Which values of a, b, and c represent the answer in simplest form?

StartFraction 5 Over 8 EndFraction divided by StartFraction 3 Over 8 EndFraction = a StartFraction b Over c EndFraction

A. a = 1, b = 3, c = 2

B. a = 1, b = 40, c = 24

C. a = 1, b = 16, c = 24

D. a = 1, b = 2, c = 3

Analysing the question:

We are given that the ratio between the blue and red color is 8 : 3

as long as the volumes of the colours added simplify to 8 : 3 , the color will be Perfect Purple

Lada's Solution:

Lada mixed 24 mL of blue water with 9 mL of red water

we will try to simplify this ratio:

24:9 = 24 / 9

8 / 3

8 : 3

Hence, the ratio of the colours in Lada's mixture is correct. So, Lada will get perfect purple water

Andre's Solution:

Andre mixed 16mL of Blue water with 9 mL of red water

we will try to simplify this ratio:

16 : 9 = 16 / 9

THIS RATIO CANNOT BE SIMPLIFIED

Hence, the ratio of blue and red color in Andre's mixture is 16 : 9

but the ratio for a perfect purple color is 8 : 3

Since the ratio in Andre's mixture is incorrect, she will NOT get the perfect purple colour

Answer:

Lada will get a color mixture that is the same shade as Perfect Purple Water.

Step-by-step explanation:

Proportions

The mix for Perfect Purple Water contains 8 ml of blue water with 3 ml of red water.

The exact proportion of both ingredients is, blue to red:

[tex]\displaystyle \frac{8}{3}[/tex]

Lada mixes 24 ml of blue water with 9 ml of red water. The proportion is:

[tex]\displaystyle \frac{24}{9}[/tex]

Simplifying by 3:

[tex]\displaystyle \frac{8}{3}[/tex]

The proportion obtained by Lada is the same shade as Perfect Purple Water.

Andre mixes 16 ml of blue water with 9 ml of red water, his proportion is:

[tex]\displaystyle \frac{16}{9}[/tex]

This fraction cannot be reduced and its result is not exactly the same as the perfect required proportion.

Thus, Lada will get a color mixture that is the same shade as Perfect Purple Water.

Answer:

Step-by-step explanation:

-15x = x = 0/-15

x = 0

Step-by-step explanation:

-15x=0

-15x/-15=0/-15

x=0

-15(0)=0

9514 1404 393

Answer:

  -2, 1, 4, 7

Step-by-step explanation:

Start with n=1. Put the value where n is in the expression and do the arithmetic.

  a1 = 3·1 -5 = -2

  a2 = 3·2 -5 = 1

  a3 = 3·3 -5 = 4

  a4 = 3·4 -5 = 7

__

You may notice that each term is 3 more than the previous one.

Answer:

0.0018

Step-by-step explanation:

P(z>2.88)=1-0.9980= 0.0018

Answer:

WHAT THE FAWK SRE YOU SAYING AND WRITING

Answer:

truste me dont!

Step-by-step explanation:

Answer:

The first graph is the correct answer.

Step-by-step explanation:

I hope this helps.

Answer:

try 77

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

for the first one -6/3=3/(-6)

is false

The left side  − 2  does not equal to the right side  − 0.5 , which means that the given statement is false.

False

-8*9=9*(-8)

is true

The left side  − 72  is equal to the right side  − 72 , which means that the given statement is always true.

True

Answer:

Step-by-step explanation:

In population genetics, the Hardy–Weinberg principle, also known as the Hardy–Weinberg equilibrium, model, theorem, or law, ... Males, A (p), AA (p2), Aa (pq) ... The sum of the entries is p2 + 2pq + q2 = 1, as the genotype frequencies must sum to ... Suppose that Aa is a pair of Mendelian characters, A being dominant, and

Answer:  3/11

Step-by-step explanation:

you must do cross canceling to simplify the expression

then just do multiplication from left to right

7/11 times 3/7 the 7 can be crossed out and turned into a 1

then do 1 times 3 for the numerator then 11 times 1 for the denominator and get you answer 3/11

Answer:

87.50

Step-by-step explanation

Answer:

From the given figure, we can see that

∠LON = ∠LOM + ∠MON

replacing the variables with the given values

77 = 9x + 44 + 6x + 3

77 = 15x + 47

15x = 30

x = 2

Finding ∠MON:

we are given that ∠MON = 6x +3

now that we know the values of x,

∠MON = 6(2) + 3

∠MON  = 12 + 3

∠MON = 15°

Answer:

NOM and POR

(so so sorry if it's wrong, I tried my best to help you but I had to look up an image of a angle like that but i hope you have a wonderful day, sorry again if i am wrong, i hope i help in a way, in i did not, sorry)

Answer:

ok

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

1.732

Step-by-step explanation:

.......................

