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3 years ago

7

A student is asked to solve the equation below and to justify her/his steps. Identify what, if anything, is incorrect in her/his

math or justification. x + 6 = –10

1 answer:

snow_tiger [21]3 years ago

3 0

The - number has to t o be more then 6 in order to get -10. Answer= -16

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2 whole and 2/4 divided by 4 wholes and 1/8

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0.6060606060606

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Write the next three terms in each sequence. Make sure your

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3 years ago

Zack wants a new skateboard that costs $98. He has a coupon for 20% off the original price. The sales tax is 6%, what is the fin

svet-max [94.6K]

The final cost of skateboard will be $83.10

Step-by-step explanation:

Given,

Cost of skateboard = $98

Coupon = 20% off

Amount of discount = 20% of cost of skateboard

$Amount\ of\ discount=\frac{20}{100}*98\\\\Amount\ of\ discount=\frac{1960}{100}\\\\Amount\ of\ discount=\$19.6$

Cost of skateboard after discount = Cost of skateboard - Amount of discount

Cost of skateboard after discount = 98 - 19.6 = $78.4

Sales tax = 6%

Sales tax amount = 6% of discounted price

$Sales\ tax\ amount=\frac{6}{100}*78.4\\\\Sales\ tax\ amount=\frac{470.4}{100}\\\\Sales\ tax\ amount=\$4.70$

Final cost of skateboard = Discounted price + Sales tax

Final cost of skateboard = 78.40+4.70 = $83.10

The final cost of skateboard will be $83.10

Keywords: sales tax, addition

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3 years ago

In the fraction 7/8, the numerator denominator is 7.

ololo11 [35]

7/8 is the fraction

7 is the numerator

8 Is the denominator

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What is the equation of the line that is perpendicular to y= -3x + 1 and passes through (2,3)?

Aleonysh [2.5K]

Answer:

$\large\boxed{y=\dfrac{1}{3}x+2\dfrac{1}{3}}$

Step-by-step explanation:

$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=-3x+1\to m_1=-3.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-3}=\dfrac{1}{3}.\\\\\text{The equation of the searched line:}\ y=\dfrac{1}{3}x+b.\\\\\text{The line passes through }(2,\ 3).$

$\text{Put the coordinates of the point to the equation.}\ x=2,\ y=3:\\\\3=\dfrac{1}{3}(2)+b\\\\3=\dfrac{2}{3}+b\qquad\text{subtract}\ \dfrac{2}{3}\ \text{from both sides}\\\\b=2\dfrac{1}{3}$

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3 years ago

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