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saveliy_v [14]
3 years ago
6

Bird seed is four dollars a bag of you buy two bags how much change will you get from ten dollar

Mathematics
1 answer:
Paraphin [41]3 years ago
4 0

Answer:

Step-by-step explanation:

2 $4 bags = $8

$10 - $8 = $2 change

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Solve for x<br><br> (picture is included below)
Anna11 [10]

Solve for x:

1.

4x - 7 = 3

Add 7 to both sides

4x = 10

Divide both sides by 4

x = 10/4

Simplify:

x = 5/2

Answer for question 1: x = 5/2

2.

13 + 2x/3 = 15

Multiply both sides by 3

39 + 2x = 45

Subtract 39 from both sides

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Divide both sides by 2

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Answer for question 2: x = 3

3.

10x + 7 = 15

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8 0
2 years ago
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Solve for y: 1/3y+7≥12<br><br> A) y ≤ 5/3<br> B) y ≥ 15<br> C) y ≤ 5<br> D) y ≥ 57
Klio2033 [76]

Answer:

B) y ≥ 15

Step-by-step explanation:

6 0
3 years ago
Pumping stations deliver oil at the rate modeled by the function D, given by d of t equals the quotient of 5 times t and the qua
goblinko [34]
<h2>Hello!</h2>

The answer is:  There is a total of 5.797 gallons pumped during the given period.

<h2>Why?</h2>

To solve this equation, we need to integrate the function at the given period (from t=0 to t=4)

The given function is:

D(t)=\frac{5t}{1+3t}

So, the integral will be:

\int\limits^4_0 {\frac{5t}{1+3t}} \ dx

So, integrating we have:

\int\limits^4_0 {\frac{5t}{1+3t}} \ dt=5\int\limits^4_0 {\frac{t}{1+3t}} \ dx

Performing a change of variable, we have:

1+t=u\\du=1+3t=3dt\\x=\frac{u-1}{3}

Then, substituting, we have:

\frac{5}{3}*\frac{1}{3}\int\limits^4_0 {\frac{u-1}{u}} \ du=\frac{5}{9} \int\limits^4_0 {\frac{u-1}{u}} \ du\\\\\frac{5}{9} \int\limits^4_0 {\frac{u-1}{u}} \ du=\frac{5}{9} \int\limits^4_0 {\frac{u}{u} -\frac{1}{u } \ du

\frac{5}{9} \int\limits^4_0 {(\frac{u}{u} -\frac{1}{u } )\ du=\frac{5}{9} \int\limits^4_0 {(1 -\frac{1}{u } )

\frac{5}{9} \int\limits^4_0 {(1 -\frac{1}{u })\ du=\frac{5}{9} \int\limits^4_0 {(1 )\ du- \frac{5}{9} \int\limits^4_0 {(\frac{1}{u })\ du

\frac{5}{9} \int\limits^4_0 {(1 )\ du- \frac{5}{9} \int\limits^4_0 {(\frac{1}{u })\ du=\frac{5}{9} (u-lnu)/[0,4]

Reverting the change of variable, we have:

\frac{5}{9} (u-lnu)/[0,4]=\frac{5}{9}((1+3t)-ln(1+3t))/[0,4]

Then, evaluating we have:

\frac{5}{9}((1+3t)-ln(1+3t))[0,4]=(\frac{5}{9}((1+3(4)-ln(1+3(4)))-(\frac{5}{9}((1+3(0)-ln(1+3(0)))=\frac{5}{9}(10.435)-\frac{5}{9}(1)=5.797

So, there is a total of 5.797 gallons pumped during the given period.

Have a nice day!

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