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givi [52]
2 years ago
7

Combine like terms to create an equivalent expression. 3.26d+9.75d-2.653.26d+9.75d−2.65

Mathematics
2 answers:
trasher [3.6K]2 years ago
0 0
<h2>Explanation:</h2><h2></h2>

Combining like terms is used in math in order to simplify expressions. We combine common terms in order to make the expression much easier. Common terms are those that have the same variable and exponent. So in the expression:

3.26d+9.75d-2.65 \\ \\ \\ So: \\ \\ \text{The terms} \ 3.26d, \ 9.75d \ \text{have the same variable d and exponent 1} \\ \text{therefore we can combine them}

Thus, the expression becomes:

3.26d+9.75d-2.65=(3.26d+9.75d)-2.65=\boxed{13.01d-2.65}

KATRIN_1 [288]2 years ago
0 0

Answer:

13.01d-2.65

Step-by-step explanation:

thank me later :)

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Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation c
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First lets write down our starting conditions:

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16% of 22 gallons is
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7 0
2 years ago
Kayleigh babysat for 11 hours this week. That was 5 fewer than 2/3 as many hours as she babysat last week, h. Write an equation
lukranit [14]

Answer: The answer is \textup{x}=\dfrac{2}{3}\textup{h}-5.


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We are to write an equation to represent the number of hours she babysat each week.

So, for that, let 'x' be the number of hours she babysat this week. Then, according to the question, we can write

\textup{x}=\dfrac{2}{3}\textup{h}-5.

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\textup{x}=11.

Therefore,

11=\dfrac{2}{3}\textup{h}-5\\\\\Rightarrow \dfrac{2}{3}\textup{h}=16\\\\\Rightarrow \textup{h}=24.

Hence, using the above relation, we can find the number oh hours Keyleigh babysat each week.

Thus, the required equation is

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where, 'x' and 'h' are the number of hours she sat this week and last week respectively.

 


4 0
2 years ago
Diego's sister is twice his age minus 9 years. She is also as old as half the sum of the ages of Diego and both of his 12-year-o
slava [35]

Answer:

Diego is 14 years old.

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x = Diego's age

<u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>4</u>

2x-9 = 2

First to get rid of the fraction we multiply each side by 2

2(2x-9) = 2((x+24)/2)

4x-18 = x+24

The we isolate x

4x-18 = x+24

<u>-x+18 -x+18</u>

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So Diego is 14

Now we can solve for his sister. We can use one of the two equations from earlier to do this.

Plug 14 in for x and then solve for his sister

2(14)-9

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5 0
2 years ago
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The Community Relief Fund receives a large donation of $2800. The foundation agrees to spend the money on $20 school bags, $25 s
asambeis [7]

The question is incomplete:

The Community Relief Fund receives a large donation of $2800. The foundation agrees to spend the money on $20 school bags, $25 sweaters, $5 books. They want to buy 200 items and send them to schools in earthquake-hit areas. They must order as many books as school bags and sweaters combined. How many of each item should they order?

Answer:

They must order 40 bags, 60 sweaters and 100 books.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y+z=200 (1)

20x+25y+5z=2800 (2)

z=x+y (3), where:

x=amount of bags

y=amount of sweaters

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Now, you can replace (3) in (1) and (2):

x+y+x+y=200

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2x+2y=200 (4)

25x+30y=2800 (5)

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According to this, the answer is that they must order 40 bags, 60 sweaters and 100 books.

7 0
2 years ago
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