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Diano4ka-milaya [45]
3 years ago
15

At a local grocery store, apples cost $0.50 each and bananas cost $0.30 each. The expression 0.50x + 0.30y can be used to find t

he cost of buying some apples and bananas. 1. Interpret what the x and y represent in context. 2. What does each term represent? 3. What do each of the coefficients represent?
Mathematics
1 answer:
JulsSmile [24]3 years ago
3 0

(1) x represents the number of apples bought, y represents the number of bananas.

(2) each term represents the total costs of a given fruit, so 0.50x is the total cost of apples and 0.30y is total cost of bananas.

(3) The coefficients are unit prices: coefficient 0.50 is the price of 1 apple, 0.30 is the price of 1 banana.

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The cost of putting in automatic sprinklers for a lawn largely depends upon the length of Poole that must be laid. The controlle
OLga [1]

Answer:

c(F) = 135 + 2.5F

Step-by-step explanation:

We are given the following in the question:

Controller cost = $135

System cost = $2.50 per foot of pipeline

The total cost depends upon the length of Pole.

Let the system requires F feet of pipeline.

Total cost will be given by the equation:

c(F) = \text{Controller cost + System cost(Feet of pipeline required)}\\c(F) = 135 + 2.5F

is the required expression for total cost

F: feet of pipeline required

c(F): Total cost of installation

5 0
3 years ago
A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards
emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

187 = w^{2} +6w

w^{2} +6w-187 =0,

Using the quadratic formula w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a} where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}

w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}

We have two options: w=\frac{-6+28}{2}=\frac{22}{2}=11  yards

Or

w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length l =\frac{187}{11}=17 yards

6 0
3 years ago
In aerobic respiration
jek_recluse [69]

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6 0
3 years ago
Read 2 more answers
In AMNO, m = 540 inches, n = 330 inches and o=600 inches. Find the measure of
MaRussiya [10]

Answer: 83.5

Step-by-step explanation:

5 0
3 years ago
What is the distance around a triangle that has sides measuring 2 1/8 feet, 3 1/2 feet, and 2 1/2 feet?
Alex787 [66]
Hi!
A is the answer:⏬⏬⏬⏬⏬⏬⏬⏬

The distance around a triangle, better noun as de "perimeter of a triangle"

is the total distance around the outside, which can be found by adding together the length of each side.

Perimeter (P) = Length A + Length B + Lenght C

In this case, we know that each side measure 2 \frac{1}{8}81​ feet, 3 \frac{1}{2}21​ feet, and 2 \frac{1}{2}21​feet  but we have to rewrite each one of this mixed fractions as improper fractions:

2 \frac{1}{8}81​ = \frac{16 + 1}{8}816+1​ = \frac{17}{8}817​   

3 \frac{1}{2}21​ = \frac{6 + 1}{2}26+1​ = \frac{7}{2}27​

2 \frac{1}{2}21​ = \frac{4 + 1}{2}24+1​ = \frac{5}{2}25​

Then we just add all of them to find the perimeter:

 = \frac{17 + 28 + 20}{8}817+28+20​ = \frac{65}{8}865​

A: The distance around a triangle is \frac{65}{8}865​feet
3 0
3 years ago
Read 2 more answers
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