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Vinvika [58]
3 years ago
11

How do you get a34 from a=-11+7n

Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

Answer:

Step-by-step explanation:

34=-11+7A

We move all terms to the left:

34-(-11+7A)=0

We add all the numbers together, and all the variables

-(7A-11)+34=0

We get rid of parentheses

-7A+11+34=0

We add all the numbers together, and all the variables

-7A+45=0

We move all terms containing A to the left, all other terms to the right

-7A=-45

A=-45/-7

A=6+3/7

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Step-by-step explanation: 3/4 equals .75

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3 years ago
A bookcase has two shelves. The top shelf has 10 more than 1/3 the number of books on the bottom shelf. There are 12 books on th
kobusy [5.1K]

Answer: b.14

Step-by-step explanation:

We have two shelves, the top shelf s_{t} and the bottom shelf s_{b}.

Now, firstly we are told the top shelf has 10 more than 1/3 the number of books on the bottom shelf. This can be expressed as:

s_{t}=10+\frac{1}{3}s_{b} (1)

Then, we are told there are 12 books on the bottom shelf:

s_{b}=12 (2)

Substituting (2) in (1):

s_{t}=10+\frac{1}{3}(12) (3)

s_{t}=10+\frac{12}{3} (4)

s_{t}=14 (5) This is the number of books on the top shelf

Hence, the correct option is b.

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3 years ago
Add 5 gal 2qt + 4gal 3qt​
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It’s 9 gal and 3 qt.
6 0
3 years ago
-1. What are some instruments that you know of that we
morpeh [17]

Answer:

The gram and kilogram are two units used to measure mass in the metric system . From the gram, we get the rest of the metric units using the standard metric prefixes. A paper clip has a mass of about 1 gram. A 1 liter bottle of water has a mass of 1 kilogram (plus a little bit extra for the plastic).

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2 years ago
Which polynomial can be simplified to a difference of squares
Mrrafil [7]
<h2>Hello!</h2>

The answer is:

The polynomial that can be simplified to a difference of squares is the second polynomial:

16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}=(4-1)(4+1)

<h2>Why?</h2>

To solve this problem, we need to look for which of the given quadratic terms given for the different polynomials can be a result of squaring (elevating by two).

So,

Discarding, we have:

The quadratic terms of the given polynomials are:

First=10a^{2}

Second=16a^{2}

Third=25a^{2}

Fourth=24a^{2}

We have that the coefficients of the quadratic terms that can be obtained by squaring are:

16a^{2} =(4a)^{2} \\\\25a^{2} =(5a)^{2}

The other two coefficients are not perfect squares since they can not be obtained by square rooting whole numbers.

So, the first and the fourth polynomial are discarded and cannot be simplified to a difference of squares at least using whole numbers.

Therefore, we need to work with the second and the third polynomial.

For the second polynomial, we have:

16a^{2} -4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2} =(4-1)(4+1)

So, the second polynomial can be simplified to a difference of squares.

For the third polynomial, we have:

25a^{2} +6a-6a+36=16a^{2}+36=(5a)^{2}+(6)^{2}

So, the third polynomial cannot be simplified to a difference of squares since it's a sum of squares.

Hence, the polynomial that can be simplified to a difference of squares is the second polynomial:

16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}

7 0
3 years ago
Read 2 more answers
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