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3 years ago

24. Critical Thinking Anika wants to determine the maximum

Mathematics

1 answer:

ololo11 [35]3 years ago

3 0

Answer:

t ≤ 3 ; kindly check explanation for more explanation

Step-by-step explanation:

Given that :

Number of tulip (t) =?

Cost of bulb = $1.50

Pot for each bulb purchased at =$1.25

Bag of potting soil = $10.00

Number of tulip bulb that can be purchased without spending more than $20

Cost of tulip bulb = [(cost per bulb + cost per pot) * number purchased (t) + cost of bag of potting soil]

Cost = [(1.50 + 1.25)t + 10]

If spending should not exceed $20

2.75t + 10 ≤ 20

2.75t ≤ 20 - 10

2.75t ≤ 10

t ≤ 10/2.75

t ≤ 3.64

He cannot purchase more than 3 tulip bulbs

Anika cannot buy exactly enough tulip bulbs an pot to spend the full $20 because the number obtained is a fraction and not a whole number.

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Solve -9(t - 2) = 4(1-15).

snow_lady [41]

Answer:

t = 74 / 9

Step-by-step explanation:

-9(t - 2) = 4(1 - 15)

-9t + 18 = 4 - 60

-9t + 18 = -56

-18 -18

-9t = -74

/-9 /-9

t = 74 / 9

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3 years ago

Read 2 more answers

Seeds are often treated with fungicides to protect them in poor-draining, wet environments. A small-scale trial, involving six t

alukav5142 [94]

Answer:

0.0076 = 0.76% probability that all five plants emerged from treated seeds

Step-by-step explanation:

The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

6 + 6 = 12 seeds, which means that $N = 12$

6 treated, which means that $k = 6$

Five sprouted, which means that $n = 5$

What is the probability that all five plants emerged from treated seeds?

This is P(X = 5). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 5) = h(5,12,5,6) = \frac{C_{6,5}*C_{6,0}}{C_{12,5}} = 0.0076$

0.0076 = 0.76% probability that all five plants emerged from treated seeds

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3 years ago

It took Samantha 324 minuets to cook an 18 pound turkey. How many minutes per pound did it take to cook the turkey

Natalka [10]

18 min per pound

324 min. = X
______ _____
18 1 pound

324 x 1 = 324 324/18= 18 pounds

Cross multiply then divide as above.

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3 years ago

Solve the system of linear equations.

sweet-ann [11.9K]

Answer:

dependent system
x = 2 -a
y = 1 +a
z = a

Step-by-step explanation:

Let's solve this by eliminating z, then we'll go from there.

Add 6 times the second equation to the first.

(3x -3y +6z) +6(x +2y -z) = (3) +6(4)

9x +9y = 27 . . . simplify

x + y = 3 . . . . . . divide by 9 [eq4]

Add 13 times the second equation to the third.

(5x -8y +13z) +13(x +2y -z) = (2) +13(4)

18x +18y = 54

x + y = 3 . . . . . . divide by 18 [eq5]

Equations [eq4] and [eq5] are identical. This tells us the system is dependent, and has an infinite number of solutions. We can find them in terms of z:

y = 3 -x . . . . solve eq5 for y

x +2(3 -x) -z = 4 . . . . substitute into the second equation

-x +6 -z = 4

x = 2 - z . . . . . . add x-4

y = 3 -(2 -z)

y = z +1

So far, we have written the solutions in terms of z. If we use the parameter "a", we can write the solutions as ...

x = 2 -a

y = 1 +a

z = a

_____

<em>Check</em>

First equation:

3(2-a) -3(a+1) +6a = 3

6 -3a -3a -3 +6a = 3 . . . true

Second equation:

(2-a) +2(a+1) -a = 4

2 -a +2a +2 -a = 4 . . . true

Third equation:

5(2-a) -8(a+1) +13a = 2

10 -5a -8a -8 +13a = 2 . . . true

Our solution checks algebraically.

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3 years ago

John jogged 4 1/2 miles. Susan jogged 1/4 of the miles that John jogged. How many miles did Susan jog?

Kobotan [32]

Answer:

Susan jogged 1 1/8 miles

Step-by-step explanation:

4 1/2= 18/4. 18/4 ÷ 1/4= 1.125= 1 1/8

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3 years ago