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Leviafan [203]
2 years ago
10

Grapes cost $2.39 per pound and bananas cost $0.59 per pound. You have $15 to spend on g pounds of grapes and b pounds of banana

s. Make an input-output table, graph the table, write the equation: y=mx+b, and give 5 possible combinations.
Mathematics
1 answer:
Gelneren [198K]2 years ago
4 0

Answer:

2.39g + 0.59b = 15

Step-by-step explanation:

Algebraic Expressions

Let:

g = pounds of grapes

b = pounds of bananas

Since grapes cost $2.39 per pound, g pounds of grapes cost 2.39g dollars.

Since bananas cost $0.59 per pound, b pounds of bananas cost 0.59b dollars.

The total cost of fruits is:

C = 2.39g + 0.59b

And this cost is equal to $15:

2.39g + 0.59b = 15

This is the equation that relates the costs of the fruits. If another condition was given, then we could find how many pounds of each fruit is to be purchased.

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What is the area of the shaded region and the circle inside?

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What is the area of the circle inside?

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2 years ago
Please answer and explain how you did it.
alukav5142 [94]

Refer to the attached image.

Given: m \angle A = 65^\circ and measure of exterior angle at C = 117^\circ.

We have to determine the measure of angle B and angle BCA.

By applying exterior angle property of the triangle which states:

"An exterior angle of a triangle is equal to the sum of the opposite interior angles".

So, exterior angle C = m \angle A + m \angle B

117^\circ = 65^\circ+ m \angle B

m \angle B = 52^\circ

Now, applying angle sum property in triangle ABC which states:

"The sum of all the angles of a triangle is 180 degrees".

m \angle A + m \angle B + m \angle BCA = 180^\circ

65^\circ + 52^\circ + m \angle BCA = 180^\circ

117^\circ + m \angle BCA = 180^\circ

m \angle BCA = 180^\circ - 117^\circ

m \angle BCA =63^\circ

Therefore, the measure of m \angle B = 52^\circ and m \angle BCA =63^\circ.

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