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goldfiish [28.3K]
3 years ago
8

Jerry bought 5 candy bars for $14.75. if the king size candy bar cost $3.75 and a regular size candy bar cost $1.75, how much of

each candy bar did he buy?
one equation looks like:

3.75x+1.75y=14.75
Mathematics
1 answer:
Arturiano [62]3 years ago
4 0

Answer:

King size(x): 3

Regular size(y): 2

Steps:

System of Equations:

x+y = 5

3.75x+1.75y = 14.75

Multiply 3.75 on all sides.

3.75x+3.75y = 18.75

3.75x+1.75y = 14.75

Subtract top and bottom

            2y  = 4

            /2      /2

             y   =  2

After you know regular size amount, figure out king size ----3.

5-2 = 3.    

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Answer:

1.6\ hours

Step-by-step explanation:

we know that

She rides for 11.2 kilometers at a speed of 7 kilometers per hour

Using proportion

Find how many hours does she ride

\frac{7}{1}\frac{km}{h} =\frac{11.2}{x}\frac{km}{h}\\ \\x=11.2/7\\ \\x=1.6\ hours

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Gilbert and Brian drove 604 miles in 11.6 hours. Gilbert drove the first part of the trip and averaged 45 miles per hour. Brian
AVprozaik [17]

The length of hours Gilbert drove is 7.5 hours.

The length of hours Brian drove is 4.1 hours.

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

  • Gilbert averaged = 45 miles per hour
  • Brain averaged = 65 miles per hour
  • Total hours = 11.6 hours
  • Total distance = 604 miles

Let 'x' be the hours Gilbert drove.

Let 'y' be the hours Brian drove.

x+y = 11.6  -----(1)

45x+65y = 604 -----(2)

Multiply (1) by 45 and subtract (2) from (1)

 45x+45y = 522

-(<u>45x+65y = 604</u>)

 <u>      -20y = -82 </u>

y = 82/20

y = 4.1 hours

The length of hours Brian drove = 4.1 hours

Substitute y=4.1 in (1)

x+4.1 = 11.6

x = 7.5 hours

The length of hours Gilbert drove = 7.5 hours

3 0
3 years ago
7x &lt; 10<br> please solve
Anvisha [2.4K]

Answer: The answer would be  x < 10/7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    7*x (10)>0

Step by step solution :

STEP

1

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Pulling out like terms

1.1     Pull out like factors :

  7x - 10  =   -1 • (7x + 10)

Equation at the end of step

1

:

STEP 2

:

2.1   Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     7x+10  < 0

2.2    Divide both sides by  7  

     x+(10/7)  < 0

Solve Basic Inequality :

2.3      Subtract  10/7  from both sides

           x < 10/7

Inequality Plot :

2.4      Inequality plot for

        7.000 x  - 10.000  >  0

 

One solution was found :

x < 10/7

4 0
3 years ago
How many 1/2 cups servings of cereal are in 2 cups of cereal ?
Airida [17]
4 because 2cups of 1/2 cups=1cup
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7 0
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