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4 years ago

Evaluate the expression into simplest form

Mathematics

1 answer:

sattari [20]4 years ago

5 0

Work out the top subtraction first:

3/9 - 8/12

= 1/3 - 2/3

= 1/3

and the bottom part:-

3/8 * 2 = 6/8 = 3/4

so now we divide -1/3 by 3/4

= -1/3 * 4/3 = -4/9

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A new carpet cleaning company claims that they can clean 3 times as many carpets in 1 week as another company. If both companies

inna [77]

Answer:

The number of carpets cleaned by new company per week is 249

Step-by-step explanation:

Let us assume :

The number of carpets cleaned by old company in 1 week = m

So, the number of carpets cleaned by new company in 1 week

= 3 x ( Number of carpets cleaned by old company)

= 3 (m) = 3 m

Total carpet cleaned altogether in a week = 332

So, Total Carpets cleaned by both companies in 1 week

= Number of carpets cleaned by ( Old + New) company in 1 week.

= m + 3 m = 4 m

⇒ 4 m = 332

or, m = 332 / 4 = 83 , or m = 83

Hence number of carpets cleaned by old company per week = m = 83

The number of carpets cleaned by new company per week

= 3 m = 3 x 83= 249

8 0

4 years ago

Find the value of x !!!

Marta_Voda [28]

Answer: In the upper triangle x = 33° and in the lower triangle x = 128°

Step-by-step explanation:

Upper triangle:

x = (180° - 114°) ÷ 2 = 33°

Lower triangle:

x = 180° - 26° × 2 = 128°

3 0

3 years ago

Please someone help me !

brilliants [131]

Step-by-step explanation:

a. If x is the total numbers of students in school, 35%x = 140.

0.35x = 140

x = 140/0.35 = 400

b. Since there are 400 kids in the school, 15% of them take the bus which is 0.15 * 400 = 60 kids.

3 0

4 years ago

A square with a side length of 3 units is dilated with a scale factor of 2

joja [24]

Answer:

It would be B. 6 units because you must multiply 3 and 2.

8 0

3 years ago

Read 2 more answers

The answer choices are 11 1 2.48 6

Fudgin [204]

Answer:

The ball reached its maximum height of ( $11\ yards$ ) in ( $1\ second$ ).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

$h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6$

Now factor out the coefficient of the quadratic term:

$h(t)=-5(t^2 -2t) + 6$

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

$h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6$

Now take the balancing term out of the parenthesis:

$\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))$

Simplify:

$h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11$

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

$(1, 11)$

8 0

3 years ago