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vesna_86 [32]
3 years ago
14

18. One number is 3 less than a second number. Twice the second number is 12 more than 3 times the first.

Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0

Answer: The numbers are -3 and - 6

Step-by-step explanation:

Let the first number be x and the second number be y , then from the first statement we have

x + 3 = y  ............. equation 1

From the second statement

2y  = 3x + 12 ............ equation 2

solving the resulting simultaneous equation by substitution method ,we have:

substitute x - 3= y  into equation 2 , we have

2( x + 3) = 3x + 12

2x + 6 = 3x +  12

2x - 3x = 6

x = -6

substitute x = - 6 into equation 1 , that is

- 6 + 3 = y

Therefore ,

y = -3

2y = 3y + 3

Check:

x + 3 = y , implies

-6 + 3 = -3 = y

Also 2y = 3x + 12 , implies

2(-3) = -6

3(-6) + 12 = -6

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Which values are solutions to the inequality below? √x ≤ 5
Romashka [77]
\sqrt{x}  \leq 5

Find the real  region  for \sqrt{x}

\sqrt{x} is real for x \geq 0

= x  \geq 0

\sqrt{x}  \leq 5

Square both sides:

( \sqrt{x} )^2  \leq 5^2

5^2 = 5*5 =25

Refine:

x  \leq 25

Answer D

hope this helps!


5 0
3 years ago
Country A has a growth rate of 4.9​% per year. The population is currently 4 comma 151​,000, and the land area of Country A is 1
kvv77 [185]

Answer:

There will be one person on 1 square yard of land after 1,892,147.588 years.

Step-by-step explanation:

Continuous exponential growth formula:

P(t)=Pe^{rt}

P(t)= Population after t years.

P= Initial population

r=rate of growth.

t= time in year

Given that,

Growth rate of country A (r)= 4.9% per year=0.049 per year.

Initial population (P)= 151,000.

Land area of country area= 14,000,000,000 square yards.

There will be one person on one  square yard of land.

So, there will be 14,000,000,000  person for 14,000,000,000 square yard of land in country A.

P(t)=14,000,000,000 person

\therefore 14,000,000,000= 151,000 e^{0.049t}

\Rightarrow e^{0.049t}=\frac{ 14,000,000,000}{ 151,000}

Taking ln both sides

\Rightarrow ln|e^{0.049t}|=ln|\frac{ 14,000,000,000}{ 151,000}|

\Rightarrow {0.049t}=ln|\frac{ 14,000,000,000}{ 151,000}|

\Rightarrow t}=\frac{ln|\frac{ 14,000,000,000}{ 151,000}|}{0.049}

\Rightarrow t}=1,892,147.588 years

There will be one person for every square yard of land after 1,892,147.588 years.

7 0
3 years ago
Evaluate the following polynomial. (32mn2 + 50m2n) - (10mn2 - 16m2n + 64).
zaharov [31]
I think the answer is 22mn2+66m2n-64 since there are no more like terms
7 0
3 years ago
A. 4,-4<br> B. 2,-5<br> C.0,6<br> D.-2,5<br> Which would it be?
kipiarov [429]

Answer:

A

Step-by-step explanation:

If we insert the original coordinates into the problem, we will find the answer.

(2+2, 1-5)

so, once solved

(4, -4)

remember, adding to X means moving the point right, subtracting to X means moving left.

Adding to Y means moving the point up, subtracting to Y means moving down.

6 0
2 years ago
Round the whole number to the given place. 75,801,300 to the nearest million​
valina [46]

Answer:

76,000,000

Step-by-step explanation:

Look at the 100,000 place and see whether to round up or down - 8 is larger than 5, therefore 75,000,000 gets rounded up to 76,000,000

8 0
3 years ago
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