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
x 2 − 10 x + 5
what is the answer
Answer:
-8x+5
Step-by-step explanation:
txt if you need a explanation
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 21 fl oz per hour. How fast was the pipe leaking in gallons per day?
Answer:
3.9375 gallons per day or 4 gallons if you want to round up
Someone, please help me with this MATH question.
Answer:
A
Step-by-step explanation:
instant oatmeal regularly sells for $3.67 a box. oatmeal is now 2 for $5.00. how much can Norris Russell save by purchasing 2 boxes?
Answer: $2.34
Step-by-step explanation: first add $3.67+$3.67 that equals $7.34
then subtract 7.34 by 5.00 to get 2.34
Norris Russell saved $2.34
Answer:
$3.67+$3.67=$7.34
Subtract 7.34 by 5.00 to get 2.34
Norris Russell saved $2.34
Fred buys flags from a manufacturer
for $12.50 dollars and then sells
them in his store for a 26% markup.
What price do his customers pay for
a flag?
Answer:
15.75
Step-by-step explanation:
26%of12.5
=12.5*26/100
=3.25
customers pay for a flag is 3.25+12.5=15.75
Jenna has a cube with a volume of 5 cubic inches. If each dimension of the cube is tripled , what will be the volume of the enlarged cube?
[tex]\\ \sf\longmapsto V=5in^3[/tex]
[tex]\\ \sf\longmapsto side^3=5[/tex]
[tex]\\ \sf\longmapsto side=\sqrt[3]{5}[/tex]
[tex]\\ \sf\longmapsto side=2.2in[/tex]
Side gets tripled
New side=2.2(3)=6.6in[tex]\\ \sf\longmapsto Volume=6.6^3[/tex]
[tex]\\ \sf\longmapsto Volume=287.4in^3[/tex]
Answer:
135 in³Step-by-step explanation:
If the side of the cube is s and volume is 5 and you triple the side then:
V₁ = s³ = 5The enlarged cube has the volume:
V₂ = (3s)³ = 3³*s³= 27s³ = 27*5 = 135 in³Write a linear equation that describes the problem.
What problem. You didn't attach anything or put it in the question.
I put the question in a doc cuz its a screenshot, please help
Answer:
53 po ang tamang sagot po
Which relation is a function?
€1 = £0.85. Change €345 into £.
£293.25
Step-by-step explanation:If 1 euro is worth 0.85 pounds, the total of 345 euros is 0.85 times the value of a single euro. This is therefore 0.85 * 345, or £293.25.
Please simplify
(6-√-16)+(-4+√-25)
Answer:
2+i
Step-by-step explanation:
hallar el factor comun por agrupacion de terminos de los siguientes ejercicios
a.3m[tex]2^{2}[/tex]
b.
c.
d.
e.
f.
g.
h.
i.
Answer:
No factorizable, está en su forma más simple
Step-by-step explanation:
Find the common factor by grouping the terms of the following exercises
3m[tex]2^{2}[/tex] --> Not factorable, is in simplest form.
Hallar el factor comun por agrupacion de terminos de los siguientes ejercicios
3m[tex]2^{2}[/tex] --> No factorizable, está en su forma más simple.
--------------------------------------------------------------------
Explicación: Solo puede factorizar, o simplificar, una ecuación o solo variables, si la variable que tiene un exponente tiene la misma base que otra variable, como x ^ 2 y x ^ 3, puede simplificarla ax ^ 5. Ahora, en este problema tenemos un 3, y 2 ^ 2, en el 2 ^ 2, 2 es la base y el otro número es 3, que definitivamente no es la misma base, por lo que no puede factorizarlo más, y deje la variable a lo largo.
What does x equal in the equation 10= 0.0048(x - 50)^2 + 6?
Answer:
x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}
Step-by-step explanation:
(x-50)^2 is x^2+2500-100x*.0048 is .0048x. 2500*0.0048 is 12, and -100*0.0048=-.48.
So, we have .0048x^2+12-.48x+6, which is
.0048x^2+18-.48x=10. USing the quadratic formula, we get
x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}
(Enter into symbolab.com to see theanswer)
Use long division to divide x3 + x2 - 2x + 14 by x + 3. Choose the correct quotient.
Answer:
x2 - 2x + 4 (remainder 2).
or we could write it as
x2 - 2x + 4 + 2/(x+3)
Step-by-step explanation:
x2 - 2x + 4 <------ quotient.
x + 3 ) x3 + x2 - 2x + 14
x3 + 3x2
-2x^2 - 2x
-2x2 - 6x
4x + 14
4x + 12
2 <--------- remainder
Step-by-step explanation:
Can someone help me with this please? It's due today!!
