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Svetach [21]
3 years ago
8

Sharon tried to solve an equation step by step.

Mathematics
2 answers:
ASHA 777 [7]3 years ago
8 0

Answer:

Sharon made a mistake in step 2.

Step-by-step explanation:

Sharon tried to solve an equation step by step.

\qquad\begin{aligned} 9&=-3(e-2)\\\\ \\ 9&=-3e+6&\green{\text{Step } 1}\\\\ \\ 15&=3e&\blue{\text{Step } 2}\\\\ \\ 5&=e&\purple{\text{Step } 3}\\\\ \end{aligned}

The correct steps are:

The given equation is

9=-3(e-2)

Step 1: Using distributive property we get

9=-3e-3(-2)

9=-3e+6

Step 2: Subtract 6 from both sides.

9-6=-3e+6-6

3=-3e

Step 3: Divide both sides by -3.

\frac{3}{-3}=\frac{-3e}{-3}

-1=e

Therefore, Sharon made a mistake in step 2.

Pavel [41]3 years ago
4 0

Answer:

Step 2

Step-by-step explanation:

Khan academy inequalities 7th grade math unit test

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How many liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16%
Naily [24]

1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

For given question,

Let x be the quantity ( in liters ) of glycerin added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin,

Thus,

Quantity of glycerin in 12 liters + Quantity of glycerin in x

= Quantity of glycerin in resultant mixture.

⇒ 8% of 12 + 100% of x = 16% of (12 + x )

⇒ 0.08 × 12 + x = 0.16 × ( 12 + x )

⇒ 0.96 + x = 0.16 × 12 + 0.16x

⇒ 0.96 + x = 1.92 + 0.16x

⇒ x - 0.16x = 1.92 - 0.96

⇒ 0.84x = 0.96

⇒ x = 1.143 liters

Therefore, 1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

Learn more about the resulting solution here:

brainly.com/question/12051765

#SPJ4

7 0
2 years ago
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given informa
irinina [24]

Answer:

The correct answer is;

ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The given information are;

Segment TN is congruent ts segment EL

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Segment AN is congruent ts segment FL

Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency

One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.

Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency

7 0
3 years ago
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Aleks [24]
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3 years ago
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An athletics squad trains on a long straight track with dots marked at 10m intervals. The coach sets out cones on some of the do
Sedaia [141]

Answer:

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Step-by-step explanation:

The parameters given are

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