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DiKsa [7]
3 years ago
14

WILL GIVE BRAINLIEST!!!!!! (25 points) Melissa and Emily are playing at the pool.They have three different measuring jars for; l

iters, cups, and pints. They find that 7 cups of water and 3 liters of water filled 9.8 pints. Later, they find that if they start with 5 liters of water and remove 9 cups of water, they end up with 6 pints of water. Model the given two situations as a system of linear equations. Based on your equations, determine the relationship between;
●cups and liters,
●cups and pints,
●and pints and liters.
Show all your work and submit your work along with the resulting relationships.
Mathematics
1 answer:
timama [110]3 years ago
7 0

Answer:

7 cups + 3 litres = 9.8 pints

⇒ Equation 1

5 litres - 9 cups = 6 pints

⇒ Equation 2

Relationship between cups and

Rearranging equation 1 to make pints the subject

⇒ substitute this into Equation 2

Hence, 1 litre = 2.1 cups

Relationship between cups and pints

Rearrange equation 1 to make litres the subject

⇒ Substituting this into Equation 2

Hence, 1 pint = 2 cups

Relationship between pints and liter

Rearranging equation 1 to make cup the subject

⇒ subsitute this into equation 2

Hence, 1 liter = 2.1 pints

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EASY— get marked brainliest!!!
Ilya [14]

Answer:

y≥1/2 x +1

Step-by-step explanation:

first the line in the graph is bold and not dotted

so the sign is either ≤ or≥

the shaded area is on the top , on this case it is greater than

the right answer is y≥1/2 x +1

7 0
3 years ago
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bo
Furkat [3]

Answer: B

Step-by-step explanation:

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. Since the machines are identical and running at the same constant rate, it means each of them as the same rate. The rate of each machine can produce would be determined by dividing the combined unit rate by 6. It becomes

270/6 = 45 bottles per minutes

The rate for 10 machines running at the same constant rate would be

10 × 45 = 450 bottles per minutes.

If the 10 machines produce 450 bottles per minutes, then,

In 4 minutes, the 10 machines will produce 4 × 450 = 1800 bottles

4 0
3 years ago
You plan to accumulate 100,000 at the end of 42 years by making the follow-
Mariana [72]

Answer:

  Y = 479.17

Step-by-step explanation:

At the end of year 14, the balance from the deposits of X can be found using the annuity due formula:

  A = P(1+r/n)((1 +r/n)^(nt) -1)/(r/n)

where P is the periodic payment, n is the number of payments and compoundings per year, t is the number of years, and r is the annual interest rate.

  A = X(1.07)(1.07^14 -1)/0.07 ≈ 24.129022X

This accumulated amount continues to earn interest for the next 28 years, so will further be multiplied by 1.07^28. Then the final balance due to deposits of X will be ...

  Ax = (24.129022X)(1.07^28) = 160.429967X

__

The same annuity due formula can be used for the deposits of Y for the last 10 years of the interval:

  Ay = Y(1.07)(1.07^10 -1)/.07 = 14.783599Y

__

Now we can write the two equations in the two unknowns:

  Ax +Ay = 100,000

  X - Y = 100

From the latter, we have ...

  X = Y +100

So the first equation becomes ...

  160.429967(Y +100) +14.783599Y = 100000

  175.213566Y +16,043.00 = 100,000

  Y = (100,000 -16,043)/175.213566 ≈ 479.17

Y is 479.17

7 0
3 years ago
Find the residual if you know the actual number is 3 and the predicted value is 1.6
IgorC [24]

Answer:

The correct option is A.

Step-by-step explanation:

The difference between actual value and predicted value is called residual.

Formula of residual is

e=y-\hat{y}

Where, y is observed value or actual value and \hat{y} is predicted value.

e=3-1.6

e=1.4

The value of residual is 1.4 and option A is correct.

5 0
3 years ago
Please answer!!!!!!!!!
motikmotik

Answer:

D) 24x = 9 x 16

Step-by-step explanation:

When you think about it,  9 times 16 = 144. 144/24 = 6.

3 0
3 years ago
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