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2 years ago

If Logan's family can drive 23 1/8 miles on 1 gallon of gas,how far can they drive on 17 gallons

1 answer:

4 0

$\bf \begin{array}{ccll} miles&\stackrel{gas}{gallons}\\ \cline{1-2}\\ 23\frac{1}{8}&1\\\\ x&17 \end{array}\implies \cfrac{23\frac{1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{23\cdot 8+1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{185}{8}}{x}=\cfrac{1}{17} \\\\\\ \cfrac{\frac{185}{8}}{\frac{x}{1}}=\cfrac{1}{17}\implies \cfrac{185}{8}\cdot \cfrac{1}{x}=\cfrac{1}{17}\implies \cfrac{185}{8x}=\cfrac{1}{17} \\\\\\ 3145=8x\implies \cfrac{3145}{8}=x\implies 393\frac{1}{8}=x$

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What constant do you need to add to each quadratic to complete the square?

babunello [35]

Answer:

1. 4

2. 16

3. 9

Step-by-step explanation:

Completing the square requires a quadratic in $ax^2+bx=c$ form. Once in this form, calculate $(\frac{b}{2})^2$ .

1. $(\frac{b}{2})^2=(\frac{-4}{2})^2=4$

2. $(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

3. Requires you divide everything by 3 first.

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$(\frac{b}{2})^2=(\frac{6}{2})^2=9$

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2 years ago

A rectangular garden has an area of 46 1/2 square feet. If the garden is 7 1/2 feet long, how many feet wide is it?

Ierofanga [76]

Answer:

The answer is 6 1/5 feet in width.

Step-by-step explanation:

Since the formula for area is wl or width x length, we can utilize our reversive property to find our width by dividing the Area we are given by our length, giving us the missing width in return. Dividing 46.5 square feet by 7.5 feet gives us 6.2 feet, or 6 1/5 feet.

Hope this helps!

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1 year ago

I need help with question four and the instructions for the equations or just solve the systems of simultaneously equation using

Sliva [168]

Answer:

x = 1\2 and y = 0

Step-by-step explanation:

8x + 3y = 4 * 5\3

14x - 5y = 7 * 1

40\3x + 5y = 20\3 -------- 1

14x - 5y = 7 ----------------- 2

add equation 1 and 2

82\3x = 41\3

x = 41 3

3 * 82

x = 1\2

subtitute 1\2 for x in equation 2

14\2 - 5y = 7

7 - 5y = 7

5y = 7 - 7

y = 0\5

y = 0

thus x = 1\2 and y = 0

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1 year ago

Calculate the value of A in the statement

tigry1 [53]

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2 years ago

when the driver is in the empty truck, the mass is 2948.35 kilogram. the mass of 1 box of paper is 22.5 kilograms. the driver de

marishachu [46]

Answer:

0 boxes minimum

Step-by-step explanation:

The mass of the truck and paper must satisfy ...

22.5b + 2948.35 ≤ 4700 . . . . total truck mass cannot exceed bridge limits

22.5b ≤ 1751.65

b ≤ 77.85

The driver can take a minimum of 0 boxes and a maximum of 77 boxes of paper over the bridge.

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The question asks for the minimum. We usually expect such a question to ask for the maximum.

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2 years ago