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2 years ago

Q#7: Solve for the variable: 3(x+2) - 9 = 15 - 4(5x - 2) Make sure you round you answer to the nearest whole number.

Mathematics

1 answer:

masya89 [10]2 years ago

3 0

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$\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$

3(x+2)-9=15-4(5x-2)

$\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$

First use the distributive property of both sides:-

3(x+2)-9=15-4(5x-2)

3x+6-9=15-20x+8

Now add 20x on both sides:-

23x+6-9=15+8

On simplification,

23x-3=23

Add 3 to both sides:-

23x=26

Divide by 23 on both sides:-

x=26/23

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(2)

kicyunya [14]

The perimeter of the figure is 58 units

The area of the figure is 130 unit square

Your question is not properly formatted and the diagram required to solve the question is missing.

I've included the appropriate diagram.

To calculate the perimeter of the shape, we simply add up the side lengths of the visible parts of the figure.

Having said that, the perimeter is:

$Perimeter = 7 + 8 + 5 + 8 + 3 + 6 + 3 + 5 + 7 + 6$

$Perimeter = 58$

To calculate the area, we use a different approach.

First, we split the figure into 3, we then calculate the area of each sub-figure, and then we add up the calculated areas.

From left to right, we have:

Rectangle 1

$Length = 7\\Width = 6$

Rectangle 2

$Length = 5\\Width = 6+8 = 14$

Rectangle 3

$Length = 3\\Width = 6$

The area of a rectangle is:

$Area = Length * Width$

So, the area of the figure is:

$Area = 7 * 6 + 5 * 14 + 3 * 6$

$Area = 130$

Learn more at:

brainly.com/question/2649416

5 0

3 years ago

Help me please I’m struggling to much

forsale [732]

Answer:

$\frac{16}{5}$ or $3.2$

Step-by-step explanation:

The given triangles are similar, meaning that their corresponding sides are proportional.

The length of DC (I think its D) is 15 and the length of WZ is 3. ZY is in the same place as CE (16). Make a proportional relationship where Δ→Δ:

$\frac{large}{small} =\frac{large}{small}$

$\frac{DC}{WZ}=\frac{CE}{ZY}$

Insert the known values:

$\frac{15}{3}=\frac{16}{x}$

x is the value of ZY. Solve by cross multiplying:

$15(x)=3(16)\\\\15x=48$

Divide both sides by 15:

$\frac{15x}{15} =\frac{48}{15} \\\\x=3.2$

ZY is 3.2.

:Done

6 0

4 years ago

Multiple Choice

Elina [12.6K]

Congruent means same as so angle 5 is correct

8 0

3 years ago

What

Nataly_w [17]

I assume you want the equation to be solved, so this is a quadratic simultaneous equation.

y = x^2-x-3 ——— (1)
y = -3x+5 ——— (2)

Sub (1) into (2)
(This is the first three steps provided)

x^2-x-3 = -3x+5
0 = x^2+2x-8
0 = (x-2)(x+4) ——— (3)

Solve for x in (3):

x-2 = 0
x = 2

x+4 = 0
x = -4

Sub x into (2)

y = -3(2) + 5
y = -1

y = -3(-4) + 5
y = 17

Hence the solution sets are:

x=2, y=-1
x=-4, y=17

8 0

3 years ago

Find a pair of positive integers for and b in these questions<br> 18 + 65 = 1865<br> 23 + 7 = 2314

Mekhanik [1.2K]

Answer:

a=100

b=1

Step-by-step explanation:

18a+65b=1865

23a+7b=2314

We need to make one of the variables equal to the other

So...

The LCM for 65 and 7 is 455

So multiply 7 with 18a+65b=1865

and Multiply 65 with 23a+7b=2314

7 times 18a+65b=1865 is 126a+455b=13055

65 times 23a+7b=2314 is 1495a+455b=150410

So Subtract 126a+455b=13055 and 1495a+455b=150410

So 1369a=137355

Divide:

Which is about 100 (The actual value is 100.3323594)

Thus a=100

Substitute:

b=1

Hope this helps!

(The answer is rounded)

6 0

3 years ago