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Veronika [31]
2 years ago
6

Nico dropped the brand new bottle of dog shampoo and 3 ounce spilled out. He measured 1 1/4 ounces each time he shampoos his dog

and the bottle of shampoo originally contained 30 1/2 ounces. What is an equation and value of x the number of times Nico can bathe his dog using this one bottle
Mathematics
2 answers:
GalinKa [24]2 years ago
7 0

Answer:

equation ( 1.25x = 27.5 ) and x = 22.

Step-by-step explanation:

Shampoo bottle contains shampoo = 30\frac{1}{2} ounces = 30.5 ounces

If 3 ounces spilled out the remaining amount of shampoo = ( 30.5 - 3 ) = 27.5 ounces.

Every time he shampoos his dog, amount of shampoo required = 1\frac{1}{4} ounces = 1.25 ounce

If x is the number of times Nico can bathe his dog using the same bottle of shampoo then total amount used = (1.25) (x) ounces

Now remaining amount of shampoo = ttal amount used to shampoo the dog

(27.5) = (1.25x)

x= \frac{27.5}{1.25}  = 22 times

So answer will be equation ( 1.25x = 27.5 ) and x = 22.

Ksju [112]2 years ago
4 0

Answer:

30 1/2 - 3 = 27 1/2

27 1/2 = 1 1/4x

he can bathe his dog 22 times

Step-by-step explanation:

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Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the so
Georgia [21]
In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution 


We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ +  v₂c₂
40(0.32) = 10(0.2) + 30c
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2 years ago
What is an equivalent expression for 1.5(3x + 4) + 0.25(6x + 8)?
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1.5(3x+4)+0.25(6x+8)
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World wind energy generating1 capacity, W , was 371 gigawatts by the end of 2014 and has been increasing at a continuous rate of
Sunny_sXe [5.5K]

Answer:

a) W(t) = 371(1.168)^{t}

b) Wind capacity will pass 600 gigawatts during the year 2018

Step-by-step explanation:

The world wind energy generating capacity can be modeled by the following function

W(t) = W(0)(1+r)^{t}

In which W(t) is the wind energy generating capacity in t years after 2014, W(0) is the capacity in 2014 and r is the growth rate, as a decimal.

371 gigawatts by the end of 2014 and has been increasing at a continuous rate of approximately 16.8%.

This means that

W(0) = 371, r = 0.168

(a) Give a formula for W , in gigawatts, as a function of time, t , in years since the end of 2014 . W= gigawatts

W(t) = W(0)(1+r)^{t}

W(t) = 371(1+0.168)^{t}

W(t) = 371(1.168)^{t}

(b) When is wind capacity predicted to pass 600 gigawatts? Wind capacity will pass 600 gigawatts during the year?

This is t years after the end of 2014, in which t found when W(t) = 600. So

W(t) = 371(1.168)^{t}

600 = 371(1.168)^{t}

(1.168)^{t} = \frac{600}{371}

(1.168)^{t} = 1.61725

We have that:

\log{a^{t}} = t\log{a}

So we apply log to both sides of the equality

\log{(1.168)^{t}} = \log{1.61725}

t\log{1.168} = 0.2088

0.0674t = 0.2088

t = \frac{0.2088}{0.0674}

t = 3.1

It will happen 3.1 years after the end of 2014, so during the year of 2018.

7 0
2 years ago
What is the 46th term in the arithmetic sequence? -1.5,-1.3, -1.1,-0.9...?
schepotkina [342]

Answer:

a(46) = -1.5 + 0.2(45) = -1.5 + 9 = 7.5

Step-by-step explanation:

Each term of this sequence is 0.2 greater than the previous term.  The formula for this arithmetic sequence is

a(n) = -1.5 + 0.2(n - 1)

and so the 46th term is:

a(46) = -1.5 + 0.2(45) = -1.5 + 9 = 7.5

5 0
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