All categories

3 years ago

What is the...

1 answer:

4 0

To solve problems like these, we simply need to break down the words and form the equation.

In this case, we start off with "The quotient," so we know we are talking about division. Next, we see "of 24 and," which means it has to be "24/ something."

24/

Finally, for this one, we see "twice a number." Number almost always means the variable (n), while twice means 2. This gives us 2n.

24/2n

Using the reasoning above, we can see that the first problem could be represented by 24/2n.

For the second problem, we can use the same reasoning on different values. We start off with "4 times," which can be represented as 4*.

4*

Next, we have "a number," which as stated previously, is almost always our variable (n).

4*n OR 4n

Finally, we have "decreased by two." Decreased generally refers to subtraction, while 2 is the value we are subtracting.

4n-2

Using the reasoning above, we can see the equation to represent the second problem is 4n-2.

You might be interested in

|-19+9|/3-|14-22|/9 give me an answer

MArishka [77]

Answer:22/

= 2 4/

≅ 2.4444444

Step-by-step explanation:

Add: -19 + 9 = -10

Absolute value: abs(the result of step No. 1) = abs(-10) = 10

Divide: the result of step No. 2 / 3 = 10 / 3 = 3.3333333333333 = 10/

Subtract: 14 - 22 = -8

Absolute value: abs(the result of step No. 4) = abs(-8) = 8

Divide: the result of step No. 5 / 9 = 8 / 9 = 0.88888888888889 = 8/

Subtract: the result of step No. 3 - the result of step No. 6 = 10/

- 8/

= 10 · 3/

3 · 3

- 8/

= 30/

- 8/

= 30 - 8/

= 22/

6 0

2 years ago

A plumbing supply company has fixed costs of $9,000 per month and average variable costs of $9.30 per unit manufactured. The com

nekit [7.7K]

Answer:

8710 units

Step-by-step explanation:

Step 1: Write all the data

Fixed cost: $9000

Average variable cost: 9.3 per unit

Total cost: 90,000

Total units: x

Step 2: Find the total variable cost

Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.

Total variable cost = average variable cost per unit x number of units

Total variable cost = 9.3x

Step 3: Make the formula for finding x

Total cost = total fixed cost + total variable cost

90,000 = 9000 + 9.3x

81000 = 9.3x

x = 8709.67

Rounded off to 8710 units

3 0

3 years ago

Given:

diamong [38]

Answer:

10-5 $\sqrt{2}$

Step-by-step explanation:

As per the attached figure, right angled $\triangle MDL$ has an inscribed circle whose center is $I$ .

We have joined the incenter $I$ to the vertices of the $\triangle MDL$ .

Sides MD and DL are equal because we are given that $\angle M = \angle L = 45 ^\circ.$

Formula for area of a $\triangle = \dfrac{1}{2} \times base \times height$

As per the figure attached, we are given that side a = 10.

Using pythagoras theorem, we can easily calculate that side ML = 10 $\sqrt{2}$

Points P,Q and R are at $90 ^\circ$ on the sides ML, MD and DL respectively so IQ, IR and IP are heights of $\triangle$ MIL, $\triangle$ MID and $\triangle$ DIL.

Also,

$\text {Area of } \triangle MDL = \text {Area of } \triangle MIL +\text {Area of } \triangle MID+ \text {Area of } \triangle DIL$

$\dfrac{1}{2} \times 10 \times 10 = \dfrac{1}{2} \times r \times 10 + \dfrac{1}{2} \times r \times 10 + \dfrac{1}{2} \times r \times 10\sqrt2\\\Rightarrow r = \dfrac {10}{2+\sqrt2} \\\Rightarrow r = \dfrac{5\sqrt2}{\sqrt2+1}\\\text{Multiplying and divinding by }(\sqrt2 +1)\\\Rightarrow r = 10-5\sqrt2$