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3 years ago

Solve de system by elimination. x-5y=3 4x-4y=12

Mathematics

1 answer:

Anit [1.1K]3 years ago

7 0

If we multiply the top equation by -4 we can get rid of the x so:

-4x+20y=-12

4x-4y=12

Add these up

16y=0

Y=0

X=3

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Which shows 0.23 repeated as a fraction.<br> A. 2/33 <br> B. 7/33 <br> C. 23/99 <br> D. 7/30

sergij07 [2.7K]

Answer: c

Step-by-step explanation: 23/99 as a fraction

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3 years ago

Howie sorkin can travel 8 miles upstream in the same time it takes him to go 12 miles downstream. His boat goes 15 mph in still

lozanna [386]

Answer: the speed of the current is 2.5 mph

Step-by-step explanation:

Let the speed of the boat be x miles per hour

Let the speed of the current be y miles per hour

Speed = distance / time

Time = distance/speed

If the boat goes 12miles downstream(in still water) at 15 mph then, the time is

12/ 15 = 0.8 hours

In still water, it means that it moved in the same direction with the current.

The total speed would be x + y. Therefore

x + y = 15 - - - - - - -1

If the boat goes 8 miles upstream in 0.8 hours, the the speed is

8/ 0.8 = 10 miles per hour

Assuming it moved in the opposite direction to the current.

The total speed would be x -y. Therefore

x - y = 10 - - - - - - -2

Adding equation 1 and equation 2, it becomes

2x = 25

x = 25/2 = 12.5

y = 15 - x

y = 15 - 12.5 = 2.5 miles per hour

8 0

3 years ago

Jacob is trying to figure out what to wear to school. He has 5 shirts,3 pairs of pants and 2 pairs of socks to choose from.How m

bixtya [17]

He could make two outfits!

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3 years ago

Read 2 more answers

During a baseball season, team a scores 9 runs for every 7 runs that team b scores. The total number of runs scored by both team

mrs_skeptik [129]

Answer:

∴ Team b scores is 630

And team a scores is 810

Step-by-step explanation:

Given;

Team a scores $9$ runs for every $7$ runs that team b scores.

Lets,

Think b is scores $x$ runs;

Then a is scores $x+(2\times\frac{x}{7} )$ ;

Because every 7 runs of b , a is scores more 2 runs.

Total number of runs scored by both teams is 1440

Runs score by team a + Runs score by team b=1440

$x+(2\times\frac{x}{7} )+ x =1440$

$2\times x+ \frac{2\times x}{7}=1440$

$\frac{(14\times x)+(2\times x)}{7} =1440$

$\frac{16\times x}{7} =1440$

$16\times x=1440\times 7$

$x=\frac{10080}{16}$

$x=630$

∴ Team b scores is 630

And team a scores is $630+(2\times \frac{630}{7} )=810$

5 0

3 years ago

Divide the following polynomials, then place the answer in the proper location on the grid. Use synthetic division. Write the an

Troyanec [42]

Answer:

5x + 7 + ----------

x - 5

Step-by-step explanation:

Divide 5x 2 - 18x -27 by x - 5 using synthetic division. Important: Please use the symbol " ^ " to denote exponentiation.

Divide 5x^2 - 18x -27 by x - 5 using synthetic division.

Setting up synth. div., we choose the divisor to be 5. That comes from (x-5)=0. Then,

5 / 5 -18 -27

25 35

------------------------

5 7 8

Because the remainder (8) is not zero, x-5 is not a factor of 5x^2 - 18x -27.

The "answer" is thus:

5x + 7 + ----------

x - 5

4 0

3 years ago

Solve de system by elimination. x-5y=3 4x-4y=12​

Solve de system by elimination. x-5y=3 4x-4y=12