<img src="https://tex.z-dn.net/?f=26%20-%202%2810%20-%201%29%20%2B%20%283%20%2B%204%20%5Ctimes%2011%29" id="TexFormula1" title="

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Molodets [167]

3 years ago

26 - 2(10 - 1) + (3 + 4 \times 11)" alt="26 - 2(10 - 1) + (3 + 4 \times 11)" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

5 0

$26-2\left(10-1\right)+\left(3+4\cdot 11\right)$

$26-(2)(9)+3+(4)(11)$

$26-18+3+(4)(11)$

$8+3+(4)(11)$

$8+3+44$

$8+47$

$55$

"55 is correct answer".

Hope this helps!

Thanks!

-Charlie

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The height of a rectangular prism is 3 feet. The length and width can be expressed as x-1 and x+4. If the volume of the prism is

SashulF [63]

Answer:

Step-by-step explanation:

Volume = 198 ft

length * width * height = 198

(x - 1) * (x + 4) * 3 = 198

(x - 1) * (x + 4) = 198/3

(x - 1) * (x + 4) = 66

x*x + x*4 -1*x - 1*4 = 66 {Use FOIL method to multiply}

x² + 4x - x - 4 = 66

x² + 3x - 4 =66

x² + 3x - 4 - 66 = 0

x² + 3x - 70 = 0

Now factorize.

x² + 10x - 7x - 7*10 = 0

x(x +10) - 7(x + 10 ) = 0

(x + 10)(x - 7) = 0

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x = 7

length = x - 1 = 7 - 1 = 6ft

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4 0

3 years ago

Given that the series kcoskt kº +2 k=1 converges, suppose that the 3rd partial sum of the series is used to estimate the sum of

3241004551 [841]

Answer:

Step-by-step explanation:

Given that:

$\sum \limits ^{\infty}_{k=1} \dfrac{kcos (k\pi)}{k^3+2}$

since cos (kπ) = $-1^k$

Then, the series can be expressed as:

$\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^kk)}{k^3+2}$

In the sum of an alternating series, the best bound on the remainder for the approximation is related to its $(n+1)^{th$ term.

∴

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3 years ago

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Anni [7]

Answer:

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exponent of y is 0

Step-by-step explanation:

you need to combine all powers (exponents) of x, and all exponents of y separately.

remember : x to the power of a divided by x to the power of b is x to the power of (a-b).

when multiplying, the "-" turns into a "+".

so, we have actually for x the exponent calculation :

8 - 14 -(-39) = 8 - 14 + 39 = 33

so, x³³ remains.

and for the y exponents

-26 -(-5) -(-21) = -26 + 5 + 21 = 0

so, all the y expressions eliminate each other and y⁰ remains.

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3 years ago

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,159 was collected on the sale of 1,339 ticket

ivolga24 [154]

Answer:

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Step-by-step explanation:

Let "a" represent the number of adult tickets sold. Then 1339-a is the number of student tickets sold. The revenue collected was ...

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vodka [1.7K]

Please take 1 minute, and really read the example solution
under problem #12. All of the other eight problems on the
sheet are solved in exactly the same way:

Multiply each side of the equation by the denominator of
the fraction ... the number under the variable (the letter).

This easy step will get you the answer to each of the
eight problems.

I can't help noticing that the title of the sheet is 'extra PRACTICE' .
If someone handed you the answers, then you would not get the
practice. That would be just like stealing from you, and would be
just plain mean.

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