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3 years ago

What is the meaning of the statement -30 < -5 ?

1 answer:

5 0

The symbol "<" without quotes means "less than". The number on the left is less than or smaller than the number on the right. Think of an alligator mouth representing this symbol. The mouth will face the larger amount because the alligator is greedy and wants the most food.

Another example: 5 < 8 which says "5 is less than 8" or "5 is smaller than 8". Going back to the alligator example, the alligator will want 8 pieces of food rather than 5 since it's greedy.

Based on that, the final answer is choice A

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30+6⋅7+8 need help asap!!!!

Sladkaya [172]

Answer:

80 :D!

Step-by-step explanation:

30 + (6 x 7) + 8

30 + 42 + 8

72 + 8

= 80

Hope this helps! Brainliest plz?

8 0

1 year ago

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CAN SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT ALSO PLEASE EXPLAIN HOW YOU GOT THE ANSWER!!!

sesenic [268]

Answer:

C. P(E) = 0.9

Step-by-step explanation:

If E needs to be greater than D, then you have two options. 1.5 and 0.9. Since D is 0.5, I think that the most reasonable answer is 0.9.

[If this is wrong, the you know your answer is B. P(E) = 1.5]

8 0

2 years ago

A firm has a fixed cost of $500 in its first year of operation. When the firm produces 100 units of output, its total costs are

HACTEHA [7]

Answer:

option (a) $250

Step-by-step explanation:

Data provided in the question:

Fixed cost = $500

For 100 units produced Total cost = $3,500

For 101 units produced, Total cost = $3,750

Now,

Marginal cost is calculated as:

Marginal cost = $\frac{\textup{Total change in cost of producing more goods}}{\textup{Total change in produced goods}}$

thus,

Marginal cost = $\frac{\textup{Total cost of 101 units - Total cost of 100 units}}{\textup{101-100}}$

Marginal cost = $\frac{\textup{3,750-3,500}}{\textup{1}}$

Marginal cost = $250

Hence,

The correct answer is option (a) $250

7 0

2 years ago

In a single growing season at the smith family orchard, the average yield per apple tree is 150 apples when the number of trees

Mariana [72]

Answer:

100 trees should be planted per acre to maximize the total yield (15000 apples per acre)

Step-by-step explanation:

<u>Functions </u>

Expressing some quantities in terms of other(s) comes in handy to understand the behavior of the situations often modeled by those functions.

Our problem tells us about the smith family orchard, where the average yield per apple tree is 150 apples when the number of trees per acre is 100 (or less). But the average yield per tree decreases when more than 100 trees are planted. The rate of decrease is 1 for each additional tree is planted

Let's call x the number of trees planted per acre in a single growing season. We have two conditions when modeling: when x is less than 100, the average yield per apple tree (Ay) is (fixed) 150.

$Ay(x)=150\ ,\ x\leqslant 100$

When x is more than 100:

$Ay(x)=150-x\ ,\ 100< x\leqslant 150$

The upper limit is 150 because it would mean the Average yield is zero and no apples are to be harvested

Part 1

We are asked what happens if the number of trees per acre was doubled, but we don't know what the original number was. Let's make it x=60

If x=60, then we must use the first function, and

Ay(60)=150

The yield per acre will be 150*60=9000 apples

If we doubled x to 120, we would have to use the second function

Ay(120)=150-x=30

The yield per acre will be 30*120=3600 apples

Note that doubling the number of trees would make the production decrease

If we started with x=30, then

Ay(30)=150, and we would have 150*30=4500 apples per acre

We already know that for x=60 (the double of 30), our production will be 9000 apples per acre

This shows us that in some cases, increasing the number of trees is beneficial and in other cases, it is not

Part 2

The total yield is computed as

Y(x)=x.Ay(x)

This function will be different depending on the value of x

$Y(x)=150x\ ,\ x\leqslant 100$

$Y(x)=150x-x^2\ ,\ 100< x\leqslant 150$

To find the maximum total yield we take the first derivative

$Y'(x)=150\ ,\ x\leqslant 100$

$Y'(x)=150-2x\ ,\ 100< x\leqslant 150$

The first expression has no variable, so the total yield must be evaluated in the endpoints

Y(0)=0

Y(100)=15000

Now, the second expression contains variable, it will be set to 0 to find the critical point

150-2x=0

x=75

x is outside of the boundaries, we cannot find the maximum in this interval

Answer: 100 trees should be planted per acre to maximize the total yield (15000 apples per acre)

7 0

3 years ago

Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. Ho

Alex777 [14]

Answer:

2 7/20

Step-by-step explanation:

So Lets put these into a fraction form

Petra: 5 3/5

Pauline: 3 4/16 -> Can be Simplified = 3 1/4

Take the number of pies Petra Ate and subtract it by the number of pies Pauline ate

Change the numbers to a common factor. (multiply 3/5 by 4 and 1/4 by 5 to have common denominators)

$5 \frac{12}{20} - 3 \frac{5}{20}$

Make These Into a Mixed Fraction

$\frac{112}{20} -\frac{65}{20}$

Subtract 112-65

$\frac{47}{20}$

Simplify (divide 47 into 20 how many times to get into a mixed fraction)

$2 \frac{7}{20}$

I think this is right. Hope This Helps

7 0

2 years ago

Read 2 more answers