Ask question

Ask question

All categories

3 years ago

10

A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts. About 15.4% of the mixed nuts in a batch ar

e pecans. If a batch contains 77 pounds of pecans, how many pounds of mixed nuts are in a batch altogether? Enter your answer in the box.

1 answer:

Elan Coil [88]3 years ago

4 0

Answer:

500 lb

Step-by-step explanation:

You have to make a proportion:

$\frac{part}{whole} = \frac{percent}{100}$

77 lb is part of the whole weight ( which we don't know) so 77 will go on top

The problem tells us that 15.4% of the total weight is pecans so 15.4 will go over 100 (since % are out of 100)

$\frac{77}{x} = \frac{15.4}{100}$

Then you cross multiply giving you: 7700 = 15.4x

then you divide 15.4 to both sides to isolate x which will give you 500

You might be interested in

Jaime has 38 marbles if Jorge had 14 more marbles he would have twice as many as Jaime how many marbles does Jorge have now?

Ganezh [65]

Answer: Jorge has 62 marbles.

Step-by-step explanation: Given that Jaime has 38 marbles if Jorge had 14 more marbles he would have twice as many as Jaime.

We are to find the number of marbles that Jorge has.

Let x and y represents the number of marbles that Jalme and Jorge has respectively.

Then, according to the given information, we have

$x=38$

and

$y+14=2x\\\\\Rightarrow y+14=2\times38\\\\\Rightarrow y+14=76\\\\\Rightarrow y=76-14\\\\\Rightarrow y=62.$

Thus, Jorge has 62 marbles.

5 0

3 years ago

Read 2 more answers

Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of

victus00 [196]

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

$Rate = \frac{f(b) - f(a)}{b - a}$

In this case:

$(a,b) = (0,3)$

i.e.

$a = 0\\b=3$

For f(x)

$f(x) = 16(\frac{1}{2})^x$

$Rate = \frac{f(b) - f(a)}{b - a}$

$Rate = \frac{f(3) - f(0)}{3 - 0}$

$Rate = \frac{f(3) - f(0)}{3}$

Calculate f(3) and f(0)

$f(x) = 16(\frac{1}{2})^x$

$f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2$

$f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16$

So:

$Rate = \frac{f(3) - f(0)}{3}$

$Rate = \frac{2 - 16}{3}$

$Rate = -\frac{14}{3}$

For g(x)

$Rate = \frac{g(b) - g(a)}{b - a}$

$Rate = \frac{g(3) - g(0)}{3 - 0}$

$Rate = \frac{g(3) - g(0)}{3}$

From the table of g(x)

$g(3) = 1$

$g(1) = 27$

So:

$Rate = \frac{1 - 27}{3}$

$Rate = -\frac{26}{3}$

For h(x)

$Rate = \frac{h(b) - h(a)}{b - a}$

$Rate = \frac{h(3) - h(0)}{3 - 0}$

$Rate = \frac{h(3) - h(0)}{3}$

From the graph of h(x)

$h(3) = -3$

$h(0) = 4$

So:

$Rate = \frac{-3 - 4}{3}$

$Rate = -\frac{7}{3}$

So, the calculated rates of change are:

$f(x) = -\frac{14}{3}$ $= -4.67$

$g(x) = -\frac{26}{3}$ $=-8.67$

$h(x) = -\frac{7}{3}$ $=-2.33$

By comparison:

From the fastest decreasing to slowest, the order is: <em>g(x), f(x) and h(x)</em>

4 0

3 years ago

Assume that 1200 births are randomly selected and exactly 595 of the births are girls. Use subjective judgment to determine whet

emmainna [20.7K]

Answer:

Lets assume that 1200 births are randomly selected and exactly 595 of the births are girls.

In percentage this is : $\frac{595}{1200}\times100=49.58\%$

This is approx 50%. We can say that almost random 50% are girls.

So, It is unlikely because the probability of this particular outcome is very small, considering all of the other possible outcomes.

Part B: It is not unusual because 595 is about the number of girls expected.

6 0

3 years ago

Consider the enlargement of the triangle. A smaller triangle with side lengths 9 millimeters and 6 millimeters. A larger triangl

Drupady [299]

Answer:45

Step-by-step explanation:

4 0

3 years ago

Simplify. (x3)5 5x3 x15 x2 x8

maks197457 [2]

You just combine like terms so it'll be 5x^43

3 0

3 years ago

Read 2 more answers