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Montano1993
9 days ago
6

Emmanuel has 745 pictures in his phone his memory is getting full so he starts deleting 20 pictures everyday if I need to be abl

e to write an algebraic expression to describe the number of pictures of phone his phone after any given number of days
Mathematics
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Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $
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Let C denote the quantity of compost

T represent the quantity of topsoil

Each cubic yard of compost is priced at $25

Thus, the cost of C cubic yards of compost is 25C

Each cubic yard of topsoil costs $15

Therefore, the cost for T cubic yards of topsoil is 15T

Together, the amount of compost plus topsoil equals 10

C + T = 10 -------> Equation 1

The total cost for compost and topsoil is $180

25C + 15T = 180 --------> Equation 2

Rearranging the first equation to find C

C + T = 10

results in

C = 10 - T

Now substitute into the second equation

25C + 15T = 180

25 ( 10 - T) +15T = 180

Using like terms: 250 - 25T + 15T = 180

From which we can simplify to 250 - 10T = 180 by removing 250 from both sides

-10T = 180 - 250

yielding -10T = -70 (dividing both sides by -10)

results in T = 7


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2 months ago
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Barbara’s Catering Company makes the best fruit salad despite using only four ingredients. They use four apples for every mango,
lawyer [12517]
P stands for pineapple, p for pear, m for mango, and a for apple. Given a = 4*m, p = 2*a, and P = m; if they utilized 8 pineapples in their latest batch, they used 32 apples (calculated as 4*8) and 64 pears (calculated as 2*32).
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the volume of a sphere whose diameter is 18 centimeters is 246 324 648 972 π cubic centimeters. if its diameter were reduced by
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The sphere's radius is calculated as 18 divided by 2, giving 9 cm.

Using the formula for the volume of a sphere, we find it to be 4/3 πr^3, resulting in 4/3 x π x (9)^3 which equals 972 π cubic centimeters.

If we halve the diameter, the new volume can be calculated as: 4/3 x π x (9/2)^3 equals 4/3 x π x (9)^3 x (1/2)^3, simplifying down to 1/8 of 972.

Thus, the new volume will only be 1/8 of the original volume.
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3 months ago
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