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2 years ago

Without using a calculator, what is 30% of 546? (You can round up to avoid decimal points)

Mathematics

2 answers:

evablogger [386]2 years ago

8 0

Explanation: Set up your equation as you read through the problem.

"What" means x, "is", equals, "30%", 30/100, "of", times, "546", 546.

So our equation reads x = 30/100 · 546.

Simplifying on the right side of the equation,

we can reduce 30/100 to 3/10.

So we have x = 3/10 · 546.

Now multiply across the numerators and denominators to get 1638/10.

This reduces to 819/5 which can be written as 163.8.

madreJ [45]2 years ago

5 0

Answer:

Hey there!

We can solve this by multiplying 0.3 by 546, which is about 164.

Hope this helps :)

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Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours. How many hour

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Answer:

12 hours

Step-by-step explanation:

Let Theo's siste can paint a fence in x times

Given.

Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours.

$\frac{1}{x}+\frac{1}{3x} =\frac{1}{9}\\\frac{3+1}{3x} =\frac{1}{9} \\\frac{4}{3x}=\frac{1}{9}$

Apply cross multiplication

$x=\frac{9\times 4}{3}\\x=\frac{36}{3} \\x=12hours$

Theo’s sister to paint the fence in 12 hours.

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2 years ago

Raj and aditi like to play chess against each other. aditi has won 12 of the 20 games so far. they decide to play more games. ho

Novay_Z [31]

Answer:

How many more games will Aditi have to win to have an 80% winning record?

The linear equation that models this is:

12 + x = 0.80(x+20)

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2 years ago

Read 2 more answers

Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How

mixer [17]

To solve this, we are going to use the compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ is the final amount after $t$ years
$P$ is the initial investment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year

For the first 4 years we know that: $P=2350$ , $r= \frac{4.2}{100} =0.042$ , $t=4$ , and since the problem is not specifying how often the interest is communed, we are going to assume it is compounded annually; therefore, $n=1$ . Lest replace those values in our formula:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2350(1+ \frac{0.042}{1} )^{(1)(4)}$
$A=2350(1+0.042)^{4}$
$A=2770.38$

Now, for the next 6 years the intial investment will be the final amount from our previous step, so $P=2770.38$ . We also know that: $r= \frac{4.9}{100} =0.049$ , $t=6$ , and $n=1$ . Lets replace those values in our formula one more time:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2770.38(1+ \frac{0.049}{1})^{(1)(6)$
$A=2770.38(1+0.049)^6$
$A=3691.41$

We can conclude that Collin will have £3691.41 in his account after 10 years.

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2 years ago

Two hundred randomly selected people were asked to state their primary source for news about current events: (1) Television, (2)

NeTakaya

Answer:

Step-by-step explanation:

Hello!

You have a sample of 200 people, they were asked their primary source of news, categorized in (1) Television, (2) Radio, (3) Internet and (4) Other.

And your objective is to test if the proportions in this sample follow the known frequencies 10%, 30%, 50%, and 10%.

The propper statistic test to use to probe if the sample follows the known or historical distribution is Chi-Square goodness of fit test. In this test, what you state in the null hypothesis is the model or distribution you want to test. In this case, you've to write down the proportions for each category:

H₀: P(1)= 0.10; P(2)= 0.30; P(3)= 0.50; P(4)= 0.10

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2 years ago

Using the GCF you found in Part B, rewrite 35 + 63 as two factors. One factor is the GCF and the other is the sum of two numbers

nikklg [1K]

__7_|_35+63_
_____|__9+5__
35+63=7(9+5)=714=98 or 35+63=98

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2 years ago