9. Derrick Zoolander is working in the mines for $8.00 per hour, but he get overtime for every hour over 40 hours.

Solve this equation. <br> Leave the answer as an improper fraction. <br> 3x^2 + 2 = 11 - x^2

Nikolay [14]

Answer:

$x = \frac{3}{2}orx=-\frac{3}{2}$

Step-by-step explanation:

The given Equation is

$3x^{2} + 2 = 11-x^{2}$ .................(i)

Adding ( $x^{2} -11$ ) on both sides of (i)

$3x^{2}+2+x^{2}-11 = 11-x^{2}+x^{2}-11$

solving and cancelling out the terms will give

⇒ $4x^{2} -9=0$

⇒ $(2x)^{2} -(3)^{2} = 0$ ...................(ii)

Now we Know that

$(a)^{2} -(b)^{2} = (a-b)(a+b)$

Applying this on equation (ii)

$(2x-3)(2x+3)=0$

This will lead us to

Either 2x-3 =0 .......(iii) or 2x+3=0 ..........(iv)

Solving equation (iii) for value of x

2x - 3 =0

adding 3 on both sides

2x -3 +3 = 0+ 3

2x = 3

Cross multiplying gives

$x=\frac{3}{2}$

Solving equation (iv) for value of x

2x + 3 =0

adding -3 on both sides

2x -3 +3 = 0- 3

2x = -3

Cross multiplying gives

$x=\frac{-3}{2}$

so $x=\frac{3}{2}$ and $x=\frac{-3}{2}$

7 0

3 years ago

hapis has four buckets. The buckets hold 4700ml,4.8l,3880ml,and 4.71 l hapis wants to to use the bucket that holds the closest t

Mariana [72]

Answer:

Bucket 2

Step-by-step explanation:

Bucket 1 = 4700ml

Bucket 2 = 4.8l

Bucket 3 = 3880ml

Bucket 4 = 4.71 l

Convert holding capacity of bucket 1 and bucket 3 into liters

1 liter = 1000 milliliter

Bucket 1 = 4700ml

4700ml = 4.7l

Bucket 3 = 3880ml

3880ml = 3.88l

Therefore,

Bucket 1 = 4.7l

Bucket 2 = 4.8l

Bucket 3 = 3.88l

Bucket 4 = 4.71 l

The bucket closest to 5liters is bucket 2 with a holding capacity of 4.8 liters

4 0

2 years ago

your family went out to dinner to celebrate your grandmas 100th birthday. The total for the dinner was $208.60, so your parents

Allushta [10]

Answer:

$\%Tip = 13.04\%$

Step-by-step explanation:

Given

$Tip= \$31.29$

$Bill = \$208.60$

Required

Determine the percentage of the tip

First, we calculate the amount paid

$Amount = Tip + Bill$

$Amount = \$31.29 + \$208.60$

$Amount = \$239.89$

The percentage of the tip is then calculated using:

$\%Tip = \frac{Tip}{Amount} * 100\%$

$\%Tip = \frac{31.29}{239.89} * 100\%$

$\%Tip = \frac{31.29* 100}{239.89} \%$

$\%Tip = \frac{3129}{239.89} \%$

$\%Tip = 13.04\%$

8 0

2 years ago

Find the original price of each item round your answer to the nearest dollar ?

shusha [124]

Answer: $789.74

$584.99 x35% = 204.75

584.99 + 204.75= 789.74 the original price

Step-by-step explanation:

8 0

3 years ago

WILL GIVE BRAINLIEST 5 STARS AND THANKS Find the number of 4-digit numbers that contain exactly two even and two odd digits.

IgorLugansk [536]

Answer:

4433

Step-by-step explanation:

2 even 2 odd

4 0

3 years ago

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