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Aliun [14]
3 years ago
14

simplify the difference. (–7x – 5x4 5) – (–7x4 – 5 – 9x) a. 2x4 2x 10 b. –14x4 10x 10 c. –14x4 – 10x 10 d. 2x4 2x 8

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
8 0
If you would like to simplify the difference <span>(–7x – 5x^4 + 5) – (–7x^4 – 5 – 9x), you can do this using the following steps:

</span><span>(–7x – 5x^4 + 5) – (–7x^4 – 5 – 9x) = -7x - 5x^4 + 5 + 7x^4 + 5 + 9x = 2x^4 + 2x + 10

The correct result would be </span><span>a. 2x^4 + 2x + 10.</span>
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What is the surface area of the figure? Can you please explain how to get it
goldenfox [79]

Answer:

The surface area of the solid = 582 feet²

Step-by-step explanation:

* At first lets study the solid

- it consists of 8 faces

- One base with dimensions 15 and 4 feet (1)

- Two side faces L-shaped with dimensions 15 , 4 , 9 ad 6 feet (2)

- One side face with dimensions 4 and 15 feet (3)

- One side face with dimensions 9 and 4 feet (4)

- One side face with dimensions 6 and 4 feet (5)

- One top base with dimensions 9 and 4 feet (6)

- One top base with dimensions 6 and 4 feet (7)

* Now lets find the area of the faces

- A(1) = 15 × 4 = 60 feet² ⇒ rectangular face

* We can find the area of L-shaped by this way

∵ Area of the square face = 15 × 15 = 225 feet²

∵ Area of the small rectangle = 9 × (15 - 9) = 54 feet²

- Lets subtract the area of the small rectangle from the area of

  the square, to find the area of the L-shaped

- A(2) = 2 ( 225 - 54) = 2 (171) = 342 feet²

- A(3) = 4 × 15 = 60 feet² ⇒ rectangular face

- A(4) = 9 × 4 = 36 feet² ⇒ rectangular face

- A(5) = 6 × 4 = 24 feet² ⇒ rectangular face

- A(6) = 9 × 4 = 36 feet² ⇒ rectangular face

- A(7) = 6 × 4 = 24 feet² ⇒ rectangular face

* Lets add all of these areas to find the surface area of the solid

∴ The S.A = 60 + 342 + 60 + 36 + 24 + 36 + 24 = 582 feet²

5 0
3 years ago
Renting a porch for the day there is a $50. Fee plus .50 per mile with a budget of $100. How many miles can you go
UkoKoshka [18]

Answer:2

Step-by-step explanation:

3 0
2 years ago
A company's stock begins the week with a price of $43.85 per share. THe price changes by +$2.70 each day for the first two days,
mixas84 [53]

Given:

Initial price of the stock=$43.85

Change for the first two days=+$2.70

Change for next two days=-$1.10

Last day=-$4.45

The objective is to find the price at the last day.

Let's take the price at final day as <em>x</em>.

\begin{gathered} x=43.85+2.70+2.70-1.10-1.10-4.45 \\ x=42.6 \end{gathered}

Hence, the price of the stock at the last day is $42.6

5 0
1 year ago
Can you guys distribute -9n-8-3n=6n-8 and figure out how many solutions it has plz
nydimaria [60]
First combine like terms (-9n-3n=-12n)
Then, subtract 6n on both sides (to get rid of the 6n) = -18n
Then, add 8 to both sides (does not matter) = 0
Finally divide (answer is 0)
7 0
3 years ago
I need help with both of these questions please
tankabanditka [31]

Answer:

\frac{22}{30} = \frac{11}{15}

and

\frac{176}{7} = 25 \frac{1}{7}

Step-by-step explanation:

First make all the fractions into improper fractions

1\frac{5}{6} = \frac{11}{6} \\\\2\frac{1}{2} = \frac{5}{2} \\\\3\frac{1}{7} = \frac{22}{7}

After doing that put them back into the problems

Problem 1)

1\frac{5}{6}  ÷ 2\frac{1}{2} , plug in the improper fractions

\frac{11}{6} ÷ \frac{5}{2}

to divide, you need to flip the second fraction and multiply

\frac{11}{6}· \frac{2}{5} = \frac{22}{30}

then reduce

\frac{22}{30} = \frac{11}{15}

Problem 2)

3\frac{1}{7}÷ \frac{1}{8}\\

Plug in improper fraction

\frac{22}{7} ÷ \frac{1}{8}\\

Then flip second fraction and multiply

\frac{22}{7} · \frac{8}{1}

Multiply

\frac{176}{7}

Reduce, or make it a mixed number

\frac{176}{7} = 25 \frac{1}{7}

3 0
3 years ago
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