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ValentinkaMS [17]
3 years ago
13

One number is 4 less than 3 times another number. If their sum is 16, find the numbers. Which of the following equations could b

e used to solve the problem if x represents a number? 3x - 4 = 16 4x - 4 = 16 4x - 12 = 16
Mathematics
1 answer:
BigorU [14]3 years ago
7 0
Let the other number be 'y' and the other number be 'x'

We know that, y, is the result of subtracting 4 from the triple of 'x'

Translating this into a Mathematical sentence we have y = 3x - 4

We also know that x + y = 16

Writing y  as 3x - 4, we have x + (3x - 4) = 16

Simplified as 4x-4=16

Correct answer: 4x-4=16
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I am not sure how sigma notation works, can somebody explain how to solve this? It isn't the second choice.
Masja [62]

Answer:

first answer is correct

Step-by-step explanation:

Hello, we want to write 2 + 4 + 6 + ... + 20

for n = 1, 2n = 2*1 =2

for n = 2, 2n = 2*2=4

for n = 3, 2n=2*3=6

etc

so

\displaystyle \sum_{n=1}^{10} {2n} = 2*1 + 2*2 +2*3+2*4+...+2*10=2+4+6+8+...+20

thanks

6 0
3 years ago
Twenty-one boys and eight girls go on a camping trip. In how many ways can a group of six be selected to gather firewood, given
lorasvet [3.4K]
(a)  there are 8C2  = 28 ways of picking 2 girls from 8
And there are  21C4  =  5985 ways of picking 4 boys

Required number of ways for 2g / 4b  = 28 * 5985 =  167,580 

(b) at least 2 girls means  combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or 
6 girls.

2g/4b  = 167,580 ways
3g/3b =  8C3 * 21C3 =  56 * 1330 = 74,480
4g/2b =  8C4* 21C2  =   70 * 210 = 14,700 
5g 1b = 8C5* 21 =  56*21 = 1176
6 girls  = 8C6 = 28

adding these up we get the answer to (b) which is  257,964

6 0
3 years ago
5. The cost per person to rent a chartered bus varies inversely to the number of people a who ride the bus. If 40 people pay $9.
777dan777 [17]
Answer d $380.00 or answer a $24.00
3 0
2 years ago
What will be the next in the series 2,60,10,120,30,?
grandymaker [24]
2 to 60 is 58 -48 is 10 
so you have think what sort of maths skills are used like it could n+58 -48 then square or something ,but check what the differences are between the numbers.
hope it helped.
8 0
4 years ago
Which set of rational numbers is arranged from least to greatest? 1 over 5, −1.4, negative 1 over 2, 3 3, negative 1 over 2, −1.
Mars2501 [29]

Answer:

Option 4 - -1.4,\ -\frac{1}{2},\ \frac{1}{5},\ 3

Step-by-step explanation:

To find : Which set of rational numbers is arranged from least to greatest?

Solution :

The set of rational numbers are

3,\ \frac{1}{5},\ -1.4,\ -\frac{1}{2}

Writing all number in one form,

\frac{1}{5}=0.2

-\frac{1}{2}=-0.5

Now, -1.4<-0.5<0.2<3

From least to greatest the set of natural numbers are

-1.4

So, -1.4,\ -\frac{1}{2},\ \frac{1}{5},\ 3

Therefore, option 4 is correct.

7 0
3 years ago
Read 2 more answers
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