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e-lub [12.9K]
3 years ago
11

Combine like terms to create an equivalent expression. 4(1.75y-3.5)+1.25y

Mathematics
1 answer:
a_sh-v [17]3 years ago
3 0

Expand

7y - 14 + 1.25y

Collect like terms

(7y + 1.25y) - 14

Simplify

<u>8.25y - 14</u>

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the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms​
Travka [436]

Answer:

S_5=\dfrac{170}{9}

Step-by-step explanation:

Given that,

The sum of first n term of a sequence isS_n=20-\dfrac{10}{2n-1}

We need to find the sum of the first 5 terms.

Put n = 5,

S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}

So, the sum of first 5 terms is equal to \dfrac{170}{9}.

6 0
3 years ago
Five more than the product of a number and 9 is equal to 8
Zinaida [17]

Answer:

What is the question?

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
I have a 79.43 and if I add 10% would it raise it to 80% grade wise
Nezavi [6.7K]

Answer:

87 grade

Step-by-step explanation:

if yo add a 10% overall grade to you 79.43 you will get an 87.373

79.43 x 10% = 7.943 (points added bc of your 10%added)

79.43 + 7.943 = 87.373

round it and you'll have 87 overall grade

4 0
2 years ago
Combine the following expressions.
Keith_Richards [23]

Answer:

second option

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplifying the radicals

\sqrt{27x^{3} }

= \sqrt{9(3)x^2.x}

= \sqrt{9} × \sqrt{3} × \sqrt{x^2} × \sqrt{x}

= 3 × \sqrt{3} × x × \sqrt{x}

= 3x\sqrt{3x}

-------------------------------

\sqrt{12x^{3} }

= \sqrt{4(3)x^2.x}

= \sqrt{4} × \sqrt{3} × \sqrt{x^2} × \sqrt{x}

= 2 × \sqrt{3} × x × \sqrt{x}

= 2x\sqrt{3x}

---------------------------------------

Thus

3 × 3x\sqrt{3x} - 2 × 2x\sqrt{3x}

= 9x\sqrt{3x} - 4x\sqrt{3x}

= 5x\sqrt{3x}

8 0
3 years ago
Mr. Jamison will stain the deck in his backyard, the deck has an area of 752.4 sqaure feet. If the deck is 33 feet long how wide
shtirl [24]

answer:The width of the deck is 22.8 feet.

Step-by-step explanation:

Since we have given that

Area of the deck = 752.4 square feet

Length of deck = 33 feet

Let width of deck be 'x'.

Since Deck is in the shape of rectangle.

As we know the formula for "Area of rectangle ":

\begin{gathered}Area=Length\times width\\\\752.4=33\times x\\\\\dfrac{752.4}{33}=x\\\\22.8=x\end{gathered}

Area=Length×width

752.4=33×x

33

752.4

=x

22.8=x

Hence, the width of the deck is 22.8 feet.

6 0
2 years ago
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