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Bess [88]
4 years ago
12

Suppose i uncharacteristically give you a multiple-choice test with 10 questions, each having 5 possible answers. how many possi

ble ways could you fill out this test assuming you are required to give exactly one answer to every question?
Mathematics
1 answer:
vodka [1.7K]4 years ago
8 0
9765625 different ways. Do 5 to the 10th power.
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Rex took out a loan for $5000 and planned to pay it back in 4 years. If he paid $600 in interest for those 4 years, what was the
Gwar [14]

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$600\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &4 \end{cases} \\\\\\ 600=5000(\frac{r}{100})(4)\implies \cfrac{600}{5000(4)}=\cfrac{r}{100}\implies \cfrac{3}{100}=\cfrac{r}{100}\implies \boxed{3=r}

7 0
2 years ago
A rose garden in the city park is rectangular and is 9m wide. If the area of the rectangle is 144m, what is the length of the ga
Keith_Richards [23]

Answer:

So 144 divided by 9 equals 16 so the length is 16. Cause 16 x 9 = 144 Your Welcome !

Step-by-step explanation:

4 0
3 years ago
A cat keeps eating to gain weight while a dog keeps doing exercise.Later, the cat's weight increases by 20% and the dog's weight
lesya [120]

Answer:

Step-by-step explanation:

We will call the dog's original weight d and the cat's c.  according to the problem 1.2c=.9d

1.2c is the cat's weight increased by 20% and .9d is the dog's weight decreased by 10%  Now we just solve this with algebra for the dog's original weight.

1.2c=.9d

(1.2/.9)c = d

(4/3)c = d

Now, this tells us that the dog's original weight was 4/3 of the cat's.or  about 33.33% larger

It kinda looks like the question is then asking what the cat's current weight is  in comparison to the dog's original.  If that's the case we need just one more step.  We want the dog's original weight and the cat's current weight in terms of the same variable.  Well, we have that.  

Current cat = 1.2c or 6/5, since we have the other in fractional form.

original dog = (4/3)c  

Now, what do we multiply the first to get to the second?  Well, we need common denominators.  15 is the lcm of 3 and 5, so we'll use that.

6/5 = 18/15 and 4/3 = 20/15

Nowwe want to know what we have to multiply 18 by to get to 20.  some algebra will find that.

18x=20

x = 20/18

x = 10/9

that's about 1.11, so the dog's original weight is about 11% higher than the cat's current weight.  

Hopefully that's the answer it wanted, if not or if there is something you didn't understand let me know.

7 0
3 years ago
And item is regularly priced at $81. Maria brought it at a discount of 85% off the regular price you say a LEKS calculator to fi
Paladinen [302]

Answer:$12.15

Step-by-step explanation:

Given

The regular price of an item \$81

Maria gets a discount of 85\%

Amount paid after the discount is

\Rightarrow 81(1-85\%)\\\Rightarrow 81(1-0.85)=85(0.15)\\\Rightarrow \$12.15

4 0
3 years ago
It takes 10 hours to type 4 reports how many hours does it take to type 15 reports
yaroslaw [1]

Answer:37.5 hrs

Step-by-step explanation:

15/4 = 3.75

3.75*10=37.5

6 0
2 years ago
Read 2 more answers
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