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harkovskaia [24]

2 years ago

6

1)A fish tank has a volume of 520 in. it is emptied at a constant rate of 10 cubic inches every minute. Which equation represent

s the volume v,after t, time in minutes

1 answer:

disa [49]2 years ago

4 0

Answer:

v=520 -10t

Step-by-step explanation:

the rate of decrease is given a variable to calculate the rate of change. v is represented by 520 - the number of minutes.

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There are a lot of chickens and sheep in uncle Ben`s Farm, but he sadly forget how many he has now. Only thing he remembers, the

Jobisdone [24]

C+s=48
2c+4s=134 ⇒ c+2s=67

subtracting the equations, we get, s=67-48=19,
so, c=48-19=29

7 0

2 years ago

Read 2 more answers

If y varies directly as x and y = 21 when x = 5, find x when y = 42.

Lorico [155]

Answer: 10

<u>Step-by-step explanation:</u>

varies directly means: $\frac{y}{x} = k$

Step 1: solve for k ⇒ $\frac{21}{5} = k$

Step 2: plug in the given value and k to solve for the missing value: $\frac{42}{x} = \frac{21}{5}$

42(5) = 21(x)

$\frac{42(5)}{21} = \frac{21(x)}{21}$

2(5) = x

10 = x

5 0

2 years ago

Find the point, M, that divides segment AB into a ratio of 5:2 if A is at (1, 2) and B is at (8, 16).

d1i1m1o1n [39]

Since M divides segment AB into a ratio of 5:2, we can say that M is 5/(5+2) of the length of AB. Therefore 5/7 × AB.
distance of AB = d
5/7×(x2 - x1) for the x and 5/7×(y2 - y1) for the y
5/7×(8 - 1) = 5/7 (7) = 5 for the x
and 5/7×(16 - 2) = 5/7 (14) = 10 for the y
But remember the line AB starts at A (1, 2),
so add 1 to the x: 5+1 = 6
and add 2 to the y: 10+2 = 12
Therefore the point M lies exactly at...
A) (6, 12)

4 0

2 years ago

SOS if anyone could help that would be appreciated!!!❤️

Anastaziya [24]

Answer:

See below

Step-by-step explanation:

$2e)15-4x=10x+45$

Solve:

$15-4x=10x+45\\-4x-10x=45-15\\-14x=30\\ \boxed {x=-\dfrac{15}{7}}$ $3(x+1)=21$

Check:

$15-4 \left(-\dfrac{15}{7} \right)=10\left(-\dfrac{15}{7} \right)+45$

$15+\dfrac{60}{7} \right)=-\dfrac{150}{7} +45$

$\dfrac{210}{7} =30$

$30=30$

$3a) 3(x+1)=21$

Solve:

$3(x+1)=21\\3x+3=21\\3x=18\\x=6$

$3b) 2+3(x+1)=6x$

$2+3x+3=6x\\5=3x\\$

$x=\dfrac{5}{3}$

$3c) -2(2x-3)=-2$

Solve:

$-2(2x-3)=-2\\-4x+6=-2\\-4x=-8\\x=2$

3 0

2 years ago

Which expressions are equivalent to log4 (1/4x^2),

Vlada [557]

Step-by-step explanation:

2 log 4 (1/4i)

.....................

8 0

2 years ago