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frez [133]
3 years ago
11

100 points. solve the equation and check the solution

Mathematics
1 answer:
jeka943 years ago
3 0

a)\\a+2.4=7.8\\a=7.8-2.4\\a=5.4\\\\b)\\b-\dfrac{1}{4} =3\dfrac{1}{2} \\b-0.25=3.5\\b=3.5+0.25\\b=3.75=3\dfrac{3}{4} \\\\c)\\\dfrac{1}{3} s=\dfrac{1}{5} \\s=\dfrac{1}{5}\div\dfrac{1}{3}\\s=\dfrac{1}{5}\times3\\s=\dfrac{3}{5} \\\\d)\\3x=27\\x=27\div3\\x=9\\\\e)\\\dfrac{t}{4} =16|\times4\\t=64\\\\f)\\\dfrac{w}{7} =0.3|\times7\\w=2.1

Check:

a)\\5.4+2.4=7.8\\correct\\\\b)\\3\dfrac{3}{4}-\dfrac{1}{4} -3\dfrac{2}{4}=3\dfrac{1}{2}\\correct\\\\c)\\\dfrac{1}{3} \times \dfrac{3}5=\dfrac1{5}\\correct\\\\d)\\3\times9=27\\correct\\\\e)\\\dfrac{64}{4} =16\\corect\\\\f)\\\dfrac{2.1}{7} =0.3\\correct

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Suppose that a department contains 10 men and 12 women. How many ways are there to form a committee with six members if it must
Readme [11.4K]

Answer:

The number of ways is 26,400 ways

Step-by-step explanation:

Given;

total number of men, M = 10

total number of women, W = 12

number of committees to be formed = 6

If there must be equal gender, then it must consist of 3 men and 3 women.

The \ number \ of \ ways = 10C_3 \times 12C_3\\\\The \ number \ of \ ways =\frac{10!}{3!7!} \times \frac{12!}{3!9!} \\\\T he \ number \ of \ ways  = 120 \times 220 = 26,400 \ ways

Therefore, the number of ways is 26,400 ways

8 0
2 years ago
PLLLEEEAASSEE HELP ME<br><br> explain how you got the answer
valkas [14]
For # 1, the answer will be 1 because of the exponential rule a^{0} = 1.

#2, the answer is going to be x^{4} because of the exponential rule a^{-b} = \frac{1}{a ^{b} }.

#3. I'm not sure that this could be simplified any further.

#4  To get the answer to this question, we must apply the distributive property, along with the exponential rule a ^{m} × a ^{n} = a ^{m+n}. When we apply these properties, we'll get - \frac{3}{x^4}

For the other questions, they all apply the Laws of Exponents. 

5 0
3 years ago
There are two water tanks, Tank #1 fills into Tank #2.
cricket20 [7]

Answer:

  35 minutes

Step-by-step explanation:

The total amount of water is 200 +60 = 260 gallons. The two tanks will have equal amounts when each has half that, or 130 gallons.

If the volume in tank 2 is increasing at 2 gallons per minute, it will increase by 70 gallons from 60 gallons to 130 gallons in 70/2 = 35 minutes.

5 0
3 years ago
In one week, Kenny works at t hours at a cafe and earns $16 per hour. He also
Finger [1]

Answer:

t*16+b*12=how much money per week

Step-by-step explanation:

hope this helps

plz mark brainliest

6 0
2 years ago
What is the sum of numbers as a product of their GCF 45+60
Eduardwww [97]
Find the prime factorization

45=3*3*5
60=2*2*3*5
GCF=3*5=15

45=3*15
60=4*15

remember
ab+ac=a(b+c) so
45+60=15(3)+15(4)=15(3+4)=15(7)=105
5 0
3 years ago
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