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irinina [24]
3 years ago
6

What is the solution of this equation 4(4x+ 1) = 3x - 4(6 - x) + 8

Mathematics
2 answers:
ozzi3 years ago
5 0

Answer:

x= -4.25

Step-by-step explanation:

4*4x= 16x

4*1=4

16x+1=3x-24+4x+8

16x+1=12x-16

-12x    -12x

4x+1=-16

    -1    -1

4x/4=-17/4

x=-4.25

ExtremeBDS [4]3 years ago
4 0

Answer:

Step-by-step explanation:

the answer is 45 because once you divide the 3x you gonna get 5 hope this helps

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Isabelle bought some stationery. 1/3 of them were pencils. 5/8 of the remainder were erasers and the rest were rulers. The cost
kobusy [5.1K]

Answer:

Isabelle spent $52.50 more on Erasers than rulers.

Step-by-step explanation:

Step 1

Find the quantity of each stationery bought in fraction

Let us represent the total fraction of what Isabelle bought as: x

1/3x = quantity of pencils bought

5/8 of the remainder = quantity of erasers bought

The remainder = x - 1/3x = 2/3x

5/8 of 2/3x = 5/8 × 2/3x = 5/12x

Hence, 5/12x = quantity of erasers bought

The rest is rulers

1 - (1/3 + 5/12)

1 - (4 + 5/12)

1 - 9/12

1 - 3/4

= 1/4x

Hence, 1/4 = quantity of rulers bought.

Step 2

We find the number of stationeries that Isabelle bought.

The cost of the stationery is

a Pencil: $1.20

an eraser: $1

a ruler: $0.50.

Total amount spent on stationery = 169.50

We have this equation

1.20 × 1/3x + 1 × 5/12x + 0.50 × 1/4x = 169.50

0.4x + 0.4166666667x + 0.125x =

169.50

0.9416666667x = 169.50

x = 169.50 /0.9416666667

x = 179.99999999

Approximately , the number of stationeries that Isabelle bought = x = 180

Step 3

Find the number and the amount spent on each stationery that Isabelle bought

a) i) Quantity of pencils bought = 1/3 x

x = 180

= 1/3 × 180

= 60 pencils

ii) Amount spent on pencils

If 1 pencil = $1.20

60 pencils =

60 × 1.20 = $72

b) i) Quantity of Erasers bought = 5/12x

x = 180

= 5/12 × 180

= 75 pencils

ii) Amount spent on Eraser

If 1 pencil = $1

75 pencils =

75 × 1 = $75

c) i) Quantity of rulers bought = 1/4 x

x = 180

= 1/4 × 180

= 45 pencils

ii) Amount spent on pencils

If 1 pencil = $0.50

45 pencils =

45 × 0.50 = $22.50

Step 4

We were asked to calculate how much more did she spend on erasers than rulers.

In step 3, the amount spent on Erasers = $75

the amount spent on ruler = $22.5

The difference in the amount spent = $75 - $22.5

= $52.5

Therefore, Isabelle spent $52.50 more on Erasers than rulers.

3 0
3 years ago
Graph y equals -7 / 3 x + 2​
Marina86 [1]

Answer:

Step-by-step explanation:

4 0
3 years ago
Raegan needs 2 boards to make a shelf one board is 1 1/2 m long and the other is 3 1/2 m long what is the total length of the sh
ollegr [7]

Answer:

5 m

Step-by-step explanation:

Find the total length of the shelf by adding together the lengths of the two boards:

1 1/2 + 3 1/2

= 5

So, the total length of the shelf is 5 m

6 0
2 years ago
Find the approximate side length of a square game board with an area of 157 in^2.
Nesterboy [21]

Answer:

12.52 in.

Step-by-step explanation:

Area of square(A)=157in^2

length of square (l)=?

we know,

A=l^2

or,sqrt 157=l

12.52 in=l

3 0
2 years ago
Are x and y inversely proportional in the table below?
rosijanka [135]
Answer: yes they are

Example: if you don’t believe me check for yourself :)
6 0
2 years ago
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