Michelle and her brothers Sam and Dean are saving money over summer break each week Michelle saves three times as much as Sam Sam saves $2 more than dean at the end of 5 weeks the three of them have saved a total of 240 how much money did each person spend

Answers

Answer 1
I believe you want to know how much each of them SAVED.

Let the amount saved by Michelle be x, the amount saved by Sam be y and the amount saved by Dean be z.

From the givens:
x = 3y (Michelle saves 3 times as much as Sam).......eq1
y = 2+z (Sam saves 2$ more than Dean)
z=y-2.........eq 2
x+y+z = 240 (total amount)......eq 3

substitute by equation 1 in 3:
3y+y+z=240
4y+z=240......eq 4

substitute by 2 in 4:
4y+y-2=240
5y=242
y= 48.4$

from 1:
x=3y
x=145.2$

from 2:
z=y-2
z=46.4$

Related Questions

how to find the volume of the cone?

Answers

volume of cone canbe calculated using the following rule:
volume of cone = (1/3) x pi x (radius)^2 x height

from the givens:
pi = 22/7
I'll assume that the 10 cm refers to the height
radius = 16/2 = 8 cm

substitute in the equation to get the volume as follows:
volume=(1/3) x (22/7) x (8x10^-2)^2 x (10x10^-2)
= 6.7 x 10^-4 m^3

how can we rewrite and/ or simplify expressions in exponential form?

Answers

You can change it into scientific notation!

What are some ways to describe the relationship between sets of numbers?
So like real numbers, Rational numbers, Integers, Whole Numbers, and Irrational numbers.

Answers

By their increase and decrease

the cost of a $12.95 pizza was shared evenly by 5 friends. How much did each person buy?

ANSWER NOW PLSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Divide 5 by 12.95. Each friend paid $2.59 each. 

Hope this helps!
The answer is $2.59 because $12.95 ÷ 5 = $2.59

6. What property is being shown? 5 3 ∙ 1 = 5 3

Answers

The Identity Property of Multiplication.

This states that anything you multiply by 1 will always be that number.
The identity property of multiplication

What is the measure of angle x?

m∠x = __ °

Answers

angles in triangle=180
180-102-31=47
x=47
x=47 you add 32 and 102 then subtract by 180

A student wants to find the density of an egg as part of an experiment. If the weight of the egg is 57 g, and its volume is 48.25 mL, which measurement could be the most precise value of the density of the egg, in g/mL?

Answers

Remember that
[tex]density=\frac{mass}{volume}[/tex]

We have a mass of 57g and a volume of 48.25mL, so then:
[tex]density=\frac{57g}{48.25mL}[/tex]

The most precise value of the density of the egg will be 1.18 g / mL.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Weight of the egg = 57 g

Volume = 48.25 mL

Now,

Since, Weight of the egg = 57 g

Volume = 48.25 mL

We know that;

⇒ Density = Mass / Volume

Substitute all the values, we get;

⇒ Density = 57 g / 48.25 mL

                = 1.18 g / mL

Thus, The density of the egg = 1.18 g/mL

Learn more about the divide visit:

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A high school had 740 students at the start of the year, but then some students left the school. After that, the school had 726 students. If s = the number of students who left the school, which mathematical sentence expresses the information above? A. 740 - s = 726 B. s - 740 > 726 C. s - 740 = 726 D. 740 - s > 726

Answers

Answer:

A. 740 - s = 726

Step-by-step explanation:

The equation states: the original number of students, subtracting the number of students that left, represents the number of students now.

Correct option is (A) 740 - s = 726

Given that a high school had 740 students at the start of the year.

However some students left the school. After that, the school had 726 students.

Let 's' be the  the number of students who left the school

Thus as 's' students left the school, there will be deduction of 's' students from the school

Now this deduction 's' would be from the 740 students which were present in the school and the resultant students after deduction is given to be '726'

Thus we can form the mathematical expression as follows,

[tex]740 - s = 726[/tex]

Thus '740 - s = 726' is the requires expression

Garth estimated the height of the door to his classroom in meters.what is a reasonable estimate

Answers

what are the choices?? somewhere around 2.5 or 3 meters is a good estimate if those are choices. 
Good luck!
I need a picture so I would answer

The length of a rectangle is five times its width. The perimeter of the rectangle is at most 96 cm. Which inequality models the relationship between the width and the perimeter of the rectangle?
2w+2⋅(5w)>96
2w+2⋅(5w)<96
2w+2⋅(5w)≤96
2w+2⋅(5w)≥96

Answers

Let

L--------> the length of the rectangle

W-------> the width of the rectangle

we know that

the perimeter of the rectangle is equal to

[tex]P=2L+2W[/tex]

[tex]P\leq 96\ cm[/tex]

so

[tex](2L+2W)\leq 96[/tex] ---------> equation [tex]1[/tex]

[tex]L=5W[/tex] ---------> equation [tex]2[/tex]

Substitute equation [tex]2[/tex] in equation [tex]1[/tex]

[tex]2*(5W)+2W\leq 96[/tex]

therefore

the answer is the option

2w+2⋅(5w)≤96


Answer:

2w+2⋅(5w)≤96

Step-by-step explanation:

(1.21 × 10^5) - 9500

Answers

111,500 Is the answer to your question. Edited

The high temperature on Saturday was 6 F. The low temperature was -3 F. What was the difference between the high and low temperatures for the day?


