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
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
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
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.
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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.
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
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:
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
Write a linear equation that describes the problem.
What problem. You didn't attach anything or put it in the question.
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
16. The quotient of 7 and a number
Answer:
7/n would be a algebraic express
Step-by-step explanation:
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
Someone, please help me with this MATH question.
Answer:
A
Step-by-step explanation:
What is the radius of both circles? (I NEED HELLLLPPPPP)
Answer:
Ik think that the first one is 5. im not sure tho
what is
-0.35 - (-0.25)??
Answer:
Please mark brainliest <3
Step-by-step explanation:
€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.
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
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 in³x 2 − 10 x + 5
what is the answer
Answer:
-8x+5
Step-by-step explanation:
txt if you need a explanation
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
I put the question in a doc cuz its a screenshot, please help
Answer:
53 po ang tamang sagot po
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'.
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
Which relation is a function?
Please HELP!!!!PLSLSLSLSS
Answer: where is the question??
what do you need help with?
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
Please simplify
(6-√-16)+(-4+√-25)
Answer:
2+i
Step-by-step explanation:
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
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)
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
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!
PLEASE HELP ME IM SORRY PLEASE
Hello! (:
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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
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