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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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The Basketball Boosters Club plans a pancake supper to raise $1,200. They can serve 240 people. They
wolverine [178]

\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}

let the number of

  • adults be x

  • children be y

Total number of people : adults + children

  • x + y = 240

  • x = 240 - y - [1]

Total money earned from adults :

  • 6 × x = 6x

Total money earned from children :

  • 2 × y = 2y

Therefore, total money = money earned from each Adult and children.

  • 6x + 2y = 1200 -[2]

Now, let's plug the value of x from equation [1] into equation [2]

  • 6 (240 - y) + 2y = 1200

  • 1440 - 6y + 2y = 1200

  • -4y = 1200 - 1440

  • -4y = - 240

  • y = 60

let's plug the value of y in equation [1]

  • x = 240 - y

  • x = 240 - 60

  • x = 180

Hence, we get :

  • total adults = x = 180

  • total children = y = 60

Correct option is C

_____________________________

\mathrm{ ☠ \: TeeNForeveR \: ☠}

7 0
3 years ago
Ayuda cual es el valor numerico de -11ab?
Dmitrij [34]
Can u translate this to English so we can respond and answer please?
8 0
3 years ago
Find the value of Q. No links plz.
Crank

Answer:

(rounded)17.2=Q

Step-by-step explanation:

Q= 13/cos41

4 0
2 years ago
Joe tracked the height of his Dalmatian puppy from age 13 weeks to 25 weeks. He graphed the data and determined the line of best
nadya68 [22]

Answer:

22.5 weeks

Step-by-step explanation:

y = 1.12x + 28.78 represents the height of the puppy.  Here that height is 54 cm:

Then 54 = y = 1.12x + 28.78

Combining the constants, we get 1.12x = 25.22.  Dividing both sides by 1.12, x turns out to be 22.5 weeks.

3 0
3 years ago
A private opinion poll is conducted for a politician to determine what proportion of the population favors adding more national
Ksju [112]

Answer:

n≅376

So sample size is 376.

Step-by-step explanation:

The formula we are going to use is:

n=pq(\frac{z_{\alpha/2}}{E})^{2}

where:

n is the sample size

p is the probability of favor

q is the probability of not in favor

E is the Margin of error

z is the distribution

α=1-0.98=0.02

α/2=0.01

From cumulative standard Normal Distribution

z_{\alpha/2}=2.326

p is taken 0.5 for least biased estimate, q=1-p=0.5

n=0.5*0.5(\frac{2.326}{0.06})^{2}\\n=375.71

n≅376

So sample size is 376

4 0
3 years ago
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