at a speed of 10.1 meters per second. Clifton's runner runs at a rate of 10.9 meters per second and will start the last leg of the race 0.8 seconds behind the runner from PCTVS. Will PCTVS win the relay race?

Answer:

168 cubic in.

Step-by-step explanation:

Volume of a rectangular pyramid: (l × w × h) / 3 or × 1/3.

Volume: (7 × 8 × 9) / 3

(504) /3

V = 168 cubic in.

Answer & Step-by-step explanation:

Factors of a number are the number(s) whose product ie multiplication gives the number. Prime factorisation is finding 'prime' factors of numbers, ie the numbers which dont have a factor further - other than themselves & 1.

Example : 6 = 2 x 3, so 2 & 3 are factors of 6. Also, 2 & 3 are prime factors, as they dont have further multiplication factors, other than themselves (2 & 3 respectively) & 1. So this can be an illustrative case of prime factorisation of 6.

Answer:

Answer:

Twenty-one is a factor of the number because both 3 and 7 are prime factors.

Step-by-step explanation:

Given number is,

3^2\times 5^3\times 73

2

×5

3

×7

=3\times 3\times 5\times 5\times 5\times 7=3×3×5×5×5×7

Where, 3, 5 and 7 are prime numbers ( only divisible by 1 and itself ),

⇒ Both 3 and 7 are prime factors of the given number,

⇒ 21 is a factor of the given number.

Thus, first option is correct.

⇒ Second option is incorrect.

Now, 5 is factor of the given number but 2 is not,

⇒ 10 is not a factor of the given number,

⇒ 90 is not a factor of the given number,

⇒ Third option is incorrect.

Suppose 90 is divisible by 7,

⇒ 90 = 7a

Where a is any whole number,

⇒ 7=\frac{90}{a}7=

a

90

3^2\times 5^3\times 7=3^2\times 5^3\times \frac{90}{a}3

2

×5

3

×7=3

2

×5

3

×

a

90

Since, 90 could be a factor of this number, if a = 3 or 5 or their multiple,

For the other values of a, 90 can not be the factor,

Hence, there is no effect of divisibility of 90 by 7 on having 90 as a factor of the given number,

⇒ Fourth option is incorrect.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

It's counting up by 2 so it would go -10,-8,-6,-4,-2,0,2,4,6,8... and so on

Hope this helped :)

Answer:

10x-15+7x-21

Step-by-step explanation:

Take parenthesis out

5x-5+5x+10=7x-21

10x-15+7x-21

Answer:

97.416Step-by-step explanation:

Answer:III/ 0.98

Step-by-step explanation: if you multiply a number by a decimal (not like 1.55, since that would increase the value since there is a whole) it will decrease.

Answer:

0.98

Step-by-step explanation:

because if you do 6 x 0.98 you get 5.88

Answer:

A. The 14 in the expression could be changed to 28

Because 40% of 70 is 28

Answer:

After 7 weeks from now you will have ​$185 in your bank​ account.

Step-by-step explanation:

We are given that you have ​$70 in your bank account. Each week you plan to deposit ​$7 from your allowance and ​$10 from your paycheck. The equation b = 70 + ​(10 + 7​)w gives the amount b in your account after w weeks.

The equation is given by;

b = 70 + (10 + 7)w

Now, in the question, it is given that you have ​$185 in your bank​ account, that means;

$185 = $70 + $17w

Finding the value of w(weeks);

$17w = $185 - $70

$17w = $115

w = [tex]\frac{\$115}{\$17}[/tex]

w = 6.76 weeks or 7 weeks (approx).

Hence, after 7 weeks from now you will have ​$185 in your bank​ account.

