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defon
4 years ago
11

What is the answer to 4 - 8n + 7n - 3n - 9

Mathematics
2 answers:
MArishka [77]4 years ago
7 0
The answer is -5-4n
You get rid of the 4 and the -9
And then you combine all the terms with the n
zalisa [80]4 years ago
7 0

Answer:

-1(5 + 4n)

Step-by-step explanation:

Simplifying

4 + -8n + 7n + -3n + -9

Reorder the terms:

4 + -9 + -8n + 7n + -3n

Combine like terms: 4 + -9 = -5

-5 + -8n + 7n + -3n

Combine like terms: -8n + 7n = -1n

-5 + -1n + -3n

Combine like terms: -1n + -3n = -4n

-5 + -4n

Factor out the Greatest Common Factor (GCF), '-1'.

-1(5 + 4n)

Final result:

-1(5 + 4n)

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Antoine has $18.20 to spend on some oranges and a pumpkin. Oranges cost
Oksana_A [137]

Answer:

10 pounds

Step-by-step explanation:

You forgot the inequality sing, but since Antoine can't spend more than $18.20, I am positive that the sign is \leq (Antony can spend $18.20 or less than $18.20).

Therefore, our inequality is: 1.30x+5.20\leq 18.20

where x is the pounds of oranges

Let's solve step-by-step to find how many pounds of oranges he can buy

Step 1. Subtract 5.20 fro both sides of the inequality

1.30x+5.20-5.20\leq 18.20-5.20

1.30x\leq 13

Step 2. Divide both sides of the inequality by 1.30

\frac{1.30x}{1.30} \leq \frac{13}{1.30}

x\leq 10

We can conclude that Antony can buy 10 pounds of oranges.

7 0
3 years ago
The senior classes at High School A and High School B planned separate trips to the local
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I’m not sure if I will
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Circumfrance of a circle, (Show working)
Ronch [10]

Answer:

25.1cm

Step-by-step explanation:

C=2πr

here radius, r=4 cm and π=3.142

Put values in formula.

C=2(3.142)(4)

C=25.1 cm (Rounded to 1 decimal place)

3 0
3 years ago
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Victoria has 5 blue ribbons that are each 1 3/4 yd long. If another ribbon is 6 times as long as one Victoria's ribbon, what is
yarga [219]
The length is 10.5. 1 3/4 • 6 = 10.5.
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3 years ago
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Write the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5).
lys-0071 [83]

Answer:

(x+1)^2 + (y- 3.5)^2 =64

Step-by-step explanation:

We are given that  endpoints of a diameter at the points (7,2) and (-9,5).

Center of the circle is the mid point of diameter

So, first find the mid point of diameter

Formula : x=\frac{x_1+x_2}{2} , y=\frac{y_1+y_2}{2}

(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)

Substitute the values in formula

x=\frac{7-9}{2} , y=\frac{2+5}{2}

x=-1 , y=3.5

So, center of circle = (h,k )=(-1,3.5)

To find length of diameter :

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)

d=\sqrt{(-9-7)^2+(5-2)^2}

d=\sqrt{265}

Length of radius = r = \frac{Diameter}{2}=\frac{\sqrt{256}}{2}

Standard form of the equation of the circle : (x -h)^2 + (y- k)^2 = r^2

(h,k )=(-1,3.5)

r=\frac{\sqrt{256}}{2}

Equation of the circle : (x+1)^2 + (y- 3.5)^2 =(\frac{\sqrt{256}}{2})^2

Equation of the circle : (x+1)^2 + (y- 3.5)^2 =64

Hence  the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is  (x+1)^2 + (y- 3.5)^2 =64

5 0
4 years ago
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