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2 years ago

Write a real-world problem that could be solved using a proportion

Mathematics

2 answers:

sweet [91]2 years ago

7 0

What proportion of the pie did my mom eat if 1/2 is left? - That's a question you could use. Hope I helped!!!!!

morpeh [17]2 years ago

3 0

All the pollution in the world needs to go

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The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?

adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)$

$\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}$

$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$

3 0

2 years ago

A. 0.333<br> B. 6<br> C. 0.667<br> D. 3

kow [346]

Answer:

Step-by-step explanation:

8 0

2 years ago

In the lock (shown on picture), there are ten numbers to choose from the set of (0, 1, ..., 9) and we choose 4 of them. b How ma

nadya68 [22]

Answer:

Step-by-step explanation:

since their are 3 numbers to choose from we do 3! or 3*2*1 which is 6.

3 0

2 years ago

Given the equation 6/x=3/k+2, and the constraints x ≠ 0 and k ≠-2, what is x in terms of k?

Veronika [31]

Answer:

A) 2k+4

Step-by-step explanation:

To solve for terms of x, we need to. she sure that x is on its own side while every other term is on the other side.

To start, we will cross multiply. If we have a/b=c/d, then ad=bc

We can perform the same calculation here,

6/x=3/(k+2)

6(k+2)=3x

Divide both sides by 3

2(k+2)=x

x=2k+4

7 0

3 years ago

Please Help.<br> Write the equation of linear Inequalities to represent each graph.

DerKrebs [107]

Green Line:

This is a horizontal line at x = 0, so it would be:

x ? 0

Since the shaded area is going to the left of 0 (this means x is negative):

x ≤ 0

Blue Line:

The shaded area is below the line, so:

y ≤ mx + b

When x = 0, y is -5.

y ≤ mx - 5

From each point, you go up 3 units, and to the right 4 units, so the slope is $\frac{3}{4}$ .

$y\leq \frac{3}{4}x-5$

7 0

3 years ago