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lianna [129]
3 years ago
9

Solve the equation. 4d + 2d – 4d + 4 = 3d

Mathematics
2 answers:
Alex777 [14]3 years ago
8 0
4d+2d-4d+4=3d
2d+4=3d
4=3d-2d
d=4
andreyandreev [35.5K]3 years ago
4 0

add like tersms

remember you can do anything to an equaitona s longas  you do it to both sides


4d+2d-4d+4=3d

6d-4d+4=3d

2d+4=3d

add negative 2d to both sides

2d-2d+4=3d-2d

0+4=1d

4=d

d=4

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Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from
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Answer:

The required probability is \frac{19}{40}

Step-by-step explanation:

The probability of obtaining a defective item from container 1 is P(E_1)=\frac{3}{8}

The probability of obtaining a good item from container 1 is P(E_1)=\frac{5}{8}

The probability of obtaining a defective item from container 2 is P(E_1)=\frac{2}{5}

The probability of obtaining a good item from container 2 is P(E_1)=\frac{3}{5}

The cases of the event are

1)Defective item is drawn from container 1 and good item is drawn from container 2

2)Defective item is drawn from container 2 and good item is drawn from container 1

Thus the required probability is the sum of above 2 cases

P(Event)=\frac{3}{8}\times \frac{3}{5}+\frac{5}{8}\times \frac{2}{5}=\frac{19}{40}

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3 years ago
Which expression is equivalent to 5x+3?​<br><br><br>A. 8x<br>B. 3+5x<br>C. 3x+5<br>D. 5(x+3)
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Step-by-step explanation:

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HELP PLEASE!
Archy [21]

Answer:

Option 2  50 ≤ s ≤ 100

Option 5 She could deposit $50

Option 6 She could deposit $75

Step-by-step explanation:

Let

s -----> amount of money Layla deposit into a saving account

we know that

25%=25/100=0.25

50%=50/100=0.50

so

s\geq 0.25*200 -----> s\geq \$50

s\leq 0.50*200 -----> s\leq \$100

The compound inequality is

\$50 \leq s\leq \$100

<em>Verify each case</em>

case 1) 25 ≤ s ≤ 50

The statement is false

see the procedure

case 2) 50 ≤ s ≤ 100

<u>The statement is True</u>

see the procedure

case 3) s ≤ 25 or s ≥ 50

The statement is false

Because is s ≤ 100 and  s ≥ 50

case 4) s ≤ 50 or s ≥ 100

The statement is false

Because is s ≤ 100 and  s ≥ 50

case 5) She could deposit $50

<u>The statement is true</u>

Because the value of s satisfy the compound inequality  \$50 \leq s\leq \$100

case 6) She could deposit $75

<u>The statement is true</u>

Because the value of s satisfy the compound inequality  \$50 \leq s\leq \$100

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