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2 years ago

15 yards to 18 yards

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

3 0

Answer:

15 to 18, if your meaning what's in between that is 3 yards

Step-by-step explanation:

15| 16,17,18 |

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joe has a handful of dimes and quarters that values to $5.30. He has one fewer than twice as many dimes than quarters. How many

OlgaM077 [116]

Answer:

12 quarters 23 dimes

Step-by-step explanation:

x(0.25)+(2x-1)(0.10)=5.30

0.25x+0.2x-0.10=5.30

0.45x=5.40

x=12

12 quarters

12(2)=24-1=23 dimes

5 0

1 year ago

A tank initially contains 60 gallons of brine, with 30 pounds of salt in solution. Pure water runs into the tank at 3 gallons pe

adoni [48]

Answer:

the amount of time until 23 pounds of salt remain in the tank is 0.088 minutes.

Step-by-step explanation:

The variation of the concentration of salt can be expressed as:

$\frac{dC}{dt}=Ci*Qi-Co*Qo$

being

C1: the concentration of salt in the inflow

Qi: the flow entering the tank

C2: the concentration leaving the tank (the same concentration that is in every part of the tank at that moment)

Qo: the flow going out of the tank.

With no salt in the inflow (C1=0), the equation can be reduced to

$\frac{dC}{dt}=-Co*Qo$

Rearranging the equation, it becomes

$\frac{dC}{C}=-Qo*dt$

Integrating both sides

$\int\frac{dC}{C}=\int-Qo*dt\\ln(\abs{C})+x1=-Qo*t+x2\\ln(\abs{C})=-Qo*t+x\\C=exp^{-Qo*t+x}$

It is known that the concentration at t=0 is 30 pounds in 60 gallons, so C(0) is 0.5 pounds/gallon.

$C(0)=exp^{-Qo*0+x}=0.5\\exp^{x} =0.5\\x=ln(0.5)=-0.693\\$

The final equation for the concentration of salt at any given time is

$C=exp^{-3*t-0.693}$

To answer how long it will be until there are 23 pounds of salt in the tank, we can use the last equation:

$C=exp^{-3*t-0.693}\\(23/60)=exp^{-3*t-0.693}\\ln(23/60)=-3*t-0.693\\t=-\frac{ln(23/60)+0.693}{3}=-\frac{-0.959+0.693}{3}= -\frac{-0.266}{3}=0.088$

5 0

2 years ago

Does y = 2x + 4 show direct variation?

Elza [17]

Answer:

Step-by-step explanation:

Direct variation is of the form

y = kx

This has a constant added

y = kx+b so it is not a direct variation

5 0

2 years ago

Read 2 more answers

Three vertices of a rectangle have coordinates (–3, 1), (7,1), and (7, –4). What are the coordinates of the fourth vertex of the

Vinil7 [7]

You have to match up the sides. So you have two x values of 7, and one of -3, so that suggest that the x value you're looking for is -3. You have two y-values of 1, and one of -4, so i'd say look for a negative four. My answer would be A. (-3,-4)

3 0

2 years ago

a term in an arithmetic sequence is 488. the first term of the sequence is 7 and the common difference is 13. find the term numb

lisabon 2012 [21]

Answer: the term number is 38

Step-by-step explanation:

Let the number of the term be x

The value of the xth term = 488

In an arithmetic sequence, the terms differ by a common difference, d. This means that the difference between two consecutive terms, d is constant.

The formula for the nth term is

Tn = a + (n-1)d

Where

Tn = the nth term of the arithmetic sequence

a = the first term of the arithmetic sequence.

d = common difference.

From the information given,

a = 7

d = 13

We are looking for the xth term.

Tx = 488 = 7 + (x-1)13

488 = 7 + 13x - 13

Collecting like terms on the left hand side and right hand side of the equation,

13x = 488 -7 + 13

13x = 494

x = 38

The value of the 38th term is 488.

5 0

3 years ago

15 yards to 18 yards​

15 yards to 18 yards