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VARVARA [1.3K]
3 years ago
8

3x-5+2x=15+4x-5 how do I solve this step by step

Mathematics
1 answer:
bezimeni [28]3 years ago
6 0
3x - 5 + 2x = 15+ 4x - 5
5x - 5 = 10 + 4x
5x - 5 + 5 = 10 +5 +4x
5x = 4X + 15
5x - 4x = 4x - 4x + 15
x = 15 
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The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed, with a mean of 11.711.7 fluid
dexar [7]

Answer:  0.1499

Step-by-step explanation:

Given : The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed, with mean \mu=11.7\text{ fluid ounces}

Standard deviation : \sigma=0.2\text{ days}

z-score : z=\dfrac{X-\mu}{\sigma}

For X = 11.5  

z=\dfrac{11.5-11.7}{0.2}\approx-1

For X = 11.6  

z=\dfrac{11.6-11.7}{0.2}\approx-0.5

Now, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces will be :-

P(11.5

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4 years ago
Each month for 6 months , Kelsey completes 5 paintings. How many more paintings does she need to complete before she has complet
Ksenya-84 [330]
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7 0
3 years ago
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Simplify the scalar multiplication on the matrix.
Romashka-Z-Leto [24]

Answer:

third option

Step-by-step explanation:

Given

3 \left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right]

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= \left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right]

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3 years ago
3 1⁄2 kilometers = hectometers
lawyer [7]

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3 years ago
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A lunch bill is $12 before tax. If the tax on the bill is 7.5% what is the total cost of the lunch including tax?
nikitadnepr [17]

Answer:

\boxed{ \bold{ \huge{\boxed{ \sf{ \: 12.9 \: \:  dollars}}}}}

Step-by-step explanation:

Given,

Cost without tax = $ 12

Tax percent = 7.5 %

Cost including tax = ?

<u>First</u><u>,</u><u> </u><u>finding </u><u>the</u><u> </u><u>tax</u><u> </u><u>amount</u><u> </u><u>:</u>

\sf{tax \: amount \:  =  \: 7.5 \: \% \: of \: 12}

⇒\sf{tax \: amount =  \frac{7.5}{100} \times 12}

⇒\sf{tax \: amount = 0.9} dollars

<u>Finding </u><u>the</u><u> </u><u>total</u><u> </u><u>cost</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>lunch</u><u> </u><u>including </u><u>tax</u><u> </u><u>:</u>

⇒\sf{total \: cost \:  =  \: 12 + 0.9}

⇒\sf{total \: cost \:  =  \: 12.9} dollars

Hope I helped!

Best regards ! :D

6 0
3 years ago
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