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aleksley [76]
3 years ago
13

Mr.Jackson is saving money to go on a trip. Last month,he saved $21 dolloars each week for 4 weeks. This month he saved 3 times

as much money as he saved last month. How much money did mr.Jackson save this month ?
Mathematics
1 answer:
Anit [1.1K]3 years ago
7 0

Answer:

The total amount he saved this month=84×3=$252

Step-by-step explanation:

Last month he saved 21 dollars each week for 4 weeks, to calculate the total amount he saved for the for weeks, we can express this as;

Total amount=Amount he saved per week×Number of weeks  

Where;

Amount he saved per week =$21

Number of weeks=4 weeks,

Replacing;

Total amount=21×4=$84

This month he saved 3 times as much money as he saved last month, this can be expressed as;

The total amount he saved this month=Amount saved last month×3

Where; Amount saved last month=$84

Replacing;

The total amount he saved this month=84×3=$252

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Kitty [74]

simplifying log\sqrt{24}+log6 we get log(12\sqrt{6})

Step-by-step explanation:

We need to simplify: log\sqrt{24}+log6

Solving:

Applying the rule:

log a + log b = log(ab)

log\sqrt{24}+log6\\=log(6\sqrt{24})\\\sqrt{24} = \sqrt{2*2*2*3} =\sqrt{2^2*6} =\sqrt{2^2} \sqrt{6}=2\sqrt{6}\\  Putting\,\,value:\\=log(6*2\sqrt{6})\\=log(12\sqrt{6})

So, simplifying log\sqrt{24}+log6 we get log(12\sqrt{6})

Keywords: Simplifying Logarithms

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3 years ago
Select the three equations that pass through the points (-4, -16) and (5,2).
dezoksy [38]

Answer:

The equation of the line is y-2 = 2(x - 5), that passes through points (-4, -16)\ and\ (5,2)

Step-by-step explanation:

Given points are (-4, -16)\ and\ (5,2)

We need to write the equation of the line that passes through these points

First, we will find slope of this line

m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-(-16)}{5-(-4)}\\\\m=\frac{2+16}{5+4}\\\\m=\frac{18}{9}=2

So, our slope is 2. Now, we will plug the point (5,2) in the equation below.

(y-y_1)=m(x-x_1)\\y-2=2(x-5)\\

So, the equation of the line is y-2 = 2(x - 5).

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Pedro has created the function f(x)= 4x-3/2 to represent the number of assingments he has completed where x represents the numbe
Law Incorporation [45]
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x =  number of weeks required to complete the assignments

We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:

1. Set y = f(x)
   y = 4x - 3/2

2. Exchange x and y
   x = 4y - 3/2

3. Solve for y
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4. Set y equal to f⁻¹ (x)
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5. Find f⁻¹ (30)
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Answer:
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Artyom0805 [142]

Answer:

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d

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