Answer:
(a) 5/14
(b) 54 beads
(c) 6 green beads
Step-by-step explanation:
(a) Find the total number of units for red and green beads.
5 + 9 = 14
Since red beads is 5, it is 5/14.
(b) Find the units for red and green beads altogether.
5 + 9 = 14
14 units = 84 beads
Find one unit.
1 unit = 84 ÷ 14 = 6 beads
Since green beads have 9 units, find how many beads there are in 9 units.
9 units = 6 x 9 = 54 beads
(c) As there are 54 green beads and Susie wants to have twice as much green beads as red beads, she have to find how many red beads there are first.
Since red beads have 5 units, find how many beads there are in 5 units.
5 units = 6 x 5 = 30 beads
After that, since she wants twice, she have to find x2 of 30 beads which are red.
30 x 2 = 60
After that, find the remaining amount of green beads needing to make x2 of 30.
60 - 54 = 6 beads (green)
Part(a),
5/14 of the beads are red.
Part(b),
There are 54 green beads in the bag.
Part(c),
Add 18 red beads and 36 green beads to the bag to get the desired ratio.
How to get the solution?(a) There are five times as many red beads as green beads, or a 5:9 ratio. Therefore, there are 9 green beads in the bag for every 5 red beads. Therefore, the fraction of the beads that are red can be expressed as:
5/(5+9) = 5/14
So, 5/14 of the beads are red.
(b) The bag contains 84 beads, and the proportion of red to green beads is 5:9. Let G equal the number of green beads and R equals the number of red beads. Next, we have:
R/G = 5/9
And we also know that:
R + G = 84
We can use the first equation to express R in terms of G:
R = (5/9)G
This results from substituting this into the second equation:
(5/9)G + G = 84
Simplifying:
(14/9)G = 84
G = (9/14) * 84 = 54
So there are 54 green beads in the bag.
(c) Let's assume that the bag currently contains G-green beads and R red beads. So that there are twice as many green beads as red beads, we wish to add a few more beads.
G = 2R
We also know that the total number of beads in the bag should be:
R + G + X = 84
Where X is the required number of beads. G = 2R is substituted into this equation to produce:
R + 2R + X = 84
3R + X = 84
Finding R and X numbers that meet both this equation and the prerequisite that G = 2R is necessary. One potential answer is:
R = 18, X = 30
This gives:
G = 2R = 36
And:
R + G + X = 18 + 36 + 30 = 84
Hence, to get the correct ratio, we can add 18 red beads and 36 green beads to the bag. There might be other workable alternatives as well, though.
To know more about an expression follow
https://brainly.com/question/13590692
#SPJ2
find the consecutive even integers such that three times the larger number is 30 more than the smaller one. help :')
Answer:
12 and 14
Step-by-step explanation:
Let the even integers be x and x+2
three times the larger number is expressed as 3(x+2)
30 more than the smaller one is x + 30
Equating both expressions
3(x+2) = x +30
Find x
3x+6 = x+30
3x-x = 30-6
2x = 24
x = 12
The second integer is 12+2 = 14
Hence the required integers are 12 and 14
Which one would this be on here
Answer:
the second one!
=
Step-by-step explanation:
Please help, our teacher didnt explain this, but still assigned hw on it
Answer:
I can't tell what it says so I can't solve it
Answer:
I can't tell what that is , sorry
Please help!!!! 20 points!!! Will give brainliest
Answer:
sorrry but i need points
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is x+2y=10
Answer: slope =
-1/2
Step-by-step explanation:
Since they are parallel, they will never intersect. The only way this is possible is if they have the same slope. All you had to do was get y by itself and find the number next to the x. Subtract the ten and the 2y and pass them to their opposite sides that way it will be x-10= -2y. After that, divide the -2 by everything on the x side. The final equation is -1/2x -10= y.
Twice the difference of 1 and a number.
math question || thank uu
Answer:
Step-by-step explanation:
plot an open circle on the 4 and a closed circle on the 10. Then draw a line that goes from 4 to 10.
Mason used a 30% coupon to buy a new computer. After the discount, the cost of the computer was $728.
Determine the original price of the computer. Show your work.
What single decimal multiplier would you use to decrease by 19% followed by a 17% decrease?
Answer:
0.81 & 0.83
Step-by-step explanation:
How many 3/10 are in 6?
