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Fantom [35]
3 years ago
7

Jelly ate 3 apples. This represents 50% of the bag of apples. How many apples were originally in the bag

Mathematics
2 answers:
rjkz [21]3 years ago
6 0
<h3>Answer:  6 apples</h3>

x = number of apples originally

50% of x = 0.50*x = amount of apples eaten = 3

0.50x = 3

x = 3/0.50 ....... divide both sides by 0.50

x = 6

You can think of 50% as 1/2. If 3 apples represent half the bag, then the full bag is 6 apples. So half of 6 is 3.

bogdanovich [222]3 years ago
6 0
There were 6 apples.
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What is the y-intercept of the line given by the equation y equals two x minus nine?
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Write an inequality for the following statement. A is greater than 7
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8 0
3 years ago
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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.
konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.

Take positive value x. You get

AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.

2. According to the previous theorem,

AC^2=AD\cdot AB.

Then

AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

Answer: AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0
3 years ago
Read 2 more answers
Help me with this, please! Very thankful!
Naya [18.7K]
X. Y
12 —> 4
8 —> 8/3
13 —> 13/3

Substitute x values for y.
y = 1/3(12)
y=4
5 0
2 years ago
Read 2 more answers
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