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Ghella [55]
3 years ago
8

A 9-pound bag of sugar is being split into containers that hold 2/3 of a pound. How many containers will the 9-pound bag create?

Mathematics
2 answers:
Viktor [21]3 years ago
7 0

Answer:

12

Step-by-step explanation:

Each 3 pounds will need 4 containers

Lemur [1.5K]3 years ago
3 0

Answer: below

Step-by-step explanation: You simply need to divide the total amount of sugar (9 lbs) by the amount that you put into each bag (2/3 lb). This expression looks kind of ugly in this form, so let's instead multiply 9 by the reciprocal of 2/3, which in this case is 3/2. The reciprocal of any number is just 1 divided by the number.

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0 = x^3-8<br> Help me with this problem
ser-zykov [4K]

Answer:

6

Step-by-step explanation:

7 0
3 years ago
Between 1965 and 1980, the world population grew at an annual rate of 2%. Using the rule of 72, population is expected to double
Fiesta28 [93]

Answer:

The population is expected to double in 36 years

Step-by-step explanation:

According to the the rule of 72,

A value is doubled if the product of the annual rate and number of years is 72,

Given,

The annual rate of interest = 2%

Let x be the time in years after 1965,

By the above statement,

The population will double if,

x × 2 = 72 ⇒ x = 36

Hence, the after 36 years since 1965 the population will be doubled,

i.e in 2001.   ( ∵ 36 years after 1965 )

4 0
4 years ago
Researchers wanted to determine if there was an association between the level of satisfaction of an individual and their risk of
castortr0y [4]

Answer:

Step-by-step explanation:

Hello!

To see if there is an association between the variables:

"Level of satisfaction of an individual"

"Risk of diabetes of an individual"

The researchers studied 1621 people over 5 years.

Observations recorded:

Interviews of daily lives and hassles and hypothetical situations that were studied to assess their emotions.

Determination, if in the course of these 5 years the individuals experienced any type of diabetes.

Conclusion "Satisfied individuals are less likely to have diabetes"

a) This is a prospective cohort study.

In this type of study, a group of individuals that share the same characteristics is observed over some time, recording the events of interest.

b) Considering that the experiment concluded that "satisfaction" reduces the "risk of diabetes", we can determine that the response variable is "Risk of diabetes of an individual" and the explanatory variable is "Level of satisfaction of an individual".

Remember, the explanatory variable is the one considered to have a direct effect over the response variable.

c) "the research team also hasn't ruled out that a common factor like genetics could be causing both the emotions and the lung cancer."

There is a new variable that may affect the experiment. Be "genetic factor" the new variable and it affects directly "emotions and lung cancer", we can say that if some of those individuals are genetically predisposed to have lung cancer, this affects their emotions (satisfaction) and therefore, modifying their risk of having diabetes.

If this is so, then the genetic factor could be a lurking variable affecting directly the result of the observational experiment. Then the correct answer is:

A. The researchers may be concerned with confounding that occurs when the effects of two or more explanatory variables are not separated or when some explanatory variables were not considered in a study, but that affects the value of the response variable.

I hope it helps!

3 0
3 years ago
What is the lowest term for 5/8+1/2=
irakobra [83]

Answer:

5/8+1/2=9/8 or 1 1/8

Step-by-step explanation:

1/2 x 4 (top and bottom)= 4/8

5/8 + 4/8 = 9/8

3 0
2 years ago
Read 2 more answers
The distance between each base on a field is 90 ft. How far does a catcher have to throw the ball from home plate to second base
Gnoma [55]

Step-by-step explanation:

A baseball field is in the shape of a square (or diamond).  Home plate and second base are opposite corners of each other.  So the distance is equal to the diagonal of the square.

Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.

Using Pythagorean theorem:

c² = a² + b²

c² = (90 ft)² + (90 ft)²

c = 90√2 ft

c ≈ 127 ft

7 0
3 years ago
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