the sum of three numbers is 109. the Second number is 3 more than the first number, and the third number is 4 more than the second number. what are the numbers?

the difference of 1640-952 is 688

1. What is the value of a?

-2(a - 8) + 6a = 36

Remember to follow PEMDAS. First, distribute -2 to all terms within the parenthesis

-2(a - 8) = -2a + 16

-2a + 16 + 6a = 36

Simplify. Combine like terms

6a - 2a = 4a

4a + 16 = 36

Isolate the a. Do the opposite of PEMDAS. First, note the equal sign. What you do to one side, you do to the other.

Subtract 16 from both sides

4a + 16 (-16) = 36 (-16)

4a = 36 - 16

4a = 20

Divide 4 from both sides

4a/4 = 20/4

a = 20/4

a = 5

5 is your answer for a

-------------------------------------------------------------------------------------------------------------------

2. What is the value of n in (3n + 6)/3 = 15

Remember to do the opposite of PEMDAS. Note the equal sign. First, multiply 3 to both sides

(3n + 6)/3(3) = 15(3)

3n + 6 = 45

Next, subtract 6 from both sides

3n + 6 (-6) = 45 (-6)

3n = 45 - 6

3n = 39

Finally, isolate the n. Divide 3 from both sides

3n/3 = 39/3

n = 39/3

n = 13

13 is your answer for n

-------------------------------------------------------------------------------------------------------------------

hope this helps

I have written the solution in  images attached.

The first blank should contain the number 50. The second blank should contain the number 300 which represents hundreds. Lastly, the third blank should contain the number 30,000 when converted back from hundreds.

The original equation given is: 6 x 500. We can re-write this first in terms of hundreds as: 6 x (5,000/100) which means 6 times 50 hundreds. Hence, the first blank is 50.

Subsequently, you would find the product of 6 x 50 hundreds = 300 hundreds. Therefore, the value for the second blank is 300.

Finally, you would turn 300 hundreds back into a standard number by multiplying 300 by 100, which equals 30,000. So, the third blank would be 30,000.

https://brainly.com/question/35502092

#SPJ2

Combine like terms. Note that both terms given have the same amount of variables, (n)

Combine: 2n + n = 3n

3n is your answer

hope this helps

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Answer:

[tex]44\ gallons[/tex]

Step-by-step explanation:

we know that

A fish tank holds [tex]80[/tex] gallons of water

so

By proportion

Find how many gallons represent [tex]55\%[/tex] of the total tank capacity.

[tex]\frac{80}{100}\frac{gallons}{\%} = \frac{x}{55}\frac{gallons}{\%}\\ \\x=55*80/100\\x= 44\ gallons[/tex]

There are 44 gallons of water in the tank. This is calculated by converting the percentage full into a decimal (0.55) and multiplying it by the total capacity of the tank (80 gallons).

The question is asking how many gallons are currently in the fish tank that is 55% full and has a total capacity of 80 gallons.

First, you need to convert the percentage of the tank that is full (55%) to a decimal. To do this, you divide the percentage by 100.

So, 55 divided by 100 equals 0.55.

Next, you multiply this decimal by the total capacity of the tank to find out how many gallons are currently in the tank. 0.55 times 80 equals 44. Therefore, there are 44 gallons of water in the fish tank now.

https://brainly.com/question/32197511

#SPJ11

By isolating 'G' in the given equation, 'M = 4G - z', we find that 'G' is equal to '(M + z) / 4', which matches with choice A in the question.

The given equation is M = 4G - z. To solve this equation for G, we should first move 'z' over to the other side of the equation, which will give us M + z = 4G. In the next step, we divide each side of the equation by 4 to isolate 'G'. Our answer is then G = (M + z) / 4. This is equivalent to the choice A. G = M+z/4 given in the original question.

https://brainly.com/question/17595716

#SPJ3

Solve for m.

Add 7 to both sides to get 3m=15

Then divide by sides by 3 to get m=5.

The final answer is m=5.

1meter=3.28 feet. So multiply 100 times 3.28 and that’s your answer

The answer is 8.

In order to accommodate (or provide space for) all students, with the maximum students per class being 15, there needs to be at least enough for 112. A way to figure this out is 112 / 15 (the total amount of people signed up divided by the amount per class). The quotient is 7.466..., which does not work since you cannot have a 0.466... of a human in a class. This means you must round to the nearest whole number. If there were more students it could accommodate 8 more being that 15 * 8 is 120, but in this case there are only 112.

Hope I helped! Please give Brianliest if I did!

Answer:

2

Step-by-step explanation:

For this one, the best way to do it is write out you formulas, then solve for the first one and see if it works for the second one.

I am going to use h for hamburgers and d for drinks to make it easier.

2h+5d=8

2h+3d=6

So what I did was make the drinks 1, this way you can see if you need to raise it or if the hamburgers could come out even.  When you do that here is what it looks like:

2h+5(1)=8

2h+5=8

2h=3

h=1.50

So here is what you have as of now

h= 1.50 and d= 1

now plug that into the next problem

2h+3d=6

2(1.50)+3(1)=6

3+3=6

So that is your answer

Hamburgers are $1.50

and Drinks are $1

Hope this helps!

Hamburgers cost 1.50 each and its 1.00 for each drink

Answer:

120:240, 1:2

1:2, 70:140

Answer: x=140

Step-by-step explanation:

Answer:

A: Spent = 12c + 7b  + 24

B: 93 dollars

Step-by-step explanation:

Cost = 12*c + 7*b + 24

If c = 4 and b = 3 then the total cost is

Cost = 12*4 + 7*3 + 24                            Substitute and combine factors

Cost = 48 + 21 + 24                                 Combine Terms

Cost = 93 dollars                                     Answer

Maggie's total spending is represented by the expression 12c + 7b + 24. When purchasing 4 CDs and 3 books, plus a purse, she spent $93.