Answer:
there are 20
Step-by-step explanation:
there are 60/10 in 6
60/3=20
Answer:
20
Step-by-step explanation:
can someone please help me with this equation? i'll give you the brainliest answer :)
PLEASE HELP ME!!! I WILL MARK THE BRAINLIEST!! A given rational function has a quadratic numerator and a linear denominator. When the function is simplified, the denominator cancels out. The graph will look like:
a- a straight line with a hole
b- two branches with a vertical asymptote and a horizontal asymptote
c- two branches with a vertical asymptote, a horizontal asymptote and a hole
d- a straight line with no hole
Answer:
D A strait line with a hole because when you cancel you will leave a hole
Step-by-step explanation:
b
Graph the following:
y = (x^2 - x - 2) / (x - 2)
First I'll find any vertical asymptotes, by setting the denominator equal to zero and solving:
x – 2 = 0
x = 2
So I have a vertical asymptote
at x = 2.
I'll dash this in:
graph showing vertical asymptote
Advertisement
Looking at the degrees of the numerator and denominator, I see that the numerator is a quadratic while the denominator is linear. Since the degree is one greater in the numerator, I know that I will have a slant asymptote. But I need to do the long division to find out what the equation of the slant asymptote is going to be.
long division: (x^2 - x - 2) ÷ (x - 2) = x + 1
Hmm... The slant asymptote is clearly y = x + 1, but there is no remainder; the division came out evenly. That's because the numerator happens to factor as (x – 2)(x + 1), so the x – 2 factor divides out evenly and there is no remainder.
In any case, the slant (not horizontal) asymptote is at y = x + 1:
graph showing slant asymptote
Now I'll find the intercepts: Copyright © Elizabeth Stapel 2003-2011 All Rights Reserved
x = 0: y = (0 – 0 – 2)/(0 – 2) = 1
y = 0: 0 = (x2 – x – 2) / (x – 2)
0 = x2 – x – 2
0 = (x – 2)(x + 1)
x = 2, x = –1
I know that I can't have x = 2, as an x-intercept, because this is actually the vertical asymptote. So I'll ignore that "solution" of the above equation.
The intercepts then are
(0, 1) and (–1, 0):
graph showing intercepts
Now I'll plot a few more points. However, since this example is actually a special case of slant-asymptote problem (and something of a trick question), I'll also show you the points for the slant asymptote only.
x y = (x2 – x – 2)/(x – 2) y = x + 1
–6 y = (36 + 6 – 2)/(–6 – 2) = –5 y = –5
–5 y = (25 + 5 – 2)/(–5 – 2) = –4 y = –4
–4 y = (16 + 4 – 2)/(–4 – 2) = –3 y = –3
–3 y = (9 + 3 – 2)/(–3 – 2) = –2 y = –2
–2 y = (4 + 2 – 2)/(–2 – 2) = –1 y = –1
–1 y = (1 + 1 – 2)/(–1 – 2) = 0 y = 0
0 y = (0 – 0 – 2)/(0 – 2) = 1 y = 1
1 y = (1 – 1 – 2)/(1 – 2) = 2 y = 2
2 — y is not defined — y = 3
3 y = (9 – 3 – 2)/(3 – 2) = 4 y = 4
4 y = (16 – 4 – 2)/(4 – 2) = 5 y = 5
Do you see how that, except for the one point where the rational function isn't defined (at x = 2), the two lines are the same? In general, this is not true for rationals. But in this special case — where the long division works out with no remainder — you don't actually even need the asyptote lines dashed in. Instead, you find the slant asymptote equation (in this case, y = x + 1), and you draw that in for the rational graph.
The only difference between the slant asymptote of the rational function and the rational function itself is that the rational function isn't defined at x = 2. To account for this, I leave a nice big open circle at the point where x = 2, showing that I know that this point is not actually included on the graph, because of the zero in the denominator of the rational.
graph of y = (x^2 - x - 2) / (x - 2)
Warning: This graph is not the norm for rationals. But you should expect to encounter one like this, perhaps on the test. I've only ever seen this done with slant asymptotes, but it could be done with horizontal asymptotes, too. Keep in mind that you can't just "cancel off" duplicate factors when graphing rationals; you still need to account for all the zeroes of the denominator.
Note that your calculator will probably not show this hole in the graph, and "TRACE" will probably miss it too, since it is unlikely that x = 2 will be exactly on the pixel that the calculator is processing. But even if the graph does not show the gap in the line, the calculator will show no value for y when x is two.
When I asked my calculator to evaluate y for x = 2, I got this:
screen shot showing apparently connected line
If it just so happens that the vertical asymptote falls on a pixel (rather than between two pixels), then the gap in the graph will display on the calculator's pretty picture.
For instance, when I changed the window settings on my graphing calculator so the x-values ran from –7 to 7 (rather than the default –10 to 10), the gap was (just barely) visible:
screen shot showing gap in graph
When you do these graphs, get in the habit of working methodically through all the steps (vertical asymptote(s), horizontal or slant asymptote, intercept(s), plotted points, and graph), so you can do the graphing easily when you get to the test. And, as you can see above, you will need to know this material well enough that your calculator doesn't mess you up.
