Pls help it due in a hour and show workings...

Answer:

40

Step-by-step explanation:

3 x 8 = 24

5 x 8 = 40

The number of red counters and the number of green counters that were in the bag originally is: 10 red and 8 green counters.

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.

Learn more about probability here:

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Answer:

Step-by-step explanation:

The perimeter of a parallelogram ABCD IS 92cm. AD is 1cm more than twice AB. Find the lengths of all four sides of ABCD

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let x = |AD|   (the length of the side AD).

Let y = |AB|   (the length of the adjacent side AB).

Then

2x + 2y = 92   (the perimeter)

x - 2y = 1    ("AD is 1cm more than twice AB.")

Add the two equations (both sides) and get

3x = 92 + 1  --->  3x = 93  --->  x = 93/3--->  x = 31.

Then from the second equation  2y = x - 1 = 30-1 = 30.

Hence, y = 30/2 = 15.

Answer. The sides of the parallelogram are 31, 15, 31 and 15 cm long.

Answer:

F. 3k - 11 =-34

Step-by-step explanation:

3(-15) -11 = -34

-45 - -11 =-34

- + - = a positive

-45 + 11 = -34

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

Answer:

are u really done this one or not I help U okay salamat

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

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.

Learn more about congruent triangles here:

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Answer:

(-4,1)

Step-by-step explanation:

you can choose any point on the line

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.

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

Answer:

Is No Solution

Step-by-step explanation:

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

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:

Answer: D. 1/3 x 16

Step-by-step explanation:

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.

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.

To learn more about the zeros of a function visit:

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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:

Answer:

i hope these are helpful

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.

Answer: 32

Step-by-step explanation:

8x4 = 8 / 0.25

Step-by-step explanation:

Each of the printing companies have their own advantages. APlus Printing has a lower setup fee and PrintMore has a lower cost for each poster printed. We can find out at what number of posters are the 2 costs the same.

Let x be the number of posters.

We have $20 + $0.1x = $55 + $0.05x.

=> $0.05x = $35

=> x = 700

Hence we can give a conclusion:

Answer:

She has 17 turtles

Step-by-step explanation:

You have to divide 102 by 6 which equals 17.

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]

Answer:

Y = 10.25 or 10.247

Step-by-step explanation:

Alright So use the Formula A^2 + B^2 = C^2

You have one leg and the hypotenuse so first you are going to find 19 ^2 = 361.

Next, you need to find 16^2 = 256.

Last but not least, you subtract the leg from the hypotenuse, which equals 361-256=105

Finally, you take 105 and find its square root.

And depending on how far you round it down, your answer would be 10.25(that is in tenths), or 10.247(which is rounded to hundredths)

Hope this helps!