Tom performed a total of 100 hours of community service. He served at three charities- Salvation Army, Red Cross and Rescue Missiom. The number of hours he served at the Red Cross was 19 hours more than at the Salvation Army. The number of hours he served at the Rescue Mission was 8 hours more than what he served at the Red Cross

Answers

Answer 1

Let x, y, z be the number of hours that Tom spent in service in Salvation Army, Red Cross, and Rescue Mission, respectively. From the statement above, the sum of the numbers should be 100.
x + y + z = 100

The equations that can be derived from the given and the assigned variables,
y = x + 19
z = y + 8

Expressing the times in terms of variable x,
y = x + 19
z = (x + 19) + 8 = x + 27

Solving for the value of x,
x + (x + 19) + (x + 27) = 100

The value of x from the equation is 18.

y = 18 + 19 = 37
z = 18 + 27 = 45

The number of hours he spent in three charities are 18, 37, and 45, respectively.

Answer 2

Tom volunteered 18 hours at the Salvation Army, 37 hours at the Red Cross, and 45 hours at the Rescue Mission.

Let S represent the number of hours Tom served at the Salvation Army.

The number of hours at the Red Cross is 19 hours more than at the Salvation Army,
R = S + 19.The number of hours at the Rescue Mission is 8 hours more than what he served at the Red Cross,
M = R + 8.

Since the total number of hours Tom served is 100, we have,

S + R + M = 100

Substitute R and M with the expressions in terms of S:

S + (S + 19) + (S + 19 + 8) = 100

S + S + 19 + S + 27 = 100
3S + 46 = 100
3S = 54
S = 18

So, Tom served 18 hours at the Salvation Army. Now, we find the hours for the other two charities,

R = S + 19
= 18 + 19
= 37 hours at the Red Cross.M = R + 8
= 37 + 8
= 45 hours at the Rescue Mission.

In summary, Tom volunteered 18 hours at the Salvation Army, 37 hours at the Red Cross, and 45 hours at the Rescue Mission.

Complete question-
Tom performed a total of 100 hours of community service. He served at three charities – Salvation Army, Red Cross and Rescue Mission. The number of hours he served at the Red Cross was 19 hours more than at the Salvation Army. The number of hours he served at the Rescue Mission was 8 hours more than what he served at the Red Cross. Find the number of hours he volunteered at each charity.

Related Questions

): How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your work. Need help bad:(

Answers

Approximately 25. Of the 5 grades of sand used in the United states, medium sand has particles ranging from 0.25 mm to 0.5 mm. For convenience, I'll use 0.5mm as the diameter of a grain of sand. Human cells range from a volume of 30 cubic micrometers (human sperm cell) up to 4 million micrometers (human egg cell). For the average human cell, I'll use an osteoblast with a volume of 4000 cubic micrometers or a diameter of 2x10^-5 meters. Now just take the diameter of a grain of sand and divide by the diameter of a human cell. 5 x 10^-4 / 2x10^-5 = 5/2 x 10^(-4 - -5) = 2.5x10^1 = 25 So the diameter of a grain of sand at 0.5 mm is approximately 25 times larger than that of a human cell at 0.02mm

3.6 divided by 24 equals what?

Answers

the answer to your question is .15

The value of the expression is 3/20.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3.6 ÷ 24

= 3.6/24

= 36/240

= 9/60

= 3/20

Thus,

The value of the expression is 3/20.

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Find two numbers whose LCM is 90

Answers

To find the LCM for 90 since it has a zero, the first LCM is going to be 10. And 10 multiplied by 9 is 90. You can also divide the 90 by 5 and get 18.

One way working this out is to find all the numbers that go into 90 by listing all the pairs of numbers that multiply to give 90

1 × 90
2 × 45
3 × 30
6 × 15
9 × 10

From here we can do trial and error:

Let's choose any two factors, say 2 and 3
By listing their multiples, we will find their LCM is 6, not 90

Then choose any two factors, say 3 and 6
By listing their multiples, we will find their LCM is 6, not 90

We can try some bigger number, say 45 and 90
by listing their multiples, we will find their LCM 90

Answer: 45 and 90

How many ways are there to put 4 balls in 3 boxes if the balls are distinguishable and the boxes are distinguishable?

