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3 years ago

5x-3y=41 What is the X and Y values

1 answer:

6 0

This is one half of a simultaneous equation. Without the other half, the values are theoretically unsolvable.

With that said, with trial and error you can work this out. I came out with an answer of x=1, y=12.

This is not a good practice. It's time consuming to solve simultaneous questions like this. Make sure you use the other half of the equation in the future.

I hope this helps!

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Jill had a certain amount of money. she spent 15$ downloading new songs. she has 2/5 of the original amount left. how much money

Lostsunrise [7]

Let's call the original amount of money x.

We know that she has 2/5 of the original amount left, and that this is equal to $15.

Therefore, 2/5(x) = 15, and x = $37.50.

5 0

3 years ago

A bag contains 12 red, 30 blue, 20 green, 10 yellow, and 8 black marbles. Nancy chooses 1 marble from the bag. What is the proba

saul85 [17]

Answer:

5/8

Step-by-step explanation:

12+30+20+10 +8 =80 total marbles

12+30+8=50 red blue and black

50/80

5/8

6 0

4 years ago

-4d + 2(3 + d) = -14<br><br> Please help

soldi70 [24.7K]

-4d + 2(3+d)= -14
distribute the 2(3+d)
-4d + 6+ 2d= -14
Combine the like terms
-4d + 2d + 6= -14
-2d + 6 = -14
subtract 6 to -14
-2d = -20
divide by -2
d= -20/-2
d= 10
Check your answer
-4(10) + 2(3+ 10) = -14
-40 + 6 + 20
-40 + 26= -14

6 0

3 years ago

Read 2 more answers

Greg builds a new pond which has a volume of 7.35 m3. What is the width of the pond?

arsen [322]

The pong will be at 3.5 m

5 0

4 years ago

Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....

lina2011 [118]

Answer:Answer:

$\sum\left {{7} \atop {1}} \right -n(3+n)$

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as $S_n = \frac{n}{2}[2a+(n-1)d]$

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

$S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70$

The sum of the nth term of the sequence will be;

$S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)$

The sigma notation will be expressed as $\sum\left {{7} \atop {1}} \right -n(3+n)$ . <em>The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.</em>

3 0

3 years ago