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SOVA2 [1]
3 years ago
15

I need help solving systems of linear equations by substitution. {4x+3y=14 3x-2y=2

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

Answer:

A) 4x+3y=14

B) 3x-2y=2

We multiply equation A) by (2/3)

A) (8/3) x +2y = 28/3 then we add this to equation B)

B) 3x-2y=2

5 (2/3) x = 11 (1/3)

x = 2

A) 4 * 2 + 3 y = 14

A) 3y = 6

y = 2

Step-by-step explanation:

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A car can be rented for $75 per week plus $0.35 per mile. How many miles can be driven if you have at most $110 to spend for wee
sergey [27]

After you subtract the fixed cost of $75 from your budget of $110, you have $35 to spend on miles. At $0.35 per mile, you can afford 100 of them.

You can drive up to 100 miles for $110 or less.

8 0
3 years ago
Alex is practicing his dives at a pool. He dives from a dividing board that is 21 feet above the surface of the water. His dive
leonid [27]

Answer:

NO. Alex was wrong.  

The total dive distance is 21 + 17 = 38 feet

Step-by-step explanation:

Alex was wrong because his direction of diving is from above the water through the surface of the water to under the water.

So his direction of travelling is not opposite but the same.

Therefore the total distance traveled by Alex = distance traveled from the diving board to the water surface + distance traveled from the water surface to down below the water  

Distance traveled from the diving board to the water surface = 21 feet

Distance traveled from the water surface down below the water = 17 feet  

Total distance traveled by Alex = 21 feet + 17 feet

   = 38 feet.

Thus, Alex was wrong because the the total distance traveled by Alex was 38 feet.

6 0
3 years ago
The theater sells two types of tickets: adult tickets for $15 and
UkoKoshka [18]

Answer:

68

Step-by-step explanation:

Let x=adult tickets and y=child tickets

1) 15x+11y=1889

2) x+y=147

multiply equation 1 by -1/11 on both sides to get:

-(15/11)x-y=-171.73

add new equation with equation 2 to get

-4/11x=-24.73

Isolate x to get:

x=67.99999

Round up to get 68 adult tickets

6 0
3 years ago
What is the multiplicative inverse of 2?
andrew-mc [135]

Answer:

\frac{1}{2}

Step-by-step explanation:

Given a number n then the multiplicative inverse is \frac{1}{n}

The product of a number and it's multiplicative inverse = 1

Given 2, then multiplicative inverse is \frac{1}{2}

5 0
3 years ago
Zack has a old car. He wants to sell it for 60% off the current price. The market price is $500. How much money would he receive
oksano4ka [1.4K]
Since it would be 60% of the original price which is 500 it would have be $300
5 0
3 years ago
Read 2 more answers
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