Answers

13 would be the correct answer

13 is the answer. hope it helped my guy

What is 43.78 in word form

Answers

forty three. seven eight

Forty-three. Seventy-eight will be the correct answer. Have A Great Day

south high school has 85 students more than North High School. The total number for both schools is 1495. How many students are at South High School?

Answers

790 students I subtracted 1495-85 then divided that by two then added the 85 to 705 to get 790

The total weight of 6 pieces of butter and a bag of sugar is 3.8 lbs. if the weight of the bag of sugar is 1.4lbs, what is the weight of each piece of butter?

Answers

If you subtract 1.4 from 3.8 and then divide by six you get 0.4 lbs/ piece of butter

3.8-1.4=2.4 2.4 divided by 6=0.4

Write each product using an exponent. 10x10=

Answers

Answer: 100

Step-by-step explanation:10x10=100

PLEASE HELP ME FAST!!!!!!!
who do i write the number 0.23333333333... repeating as a fraction?

Answers

it is 23/100 just say it and then write it

23/33333 it think I could be wrong

calculate the distance between (0,3) and (3,10) to 1 decimal place

Answers

Alright, so the distance formula is sqrt((x1-x2)^2+(y1-y2)^2), and plugging that in, we get sqrt((0-3)^2+(3-10)^2)=sqrt((-3)^2+(-7)^2)=sqrt(9+49)=sqrt(58)=around 7.6

What is 372 divided by 2

Answers

372 / 2 = 186 <=======

the answer to your question is 186

What is the solution to the inequality 2(x + 3) ≥ –10 – 4x? solve step by step, please.

Answers

2(x + 3) > = -10 - 4x...distribute thru the parenthesis
2x + 6 > = -10 - 4x ....add 4x to both sides
2x + 4x + 6 > = -10 - 4x + 4x...simplify
6x + 6 > = -10 ...subtract 6 from both sides
6x + 6 - 6 > = -10 - 6...simplify
6x > = -16...divide both sides by 6
(6/6)x = -16/6
x = - 8/3 <==

What is -1.1 repeating as a fraction

Answers

[tex]Hey \\ There! [/tex]

[tex] \frac{-1.1}{1} ( \frac{10}{10} )\\ \\ -1.1(10) = -11 \\ \\ 1(10)= 10 \\ \\ \\ Fraction: \frac{-11}{10} [/tex] this is also [tex]equal [/tex] to: [tex] -1\frac{1}{10} [/tex]

Your answer would probably be: [tex] \frac{-11}{10} = -1\frac{1}{10} [/tex]

Good luck on your assignment and enjoy your day!

~[tex]MeIsKaitlyn:)[/tex]

Assume that in a batch of 34 defective items there are 22 with major defects and 23 with minor defects.
How many items in this batch have both major and minor defects?

Answers

there would be only one with both

Can someone plz help me.
Solving Equations

Answers

For number 3 you'll add 5 to both sides and end up with the solution of a = -7
For number 4 you'll do the distribution property and get -4x-8=-40 then you'll add 8 to both sides and then divide by -4 on both sides and end up with the solution of x= 8

You start by trying to get the variable on one side. (Note:whatever you do to one side, you have to do to the other as well).
3. Add 5 on both sides, which will give you a= -7 (don't forget the negative sign)
For question 4 it's a bit different (Note: when you see a number next to a set of parentheses, that means you have to multiply the number by the parentheses AKA Distributive Property)
4. After distributing the -4, you'll get -4x-8=-40...but you're not done quite yet.
Now we have to get rid of the -8, so add 8 to each side, which will give us -4x=-32
Next divide each side by -4(because the number next to x is -4), once you do that, it'll leave you with x= 8 as your final answer.

How do I turn 1/9 into a decimal?

Answers

To convert the fraction to a decimal by dividing the numerator by the denominator.

0.1111111111.... Will be your answer. Make sure you put a line over the 1's to signify the repetition.

Work: You can divide 1 by 9
0 .1
_____
9/ 1 0
9
_____
1
.11 repeating

The area, a, of a trapezoid is calculated using the formula A= 1\2(b+c)h, where h is the height of the trapezoid and b and c are the base of the trapezoid. Rearrange the formula to solve for h

Answers

The answer is: h= (2A)/(b+c)

Final answer:

To rearrange the formula for the area of a trapezoid to solve for the height, divide both sides of the equation by (b+c)/2. The rearranged formula is h = 2A/(b+c).

