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juin [17]
3 years ago
6

Pearl bought 45 lbs of clay for her art projects. She used 15.8 lbs to make a sculpture, and 0.72 lbs for each mug. How many mug

s did Pearl make if she had 17.68 lbs of clay left over?
Mathematics
1 answer:
Gnoma [55]3 years ago
7 0

Answer:

16 mugs

Step-by-step explanation:

Total clay bought = 45 lbs

Clay used for sculpture = 15.8 lbs

Clay left over = 17.68 lbs

Clay used for each mug = 0.72 lbs

Number of mug = x

Total clay bought = Clay used for sculpture + Clay left over + (Clay used for each mug * Number of mug)

45 = 15.8 + 17.68 + (0.72 * x)

45 = 33.48 + 0.72x

45 - 33.48 = 0.72x

11.52 = 0.72x

x = 11.52/0.72

x = 16

Number of mug = x = 16 mugs

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Evelyn went shopping with half of her monthly allowance. She spent $39.95 on a dress and 3/7 of the remainder on some accessorie
Gnoma [55]

Answer:

Evelyn monthly allowance is $187.

Step-by-step explanation:

Let the monthly allowance be 'x'.

Given:

Money taken with for shopping = \frac{x}{2}

Money spent of dress = $39.95

Also Given:

3/7 of the remainder on some accessories.

Money spent on accessories is equal to \frac{3}{7} times Difference of monthly allowance and Money spent of dress.

framing in equation form we get;

Money spent on accessories = \frac{3}{7}\times(\frac{x}{2}-39.95)

Also Given:

Money left after shopping = $30.60

Now we know that;

Money taken with for shopping is equal to sum of Money spent of dress and Money spent on accessories and Money left after shopping.

framing in equation form we get;

\frac{x}{2}=39.95+\frac{3}{7}(\frac{x}{2}-39.95)+30.60\\\\\frac{x}{2}=39.95+\frac{3x}{14}- 17.12 +30.60

Combining like terms we get;

\frac{x}{2}-\frac{3x}{14}=39.95-17.12+30.60\\\\\frac{x}{2}-\frac{3x}{14}= 53.43

Now we will make denominator common using L.C.M

\frac{x\times 7}{2\times7}-\frac{3x\times1}{14\times1}= 53.43\\\\\frac{7x}{14}-\frac{3x}{14}= 53.43\\\\\frac{7x-3x}{14}=53.43\\\\\frac{4x}{14}=53.43\\\\4x=53.43\times14\\\\x= \frac{53.43\times14}{4} = \$187

Hence Evelyn monthly allowance is $187.

3 0
4 years ago
What is -1 26/100 in simplest form
Alla [95]

-63/50



I think this is what you mean by simplest fom


5 0
3 years ago
4.
Alenkinab [10]

The statements with their relation to 0 are:

  1. Oliver owes his sister $27. \to -27
  2. A building is 38 feet tall. \to 27
  3. Erica jumped 2.7 feet above ground. \to 2.7
  4. The scuba diver was 38 feet below sea level. \to -38
  5. The basement is 8.3 feet below ground. \to -8.3

Statements that represent positions above the sea level are illustrated using the positive sign, while positions below the sea level are represented using the negative sign.

The above highlights imply that the following statements would be represented with positive sign:

  • A building is 38 feet tall.
  • Erica jumped 2.7 feet above ground.

This is so, because height and positions above the ground are above the sea level

Also, the following statements would be represented with negative sign:

  1. Oliver owes his sister $27. \to -27  
  2. The scuba diver was 38 feet below sea level. \to -38
  3. The basement is 8.3 feet below ground. \to -8.3

This is so, because debt and positions below the ground are below the sea level

Read more about positions at:

brainly.com/question/4692136

4 0
3 years ago
The line for which equation has negative slope?
zhenek [66]

Answer:

B.

Step-by-step explanation:

To have a negative slope, <em>m</em> has to be negative. Any negative slope would show up as a negative coefficient in front of <em>x</em>.

3 0
4 years ago
Geometry checkpoint question
Dmitrij [34]

First blank : Distributive property

Second : Simplify

Third : Subtraction property of Equality

Fourth : Division property of Equality

6 0
3 years ago
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