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inysia [295]
3 years ago
14

The sum of two numbers is 43.their difference is 19.find both numbers

Mathematics
1 answer:
____ [38]3 years ago
4 0
X+y=43
x-y=19
2x=62
x=31
y=12
Hope this helps!
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The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?
lawyer [7]

Answer:

  • C. 6

Step-by-step explanation:

<u>Given</u>

  • S = n² + n
  • S = 42, n = ?

<u>Substitute and solve for n:</u>

  • 42 = n² + n
  • n² + 2*1/2n + 1/4 = 42.25
  • (n + 0.5)² = 42.25
  • n + 0.5 = √42.25
  • n + 0.5 = 6.5
  • n = 6

Correct option is C

5 0
2 years ago
Read 2 more answers
Find the value of x such that 365 based seven + 43 based x = 217 based 10.
Pepsi [2]

We need to find the base x in the following equation:

365_7+43_x=217_{10}

First, lets convert 365 from base 7 to base 10. This is given by

365_7=3\times7^2+6\times7^1+5\times7^0

where the upperindex denotes the position of eah number. This gives

\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}

that is, 365 based 7 is equal to 194 bases 10.

Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

43_x=4\times x^1+3\times x^0

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

43_x=(4x+3)_{10}

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

194_{10}+(4x+3)_{10}=217_{10}

For simplicity, we can omit the 10 and get

194+4x+3=217

so, we can solve this equation for x. By combining similar terms. we have

197+4x=217

and by moving 197 to the right hand side, we obtain

\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}

Finally, we get

\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}

Therefore, the solution is x=5

8 0
10 months ago
1.Sheena wants to make lime juice.
pochemuha
She needs 15 crates of limes

2x6=12
40x6=240 limes required to make 12 liters
240/16=15 crates needed
5 0
2 years ago
If c= what is the value of a?
PilotLPTM [1.2K]

Answer:

a= 17√3/ 2 or a≈14.72

Step-by-step explanation:

c = 17 and is the side opposite to the angle C

c=AB =17

a= BC because is the side opposite to angle A

sin 60° = opp./hyp = BC / AB = BC/17

sin 60° = BC /17  multiply both sides by 17

BC = 17* sin 60 = 17√3/2 ≈14.72

3 0
2 years ago
WILL GIVE BRAINLIEST b. Describe the function over each part of its domain. State whether it is constant, increasing, or decreas
True [87]

Answer:

When x <= 8000

The cost remains constant at 0.35 when x increases from 0 to 8000

The slope of cost function over this part is 0

When 8000 < x <= 20000

The cost remains constant at 0.75 when x increases from 8000 to 20000

The slope of cost function over this part is 0

When 20000 < x <= 42000

The cost decreases when x increases from 20000 to 42000

The slope of cost function

m =  \frac{y2 - y1}{x2 - x1}  \\  =    \frac{(0.83 -  \frac{40000}{200000}) - (0.83 -  \frac{20000}{200000})}{40000 - 20000}

m= -5 × 10^-6

5 0
2 years ago
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