The ratio of red marbles to green marbles, [tex]r:g=5:7[/tex]
The first sentence about what happens to the bag of marbles;
"When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3"
Leads to the fractional equation
[tex]\frac{r-1}{g+1}=\frac{2}{3}[/tex]
After rearranging, we get equation (1) [tex]3r-2g=5[/tex]
The next sentence about what happens to the bag of marbles;
"Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4"
Leads to the fractional equation
[tex]\frac{r-1+6}{g+1+4}=\frac{3}{4}\implies \frac{r+5}{g+5}=\frac{3}{4}[/tex]
Since the first change to the bag was done without replacement. After rearranging, we get equation (2) [tex]4r-3g=-5[/tex]
So we need to solve the simultaneous equations for [tex]r[/tex] and [tex]g[/tex]
[tex]3r-2g=5\\4r-3g=-5[/tex]
Which gives [tex]r=25[/tex] and [tex]g=35[/tex]
Therefore, the ratio, [tex]r:g=25:35=5:7[/tex]
Another example of ratio word problems can be found in the link below:
https://brainly.com/question/11343888
A network of roads connects locations T, O, W, N, and S. How many different routes are there to travel from T to W along the given roads (line segments) without retracing any part of the route or going to any town more than once per route?
Answer:
9 routes
Step-by-step explanation:
every time you make a route, you can make a symmetrical route on the other side.
Answer:
9
Step-by-step explanation:
Jin has 5 and 1/2 cups of jelly beans. How many 1/4 cup servings can he make?
Answer:
I think the answer to your question is
22
Answer:
12
Step-by-step explanation: 5.5/1.25
!! WILL GIVE BRAINLIEST AND 6 THANKS ON ALT ACCOUNT!!
The answer is 150. I just need to know the explanation to get the answer. If you give a good and understandable answer, I will give what was listed in title.
Please don't troll, I really need this.
On Fan Appreciation day, fans will be receiving free gifts. Every person Who passes through the turnstyle gets a team cap. Every second person through will get a pennant. Every sixth person gats a bat. Every 25th person gets an autographed baseball. Which person is the first one to get all the free gifts?
Please help!! Thank you!! :)
Answer:
the answer for this equation is -32
A listing of observed values and the corresponding frequency of occurrence of each value is called a
Answer: frequency
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
Step-by-step explanation:
let :
a= 8u+1
b=8u+1
c=5
perimeter=a+b+c
perimeter=8u+1+8u+1+5
perimeter=16u+7 units
Answer:
16u+7
Step-by-step explanation:
isosceles triangle has two sides equal. 2(one of the sides)+the base(5)
3(x+2)=5x-7
Work out value of x
Answer:
first distribute:
3x+6=5x-7
then combine the x's:
-2x+6=-7
get rid of the 6:
-2x=-13
divide the 2:
6.5
Step-by-step explanation:
Answer:
x = 13/2
Step-by-step explanation:
3(x+2) = 5x-7 3x+6 = 5x-73x-5x = -7-6-2x = -13x = -13/-2x = 13/2For every 1000 veiws a tv showgets it makes £2 from ad revenue.
How many veiws are required to make £21?
Answer:
10500 views.
Step-by-step explanation:
If 1000 views is £2 then 500 views would be £1 so 2 x 10 = 20 so 10,000 views and 500 more to make it £21 pounds.
What are the coordinates of point P?
O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)
P
Answer:
A
Step-by-step explanation:
crawl before you walk.
Is this answer right?
Answer:
Blank 1: 64° (or 32°, depending on what the label applies to)
Blank 2: 42
Step-by-step explanation:
It is a common mistake to believe you have solved the problem when you have found the value of the variable(s) in the problem. You have correctly found the values of n (42) and m (9). However, that is not what the problem is asking for.
We cannot tell if the value (1/2n+11)° is referring to angle DAB, or to angle CAB. In any event, (1/2n+11)° = (1/2×42 +11)° = 32°.
If that is angle CAB, then angle DAB is twice that value, 64°.
If that is angle DAB, then angle DAB is 32°.
__
The side length CD is the same as any other side length in a rhombus, so ...
CD = 4m+6 = 4×9 +6
CD = 42 . . . . units
what is 18 kg in grams
Answer:
18 000
Step-by-step explanation:
One kg is 1000 grams. 18 kg are 18 x 1000 = 18 0000 grams.
How many football fields are 1.4 billion acres
Answer:
67760000000
Step-by-step explanation:
Solve the word problems below: When I woke up today morning, the temperature was 24 o C. Every two hours, it gets warmer by 1o C. Write an equation to represent this linear relationship.
