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Mamont248 [21]
3 years ago
13

How did they go from =-9/2(x+6) to =-9/2x-54/2 ???

Mathematics
2 answers:
katrin [286]3 years ago
6 0
X=6 is what I got kinda
kramer3 years ago
4 0

Hi, I don't know if you still need the answer, but here you go:

Answer:

They used distributive property.

Step-by-step explanation:

They multiplied -9/2 times "x" and then, times "+6".

First, you get -9/2x for the first term in the parenthesis.

Second, you multiply -9/2 times 6 in the form of a fraction.

* When multiplying fractions, you multiply straight across so:

-9/2 × 6/1 = -54/2

Leaving you with:

-9/2x-54/2

The -54/2 simplifies into -27, which gives you:

-\frac{9}{2}x - 27

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The length of a rectangle is six inches more than its width. If the perimeter of the rectangle is 24 inches, find its dimensions
Artemon [7]

Answer:

length= 9

width= 3

Step-by-step explanation:

x= width

length = x+6

x+6+x+6+x+x=24

4x+12=24

take 12 from both sides

4x= 12

x=3

8 0
3 years ago
alex wants to buy the same number of stamps and envelopes dancer sold in packs of 14 and envelopes are sold and packs of 10 what
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5 packs of stamps and 7 packs of envelopes. There will be a total of 70 envelopes and stamps.
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4 years ago
A manager bought 12 pounds of peanuts for $30. He wants to mix $5 per pound cashews with the peanuts to get a batch of mixed nut
seraphim [82]

Answer:

18 pounds of cashews are needed.

Step-by-step explanation:

Given;

A manager bought 12 pounds of peanuts for $30.

Price of peanut per pound P = $30/12 = $2.5

Price of cashew per pound C = $5

Price of mixed nut per pound M = $4

Let x represent the proportion of peanut in the mixed nut.

The proportion of cashew will then be y = (1-x), so;

xP + (1-x)C = M

Substituting the values;

x(2.5) + (1-x)5 = 4

2.5x + 5 -5x = 4

2.5x - 5x = 4 -5

-2.5x = -1

x = 1/2.5 = 0.4

Proportion of cashew is;

y = 1-x = 1-0.4 = 0.6

For 12 pounds of peanut the corresponding pounds of cashew needed is;

A = 12/x × y

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18 pounds of cashews are needed.

4 0
3 years ago
Jenna can clean the gutters at her house in four hours. Her older brother, John, can clean the gutters in three hours, if they w
OlgaM077 [116]

Answer:

1 hour and 42.8 minutes

Step-by-step explanation:

To answer this question let's call t_1 while it takes Jenna to clean the gutters

Let's call t_2 while it takes John to clean the gutters

t_1 = 4 h

t_2 = 3 h

t = total time

g = job = 1 (clean the gutters)

The speed of each one is:

V_1 = \frac{1}{4} g/ h

V_2 = \frac{1}{3} g/h

V = V_1 + V_2 = \frac{g}{t} = \frac{1}{t}

So:

V = V_1 + V_2 = \frac{1}{4} +\frac{1}{3}

\frac{1}{t} = \frac{1}{4} + \frac{1}{3}= \frac{7}{12} g/h

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Then, both together paint \frac{7}{12} of gutters for each hour.

This means that it takes \frac{12}{7}  hours to clean the gutters together

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