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2 years ago

Ramon uses models to compare two decimial he says 0.09 greater than 0.1 because 9>1 which of these explain ramon's mistake

Mathematics

1 answer:

Shalnov [3]2 years ago

5 0

Answer:

Ramon's mistake was that he used whole numbers in comparison to decimals, which is not an accurate way to solve. Think about it this way, 0.1 is the tens place, 0.01 is the hundreds place. Which would be greater 100% of the time? The hundreds place, in decimal terms, the hundredths.

0.09 is greater than 0.1

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Jon has to pay $7.50 admission for the skating rink and $1.50 per hour to rent rollerblades. Write an equation for the cost (y)

Nata [24]

Answer:

y = 7.50 + 1.50x

Step-by-step explanation:

The admission costs $7.50 and after x hours Jon has to pay $1.50*x. Then the cost y in dollars is

y = 7.50 + 1.50x where x is the number of hours.

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3 years ago

14-5+20÷2^2+4 wich order

Sladkaya [172]

14-5+20÷2∧2+4

exponent first: 14-5+20÷4+4

Divide: 14-5+5+4

Solve left to right: 9+5+4

add all: 14+4 = 18

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3 years ago

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

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3 years ago

if i have a line y=4x+7. I want to create another line that is perpendicular through point A (16,2). What is the new equation?

Charra [1.4K]

Perpendicular lines have the negative reciprocal slope, so the slope of your new line will be -1/4 and the current equation will be as follows:
y = -1/4x + b
(where b is the y intercept)

to find b, plug in point A and you'll get:
2 = -1/4(16) + b
2 = -4 + b
6 = b

the equation will be:
y = -1/4x + 6

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3 years ago

Marta is solving the equation S = 2Πrh + 2Πr2 for h. What is the result?

yulyashka [42]

S = 2Πrh + 2Πr2
Manipulating the equation for h.
Step 1. subtract 2Πr2 on both sides.

S - 2Πr2 = 2Πrh + 2Πr2 - 2Πr2
S - 2Πr2 = 2Πrh

Step 2 . divide 2Πr on both sides

(S - 2Πr2)/2Πr = 2Πrh/2Πr

h = (S - 2Πr2)/2Πr

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3 years ago