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3 years ago

how can you fluently add, subtract, mulitply, and divide decimals? how can you multiply and divide fractions?

Mathematics

1 answer:

Natasha2012 [34]3 years ago

8 0

Answer/Step-by-step explanation:

How can you fluently add, subtract, multiply, and divide decimals?

To add or subtract decimals:

1.Write the numbers vertically with the decimals lined up (if the number is a whole number then the decimal goes on the right end of the number)

2.Add zeros to make sure there are the same number of digits in each number.

3.Add or subtract as normal.

How can you multiply and divide fractions?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

Hope this help :3

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Can anyone solve this?

vekshin1

Answer: D. 61 in²

Step-by-step explanation:

This problem is asking for us to solve the area of the given circle. We will use the formula and solve.

Please note that the formula asks for the radius and 9 in is the diameter. Since the radius is half the diameter, we will divide 9 in by 2 for a radius of 4.5 in.

A = πr²

A = π(4.5 in)²

A ≈ 63.62 in²

The closest option they give to solve this problem is D. 61 in²

About 61 in² of pie crust is needed to cover the top of the pie.

3 0

2 years ago

Read 2 more answers

Find the value for the variable expression p + 5 when p = 2.

sweet [91]

Replace all the variables with their values. In this case, we know the value of the variable p.

Now the expressions p + 5 becomes 2 + 5.

2 + 5 = 7

So, C. 7 is the answer.

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4 years ago

Read 2 more answers

Irene places a mirror on the ground 24ft away from the base of an oak tree. She walks backward until she can see the top of the

soldier1979 [14.2K]

First, illustrate the problem:

24 feet is the distance between the tree and the mirror.
4 feet is the distance from Irene's eyes to the mirror.
5.5 feet is the distance of Irene's eyes from the ground.
4 feet is the distance of Irene from the mirror

From this, we can draw a right triangle and then use the Pythagorean theorem to solve for the height of the oak tree. Also, we have an option to use ratio and proportion between two similar triangles.

3 0

3 years ago

The rate of change of the mass, A, of salt at time t is proportional to the square of the mass of salt present at time t. Initia

Brums [2.3K]

Answer:

(a) -dA/dt = kA², A₀ = 10

(b) A =10/(1+ kt)

Step-by-step explanation:

(a) Find the IVP

A differential equation with an initial condition y₀ = f(x₀) is called an initial value problem.

The rate of decrease of A is proportional to A², and A₀ = 10, so the IVP is

-dA/dt = kA², A₀ = 10

(b) Solve the IVP

$\begin{array}{rcl}-\dfrac{\text{d}A}{\text{d}t} & = & kA^{2}\\\\\dfrac{\text{d}A}{A^{2}} & =&-k\text{d}t\\\\-\dfrac{1}{A} & = & -kt + C\\\\\dfrac{1}{A} & = & kt + C\\\\\end{array}$

Apply the initial condition: A₀ = 10 (when t = 0)

$\dfrac{1}{10} = C\\\\\dfrac{1}{A} = kt + \dfrac{1}{10}\\\\\dfrac{10}{A} = 10kt + 1\\\\\mathbf{A} = \mathbf{\dfrac{10}{1+ kt}}$

(c) Find the time when A(t) < 1

(i) Find the value of k (A₁₀ = 4)

$\begin{array}{rcl}A& =&\dfrac{10}{1+ kt}\\\\4 & =& \dfrac{10}{1 + 10k}\\\\4 + 40 k & = & 10\\\\40k & = & 6\\k & = & 0.15\\\end{array}\\\\\mathbf{A} =\mathbf{ \dfrac{10}{0.15t + 1}}$

(ii) Find t when A < 1

$\begin{array}{rcl}A(t) & < & 1\\\dfrac{10}{0.15t + 1} & < & 1\\\\10 & < & 0.15t + 1\\9 & < & 0.15t\\t & > & 60\\\\\end{array}\\\mathbf{A < 1} \textbf{ when }\mathbf{ t >60}$

The figure below shows the graph of A vs t.

6 0

3 years ago

A started some business with RS 26,000. After 3 month B joined him with Rs. 16,000. After some more time C joined them with Rs.

viktelen [127]

Answer:

$3$ $months$

Step-by-step explanation:

We know that the total investment period is 1 year, then since A started, A invested Rs 26,000.

Now, since A has been working for 12 months, this is where the effective investment comes in:

A effective investment = Rs 312,000

Then after 3 months, B joined, so:

12 months - 3 months = 9 months in work

B overall invested = Rs 16,000

Since B only worked nine months, we use that to find effective investment:

B effective investment = Rs 144,000

C joined x months since B joined in:

We don't know how much C worked for, but we know that C joined after B:

C investment period = 9 months - x certain amount of months

We know that C's investment is Rs 25,000

Find effective investment:

Rs 25,000 * ( 9 - x ) = Rs 225,000 - 25,000x then to find the total investment:

Add all effective investment:

Rs 312,000 + Rs 144,000 + Rs 225,000 - 25,000x

= Rs 681000 - 25,000x

We now know that C's investment is 225,000 - 25,000x

Find profit share: 225,000 - 25,000x

==> Rs 3,825

The total profit:

Rs 15,453

To get our final answer, we must do this operation:

C investment divided by Total Investment = C's profit and total profit:

( Rs 225,000 - 25,000x) ÷ ( Rs 681,000 - 25,000x ) = Rs 3,825 / Rs 15,453

25 ( Rs 9,000 - 1,000x)/(Rs 681,000 - 25,000x) = (153 * 25) /(153 * 101)

( Rs 9,000 - 1,000x ) ÷ ( Rs 681,000 - 25,000x ) = 1 / 101

Rs 909,000 - 101,000x = Rs 681,000 - 25,000x

Rs 228,000 = 76,000x

Rs 228 = 76x

x = 3

8 0

4 years ago

how can you fluently add, subtract, mulitply, and divide decimals? how can you multiply and divide fractions?​

how can you fluently add, subtract, mulitply, and divide decimals? how can you multiply and divide fractions?