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fomenos
3 years ago
12

Write an expression that can be used to multiply 6x198 mentally

Mathematics
2 answers:
RoseWind [281]3 years ago
8 0
 Do a mental sum for 6 x 200 (1200) then subtract 6<span>x 2 (12) to give you 1188.</span>
vagabundo [1.1K]3 years ago
7 0
(6x100)+(6x90)+(6x8)

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the Royal fruit company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is a 45%
AlexFokin [52]

We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.

Now we have to make 30 pints of a mixture that is 35% pure.

Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.

So, x+y=30 (Equation 1)

Since, 20% of x + 45% of y = 35.3% of 30

\frac{x}{5}+\frac{9y}{20}=10.5 (Equation 2)

Solving equations 1 and 2,

we get y=18 and x=12.

So, 12 pints of first type of juice and 18 pints of second type of juice are used.

6 0
3 years ago
The owner of a convenience store keeps track of how many customer buy lunch food during the "noon rush" each day for four days a
alexdok [17]

Answer:

c) 62.

Step-by-step explanation:

Let x represent number of customers came in on the fifth day.

We have been given that the mean number of customers for those four days is 52. So total number of customers on 4 days would be 4 times 52 that is 208 customers.

We know that mean of a data set is equal to sum of all data points divided by number of data points.

Total number of customers on 5 days would be 208+x and total number of days is 5.

Since we need a mean of 54, so we can set mean of 5 days equal to 54 as:

\frac{208+x}{5}=54

Multiply both sides by 5:

\frac{208+x}{5}*5=54*5

208+x=270

208-208+x=270-208

x=62

Therefore, 62 customers must come in on the fifth day to make the five-day mean 54 and option 'c' is the correct choice.

4 0
3 years ago
What kind of triangle is this?
Talja [164]
Obtuse angle................................
7 0
3 years ago
Read 2 more answers
2 feet to 2 yards ratio
vredina [299]

Answer:

\frac{1}{3}

Step-by-step explanation:

Three feet make a yard, so 2 yards is 6 feet

\frac{2}{6}  If we divide the top (numerator) and the bottom (denominator) by 2 we get

\frac{2}{6} ÷ \frac{2}{2} = \frac{1}{3}

8 0
1 year ago
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the pairs of polynomials to their products.
andreyandreev [35.5K]

The products of the polynomials are:

  • (xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6
  • (2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²
  • (x - y) * (x + 3y) = x² + 2xy + 3y²
  • (xy + 3x + 2) * (xy – 9)  = x²y² - 7xy + 3x²y - 27x  - 18
  • (x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 7xy - 6
  • (x + 3y) * (x – 3y) = x² - 9y²

<h3>How to evaluate the products?</h3>

To do this, we multiply each pair of polynomial as follows:

<u>Pair 1: (xy + 9y + 2) and (xy – 3)</u>

(xy + 9y + 2) * (xy - 3)

Expand

(xy + 9y + 2) * (xy - 3) = x²y² - 3xy + 9xy² - 27y + 2xy - 6

Evaluate the like terms

(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6

<u>Pair 2: (2xy + x + y) and (3xy² - y)</u>

(2xy + x + y) * (3xy² - y)

Expand

(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²

<u>Pair 3: (x – y) and (x + 3y) </u>

(x - y) * (x + 3y)

Expand

(x - y) * (x + 3y) = x² + 3xy - yx + 3y²

Evaluate the like terms

(x - y) * (x + 3y) = x² + 2xy + 3y²

<u>Pair 4: (xy + 3x + 2) and (xy – 9) </u>

(xy + 3x + 2) * (xy – 9)

Expand

(xy + 3x + 2) * (xy – 9)  = x²y² - 9xy + 3x²y - 27x + 2xy - 18

Evaluate the like terms

(xy + 3x + 2) * (xy – 9)  = x²y² - 7xy + 3x²y - 27x  - 18

<u>Pair 5: (x² + 3xy - 2) and (xy + 3) </u>

(x² + 3xy - 2) * (xy + 3)

Expand

(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 9xy - 2xy - 6

Evaluate the like terms

(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 7xy - 6

<u>Pair 6: (x + 3y) and (x – 3y)</u>

(x + 3y) * (x – 3y)

Apply the difference of two squares

(x + 3y) * (x – 3y) = x² - 9y²

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

5 0
2 years ago
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