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Volgvan
3 years ago
13

an airline allows each passenger 33 kilograms of luggage. carl has to lower the weight of his suitcase by 25% to stay within the

limit. how much did the suitecase originally weigh
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
7 0
If the weight is lowered by 25% it is the same as taking 75% of the original weight.

0.75x = 33
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The surface area of a rectangular prism is 2,280 square feet. If the width and height are 20 and 15 feet, the length of the pris
kolbaska11 [484]

Answer:

The statement is trrue.

Step-by-step explanation:

Given that,

The surface area of a rectangular prism = 2,280 square feet

Width, b =20 feet

Height, h = 15 feet

The formula for the surface area of a rectangular prism is given by :

A=2(lb+bh+hl)

Where

l is the length of the prism

Substitute all the values,

A=2(lb+bh+hl)\\\\2,280=2(20l+20\times 15+15l)\\\\1140=(20l+20\times 15+15l)\\\\1140=35l+300\\\\1140-300=35l\\\\35l=840\\\\l=24\ feet

So, the length of the prism is equal to 24 feet.

6 0
3 years ago
Pablo's Gourmet Pretzel Shop specializes in selling the very finest chocolate covered pretzels. Rico bought 4 white chocolate pr
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Answer:

Step-by-step explanation:

Let x represent the cost of one white chocolate pretzel.

Let y represent the cost of one dark chocolate pretzel.

Rico bought 4 white chocolate pretzels and 6 dark chocolate pretzels for $10.50. This means that

4x + 6y = 10.5 - - - - - - - - - - -1

Holden bought 8 white chocolate and 3 dark chocolate pretzels for $9.75. This means that

8x + 3y = 9.75 - - - - - - - - - 2

Multiplying equation 1 by 8 and equation 2 by 4, it becomes

32x + 48y = 84

32x + 12y = 39

Subtracting, it becomes

36y = 45

y = 45/36 = $1.25

Substituting y = 1.25 into equation 1, it becomes

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4x + 7.5 = 10.5

4x = 10.5 - 7.5 = 3

x = 3/4 = $0.75

the total cost for 6 white chocolate pretzels and one dark chocolate pretzel would be

6 × 0.75 + 1 × 1.25 = 4.5 + 1.25 = $5.75

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3 years ago
Solve the given system by the substitution method. If there is no solution or an infinite number of​ solutions, so state. Use se
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Answer:

x=5, y=3

Step-by-step explanation:

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2) x+3y=14

3) x=-3y+14

4) 4(-3y+14)+5y=35

5) -12y+56+5y=35

6) -7y+56=35

7) -7y=-21

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9) x=-3\times 3+14

10) x=-9+14

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finale and last : x=5,y=3 ✅

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