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3 years ago

In the circle, m SRP = 5x+6 and m PQS = 9x+2. What is the value of x?

Mathematics

1 answer:

timurjin [86]3 years ago

5 0

5x+6 + 9x+2=360
5x+9x= 360-6-2
14x÷14=352÷14
x=25.14

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An item has a listed price of $75. If the sales tax rate is 3%, how much is the sales tax (in dollars)?

Daniel [21]

Answer:

Net Price: $ 75.00

+ Sales Tax (3%): $ 2.25

Total Price: $ 77.25

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3 years ago

casey is six time as old as Ralph, In two years, she will be four time as old as Ralph. How old is each of them now?

Keith_Richards [23]

Casey is 18 years old and Ralph is 3 years old.

Step-by-step explanation:

Let,

Age of Casey = x

Age of Ralph = y

According to given statement;

x = 6y Eqn 1

In two years

x+2=4(y+2)

x+2=4y+8

x = 4y+8-2

x = 4y+6 Eqn 2

Putting value of x from Eqn 1 in Eqn 2

$6y=4y+6 \\6y-4y=6\\2y=6$

Dividing both sides by 2

$\frac{2y}{2}=\frac{6}{2}\\y=3$

Putting y=3 in Eqn 1

$x=6(3)\\x=18$

Casey is 18 years old and Ralph is 3 years old.

Keywords: word problems, substitution method

Learn more about substitution method at:

#LearnwithBrainly

7 0

3 years ago

Who needs Math Help?

raketka [301]

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3 years ago

A new furnace for your small factory will cost $29,000 and a year to install, will require ongoing maintenance expenditures of $

Neporo4naja [7]

Answer:

Net present value is $61,058.

Step-by-step explanation:

Net present value is the difference between present value of cash inflows and the present value cash outflows over the period of time. NPV method is used in capital budgeting to analyze profitability of the project.

Less: initial cost is $29,000

Add: Year 1: Cost saving due to new furnace is $5,600 (2,800 oil gallons * $ 2 per gallon)

Year 2: Cost saving due to new furnace is $7,000 (2,800 oil gallons * $ 2.50 per gallon)

Year 3- 20: Cost saving due to new furnace is $8,400 (2,800 oil gallons * $ 3 per gallon)

Less : Maintenance expenditure is $1,200

The furnace will benefit for 20 years and the price per gallon will increase by $0.50 year.

The annuity factor is applied at discount factor of 6% and then present value of each cash inflow and outflow is calculated. The net present value is $61,058.

8 0

3 years ago

Help !!!! Match the written mathematical operation to the equivalent symbolic form

Burka [1]

Answer:

The matched pairs are:

(A, 4), (B, 1), (C, 2) and (D, 3)

Step-by-step explanation:

The complete question is:

Match each description of an algebraic expression with the symbolic form of that expression :

A. 2 terms; variables = x and y

B. 3 terms; variables = x and y; constant = 3

C. 2 terms; variable = x; constant = 4.5

D. 3 terms; variables = x and y; constant = 2

1. x - 2y + 3

2. 4.5 - 2x

3. 4.5x + 2 - 3y

4. 4.5y - 2x

Solution:

A. 2 terms; variables = x and y ⇒ 4. 4.5y - 2x

B. 3 terms; variables = x and y; constant = 3 ⇒ 1. x - 2y + 3

C. 2 terms; variable = x; constant = 4.5 ⇒ 2. 4.5 - 2x

D. 3 terms; variables = x and y; constant = 2 ⇒ 3. 4.5x + 2 - 3y

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2 years ago