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Stels [109]
3 years ago
11

Simplify the expression. n+ 3(n + 1) = 0​

Mathematics
1 answer:
laila [671]3 years ago
4 0

Answer:

n=-3/4

Step-by-step explanation:

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At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress.
vaieri [72.5K]

Given:

The system of equations that represent the constraints for the given situation is

x+y=4.25

16.90x+4y=36.35

To find:

The solution of given system of equations.

Solution:

We have,

x+y=4.25           ...(i)

16.90x+4y=36.35           ...(ii)

Multiply equation (i) by 4.

4x+4y=17           ...(iii)

Subtracting (iii) from (ii), we get

16.90x+4y-(4x+4y)=36.35-17

16.90x+4y-4x-4y=19.35

12.90x=19.35

Divide both sides by 12.90.

x=\dfrac{19.35}{12.90}

x=1.5

Put this value in (i).

1.5+y=4.25

y=4.25-1.5

y=2.75

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

5 0
3 years ago
Thomas invested $1498.00 at 6% simple interest per annum calculate How long it will be before his investment earns $449.40
valentinak56 [21]

Answer:

t = 6 years

Step-by-step explanation:

Use the simple interest formula:  i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.

Here we want to know how long it will take for the interest alone to reach $449.40.  We first solve i = prt for t, obtaining t = i/(pr).

Here, the length of time is t = ($449.40) / (0.06*$1498.00).  This works out to

t = 5.9947, or approximately 6 years.

t = 6 years

8 0
3 years ago
A local restaurant allows groups to rent out a party room in order to host events. The restaurant charges $600 to rent the room
OleMash [197]

Answer:

y = (10x + 600)/x

Step-by-step explanation:

To find the average cost, we must divide the total cost by the number of people.

The number of meals served will equal the number of people, since everybody gets just 1 meal.

Each meal is 10 dollars, plus the 600 rental fee.

The total cost will be the meal prices plus the fee, all divided by the number of people/number of meals, or x.

3 0
3 years ago
Read 2 more answers
A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and th
lakkis [162]

Answer:

the answer is 4

Step-by-step explanation:

1,3,and 4.....1+3+4=8

8÷2= 4

3 0
3 years ago
A bakery sells pastries in boxes of 7 each. If the bakery has 27 pastries, how many boxes can be filled?​
skad [1K]

Answer:

3 with a few left over so 4

Step-by-step explanation:

4 0
3 years ago
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