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2 years ago

7

Tyler made 9 1/2 cups of lemonade. He offers 3/4 cup serving of lemonade to some relatives at a family picnic.what is the greate

s number

1 answer:

VARVARA [1.3K]2 years ago

5 0

If you are asking how many people are there, it would be 12 people get a 3/4 cup of lemonade

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Find the length of the shorter leg of a right triangle with the longer leg is 9 feet more than the shorter leg the hypotenuse is

Jobisdone [24]

Answer:

Length of Shorter leg = 27 feet

Length of Longer leg = 36 feet

Length of Hypotenuse = 45 feet

Step-by-step explanation:

Given:

Let,

Length of Shorter leg = x,

According to the given condition we have

∴ Length of Longer leg = x + 9 feet

∴ Length of Hypotenuse = 2x - 9 feet

To Find:

Length of Shorter leg = ?

Solution:

Now In Right Angle Triangle, By Pythagoras theorem we have

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

substituting the given values we get

$(2x-9)^{2} = (x)^{2}+(x+9)^{2}\\$

By using Identity (A ± B)² = A² ± 2AB +B² we get

$4x^{2} -36x+81=x^{2} +(x^{2} +18x+81)\\\\4x^{2} -2x^{2} -36x-18x=81-81\\\\2x^{2} -54x=0\\2x(x-27)=0\\2x=0 or x-27=0\\\therefore x\ cannot\ be \ zero\\\therefore x = 27 \feet$

Substituting x=27 we get

∴ Length of Longer leg = x + 9 =27 +9 = 36 feet

∴ Length of Hypotenuse = 2x - 9 = 2×27 -9 = 45 feet

7 0

3 years ago

tiffany and justin have baseball card collections. justin has 36 more cards than tiffany if they have a total of 92 cards, how m

saw5 [17]

Answer:Tiffany has 28 Justin has 64

Step-by-step explanation:

64+28=92

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2 years ago

Can u plzz help meeee

Strike441 [17]

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Jesselyn made 6 muffins. She used 3/8 teaspoon of baking powder for each muffin. How much baking powder did Jesselyn use for all

bezimeni [28]

Answer:

C

Step-by-step explanation:

Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.

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2 years ago

The function h(x) is defined as shown.

belka [17]

Hello,

h(x)= if x<3 then x+2
else -x+8

(–∞5[ U [5 –∞)=(–∞ 5]

Answer B

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3 years ago

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