The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?

Answers

Answer 1
if k is a constant of proportionality then we know from last week that
512= k ·32 so k=512/32=16;

This week 
448= k · amount he saved
448=16· amount he saved
amount saved=448/16=28

Answer $28


Answer 2

Answer:

$28.

Step-by-step explanation:

Let y represent of saved money and x represent amount of earned money.

We have been given that the amount of money that Charlie saves each week is directly proportional to the amount he earns.

We know that two proportional quantities are in form [tex]y=kx[/tex], where, k is constant of proportionality.

Substitute given values and solve for k:

[tex]32=k*512[/tex]

[tex]\frac{32}{512}=\frac{k*512}{512}[/tex]

[tex]\frac{1}{16}=k[/tex]

To find amount of saved money, we will substitute [tex]k=\frac{1}{16}[/tex] and [tex]x=448[/tex] in our equation.

[tex]y=\frac{1}{16}\cdot 448[/tex]

[tex]y=28[/tex]

Therefore, Charlie saved $28 in the given week.


Related Questions

Aura picked the expression 9×3 to find the total number of flowers she picked. A) She picked 9 flowers and then picked 3 more flowers. B) She picked nine flowers from each of 3 flower beds. C)She picked 9 flowers and divided them into 3 cases. D) She picked 9 flowers and then put 3 into a vase.

Answers

The correct scenario is B) She picked nine flowers from each of 3 flower beds.

The question posed asks which scenario accurately describes the mathematical expression 9×3 in the context of picking flowers.  The expression 9×3 implies that the number 9 (the number of flowers picked from one bed) is multiplied by 3 (the total number of beds from which flowers are picked), thus resulting in a total count of flowers picked. Therefore, the multiplication of these two numbers indicates repeated addition, such as picking a set number of flowers from multiple identical sets.

Additionally, if we were to consider other aspects such as flower color ratios or Darwinian genetics, we could take example scenarios such as: "50% of the flowers are blue and 50% of the flowers are red" or "You would expect 300 homozygous dominant blue flowers, 300 heterozygous blue flowers, and 200 homozygous recessive red flowers", but these do not pertain directly to the mathematical operation represented by 9×3 in this context.

What formula should I use for this?

Answers

If they're asking for the nth term, you should use n in your formula, ie.,

a(n) = 6000 * 0.5ⁿ

However, the first term is when n=1, so your formula should really be:

a(n) = 6000 * 0.5⁽ⁿ⁻¹⁾

Then the 8th term is 46.875 

Saul flips a coin 20 Times and determines that the probability of flipping heads is 0.55. Is this experimental or theoretical probability

Answers

This is experimental. Saul has conducted an experiment to come to this solution

Justin had 80 cricket cards but swapped 3/8 of them how many did he swap

Answers

[tex] \frac{3}{8} [/tex] of 80 cards
You can multiply to get the final answer
[tex] \frac{3}{8} [/tex] x 80
(80 and 8 cancels to give 10)
                       ↓
          3 x 10 = 30 cards


The number of cards he swapped
80 x 3/8
30

if their are fewer than 7 gallons of gas in the tank. Use f as your variable.

Write a inequality.

Answers

f<7 because there are fewer than 7 gallons in the tank meaning it cannot be greater than or equal to so it is just less than

If 1 is added to the numerator and to the denominator of a fraction,the value obtained is 4/5.If 5 is subtracted from it's numerator and from it's denominator, the resulting value is 1/2.Find the fraction.

Answers

Let n and d represent the numerator and denominator of the fraction.
.. (n +1)/(d +1) = 4/5
.. (n -5)/(d -5) = 1/2
Eliminating fractions from these equations gives
.. 5(n +1) = 4(d +1)
.. 2(n -5) = (d -5)
Subtracting the first equation from 4 times the second gives
.. 4(2(n -5)) -(5(n +1)) = 4(d -5) -(4(d +1))
.. 8n -40 -5n -5 = 4d -20 -4d -4
.. 3n = 21
.. n = 7
.. 2(7 -5) = d -5
.. 9 = d

The fraction is 7/9.

a rectangular prism has a volume of 300 cm squared if the scale factor of the second rectangular prism is 3.5 what is the volume of the second rectangular prism

Answers

Volume of rectangular prism= 30 cm³
Formula for volume of rectangular prism:
V=whl
Scale factor of second prism= 3.5 
Which is 3 and a half times greater than the 1st one.
So volume of 2nd prism = 3. 5 x 300 
V= 1050 cm³

Answer: Volume of second Rectangular Prism is 1050 cm³

Solve for θ if sinθ = 0.45. Round answer to the nearest degree.

Answers

If you look in a table of sines, you find that sin(θ) = 0.45 corresponds to an angle of about 26°45', so is nearest to 27°.