Explanation:

The formula for the area of a trapezoid is given by A= 1/2(b+c)h, where A is the area, h is the height, and b and c are the lengths of the two bases. To rearrange this formula to solve for h (the height), you need to isolate h on one side of the equation. The rearranged formula would look as follows: h = 2A/(b+c).

To obtain this, we divided both sides of the equation by (b+c)/2. This gives us a new formula to find the height of the trapezoid given the area and the lengths of the two bases.

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Create and solve equations, showing your work. You must create the equations and show the steps required to solve them.

Your portfolio must include a minimum of the following types of equations:

One one-step equation
One equation that contains fractions
One equation with decimals
One real-world problem that is solved by an equation

Answers

One step equation, where only one step is required to solve the problem. Example:
20 = 5x
4 = x

Fractions:
1/2 + x = 3/2
x = 3/2 - 1/2
x = 1

Decimals:
0.5 + x = 1.5
x = 1.5 - 0.5
x = 1

Real world problem: (word problem and equation)
It costs $5 per hour to rent a canoe plus a $3 rental fee. How much will the total be if you plan on renting the canoe for 3 hours?
y = 5x + 3
y = total cost ; x = number of hours rented
y = 5×3 + 3
y = 15 + 3
y = $18

One-step equation is 4y=64, equation contains fractions is 3x=24/5, equation with decimals is 9x+0.3=17.7 and equation for real world problem is y=1x+2.

What is the equation of variable?

The variable is the unknown part of the equation. Variable changes with change in the quantities for any situation.

One one-step equation

The one step-equation is written below.

[tex]4y=64[/tex]

Divide both side with 4,

[tex]y=16[/tex]

The equation is solved in one-step.

One equation that contains fractions.

The following equation is the equation which contains the fraction,

[tex]3x=\dfrac{24}{5}[/tex]

Divide both side with number 3,

[tex]x=\dfrac{24}{5\times3}\\x=\dfrac{8}{5}[/tex]

One equation with decimals-

The following equation is the equation which contains the decimals,

[tex]9x+0.3=17.7[/tex]

Subtract both side with decimal number 0.3,

[tex]9x+0.3=17.7\\9x=17.7-0.3\\9x=18[/tex]

Divide both side with number 9,

[tex]x=2[/tex]

One real-world problem that is solved by an equation

A taxi driver charge $1 for the a mile of a taxi ride and one time booking charge $2. The equation for this is given as,

[tex]y=1x+2[/tex]

Here in the variable (y) represent the total charge of taxi and variable (x) represent the number of rides the taxi travelled.

Thus, the one-step equation is 4y=64, equation contains fractions is 3x=24/5, equation with decimals is 9x+0.3=17.7 and equation for real world problem is y=1x+2.

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Solve for x.
0.6x-5=0.1x+7

Answers

0.6x - 5 = 0.1x + 7

0.6x - 0.1x = 5 + 7

0.5x = 12

0.5x/0.5 = 12/0.5

x = 24

hope this helps

The solution to the equation 0.6x - 5 = 0.1x + 7 is x = 24.

To solve the equation 0.6x - 5 = 0.1x + 7 for x, we need to isolate the variable x on one side of the equation. Here's the step-by-step explanation:

Step 1: Simplify the equation

Combine like terms on both sides of the equation.

0.6x - 0.1x - 5 = 0.1x - 0.1x + 7

0.5x - 5 = 7

Step 2: Move the constant term to the other side

To isolate the variable x, we want to get rid of the constant term on the same side as x.

0.5x - 5 + 5 = 7 + 5

0.5x = 12

Step 3: Solve for x

Now, we'll solve for x by dividing both sides of the equation by the coefficient of x, which is 0.5.

(0.5x)/0.5 = 12/0.5

x = 24

So the solution to the equation 0.6x - 5 = 0.1x + 7 is x = 24.

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The lengths of a rectangle are 2x and x – 3. A triangle has lengths x, x – 2 and x + 4. The rectangle and triangle have the same perimeter.

Answers

Let P = the combined perimeter for the rectangle and square.

