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ddd [48]
2 years ago
7

Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and

a half gallons. The water comes in 32-fluid ounce (quarter-gallon) containers. What algebraic inequality represents this situation?
Mathematics
2 answers:
s2008m [1.1K]2 years ago
5 0

Answer:

5.5+0.25x\geq 20

Step-by-step explanation:

Kevin already has five and a half gallons of water for the trip

He knows he needs at least 20 gallons of water for the trip.

The water comes in 32-fluid ounce (quarter-gallon) containers.

1 fluid ounce =0.0078125 gallons

32-fluid ounce =32 \times 0.0078125 =0.25

Let x be the number 32-fluid ounce (quarter-gallon) containers required  to have at least 20 gallons of water for the trip.

1 container contains 0.25 gallons of water

So, x container contains 0.25x gallons of water

So, Kelvin has total gallons of water =5.5+0.25x

Since we are given that He knows he needs at least 20 gallons of water for the trip.

So, 5.5+0.25x\geq 20

Hence the algebraic inequality represents this situation is 5.5+0.25x\geq 20

PSYCHO15rus [73]2 years ago
5 0

Answer: One-fourth x + 5 and one-half greater-than-or-equal-to 20

Step-by-step explanation:

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yarga [219]

Answer:

A. The correct conclusion is that the segments are congruent and similar.

Step-by-step explanation:

Congruent figures are also similar because when all sides are equal, they are in the same ratio too (i.e 1 : 1)

4 0
2 years ago
A population of 950 bacteria grows continuously at a rate of 4.75% per day. (a) Write an exponential function, N(t), that repres
krek1111 [17]

Answer: a) N(t) = 950e^0.0475t b) 1020

Step-by-step explanation:

a)

N(t) = 950e^0.0475t.

N/B — Base is e (exponential) because growth is continuous.

b)

N = {36/24} =(approximately) 1020

4 0
2 years ago
Read 2 more answers
We want to estimate the population mean within 5, with a 99% level of confidence. the population standard deviation is estimated
pashok25 [27]
A sample size of 60 is required.

We use the formula
n=(\frac{z*\sigma}{E})^2

We first find the z-score associated with this level of confidence:
Convert 99% to a decimal:  99/100 = 0.99
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Divide by 2:  0.01/2 = 0.005
Subtract from 1:  1-0.005 = 0.995

Using a z-table (http://www.z-table.com) we see that this value is equally distant from 2.57 and 2.58; therefore we will use 2.575:

n=(\frac{15(2.575)}{5})^2=59.68\approx60
3 0
2 years ago
Sam gave jen 1/2 of his jujubes .jen ate 1/2 ofthe jujubes and gave rest to kyle.kyle kept 8 of the jujubes and gave the last 10
erastovalidia [21]
Let x = the # jujubes Sam had
he gave x/2 to jen
jen eats half of it  =    1/2(x/2) =    x/4
the remaining  x/4 he gave to kyle
kyle kept 8 and gave 10 to Kim
so
             x/4 - 8 = 10
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3 0
2 years ago
ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.
GalinKa [24]

Answer:

Options (3) and (6)

Step-by-step explanation:

ΔABC is a dilated using a scale factor of \frac{1}{2} to produce image triangle ΔA'B'C'.

Since, dilation is a rigid transformation,

Angles of both the triangles will be unchanged or congruent.

m∠A = m∠A' and m∠B = m∠B'

Since, sides of ΔA'B'C' = \frac{1}{2} of the sides of ΔABC

Area of ΔA'B'C' = \frac{1}{2}(\text{Area of triangle ABC})

Area of ΔABC > Area of ΔA'B'C'

Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.

ΔABC ~ ΔA'B'C'

Therefore, Option (3) and Option (6) are the correct options.

3 0
2 years ago
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