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weqwewe [10]
2 years ago
3

lisa has a certain amount of amount of money, she spent $39 and has 3/4 of the original amount left. how much money did she have

originally?
Mathematics
1 answer:
gulaghasi [49]2 years ago
6 0
She had $156, I believe
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Team A and Team B play in a competition.
Anuta_ua [19.1K]
Team A: 15 points
Team B: 3 points

Team A has twelve more points than Team B:
A = B + 12
Team A has five times as many points as Team B:
A = B × 5
A = 5B

substitute "A" with "B + 12" to solve for B:
A = 5B
(B + 12) = 5B
B + 12 = 5B
12 = 5B - B
12 = 4B
3 = B
Team B has 3 points
now substitute "B" with 3 to solve for A:
A = 5B
A = 5(3)
A = 15
Team A has 15 points

Check your answer by inputting both values into either equation:
A = 5B
(15) = 5(3)
15 = 15 ✔

A = B + 12
(15) = (3) + 12
15 = 15 ✔
8 0
2 years ago
Read 2 more answers
A town has a population of 19000 and grows at 4% every year. To the nearest year, how long will it be until the population will
larisa [96]

Answer:

1 year

Step-by-step explanation:

The population can be modelled by the equation:

P=P_0(1 + r)^{t}

From the question, the initial population is

P_0=19000

The annual growth rate is r=0.04

We want to find how long it will take for that population to reach 43500.

We substitute the values to get:

43500=19000(1 + 0.04)^{t}

435=190(1.04)^{t}

\frac{435}{190}  = (1.04)^{t}

t =  \frac{  \ln(2.289) }{1.04}

t = 0.7965

To the nearest year, t= year

8 0
2 years ago
The Goodsmell perfume producing company has a new line of perfume and is
LenKa [72]

Given:

It is given that surface area must be less than 150 cm².

Solution:

The Maximum Volume With Total Surface Area Less  than 150 cm² is shown in the table.

From the table, it can be concluded that for r=3.00 cm and h=4.95 cm the surface area will be less than 150 cm²  and the volume will be the maximum.

S=2\pi rh+2\pi r^2\\S=2\pi (3)(7.95)+2\pi3^2\\S=93.3+56.5\\S=149.8 \text{ cm}^2

Calculate the volume.

V=\pi r^2h\\V=\pi(3)^2(4.95)\\V=139.96

Hence, the required dimensions are r=3.00 cm and h=4.95 cm.

8 0
2 years ago
Se the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x2
pishuonlain [190]
\mathbf f(x,y,z)=x^2\sin y\,\mathbf i+x\cos y\,\mathbf j-xz \sin y\,\mathbf k
\implies\nabla\cdot\mathbf f(x,y,z)=2x\sin y-x\sin y-x\sin y=0

which means

\displaystyle\iint_S\mathbf f(x,y,z)\,\mathrm dS=\iiint_R\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=0
8 0
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The school cafeteria paid $82.80 for 360 bags of pretzels. The cost of the pretzels is proportional to the number bought. What i
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Answer:

Step-by-step explanation:y 68 fgp8gr

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