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2 years ago

Tiara earns $33 washing 3 cars. At this rate, how much does Tiara earn washing 9 cars?

Mathematics

2 answers:

blondinia [14]2 years ago

6 0

Answer:

<h2>$99 (Verified Answer) ✅</h2>

Step-by-step explanation:

The best way to solve this is to use a proportion. However, since this is a rate, we could also find the unit rate and multiply it by the number of cars Tiara is washing.

<h3><u>Method 1: Proportion</u></h3>

$\frac{33}{3} = \frac{x}{9}$

3x = 33 x 9

3x = 297

Now, we simply divide by 3 to get $99.

We can check this by substituting the value of x in the original proportion.

3(99) = 33 x 9

297 = 297 ✅

<h3><u>Method 2: Unit Rate</u></h3>

The other way to solve this is to divide the whole expression by the number of cars to find the unit rate. In other words, how much money does she get for washing 1 car. We can then multiply this by the number of cars to get the answer.

$33/3 for 3/3 cars

$11 for 1 car

Now, we will multiply by the number of cars she washes in this question, which is 9

$11 x 9 = 99 for 1 x 9 cars

$99 for 9 cars

Again, we have the correct answer, which we have already verified by the process above. As you can see, both methods work. However, the top method is easier and since it uses algebra, is almost foolproof, so long as the algebraic processess are followed.

<h2>Hope this answer has helped, please mark it brainliest if it did :)</h2>

kupik [55]2 years ago

5 0

Answer:

$99

Step-by-step explanation:

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Susan Johnson earns a yearly salary of $83,280. a. How much would Susan be paid if she were

Umnica [9.8K]

Just divide the 83,280 by 12, when you do that you get 6940. So 6940 is how much she makes per month then you take that 6940 and divide it by 4 to get what she makes per week, when you do that you get 1735.

So, Susan Johnson would earn 6940$ per month if she would be paid per month and if she was paid per week she would earn 1735$ per week.

5 0

2 years ago

NEED HELP ASAP!!!!!!!!!!!

zhenek [66]

The equation $x=tan^{-1}(\frac{12}{5})$ can be used to find the measure of ∠BAC ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

$sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}$
$cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}$
$tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}$

In Δ ABC

∵ ∠ BCA is a right angle

∴ The hypotenuse is AB

∵ The adjacent side to ∠CAB is AC

∵ The opposite side to ∠CAB is BC

∵ AB = 13 units ⇒ hypotenuse

∵ CB = 12 units ⇒ opposite

∵ AC = 5 units ⇒ adjacent

- Let us find the trigonometry ratios of angle BAC

∵ m∠CAB is x

∵ $sin(x)=\frac{BC}{AB}$

∴ $sin(x)=\frac{12}{13}$

∴ $x=sin^{-1}(\frac{12}{13})$

∵ $cos(x)=\frac{AC}{AB}$

∴ $cos(x)=\frac{5}{13}$

∴ $x=cos^{-1}(\frac{5}{13})$

∵ $tan(x)=\frac{BC}{AC}$

∴ $tan(x)=\frac{12}{5}$

∴ $x=tan^{-1}(\frac{12}{5})$

The equation $x=tan^{-1}(\frac{12}{5})$ can be used to find the measure of ∠BAC

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0

2 years ago

Read 2 more answers

If the odds against Deborahs winning first prize in a chess tournament are 1 to 11 what is the probability of the event that she

Lemur [1.5K]

Answer: $\dfrac{11}{12}$

Step-by-step explanation:

Given

The odds against winning in a chess tournament are 1 to 11.

Odds is defined as the ratio of the probability of occurrence to the non-occurrence of event.

$\therefore \text{Probability that event will occur is P'=}\dfrac{1}{1+11}\\\\\Rightarrow P'=\dfrac{1}{12}$

Probability of non-occurrence i.e. she wins the first prize is

$\Rightarrow P=1-\dfrac{1}{12}\\\\\Rightarrow P=\dfrac{11}{12}$

7 0

2 years ago

Today only, a table is being sold for $714. This is 85% of its regular price. What was the price Yesterday

ASHA 777 [7]

Answer:

$840

Step-by-step explanation:

To do this, we can use our formula for solving percents. $\frac{Part}{Whole}$ = $\frac{Percent}{100}$

The part here is $714 because this is only 85% of the original price which is the whole. Our whole in this problem will be x. As for the percent, we will write 85.

We now have $\frac{714}{x}$ = $\frac{85}{100}$