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ratelena [41]
3 years ago
8

Don has a bag that weighs 2 oz, and Jamie has a bag that weighs 1 oz. Don put some marbles in his bag each weighing 9.4 oz, and

Jamie put the same number of marbles in her bag each weighing 11.2 oz. Let m represent the number of marbles in each bag. Which expression represents the total weight of both bags? A. B. C. D.
Mathematics
1 answer:
Andrej [43]3 years ago
6 0
total weight of both bags = 3 oz + 20.6m oz

Don's bag = 2 oz
Jamie's bag = 1 oz
Don's marbles = 9.4 oz * m
Jamie's marlbes = 11.2 oz * m

Total weight of Don's bag = 2 oz + 9.4m oz
Total weight of Jamie's bag = 1 oz + 11.2m oz

2 oz + 9.4m oz + 1 oz + 11.2m oz = 3 oz + 20.6m oz
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The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the
Sauron [17]

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.

calculates three times a year, not just once a year.

f(x)= 4(4)^x

3 times a year

so x becomes 3x

f(x)= 4(1+r)^{3x}

4(4)^x=4(1+r)^{3x}

Take log on both sides

log(4)^x=log(1+r)^{3x}

log(4)^x=log(1+r)^{3x}

Use log property and move exponent before log

xlog(4)=3xlog(1+r)}

Divide both sides by x

log 4 = 3 log(1+r)

Solve for '1+r'

log 4 = log(1+r)^3

Remove log from both sides

4 = (1+r)^3

take cube root on both sides

1.584740= 1+r

1+r = 1.59

f(x)= 4(1+r)^{3x}

so equation becomes

f(x)= 4(1.59)^{3x}

1+r = 1.59

subtract 1 from both sides

So r= 59 = 59%

So growth factor is 59%

Answer is option C



5 0
3 years ago
A bowl has the shape of a hemisphere whose diameter is 14 centimeters. If this bowl is filled with water, how many cubic centime
ASHA 777 [7]

Answer:

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

Step-by-step explanation:

Given;

diameter of the hemisphere, d = 14 cm

radius of the hemisphere, r = d/2 = 14/2  = 7 cm

The volume of the hemisphere is calculated as;

V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7}   \times (7 \ cm)^3\\\\V = 718.67 \ cm^3

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

4 0
3 years ago
How many whole cubecan be cut from a cuboid measuring 33 cm by 29 CM by 18 cm
xz_007 [3.2K]
Volume = length x width x height
Volume = 33 x 29 x 18
             = 17,226
Number of whole cubes formed by the defined volume = 17,226/3
                                                                                       = 5742 cubes
7 0
3 years ago
I need help with finding the pair of angles
cestrela7 [59]

Answer:

Straight

Step-by-step explanation:

supplementary means sum of two angles

with 180

6 0
2 years ago
PLEASE HELP WILL MARK BRAINLIEST
n200080 [17]

Answer: (4,8)

Step-by-step explanation:

(8) = (4) + 4

8 = 8

TRUE

(8) = 3(4) - 4

8 = 12 -4

8=8

TRUE

4 0
2 years ago
Read 2 more answers
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