All categories

2 years ago

What is the value of x in theequation 2.5 (6x - 4) = 10 + 4 (1.5 +0.5 x)?

Mathematics

1 answer:

Zarrin [17]2 years ago

5 0

Answer:

x = 2

Step-by-step explanation:

Let's solve your equation step-by-step.

2.5(6x−4)=10+4(1.5+0.5x)

Step 1: Simplify both sides of the equation.

2.5(6x−4)=10+4(1.5+0.5x)

(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)

15x+−10=10+6+2x

15x−10=(2x)+(10+6)(Combine Like Terms)

15x−10=2x+16

Step 2: Subtract 2x from both sides.

15x−10−2x=2x+16−2x

13x−10=16

Step 3: Add 10 to both sides.

13x−10+10=16+10

13x=26

Step 4: Divide both sides by 13.

x=2

You might be interested in

Adam borrowed $16,780 at 12.5 percent for 10 years. What is his monthly payment?

Scrat [10]

ANSWER:

245.83

Step-by-step explanation:

16,780/100=167.8

167.8 x 1.465= 245.827

4 0

2 years ago

I need help finding if it’s either SOH, CAH or TOA and the indicated side of the triangle, thank you!

Brilliant_brown [7]

Answer:

$\huge\boxed{IJ \approx 2.01}$

Step-by-step explanation:

In order to find the side mentioned (IJ), we need to use SOH CAH TOA.

SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:

Sin = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.

Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.

Our equation is now this: $\text{sin(42)} = \frac{x}{3}$

Let's now solve for x.

$\text{sin(42)} = \frac{x}{3}$
$3 \cdot \text{sin(42)} = x$
$\text{sin(42)} \approx 0.67$
$3 \cdot 0.67 \approx 2.01$

Therefore, the length of IJ will be around 2.01.

Hope this helped!

4 0

2 years ago

16. What statement can be made about the distance between the vertices of a triangle and the circumcenter?

slamgirl [31]

Answer:

O the circumcenter is equidistant to all three vertices

Step-by-step explanation:

7 0

2 years ago

Need hep teaching my daughter. Janet went to Resturant and left 20% tip. If tip was $3.20 how much was meal? Solve with equation

Stels [109]

Answer:

The meal was $16.00.

Step-by-step explanation:

since the equation for finding the tip is: decimal of percent times total bill, what you want to do is isolate the bill. you do this by dividing both sides by percent and your equation is total cost = tip/percent

let's say our total equation is x.

x=3.20/0.2

x=16

Now check your work.

6 0

2 years ago

4. Write 0.5% as a fraction.

11111nata11111 [884]

Answers
4. A
5. D
6. D

7 0

2 years ago

Read 2 more answers