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3 years ago

The sum of two numbers is 30. the difference of the two number is 4. what number is lesser

Mathematics

1 answer:

4vir4ik [10]3 years ago

5 0

The lesser number is 13.

Step-by-step explanation:

Step 1 :

Let x represent the first number and y represent the second number

Given, sum of 2 numbers = 30

So we have,y + x = 30

The difference of the 2 numbers = 4

so x - y = 4

Step 2 :

Adding the 2 equations obtained in step 2 we have,

2 x = 34 => x = 17

x + y = 30 => y = 30-x= 30 - 17 = 13

Step 3 :

Answer :

So 17 and 13 are the 2 numbers.

The lesser number is 13.

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PLEASE HELP Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 10

klemol [59]

The complete table will be:

$Monday - 100\\ Tuesday-65\\ Wednesday- 120\\ Thursday-150\\ Friday-90\\ Saturday- 0\\ Sunday-175$

Explanation

Suppose, the number of sit-ups in Sunday is $x$

Mean is the simple average of some numbers. For finding the mean number of sit-ups per day, we need to divide the 'total number of sit-ups' by the 'total number of days'.

Here the total number of days is 7 and the total number of sit-ups for 7 days $= 100+65+120+150+90+0+x= 525+x$

Given that, the mean number of sit-ups per day is 100. So, the equation will be...

$\frac{525+x}{7}=100\\ \\ 525+x=700\\ \\ x= 700-525=175$

So, the number of sit-ups you have to do Sunday is 175.

6 0

4 years ago

Two airplanes start at the same place and travel in opposite directions,one at 395 miles per hour and the other at 422 miles per

Hitman42 [59]

plane 1 travels 395 miles in 1 hour

plane 2 travels 422 miles in 1 hour

together, they travel (395+422) 817 miles in 1 hour

to have 2451 miles between then, they'd need to travel

$\frac{2451 miles}{817 miles}=3$

so in 3 hours, they'll be 2451 miles apart

3 0

3 years ago

Simplify (write without the absolute value sign): |x−(−12)|, if x<−12

VladimirAG [237]

Answer:

|x + 12|

Step-by-step explanation:

The question I took form you I assume looks like this...

|x - (-12)|

Therefore, if we simplify this, the answer is |x + 12|

This is the answer because you would multiply -1 by -12

3 0

3 years ago

Can someone help with the polynomials? Please

kolbaska11 [484]

Answer:

22x^2 -10xy + 12x

Step-by-step explanation:

To add and subtract polynomials, combine only like terms. When doing it vertically, stack polynomials and line up the same bases and exponents. Once this is done, simply add and subtract the coefficients.

10x^2 + 12xy + 4x

+ 12x^2 -22xy + 8x

_________________

22x^2 -10xy + 12x

Here we added 10 + 12 = 22, 12 + -22 = -10 and 4 + 8 = 12.

8 0

3 years ago

The volume of construction work was increased by 60% but the productivity of labor increased by only 25%. By what percent must t

Sergeu [11.5K]

Answer: 28 %

Step-by-step explanation:

Let, Initially,

V be the volume of construction work

r be the productivity of labor

n be the number of days

x be the number workers.

Thus, V = r × n × x ------------(1)

Now, According to the question,

The volume of construction work was increased by 60% but the productivity of labor increased by only 25%.

Therefore,

Final volume of the work = 160% of V = 1.6 V

Final productivity = 125% of r = 1.25 r

Also, the time is same in both conditions,

Final time taken = n

Let y be the number of people after changes.

Thus, 1.6 V = 1.25 r × n × y -----(2)

Dividing equation (1) by equation (2)

We get, y = 1.60 x/1.25

Thus, the changes in the number of workers

= $\frac{(\frac{1.60x}{1.25}-x) }{x}\times 100$

= 0.28 × 100

= 28 %

5 0

3 years ago