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Veseljchak [2.6K]
4 years ago
13

Solve 8(3x-4)=4x-2. Help

Mathematics
2 answers:
FinnZ [79.3K]4 years ago
8 0
X = 3/2

<em><u>I hope this could help!</u></em>
Over [174]4 years ago
5 0
We have such equation
8(3x-4)=4x-2 
8*3x-4*8=4x-2
24x-32=4x-2          /-4x (subtract 4x both sides)
20x-32=-2              /+32 (add 32 both sideS)
20x=30                  /:20 (divide both sides by 20)
x=\frac{3}{2} - its the answer
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The metric system has several advantages that include all of the following except _____.
4vir4ik [10]

Answer:

Only 10 base units to learn

Step-by-step explanation:

The metric system is a decimal based system developed to be universally acceptable by making use of base units from obtained from nature and the use of prefixes for multiples and submultiples of the base units, decimal ratios, which allows easy representation of quantities, as well as having a coherent structure of base and derived units which are obtained from the base units

During conversion in the metric system, which is decimal based, it is only required to move the decimal point

The prefixes which are used to specify multiples and submultiples are the same through out

The decimal system is based on the powers of ten

The number of base units to learn are 7 including; 1. Meter (m), 2. Kilogram (kg), 3. Second (s), 4. Ampere (A), 5. Kelvin (k), 6. Candela (cd), and 7. mole (mol)

Therefore the metric system has several advantages that include all of the following except; Only 10 base units to learn

4 0
3 years ago
Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The
andriy [413]

The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .

<u>Step-by-step explanation:</u>

Here we have , Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The average time is 11 seconds. The 8 athletes with the fastest time qualified for the final. The average time of these 8 athletes is 10.5 seconds. Let's have equations for this:

\frac{x_1+x_2+.....+x_2_8}{28} = 11 where x_1, x_2, ....., x_2_8 are athletes

⇒ x_1 + x_2 + .. + x_2_8 = 11(28)= 308

⇒ (x_1 + x_2 + .. + x_8 )+ (x_9+x_1_0+...+x_2_8) = 308

⇒ (\frac{x_1 + x_2 + .. + x_8}{8}  )(8)+ (\frac{x_9+x_1_0+...+x_2_8}{20} )(20) = 308

⇒ 10.5(8)+m(20) = 308 , where m is average time of the 20 athletes who did not qualify for the final.

⇒ 84+m(20) = 308

⇒ 20m= 224

⇒ m=11.2

∴ The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .

8 0
3 years ago
sara making punch for her party her punch bowl holds 600 ounces for 80 servings of punch write and solve an equation to find how
nlexa [21]

There are 7.5 ounces in each serving

<em><u>Solution:</u></em>

Given that, Sara making punch for her party her punch bowl holds 600 ounces for 80 servings of punch

<em><u>To find: Ounces of punch in each serving</u></em>

From given,

Number of servings = 80

Ounces in bowl = 600 ounces

Then, Ounces of punch in each serving is found by dividing the ounces in bowl by number of servings

<em><u>The formula used is:</u></em>

\text{ Ounces of punch in each serving } = \frac{\text{Ounces in bowl}}{\text{Number of servings}}

<em><u>Substituting the values we get,</u></em>

\text{ Ounces of punch in each serving } = \frac{600}{80}\\\\\text{ Ounces of punch in each serving } = 7.5

Thus there are 7.5 ounces in each serving

5 0
3 years ago
Simplify. <br><br>(2x^2-5x+3) - (-x^2+4x-5)
Elenna [48]
3x^2-9x+8 is the answer
6 0
4 years ago
Read 2 more answers
Solve: |x2 - 4 | = x + 2
Sunny_sXe [5.5K]

\tt\it\bf\it\huge\bm{\mathfrak{{\red{hello*mate♡}}}}

\tt\it\bf\huge\it\bm{\mathcal{\fcolorbox{blue}{yellow}{\red{ANSWER==>}}}}

_______________________________

<h3>x²-4=x+2</h3>

<h3>=>x²-x-4-2=0</h3>

<h3>=>x²-x-6=0</h3>

<h3>=>x²-3x+2x-6=0</h3>

<h3>=>x(x-3)+2(x-3)=0</h3>

<h3>=>(x-3)(x+2)=0</h3>

<h3>=>x=3 and x= -2</h3>

<h2>iz the correct answer!</h2>

✌️✌️

_______________________________

\tt\it\bf\huge\it\bm{\mathcal{\fcolorbox{blue}{yellow}{\red{BE-BRAINLY !}}}}

3 0
3 years ago
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