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levacccp [35]
3 years ago
11

Donnel practiced the piano 3 hours longer than Marcus. Together they practiced the piano for 11 hours. How many hours did each b

oy practice??
Mathematics
1 answer:
andriy [413]3 years ago
4 0
Here is the equation: x+(x+3)=11 ⇒x+x+3=11


You need to get "x" by itself so minus 3 from each side

x+x+3-3=11-3 ⇒ x+x=8 ⇒ 2x=8

Divide 8 by 2

8 ÷ 2=4

x=4

So each 4 is equivalent to 4 

Lets check:

4+(4+3)=11 ⇒ 4+4+3=11 ⇒ 11=11

So that means that Marcus practiced the piano for 4 hours and Donnel practiced for 7 
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Novay_Z [31]

Answer:

560

Step-by-step explanation:

I'm kinda confused on whats being asked i went with just question number 5

4 0
3 years ago
The hypotenuse of a right triangle is 10cm long. One of the triangle's legs is three times the length of the other leg. Find the
vivado [14]

Answer:

The lengths of the three sides are 10 cm, 9.49 cm and 3.16 cm

Step-by-step explanation:

Let

c ------> the length of the hypotenuse of a right triangle

x -----> the length of one leg

y -----> the length of the other leg

we know that

c^{2}=x^{2}+y^{2} -----> equation A (Pythagoras Theorem)

c=10\ cm ----> equation B

x=3y -----> equation C

Substitute equation B and equation C in equation A and solve for y

10^{2}=(3y)^{2}+y^{2}

100=10y^{2}

y^{2}=10

y=\sqrt{10}\ cm

y=3.16\ cm

Find the value of x

x=3(\sqrt{10})=9.49\ cm

therefore

The lengths of the three sides are 10 cm, 9.49 cm and 3.16 cm

5 0
3 years ago
Read 2 more answers
Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The drive had some files on it before the t
topjm [15]

Answer:   The drive was 24.32% full when the transfer began.

 

Step-by-step explanation:

Given: The rate of transferring file = 4.44 megabytes per second.

After 32 seconds, the amount of data on the drive = 384 megabytes  

The amount of transferred data = 32\times4.4=140.8 megabytes  

Therefore, the amount of data in the drive at the beginning is given by :-

\text{Beginning amount=Amount after 32 seconds -Amount transferred}\\\\\Rightarrrow\ \text{Beginning amount=}384-140.8=243.2

The drive had a maximum capacity of 1000 megabytes.

\frac{243.2}{1000}\times100=24.32\%

Hence, the drive was 24.32% full when the transfer began.

4 0
3 years ago
Read 2 more answers
What is the integer for 3 people join?
Serjik [45]
The integer of 3 is negative (-3). Glad to help
8 0
3 years ago
Help this is one thats to hard
aliina [53]

We are given the following sequence:

6,-20,58

The formula that we can use to obtain the sequence is the following:

a_n=-3a_{n-1}-2,a_1=6

Because when we replace the given terms we get:

\begin{gathered} a_2=-3(6)-2 \\ a_2=-18-2 \\ a_2=-20 \end{gathered}

For the next term:

\begin{gathered} a_3=-3(-20)-2 \\ a_3=60-2 \\ a_3=58 \end{gathered}

6 0
1 year ago
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