Kim picked 250 pounds of pears yesterday and 287 pounds of pears today. What is the percentage increase of
amount of peas picked by Rim
Given:
Kim picked 250 pounds of pears yesterday and 287 pounds of pears today.
To find:
The percentage increase of amount of pears picked by Kim.
Solution:
We know that,
[tex]\%\text{ increase}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100[/tex]
[tex]\%\text{ increase}=\dfrac{287-250}{250}\times 100[/tex]
[tex]\%\text{ increase}=\dfrac{37}{25}\times 10[/tex]
[tex]\%\text{ increase}=\dfrac{370}{25}[/tex]
[tex]\%\text{ increase}=14.8[/tex]
Therefore, the percentage increase of amount of pears picked by Kim is 14.8%.
Graph the line that passes through the points (-9,5) and (-9,-5) and
determine the equation of the line.
Answer:
x=-9
Step-by-step explanation:
M(slope)=y2-y1/x2-x1
m=-5-5/-9+9
m= -10/0
This means the slope is undefined. Whenever the slope is undefined, the line is vertical and is passing through the x-axis and parallel to the y-axis. Take the given coordinate (-9,5) and all you do is put x= -9. That's the equation of the line.
A teacher has an annual income of $40,400. The income tax the teacher has to pay is 6.5%. What is the amount of income tax the teacher has to pay?
help a girl out What is the slope of a line that would be perpendicular to line k?
Answer:
( -2 , -2 ) or ( 2 , 4 )
Step-by-step explanation:
Answer:
4-1/2-0 = 3/2
Step-by-step explanation:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
PLS HELP ASAP WILL GIVE YOU BRAINLEST
Tell whether each point is on the graph of f(x) = [x]. If it is, give the coordinates of another point with the same y value.
1.(-2.3, -2.3)
2. (11, 11)
3.(15, -15)
4.(0, 1)
5.(1,0)
6.(-8,8)
Answer:
Step-by-step explanation:
The total charge for a yearly internet DVD rental membership is $231. A registration fee of $15 is paid up front , and the rest is paid monthly. Write an equation to determine how much new members pay each month, m.
How much do new members pay each month,m.
Answer:
89 cents.
Step-by-step explanation:
hope this helps
I will give brainliest!!!
The measure of 3 is 101º. Find the measure of 4.
79°
106°
74°
101°
Answer:
79
Step-by-step explanation:
3=1
4=2
3=101
1=101
2 and 4=180-101=79
four friends go out for lunch. Each person orders 1 drink for $1.50 and 3 tacos. The total cost for all 4 people is $24. What is the price of one taco.
▪︎Let x represent the price of one taco. Which equation represents the problem?
1. 4(1.50+x) = 24
2. 4(1.50+3x) = 24
3. 1.50+3x = 24
4. 3(1.50+4x) = 24
Answer:
The answer is B
Step-by-step explanation:
I just got it right on iready
Which expression is equivalent to ?
I NEED THIS DONE IN TWO HOURS :,(
solve the system of equations by subtraction x=-4y
x+5y=2
A.(-8,2)
B.(8,-2)
C.(2/9,8/9)
D.(-12,3)
find the surface area of the prism
Answer:
I answer should be 148 ft squared
hope this is right :)
Answer:
6x4x5 = that equals.......
Simplify the product using the Distributive Property.
(4r –5)(7r + 2)
A. 28r2 + 43r – 10
B. 28r2 – 27r + 10
C. 28r2 + 43r + 10
D. 28r2 – 27r – 10
Answer:
D
Step-by-step explanation:
the picture pretty much explain it step by step; hope this helped!
helpppppppppppppppp i dont know this
Answer:
f(- 3) = - 16
Step-by-step explanation:
To evaluate f(- 3) with x = - 3 in the interval x ≤ - 2, then
f(- 3) = 5x - 1 = 5(- 3) - 1 = - 15 - 1 = - 16
Please help. I’ll give brainliest
Answer:116.886
Step-by-step explanation:multiply all the sides then devide by 1/2
Answer:
15.312
Step-by-step explanation:
what number line shows the solution to 1/4x +1 < 5
Answer:
I think that it is...
Step-by-step explanation:
sorry
write an equivalent ratio for 1.5 to 3.5
Answer: 0.3 or 0.7 Im not sure.
Step-by-step explanation: But Correct me if i'm wrong :)
(6x10^6) / (2x10^3) solve?
Answer:
3x^999000
Explantiotn
please help me with this will give you brainliest
Answer:
M6 = 116
M8 = 116
Step-by-step explanation:
M6 = 180-64 = 116
M8 = 116