Answer:
4:7 7 being to total number of marbles (part to whole ratio)
There are 16 blue marbles were in the bag before I added more.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The ratio of blue marbles to yellow marbles is 4 : 3.
And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.
Now,
Since, The ratio of blue marbles to yellow marbles is 4 : 3.
Hence, Number of blue marbles = 4x
Number of yellow marbles = 3x
And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.
Then, We can formulate;
⇒ 4x + 5 / 3x - 3 = 7x / 3x
⇒ (4x + 5) / (3x - 3) = 7 / 3
⇒ 3 (4x + 5) = 7 (3x - 3)
⇒ 12x + 15 = 21x - 21
⇒ 15 + 21 = 21x - 12x
⇒ 36 = 9x
⇒ x = 4
Thus, The number of blue marbles = 4x
= 4 × 4
= 16
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Please help me ilysm if u do ILL ALSO GIVE U BRAINLIEST
there are only r red counters and g green counters in a bag. a counter is taken at random from the bag. the probability that the counter is green is 4/9 the counter is put back in the bag. 4 more red counters and 2 more green counters are put in the bag. a counter is taken from the bag. the probability that the counter is green is 10/23 find the number of red counters and the number of green counters that were in the bag originally. your final line must say, ... red and ... green counters.
The number of red counters and the number of green counters that were in the bag originally is: 10 red and 8 green counters.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, let we had:
R numbers of red counters, and G number of green counters originally.
Then, total counters in the bag originally = R +G
One counter out of R+G counters can be chosen in R+G ways. But one green counter out of R+G counters can be chosen in G ways.
Thus, probability of taking green counter out in one random picking is:
[tex]\dfrac{G}{R + G}[/tex]
It is given that this probability is 4/9. Therefore, we get:
[tex]\dfrac{G}{R+G} = \dfrac{4}{9}\\\\\\9G = 4R + 4G\\\\5G = 4R[/tex](first equation)
When 4 more red counters and 2 more green counters were added, then:
One counter out of R+G+6 counters can be chosen in R+G+6 ways. But one green counter out of R+G+6 counters can be chosen in G+2 ways (since there are G+2 green counters in the considered bag) ways.
Thus, probability of taking green counter out in one random picking is:
[tex]\dfrac{G+2}{R + G+6}[/tex]
It is given that this probability is 10/23. Therefore, we get:
[tex]\dfrac{G+2}{R+G+6} = \dfrac{10}{23}\\\\\\23G + 46 = 10R + 10G + 60\\\\13G = 10R + 14[/tex](second equation)
Thus, we got a system of two linear equations as:
[tex]5G = 4R\\13G = 10R + 14[/tex]
From first equation, getting the value of G in terms of R,
[tex]G = \dfrac{4R}{5}\\[/tex]
Now, substituting this with G in the second equation, we get:
[tex]\\13\left(\dfrac{4R}{5} \right) =10R + 20\\\\52R = 50R + 20\\2R = 20\\R = 10[/tex]
From this value of R, and the value of G in terms of R, we get:
[tex]G = \dfrac{4R}{5}\\\\ = \dfrac{4 \times 10}{5} = 8[/tex]
Thus, R = 10 and G = 8.
Thus, the number of red counters and the number of green counters that were in the bag originally is: 10 red and 8 green counters.
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please solve.
-7 = z over 2 + 1
Do this for a lot of points and brainly!!! Asap
Answer:
(-4,1)
Step-by-step explanation:
you can choose any point on the line
intro to inequalities 16>f, if f=17
Answer:
Is No Solution
Step-by-step explanation:
Find the zeros of the function.
Enter the solutions from least to greatest.
g (x)=(-5x -1)(2x +8)
lesser x =
greater x =
Answer:
[tex]x=-4,\:x=-\frac{1}{5}[/tex]
Step-by-step explanation:
The zeroes of the function [tex]g(x)=(-5x-1)(2x+8)[/tex] can be found by setting [tex]g(x)[/tex] to [tex]0[/tex], then solving for [tex]x[/tex]:
[tex](-5x-1)(2x+8)=0[/tex]
When either term is [tex]0[/tex], the equation is true. Therefore we have two cases:
[tex]\begin{cases}-5x-1=0,\: -5x=1, \:\fbox{$x=-\frac{1}{5}$}\\2x+8=0,\:2x=-8,\:\fbox{$x=-4$}\\\end{cases}[/tex]
Form the given function lesser x value is -4 and the greater x value is -1/5.
What are the zeros of a function?The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.
The given function is g(x)=(-5x -1)(2x +8)
Now, (-5x -1)(2x +8)=0
(-5x -1)=0 and (2x +8)=0
-5x=1 and 2x=-8
x=-1/5 and x=-4
Therefore, form the given function lesser x value is -4 and the greater x value is -1/5.
