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fgiga [73]
3 years ago
15

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Ma

th Pentathlon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass
A x+2y>240
B x+2y≤240
C x+2y≥240
D x+2y<240​
Mathematics
1 answer:
yawa3891 [41]3 years ago
6 0

Answer:

x+ 2y ≥  240  is the linear inequality in standard form for this situation.

Step-by-step explanation:

Let the number of hot chocolates sold = x

Cost of each hot chocolate = $1

Let the number of apple ciders sold = y

Cost of each hot chocolate = $2

So, the total amount earned =  x ( $1)  + y ($2)

Also, the total amount earned should at least be $240

Hence, according to the question

x+ 2y ≥  240  is the linear inequality in standard form for this situation.

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Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate?
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Answer: Triangle ABC and Triangle ECD


Step-by-step explanation:

In Triangle ABC and Triangle ECD

BD=CD and AD=ED [given in the figure]

∠BDA=∠EDC  [Vertically opposite angles are equal]

⇒ΔABC ≅ ΔECD [By SAS postulate]

SAS postulate or Side Angle Side postulate tells that if two sides and their included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

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How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?
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None i hope it helped

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Evaluate 2x + 1 when x = 7.
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15

Step-by-step explanation:

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a bag contains 5 grape tootsie pops and 8 chocolate tootsie pops. if juan pulls a chocolate tootsie pop out of the bag and eats
kipiarov [429]

Answer:

= 5 / 12

Step-by-step explanation:

Probability is an outcome of chance. It is a measure of outcomes of events.

To solve the probability of picking a Tootsie Pop, we must comfortably know the contents of the bag.

Number of GRAPE Tootsie pops = 5

Number of CHOCOLATE Tootsie pops= 8

Total number of Tootsie pops = The sum of both Tootsie pops

Total number = 5 + 8

= 13.

Let's note that tge question said , Juan pulls a chocolate Tootsie Pop and eats. The implication is it has reduced the total number of Tootsie Pops left in the bag.

Therefore:

The probability that the next pop he pulls out will be grape will be

Probability (Grape) = 5 / (13 -1)

= 5 / 12

The probability that the next Pop he pulls out will be a grape = 5/12

4 0
3 years ago
HELP I REALLY NEED HELP
zepelin [54]

Answer: 72 inches squared

Step-by-step explanation:

So, the real floor of a classroom is 36 feet by 32 feet.

And the scale drawing, has length of the classroom equal to 9 inches.

What is the area in square inches of the floor in the scale drawing

1 foot = 12 inches

The length of the classroom, measured in feet, has been multiplied by 12, to get converted in inches. After that, it has been divided by a number, a proportion, to get to 9 inches.

36feet * 12 / x = 9 inches

432 inches / x = 9 inches

Now, to solve for x, we can cross-multiply

432 inches = 9x inches

Divide 9 inches on both sides.

x = 48

To solve the exercise, we need to calculate the floor's area in the scale drawing.

We have the length = 9 inches.

Now, let's calculate the width

Width = 32 feet * 12 / 48

Width = 384 inches / 48

Width = 8 inches

Area = Length * Width

Area = 9 inches * 8 inches

Area = 72 inches squared

Hope I helped!

6 0
2 years ago
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