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ryzh [129]
3 years ago
13

In autumn a tree starts to shed its leaves. 2/5 of the leaves fall off in the first week. 1/2 of those remaining fall of in the

second week, and 2/3 of those remaining fall of in the third week. 85 leaves now remain.
Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0

Answer:

850 leaves were on the tree initially.

Same as;

2/5 + 1/5 + 3/10 + (remaining leaves 1/10) = 1

4/10 + 2/10 + 3/10 + 1/10

10 x 85 = 850

Step-by-step explanation:

2/5  wk 1 fall off

1/5  wk 2 fell off

3/5 x 1/2  = 3/10 wk 2 stayed on tree

1/3 x 3/10 = 1/10 wk 3 stayed on

2/5 + 1/5 + 3/10 = 9/10 =  0.9 fall off in total

10/10 - 9/10 = 1/10 left on tree

1/10 = 85

10 x 85 = 850 leaves.

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Based on the activity,how many words are familiarto you?​
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Answer:

1M

Step-by-step explanation:

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3 0
3 years ago
Amanda leaned a 15-foot ladder against the top of her house so she could get on the roof, which is 12 feet from the ground.
valentinak56 [21]

If you're trying to find the missing side of the "triangle" (the distance from the house to where the ladder touches the ground), you would use the pythagorean theorem, a²+b²=c². (c is always hypotenuse)

a²+b²=c²

12²+b²=15²

144+b²=225

b²=81

√b²=√81

b=9


8 0
3 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
grigory [225]
<h2>Answer:</h2>

The answer is x = 2.

<h2>Step-by-step explanation:</h2>

<u><em>* Scroll to the bottom for an explanation in list format</em></u><em> :)</em>

In this problem, our goal is to solve for x in order to identify said variable's value. To do this, we must isolate the variable x on one side, whilst the other side contains solely the value of x. The rules that we will be using for this problem are '<em>Line of Equality</em>' and '<em>PEMDAS</em>.' Line of Equality is a rule that states that what you do to one side of an inequality/equation, you must to do the other as well. PEMDAS is a mathematical acronym used as a tell-tale of sorts for order of operations - often OoO for inequalities such as this one. In PEMDAS, P stands for Parenthesis, E stands for Exponents, M stands for Multiplication, D stands for Division, A stands for Addition, and S stands for Subtraction. You use each letter in order of the spelling, with the exception that you do Multiplication and Division by whichever comes first in the equation; the same goes for Addition and Subtraction. However, when solving this inequality, we won't have to focus on the complications of P, E, or M at all.

The (original) inequality this problem gives us is 14 + 3x = 2 + 9x. Our first step is to choose which side we will isolate x to, leaving the other one to be its value. I would personally recommend isolate whichever x value is greater, but either way works. This time around, I chose to isolate 9x.

Since I've decided to isolate x on the right side (2 + 9x), that means I have to eliminate any other x values on either side of the inequality. The only other x value is 3x. Due to + 3x being adding a positive 3x, we have to counteract it by eliminating it and changing its value to 0. In this case, we can counteract + 3x by subtracting 3x (aka - 3x). Remember, the <em>Line of Equality</em> rule means we have to do the same to either side; if we subtract 3x on one side, we also have to do so on the other. 14 + 3x - 3x = 2 + 9x - 3x. +3x - 3x = 0, or 0x. 9x - 3x = 6x. After combining like terms, the new inequality is 14 = 2 + 6x.

Now, I have to eliminate any numerical values, or regular numbers (which, in this case, would be numbers without a variable attached to them), on the right side, since that is the side I want to isolate x on. The only numerical value on the right side of my inequality is 2. This 2, or + 2, can be counteracted by subtracting 2, or - 2. Our rule causes us to subtract 2 from both sides. 14 - 2 = 2 - 2 + 6x. 14 - 2 = 12. 2 - 2 = 0. After combining like terms, the new inequality is 12 = 6x.

Now, I have to simplify x and make it singular. 1x and x are the same thing, so I must make 6x into x. 6x is the same thing as 6 * x. Therefore, since 6 * x is multiplication, I have to do the opposite to get the desired result. I should divide 6x by 6 to get 6. Due to the <em>Line of Equality</em>, I also have to divide 12 by 6. 12 ÷ 6 = 6x ÷ 6. 12 ÷ 6 = 2. 6x ÷ 6 = x. After combining like terms, the new inequality is 2 = x.

Lastly, mainly for a bonus step, we should flip the places of 2 and x. This is because, similarly to most problems, this question places x on the left side of the inequality. The 2 and x in 2 = x must switch places in order to properly finish this problem. Since this inequality uses an equal sign, the symbol will remain as an = when the inequality is flipped. However, it should be noted that when using symbols such as greater than (>) or less than (<), the sign will flip with the rest of the inequality. = is a symmetrical sign, which is why it will remain the same; it is the same equivalent symbol even when flipped. After we flip the inequality, the new equation becomes x = 2. Therefore, our answer is x = 2.

<h3>For those that want a list format of the procedure for this inequality's solving - here you go: </h3>

* <u>Remember the '</u><u><em>Line of Equality</em></u><u>' Rule: What you do on one side, on the other do the same.</u>

14 + 3x = 2 + 9x

<em>Subtract 3x from both sides.</em>

14 + 3x - 3x = 2 + 9x - 3x

14 = 2 + 6x

<em>Subtract 2 from both sides.</em>

14 - 2 = (+)2 - 2 + 6x

12 = 6x

<em>Divide both sides by 6.</em>

12 ÷ 6 = 6x ÷ 6

2 = x

<em>Flip the inequality. (The sign remains the same since it's the equal sign.)</em>

x = 2

Therefore, our answer is x = 2.

7 0
3 years ago
Jackson picked apples for his family. He picked a total of 6 1/2 pounds. He took 2 3/4 pounds to his aunt and 1 5/8 pounds to hi
Thepotemich [5.8K]
2 3/4+1 5/8= deducted amount of apples

improper fraction= 11/4+13/8

same denominator= 2(11/4)+13/8

<span>2(11/4)+13/8=22/8+13/8=35/8=4 3/8</span>

6 1/2- 4 3/8

improper fraction= 13/2-35/8

same denominator= 4(13/2)-35/8

52/8-35/8= 17/8 lbs. There u go! 




4 0
3 years ago
T - 19 = 17 what is t
coldgirl [10]
To answer you need to isolate T so you add 19 to both sides. so T = 36

Hope that helped! If you don't get it message me and I can try to re explain :)

3 0
3 years ago
Read 2 more answers
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