3(a+1.5)=-1.5 <br> what value of a makes the equation true?

5. Write two expressions for the area of the big rectangle.

4vir4ik [10]

Answer:

Two expressions for the area are;

i) x/3 + 2·y + 6

ii) (1/3) × (x + 6·y + 18)

Step-by-step explanation:

The given dimension of the rectangle are;

The height of the rectangle, h = 1/3

The width of the smallest rectangle, w₁ = x

The width of the med sized rectangle, w₂ = 6·y

The width the large rectangle, w₃ = 18

The area, 'A', of the entire rectangular figure, the big rectangle, can be expressed as follows;

A = A₁ + A₂ + A₃

Where;

A₁ = The area of the smallest rectangle

A₂ = The area of the mid sized rectangle

A₃ = The area of the large rectangle

∴ A = (1/3) × x + (1/3) × 6·y + (1/3) × 18 = x/3 + 2·y + 6

The area of the big rectangle. 'A', can also be found as follows;

A = (1/3) × (x + 6·y + 18)

Therefore, two expressions for the area of the big rectangle are;

x/3 + 2·y + 6 and (1/3) × (x + 6·y + 18).

3 0

3 years ago

When a fraction of 12 is taken away from 17, what remain exceed one-third of seventeen by six.

vova2212 [387]

X - the fraction

$17- 12x=\frac{1}{3} \times 17+6 \\
17-12x=\frac{17}{3}+6 \\
-12x=\frac{17}{3}+6-17 \\
-12x=\frac{17}{3}-11 \\
-12x=\frac{17}{3}-\frac{33}{3} \\
-12x=-\frac{16}{3} \\
x=-\frac{16}{3} \times (-\frac{1}{12}) \\
x=\frac{16}{36} \\
x=\frac{4}{9}$

The fraction is 4/9.

5 0

3 years ago

Indicate the answer choice that best completes the statemer

Troyanec [42]

Answer:

25

Step-by-step explanation:

-25 to 0 is 25 and 25 to 0 is 25

Opposite of -25 is 25

So lettter d

7 0

3 years ago

What is the result when 3/8x + 2 1/5 is subtracted from 3 1/3x + -4 1/10

Vlad [161]

Answer: The correct answer is the last one shown in the picture

Step-by-step explanation:

It’s the correct answer because when you subtract the two given equations with like terms you will get (- 25/8x + 63/10) —> when you simplify this you get (-3 1/8x + 6 3/10)

4 0

3 years ago

In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.

frutty [35]

The perimeter of triangle ABC is 24 units

Step-by-step explanation:

There is a fact in any triangle, the segment joining the mid points of

two sides of the triangle is:

Parallel to the third side
Its length is half the length of the third side

In Δ XYZ

∵ A is the mid point of XY

∵ B is the mid point of YZ

∴ AB = $\frac{1}{2}$ XZ

∵ XZ = 18 units

∴ AB = $\frac{1}{2}$ × 18 = 9 units

∵ C is the mid point of XZ

∵ B is the mid point of YZ

∴ BC = $\frac{1}{2}$ XY

∵ AY = 7 units

∵ AY = $\frac{1}{2}$ XY

∴ 7 = $\frac{1}{2}$ XY

- Multiply both sides by 2

∴ 14 = XY

∴ BC = $\frac{1}{2}$ × 14 = 7 units

∵ A is the mid point of XY

∵ C is the mid point of XZ

∴ AC = $\frac{1}{2}$ YZ

∵ BZ = 8 units

∵ BZ = $\frac{1}{2}$ YZ

∴ 8 = $\frac{1}{2}$ YZ

- Multiply both sides by 2

∴ 16 = YZ

∴ AC = $\frac{1}{2}$ × 16 = 8 units

∵ The perimeter of any triangle is the sum of the lengths of its sides

∴ Perimeter Δ ABC = AB + BC + AC

∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units

The perimeter of triangle ABC is 24 units

Learn more:

You can learn more about triangles in brainly.com/question/10677255

#LearnwithBrainly

3 0

3 years ago

3(a+1.5)=-1.5 what value of a makes the equation true?