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IF ANY OF YOU SOLVE I WILL GIVE BRAINLIEST AND EVERYTHING ELSEEEE PLS HELP
4x - 4; x=7
6 - x + y; x=5, y=3
Answer:
1. 4x-4=24
2. 6-x+y=4
Step-by-step explanation:
Answer:
4x(7) - 4= 24
6 - 5 + 3 = 4
Step-by-step explanation:
Thelma ordered 2 tacos and 1 quesadilla and paid $5.51. Louise ordered 2 quesadillas and 1 taco and paid 7.09 find the cost for 1 of each of these items
Answer:
A single taco costs $1.31
A single quesadilla costs $2.89
Step-by-step explanation:
Let's suppose that:
T is the price of a single taco.
Q is the price of a single quesadilla.
Thelma ordered 2 tacos and 1 quesadilla, and she paid $5.51, this can be written as:
2*T + 1*Q = $5.51
And we know that Louise ordered 2 quesadillas and 1 taco, and she paid $7.09, this can be written as:
1*T + 2*Q = $7.09
Then we have a system of equations:
2*T + Q = $5.51
T + 2*Q = $7.09
To solve this, we first need to isolate one of the variables, let's isolate T in the second equation:
T = $7.09 - 2*Q
Now we can replace this in the first equation:
2*($7.09 - 2*Q) + Q = $5.51
Now we can solve this for Q.
2*$7.09 - 2*(2*Q) + Q = $5.51
$14.18 - 4*Q + Q = $5.51
$14.18 - 3*Q = $5.51
$14.18 - $5.51 = 3*Q
$8.67 = 3*Q
($8.67)/3 = Q
$2.89 = Q
This means that the price of a single quesadilla is $2.89
Now we can use the equation:
T + 2*Q = $7.09
T + 2*($2.89) = $7.09
T + $5.78 = $7.09
T = $7.09 - $5.78 = $1.31
The price of a single taco is $1.31
find the x for these
Answer:
i hope these are helpful
Abey and Anoki are eating chocolate bars. The bars are the same size. Abey has ! 3 4 ! Left. Anoki has ! 7 8 ! Left. How much chocolate is left altogether?
Answer:
13/8 of the chocolate will be left altogether.
Step-by-step explanation:
Given that,
Abey and Anoki are eating chocolate bars. The bars are the same size.
Abey left 3/4 of chocolate and Anoki left 7/8 of chocolate.
Left amount = Abey left amount + Anoki left amount
[tex]=\dfrac{3}{4}+\dfrac{7}{8}\\\\=\dfrac{3(2)+7(1)}{8}\\\\=\dfrac{6+7}{8}\\\\=\dfrac{13}{8}[/tex]
Hence, 13/8 of the chocolate will be left altogether.
simplify sqrt n/18 !!!
Answer:
are u really done this one or not I help U okay salamat
Which has the same product as 2/3 x 8
A. 5/6 x 7
B. 1/4 x 13
C. 3/8 x 2
D. 1/3 x 16
Answer: D. 1/3 x 16
Step-by-step explanation:
help please n thank u
i’ll mark brainlist
Answer:
Slope = -1/4
Y-intercept = 50
Step-by-step explanation:
Change in y/ change in x = slope
75/-100 = -1/4
For y, the numbers decrease 25 each time so the change in y is -25.
For x, the numbers increase 100 each time so the change in x would be 100.
The fraction you have left is -25/100
Now, you simplify -25/100 and you get -1/4.
The y-intercept is 50 because x is 0 at the same time in the chart.
Becca had of a yard of ribbon to use for her crafts projects. She used of a yard to make a bow. How much ribbon, r, does Becca have left?
Set up an equation and solve.
answers:46/105, 91/45, 3r/7, 3/7 - r , 136/105
only two space for two answers
Answer:
a y a r d = a 2 y r d a y a r d = a 2 y r d
Step-by-step explanation:
Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 mile head start. Harper runs 0.5 miles per hour fastet than Lism. If harper and Liam run the same distance, how many hours, x, do they run?
Answer:
30 minutes = 0.5 hour
Step-by-step explanation:
0.5 miles faster than Liam:
4x + 0.25 = 4.5x
0.25 = 4.5x - 4x
0.25 = 0.5x
x = 0.25 / 0.5
x = 0.5 hours
x = 30 minutes
Jared painted a mug 3 16 red and 5 16 blue. What part of the mug is not red or blue? of the mug is not red or blue.Jared painted a mug 3 16 red and 5 16 blue. What part of the mug is not red or blue? of the mug is not red or blue.
Answer:
8 16
Step-by-step explanation:
3/16+5+16=8/16
16/16(the whole mug)-8/16=8/16
Answer:
8 16
Step-by-step explvanation:
Pls help and show workings
It due ASAP
Answer:
its SAS
Step-by-step explanation:
As S stand for side A for angle
so side angle side gives SAS
Answer:
Side Angle Side Postulate. The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Step-by-step explanation: Perhaps the easiest of the three postulates, Side Side Side Postulate (SSS) says triangles are congruent if three sides of one triangle are congruent to the corresponding sides of the other triangle. This is the only postulate that does not deal with angles.
How do you find the horizontal asymptote of a rational function?"
