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ICE Princess25 [194]
2 years ago
12

Johanna, Elizabeth, and Dan are preparing a chemical solution for a research project. When

Mathematics
1 answer:
Bond [772]2 years ago
8 0

Using the together rate, it is found that they would prepare the solution in 1.71 minutes working together.

<h3>What is the together rate?</h3>

It is the sum of each separate rate.

In this problem, the rates are given by:

  • Johanna's: 1/6.
  • Elizabeth's: 1/6.
  • Dan's: 1/4.

Hence the together rate is given by:

\frac{1}{x} = \frac{1}{6} + \frac{1}{6} + \frac{1}{4}

\frac{1}{x} = \frac{1}{3} + \frac{1}{4}

\frac{1}{x} = \frac{4 + 3}{12}

7x = 12

x = 12/7

x = 1.71.

They would prepare the solution in 1.71 minutes working together.

More can be learned about the together rate at brainly.com/question/25159431

#SPJ1

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Camila and her children went into a bakery and she bought $35 worth of cupcakes and brownies. Each cupcake costs $3.75 and each
Mashcka [7]

Answer: The system of equations are

x + y = 10

3.75x + 2.5y = 35

Step-by-step explanation:

Let x represent the number of cupcakes that Camila bought.

Let y represent the number of brownies that Camila bought.

She bought a total of 10 cupcakes and brownies altogether. This would be expressed as

x + y = 10

Camila and her children went into a bakery and she bought $35 worth of cupcakes and brownies. Each cupcake costs $3.75 and each brownie costs $2.50. This would be expressed as

3.75x + 2.5y = 35

5 0
3 years ago
Read 2 more answers
A cube with sides 5 inches, and a pyramid with base edges 5 inches. What is the height, so that the volume of the cube and the p
Ostrovityanka [42]

<u>1</u><u>5</u><u> </u><u>inches</u> is the height of the pyramid

Step-by-step explanation:

The volume of a cube is a³

Given <em>a</em> = 5 inches

→ Volume = a³

= 5³

= 5×5×5

= <u>125 in²</u>

The volume of a pyramid is \frac{1}{3} {a}^{2}h

Given a = 5 inches , h = height of pyramid

=  >  \frac{1}{3} {a}^{2} h

=  >  \frac{1}{3}(5)^{2}h

=  >  \frac{1}{3} \times 25 \times h

=  >  \frac{25}{3}h

then,

125 =  \frac{25h}{3}

=  > 25h = 125 \times 3

=  > 25h = 375

=  > h =  \frac{375}{25}

=  > h = 15

Hence, the height of pyramid is <u>1</u><u>5</u><u> </u><u>inches</u>

7 0
2 years ago
Option D) 56.5<br> Please he I need to pass this unit test
galina1969 [7]
The formula is s = r * angle
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s = 6 * 3* 3.14/4
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4 0
3 years ago
Would you rather buy one 8-lb container of ice cream for $24.56, or two 3-lb 11-oz containers of ice cream for $23.60?
krok68 [10]

Answer:3-lb 11-oz containers of ice cream for $23.60

Step-by-step explanation:

5 0
3 years ago
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What does x equal in -7=-1+x/3
Scorpion4ik [409]

Hello! :)

To solve your equation, we will first simplify both sides of the equation

-7 = -1 + x/3

-7 = -1 + 1/3x

-7 = 1/3x - 1

Next, we will flip the equation

1/3x - 1 = -7

Third, we will add 1 to both sides

1/3x - 1 + 1 = -7 + 1

1/3x = -6

Last, we will Multiply both sides by 3

3 * (1/3x) = (3) * (-6)

x = -18 (ANSWER)

That means -18 is you answer

Hope this helped you!

THEDIPER

3 0
3 years ago
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