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1 year ago

9

Every day in gym class, the fourth graders warm up and play a game. Today, the class warmed up for 8 minutes. Then, they played

a game for 48 minutes.How many times as long as the warm-up was the game?

1 answer:

mr Goodwill [35]1 year ago

3 0

The game was 6 times as long as the warmup.

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Answer:

23 years.

Step-by-step explanation:

It is given that the initial price of painting is $150 and its values increasing by 3% annually.

We need to find how many years will it take until it is doubled in value.

The value of painting after t years is given by

$y=150(1+0.03)^t$

$y=150(1.03)^t$

The value of painting after double is 300. Substitute y=300.

$300=150(1.03)^t$

Divide both sides by 150.

$2=(1.03)^t$

Taking log both sides.

$\log 2=\log (1.03)^t$

$\log 2=t\log (1.03)$

$t=\dfrac{\log 2}{\log (1.03)}$

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Step-by-step explanation:

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3 years ago

Please help I’m stuck on this question!

lisabon 2012 [21]

$\frac{a}{2} = \frac{3}{2 } \\ a = 3$

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3 years ago

Franco read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate, how many chapters of his history book can he r

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He can read $1\frac{7}{8}$ chapters of his history book in 1 hour.

<em><u>Explanation</u></em>

Franco read 3/8 of a chapter of his history book in 1/5 of an hour.

Suppose, he can read $x$ chapters of his book in 1 hour at this rate.

So, the equation according to the <u>ratio of 'the chapter to the time'</u> will be....

$\frac{x}{1}= \frac{\frac{3}{8}}{\frac{1}{5}}\\ \\ \frac{x}{1}=\frac{3}{8}*\frac{5}{1}\\ \\ \frac{x}{1}=\frac{15}{8} \\ \\ x= \frac{15}{8}= 1\frac{7}{8}$

So, he can read $1\frac{7}{8}$ chapters of his history book in 1 hour.

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3 years ago

A recipe requires 3.5 teaspoons of sugar to make a tart. which equation shows the number of teaspoons of sugar, y, needed to mak

tresset_1 [31]

<u> x = 3.5y </u><u>equation shows the number of teaspoons of sugar, y, needed to make </u><u>x tarts.</u>

What is the linear equation in two variable?

Any equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is called linear equation in two variable.

<u>According to the given question</u>

A recipe require 3.5 teaspoons of sugar to make a tart.

y represents the number of teaspoons of sugar.

x represents the number of tarts.

Now, for x tart 3.5y teaspoons of sugar required.

⇒ x = 3.5y

Hence, the linear equation in two variable that shows the number of teaspoons of sugar y, needed to make x number or tarts is x = 3.5y.

Learn more about linear equation in two variable.

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