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2 years ago

What is the value of x innthe equation 1.5(x+4)-3=4.5(x-2)

1 answer:

3 0

$~~~~~~1.5(x+4)-3 = 4.5(x-2)\\\\\implies 15(x+4) -30 =45(x-2)~~~~~~~~;[\text{Multiply both sides by 10]}\\\\\implies 3(x+4)-6=9(x-2)~~~~~~~~~~;[\text{Divide both sides by 5]}\\\\\implies 3x+12-6=9x-18\\\\\implies 3x+6=9x-18\\\\\implies 9x-3x = 18+6\\\\\implies 6x = 24\\\\\implies x = \dfrac{24}6\\\\\implies x =4$

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ONLY SERIOUS ANSWERS!!!! 25 POINTS

AveGali [126]

Answer:

FD≈25.94.. rounded = 26

Step-by-step explanation:

FD²=12²+(4x+11)²

FD²=144+16x²+88x+121

FD²=265+16x²+88x

also

FD²=12²+(13x-16)²

FD²=144+169x²-416x+256

FD²=400+169x²-416x

thus

265+16x²+88x = 400+169x²-416x

16x²-169x²+88x+416x+265-400 = 0

-153x²+504x-135 = 0

we will solve this quadratic equation by suing the quadratic formula to find x

x=(-504±sqrt(504²-4(-153)(-135)))/2(-153)

x=(-504± $\sqrt{504^{2}-4(-153)(-135) }$ )/2(-153)

x=(-504± $\sqrt{254016-82620 }$ )/-306

x=(-504± $\sqrt{171396}$ )/-306

x=(-504±414)/-306

x=(-504+414)/-306 and x=(-504-414)/-306

x=-90/-306 and x=-918/-306

x= 5/17 , 3

substituting x by the roots we found

check for 5/17:

4x+11 = 4×(5/17)+11 = (20/17)+11 = (20+187)/17 = 207/17 ≈ 12.17..

13x-16 = 13×(5/17)-16 = (65/17)-16 = (65-272)/17 = -207/17 ≈ -12.17..

check for 3:

4x+11 = 4×3+11 = 12+11 = 23

13x-16 = 13×3-16 = 23

thus 3 is the right root

therfore

ED=23 and CD=23

FD²=FE²+ED² or FD²=FC²+CD²

FD²=12²+23²

FD²=144+529

FD²=673

FD=√673

FD≈25.94.. rounded = 26

5 0

3 years ago

Read 2 more answers

Choose the correct representation of number 1.156 in "powers of 10" notation.

Leona [35]

Answer

1.156 × 10⁰

Explanation

In indexes,

a⁰ = 1 ⇒ ㏒aⁿ = ㏒1

n㏒a = ㏒ 1

n = ㏒1/㏒a

but ㏒1 = 0

n = 0/㏒a

= 0

∴ So to represent 1.156 to the power of 10 it will be;

1.156 = 1.156 × 10⁰

7 0

4 years ago

Each small car can hold 5 people and each large car can hold 8 people. The students rented 2 more large cars than small cars, wh

Nat2105 [25]

Answer:

6 small cars and 8 large cars

Step-by-step explanation:

if there are 94 people, 6 small cars can fit 30 people, so there'll be 64 people left, and 8 large cars can fit exactly 64 people.

8 0

3 years ago

Suppose you owe â$700 on your credit card and you decide to make no new purchases and to make the minimum monthly payment on the

Ugo [173]

B because one year is the optimum rate

3 0

3 years ago

They want me to put something here and the question is the picture

arsen [322]

Answer:

D. (1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

5x - 2y = 9

3x + 4y = -5

Step 2: Rewrite systems

10x - 4y = 18

3x + 4y = -5

Step 3: Solve for x

Add to equations together: 13x = 13
Divide 13 on both sides: x = 1

Step 4: Solve for y

Define: 3x + 4y = -5
Substitute in x: 3(1) + 4y = -5
Multiply: 3 + 4y = -5
Isolate y term: 4y = -8
Isolate y: y = -2

And we have our final answer!

8 0

3 years ago