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KonstantinChe [14]
3 years ago
15

Dante is showing his steps to solve the expression −17.8 ÷ 1 over 6. In which step did Dante make an error? Step 1: −17.8 ÷ 1 ov

er 6 Step 2: 17.8 ⋅ 6 Step 3: 106.8
Mathematics
2 answers:
Basile [38]3 years ago
8 0
(-17.8) / (1/6)....when dividing with fractions, flip what u r dividing by, then multiply

-17.8 * 6 = - 106.8

mistake made in Line 2.....Dante forgot the negative sign in front of 17.8
Gala2k [10]3 years ago
5 0

Answer:

Dante made an error in step 2.

Step-by-step explanation:

The given expression is −17.8 ÷ 1 over 6.

In step 1, we change the division sign to multiplication sign. For this we use the below rule

\frac{a}{b} ÷\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}

Using this rule, we have the second step as shown below

-17.8]times6

Now, finally we multiply and get

-106.8

Therefore, Dante made an error in second step. He forgot to include the negative sign.

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Answer:

-40

Step-by-step explanation:

f/5 = -8

5 x f/5 = -8 x 5

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3 years ago
Please answer ASAP and if you do you will get Brainliest. Catherine buys a gallon of ice cream from the store. After taking it h
rodikova [14]

Answer:

Catherine's sister ate 2/15 gallons of the ice cream.

\displaystyle \frac{2}{15}.

Step-by-step explanation:

Let x be the amount of ice cream that Catherine's sister ate, in gallons.

  • Original amount: 1 gallon.
  • What Catherine ate: \displaystyle \frac{1}{5} gallons.
  • What Catherine's sister ate is assumed to be x gallons.
  • What's left: \displaystyle \frac{2}{3} gallons.

Consider the relationship:

\text{Original amount - What Catherine ate - What Catherine's Sister ate}\\ =\text{ What's left.}.

That is:

\displaystyle 1- \frac{1}{5} - x = \frac{2}{3}.

Add x to both sides of this equation:

\displaystyle 1 - \frac{1}{5} = \frac{2}{3} +x

Substract \displaystyle \frac{2}{3} from both sides:

\displaystyle 1 - \frac{1}{5} - \frac{2}{3} = x.

Convert the denominator of all three numbers on the left-hand side to 3 \times 5 = 15

\displaystyle \frac{15}{15} - \frac{3}{15} - \frac{10}{15} = x.

\displaystyle x = \frac{2}{15}.

In other words, Catherine's sister ate \displaystyle \frac{2}{15} gallons of the ice cream.

3 0
3 years ago
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To wash a window that is 4 meters off the ground, Rafi leans a 5-meter ladder against the side of the building. To reach the win
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Answer:

Base of the ladder is 3 meters away from the building.

Step-by-step explanation:

Let's use Pythagoras theorem to solve.

Pythagoras theorem says,

a^{2} +b^{2} =c^{2}

Here let horizontal distance is "a''

Vertical distance of window is 4 m

So, b=4

The Rafi leans 5 m ladder against the wall. So, c=5.

a^{2} +4^{2} =5^{2}

Simplify it

a^{2} +16=25

Subtract both sides 16

a^{2} =9

Take square root on both sides

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So, base of the ladder is 3 meters away from the building.

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Answer:

Find 2 points on an exact coordinate.

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Step-by-step explanation:

Hope this helps.

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dsp73

Answer:

Addition property

Step-by-step explanation:

Given the inequality:

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The step to take here to move 9 to the other side, is to perform the addition property by adding 9 to both sides.

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