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3 years ago

PLEASE HELP

Mathematics

1 answer:

Marta_Voda [28]3 years ago

5 0

Answer:

Volume (V), density (ρ), and mass (m) are related through the equation P=m/v

Rearranging the equation gives V=m/p

The jeweler held m constant by substituting an equal weight of silver, but did not consider how the density difference of the metals would change the volume. If density decreases, as in the case of replacing gold with silver, the volume must increase. The crown would grow in volume in this way based on the jeweler’s deceptive actions.

Step-by-step explanation:

I think this is the exact answer on PLATO

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Given that 3(x-c)=2x+5 where c is an integer, shoe that x cannot be a multiple of 6

olga nikolaevna [1]

Answer:

The explanation in the procedure

Step-by-step explanation:

we have

$3(x-c)=2x+5$

solve for c

$3x-3c=2x+5$

$3c=3x-2x-5$

$3c=x-5$

$c=(x-5)/3$

For $x=6$ -----> Find the value of c

$c=(6-5)/3=1/3$ ------> is not an integer

therefore

x cannot be a multiple of 6

7 0

3 years ago

Pleaseeeeeee help me with this question

DIA [1.3K]

A is the correct answer

8 0

3 years ago

A Broadway theater has 800 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 40 comma main

KatRina [158]

Answer:

orchestra seats: main seats: balcony seats: 160: 400: 240

Step-by-step explanation:

Let number of orchestra seats = x

Let number of main seats = y

Let number of balcony seats = z

As per given statement, total seats are 800

$x +y+z=800 ..... (1)$

Sales price of each orchestra seat = $40

Sales price of each main seat = $30

Sales price of each balcony seat = $20

If all the seats are sold, total revenue is $23200.

$\Rightarrow 40x + 30y+20z=23200 ...... (2)$

If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000.

$\Rightarrow 40\times \dfrac{x}{2} + 30y+20z=20000\\\Rightarrow 20x + 30y+20z=20000 ...... (3)$

Here, we have 3 variables and 3 equations. Let us solve them.

Subtracting Equation (3) from equation (2):

$\Rightarrow 20x = 3200\\\Rightarrow x = 160$

Putting value of x in equations (1) and (2):

Equation (1)

$\Rightarrow 160 +y+z=800\\\Rightarrow y+z=640 ...... (4)$

Equation (2)

$\Rightarrow 40\times 160 +30y+20z=23200\\\Rightarrow 30y+20z=16800\\\Rightarrow 3y +2z=1680 ...... (5)$

Equation (5) - 2 $\times$ Equation(4):

$\Rightarrow y =400$

Putting value of y in equation (4):

$400 +z = 640\\\Rightarrow z =240$

Hence, answer is:

orchestra seats: main seats: balcony seats: 160: 400: 240

4 0

3 years ago

Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp..........

scoundrel [369]

Answer:

Step-by-step explanation:

because it k keep going up 4 like 4 8 12

8 0

3 years ago

In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s

MaRussiya [10]

Answer:

The mentioned number in the exercise is:

362

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

x = hundredths digit
y = tens digit
z = ones digit

We can write:

x = z + 1 (the hundreds digit is one more than the ones digit).
y = 2x (the tens digit is twice the hundreds digit).
x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

x + y + z = 11
(z + 1) + y + z = 11 (remember x = z + 1)
z + 1 + y + z = 11
z + z +y + 1 = 11 (we just ordered the equation)
2z + y + 1 = 11 (z + z = 2z)
2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
2z + y = 10
2z + (2x) = 10 (remember y = 2x)
2z + 2x = 10
2z + 2(z + 1) = 10 (x = z + 1 again)
2z + 2z + 2 = 10
4z + 2 = 10
4z = 10 - 2
4z = 8
z = 8/4
z = 2

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

x = z + 1
x = 2 + 1
x = 3

And we'll use the second equation to obtain the value of y (the tens digit):

y = 2x
y = 2(3)
y = 6

Organizing the digits, we obtain the number:

Number = xyz
Number = 362

As you can see, the obtained number is 362.

8 0

3 years ago