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MA_775_DIABLO [31]

3 years ago

15

Markuo spends $27 on some plants. Each plant costs $9. How many plants does he buy?

1 answer:

kicyunya [14]3 years ago

6 0

Answer:

He can buy 3 plants

Step-by-step explanation:

$27 is the total amount of money he can spend, if each plant costs $9 the equation would be like this:

9x = 27

Divide 27 by 9 because division is the opposite operation to multiplication

x = 3

You might be interested in

If y varies inversely as x and y is 2.5 when x is 6, what is y when x is 4? a. 3.75 b. 1.67 c. 0.1 d. 7.5 Please select the best

REY [17]

Because y varies inversely as x, therefore
$y= \frac{k}{x}$
where k = constant.

When x = 6, y = 2.5. Ther efore
$\frac{k}{6} = 2.5$
Cross multiply.
k = 6 x 2.5 = 15

The equation is
$y = \frac{15}{x}$

When x = 4, obtain
$y = \frac{15}{4}= 3.75$

Answer: a. 3.75

8 0

3 years ago

Read 2 more answers

A polygon has 29 sides.<br><br> Work out the sum of its interior angles.

grin007 [14]

Answer:

29

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The polynomial p(x)=3x^3-20x^2+37x-20 has a known factor of (x-4). Rewrite p(x) as a product of linear factors. p(x) =

vesna_86 [32]

Answer:

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

Step-by-step explanation:

p(x) has degree 3

(x - 4) has degree 1

So p(x) can be rewritten as a polynomial of degree 2 multiplying (x-4)

So

$p(x) = (ax^{2} + bx + c)(x - 4)$

To find a, b and c, we have to divide p(x) by x - 4.

So

Finding a:

Dividing the first term of p(x) by x - 4.

$\frac{3x^{3}}{x - 4} = 3x^{2}$

So a = 3.

Now multiplying 3x² by, x - 4, we have:

$3x^{2}(x - 4) = 3x^{3} - 12x^{2}$

Subtracting p(x) from this:

$3x^{3} - 20x^{2} + 37x - 20 - (3x^{3} - 12x^{2}) = 3x^{3} - 20x^{2} + 37x - 20 - 3x^{3} + 12x^{2} = -8x^{2} + 37x - 20$

Finding b:

Dividing the first term, after the subtraction, by x - 4.

$\frac{-8x^{2}}{x - 4} = -8x$

So b = -8.

Multiplying -8x by x - 4, we have:

$-8x(x-4) = -8x^{2} + 32x$

Then

$-8x^{2} + 37x - 20 - (-8x^{2} + 32x) = -8x^{2} + 37x - 20 + 8x^{2} - 32x = 5x - 20$

Finding c:

$\frac{5x}{x - 4} = 5$

So c = 5.

Just to verify if the remainder is 0.

$5(x - 4) = 5x - 20$

$5x - 20 - (5x - 20) = 0$

Ok

Then:

$p(x) = (ax^{2} + bx + c)(x - 4)$

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

7 0

3 years ago

Find ordered pairs: choose two of the answers below

Anarel [89]

Answer:

b -3,3 c 6,9 hope this helps

5 0

3 years ago

3b + 7b with b = 4 <br> Please answer :)

jeka57 [31]

Answer:

40

Step-by-step explanation:

Substitute the variable, x, with 4

3(4) + 7 (4)

Multiply

3(4)= 12

7(4)= 28

12 + 28 = 40

5 0

3 years ago