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Nutka1998 [239]
3 years ago
10

Solve this equation. Enter your answer in the box. 13(y+7)=3(y−1).

Mathematics
2 answers:
Fofino [41]3 years ago
5 0

★To Solve :

\rm\blue{13(y+7) = 3(y-1)}

⠀⠀⠀⠀⠀

★SOLUTION :

\rm\red\leadsto{13(y+7) = 3(y-1)}

\rm\red\leadsto{13\times{y}+13\times7= 3\times{y}-3\times1}

\rm\red\leadsto{13y+91=3y-3}

\rm\red\leadsto{13y-3y=-3-91}

\rm\red\leadsto{10y=-94}

\rm\red\leadsto{} y =\dfrac{   { \cancel{-94}}^{ \:-45 } }{   { \cancel{10}}^{ \: 5} }

\rm\red\leadsto{y=}\dfrac{-47}{5}

____________________

tatiyna3 years ago
3 0
<h2>★<u>Answer</u></h2><h2>\red{13(y + 7) = 3(y - 1)} \\  \\   \color{red}\dashrightarrow \: 13y + 91 = 3y - 3 \\  \\  \color{pink} \dashrightarrow \: 13y - 3y =  - 3 - 91 \\  \\  \pink{ \dashrightarrow \: 10y =  - 94} \\  \\  \purple{ \dashrightarrow \: y =  \frac{  \cancel{- 94} {}^{ - 47} }{ \cancel{10} {}^{5} }  }\\  \\ \green{  \dashrightarrow \:  y =  \frac{  - 47}{5} }</h2><h2>Hence, The Answer is </h2><h2>=\frac{ - 47}{5}</h2>
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3. Ravi is covering a table top in mosaic tiles that
Zinaida [17]

Answer:

432 tiles

Step-by-step explanation:

First, convert the dimensions of the table to inches.

There are 12 inches in a foot, so multiply 1.5 and 2 by 12.

1.5(12) = 18

2(12) = 24

So, the dimensions of the table in inches are 18 by 24.

Find the area of the table using the formula, A = lw

A = lw

A = (18)(24)

A = 432

So, the area is 432 square inches.

Since each tile is one square inch, the table will fit 432 of these.

So, Ravi will need 432 tiles.

7 0
3 years ago
Clea estimates that a glass contains 250.55 mL of water. The actual amount of water in the glass is 279.48 mL. To the nearest te
erica [24]

subtract the 2 to find the difference:

279.48 - 250.55 = 28.93

divide difference by actual amount:

28.93 / 279.48 = 0.1035

 rounded to the nearest tenth = 10.4%

6 0
3 years ago
In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3
masha68 [24]

Answer:

1. The amount of ice needed for the sculpture is 18 m³

2. The amount of fabric needed to manufacture the umbrella is 0.757 m²

3. The height of the cone is 37.5 cm

4. The largest possible storage area which is obtained by attaching the storage area to the back of the building is 87.11 m²

Step-by-step explanation:

1. The volume, V, of a rectangular pyramid = \dfrac{1}{3} \cdot B \cdot h

Where:

B = Base area = Length, L  × Width, W

h = Height of the pyramid = 3.6 m

L = 5 m

W = 3 m

The volume = 1/3 × 5 × 3 × 3.6 = 18 m³

The amount of ice needed for the sculpture is 18 m³

2) The surface area of a cone = π·r·s

s = Slant height

r = Radius of the cone's base = 0.4 m

h = The height of the cone = 0.45m

s = √(0.4² + 0.45²) = (√145)/20

The surface area of the cone = π × 0.4 × (√145)/20 = 0.757 m²

The amount of fabric needed to manufacture the umbrella is 0.757 m²

3) The volume, V of the cone = 150 cm³

The base area, A_b, of the cone = 12 cm²

The height of the cone = h

We note that the volume of a cone = \dfrac{1}{3} \cdot A_b \cdot h

Therefore;

\dfrac{1}{3} \times 12 \times  h = 150

4·h = 150

h = 150/4 = 37.5 cm

The height of the cone = 37.5 cm

4) The storage area at the back corner  with four sides = 100 m²

The storage area at the back of the building with three sides = 98 m²

Given that the available riling = 28 m, we have;

For maximum area the four sides should be equal, hence dimension of each side = 28/4 = 7

The area of storage space that can be fenced on four sides at the back corner = 7 × 7 = 49 m²

At the back of the building only three sides need fencing, we therefore have;

The side length = 28/3 = 9\frac{1}{3}

The area fenced = \left 9\frac{1}{3} \right  \times 9\frac{1}{3}  = 87\frac{1}{9} \ m^2 = 87.11 m²

Therefore, the largest possible storage area, 87.11 m², is obtained by attaching the storage area to the back of the building.

5 0
4 years ago
(4•6/2)v+10=4^3v+10 solve
Dimas [21]

Answer:

v=0

Step-by-step explanation:

Solve what is in the parentheses, then the exponents: 12v+10=64v+10

Subtract 64v from both sides: -52v+10=10

Subtract 10 from both sides: -52v=0

Divide by -52: v=0

8 0
3 years ago
Read 2 more answers
Which of the following is a solution to the equation -2/5x = 10?
DedPeter [7]

Answer:

-1/25

Step-by-step explanation:

-2=50x

x=-2/50

x=-1/25

3 0
4 years ago
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