The total amount of money Maggie spent can be represented by the expression: c CDs at $12 each + b books at $7 each + 1 purse at $24.

So, the expression is 12c + 7b + 24.

Given that Maggie bought 4 CDs and 3 books, the total amount spent is calculated as follows:

Adding these amounts together gives us: $48 + $21 + $24 = $93.

Therefore, Maggie spent a total of $93 for 4 CDs, 3 books, and a purse.

Answer:

Consider

Amount of Rice (cups) : Amount of Water(cups)

1.2/5

2. 3/7.5=2/5

3. 5/12.5=2/5

4. 8/20=2/5

As in all cases Amount of Rice and Amount of water in cups are same.

i.e⇒ Amount of rice × K = Amount of water, where K is constant of proportionality.

So, Among all the statements

⇒ The amount of rice is the dependent value. The amount of water is the dependent value are correct.

Which means if either of them (Amount in cups) is given we can find other.

the answer is 504 because 609/58 is 10.5 and then multiply 48 times 10.5 and you get 504

Answer:

There are 504 right handed students in west junior high school.

Step-by-step explanation:

Number of left handed students in east middle school = 58

Number of right handed students in east middle school = 609

Number of left handed students at west junior high = 48

Let the number of right handed students are west junior high be = x

As given, there a a proportional relation between the two, we can denote this as:

[tex]\frac{58}{609}= \frac{48}{x}[/tex]

Now solving for x;

[tex]58x=609*48[/tex]

[tex]58x=29232[/tex]

x = 504

Therefore, there are 504 right handed students in west junior high school.

y = x + 5

check

for x = 5 → y = 5 + 5 = 10 CORRECT

for x = 10 → y = 10 + 5 =15 CORRECT

for x = 15 → y = 15 + 5 = 20 CORRECT

for x = 20 → y = 20 + 5 = 25 CORRECT

We need to find the lowest common multiple of 8 and 12.

Reminder that the LCM is the lowest number that divides evenly with both of the given numbers.

We can make a chart and see that:

Multiples of 8: 8, 16, 24, 32

Multiples of 12: 12, 24...wait! We have a match with 24!

Therefore, there will be 24 more games until both events will occur.

It is a reciprocal. Multiplying is the opposite of Dividing, so if I multiply 3 times 4 I get 12. If i divide 12 by 3 I get 4.

Answer: 59.5 minutes.

Step-by-step explanation:

1. You have the following information given in the problem above:

- 8 songs are 4.25 minutes long.

- 3 songs are twice as long as each of the others.

2. Therefore, the total time of 8 songs is:

[tex](8)(4.25min)=34min[/tex]

3. And the total time of the 3 songs is:

[tex](2)(3)(4.25min)=25.5min[/tex]

4. Therefore, you have that the result is:

[tex]34min+25.5min=59.5min[/tex]

The concert is 59.5 minutes long.

Let's break down the problem step-by-step:

8 songs x 4.25 minutes = 34 minutes

2 x 4.25 minutes = 8.5 minutes per song

3 songs x 8.5 minutes = 25.5 minutes

34 minutes + 25.5 minutes = 59.5 minutes

So, the total duration of the concert is 59.5 minutes.

Answer:

-13F is less than -12F, and -9F is greater than -12F

Step-by-step explanation:

You can prove this because in the problem is states that -13F < -12F < -9F

If you utilize this, you find that the first statement is quite obvious:

-13F is less than -12F

The second statement is a little trickier. Since in the original inequality is states that -12F < -9F, but you want to know the relationship between the switch, you would just flip the sign in the middle, getting you:

-9F is greater than -12F

You could also prove this simply with the rules of negative values (which work inversely from positives).

1. The answer is 0.425

2. the answer is 0.425

3. the answer is 0.2125

The sum of two numbers is 76. Their difference is 36. Find the numbers

X+y= 76

X-y=36

Add x+x , y cancels out, add76+36

2x= 112

Divide 2 both sides

X= 61

Now substitute your x answer into first original equation

X+y =76

61+y =76

Subtract 61 both sides to get y .

Y= 76-61

Y= 15

Your two numbers are 61 and 15

Answer:

The correct statements are :

1. The value of mx will change.

2. The value of m will change.

3. The value of mx+b will decrease.

Step-by-step explanation:

The question is as shown in the attached figure.

Todd needs x ounces of almonds, which are priced at m dollars per ounce in the baking section. So, price of x ounces becomes = mx

The total cost of the other ingredients is b dollars.

Hence, total cost is given as = mx+b

Now, Todd later finds almonds in the bulk section that are half the price of those in the baking section.

So, now price = m/2

And total price for 'x' ounce = (mx/2 + b) dollars.

So, if Todd purchases the almonds in the bulk section, the total cost  will decrease.

The correct statements are :

1. The value of mx will change.

2. The value of m will change.

3. The value of mx+b will decrease.

The domain is the input values ( x values).

These would be the numbers that the arrows are pointing away from.

The domain is (-2, 0 , 1, 3 , 5)

Answer:

Sum of 367 and 863 is equal to the sum of 863 and 367. Thus, 367 is the required number.

Step-by-step explanation:

Commutative property of Addition

Let a and b be two real numbers. Then commutative property of addition states that the sum of a and b is equal to the sum of b and a that is

[tex]a + b = b + a[/tex]

Similarly, we a re given here,

[tex]367 + 863 = 1230\\1230 = 863 + 367[/tex]

Thus, sum of 367 and 863 is equal to the sum of 863 and 367.

Thus, 367 is the required number.

she will have to pay $61875 of interest at the end of the 15 years.

in total  she would have to pay $211875