Charles rode 1.6 miles more on Thursday than on Tuesday. Find the number of miles he rode on Tuesday and Thursday.

Answers

use this equation to find the answer x being Thursday and y being Tuesday 
x+1.6 = y-1.6

A wave traveling at 230 m/sec has a wavelength of 2.1 meters. What is the frequency of the wave?

Answers

Velocity = wavelength * frequency,
frequency = velocity/wavelength,
230/2.1,
109.5 Hz

Hope this helps :)

Answer:

The frequency of the wave is 109.52 Hz.

Step-by-step explanation:

Given : A wave traveling at 230 m/sec has a wavelength of 2.1 meters.

To find : What is the frequency of the wave?

Solution :

We know that,

[tex]\text{Velocity} =\text{ Wavelength}\times \text{Frequency}[/tex]

We have given,

Velocity of wave is 230 m/s.

Wavelength is 2.1 meters.

Substitute in formula,

[tex]230 =2.1\times \text{Frequency}[/tex]

[tex]\text{Frequency}=\frac{230}{2.1}[/tex]

[tex]\text{Frequency}=109.52[/tex]

Therefore, The frequency of the wave is 109.52 Hz.

Kyle divided 2 3 on his calculator and got .6667. Where did the 7 come from?

Answers

Would it be the remainder number??

The 7 in .6667 when Kyle divided 2 3 came from rounding the decimal during the calculation process in the calculator.

The 7 in .6667, when Kyle divided 2 3 on his calculator, came from rounding the decimal.

When a calculator displays a decimal, it often rounds the number to a specific decimal place, causing the appearance of non-repeating numbers like 7 in this case.

Limited by the display's capacity for decimal places, calculators round off the result, leading to the appearance of additional digits beyond the actual result.


Meg rolled a fair six-sided die 28 times. The table below shows the number of times each number was rolled:


Number Cube Experiment
Number on
the Cube Number of
Times
Appeared
1 2
2 7
3 9
4 4
5 6
6 0



According to the results in the chart, what is the experimental probability of getting a number less than 3 on the die?

19 over 28
9 over 28
7 over 28
2 over 28

Answers

The answer is 100% 9/28

Answer:

9/28 it is right

Jay and Libby are working outside when they see a blimp flying over the neighborhood. Jay is mowing the lawn approximately 2,500 feet (ft) from Libby when they both see the blimp. Libby looks up from her gardening at an angle of while Jay looks up at an angle of 35°. Which distance, in feet, is closest to the vertical height of the blimp above the ground?

A. 1,751 feet
B. 2,331 feet
C. 7,027 feet
D. 7,535 feet

Answers

I found your complete question in other sources.
 To solve this problem we make the following system of equations:
 tan (35) = ((y) / (x + 2500))   
 tan (43) = ((y) / (x))
 Resolving we have:
 y = 7026.828214
 See attached images for the solution of the system of equations.
 Answer:  The vertical height of the blimp above the ground is:
 C. 7,027 feet

The vertical height of the blimp above the ground, which is seen by Jay and Libby while working outside, is 7027 ft.

What is right angle triangle property?

In a right angle triangle, the ratio of the opposite side to the adjacent side is equal the tangent angle between the adjacent side and hypotenuse side.

[tex]\tan\theta=\dfrac{b}{a}[/tex]

Here, (a) is the adjacent side, (b) is the opposite side.

Let the height of the blimp from the ground is y ft and the length of the ground to the Libby's position is x ft shown in the attached image below.

As the angle made by the Libby at the height of the blimp is 43 degrees. Therefore,

[tex]\tan43=\dfrac{y}{x}\\x=1.0724y[/tex]          ......1

Here, Jay is mowing the lawn approximately 2,500 feet (ft) from Libby when they both see the blimp.

Libby looks up from her gardening at an angle of while Jay looks up at an angle of 35 degrees. Therefore,

[tex]\tan35=\dfrac{y}{x+2500}[/tex]

Put the value of x in the above equation from equation one as,

[tex]\tan35=\dfrac{y}{1.0724y+2500}\\0.7002(1.0724y+2500))=y \\y\approx7027 \rm \; ft[/tex]

Hence, the vertical height of the blimp above the ground, which is seen by Jay and Libby while working outside, is 7027 ft.

Learn more about the right angle triangle property here;

https://brainly.com/question/22790996

Morgan measures the capacity of a juice glass to be 12 fluid ounces.If she uses the glass to drink 4 glasses of water throughout the day, how many pints of water does Morgan drink?

Answers

she drinks 3 pints in total
(4 glass)*(12 floz/glass)*(1 pint)/(16 floz) = 3 pints

One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 195 nautical miles?

Answers

(d km)/(195 nm) = (185 km)/(100 nm)
d = 1.95*185 km ≈ 361 km

195 nautical miles is about 361 kilometers.

