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2 years ago

Christian reads 1/4 book every 2/3 week. How many books does Christian read per week?

2 answers:

8 0

(1/4) / (2/3) = x / 1...1/4 book to 2/3 week = x books to 1 week
cross multiply because this is a proportion
2/3x = 1/4
x = 1/4 * 3/2
x = 3/8 per week

ratelena [41]2 years ago

4 0

First you must convert the denominator to an equal number by finding a same multiple, in this case it is 12. So the factions convert to 3/12 and 8/12. Now add the two, resulting in 11/12. So the answer is 11/12

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Match each expression with an equivalent expression.

jolli1 [7]

1=6x-4x

2= 6x-4

3=6-4x

4=6x-4y

6 0

3 years ago

The Ferris wheel has a radius of 70 feet. The distance between the wheel and the ground is 4 feet. The rectangular coordinate sy

Gemiola [76]

Answer:

x² + (y-74)² = 4900

Step-by-step explanation:

Circle equation: (x-h)² + (y-k)² = r²

"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:

h = 0
k = 74 (the radius + 4 ft.)
r = 70

So plugging those into the equation of circles, we get the answer above.

7 0

3 years ago

If 1once of toppings costs. .50 how much would 11onces be

dybincka [34]

Answer:

If one ounce of toppings cost $0.50, then you would need to take $0.50*11

.5*11= 5.5

11 ounces would be $5.50

hope this helps ;)

6 0

2 years ago

Total deviationequals_______ deviationplus_______ deviation choose the correct answer below.

Tom [10]

<span>The correct answer is (a) total deviation equals unexplained deviation plus explained deviation.

These deviations are commonly encountered or studied in statistics, and sometimes in regression analysis.</span>

7 0

3 years ago

Read 2 more answers

Can someone explain the process getting from:

spin [16.1K]

$\rm 5=e^{3b}$

The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.

We'll take log of each side.
Log of what base tho?

Well, the base of our exponential is e,
so we'll take log base e of each side.

$\rm log_e(5)=log_e(e^{3b})$

We'll apply one of our log rules next:
$\rm \log(x^y)=y\cdot\log(x)$

This allows us to take the exponent out of the log,

$\rm log_e(5)=(3b)log_e(e)$

Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
$\rm log_{10}(10)=1$
$\rm log_5(5)=1$
$\rm log_e(e)=1$

So our equation simplifies to this,

$\rm log_e(5)=(3b)\cdot1$

As a final step, divide both sides by 3,

$\rm \frac13log_e(5)=b$

k, hope that helps!

6 0

3 years ago