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3 years ago

Choose the angle which is represented by the name. RUN and NUG

Mathematics

1 answer:

Minchanka [31]3 years ago

7 0

Answer:

Option C

Step-by-step explanation:

Both RUN and NUG have U in the middle of them, so the bottom one would be correct as U is in the center.

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If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num

weeeeeb [17]

Answer:

Step-by-step explanation:

$x,\ y,\ z-\text{three numbers}\\\\\left\{\begin{array}{ccc}(x+2z)-y=1&(1)\\z+2x=3&(2)\\x+3y+z=18&(3)\end{array}\right\\\\(2)\\z+2x=3\qquad\text{subtract}\ 2x\ \text{from both sides}\\z=3-2x\qquad(*)\\\\\text{Substitute}\ (*)\ \text{to (1) and (3)}\\\\\left\{\begin{array}{ccc}x+2(3-2x)-y=1&\text{use the distributive property}\\x+3y+(3-2x)=18\end{array}\right$

$\left\{\begin{array}{ccc}x+(2)(3)+(2)(-2x)-y=1\\x+3y+3-2x=18&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+6-4x-y=1&\text{subtract 6 from both sides}\\(x-2x)+3y=15\end{array}\right\\\left\{\begin{array}{ccc}(x-4x)-y=-5\\-x+3y=15\end{array}\right\\\left\{\begin{array}{ccc}-3x-y=-5&\text{multiply both sides by 3}\\-x+3y=15\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}$

7 0

3 years ago

Susan is looking to hire a cleaning company to clean her house every week. One cleaning company's cost can be calculated by the

kirill [66]

Answer:

Step-by-step explanation:

If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;

On equating:

75 + 50x, = 75x + 50

collect like terms'

50x-75x = 50-75

-25x = -25

divide both sides by -25

-25x/-25 = -25/-25

x = 1

hence the number of hours each company will have to clean to cost the same amount is 1 hour

3 0

3 years ago

Choose the answer that makes the sentence true. (Blank) real numbers are integers. A. All B. Some C. No

zvonat [6]

Answer:

Some real numbers are integer

Step-by-step explanation:

Real numbers ;

Natural numbers (counting numbers) = Integer
Whole numbers = Integers
Integers =Integers
Rational numbers (fractions , repeating or terminating decimals) = Fraction and decimal are not integers
Irrational numbers. = Not integer

4 0

3 years ago

Read 2 more answers

Para cambiar 212% a fracción debemos dividirlo entre 100% ?

kirza4 [7]

Si tiene que divide 212/100=53/25

4 0

3 years ago

Solve: 9x - 2(4x + 5) = 2x - (4 - x) - 12 A 16 B 9 C 3 D 13

Margarita [4]

Step-by-step explanation:

4x+2x+x+9x=16x

16x=2+5+4=11

x=11

7 0

3 years ago