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velikii [3]
3 years ago
7

Marion bought 14 packages of plastic frog and lizard fishing lures. She bought frog lures in packages of 4 and lizard lures in p

ackages of 6 for a total of 72 lures. How many of each lure did Marion buy?
Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

Marion bought 6  frog lures and 8 lizard fishing lures.

Step-by-step explanation:

Let f represent frog lures and l represent lizard lures.


The total packages Marion bought is

f+l=14...eqn1


If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then

4f+6l=72...eqn2


We make f the subject in equation 1 and put it into equation 2 to get;

f=14-l...eqn3


We put equation 3 into equation 2 to get;

4(14-l)+6l=72


\Righttarrow 2(14-l)+3l=36


We expand the bracket to get;

28-2l+3l=36


-2l+3l=36-28


l=8


We put l=8 into equation 3 to get;

f=14-8


f=6

Therefore Marion bought 6  frog lures and 8 lizard fishing lures.


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Hey could anyone explain how to answer this kind of question? Or just solve and show what you did! Thank you!
STALIN [3.7K]

Step-by-step explanation:

  • 9x-3=60°{each angle of equilateral triangle is 60°}
  • 9x=60+3
  • x=63/9
  • x=7

so,

  • 9x-3
  • 9×7-3
  • 63-3
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4 0
3 years ago
James gave Robert half a candy bar. Robert gave his sister half of what he had. What fraction of the whole candy bar did Robert
Evgesh-ka [11]

Answer:

1/4

25%

Step-by-step explanation:

Robert has 1/2 of the candy bar

If he gave his sister half, she has 1/2 x 1/2 = 1/4 of the candy bar

To convert 1/4 to percentage, multiply by 100

1/4 x 100 = 25%

7 0
3 years ago
Solve the inequality $-4x > -24.$ Give your answer in interval notation.
Scorpion4ik [409]

Answer:

x>6 that's means x is greater than 6

6 0
3 years ago
9. Triangle Construction pays Square Insurance $5,980
xxTIMURxx [149]

The triangle pay $32 more for that day than it paid per day during the first period of time.

Step-by-step explanation:

The given is,

              Triangle Construction pays Square Insurance $5,980

               To insure a construction site for 92 days

               To extend the  insurance beyond the 92 days costs $97 per day

               Triangle extends the insurance by 1 day

Step:1

              Insurance per day from the 92 days period,

                                                                           = \frac{Total insuratio for 92 days}{Period}

               Where, Total insurance for 92 days = $ 5,980

                                                               Period = 92 days

               From the values, equation becomes,

                                                                            =\frac{5980}{92}

                                                                           = $ 65 per day

Step:2

              Insurance per day after the 92 days,

                                                                           = $ 97

               Amount Pay for that day than it paid per day during the first period of time,

                                                                            =(97-65)

                                                                           = $32

Result:

             The triangle pay $32 more for that day than it paid per day during the first period of time, if  the Triangle Construction pays Square Insurance $5,980 to insure a construction site for 92 days and to extend the  insurance beyond the 92 days costs $97 per day.

                                                                         

8 0
3 years ago
Patty is building a rope ladder for a tree house. She needs two 5 foot pieces of rope for the sides of the ladder. She needs 7 p
BigorU [14]

Answer:

  20 1/2 feet

Step-by-step explanation:

The total length is found by adding the lengths of the individual pieces. It can be easier if you use multiplication in place of repeated addition. You want ...

  (2 × 5 feet) + (7 × 18 inches)

At some point in the process, you need to convert inches to feet. This is done by remembering that 12 inches = 1 foot. Dividing inches by 12 gives feet.

The above expression evaluates to

  10 feet + 126 inches = 10 feet + (126/12) feet = 10 feet + 10.5 feet

  = 20.5 feet

_____

A Google search box is a capable units converter and calculator.

6 0
3 years ago
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