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3 years ago

There are only red counters, blue counters and green counters in a bag.

Mathematics

1 answer:

Citrus2011 [14]3 years ago

5 0

Its more blue counters than red counters so most likely his random pick is going to be a blue counter

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The sum of twice the number x and 25 more than three times the number y

inn [45]

Answer:

Correct expression:

$2x + 3y + 25$

6 0

2 years ago

Michelle listed her three children as equal beneficiaries on her life insurance policy. If she has a $400,000 policy, how much w

Flauer [41]

All 3 of her children will receive 133,333.3333

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3 years ago

If R is the midpoint of QS, RS= 2x - 4, ST = 4x-1, and RT = 8x - 43, find QS.

Pepsi [2]

Answer: QS=68 units

Step-by-step explanation:

RT=RS+ST

8x-43=2x-4+4x-1

8x-43=6x-5

8x-43-6x=6x-5-6x

2x-43=-5

2x-43+43=-5+43

2x=38

Divide both parts of the equation by 2:

x=19

QS=RS+RQ

As, RS=RQ

QS=2RS

QS=(2)((2)(19)-4))

QS=(2)(38-4)

QS=(2)(34)

QS=68

6 0

1 year ago

There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model

Helga [31]

$\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill$

$A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}$

7 0

2 years ago

Peter is saving to buy a camera. The camera costs $50. Peter has already saved $23.25. His plan is to save $4.50 every week to s

Virty [35]

Answer:

m ≥ 6

Here, m is the number of weeks Peter need to save money.

Step-by-step explanation:

The cost of the camera = $50

The amount of money already saved = $23.25

The money saved in 1 week = $4.50

Now, The TOTAL money LEFT to be saved = Total camera cost - Money already saved

= $50 - $23.25 = $26.75

So, there is $26.75 yet to be saved.

Let us assume it takes m weeks to save $26.75.

So, money saved in m weeks = m x ( Money saved in 1 week)

or, $26.75. = m x ( $4.50)

or, m = $26.75 /$4.50 = 5.94

or, m = 5.94 ≈ 6 weeks

So, the money saved in at least 6 weeks = $26.75.

Hence, it would take AT LEAST 6 weeks to save up enough amount to buy the camera which costs $50.

⇒ m ≥ 6

8 0

3 years ago