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2 years ago

Decide whether it would be more convenient to solve the system of equations by substitution or elimination.

Mathematics

1 answer:

mixer [17]2 years ago

4 0

Answer:

I would use elimination in this scenario. Because in both equations there is a coefficient on both variables, it would be difficult to isolate one variable and would leave the equation as a fraction. Instead, use elimination. Multiply the first equation by -15, which changes it to 10x + 225y = -90, and then subtract the second equation, thus cancelling out the 10x's and letting you solve for Y. Hope this helps!

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Helpppppppppppppp !!!

Artemon [7]

Answer:

a) 8

b) 2 1/4 hours

c) 4 7/8 hours

d) 4 1/8 hours

Step-by-step explanation:

a) LCD to be used to solve this problem is calculated as the Lowest common denominator of the above mixed fractions.

We have 1 1/2 hours and 1 1/8 hours

The lowest common denominator is the denominator calculated by

Multiplying the two denominators together and dividing by the common factor of the two denominators

Hence , we have

2 × 8 = 16

The common factor of 2 and 8 = 2

LCD = 16/2 = 8

b) How long did Matt drive?

We are told that Matt drove twice as long as John

John drove for 1 1/8 hours

Hence, the number of hours that Matt drove for =2 × 1 1/8

= 2 × 9/8 = 9/4 hours = 2 1/4 hours

c) How long the Sam, John and Matt drive ?

We are told in the question that

Sam drove for 1 1/2 hours

John drove for 1 1/8 hours

Matt drove for 2 1/4 hours

We would sum up the number of hours that each of them drove.

1 1/2 + 1 1/8 + 2 1/4

The Lowest common multiple of denominators is 8

= (1 + 1 + 2)( 4 + 1 +2/8)

= 4(7/8)

= 4 7/8 hours

d) How many hours is left for Bob to drive

We are told that the entire journey = 9 hours

The number of hours Sam, John and Matt drove for has been calculated in question c as 4 7/8 hours

The number of hours Bob will drive for is calculated as

9 hours - 4 7/8 hours

= 4 1/8 hours

6 0

3 years ago

Please Help , Is It A,B,C Or D

vladimir1956 [14]

Answer:

Im Gonna Have to Say B

Step-by-step explanation:

5 0

3 years ago

Graph the solutions of the inequality.<br> X-3> 11<br> How do I know if the hole is open or close

34kurt

Answer:

x>14

Step-by-step explanation:

X-3> 11

Add 3 to each side

X-3+3> 11+3

x > 14

The hole is open at 14 since it is greater than

( it would be closed if it were ≥) The line goes to the right since it is greater than

3 0

3 years ago

5. Write 895,003,049 in expanded form.

aleksandr82 [10.1K]

Answer:

800,000,000 90,000,000 5,000,000 3,000 40 9

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Cherry is booking a 3-night stay at a hotel. The rate is $45 per room plus tax.

8_murik_8 [283]

Answer:

The lodging cost of the room is $ 41.28

Step-by-step explanation:

Given as :

The rate of room including taxes = $ 45

The state tax = 6 %

The city tax = 2 %

The municipal tax = 1 %

So, The total tax = 6 % + 2 % + 1 % = 9 %

Let The lodging cost = $ x

So, According to question

x + 9 % of x = $ 45

Or, x + 0.09 × x = 45

Or, 1.09 × x = 45

∴ x = $\frac{45}{1.09}$ = $ 41.28

Hence The lodging cost of the room is $ 41.28 Answer

6 0

3 years ago