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Wittaler [7]
2 years ago
14

Roberto’s cat weighed 6 3/4 pounds last year.Then the cat gained 1 1/2 pounds.How much does the cat weigh now?

Mathematics
1 answer:
hammer [34]2 years ago
4 0
Add the gain and the last weight together
new weight = 6 3/4 + 1 1/2
or we can write it as
new weight = 6 + 3/4 + 1 + 1/2

Separate whole numbers and fraction
new weight = 6 + 3/4 + 1 + 1/2
new weight = 6 + 1 + 3/4 + 1/2

Simplify the whole numbers
new weight = 6 + 1 + 3/4 + 1/2
new weight = 7 + 3/4 + 1/2

Equalize the denominators of the fraction
new weight = 7 + 3/4 + 1/2
new weight = 7 + 3/4 + 2/4
new weight = 7 + 5/4

Because 5/4 is improper fraction, change it to mixed fraction
new weight = 7 + 5/4
new weight = 7 + 1 1/4
new weight = 7 + 1 + 1/4
new weight = 8 + 1/4
new weight = 8 1/4

The cat weights 8 1/4 pounds now
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erica [24]

The value of x that is the length from the edge of the screen to the end of the wall is equal 3. This is derived from an equation which serves as a function of the Area. See the solution below.

<h3>

What is the calculation for the solution above?
</h3>

Recall that the area of the entire wall is 40m².

(10-2x) (16- 2x) = 40

Expanding the brackets, we have

160-20x-32x + 4x² = 40
4x² - 52x + 120 = 0
x² - 13x +30 = 0

Using the quadratic equation

x = (-b±√b²-4ac)/2a

Where a = 1
b  = 13
c = 30

x = (13 ± 7)/2

Thus x = 10; or x = 3.

x cannot be the answer because it invalidates 16-x<0;

Hence, the correct answer is x = 3

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7 0
2 years ago
Please help and explain!!!!!
FinnZ [79.3K]

Let x be the amount of the 30% alloy and y the amount of the 60% alloy the metalworker will use. However much is used, the final alloy will have a mass of

x+y=100

kilograms. For each kg of the 30% alloy used, 0.3 kg is copper; similary, each kg of the 60% alloy contributes 0.6 kg, so that

0.3x+0.6y=0.54(x+y)=54

Now,

x+y=100\implies y=100-x

\implies0.3x+0.6(100-x)=54

\implies60-0.3x=54

\implies0.3x=6

\implies x=20

\implies y=100-20=80

6 0
3 years ago
Derek has a white cube and a red cube.
cluponka [151]

Answer:

1/72

Step-by-step explanation:

Probability of getting a 4 on white cube is:

P(W) · P(4) = 1/2 × 1/6 = 1/12

P(R) · P(>4) = 1/2 × 2/6 = 1/6

multiply both probabilities:  1/12 × 1/6 = 1/72

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B-5%7D%7B2%7D%20%7D" id="TexFormula1" title="4^{\frac{-5}{2} }" alt="4^{\frac{
photoshop1234 [79]

Answer:

Given expression is equal to  1/32

Step-by-step explanation:

Given that:

= 4^(-5/2)

To eliminate "-" sign we will invert the fraction as follows:

= (1/4)^ 5/2

Or it can be written as:

= =\sqrt{(1/4)^5} \\=\sqrt{1/1024} \\=1/32

This is the simplified expression.

i hope it will help you!

8 0
3 years ago
A store owner purchases thirty 75-watt light bulbs and 40 fluorescent light bulbs for a total cost of $95. A second purchase, at
N76 [4]

Answer:   75-watt are 30$  fluorescent are 30$ in the second and 65$ in the first

     

Step-by-step explanation: i calculated thirty 75-watt and the fluorescent and got these kinda hard to explain hope i helped:)

7 0
3 years ago
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