All categories

3 years ago

2/3 • 3/9 simplest form

Mathematics

1 answer:

Eddi Din [679]3 years ago

6 0

2/3 x 3/9 =
6/9 x 3/9
18/81=
6/27

therefore, the answer is 6/27

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Jerry has $558 to spend on dining room chairs. if each chair costs $58, does he have enough to purchase nine chairs

netineya [11]

Answer:

No because the chairs would have to be the price of $62.00

Step-by-step explanation:

divide 558 by 9

so if the chairs had been 62 dollars then he would have enough

4 0

3 years ago

If f(x)=2x−1, show that f(f(x))=4x−3. Find f(f(f(x))).

Allushta [10]

Answer: f(f(f(x)) = 8x - 7

Step-by-step explanation:

f(f(x)) means that we are evaluating f(x) with itself, then if f(x) = 2x - 1

f(f(x)) = 2*f(x) - 1 = 2*(2x - 1) - 1 = 4x - 2 - 1 = 4x - 3

f(f(x)) = 4x - 3

Then, we have f(f(f(x)) = 4*f(x) - 3

= 4*(2x - 1) - 3 = 8x - 4 - 3 = 8x - 7

6 0

4 years ago

Is the answer: -64xy^2(square root)-6y?

Arturiano [62]

no, it's not a square root that we need to identify

8 0

3 years ago

The dimensions of a rectangular garden were 4m by 5m. Each dimension was increased by the same amount the garden then had an are

pogonyaev

The dimension of new garden is 7 meter by 8 meter

Solution:

The dimensions of a rectangular garden were 4m by 5m

Length = 4 m

Width = 5 m

Each dimension was increased by the same amount the garden then had an area of 56 square meter

Let "x" be the amount of increase

Then,

Length = 4 + x

Width = 5 + x

Also, given that,

New area = 56 square meter

The area of rectangle is given as:

$Area = length \times width$

Substituting the values we get,

$56 = (4+x)(5+x)\\\\56 = 20 + 4x + 5x + x^2\\\\x^2 + 9x + 20 - 56 = 0\\\\x^2 + 9x -36=0$

Let us solve the above equation by quadratic formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

$\text{For } x^2+9x-36 \text{ we get , }$

a = 1 and b = 9 and c = -36

Substituting the values of a = 1 ; b = 9 ; c = -36 in above quadratic formula we get,

$x = \frac{-9\pm \sqrt{9^2-4\cdot \:1\left(-36\right)}}{2\cdot \:1}\\\\x = \frac{-9\pm \sqrt{81+144}}{2}\\\\x = \frac{-9 \pm 15}{2}$

We get two solutions,

$x = \frac{-9+15}{2} \text{ or } x = \frac{-9-15}{2}\\\\x = 3 \text{ or } x = -12$

Since dimension cannot be negative, ignore x = -12

Thus solution is x = 3

Length = 4 + x = 4 + 3 = 7

Width = 5 + x = 5 + 3 = 8

Thus dimension of new garden is 7 meter by 8 meter

5 0

3 years ago

The number of students in a school fell from 700 last year to 646 this year. What is the percentage reduction?

leva [86]

Answer: 7.71%

Step-by-step explanation:

Number of students in a school last year = 700

Number of students in a school this year = 646

Reduction in the number of students = 700 - 646 = 54

The percentage reduction will be:

= Reduction in number / Last year students × 100

= (54 / 700) × 100

= 7.71%

8 0

3 years ago