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Sergio [31]
2 years ago
8

which inequality is equivalent to 5x+2(3x+1)<3? a. 10x+2<3 b. 11x+2<3 c. 10x+1<3 d. 11x+1<3

Mathematics
1 answer:
hram777 [196]2 years ago
3 0

5x + 2(3x + 1) < 3       Distribute 2 into (3x + 1)

5x + (2)3x + (2)1 < 3

5x + 6x + 2 < 3         Combine like terms(terms that have the same variable and power/exponent)

11x + 2 < 3       Your answer is B

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The number 42 is what percent of 35
Vesna [10]

35 - 100%

42 - x


X=42×100/35=120%


120-100=20%


Answer: 20%

5 0
3 years ago
How to solve this?can you help me i no sure
dangina [55]
To find the answer just substitute the values of P and Q into the equation and evaluate following order of operations

7 0
3 years ago
Line RS intersects triangle BCD at two points and is parallel to segment DC. Triangle B C D is cut by line R S. Line R S goes th
Svetlanka [38]

Answer:

The correct options are;

1) ΔBCD is similar to ΔBSR

2) BR/RD = BS/SC

3) (BR)(SC) = (RD)(BS)

Step-by-step explanation:

1) Given that RS is parallel to DC, we have;

∠BDC = ∠BRS (Angles on the same side of transversal)

Similarly;

∠BCD = ∠BSR (Angles on the same side of transversal)

∠CBD = ∠CBD = (Reflexive property)

Therefore;

ΔBCD ~ ΔBSR Angle, Angle Angle (AAA) rule of congruency

2) Whereby  ΔBCD ~ ΔBSR, we therefore have;

BC/BS = BD/BR → (BS + SC)/BS = (BR + RD)/BR = 1 + SC/BS = RD/BR + 1

1 + SC/BS = 1 + RD/BR = SC/BS = 1 + BR/RD - 1

SC/BS = RD/BR

Inverting both sides

BR/RD = BS/SC

3) From BR/RD = BS/SC the above we have by cross multiplication;

BR/RD = BS/SC gives;

BR × SC = RD × BR → (BR)(SC) = (RD)(BR).

7 0
2 years ago
Which property is demonstrated by the equation (5 + a) + 3 = (a + 5) + 3?
sineoko [7]

Answer:

Communitive Property

Step-by-step explanation:

Commutative property = 2 + 3 = 3 + 2 or 2(3) = 3(2)

Associative Property = (2 x 3) 5 = 2 (3 x 5) or (2 + 3) + 5 = 2 + (3 + 5)

Inverse Property = 2 + (-2) = 0 or (2/1)(½) = 1

Basic Definitions:

<u><em>Commutative Property</em></u> - Gives you the ability to switch the order of the numbers in an expression.

<u><em>Associative Property</em></u> - Let's you move the parenthesis in an expression but not the numbers.

<u><em>Inverse</em></u> - Uses numbers like 0 and 1.

Using these basic definitions and examples, we can summarize that the best answer would be <u>Communitive Property</u>

<u></u>

4 0
3 years ago
How do you write 9.009 as a percentage?
Oksanka [162]
900.9% would be 9.009 as a percentage.

It's 900% because it's a whole number and it's .9% because of the last 9 in the number (the thousandth - 3 digits after the decimal).
6 0
2 years ago
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