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goblinko [34]
3 years ago
6

A recipe calls for 112 cups of mayonnaise and 38 cups of pecans. How much mayonnaise should be used if 1 cup of pecans is used?

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

Answer:

3 cups of mayonnaise will be required for 1 cup of pecan.

Step-by-step explanation:

A recipe calls for 112 cups of mayonnaise and 38 cups of pecans.

By using unitary method,

∵ 38 cups of pecans require mayonnaise = 112 cups

∴ 1 cup pecans requires mayonnaise = \frac{112}{38} cups

                                                             = 2.95 cups

                                                             ≈ 3 cups

Therefore, 3 cups of mayonnaise will be required for 1 cup of pecan.

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Which equation represents a line which is parallel to the line 7x - y = 4?
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Answer:

Step-by-step explanation: step : Place the given line’s equation in slope- intercept form y = mx + b. A line parallel to this line will have the same slope.

7x - y = 4. Yields y = 7 x - 4. Therefore y = 7x - 5 is the correct answer.

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Factor completely: 16x2 + 40x + 25
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4 years ago
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At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult ti
kondaur [170]

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

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2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

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3 years ago
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Answer:

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Step-by-step explanation:

Since the total is 300 and the ratio is 4:1,

Let us suppose the number of adults be 4x and children be x;

According to the question,

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or,5x=300

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or,x=60

So, 60 students attended the show.

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3 years ago
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