Answer:
n + 23
24,25,26,27,28,29,30,...
Find the missing dimensions: Use the scale factor 1/4:3
Answer:
The answer is 1/4!
Step-by-step explanation:
Plss Help Due Tomorrow Give Brainliset
Answer:
1=137 2=43 3=137 4=43 5=137 6=43
Step-by-step explanation:
You are paid 3.50 for every case you deliver to a store. If you deliver fifty seven cases, what will you be paid for that delivery?
Answer:
199.50
Step-by-step explanation:
Given the 3.50 payment for every case delivered to a store:
This means that you will earn 199.50 for delivering 57 cases, because:
57 cases × 3.50 each case = 199.50
Therefore, you will be paid 199.50 for that delivery.
A train travels with a constant speed
of 32 km/h. How long will it take to
travel a distance of 80 kilometers?
Answer:
2.5 hours
Step-by-step explanation:
time = distance / speed
t = 80 / 32
t = 2.5 hours
Jill lives 3 1/2 miles from school. One morning, her friend was giving her a ride. When they were 2/3 of the way to school, their car broke down and they had to walk the rest of the way. Draw a picture to help you figure out how far they walked.
We want to find the distance that Jill and her friend must walk, we will see that the distance is (1 + 1/6) miles
So the total distance of the travel is:
(3 + 1/2) miles.
2/3 of that distance are made in the car, then the other 1/3 is the distance that they must walk. A rough sketch of the situation is shown at the end.
Then we must solve:
(1/3)*(3 + 1/2) miles = ((1/3)*3 + (1/3)*(1/2)) miles
= (1 + 1/6) miles
So the distance that they must walk is (1 + 1/6) miles
If you want to learn more, you can read:
https://brainly.com/question/14709125
explain in words what this problem is asking you to do 3(×+2)
Step-by-step explanation:
You simply have to multiply 3 by all what is in the bracket forinstance
3x+6 , this is so because 3 is multiplied by x and also multiplied by 2
you have 20 quaters you find 40% more in your room then you go shopping and spend 50% of the total number of quarters
Answer:
you would have 14 quarters left.
What would the weight of the Labrador be in kilograms?
A. 4 kilograms
B. 88 kilograms
C. 40 kilograms
D. 8 kilograms
WILL MARK BRAINLY NO BOTS
Answer:
A 4 kilo hopes this helps :)
Step-by-step explanation:
solve for x
9 = x/12
Answer:
X=108
Step-by-step explanation:
Step-by-step explanation:
I have solved the answer in the attached image please ask if you have any query
10p^8 divided by 5p^4
Answer:
[tex]\sf \cfrac{10p^8}{5p^4}[/tex]
Factor: [tex]\sf 10= 5\times 2[/tex]
[tex]\sf \cfrac{5\times \:2p^8}{5p^4}[/tex]
Cancel common factor:- 5
[tex]\sf \cfrac{2p^8}{p^4}[/tex]
Use the Quotient Rule:
[tex]\sf 8-4=4[/tex]
[tex]\boxed{\sf 2p^4}[/tex]
PLS help
85% of 2500m
Answer:
2125m or 2km or 125m
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
2125 meters
Step-by-step explanation:
Have a great day!
I NEED HELPP!!!
Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.
_______________________________________________
Given all of this information, answer the following questions:
1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?
2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)
3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)
I will mark most brainlest whoever gets it right for me :)))
Sorry I can't help you :(
Please don't answer if you don't know, please!!
It's about integrals. I know the answer but I'm not sure of the working.
Answer:
Refer to the attachment
(3/4(3/5) simplify i need the answer because i dont get it
Answer:
35 is already in the simplest form. It can be written as 0.6 in decimal form (rounded to 6 decimal places).
...
Reduce 3/5 to lowest terms
Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 5 is 1.
3 ÷ 15 ÷ 1.
Reduced fraction: 35. Therefore, 3/5 simplified to lowest terms is 3/
Step-by-step explanation:
Which expression is an equivalent expression for 2(6y – 4)?
A. 8x – 2
B. 12y – 8
C. 8y
D. 12y + 4
Answer:
B. 12y-8
Step-by-step explanation:
by multiplying the 2 through the equation
what is the mean,absolute,deviation aka MAD of the numbers below
82,90,75,60,77
if the answer is a decimal, round it to the nearest tenth.
Answer:
7.44
Explanation:
MAD = 1/n sigma | xi - x of line |
A glue company needs to make some glue that it can sell for $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel and glue worth $190 per barrel. It must use the same number of barrels of $150 and S190 glue. How much of the $150 and $190 glue will be needed? How many barrels of $120 glue will be produced
