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4 years ago

What is a ratio comparing two quantities with different kinds of units

1 answer:

3 0

<em>A ratio camparing two quantities with different kinds of units is a ratio that tells the rate of change of one variable with a change in other variable.</em>

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On Monday Val walked 4 miles in 1 1/2 hour. On Tuesday she walked 3 miles in 9/10 hour. Did Val walk at the same rate on both da

Ugo [173]

No she did not walk at the same rate

4 0

3 years ago

27 divided by 53 minus 6 plus 53 times -2 squared

mamaluj [8]

Answer:

$\left(\left(\frac{27}{53}\right)-6\right)+\left(53\left(-\left(2^2\right)\right)\right)=-\frac{11527}{53}\quad \left(\mathrm{Decimal:\quad }\:-217.49056\dots \right)$

Step-by-step explanation:

Considering the expression

27 divided by 53 minus 6 plus 53 times -2 squared

Which can be written as

$\left(\left(\frac{27}{53}\right)-6\right)+\left(53\cdot \left(-\left(2^2\right)\right)\right)$

So, solving the expression

$\left(\left(\frac{27}{53}\right)-6\right)+\left(53\cdot \left(-\left(2^2\right)\right)\right)$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$=\frac{27}{53}-6-53\cdot \:2^2$

$\mathrm{Convert\:element\:to\:fraction}:\quad \:6=\frac{6\cdot \:53}{53}$

$=-\frac{6\cdot \:53}{53}+\frac{27}{53}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{-6\cdot \:53+27}{53}$

$=\frac{-291}{53}$ ∵ $-6\cdot \:53+27=-291$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$=-2^2\cdot \:53-\frac{291}{53}$

$=-212-\frac{291}{53}$ ∵ $53\cdot \:2^2=212$

$\mathrm{Convert\:element\:to\:fraction}:\quad \:212=\frac{212\cdot \:53}{53}$

$=-\frac{212\cdot \:53}{53}-\frac{291}{53}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{-212\cdot \:53-291}{53}$

$=\frac{-11527}{53}$ ∵ $-212\cdot \:53-291=-11527$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$=-\frac{11527}{53}$

Therefore,

$\left(\left(\frac{27}{53}\right)-6\right)+\left(53\left(-\left(2^2\right)\right)\right)=-\frac{11527}{53}\quad \left(\mathrm{Decimal:\quad }\:-217.49056\dots \right)$

Keywords: algebraic expression

Learn more about solving algebraic expression from brainly.com/question/4687406

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8 0

4 years ago

Can you answer these please

blondinia [14]

14.
$16x^6+22x^2+30x^5
\\2x^2(8x^4+11+15x^3)
\\\\GCF=2x^2
\\\\15.
\\\\(7v^3-10v^2+9v^4)
\\v^2(7v-10+9v^2)
\\\\GCF=v^2
$
16.
x² +17x + 72
(x + 9)(x + 8)
x + 9 =  0 ∧ x + 8 = 0
x = -9    ∧ x = -8

17.
4v² - 16v + 7

Break the expression into groups

(4v² - 2v) + (-14v + 7)

Factor out 2v from 4v² - 2v and factor out -7 from -14v + 7

2v (2v - 1) - 7 (2v - 1)

(2v - 1) (2v - 7)
2v - 1 = 0   ∧ 2v - 7 = 0
2v = 1 ∧ 2v = 7
$v = \frac{1}{2}$ ∧    $v = \frac{7}{2}$

18.
n² - 16n + 64
(n - 8) (n - 8)
n = 8   ∧ n = 8

19.
6t² - 54

Factor out the common term 6

6 (t² - 9)

Factor (t² - 9)

6 (t² - 9)
6 (t + 3) (t - 3)
t = -3 * 6    ∨ t = 3 * 6
t = -18   ∨ t = 18

20.
y² - 121
(y - 11) (y + 11)
y = 11 ∧   y = -11

8 0

3 years ago

Emily is entering a bicycle race for charity. Her mother pledged $0.40 for every 0.25 mile she biked. If Emily bikes 15 miles, h

Stolb23 [73]

Answer:

Her mother will donate $24

Step-by-step explanation:

In order to find this, first find the unit rate. To do so, divide the amount by the number of miles it takes to get that amount.

$0.40/0.25 miles = $1.60 per mile

Now we multiply that by the total number of miles.

$1.60 per mile * 15 miles = $24

8 0

3 years ago

Heeeeeelp meeeee pleassseeee D:

gregori [183]

V=hpir^2

A.
divide both sides by pir^2
$\frac{V}{\pi r^2} =h$

B.
use $\frac{V}{\pi r^2} =h$
given
V=32π
r=2
$\frac{32\pi}{\pi (2^2)} =h$
$\frac{32\pi}{4\pi} =h$
8=h
height is 8 inches

6 0

3 years ago