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3 years ago

Patrick is collecting data on shoe size. What type of data is this?

Mathematics

1 answer:

OleMash [197]3 years ago

3 0

B discrete quantitative because shoe size represent a quantity

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What is the equation of a line, in Slope Intercept Form, with a slope of 4 and passes through the point (1, 6)?

Butoxors [25]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = 4 → $y=4x+b$

and point (1, 6). Substitute:

$6=4(1)+b$

$6=4+b$ <em>subtract 4 from both sides</em>

$2=b\to b=2$

<h3>Answer: y = 4x + 2</h3>

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3 years ago

Penny reads 11 pages in 1/3 hour. How many pages does she read per hour?

dolphi86 [110]

Answer:

33 pages per hour

Step-by-step explanation:

11 pages=1/3 hour

22 pages=2/3 hour

33 pages= 3/3 hour or 1 hour

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2 years ago

What are the three types of systems of linear equations and how are the different?

Shkiper50 [21]

Answer:

Consistent/Independent, Inconsistent, Dependent

Step-by-step explanation:

<u>Consistent/Independent:</u>

Where there's only one unique solution

<u>Inconsistent</u>

Where there is no solution

<u>Dependent</u>

Where the solution is dependent

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2 years ago

21. In 4 + In(4x - 15) = In(5x + 19)

Alexxx [7]

Answer:

$x=-30;\quad \:I\ne \:0$

Step-by-step explanation:

$In\cdot \:4+In\left(4x-15\right)=In\left(5x+19\right)$

$\:4+In\left(4x-15\right):\quad -11nI+4nxI\\In\cdot \:4+In\left(4x-15\right)\\=4nI+nI\left(4x-15\right)\\\\\:In\left(4x-15\right):\quad 4nxI-15nI\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=In,\:b=4x,\:c=15\\=In\cdot \:4x-In\cdot \:15\\=4nxI-15nI\\=In\cdot \:4+4nxI-15nI\\\mathrm{Simplify}\:In\cdot \:4+4nxI-15nI:\quad -11nI+4nxI\\In\cdot \:4+4nxI-15nI\\\mathrm{Group\:like\:terms}\\=4nI-15nI+4nxI\\\mathrm{Add\:similar\:elements:}\:4nI-15nI=-11nI\\=-11nI+4nxI\\$

$\mathrm{Expand\:}In\left(5x+19\right):\quad 5nxI+19nI\\In\left(5x+19\right)\\=nI\left(5x+19\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=In,\:b=5x,\:c=19\\=In\cdot \:5x+In\cdot \:19\\=5nxI+19nI\\\\-11nI+4nxI=5nxI+19nI\\\\\mathrm{Add\:}11nI\mathrm{\:to\:both\:sides}\\-11nI+4nxI+11nI=5nxI+19nI+11nI\\Simplify\\4nxI=5nxI+30nI\\\mathrm{Subtract\:}5nxI\mathrm{\:from\:both\:sides}\\4nxI-5nxI=5nxI+30nI-5nxI\\\mathrm{Simplify}\\-nxI=30nI\\$

$\mathrm{Divide\:both\:sides\:by\:}-nI;\quad \:I\ne \:0\\\frac{-nxI}{-nI}=\frac{30nI}{-nI};\quad \:I\ne \:0\\\mathrm{Simplify}\\\frac{-nxI}{-nI}=\frac{30nI}{-nI}\\\mathrm{Simplify\:}\frac{-nxI}{-nI}:\quad x\\\frac{-nxI}{-nI}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{nxI}{nI}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{xI}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=x\\\mathrm{Simplify\:}\frac{30nI}{-nI}:\quad -30\\\mathrm{Apply\:the\:fraction\:rule}:$

$\quad \frac{a}{-b}=-\frac{a}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{30I}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=-30\\x=-30;\quad \:I\ne \:0$

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3 years ago

The value of the digit 8 in this number is 80. The value of the digit 7 in this number is not 7. The number is?

Gekata [30.6K]

The seven is in the ones place because its the only number there

3 0

2 years ago