A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag? Explain your reasoning.

Answer:

8/6 or 1 1/3

Step-by-step explanation:

Step 1:

4 ( 3q - 2 ) = 4q + 2q      Equation

Step 2:

12q - 8 = 4q + 2q      Multiply

Step 3:

12q - 8 = 6q      Combine Like Terms

Step 4:

12q = 6q + 8       Add 8 on both sides

Step 5:

6q = 8      Subtract 6q on both sides

Step 6:

q = 8 ÷ 6     Divide

Answer:

q = 8/6 or 1 1/3

Hope This Helps :)

Answer:

Hi there! The answer is q=4/3.

Step-by-step explanation:

First—Distrubute the 4 on each side of 3q-2. You should get 12q-8 on the left side of the equation.

Second— Combine like terms. You should see the 4q+2q obviously. Since they have the same letters, they should be combined Into 6q.

as a result you should have 12q-8 on the left side and 6q on the right side.

Switch 6q’s place with -8. But make sure you change the signs of negative and positives as you switch.

Now you should have 12q-6q=8.

Combine like terms again which will be 12q-6q Which will become 6q.

Now you should have 6q=8. divide 6 to both sides of the equation.

Since 6/6 = 1, there should be no coefficients stuck on the q.

when 8 is divided by 6, you should get 8/6.

WAIT YOU ARE NOT FINISHED YET!! YOU HAVE ONE MORE STEP AND YOU WILL HAVE ANSWER.

simplify 8/6 top and bottom divided by 2 each, then you should have 4/3.

Comment if you are confused!! :)

Answer:

5 adults went on the trip.

Step-by-step explanation:

There are 14 children ($75 each) and the total was $1475. We need to find out how many adults were there ($85 each)

c is for children and a is for adults

equation:  $75c+ $85a = $1475

$75(14)+ $85a= $1475

$1050 + $85a = $1475

-1050                   -1050

$85a = $425

85a/85 = 425/85

a = 5

5 adults went on the trip. Hope this helps! :)

There were 5 adults that went on the trip.

Unitary method is finding the value for a single unit.

According to the given question During spring break, a class of 14 children went to Walt Disney World in Florida the price for each child’s ticket was 75 dollars.

So, Cost of tickets of 14 children is

= (14 × 75) dollars.

= 1050 dollars.

Total amount spent on tickets for children and adults is 1475 dollars.

∴ Total amount spent for tickets for the adults is

= ( 1475 - 1050 ) dollars.

= 425 dollars.

Given price of one ticket for adult is 85 dollars, So for 425 dollars the no. of tickets will be

= 425/85 dollars.

= 5 tickets which states there were 5 adults.

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Answer:

x = [tex]\frac{ab}{b+a}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex] = [tex]\frac{1}{x}[/tex] ( express the sum on the left as a single fraction )

[tex]\frac{b+a}{ab}[/tex] = [tex]\frac{1}{x}[/tex] ( cross- multiply )

x(b + a) = ab ← divide both sides by (b + a)

x = [tex]\frac{ab}{b+a}[/tex]

Answer:

8

Step-by-step explanation:

The number of months that having average high temperature above freezing (32 F) is approximately for 3 months.

A function is defined as a relation between a set of inputs having one output each. It is a set of permissible outputs with the property that each input is related to exactly one output.

For the given situation,

The function is [tex]t=21.55 cos(\frac{\pi }{6}(m-7) )+43.75[/tex]

The temperature for months are calculated using the function t.

Here m = 1 refers January,

m = 2 refers February and so on.

Now substitute m = 1 for January,

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1-7) )+43.75[/tex]

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-6) )+43.75[/tex]

⇒ [tex]t=22.2[/tex]

For February m = 2,

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2-7) )+43.75[/tex]

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-5) )+43.75[/tex]

⇒ [tex]t=25.08[/tex]

For march m = 3,

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3-7) )+43.75[/tex]

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-4) )+43.75[/tex]

⇒ [tex]t=32.9[/tex]

For April m = 4,

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4-7) )+43.75[/tex]

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-3) )+43.75[/tex]

⇒ [tex]t=43.75[/tex]

For May m = 5,

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5-7) )+43.75[/tex]

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-2) )+43.75[/tex]

⇒ [tex]t=54.525[/tex]

For June m = 6,

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(6-7) )+43.75[/tex]

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-1) )+43.75[/tex]

⇒ [tex]t=62.41[/tex]

For July m = 7,

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(7-7) )+43.75[/tex]

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(0) )+43.75[/tex]

⇒ [tex]t=65.3[/tex]

For August m = 8,

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(8-7) )+43.75[/tex]

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1) )+43.75[/tex]

⇒ [tex]t=62.41[/tex]

For September m = 9,

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(9-7) )+43.75[/tex]

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2) )+43.75[/tex]

⇒ [tex]t=54.525[/tex]

For October m = 10,

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(10-7) )+43.75[/tex]

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3) )+43.75[/tex]

⇒ [tex]t=43.75[/tex]

For November m = 11,

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(11-7) )+43.75[/tex]

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4) )+43.75[/tex]

⇒ [tex]t=32.975[/tex]

For December m = 12,

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(12-7) )+43.75[/tex]

⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5) )+43.75[/tex]

⇒ [tex]t=25.087[/tex]

Thus from the above temperatures of each month, the temperature for three months are less than 32°F.

