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3 years ago

Which expressions can be used to find m

Mathematics

1 answer:

serious [3.7K]3 years ago

3 0

I wish I could have helped but I can’t really see the expression I wish I can help sorry

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Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It

xeze [42]

Answer:

150 steps

Step-by-step explanation:

GOING UP:

Steps taken per second = speed = 3steps/s

Let Time taken = y

Number of steps = steps taken per second × time taken

Number of steps = 3 × y - - - - (1)

COMING DOWN:

Steps taken per second = 2steps/s

Total time taken = y + 25

Number of steps = 2 × (y + 25)

Number of steps = 2y + 50 - - - - - (2)

Equating (1) and (2)

3y = 2y + 50

3y - 2y = 50

y = 50

Substitute y = 50 into either (1) or (2)

Put y= 50 into (1)

Number of steps = 3y

Number of steps = 3(50)

Number of steps = 150

4 0

3 years ago

Choose the correct ordered pair. <br><br> Help please

emmainna [20.7K]

We can solve this system of equations using substitution.

2y + 2x = 8

Solve for x.

2x = -2y + 8

Divide all terms by 2.

x = -y + 4

Take the equation x = -y + 4 and substitute it into the second system of equation.

2y - 4x = 2

2y - 4(-y + 4) = 2

Simplify by distributing.

2y + 4y - 16 = 2

Combine like terms.

6y - 16 = 2

6y = 18

y = 3

Now that you know the numerical value of y, substitute y with 3 in both equations to find x.

1) 2y + 2x = 8

2(3) + 2x = 8

6 + 2x = 8

2x = 2

x = 1

2) 2y - 4x = 2

2(3) - 4x = 2

6 - 4x = 2

-4x = -4

x = 1

The value of x is 1, and the value of y is 3.

Solution: B) (1, 3)

8 0

4 years ago

• capital one is advertising a 60-month, 5.99% apr motorcycle loan. if you need to borrow $8000 to purchase your dream harley da

Tamiku [17]

Given:
P = $8000, the principal
r = 5.99% = 0.0599, the interest rate
t = 60 months = 5 years, the duration
Assume n = 12, monthly compounding.

n*t = 12*5 = 60
r/n = 0.0599/12 = 0.004992

The total value of the loan is
A = P(1 + r/n)⁶⁰
= 8000(1.004992)⁶⁰
= 10785.434

Monthly payment = 10785.434/60 = $179.76

Answer: $179.46

5 0

3 years ago

Read 2 more answers

What is the area of a rectangle with an area of 3.1 mm and a width of 2.4 mm

Over [174]

---------------------------------------------
Formula
---------------------------------------------
Area = Length x Width

---------------------------------------------
Find Area
---------------------------------------------
Area = 3.1 x 2.4
Area = 7.44mm²

---------------------------------------------
Answer: 7.44mm²
---------------------------------------------

7 0

3 years ago

P, Q, and R are prime numbers such that 3P + 7Q + 15R = 102. What is Q?

77julia77 [94]

Q is 3

Step-by-step explanation:

The prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, ......

They have two factors only 1 and itself
All the them are odd numbers except 2 is an even number
1 is not a prime number because has only one factor

∵ P, Q and R are three prime numbers

∵ 3P + 7Q + 15R = 102

- Factorize 102 into prime numbers

∵ 102 ÷ 2 = 51

∵ 51 ÷ 3 = 17

∴ The prime factorization of 102 is 2 × 3 × 17

∵ 2 , 3 , 17 are prime numbers

- Put them in the equation above to find which one is P and

which is Q and which is R

∵ R has the greatest coefficient, then put R = the smallest prime 2

∵ P has the smallest coefficient, then put P = the greatest prime 17

∴ Q = The last prime 3

- Let us check the value of the left hand side

∵ Left hand side = 3(17) + 7(3) + 15(2) = 51 + 21 + 30 = 102

∵ Right hand side = 102

∴ The prime numbers are P = 17 , Q = 3 , R = 2

Q is 3

Learn more:

You can learn more about the prime numbers in brainly.com/question/4550858

#LearnwithBrainly

8 0

3 years ago