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LuckyWell [14K]
3 years ago
14

Solve each word problem using a system of equations. Use substitution or elimination.

Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0

Answer:

Step-by-step explanation:

x + 3y = 24.....multiply by -1

5x + 3y = 36

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

-x - 3y = -24 (result of multiplying by -1)

5x + 3y = 36

------------------add

4x = 12

x = 12/4

x = 3 <=======

x + 3y = 24

3 + 3y = 24

3y = 24 - 3

3y = 21

y = 21/3

y = 7 <========

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Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, four green ones, two
Rainbow [258]
The answer to this question would be: 85/99

In this question, Suzan is taking 8 marble from a bag containing 4 red marbles, 4 green ones, 2 white ones, and 2 purple ones. The total marble in the bag should be: 4+4+2+2= 12. The question is how much the probability to get <4 red marble. In this question, the green, white and purple is not specified so you can join them into not red group. It will be easier to find the probability of "have all the red one" which mean Suzan take 4 red marble and 4 not-red marble<span>

Ways to take 8 marble out of 12=12C5= 12!/4!8!= </span>495
Ways to take 4 red marble out of 4= 4C4= 1
Ways to take 4 not red marble out of 8= 8C4= 8!/4!4!= 70

Probability to <span>have all the red ones= 1*70/495= 14/99
</span>Then the probability does not have all the red ones= 99/99 - 14/99= 85/99
6 0
3 years ago
A stockholder owns 381.881 shares. By the end of the year, he had increased his number of shares by 14.814. What’s the new total
beks73 [17]

Answer:

438.453 shares

Step-by-step explanation:

<em>From my understanding, the question says that the shares were increased by 14.814%.</em>

<em>Therefore, we have to calculate the increase</em>

<u>Step 1: Calculate the increase</u>

Previous shares : 381.881

Increase : 14.814%

Increase = 381.881 x 14.814% = 56.572

<u>Step 2: Calculate the new total shares</u>

New shares = 381.881 + (381.881 x 14.814%)

New shares = 381.881 + 56.572

News shares = 438.453

Therefore, the new total shares owned by the stockholder are 438.453 shares.

!!

8 0
3 years ago
Rewrite the expression -2a(a+b-5)+3(-5a+2b)+b(6a+b-8)
erastovalidia [21]
First, think of it as 3 different expressions.Go through them one at a time. There is:
-2a(a+b-5)                    ]            +3(-5a+2b)          ]        +b(6a+b-8)
Multiply everything out.] Multiply everything out.  ]Multiply everything out
-2a x a = -2a²               ] +3 x -5a = -15a               ] +b x 6a = 6ab 
-2a x b = -2ab              ] +3 x 2b = 6b                    ] +b x b = b²
-2a x -5 = 10a              ] -15a + 2b = -15a+2b       ] +b x -8 = -8b                  -2a² + -2ab + 10a =  ]                                         ] 6ab + b² + -8b =
-2a²+-2ab+10a            ]                                         ] <span>6ab+b²+-8b
</span>Now add everything up, but before that, remember these algebraic rules:
∞A.S.S. Add Same Signs, meaning positive add positive or negative add negative equals a positive number or 0. E.g 1+1=1 and -1+-2= 1
∞S.I.D. Subtract If Different, meaning a positive number add a negative number always equals a negative number or 0. E.g 1 + -2 = -1
∞You can only add up "similar terms", meaning you can add 'terms' ending in 'a' for example with another 'term' ending in 'a'. However. you cannot add a term ending in 'a' to an 'ab' or an 'a²'.
Following these rules, -2a²+-2ab+10a+-15a+2b+<span>6ab+b²+-8b = 
</span>4ab-5a-6b+b²-2a²

Hope that helps you and that it wasn't too tricky to understand. :)
3 0
3 years ago
Help me please <br><img src="https://tex.z-dn.net/?f=c-%2020%20%3D%204%20-%203c" id="TexFormula1" title="c- 20 = 4 - 3c" alt="c-
yKpoI14uk [10]

Answer:

c=6

Step-by-step explanation:

c-20-4-3c

c-20+20= 4+20-3c

c=24-3c

c+3c=24-3c + 3c

4c = 24

4c 4 24 4 =

c = 6

3 0
2 years ago
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Corey used 7 bags of fertilizer...
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3 years ago
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