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Karo-lina-s [1.5K]
3 years ago
5

Help number 16 sos please

Mathematics
1 answer:
natta225 [31]3 years ago
5 0
The answer is 0.4722. I hope this helps :)
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Suppose that y varies directly as the square of x, and that y=567 when x=9. What is y when x=4
Gwar [14]

Answer:

y  = 112

Step-by-step explanation:

If  y varies directly as the square of x

mathematically;

y ∝ x²

y = kx² where 'k' is the constant of proportionality

let u know the value of k for this equation by making k the subject of the formular from y = kx²

divide both sides by x²

k = y / x²

given that  y = 567 x = 9

k = 567/(9)²

k = 567/81

k = 7

now to get the value of  y when x = 4

from the equation conneting x, y,

y = kx²

y = 7 × (4)²

y = 7 × 16

y  = 112

6 0
2 years ago
Evaluate each expression using the values m = 7, r = 8, and t = 2.
user100 [1]

So I'll walk through the first 2. Then please try the other ones and let me know if you run into more problems.

5m-6

If m is equal to 7, then replace m with 7.

5(7)-6

5x7=35 so the expression is now 35-6. Solve.

35-6=29

So that was the first one.

4m+t

We just do what we do with the first problem.

4(7)+(2)

4x7=28 so the expression is 28+2.

28+2=28

---

hope it helps

p.s. When there is subtraction, add. When there is division, multiply to cancel that out. When there is multiplication, divide to cancel. etc.

6 0
2 years ago
Read 2 more answers
Please answer this question.
Nastasia [14]

Answer:

2x - 5

Step-by-step explanation:

1/5(10x - 25)

Use the Distrubitve Property

1/5 * 10x = 2x

1/5 * 25 = 5

New equation is 2x - 5

4 0
3 years ago
Solve the inequality.<br> -6n &gt; 54
Vika [28.1K]

Answer:

n < 9

Step-by-step explanation:

Solving an inequality is just like solving an equation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign to ensure that the expression remains true.

-6 n > 54

/ (-6)

n < 9

6 0
2 years ago
Sharon purchased a used car for $24,600. The car depreciates exponentially by 8% per
Tju [1.3M]

Answer:

The value of car after 5 years of exponentially depreciation is $16,213.36  

Step-by-step explanation:

The initial amount of the car = i = $24,600

The depreciates rate of interest applied = r = 8%

Let The value of car after n years = A  

The number of years = n = 5 years

Now,According to question

The value of car after n years = initial price of car  × (1-\dfrac{\textrm rate}{100})^{\textrm time}

Or, The value of car after 5 years = i × (1-\dfrac{\textrm r}{100})^{\textrm n}

Or, $A = $24,600 × (1-\dfrac{\textrm 8}{100})^{\textrm 5}

Or, $A = $24,600 × (0.92)^{5}

Or, $A = $24,600 × 0.65908

Or, $A = $16,213.36

So, The value of car after 5 years = A = $16,213.36

Hence , The value of car after 5 years of exponentially depreciation is $16,213.36  . Answer

5 0
3 years ago
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