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Daniel [21]
2 years ago
15

You are going shopping. You are given 40 dollars to buy clothing. You buy

Mathematics
2 answers:
Oduvanchick [21]2 years ago
7 0

Answer:

6 dollars

Step-by-step explanation:

40-10=30

30/5= 6

swat322 years ago
6 0
5x+10=40
5x=30
6=x
The five shirts cost 6 dollars each with the pair of pants which is 40 dollars in all.
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Point G is the centroid of the right △ABC with m∠C=90° and m∠B=30°. Find AG if CG=4 ft.
o-na [289]

Answer: \text{Length of AG=}\frac{2\sqrt{63}}{3}

Explanation:  

Please follow the diagram in attachment.  

As we know median from vertex C to hypotenuse is CM  

\therefore CM=\frac{1}{2}AB

We are given length of CG=4  

Median divide by centroid 2:1  

CG:GM=2:1  

Where, CG=4

\therefore GM=2 ft

Length of CM=4+2= 6 ft  

\therefore CM=\frac{1}{2}AB\Rightarrow AB=12

In \triangle ABC, \angle C=90^0

Using trigonometry ratio identities  

AC=AB\sin 30^0\Rightarrow AC=6 ft

BC=AB\cos 30^0\Rightarrow BC=6\sqrt{3} ft  

CN=\frac{1}{2}BC\Rightarrow CN=3\sqrt{3} ft

In \triangle CAN, \angle C=90^0  

Using pythagoreous theorem  

AN=\sqrt{6^2+(3\sqrt{3})^2\Rightarrow \sqrt{63}

Length of AG=2/3 AN

\text{Length of AG=}\frac{2\sqrt{63}}{3} ft


5 0
3 years ago
By what number would you multiply -3/8 (fraction) to get a product of 1?
RideAnS [48]
To get 1 you need to multiply -3/8 by -2/2/3 or -2.67
3 0
3 years ago
Mrs. Nestler enjoys listening to classical music. She has the following audio CDs by her favorite composers in her collection: 4
ivolga24 [154]

Answer:

10.55% probability

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.

1 Bach CD, from a set of 4.

1 Beethoven CD, from a set of 6.

1 Brahms CD, from a set of 3.

1 Handel CD, from a set of 2.

So, D=144

4 CDs from a set of 4+6+3+2 = 15.

So, T= 1365

p= D/T= 144/1365 = 0.1055

10.55% probability that she will choose one by each composer

4 0
3 years ago
Find the percent of change from the first value to the second. 20 ; 80
Lemur [1.5K]

Answer:

Percent Change Formula: [(new - old)/old] * 100

Step-by-step explanation:

New - old

80 - 20 = 60

Difference between new - old divided by old

60/20 = 3

Previous quotient times 100

3*100 = 300

Percent Change is 300%

Check your answer

300% of 20 is 60

20 + 60 = 80

8 0
2 years ago
Read 2 more answers
How the heck do you solve these type of problems?
Trava [24]
21) 3(2j-k)=108 It is asking you to set the equation equal to j
distribute the 3
6j-3k=108
move k to the other side by adding on both sides
6j=108+3k
divide everything by 6
j=18+0.5k
7 0
3 years ago
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