Answer:

361 is the correct answer


Michael is making cookies. Each batch uses 2 cups of flour. He plans to use less than 30 cups of flour for cookies so that he has enough left to make muffins. He has already used 4 cups of flour for cookies.

Which statement describes how many more batches of cookies Michael can make?

Answers

12 more batches, which would be 24 cups of flour.
Hello there!

Your question states: Michael is making cookies. Each batch uses 2 cups of flour. He plans to use less than 30 cups of flour for cookies so that he has enough left to make muffins. He has already used 4 cups of flour for cookies.
Which statement describes how many more batches of cookies Michael can make?


The answer is A) Michael can make fewer than 13 batches of cookies. This also can be represented by 

cookies  < 13 batches


Hope I helped!

Let me know if you need anything else!

~ Zoe

how do sales tax and property taxes affect the cost of an item

Answers

They affect the cost of an item by giving another few cents to make the money more for the item that u bought


The graph shows the number of paintballs a machine launches, y, in x seconds.

Which expression can be used to calculate the rate per second at which the machine launches the balls?

A) 80/4
B) 20/4
C) 4/80
D) 4/20

Answers

Divide the y-value by the x-value.

(4, 16)

16 divided by 4 is 4.


The answer is B, 20 balls in 4 seconds. Or 5 balls per second.


Hoped I helped! Please correct me if I'm incorrect.





Answer:

B) 20/4

Step-by-step explanation:

Required rate = [tex]\frac{Number of balls launched}{Time}[/tex]

From the graph, it is evident that (4, 20), (8, 40), (12, 60) and (16, 80) are points.

This means that

20 balls launched in 4 seconds and the rate = 20/4

40 balls launched in 8 seconds and the rate = 40/8 = 20/4

60 balls launched in 12 seconds and the rate = 60/12 = 20/4

80 balls launched in 16 seconds and the rate = 80/16 = 20/4

Hence, the rate per second at which the machine launches the balls is 20/4 and the correct option is (B).

triangles q'r's' is a translation of triangle QRS which transformation created triangle q'r's'

A. Translation 3 units left and 5 units up
B. Translation 5 units left and 3 units up
C. Translation 3 units right and 5 units down
D. translation 5 units right and 3 units down

Answers

Final answer:

To determine which transformation created triangle q'r's' from triangle QRS, one would compare the vertices of the original and translated triangles. This comparison would reveal the horizontal and vertical distances each point has been moved, indicating the correct translation.

Explanation:

The question asks which transformation created triangle q'r's' from triangle QRS. The correct answer will be the translation that moves triangle QRS to the new position of triangle q'r's'. When a figure is translated, all points move the same distance in the same direction. Given the options, we need to choose the translation that shifts the triangle in the correct direction and by the correct number of units.

Without specific coordinates, we cannot determine the exact translation from the given options. However, if we had the positions of triangles QRS and q'r's', we could compare their corresponding vertices to find the difference in their 'x' (horizontal) and 'y' (vertical) coordinates. This difference would tell us how far and in which direction the triangle has been translated.

Plz help it’s the ANDREA ONe

Answers

Assuming that all measurements are the same, as the formula for volume of a box is simply

S^3. Make this expression equal 90 cubic inches. Then take the cube root to solve for s. The value of s are your measurements for the length width and height of the box.

S = 4.48 in.







Zander uses an on-line store that sells
songs for $1 each and movies for $6.
He used all of his $20 allowance to buy
10 items.

a. Write one equation in a system for this situation.

b. Write a second equation in the system.

c. What do x and y represent?

d. How many songs and how
many movies did he buy?

Answers

Final answer:

To solve this problem, set up a system of equations and solve for the number of songs and movies Zander bought using substitution or elimination.

Explanation:

To solve this problem, we can set up a system of equations to represent the situation:

x + y = 10

$1x + $6y = $20

The first equation represents the total number of items Zander bought, which is 10.The second equation represents the total amount of money Zander spent, which is $20.x represents the number of songs Zander bought, and y represents the number of movies Zander bought.To solve the system of equations, we can use any method, such as substitution or elimination. For example, using substitution, we can solve for x in the first equation and substitute it into the second equation to find the value of y.Once we have the value of y, we can substitute it into the first equation to find the value of x.So, Zander bought 4 songs and 6 movies.

The height of a trapezoid is 8 in. and it’s area is 96 in^2. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Explain how you found your answer.

Answers

A=(B+b)*h/2=96
 
(B+b)*8/2=96

⇒B+b=96*2/8=96/4=24

B=b+6

⇒(b+6)+b=24
2b+6=24
2b=24-6
2b=18
b=18:2
b=9 in.
B=9+6
B=15 in.

