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Sophie [7]
1 year ago
7

a piggy bank containing only quarters has a mass of 850 grams when empty and 7822 grams when filled if a quarter weighs 5.6 gram

s estimate the money
Mathematics
2 answers:
kap26 [50]1 year ago
7 0
I thinks the answer is 12.45
stira [4]1 year ago
4 0
Number of quarters= (7822-850)/5.6 = 1245

multiply that by 0.25 (worth of a quarter) to get the amount of money in US dollars

1245*0. 25=311.25$
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Answer:

option 4 (2,-15)

Step-by-step explanation:

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1 year ago
The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr
malfutka [58]

For this case we have that by definition, the area of a triangle is given by:

A = \frac {b * h} {2}

Where:

b: It is the base of the triangle

h: It is the height of the triangle

According to the statement data we have:

b = 6 + 2h

Substituting we have:

88 = \frac {(6 + 2h) * h} {2}\\176 = 6h + 2h ^ 2\\2h ^ 2 + 6h-176 = 0

We divide between 2 on both sides:

h ^ 2 + 3h-88 = 0

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

These numbers are +11 and -8.

(h + 11) (h-8) = 0

We have two roots:

h = -11\\h = 8

We choose the positive value.

Thus, the base of the triangle is:b = 6 + 2 (8) = 22

Answer:

The base of the triangle is 22 units.

5 0
2 years ago
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6 0
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malfutka [58]
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4 0
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melisa1 [442]

Answer:

The problem with this solution is that a regression model is not recommended to extrapolate because we do not know if the linear relation that we calculated for a specific range of x values still holds outside this range.

Step-by-step explanation:

We have a linear regression model, with a range of the independent variable "x" that goes from 0 to 6.

The regression model finds a good fit (r=0.8582).

As it has a good fit, it is proposed to use this model to extrapolate and calculate the value of y for x=50.

It is not recommended to extrapolate a regression model unless we are really sure that the model is still valid within the range within we are extrapolating.

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