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Nady [450]
2 years ago
12

Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used. Lewis

is saving for a down payment of $8,750 on a house. The initial amount of money he has saved is $250, and the amount of money he plans on saving every month is $340. To model the situation, he created this equation, where x represents the number of months and y represents the total amount of savings: y = 250 + 340x.

Mathematics
1 answer:
son4ous [18]2 years ago
8 0

The fill up for the 3rd  step is y - 250 =  340x.

  • The fill up of the 5th step is x = \frac{y-250}{340}
  • The fill up of the 6th step  is \frac{8750-250}{340} = 25 = x, \frac{8750-250}{340}= 34 = x
  • The justification for the 2nd step is subtraction PE.
  • The justification for the 4th step is division PE.

<h3>What is the simplification  about?</h3>

Note that:

y-250 = 250 + 340 x - 250

y = 250 + 340x.

Make x the subject of the formula:

y - 250 =  340x.

then y-250/340 = x

Then  x = \frac{y-250}{340}

The justification for the second step is subtraction property of equality because it undergoes subtraction and the collection of like terms and then subtracting them from one another as shown below:

y-250 = 250 + 340 x - 250

y= 250 + 340x - 250 + 250

Note that (-250 + 250) = 0

y = 250 + 340x.

Lastly, The fill up of the 6th step is substitution of the amount of money  saved and  then simplifying it.

Learn more about simplification from

brainly.com/question/723406

#SPJ1

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Amaya used these steps to solve the equation 8x + 4 = 9 + 4 (2x-1). Which choice describes the meaning of her result, 4=5?
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She distributed the 4 to the 2x-1, giving her 9+ 8x -4. she subtracted 8x from both sides leaving her with 4=9-4 which is the same as 4=5
5 0
3 years ago
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Hockey teams receive 2 points when they win and 1 point when they tie. One​ season, a team won a championship with 66 points. Th
german

Answer:

26 wins , 14 ties

Step-by-step explanation:

Given: Hockey teams receive 2 points when they win and 1 point when they tie. One​ season, a team won a championship with 66 points. They won 12 more games than they tied.

To Find: How many wins and how many ties did the team​ have.

Solution:

let the number of wins hockey team have =\text{x}

let the number of ties hockey team have   =\text{y}

Now,

Hockey teams receive 2 points when they win and 1 point when they tie.

2\text{x}+\text{y}=66

They won 12 more games than they tied

\text{x}-\text{y}=12

Solving both equations we get

\text{x}=26

\text{y}=14

Hence, the hockey team have 26 wins and 14 ties.

3 0
3 years ago
Select the correct answer from the drop-down menu. A whole number is 6 more than 2 times another number. The sum of the two numb
olya-2409 [2.1K]

Answer:

x = \{13,14\}

Step-by-step explanation:

Given

x + 2x + 6 < 50

Required

True values of x

We have:

x + 2x + 6 < 50\\

3x + 6 < 50

Collect like terms

3x < 50-6

3x < 44

Divide both sides by 3

x < 44/3

x < 14.67

This means that x has a value lesser than 14.67.

Hence, the valid values are:

x = \{13,14\}

7 0
3 years ago
A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 90​% of the time when t
garik1379 [7]

Answer:

a)  P[A/B] = 0,019     or     P[A/B] = 1,9 %

b)  P[A- /B-] = 0,9996       or    P[A- /B-] = 99,96 %

Step-by-step explanation:

Bayes Theorem :

P[A/B]  =  P(A) * P[B/A] / P(B)

The branches of events are as follows

Condition 1        real infection     1/300        and     not infection  299/300

Then

1.-    1/300      299/300

When the test is done   (virus present)  0,9 (+)    0,15 (-)

2.-   299/300

When the test is done  ( no virus )   0,15  (+)     0,85 (-)

Then:

P(A) = event person infected          P(B)  =  person test positive

a) P[A/B]  = P(A) * P[B/A] / P(B)

where   P(A)  = 1/300  =   0,0033   P[B/A] = 0,9    

Then P(A) * P[B/A] =  0,0033*0,9  =  0,00297

P(B)   is    ( 1/300 )*0,9  +  (299/300)*0,15

P(B) = 0,0033*0,9 + 0,9966*0,15    ⇒  P(B) = 0,1524

Finally

P[A/B] =  0,00297 /0,1524

P[A/B] = 0,019     or     P[A/B] = 1,9 %

b) Following sames steps:

P[A- /B-] = (299/300) * 0,85  / (299/300) * 0,85 + (1/300 * 0,1)

P[A- /B-] = 0,8471 /0,8474

P[A- /B-] = 0,9996       or    P[A- /B-] = 99,96 %

6 0
3 years ago
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