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kkurt [141]
3 years ago
14

Is there a proportional relationship? A salt water solution for and aquarium calls for 35 parts of salt to 1000 parts of water t

areq used a ratio of 7 parts of salt and 200 parts of water
Mathematics
1 answer:
morpeh [17]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

To check proportionality :

35 α 1000

35 = 1000k

k = constant of proportionality ;

Divide both sides by 1000 to obtain k

35 / 1000 = 1000k / 1000

0.035 = k

For the ratio Given :

Ratio of 7 parts of salt and 200 parts of water

7 : 200

7 / 200

= 0.035

Since,

k = 0.035 ; 7 / 200 = 0.035

Hence, a proportional relationship exists.

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A collection of dimes and nickels is worth $8.40 there are 106 coins how many of each are there
kotegsom [21]
There are 62 dimes and 44 nickels.

N + D = 106 (There are 106 coins in all.)
1 nickel = 5 cents.
1 dime = 10 cents.
5*N + 10*D = 840 ($8.40 = 840 cents)
N + D = 106 -------(1)
N = (106 - D)
5*N + 10*D = 840 ---------(2)
5*(106-D) + 10*D = 840
530 - 5*D + 10*D = 840
5*D = 840 - 530
5*D = 310
D = 310/5 = 62
Eq(1) N + D = 106
N + 62 = 106
N = 106 - 62
N = 44
7 0
3 years ago
A system of linear equations is given as x + 3y = 36 and 4x + 5y = 9. Which of the following is a possible first step when solvi
Nikitich [7]

Answer:

Rewrite the first equation as x = 36 – 3y.

Step-by-step explanation:

x + 3y = 36 (1)

4x + 5y = 9 (2)

Using substitution method

From (1)

x = 36 - 3y

Substitute x = 36 - 3y into (2)

4x + 5y = 9

4(36 - 3y) + 5y = 9

144 - 12y + 5y = 9

- 12y + 5y = 9 - 144

-7y = -135

y = -135 / -7

y = 19.3

There is an error with the second equation, 4x + 5y can not be equal to 9

Nevertheless, the first step when solving by substitution is:

Rewrite the first equation as

x = 36 – 3y.

4 0
3 years ago
Find the area of the circle. Round your answer to the nearest hundredth.
Free_Kalibri [48]

Answer:

If pi is used as pi 113.1

or

If 3.14 is used as pi 113.04

Step-by-step explanation:

A = pi(r)²

8 0
3 years ago
lo que es 40 x 21 dividido por 8 redondeado al décimo más cercano muestra el trabajo, así que sé que no solo usaste una calculad
Mars2501 [29]

Answer:

21

*40

<u>        </u>

     0

+840

<u>         </u>

840

    105  

8\sqrt{840}        

 -80

   <u>         </u>

       40

      -40

   <u>         </u>

         0

=105

<u>8 goes into 84 ten times, 84-80 =4</u>  

<u>Bring down the zero make 40 which 8 goes into five times</u>

<u></u>

Step-by-step explanation:

cant be round because there no tenths place

<h2>TRANSLATION</h2><h2> </h2><h3>8 entra en 84 diez veces, 84-80 = 4 </h3><h3> </h3><h3>Baje el cero, haga 40, en el que 8 entra cinco veces</h3><h3 /><h3>no puede ser redondo porque no hay décimos, asegúrese de poner los números correctos</h3>
3 0
3 years ago
What is 10+8+30x20 equal
Leviafan [203]
Using the Order of Operations, this simplifies to 10+8+600 because you multiply before adding. Then you would simply add up the remaining numbers, making it 618.
The answer is 618.

I hope this helps!
3 0
3 years ago
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