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Citrus2011 [14]
3 years ago
6

What value of x makes the equation true? 3(4x-5)-4x+1=-6 Please show work

Mathematics
1 answer:
V125BC [204]3 years ago
3 0

Answer:

x = 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

3(4x - 5) - 4x + 1 = -6

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 3:                    12x - 15 - 4x + 1 = -6
  2. Combine like terms:       8x - 14 = -6
  3. Isolate <em>x</em> term:                 8x = 8
  4. Isolate <em>x</em>:                          x = 1

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    3(4(1) - 5) - 4(1) + 1 = -6
  2. Multiply:                               3(4 - 5) - 4 + 1 = -6
  3. Subtract:                              3(-1) - 4 + 1 = -6
  4. Multiply:                               -3 - 4 + 1 = -6
  5. Subtract:                              -7 + 1 = -6
  6. Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = 1 is the solution to the equation.

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A Little help here 2!!
harina [27]

Answer:

Unit rates are expressed as a quantity of 1, such as 3 feet per second or 6 miles per hour, they are called unit rates.

In the given table shows the number of pictures taken and how much time it took.

For first camera;

Number of pictures (unit rate) per second = \frac{15}{3} =5 pictures.

For second Camera:

Number of picture per second = \frac{48}{8} =6 pictures.

For third Camera:

Number of picture per second = \frac{18}{6} =3 pictures.

The camera that takes picture the fastest is, Second Camera.

(a)

As per the given statement: At Davidson's Bike rentals, it costs $29 to rent a bike for 8 hour.

⇒ unit rate per dollar = \frac{Number of hours }{Total cost} = \frac{8}{29} = 0.2758620 hours

Therefore, 0.227 hours (nearest to hundredths) of bike use does a customer get per dollar.

(b)

Jessica bought 18 pounds of sugar for $10.

unit rate per dollar = \frac{18}{10} =1.8 pounds

therefore, 1.8 pounds of sugar did she get per dollar.



4 0
3 years ago
How many times longer is the wavelength of a sound wave with a frequency of 20 waves per second than the wavelength of a sound w
sergejj [24]

The sound wave with a <u>frequency of 20</u> waves/sec is 800 longer than the wavelength of a sound wave with a <u>frequency of 16,000</u> waves/sec

<h3>Calculating wavelength </h3>

From the question, we are to determine how many times longer is the first sound wave compared to the second sound water

Using the formula,

v = fλ

∴ λ = v/f

Where v is the velocity

f is the frequency

and λ is the wavelength

For the first wave

f = 20 waves/sec

Then,

λ₁ = v/20

For the second wave

f = 16,000 waves/sec

λ₂ = v/16000

Then,

The factor by which the first sound wave is longer than the second sound wave is

λ₁/ λ₂ = (v/20) ÷( v/16000)

= (v/20) × 16000/v)

= 16000/20

= 800

Hence, the sound wave with a <u>frequency of 20</u> waves/sec is 800 longer than the wavelength of a sound wave with a <u>frequency of 16,000</u> waves/sec

Learn more on Calculating wavelength here: brainly.com/question/16396485

#SPJ1

6 0
2 years ago
Answers? Or a hint please I’m begging
olga2289 [7]
Hmm I would say x=q
Hope this helps u <3
6 0
3 years ago
Given that P(A)=0.5 and p(AUB)=0.6 find the P(B) if P(A/B) =0.4?
Yuki888 [10]
First we have to find p(AnB)
P(A/B)=p(AnB)/p(A)
P(AnB)=p(A) x p(A/B)
P(AnB)=0.5 x 0.4 = 0.2
Then to find p(B)
P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 0.5+p(B)-0.2
0.6=0.3+p(B)
P(B)=0.6-0.3=0.3

4 0
2 years ago
In a group of 60 students, 18 students take Algebra I, 20 students take Algebra II, and 10 students take both subjects. How many
frosja888 [35]
Your answer is B. 12. 

12 kids are unaccounted for after you subtract the kids that take A1, then A2, the both subjects. 
6 0
4 years ago
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