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3 years ago

If 5 ib of pasta salad serves 14 people how much pasta salad should you bring to a picnic with 49 people

1 answer:

5 0

You need to make an inequality. You know 5 pounds will serve 14 people but you don't know how much you need to serve 49 people so you need to set up the equation $\frac{5}{14} * \frac{x}{49}$ . You then cross multiply to get $14x=245$ . Finally you divide 14 on both sides to get x=17.5 lbs of pasta salad

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What is the simplified form of (x+3/x^2-x-12)•(x-4/x^2-8x+16)

iragen [17]

1/(x+4)2, hope this helped!

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3 years ago

1. identify the corresponding sides on the figure below

Assoli18 [71]

Answer:

No because one side is 8 and the other is 18

Step-by-step explanation:

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3 years ago

Read 2 more answers

Planes X and Y and points C, D, E, and F are shown.

viva [34]

Answer:

The answer is below

Step-by-step explanation:

The planes are shown in the image below.

From the image, points D and E are on plane Y, while point F is on plane X.

A) The line that can be drawn through points C and D is contained in plane Y.

This statement is wrong because point C is not in plane Y

B) The line that can be drawn through points D and E is contained in plane Y.

Correct. Since both points D and E are on plane Y, hence The line that can be drawn through points D and E is contained in plane Y.

C) The only point that can lie in plane X is point F.

This statement is correct because from the image only point F is on plane X.

D) The only points that can lie in plane Y are points D and E.

This statement is correct because from the image only point D and E is on plane Y.

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3 years ago

A television game show has 11 doors, of which the contestant must pick 3. Behind 3 of the doors are expensive cars, and behind

bezimeni [28]

For there to be 1 car, we consider two possible outcomes:

The first door opened has a car or the second door opened has a car.

P(1 car) = 2/6 x 4/5 + 4/6 x 2/5

P(1 car) = 8/15

For there to be no car in either door

P(no car) = 4/6 x 3/5

P(no car) = 2/5

Probability of at least one car is the sum of the probability of one car and probability of two cars:

P(2 cars) = 2/6 x 1/5

= 1/15

P(1 car) + P(2 cars) = 8/15 + 1/15

= 3/5

6 0

3 years ago

In the figure below, mZ1=(x +48) and m2 2=2xº.<br> Find the angle measures.

NARA [144]

Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:

m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°

Combine like terms:
48° + 3x° = 90°

Subtract 48° from both sides:

48° - 48° + 3x° = 90° - 48°

3x = 42°

Divide both sides by 3 to solve for x:

3x/3 = 42/3

x = 14°

Plug in the value of x into the equation to fins m< 1 and m < 2:

m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°

90° = 90° (True statement)

Therefore:

m < 1 = 62°
m < 2 = 28°

6 0

3 years ago