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Lady_Fox [76]
3 years ago
9

Six yards of rope costs $5.50 while four yards costs $4.75

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

The best option is the first one (Six yards of rope costs $5.50). It is the lowest unit cost.

<u>Step-by-step explanation:</u>

For the given question case, first we should compare the unit costs of the choices provided and evaluate the best option.

Choice 1:

Six yards of rope costs $ 5.50

            \frac{5.50 \text { dollar}}{6 \text { yard }}=0.9167\ dollar/yard

Choice 2:

Four yards costs $ 4.75

           \frac{4.75 \text { dollar}}{4 \text { yard }}=1.1875\ dollar/yard

Thus, the best choice is the first one. Because it is the lowest unit cost.

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Step-by-step explanation:

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8 0
3 years ago
Triangle ABC has vertices A(0,6) B(4,6) C(1,3). Sketch a graph of ABC and use it to find the orthocenter of ABC. Then list the s
Allisa [31]

For line B to AC:  y - 6 = (1/3)(x - 4);  y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14

For line A to BC:  y - 6 = (-1)(x - 0);  y - 6 = -x, so y + x = 6

Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:

(3y - x = 14) + (y + x = 6) =>  4y = 20, y = +5;  Substitute this into y + x = 6:  5 + x = 6, x = +1

<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>

5 0
3 years ago
Solve for x if EF = 2x + 7 and FG = 7x –9<br><br> help please I'll give brainliest
s2008m [1.1K]

Answer:

x = 3.2

Step-by-step explanation:

Since, intercepts made by parallel lines on the transversals are in proportion.

\therefore \frac{AB}{BC} =\frac{EF}{FG}... (1)

AB = BC.... (given)

\implies \frac{AB}{BC} = 1..... (2)

From equations (1) & (2)

1 =\frac{EF}{FG}

{FG}={EF}

Therefore,

7x - 9 = 2x + 7

7x - 2x = 9 + 7

5x = 16

x = 16/5

x = 3.2

7 0
2 years ago
Eddie deposited $1200 into an account that earns 3% interest compounded 2 times per year. How much money will Eddie have in his
nirvana33 [79]
Total = Principal * (1+(rate/n))^n*years
Total = 1,200 * (1.015)^14
Total = 1,200 * <span><span><span>1.2317557307 </span> </span> </span>
<span>Total = 1,478.11</span>
Source:
http://www.1728.org/compint3.htm




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3 years ago
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