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Anna [14]
2 years ago
5

Describe and correct any error a student may have made when solving the equation

Mathematics
1 answer:
Lady_Fox [76]2 years ago
6 0

Answer:

The student made an error during the distributive property in the second step where they multiplied 0.15 by -0.2 to equal -0.3 when it should have been -0.03.

Step-by-step explanation:

0.15(y-0.2)=2-0.5(1-y)\\0.15y-0.03=2-0.5+0.5y\\0.15y-0.03=1.5+0.5y\\100(0.15y-0.03)=100(1.5+0.5y)\\15y-3=150+50y\\15y-3-15y-150=150+50y-15y-150\\-153=35y\\-\frac{153}{35}=y

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The length of a rectangle is 5 centimeters less than twice it’s width. The perimeter of the rectangle is 80 cm. What are the dim
algol [13]
<h3><u>The length is equal to 25.</u></h3><h3><u>The width is equal to 15.</u></h3>

l = 2w - 5

2l + 2w = 80

We have a value for l, so we can plug it into the second equation to solve for w.

2(2w - 5) + 2w = 80

Distributive property.

4w - 10 + 2w = 80

Combine like terms.

6w - 10 = 80

Add 10 to both sides.

6w = 90

Divide both sides by 6.

w = 15

Now that we have a value for w, we can plug it into the original equation to solve for l.

l = 2(15) - 5

l = 30 - 5

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3 0
3 years ago
Simplify and Show all of your work please!
Fudgin [204]

Answer:

\Huge \boxed{\mathrm{9}}

Step-by-step explanation:

\Rightarrow \displaystyle \frac{18 \div 2 *  3}{5-2}

Dividing first.

\Rightarrow \displaystyle \frac{9 *  3}{5-2}

Multiplying and subtracting.

\Rightarrow \displaystyle \frac{27}{3}

Division.

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7 0
3 years ago
Sammy wants to deposit into a 7% annual simple interest account she will also deposit twice as much in a certificate of deposit
antiseptic1488 [7]

Answer: $2294 should be invested in the simple interest account while $4588 should be invested in the certificate of deposit.

Step-by-step explanation:

Let x represent the amount that he would deposit in the simple interest account.

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y = 2x

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Interest from the certificate of deposit account would be 5%. This mean that the interest would be 5/100 × y = $0.05y.

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0.07x + 0.05 × 2x = 390

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0.17x = 390

x = 390/0.17 = $2294

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y = 4588

4 0
2 years ago
3<br> 50%<br> Draw angle ABC of size 65º.<br> A-<br> B<br> X+
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65* It is drawn with a round ruller...

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