I'll give brainliest if you show your answer. Plz answer before thirty minutes.
The means and mean absolute deviations of the individual times of members of two relay swim teams are shown in the table below.
Means and Mean Absolute Deviations of
Individual Times of Members of 4*200- meter Relay Swim Teams

Team A Team B
Mean 127.9 s 127.4 s
Mean Absolute Deviation 0.26 s 0.23 s
The difference of the means is found and then compared to each of the mean absolute deviations. Which is true?
The difference between the mean times is about equal to the mean absolute deviation of the data sets.
The difference between the mean times is about 2 times the mean absolute deviation of the data sets.
The difference between the mean times is about 5 times the mean absolute deviation of the data sets.
The difference between the mean times is about 16 times the mean absolute deviation of the data sets.

Answers

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

127.9-127.4=0.5
0.26-0.23=0.03
0.5/0.03=16.6666

About 16 times

Answer:

The difference between the mean times is about 16 times the mean absolute deviation of the data sets.

Step-by-step explanation:

We are given the mean and mean absolute deviation of two teams in a table as:

                                              Team A           Team B

             Mean                        127.9 s             127.4 s

Mean Absolute Deviation     0.26 s             0.23 s

The difference of mean between two team is: 0.5 s

( Since 127.9-127.4=0.5 s)

Also, the difference of Mean absolute deviation is: 0.03 s

( Since, 0.26-0.23=0.03 s)

Now let the difference of the mean times be equal t n times the difference  of the mean absolute deviation of two teams

i.e.

      0.5=n×0.03

⇒ n=0.5/0.03

⇒ n=16.6667

which is approximately equal to 16.

Hence, The difference between the mean times is about 16 times the mean absolute deviation of the data sets.

Work out the circumference of this circle.
Take pi to be 3.142 and give your answer to 1 decimal place
The radius is 4cm

Answers

Formula for circumference of circle:
C=2πr
here radius, r=4 cm and π=3.142
Put values in formula.
C=2(3.142)(4)
C=25.1 cm (Rounded to 1 decimal place)

Answer: Circumference of the circle is 25.1 cm (Rounded to 1 decimal place)

Answer:

25.1

Step-by-step explanation:

Olga wrote all the natural numbers from 1 to k. Including 1 and k. How many numbers did she write?

Answers

Given that "Olga wrote all the natural numbers from 1 to k. Including 1 and k"

So Olga write k numbers.

lets take an example

if k = 10 , then natural numbers between 1 and 10 are 10 numbers that are 1 , 2 , 3 ,4 ,5 ,6 , 7 , 8 ,9 and 10.

Hence she write k numbers.

Help please don’t understand

Answers

Givens
======
b = 13
h = 9
Area = b*h
Area = 13*9 = 117 square in

Trapezoid
========
Givens 
b1=9
b2 = 15
h = 14
Area = (b1 + b2)*h/2
Area = (9 + 15)* 14/2
Area = 24 * 14 / 2
Area = 336/2
Area = 168 square inches.

Rhombus
=======
I can't see the second number I'll make one up. Redo the questioin and put a the number in
Area = 1/2 * d1 * d2
d1 = 18
d2 = 12 substitute what it really says here.
Area = 1/2 * 18 * 12
Area = 108

plzzzzzzzzzzzzzzz help

Answers

One
===
You need to get the total to 6/8
Cats = 1/8
Dogs = 5/8 The total here is 6/8

Two
===
Now you need the total to go to 5/8
4/8 + 1/8 will do it.
Cats = 4/8
Dogs = 1/8

Which statement below best describes the transformation of parallelogram WXYZ to parallelogram W' X' Y' Z'?

A a reflection across the x axis
B a reflection across the y axis
C a reflection across the x axis and then across the y axis
D a translation of 8 units down

Answers

The answer is B. A reflection across the x-axis.
The answer is B <<<<=====
A reflection across the x axis means that any point is moved down the same number of squares as that point is above the x axis. 

It is like seeing your reflection in a mirror. Your face looks like it is the same distance behind the glass as you measure your face in front of the glass.

Square roots question??

Answers

√5²+2*√5*√3+√3²

5+7.7+3

15.7

Two things you need to know.
a square root that is squared becomes the number under the root  sign
the general formula is a^2 + 2ab + b^2
sqrt(5)^2 + 2*sqrt(5)*sqrt(3) + sqrt(3)^2
5 + 2sqrt(15) + 3 
8 + 2sqrt(15) <<<<=====
Stop! 
Don't go any further. That is your answer.

how do u solve this question 3/4 - 1/3 =

Answers

You need to find the common denominator first. 3 * 4 = 12
3/4 = 9/12 and 1/3 = 4/12
9/12 - 4/12 = 5/12
1. Find the least common denominator (12).
3/4·3/3=9/12
1/3·4/4=4/12

2. Now you can subtract.
9/12-4/12=5/12.

So your answer is 5/12.
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