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Rashid
18 days ago
5

estimate the total weight of two boxes that weigh 9.4 lb and 62.6 lb using rounding and compatible numbers. which estimate is cl

oser to the actual total weight
Mathematics
1 answer:
babunello [8.4K]18 days ago
5 0
<span><span>1.      </span>We have two boxes with weights:
=> 9.4 lb and 62.6 lb.
To find a rough estimate of their total weight, we will round and use compatible numbers.
For 9.4 lbs, rounding gives us 9 lbs
And for 62.6 lbs, it rounds to 63 lbs
=> Adding these two rounded numbers yields:
=> 9 + 63
=> 72, the estimated total is 72.
Let’s verify if this is close to the actual weight
=> 9.4 + 62.6
=> 72</span>



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Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2. How many pounds of gravel does it take to cover one square foot? H
babunello [8412]

The amount of gravel and the area it covers are examples of ratios.

A weight of 7 lb can cover 1 square foot, while 315 lb can cover an area of 45 square feet.

The relevant parameters are:

252\ lb= 36ft^2

To find the number of pounds needed for 1 square foot , perform the following calculation:

x = 1ft^2

Thus, we have:

x = 1ft^2

252\ lb= 36ft^2

Cross multiply

x \times 36 = 252 \times 1

And divide both sides by 36

x = 7lb

The area that 315 lb of gravel can cover is calculated as follows:

So, we have:

315lb = y

315lb = y

Cross multiply

252\ lb= 36ft^2

y \times 252 = 36 \times 315

And divide both sides by 252

y \times 252 = 11340

Thus, 7 lb will cover

1 square footy = 45, and 315 lb will encompass an area of

45 square feet.

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6 0
1 day ago
What is a rational number that is located between 31.5 and 31.6
Svet_ta [9500]
A rational number refers to any number that can be written as a fraction, such as 2, -3, 2/3, etc.

Essentially, any non-repeating number found between 31.5 and 31.6 would suffice.

Examples include: 31.51, 31.52, 31.568, 31.599

I suggest 31.55 since it’s straightforward and can be expressed as the fraction: 361/20

4 0
9 days ago
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A game has 15 balls for each of the letters B, I, N, G, and O. The table shows the results of drawing balls 1,250 times.
zzz [9080]

In theory, each letter has an equal chance of appearing since there are 15 of each. With 5 letters available, the total count is 75 balls, and each letter has a probability \dfrac{15}{75}=\dfrac15 of being selected.

This suggests a theoretical frequency of \dfrac{1250}5=250, meaning on average, any specific letter should be drawn 250 times, so the answer is D.

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21 day ago
How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) =
lawyer [9240]

The adjusted equation $g(x)=\frac{1}{x+4}-6$, indicating that the graph has been altered 4 units leftward and 6 units downward.

Clarification:

The parent equation is $f(x)=\frac{1}{x}$.

The transformed equation is $g(x)=\frac{1}{x+4}-6$.

Applying the function transformation rules, it's clear that the parent function $f(x)=\frac{1}{x}$ has been modified into the function $g(x)=\frac{1}{x+4}-6$.

According to the function transformation rules,

$f(x+b)$ indicates shifting the function b units to the left.

Thus, the transformed function reflects a shift 4 units to the left.

Additionally, from the function transformation rules, we understand that,

$f(x)-b$ indicates shifting the function b units downward.

Consequently, the transformed function mirrors a shift of 6 units downward.

In summary, the adjusted equation $g(x)=\frac{1}{x+4}-6$, shows the graph shifted 4 units to the left and 6 units downward.

6 0
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First note the ratio is
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