Hence we can conclude that the number of months that having average high temperature above freezing (32 F) is approximately for 3 months.

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Answer:

p=2/1

Step-by-step explanation:

Hope this helps ;)

Answer:

$1.25

Step-by-step explanation:

Answer:

$1.25

Step-by-step explanation:

If 8 bags are $10, 1 bag will be 10/8.

10/8=1.25

1 bag of pretzels costs $1.25.

Hope this helps!! Have a great day C:

Answer:

The answer would be 17.

Step-by-step explanation:

Answer:

both will give you the same amount of money, $100,000, so I would consider the fact that I'd rather only have 200 people give me money then 500. So I would say 200 people giving me $500 would be the best option

Answer:

79.79

Step-by-step explanation:

Answer:

y=-6x+4

Step-by-step explanation:

Answer:

12008.875

Step-by-step explanation:

Answer with step-by-step explanation:

If the comparison is 5 cm:6 m, then the numbers would be 5:600. If so, we have to multiply each of the dimensions by 5/600.

7.5 cm = 1/16 m

9 cm = 3/40 m

6 cm = 1/20 m

3.5 cm = 7/240 m

Hope this helped!

Answer:

read your username :)

Step-by-step explanation:

Answer:

its 7

Step-by-step explanation:

Answer:

6,400

Step-by-step explanation:

The calculation is shown below:-

But before that find the total number of pound in five local bonds

= 400 × 5

= 2,000

Now the amount at six week later is

= Food pounds + 3 × number of pounds + 3 × suplus shipment

= 10,000 + 3 × 2,000 - 3 × 3,200

= 10,000 + 6,000 - 9,600

= 6,400

Therefore according to the given situation the correct answer is 6,400

Answer:

[tex]\frac{14}{16}[/tex] simplified to [tex]\frac{7}{8\\}[/tex]

Step-by-step explanation:

[tex]\frac{7}{16} times \frac{2}{1} you get \frac{14}{16} \\this \\simplifies \\to \frac{7}{8}[/tex]

Answer:

6 is the greatest common factor

Step-by-step explanation:

6 goes into 6 once evenly

6 goes into 12 twice evenly

6(x + 2)

Answer:

Zero Solutions

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+13=3(x+6)+1

3x+13=(3)(x)+(3)(6)+1(Distribute)

3x+13=3x+18+1

3x+13=(3x)+(18+1)(Combine Like Terms)

3x+13=3x+19

3x+13=3x+19

Step 2: Subtract 3x from both sides.

3x+13−3x=3x+19−3x

13=19

Step 3: Subtract 13 from both sides.

13−13=19−13

0=6

Answer:

There are no solutions.

Answer:

The decimal point.

Explanation:

in 484.5 the 5 is behind the decimal point. Meaning that it isn't quite a full number.

In 635.82 the 5 is in front of the decimal point. Meaning that this is a whole number.

In digit 484.5, 5 represents the 5 tenth and in digit 635.82, 5 presents 5 ones.

Place value is the estimation of a digit's value based on where it appears in a number

For instance, in digit 27, there are, 2 tens, and 7 ones.

The given digits are 484.5 and 635.82,

In the digit  484.5 the place value of 5 is 0.5 or 5 tenth,

In the digit 635.82 the place value of 5 is 5 or 5 ones.

Therefore, in digit 484.5, 5 represents the 5 tenth and in digit 635.82, 5 presents 5 ones.

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Answer:

-2°F

Step-by-step explanation:

12-16=-2

Answer:0.38 0.09 0.7 -0.6 -0.41

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It just is

Answer:

Answer One: 3 miles. Answer Two:  105.

Step-by-step explanation:

Answer One: Due to it being 7/10s we have to get 2/5 to a tenth. We multiply 2 and 5 by 2 to get 4/10s subtract 7/10s to 4/10s getting 3/10s which is equal to 45 minutes. So that means 4/10s is equal to an hour. The change in height is 3/10s. Answer Two: It begins it's flight at 7/10s above ground so after 45 minutes it's now at 4/10s due to 45 minutes equaling 3/10s, you need another hour to reach the ground so add 45 minutes to 60 minutes to get 105.

Answer:

21

Step-by-step explanation:it's 22222222211111211111112211

Answer:

5 tables

Step-by-step explanation:

if four adults and three children are seated at each table, there can be a total of 5 tables.

Answer: D

Step-by-step explanation:

Answer:

the ratio is 2:11

Step-by-step explanation:

I already wrote this in a comment, but I'm writing it here because the other person's answer was deleted.

when all the measurements of the ingredients are added together, that makes 11.

according to the recipe, there's 2 cups of mixed nuts.

so the ratio is 2 cups of mixed nuts to 11 cups of granola.

Answer:

as written there, they are not inverses

proof by counter example:  since g(1) = 3  , but g^-1(3) = -5/3 != 1

Step-by-step explanation:

g(g^-1(x))  == x    if they are indeed inverses

1/(1/x -2)  + 2  =   x/(1-2x) + 2  != x    so, they are not inverses