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3 years ago

The sum of two consecutive integer is 131. Find the integer

2 answers:

7 0

$x,\ x+1-\text{two consecutive integer}\\\\\text{The equation}\\\\x+(x+1)=131\ \ \ \ \ |\text{use associative property}\\\\(x+x)+1=131\\\\2x+1=131\ \ \ \ \ |\text{subtract 1 from both sides}\\\\2x=130\ \ \ \ |\text{divide both sides by 2}\\\\x=65\\\\x+1=65+1=66$

<h3>Answer: 65 and 66</h3>

AlexFokin [52]3 years ago

3 0

$n+n+1=131\\\\2n=130\\\\n=65\\\\n+1=66$

<u>65 and 66</u>

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Two shapes are similar and their sides have a ratio of 2:9. What is the ratio of the surface areas for

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$\bf s:s\implies 2:9\implies \cfrac{s}{s}\implies \cfrac{2}{9}=\cfrac{\sqrt{Area}}{\sqrt{Area}}\implies \cfrac{2}{9}=\sqrt{\cfrac{Area}{Area}} \\\\\\ \left( \cfrac{2}{9} \right)^2=\cfrac{Area}{Area}\implies \cfrac{2^2}{9^2}=\cfrac{Area}{Area}\implies \cfrac{4}{81}=\cfrac{Area}{Area}$

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3 years ago

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2 years ago

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What is the solution of the system. Use the substution method. 3x+2y=11, x-2=-4y

liq [111]

Answer:

$x=\frac{10}{3}$ and $y=\frac{1}{2}$

Step-by-step explanation:

To use the substitution method, we should take one of the equations, and obtain an expression for one of the variables from this equation. Let's take the first one: 3x-2y = 11. We obtain an expression for x (it could be for y as well): 3x = 11 + 2 y ⇒ $x=\frac{11}{3}+\frac{2}{3} \times{y}$ .
Now, we should replace the expression obtain for x in the first equation, on the second equation, as follow

$x-2=4y$ ⇒ $(\frac{11}{3}+\frac{2}{3}\times{y})-2=4\times{y}$
Then rearranging terms $\frac{11}{3}-2=4\times{y}-\frac{2}{3}\times{y}$
This expression results in $y=\frac{1}{2}$
Finally, using the firs equation, in which we obtained an expression from x, $x=\frac{11}{3}-\frac{2}{3} \times{y}$ , we replace y=1/2 and get $x=\frac{11}{3}- \frac{2}{3}\times{\frac{1}{2} }$ , then $x=\frac{10}{3}$

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3 years ago

Angle A and Angle B are Complementary Angles. If Angle A measures 40 degrees, what is the measure of Angle B? *

IceJOKER [234]

Answer:

50 degrees

Step-by-step explanation:

If angle A and angle B are complementary, that would mean that their sum is 90 degrees. A + B = 90 . We know that angle A is 40, so 40 + B = 90. It becomes a one step equation. Subtract both sides by 40. 90 - 40 = 50. Angle B is equal to 50 degrees.

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3 years ago

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