Answer:

a exactly one

Step-by-step explanation:

there's no picture to go based on

Answer:

no pic

Step-by-step explanation:

Answer: I think C

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

ITS NOT LETTING ME TYPE thje naswer

Answer:

q↔r

r↔q

Step-by-step explanation:

just did the test

Answer: q<-> q

r <->p

Step-by-step explanation:

Answer:

3(x+4)=36 is the same as 3x+12=36

If 3x+12=36, that means x=8

36-12= 24

24/3=8

Step-by-step explanation:

Answer:

z=gr+s/r

Step-by-step explanation:

Hope this helps :)

Answer:

x = 3

Step-by-step explanation:

Step 1: Write equation

3x - 10 + 4x = -2(x - 4) + 9

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

3(3) - 10 + 4(3) = -2(3 - 4) + 9

9 - 10 + 12 = -2(-1) + 9

-1 + 12 = 2 + 9

11 = 11

Answer:

19680 is the answer

pls mark as brainliest pls

Answer:

I think its 5 games.

Step-by-step explanation:

:)

Answer:

9 - X x 2

Step-by-step explanation:

nine subtracted from twice a number (X) which is written as 9 - X x 2 or 9 - 2x

Answer:

y=0+-7 (I think)

Step-by-step explanation:

find slope: -7-(-7)/-5-(-3):

y=0+b: -7=b

check: -7=0*-3+-7

-7=-7 which is true.

Answer:

-21

Step-by-step explanation:

7 x 2=14

14-48+13

14-48=-34

-34+13=-21

What do you want to be solved?

Answer:

y=0

Step-by-step explanation:

6y=0

Answer:

the answer to your question is b

The value of the given expression is i. Therefore, the correct answer is option B.

The given expression is i⁸⁵.

An imaginary number is a real number multiplied by the imaginary unit i, which is defined by its property i² = −1.

Here, i⁸⁵ can be written as i⁸⁵=i⁸⁴×i

= (i²)⁴⁸×i

= (-1)⁴⁸×i

= 1×i

= i

Therefore, the correct answer is option B.

Learn more about the imaginary number here:

https://brainly.com/question/12821439.

#SPJ6

Answer:

It will take approximately 13 years for the calculator to be $2

Step-by-step explanation:

We need to set up a depreciation equation for the cost of the calculator per year.

Let the initial cost be I, the present value be P and the depreciation percentage be r%

Thus;

P = I( 1 - r%)^t

r% is same as r/100

For the two years initially;

75 =I( 1 - r/100)^2•••••••••(i)

For the 8 years, we have the equation as

10 = I(1 - r/100)^8 ••••••••(ii)

Now, simply divide the second equation by the first directly; we have;

10/75 = (1 - r/100)^8 / (1 - r/100)^2

2/15 = (1-r/100)^6

Take the log of both sides

ln(2/15) = ln(1-r/100)^6

ln(2/15) = 6 ln (1-r/100)

-2.015 = 6 ln (1 - r/100)

divide both sides by 6

-0.34 = ln (1-r/100)

1-r/100 = e^(-0.34)

1-r/100 = 0.715

Multiply through by 100

100 - r = 71.5

r = 100-71.5

r = 28.5%

Let’s now calculate the initial value;

P = I( 1 - r/100)^t

Let’s use the two years time frame

75 = I( 1 - 28.5/100)^2

75 = I(0.715)^2

I = 75/(0.715)^2

I = 146.71 which is approximately $147

Now, the time it will take for the calculator to be $2

P = I(1-r/100)^t

2 = 147 ( 1 - r/100)^t

divide both sides by 147

0.014 = (0.715)^t

ln 0.014 = ln (0.715)^t

t ln 0.715 = ln 0.014

t = ln 0.014/ln 0.715

t = 12.72

t is approximately 13 years

Answer:

64

Step-by-step explanation:

diy

Answer:

-120

Step-by-step explanation:

Parentheses first: 2-10= (-8)

Then Add: 8+7=15

Then Multiply: 15 x (-8) = (-120)

Answer:

No solution for x!!!!!!!!!

Answer:

There is no solution

Step-by-step explanation:

Answer:

780 in

Step-by-step explanation:

65*12=780

Answer:

5 ft 5in (5.41667 ft)

Step-by-step explanation:

divide by 12 using long division and use remainder for inches. Or divide 65 by 12 and use decimal value. Hope this makes sense.

Answer:

Step-by-step explanation:

A

Answer:

A She should add 3 negative x-tiles first because that is the only way to isolate the variable. Is the correct answer

Step-by-step explanation:

Hope this helps! :)