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3 years ago

Find the product of (5.2 · 10-6) and (8 · 103).

1 answer:

5 0

The first one is 46 because according to the order of operations in this problem you have to multiply first so you do 5.2 times 10 which is 52 . Next do 52 - 6 = 46. Next multiply 8 times 103 which is 824. Then you multiply the two (46 times 824) and you get 37904

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) Turner helped his grandfather build a raised garden bed for Turner's grandmother. The

worty [1.4K]

The length of the garden bed is 6 feet

<h3>The volume of a rectangular prism</h3>

The formula for calculating the volume of a rectangular prism is expressed as:

V = lwh

If turner and his grandfather used 18 bags of topsoil, each containing 3/4 of a cubic foot, to fill the bed completely, hence;

V = 3/4 * 18

V = 13.5 cubic foot

In order to determine the length of the garden;

135/10 = 9/2 * 1/2l

27/2 =9/4 l

18l = 27 * 4

18l = 108

l = 6 feet

Hence the length of the garden bed is 6 feet

Learn more on volume of rectangular prism here: brainly.com/question/24284033

5 0

2 years ago

Please explain how to divide 1,344 by 24 using the box method? I know the answer is 56, but I am not sure how to get this answer

Maslowich

Answer:

Step-by-step explanation:

Given that divisor is 24 and dividend is 1344 and we are to use box method.

Long division is often considered one of the most challenging topics to teach. Luckily, there are strategies that we can teach to make multi-digit division easier to understand and perform.

The Box Method, or the Area Model, is one of these strategies. It is a mental math based approach that will enhance number sense understanding. Students solve the equation by subtracting multiples until they get down to 0, or as close to 0 as possible.

For example this method is shown below:

I step is to find in multiples of 10 or 100 the greatest divisor

24) 1344( 500

1200

--------

144

Step 2: Next step is to divide 144 by 24

24)144( 6

144

----

Thus we find that quotient is quotient in I step + quotient in 2nd step

= 50+6 = 56

and remainder is zero.

7 0

3 years ago

PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1

marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

$\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}$

Comparing the given line with the form above:

$y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}$

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

$\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}$

The y-intercept of L is at (0,5), therefore:

$y-intercept,b=5$

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

$\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}$

The equation of line L is:

$y=-3x+5$

7 0

1 year ago

The ratio of a to b is 9:2, and the ratio of c to b is 5:3. What is the ratio of a to c?

xz_007 [3.2K]

The answer is that the ratio of a to c is 9/5

8 0

2 years ago

Annalise withdraws $22.50 each day from her account for a week. How can you represent the change in the account for the week?

natali 33 [55]

Answer:poop

Step-by-step explanation:

Because poop

5 0

2 years ago