Answer:
in order so the line can pass through those point the equation has to be:
Y=6/3x+0
If you subtract a negative number from that same number you are taking a negative amount from the negative number you started with which means you are making it more positive. Subtracting a negative number is the same as adding a positive one. Such as (-5) - (-6) = 1.
Answer:
Step-by-step explanation:
If u got two negative number such as (-6)+(-7) your answer will be positive 13.
If u got one negative number and one positive number like (-10)-(5) the answer will be negative like -5
plz answer this question if you know it
Answer:
Step-by-step explanation:
You're required to basically scale the figure down. Angles will remain the same, horizontal lines will remain horizontal, but lengths will be 1/3 of the original. In particular the length DC will be only 1 square, bringing C' only one to the right of D. The distance DB will also shrink from 6 to two squares, below D. Finally, the point A' will be on the line AD, on the horizontal containing B'.
What is the radius of both circles? (I NEED HELLLLPPPPP)
Answer:
Ik think that the first one is 5. im not sure tho
carly and four friends went to dinner at a restaurant. Carly paid $180 to cover the cost of everyone's dinner. Each persons meal cost the same amount. How much did each meal cost
A modern sculpture in a park contains a parabolic arc that
starts at the ground and reaches a maximum height of 10 feet after a
horizontal distance of 4 feet. Write a quadratic function in vertex form
that describes the shape of the outside of the arc, where y is the height
of a point on the arc and x is its horizontal distance from the left-hand
starting point of the arc.
Using the vertex form, the equation of the parabola is given by:
[tex]y = a(x - 4)^2 + 10[/tex]
The equation of a parabola, with vertex (h,k), is given by:
[tex]y = a(x - h)^2 + k[/tex]
In which a is the leading coefficient.
In this problem, it reaches a maximum height of 10 feet after a horizontal distance of 4 feet, hence, the vertex is (4,10), that is, [tex]h = 4, k = 10[/tex]. Then, the equation for the parabola is:
[tex]y = a(x - 4)^2 + 10[/tex]
A similar problem is given at https://brainly.com/question/15165354
300 x 47 explain please
Answer:
I think u mean to just multiply 300 * 47 would equal 14,100
300
x 47
7*0 = 0 7*3=21 so 2,100
40*0 = 0 since 40 has a 4 you can take 4*3 and put a 0 on the end 4*3= 12 so 40*3= 120 so with so with the bonus 0's it would be 12,000
12,000
+ 2,100
14,100 so that means
300
x 47
14,100
Please HELP!!!!PLSLSLSLSS
Answer: where is the question??
what do you need help with?
PLEASE HELP ME IM SORRY PLEASE
Hello! (:
-----------------------------------------------------------------------------------------------------------------
5 less than 3.1 times a number n:
3.1n-5
Four more than the quotient of 12 and a number n:
n/12+4
Hope this helps you!
~SparklingFlower
-----------------------------------------------------------------------------------------------------------------
show me step by step : 0.18x1.5
Answer:
0.27
Step-by-step explanation:
0.1 8
x 0.50
-----------
000
900
x 1800
-----------
2700 = 0.27
How to teach multiplication with 2 digit numbers.
Answer:
10x50=
Step-by-step explanation:
10
x50
_____
00
+5 00
_____
500
first times the one times everything then carry a zero for the second number
them times the tens place by everything
then add them
16. The quotient of 7 and a number
Answer:
7/n would be a algebraic express
Step-by-step explanation:
Please help !!!!!!
Carl is looking for tickets to a concert. Last week he found them for $35.00 each ticket. This week the price is $54.00 for each ticket. Did the price increase or decrease? What was the percent change in price? (Show all of your work)
Answer:
See Below
Step-by-step explanation:
Lets note some facts,
Last weeks price for tickets: $35
This weeks price: $54
If you were to ask if these numbers increased or decreased, the numbers increased.
It increased by 19%, for as 19 dollars.
Hope this helps!
What is the slope of a line passing through the points (2, 5) and (0, −4)?
Answer:
The slope of the line is [tex]\frac{9}{2}[/tex] (nine over two)
Step-by-step explanation
Have a nice day
what is
-0.35 - (-0.25)??
Answer:
Please mark brainliest <3
Step-by-step explanation:
find slope of line with the points (-5,-4) and has a slope of -3/5
Answer:
-3/5
Step-by-step explanation:
The answer is already in your question. You're asking for the slope of a line with an already stated slope