It's the last Q in pic

Answers

you can either subtract 6-(-3) or do a number line -3, -2, -1, 0, 1, 2, 3, 4, 5, 6
count up from -3, and you'll get 9, same as subtracting 6 from -3. answer is 9 degrees F

Number 39 I'm so stuck help plz

Answers

39 seems very easy. Just add 2 to the number of blocks in square 6. That'll give you Square 7 and so on.

can someone please explain what I did wrong and, how I can fix this problem. can I get the explanation as soon as possible please. ❤️

Answers

Greetings!

To solve this question, we can create an expression:
[tex]2(6)+16(0.5)-7(0.5)-2(1.5)[/tex]
Follow PEDMAS:
[tex]=12+16(0.5)-7(0.5)-2(1.5)[/tex]
[tex]=12+8-7(0.5)-2(1.5)[/tex]
[tex]=12+8-3.5-2(1.5)[/tex]
[tex]=12+8-3.5-3[/tex]
[tex]=20-3.5-3[/tex]
[tex]=16.5-3[/tex]
[tex]=13.5[/tex]

He obtained 13.5 points in the football games.

Hope this helps.
-Benjamin


Joaquin recorded a temperature of 62°F this morning for science class. The temperature increased 6 1/2°F in the afternoon before decreasing 8.7°F in the evening. What was the evening temperature?

Answers

Add 6.5 to 62 then subtract 8.7 to get 59.8

Answer: [tex]59.8^{\circ} F[/tex]

Step-by-step explanation:

Given : Joaquin recorded a temperature of 62°F this morning for science class.

The temperature increased [tex]6\dfrac{1}{2}^{\circ}F[/tex] in the afternoon before decreasing 8.7°F in the evening.

We can write [tex]6\dfrac{1}{2}[/tex] as [tex]6+\dfrac{1}{2}=6+0.5=6.5[/tex]  .

Now According to the question , the temperature at evening will be :-

[tex]62^{\circ}F+6\dfrac{1}{2}^{\circ}F-8.7^{\circ}F\\\\=62^{\circ}F+6.5^{\circ}F-8.7^{\circ}F\\\\=(62+6.5-8.7)^{\circ}\ F=59.8^{\circ}\ F[/tex]

Hence, the evening temperature was [tex]59.8^{\circ} F[/tex] .

Solve the inequality. -3/4x+1<10

Answers

Subtract 1 from both sides
-3/4x<9

Divide both sides by -3/4. Flip the inequality
x>-12

Final answer: x>-12

For your summer babysitting jobs you have 10 weeks to work before your family vacation and before you return to school in the fall. You are planning on earning and saving at least $1500 for your future car. Mrs. Harris is paying you $8.00 an hour to babysit during the day and Mrs. Sanchez is paying you $6.00 per hour to babysit her child in the evening.
• Let x = the number of hours you babysit for Mrs. Harris
• Let y = the number of hours you babysit for Mrs. Sanchez
1. Write an inequality describing the number of hours you want to work each week to reach your summer goal of at least $1500. Remember you have 10 weeks to work. How much do you want to average per week?

Answers

the answer is 8x+6y>=150. you just divide 1500 by 10 so you want to make at least 150 per week

The inequality that represents the given situation is (8x + 4y [tex]\geq[/tex] 1500) and this can be determined by using the given data.

Given :

You have 10 weeks to work before your family vacation and before you return to school in the fall. For your future car you are planning on earning and saving at least $1500.$8 per hour is paid by Mrs. Harris.$6 per hour is paid by Mrs. Sanchez.

The following steps can be used in order to determine the inequality that describes the number of hours you want to work each week to reach your summer goal of at least $1500:

Step 1 - Let the number of hours you babysit for Mrs. Harris be 'x' and the number of hours you babysit for Mrs. Sanchez be 'y'.

Step 2 - So, the inequality that represents the given situation is given below:

8x + 4y [tex]\geq[/tex] 1500

Now, the average per week can be determined by dividing 1500 by 10. So, you have to make $150 per week.