P = rectangle + triangle

P = 2(2x) + 2(x - 3) + x + x - 2 + x + 4

P = 4x + 2x - 6 + 3x - 2 + 4

P = 9x - 8 + 4

P = 9x - 4

Why do you suppose the United States still uses the English System for everyday measurements, while almost every other country uses Sl? Give several possible reasons

Answers

1) No incentive to change.
2)
there are two other non-metric countries
3)
The US is only 1 of 3 countries in the world which aren't metric.
4)
massive undertaking than most people realize.

132.4 devided to te nearest tenth

Answers

Are you trying to find the nearest tenth to 132.4?

Angela ordered 2 glass paperweights. The volume of each paperweight is 5 cubic inches, and the density of the glass is 1.5 ounces per cubic inch. Angela can use the calculation below to find the total weight of her order.

2×(5×1.5)

How can Angela simplify the calculation using only the associative property of multiplication?

Answers

The associative property states that you can multiply numbers no matter how they're grouped, meaning that we can erase the parenthesis and make it 2*5*1.5. That way, it's easier to figure out 2*5*1.5 than 5*1.5 first then that multiplied by 2.

Answer:

(2 times 5) then times 1.5

Step-by-step explanation:

i took K12 test

2(r-3)/4=50 Please help i am very confused

Answers

[tex] \frac{2(r-3)}{4} - 8 = 50[/tex]

Add 8 to both sides.

[tex]\frac{2(r-3)}{4} = 50 + 8

Simplify.

[tex] \frac{2(r-3)}{4} = 58[/tex]

Then, multiply both sides by 4.

[tex]4 * \frac{2(r-3)}{4} = 58 * 4[/tex]

Simplify.

2(r - 3) = 232

Simplify.

2r - 6 = 232

Add 6 to both sides.

2r = 232 + 6

Simplify.

2r = 238

Divide both sides by 2.

r = 119

~Hope I helped!~

The record high January temperature in Austin,Texas is 90F the record low January temperature is -2 F find the differences between the high and low temperature

Answers

The difference is subtraction, so we do 90-(-2)=90+2=92. If you subtract a negative number, you simply add that number

90-4=96
the difference s 96 degrees

Which input value produces the same output value for the two functions on the graph?
a)-1
b)0
c)3
d)4

Answers

According to the graph, at x = 4 the graphs of the two functions intersect, meaning that the two functions have the same output value (which is 3).

Answer:

Step-by-step explanation:

D) x=4

588 = 3n Please help I don't understand this!

Answers

Simplifying
588 = 3n

Solving
588 = 3n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-3n' to each side of the equation.
588 + -3n = 3n + -3n

Combine like terms: 3n + -3n = 0
588 + -3n = 0

Add '-588' to each side of the equation.
588 + -588 + -3n = 0 + -588

Combine like terms: 588 + -588 = 0
0 + -3n = 0 + -588
-3n = 0 + -588

Combine like terms: 0 + -588 = -588
-3n = -588

Divide each side by '-3'.
n = 196

Simplifying
n = 196

Hello!

First, let's write the problem,
[tex]588 = 3n[/tex]
Let's switch sides now, otherwise, we are going to end up doing it later.
[tex]3n=588[/tex]
Divide both sides by 3.
[tex]\frac{3n}{3}=\frac{588}{3}[/tex]
Simplify.
[tex]n=196[/tex]
That would be our final answer.

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

A. Sin40=6/x
B. Sin40= x/6
C. Cos40= x/6
D. Cos40=6/x

Answers

the answer is A. sin40=6/x

39 please and thanks just need answer

Answers

20,602 feet

just subtract 20,320 - (-282)

the negative turn positive and you add the numbers

20,320-282
This is your answer

how wide is a rectangular strip of land with length 6 mi and area 48 square mi? find the perimeter of the rectangular strip of land.

Answers

Final answer:

The width of the rectangular strip of land is 8 miles. The perimeter of the strip is 28 miles.

Explanation:

To find the width of a rectangular strip of land with a length of 6 miles and an area of 48 square miles, we use the formula for the area of a rectangle, which is Area = length × width. Since the area and the length are given, the width can be calculated as Area / length, which is 48 square miles/6 miles = 8 miles wide.

Now, to find the perimeter of the rectangular strip of land, we use the formula Perimeter = 2(length + width). Plugging in the given length of 6 miles and the calculated width of 8 miles, the perimeter equals 2(6 miles + 8 miles) = 2 × 14 miles = 28 miles.

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