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madam [21]
3 years ago
14

After dinner 2/3 of a pan of lasagna is left. The hole pan of Lasagna was originally cut in into pieces that were each 1/6 of th

e pan.which equation represents the number of pieces of lasagna that are left after dinner
Mathematics
1 answer:
Paraphin [41]3 years ago
8 0

Answer:

An equation represents the number of pieces of lasagna that are left after dinner is \frac{1}{6}x=\frac{2}{3}

Step-by-step explanation:

Each piece of Lasagna is 1/6 of the pan

Let x be the number of pieces left

So, x pieces is \frac{1}{6}x of the pan

We are given that After dinner 2/3 of a pan of lasagna is left.

So, \frac{1}{6}x=\frac{2}{3}

x=\frac{2}{3} \times 6

x=4

So, Number of pieces left = 4

Hence An equation represents the number of pieces of lasagna that are left after dinner is \frac{1}{6}x=\frac{2}{3}

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Step-by-step explanation:

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4 0
2 years ago
Which expressions are polynomials? Select each correct answer.
lilavasa [31]
Here's an example

<span>Simplify by collecting like terms: 4(<span>x2y  </span>+ 7y) – 5y(3<span>x2 </span>– y) – 10y</span>

 

<span>A) −11x2y + 5<span>y2 </span>+ 18y</span>

 

<span>B) 4<span>x2y + </span>11y – 8<span>yx2 – </span>16y</span>

 

<span>C) 4<span>x2y + </span>18y – 15<span>yx2 + </span>5<span>y2</span></span>

 

<span>D) 4<span>x2y </span>– 5y(3<span>x2 </span>– y) – 3y</span>

 

<span>A) −11x2y + 5<span>y2 </span>+ 18y </span>

<span>Correct. 4(<span>x2y  </span>+ 7y) – 5<span>y(3x2 </span>– y) – 10y = 4<span>x2y + </span>28y – 15<span>yx2</span> + 5<span>y2 – </span>10y = 4<span>x2y + </span>18y – 15<span>yx2</span> + 5<span>y2 </span>= −11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>B) 4<span>x2y + </span>11y – 8<span>yx2 – </span>16y </span>

<span>Incorrect. The 4 is distributed to both terms in the parentheses by multiplying each term by 4 resulting in 28y, not 11y. The −5y is similarly distributed to each term in the parentheses, resulting in −15<span>yx2 + </span>5<span>y2. </span>The correct answer is −11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>C) 4<span>x2y + </span>18y – 15<span>yx2 + </span>5<span>y2</span></span>

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−<span>11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>D) 4<span>x2y </span>– 5y(3<span>x2 </span>– y) – 3y </span>

<span>Incorrect. Before combining like terms, you must distribute to clear the parentheses. The correct answer is −11x2y + 5<span>y2 </span>+ 18y.</span>

 

 


8 0
3 years ago
Please answer quickly Thank You
Nina [5.8K]

Answer:

A. $ 46

B. 12 people.

Step-by-step explanation:

From the question given above, we obtained the following:

C(x) = 6.5x + 20

Where:

C => total cost of bowling

x => number of people

A. Determination of the of bowling for 4 people.

Number of people (x) = 4

Total cost (C) of bowling =?

C(x) = 6.5x + 20

C(4) = 6.5(4) + 20

C(4) = 26 + 20

C(4) = $ 46

Thus, it will cost $ 46 for 4 people to bowl

B. Determination of the number of people that can bowl for $ 98.

Total cost (C) of bowling = $ 98

Number of people (x) =?

C(x) = 6.5x + 20

98 = 6.5x + 20

Collect like terms

98 – 20 = 6.5x

78 = 6.5x

Divide both side by 6.5

x = 78 / 6.5

x = 12

Thus, 12 people can bowl for $ 98.

3 0
2 years ago
Which of the following expressions “ the sum of n and the sum of n and 6 ?
faltersainse [42]

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3 0
3 years ago
Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo
MAXImum [283]

Answer:

<h3><em>D. 880 = 45d + 70; 18 days.</em></h3>

Step-by-step explanation:

We are given fixed monthly charge = $70.

The cost of preschool per day = $45.

Number of days = d.

Total cost of d days = cost per day × number of days + fixed monthly charge.

Therefore, we get equation

880 = 45×d+70

<h3>880 = 45d +70.</h3>

Now, we need to solve the equation for d.

Subtracting 70 from both sides, we get

880-70 = 45d +70-70

810=45d

Dividing both sides by 45, we get

\frac{810}{45} =\frac{45d}{45}

18=d.

Therefore,<em> 18 days Barry attended preschool last month.</em>

<em>Therefore, correct option is D option.</em>

<h3><em>D. 880 = 45d + 70; 18 days.</em></h3>
4 0
2 years ago
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