For more information, refer to the link given below:

https://brainly.com/question/19491153

To prepare for the upcoming competition season, an Olympic skier trains 5 days per week. The average number of miles the skier will ski in 1 day is 25.7. How many miles does the Olympic skier ski in 1 week?

Answers

It should be 128.5 miles.
The Olympic skier will ski 128.5 miles in a week.

In this instance, a week is 5 days, not seven.
25.7+25.7+25.7+25.7+25.7 or 25.7*5
128.5 miles

To make hummingbird nectar you must use 4 cups of water and 1 cup of sugar. What is the ratio of water to sugar?

Answers

The ratio of water to sugar would be 4:1 or 4 to 1.

Hope this helps!

Can u plz mark me as brainliest? I really need it!

Which values for x and y make the statement (x - 5)(y + 6) = 0 true?

A. x = -5, y = 6

B. x = 5, y = -6

C. x = -5, y = -6

D. x = 5, y = 6

Answers

The correct answer is B

its b sis.

:') your welcome

3x+1/5 y= 7 solve for x

Answers

x = -1/15y+7/3

I hope this helps! :>
3x + 1/5y = 7

To solve for a variable, you have to isolate the variable that you want to solve. In this case, we want to solve for "x," so we must isolate "x."

So, subtract 1/5y from both sides.

3x = -1/5y + 7

Then, divide both sides by 3.

3x ÷ 3 = (-1/5y + 7) ÷ 3

Simplify.

x = -1/15y + 7/3

~Hope I helped!~

what is the square root of 92 of the thenth place

Answers

The tenth root of 92 is 1.57173304000347

What’s the greatest common factor for 30,48,60

Answers

The greatest common factor for 30, 48, and 60 is 6
The Greatest Common Factor Would Be 6

Can you ever use a calculator to determine if a number is irrational or rational?

Answers

Yes.

All rational numbers are either terminating or repeating decimals. This means that they either end or the decimal repeats the same digit or digits infinitely. An irrational number will never end and will not have a pattern to its digits.

Hope this helps!

You and your friend buy 2 fruit smoothies and leave a tip. You split the total and your half comes to 3.60. What percent tip did you and your friend leave if the fruit smoothies each cost $3 each

Answers

The percent of the tip left is 20% from $3.60

Scientists find the same type of index fossil in two different locations on Earth. What can they conclude from this discovery?

Answers

They can conclude that the certain animal ( of the fossil) had either migrated to that place or was brought to that certain place this is also proof of of the Continental Drift Theory that there was a Pangaea and split apart around a certain time.

Answer:

The index fossils are the same geological age.

Step-by-step explanation:

This could happen due to the split of the Earth millions of years ago. The Continental drift theory states that the Earth's continents have moved over geologic time relative to each other. Then, animals who were together at some time were separated by the continents drift.

Whats 95 closer to 64 or 125

Answers

125-95=30
95-64=31
so it would be 125

To find out if 95 is closer to 64 or 125, we compare the absolute differences. 95 is 31 units away from 64 and 30 units away from 125. Therefore, 95 is closer to 125.

To determine whether 95 is closer to 64 or 125, we need to calculate the absolute differences between 95 and each of the two numbers:

Difference between 95 and 64: |95 - 64| = 31Difference between 95 and 125: |125 - 95| = 30

Since 30 is smaller than 31, 95 is closer to 125 by 1 unit.

Consider the following formula

ax - bx + y = z

which of the following represents the formula that could be used to find x?


A.) x= z-y/a-b

B.) x=a-b/z-y

C.) x= z-y/b-a

D.) x=y-z/b-a

Answers

Answer:

The right answer is C I took the assessment

The solution is:

x = (z - y)/(a - b), represents the formula that could be used to find x, from the expression ax - bx + y = z.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

the expression is:

ax - bx + y = z

now, we have to : Solve for x

Subtract y on both sides:                    

ax - bx = z - y

Factor GCF:                                        

x(a - b) = z - y

Isolate x:                                              

x = (z - y)/(a - b)

Hence, The solution is:

x = (z - y)/(a - b), represents the formula that could be used to find x, from the expression ax - bx + y = z.

To learn more on simplification click:

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Please help! I don't know how to do this.

Answers

the solution is j.

3x-4y=6

-4y=-3x+6

y=(3/4)x-3/2

The sales tax rates from 4 different countries are shown in the table. Convert each sales tax rate to a decimal. Then sort the countries from least to greatest tax rates.

Hamilton: 9/160
Oakland: 5.75%
Green: 5 7/8%
Campbell: 11/200

Answers

hamilton : 9/160 = 0.05625
oakland : 5.75% = 0.0575
green : 5 7/8% = 5.875% = 0.05875
campbell : 11/200 = 0.055

least to greatest : campbell , hamilton, oakland, green
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