A. Set the denominator equal to zero
B. Set the numerator equal to zero
C.plug in zero for x
D. Use one of the 3 rules
Answer:
c
Step-by-step explanation:
Given:
RS ⊥ ST
RS ⊥ SQ
∠STR = ∠SQR
Prove:
△RST ≅ △RSQ
Answer:
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS≅RS | Reflexive Property
3.) △RST ≅ △RSQ | AAS Triangle Congruence Property
Step-by-step explanation:
The required fill-in-the-blank below as:
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS≅RS | Reflexive Property
3.) △RST ≅ △RSQ | AAS Triangle Congruence Property
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
The given in question as:
RS ⊥ ST
RS ⊥ SQ
∠STR = ∠SQR
To prove:
△RST ≅ △RSQ
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS≅RS | Reflexive Property
According to AAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
3.) △RST ≅ △RSQ | AAS Triangle Congruence Property
Hence, △RST ≅ △RSQ
Thus, the required fill-in-the-blank above is in the solution.
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there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are in chorus
Answer:
40
Step-by-step explanation:
3 x 8 = 24
5 x 8 = 40
pls help :( :) i’m a little lost
Answer:
B
Step-by-step explanation:
On a graph you go rise over run (or Y divided by X) which in this equation is 1 divided by 2 which equals 1/2. You also need to look at what number is being crossed on the y axis, which in this case is 1. Slope intercept form is y=mx+b with m being the slope (1/2) and b being the y intercept (1)
Answer:
B. y = 1/2x + 1
Step-by-step explanation:
I went ahead and graphed each of the answer options for you and when I graphed for B it gave me:
simplify 0.2×0.03055
Answer:
[tex]0.2 = \frac{2}{10} = \frac{2}{10 ^{1} } = 2 \times {10}^{ - 1} \\ 0.03055 = \frac{3055}{100000} = \frac{3055}{ {10}^{5} } = 3055 \times {10}^{ - 5} \\ 0.2 \times 0.03055 = 2 \times {10}^{ - 1} \times 3055 \times {10}^{ - 5} \\ = 2 \times 3055 \times {10}^{ - 1 + ( - 5)} \\ = 2 \times 3055 \times 10^{ - 1 - 5} \\ = 2 \times 3055 \times {10}^{ - 6} \\ = 6110 \times {10}^{ - 6} \\ = \frac{6110}{ {10}^{6} } \\ = \frac{6110}{1000000} \\ = 0.006110[/tex]
Evaluate Expressions
Jan 15, 12:46:39 PM
What is the value of the expression below when x = 7?
5x - 7
A spinner with the numbers 1 through 8 is spun 25 times. What is the experimental probability of the spinner stopping on the number 4?
Answer: Because if you think about it it would be 4 because of the fact that it is in the middle of 1-8. So there is a higher chance to land on 4 than any other number.
Step-by-step explanation:
The experimental probability of the spinner stopping on the number 4 is 1/25.
What is experimental probability?Experimental probability is a probability that is determined on the basis of a series of experiments.
A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial.
Given that, a spinner with the numbers 1 through 8 is spun 25 times.
we need to find the experimental probability of the spinner stopping on the number 4
So,
Experimental Probability =
P(E) = Number of times an event occurs / Total number of trials.
Number of times an event occurs = 1
Total number of trials = 25
Therefore,
P(E) = 1/25
Hence, the experimental probability of the spinner stopping on the number 4 is 1/25.
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Can someone explain how I should solve this?
Tile costs $28 per square meter. How much will it cost to cover the countertop with the new tile? It will cost $ to cover the countertop with new tile.
Answer:
A. 4.4652 square meters
B. $125.03
Step-by-step explanation:
A countertop is 16 feet long and 3 feet wide.
A. Calculation for What is the area of the countertop in square meters
First step is to calculate to convert 16 feet long length to meters and 3 feet wide length to meters
Since 1 meter=3.28 Feet
Hence,
Meters=16 feet long /3.28 Feet
Meters=4.88 meters
Meters=3 feet wide/3.28 Feet
Meters=0.915 Meters
Now let calculate the area of the countertop in square meters
Area of the countertop=4.88 meters*0.915 Meters
Area of the countertop=4.4652 square meters
B. Calculation for How much will it cost to cover the countertop with new tile
Total cost=$28*4.4652 square meters
Total cost=$125.03
Therefore How much will it cost to cover the countertop with new tile is $125.03
-7 x - 2y = -13
x - 2y = 11
Lee filled several jars with 1/4 cup of water in each jar .He used a total of 8 cups of water. Let j represent the number of jars that Lee filled. Write and Solve an equation to find out how many jars lee filled.
Answer: 32
Step-by-step explanation:
8x4 = 8 / 0.25
PLEASE HELP ME WITH THIS PROBLEM!!!!
Answer:
It is positive 3
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Any numbers inside the absolute value are always positive, so in this case, 12 is 12, and -15 is 15. Add these numbers to get 27 as your answer.
La Vasha noticed that she caught six pigeons for every turtle when she played Pocket Monster
Walk. If LaVasha caught 102 pigeons, how many turtles did she catch?
Answer:
She has 17 turtles
Step-by-step explanation:
You have to divide 102 by 6 which equals 17.