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GarryVolchara [31]
3 years ago
6

(m + 3)(m^2 + 4m +7)

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
5 0
6m−3=4m+7 is the answer
Grace [21]3 years ago
4 0

Answer:

Use the distributive property to distribute m and 3

m^{3} + 4m^{2} +7m + 3m^{2} + 12m + 21            

once you distribute, combine like terms

this is your final answer once you combine:

  m^{3} + 7m^{2} + 19m + 21

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A chef planning for a large banquet , thinks that 2 out of every 5 dinner guests will order his soup appetizer. He expects 800 g
makkiz [27]

Answer:

320 cups of soup

Step-by-step explanation:

Given;

Total number of guests expected T = 800

Proportion of that may order soup p = 2 out of 5 = 2/5

The number of cups he should prepare should be equal to the number of guests that are expected to order soup appetizer.

Number of guests Expected to order soup appetizer n is;

n = proportion × total guest = p × T

Substituting the given values;

n = 2/5 × 800 = 320

Therefore, he should prepare 320 cups of soup.

5 0
3 years ago
A store decreases the price of a sofa by 16% this month only, to $5200. What was the price before the
zheka24 [161]

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Answer:

  $6190.48

Step-by-step explanation:

The price is now 1 -16% = 84% of the original price (p).

 $5200 = 0.84p

  p = $5200/0.84 = $6190.48

The price before the discount was $6190.48.

3 0
3 years ago
Use the diagram to find lengths. BP is the perpendicular bisector of AC. QC is the
faust18 [17]

Answer:

The length of the side PC is 34 cm.

Step-by-step explanation:

We are given that BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.

Suppose BP = 16 cm and AD = 90 cm.

As, it is given that AD = 90 cm and the three sides AB = BC = CD.

From the figure it is clear that AD = AB + BC + CD

So, AB = \frac{90}{3} = 30 cm

BC = \frac{90}{3} = 30 cm

CD = \frac{90}{3} = 30 cm

Since the triangle, BPC is a right-angled triangle as \anglePBC = 90°, so we can use Pythagoras theorem in this triangle to find the length of the side PC.

Now, the Pythagoras theorem states that;

\text{Hypotenuse}^{2} = \text{Perpendicular}^{2} +\text{Base}^{2}

\text{PC}^{2} = \text{BP}^{2} +\text{BC}^{2}

\text{PC}^{2} = \text{16}^{2} +\text{30}^{2}

\text{PC}^{2} = 256+900 = 1156

\text{PC}=\sqrt{1156}

PC = 34 cm

Hence, the length of the side PC is 34 cm.

4 0
3 years ago
What expression is equivalent to x2 - 49
melisa1 [442]

Answer:

x^2 - 49= (x+7) (x -7)

Step-by-step explanation:

7 0
3 years ago
What was darios hourly wage ¿
Stella [2.4K]

Answer:

$12 per hour

Step-by-step explanation:

On the graph it shows he earned $24 in 2 hours, so divide how much he earned by two to get the amount he earned in just one.

7 0
3 years ago
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