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Radda [10]
3 years ago
8

Use substitution to solve the system of equations.

Mathematics
1 answer:
kakasveta [241]3 years ago
4 0

Answer:

C (let me know if I am wrong!)

Step-by-step explanation:

We need to solve the equation.

If 5x+y = -24, then -24 - 5x = y.

x+ 3(-24-5x) = -2

= -14x-72=-2

= -14x-72+72=-2+72

= -14x=70

= -5

If x = -5, then -5 + 3y = -2.

3y = -2+5

3y = 3

y=1

So the answer is C.

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Find the rational number whose decimal expansion is 0.3344444
Eddi Din [679]
Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever

==============================================

Work Shown:

I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...

Now let x = 0.334444...

Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
100x = 33.444444...

And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
1000x = 334.444444...

Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
1000x-100x = (334-33)+(0.444444... - 0.444444...)
900x = 334 - 33
900x = 301
x = 301/900
6 0
3 years ago
If y=6 when x=15 then which of thr following is the value of x when y=20
denis23 [38]

Answer:

if you meant x times y...

15 x 20 is 300.

if you meant x + y...

15 + 20 is 35.

if you meant anything else, please let me know

the way it was written confused me but I tried.

7 0
2 years ago
Which of the following functions is graphed below?
Irina18 [472]

Answer:

fat bit

fat old ugly

Step-by-step explanation:

5 0
2 years ago
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess
maxonik [38]

Answer:

Total weight of the wheat placed on 45th square will be = 1.26\times 10^{6}tons

Step-by-step explanation:

King rewarded the inventor of chess by giving grain of wheat on every square of the chess board. He places one  grain of wheat on first square, 2 on second, 4 on 3rd, 8 on 4th and so on.

In fact he places grains of wheat in a progression S = 1, 2, 4, 8, 16.........n terms where value of n is 64.

We can rewrite the progression as S = 2°, 2, 2², 2³,.........n terms (n = 64)

In a geometric progression we know the nth term = a(r^{n-1})

where a = first term of the series, r = common ratio, n = number of terms

Now we have to calculate the weight of all wheat placed on 45th square.

So we will put the values in the given formula 45th term =

1\times (2^{45-1}) = 2^{44}=1.76\times 10^{13}

Then the weight of wheat will be = 2.51\times 10^{9}pounds=1.26\times 10^{6}tons



7 0
3 years ago
Can anyone help me with this?
Illusion [34]

Answer:

Step-by-step explanation:

5 0
2 years ago
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