All categories

2 years ago

Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.

Mathematics

1 answer:

xenn [34]2 years ago

7 0

Answer:

9(1 +6)

Step-by-step explanation:

9 = 9 * 1

54 = 9 * 6

9 + 54 = (9*1 ) + (9*6) {9 is common in both terms}

= 9*(1 + 6)

You might be interested in

Derek found a function that approximately models the population of iguanas in a reptile garden, where x represents the number of

serious [3.7K]

Answer:

$i(x)=12 \times (1+\frac{0.9}{12})^{12x}$ and growth rate factor is 0.075

Step-by-step explanation:

The function that models the population of iguanas in a reptile garden is given by $i(x)=12 \times (1.9)^{x}$ , where x is the number of years.

Since, $i(x)=12 \times (1.9)^{x}$

i.e. $i(x)=12 \times (1+0.9)^{x}$ .

Therefore, the monthly growth rate function becomes,

i.e. $i(x)=12 \times (1+\frac{0.9}{12})^{x \times 12}$ .

i.e. $i(x)=12 \times (1+\frac{0.9}{12})^{12x}$ .

Hence, the monthly growth rate is i.e. $i(x)=12 \times (1+\frac{0.9}{12})^{12x}$ .

Also, the growth factor is given by $\frac{0.9}{12}$ = 0.075.

Thus, the growth factor to nearest thousandth place is 0.075.

4 0

2 years ago

I think of a number and add 6. The result is equal to twice the first number

brilliants [131]

Answer:

A. X+6=6x

X+6=6(x)

Step-by-step explanation:

B. 3+6=3×6

9=18

5 0

2 years ago

What is the solution to the equation -3d/a^2-2d-8 + 3/d-4 = -2/ d+2

Alex73 [517]

Answer:

d=1

Step-by-step explanation:

$\frac{-3d}{d^2-2d-8} +\frac{3}{d-4} =\frac{-2}{d+2}$

Lets factor the denominator d^2 -2d-8

d^2 - 2d - 8 = (d-4)(d+2)

$\frac{-3d}{(d-4)(d+2)} +\frac{3}{d-4} =\frac{-2}{d+2}$

Now make the denominators same

LCD: (d-4)(d+2)

$\frac{-3d}{(d-4)(d+2)} +\frac{3(d+2)}{(d-4)(d+2)} =\frac{-2(d-4)}{(d+2)(d-4)}$

Denominators are same on both sides

So equate the numerators

-3d +3(d+2) = -2(d-4)

-3d +3d +6 = -2d +8

6 = -2d + 8

subtract 8 on both sides

-2 = -2d

So d=1

3 0

2 years ago

Read 2 more answers

Ms. Armstrong is a carpenter. She keeps her tools in a cube-shaped box in her truck. Ms. Armstrong's toolbox is 15 inches long o

Debora [2.8K]

to find the volume you would multiply length width and height

4 0

3 years ago

Read 2 more answers

Allen's daily regular wage is P1,420. This coming Christmas, his boss is asking him to work for 14 hours. How much is his DAILY

VMariaS [17]

Using proportions, it is found that his DAILY RATE on that particular day is of Php 2,420 .

This question is solved by proportions, using a <em>rule of three.</em>

In a regular 8-hour day, Allen earns Php 1420. How much will he earn on a 14 hour day?

The <em>rule of three</em> is:

8 hours - Php 1420

14 hours - x

Applying cross multiplication:

$8x = 1420 \times 14$

$x = \frac{1420 \times 14}{8}$

$x = 2485$

The closest option is Php 2,420.

A similar problem is given at brainly.com/question/24372153

7 0

2 years ago