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3 years ago

11

33% of what number is 1.45?

2 answers:

mario62 [17]3 years ago

7 0

33 percent of 1.45 would be 4.39

NikAS [45]3 years ago

6 0

It is 4.39 hope it helps

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Solving Rational equations. LCD method. Show work. Image attached.

posledela

$(k-2)(k-6)=k^2-2k-6k+12=k^2-8k+12$

So in order to get all the fractions to have a common denominator, we need to multiply $\dfrac k{k-2}$ by $\dfrac{k-6}{k-6}$ , and $\dfrac1{k-6}$ by $\dfrac{k-2}{k-2}$ :

$\dfrac k{k-2}\cdot\dfrac{k-6}{k-6}=\dfrac{k(k-6)}{(k-2)(k-6)}=\dfrac{k^2-6k}{k^2-8k+12}$

$\dfrac1{k-6}\cdot\dfrac{k-2}{k-2}=\dfrac{k-2}{(k-2)(k-6)}=\dfrac{k-2}{k^2-8k+12}$

Now,

$\dfrac4{k^2-8k+12}=\dfrac{(k^2-6k)+(k-2)}{k^2-8k+12}$

As long as $k\neq2$ and $k\neq6$ (which we can't have because otherwise $k^2-8k+12=0$ ), we can cancel $k^2-8k+12$ in the denominators on both sides:

$4=(k^2-6k)+(k-2)$

$4=k^2-5k-2$

$0=k^2-5k-6$

We can factorize the right side:

$0=(k-6)(k+1)$

which tells us that $k=6$ and $k=-1$ are solutions.

4 0

3 years ago

Oscar has $30 from his allowance. There is a video game he wants to buy that costs $17.99, a chocolate bar that costs $0.79 and

Airida [17]

Answer:

$Balance = \$2.23$

Step-by-step explanation:

Given

$Allowance = \$30$

$Video\ Game = \$17.99$

$Chocolate\ Bar = \$0.79$

$Remote\ Car = \$8.99$

Required [Missing from the question]

What is his balance after purchasing the items

First, calculate total cost of items

$Total =Video\ Game + Chocolate\ Bar + Remote\ Car$

$Total = \$17.99 + \$0.79 + \$8.99$

$Total = \$27.77$

The balance is then calculated as:

$Balance = Allowance - Total$

$Balance = \$30 - \$27.77$

$Balance = \$2.23$

3 0

3 years ago

1+4=5<br> 2+5=12<br> 3+6=21<br> 8+11=?

lilavasa [31]

well,

1 + 4 = 1 x (4 +1) = 1 x 5 = 5

2 + 5 = 2 x (5 + 1) = 2 x 6 = 12

3 + 6 = 3 x (6 + 1) = 3 x 7 = 21

Therefore we can find the missing number as;

8 + 11 = 8 x (11 + 1) = 8 x 12 = 96

<span>Answer = 96</span>

4 0

2 years ago

A box that measures 3 inches by 5 inches by 3 inches.

Ira Lisetskai [31]

Answer:

45 cubic inches

Step-by-step explanation:

base (15) (5 times 3) times height (3)

3 0

2 years ago

A botanist collected data on the growth of sunflowers to maturity. She modeled the equation y=x+1/2 for the line of best fit

murzikaleks [220]

Answer:

The y intercept is 1/2

i.e. The starting height is 1/2

Step-by-step explanation:

Given

$y =x + \frac{1}{2}$

Required

Determine the y intercept --- <em>Missing</em>

At y intercept: $x = 0$

So:

$y =x + \frac{1}{2}$

Substitute $x = 0$

$y = 0 + \frac{1}{2}$

$y = \frac{1}{2}$

<em>The y intercept is 1/2</em>

4 0

2 years ago