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Kaylis [27]
3 years ago
12

Solve for q. s = 4p + 4q solve the equation

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
4 0

Answer:

q = \frac{s -4p}{4}\\

Step-by-step explanation:

s = 4p +4q \\ 4p +4q = s \\ 4p +4q -4p = s -4p \\ 4q = s - 4p \\ \frac{4q}{4} = \frac{s -4p}{4} \\ q = \frac{s -4p}{4}

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16x^2-12x=54. Find the real solutions.
ELEN [110]
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3 years ago
Mary​'s car will go 261 miles on 14.5 gallons of gasoline in highway driving.
suter [353]

Answer:

a) 91 1/6 gallons

b) 2502 miles

Step-by-step explanation:

You are given a number of miles and a number of gallons for the car. The ratio of these numbers is ...

  (261 mi)/(14.5 gal) = 18 mi/gal

We presume this value is constant for this car. Then the questions can be answered by forming and solving a proportion:

a) 1641 miles/(gallons) = 18 mi/(1 gal)

Multiplying by gallons and dividing by 18 mi/gal, we get

  1641/18 gal = (gallons) = 91 1/6 gal

It will take 91 1/6 gallons of gasoline for Mary to drive to her friend's house.

___

b) Same deal, but the miles are unknown.

  (miles)/(139 gal) = (18 mi)/(1 gal)

Multiplying by 139 gal gives ...

  (18 mi)·139 = (miles) = 2502 mi

139 gallons of gasoline will let Mary drive 2502 miles.

3 0
3 years ago
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NikAS [45]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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A map uses a scale of 3/4 in = 80 miles. If two buildings are 60 miles apart in real life, how far apart would they be drawn on
Alla [95]

Given:

The scale of a map is \dfrac{3}{4}\ in=80\ miles.

The distance between two buildings is 60 miles.

To find:

The distance between the given building on the map.

Solution:

We have,

\dfrac{3}{4}\ in=80\ miles

It means, 80 miles in real life = \dfrac{3}{4}\ in on the map.

1 mile in real life = \dfrac{3}{4\times 80}\ in on the map.

60 mile in real life = \dfrac{3\times 60}{4\times 80}\ in on the map.

                              = \dfrac{180}{320}\ in on the map.

                              = \dfrac{9}{16}\ in on the map.

Therefore, the buildings are \dfrac{9}{16}\ in apart on the map.

7 0
3 years ago
Sam works 1/5 hour at the register of a store. He works 2/3 hour in the back stock room and 1/2 hour helping customers. How many
AleksandrR [38]

Answer:

Sam worked  \frac{41}{30}  hours that day (fractional answer)

Step-by-step explanation:

The total number of hours Sam worked is the sum of all the three hours given.

Let's add the first 2 using LCM and then add that result with the last.

Firstly:

\frac{1}{5}+\frac{2}{3}\\=\frac{1(3)+2(5)}{15}\\=\frac{13}{15}

Now,

\frac{13}{15}+\frac{1}{2}\\=\frac{13(2)+1(15)}{30}\\=\frac{41}{30}

The hours worked by Sam is 41/30 hours (fractional answer).

7 0
3 years ago
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