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nikklg [1K]
3 years ago
8

Please simplify this

Mathematics
1 answer:
professor190 [17]3 years ago
8 0

Answer:

\frac{3\sqrt{2} }{2}

Step-by-step explanation:

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A person making $500 a week receives a 12% raise, which is an increase in their salary. Find the person’s new weekly salary.
Murrr4er [49]
500 times 1.12 or 12% equals 560
5 0
3 years ago
A spinner with 10 equally sized slices has 10 yellow slices. The dial is spun and stops on a slice at random. What is the probab
djverab [1.8K]

Answer:

1/10

Step-by-step explanation:

there are 10 slices, so if the probability of it landing on one of them is 1/10

5 0
3 years ago
A music store sold a total of 27 used trumpets and clarinets in one month. Trumpets cost $149 and clarinets cost $99. If total s
Annette [7]

Answer:

The number of clarinets musical store sold was 16. and number of trumpets musical store sold was 11.

Step-by-step explanation:

Let the musical store sells 'x' number of trumpets and 'y' number of clarinets.

According to question,

Total number of  trumpets and clarinets sold is 27 that is

x+y=27 ..............(1)

Also given Trumpets cost $149 and clarinets cost $99.

then the shop sold x trumpets for $149x and sold y clarinets for $99y and total sales were $3233.

thus, 149x+99y=3233  ...........(2)

Solving for equation (1) and (2),

Multiply equation (1) by 149 , we get

(1) ⇒ 149x+149y=4023  ........(3)

Now, subtract equation (3) from equation (2) , we get

149x+149y-(149x+99y)=4023-3233

\Rightarrow 149x+149y-149x-99y=790

\Rightarrow 149y-99y=790

\Rightarrow 50y =790

\Rightarrow y =\frac{790}{50}=15.8

Thus, number of clarinets musical store sold was 15.8 but since clarinets are to be in whole number rounding off to the nearest integer 16.

and put y = 16 in (1) , we get

x+y=27 \Rightarrow x+16=27 \Rightarrow x=27-16=11

Thus, number of trumpets musical store sold was 11.


4 0
3 years ago
Factor the following expression: x^2-4x+5
frozen [14]

(x-1) (x+5)

Step-by-step explanation:

3 0
3 years ago
Jay has lost his mothers favorite necklace, so he will rent a metal detector to try to find it. A rental company charges a one t
olasank [31]

Answer:

10 hours

Step-by-step explanation:

Say x is the number of hours he can rent the detector at most. Using it, we can set up this equation:

15 + 2x = 35

Subtract 15 from both sides

2x = 20

Divide by 2 on both sides

x = 10

4 0
3 years ago
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