Answer:

z = -1

Step-by-step explanation:

Simplifying

z + (z + -6) + -2 = -10

Reorder the terms:

z + (-6 + z) + -2 = -10

Remove parenthesis around (-6 + z)

z + -6 + z + -2 = -10

Reorder the terms:

-6 + -2 + z + z = -10

Combine like terms: -6 + -2 = -8

-8 + z + z = -10

Combine like terms: z + z = 2z

-8 + 2z = -10

Solving

-8 + 2z = -10

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 2z = -10 + 8

Combine like terms: -8 + 8 = 0

0 + 2z = -10 + 8

2z = -10 + 8

Combine like terms: -10 + 8 = -2

2z = -2

Divide each side by '2'.

z = -1

Simplifying

z = -1

Answer:

z= -1

Step-by-step explanation:

Simplifying

z + (z + -6) + -2 = -10

Reorder the terms:

z + (-6 + z) + -2 = -10

Remove parenthesis around (-6 + z)

z + -6 + z + -2 = -10

Reorder the terms:

-6 + -2 + z + z = -10

Combine like terms: -6 + -2 = -8

-8 + z + z = -10

Combine like terms: z + z = 2z

-8 + 2z = -10

Solving

-8 + 2z = -10

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 2z = -10 + 8

Combine like terms: -8 + 8 = 0

0 + 2z = -10 + 8

2z = -10 + 8

Combine like terms: -10 + 8 = -2

2z = -2

Divide each side by '2'.

z = -1

Simplifying

z = -1

Answer:

A. 12/25

B. 96 pieces

Step-by-step explanation:

A. For this, Ida got 12/25 lemon taffies, therefore the probability is the same.

B. The ratio of lemon to other taffies is 12/25. This means that for every 25 pieces of taffy, 12 of them are lemmon. If you multiply the numerator and denominator by 8, you get 96/200, which says that out of 200 pieces, 96 should be candy.

9514 1404 393

Answer:

  your marked choice is correct: x = e

Step-by-step explanation:

For the line to go through the origin, the ratio of ln(x) to x at the point must equal the slope at the point.

The slope of ln(x) is 1/x, so we require ...

  ln(x)/x = 1/x

  ln(x) = 1 . . . . . . multiply by x

  x = e . . . . . . . . take antilogs

Let the cost of the less expensive comic book be x .

Then :-

[tex]1284 - 11x = x[/tex]

Using this equation , we can find the cost of the less expensive comic book .

Price of the less expensive book :-

[tex]1284 - 11x = x[/tex]

[tex]11x + x = 1284[/tex]

[tex]12x = 1284[/tex]

[tex]x = \frac{1284}{12} [/tex]

[tex]x = 107[/tex]

Cost of the less expensive book is 107 .

Therefore , the epice of the less expensive book = $ 107 .

Cost of the more expensive book = 11x

Which means :-

[tex]1284 - x = 11x[/tex]

[tex]11x + x = 1284[/tex]

[tex]12x = 1284[/tex]

[tex]x = 107[/tex]

[tex]11x = 11 \times 107[/tex]

[tex] = 1177[/tex]

Therefore , the price of the more expensive book = $ 1177 .

The x-values could be 1,3,1,3 because this would eliminate it fom being a function.

Answer:

[tex]x = 24[/tex]

24 is less than 35

Step-by-step explanation:

Given

Jacob: 2000x + 3000

Carlos: 3800x - 40000

Solving (a):

To solve (a), we need to equate both expressions;

[tex]3800x - 40000 = 2000x + 3000[/tex]

Collect Like Terms

[tex]3800x - 2000x = 40000 + 3000[/tex]

[tex]1800x = 43000[/tex]

Solve for x

[tex]x = 43000/1800[/tex]

[tex]x = 24[/tex] --- Approximated

Solving (b);

The manager's prediction is 35 hours.

And the actual hours is 24.

By comparison;

24 is less than 35

Answer:

(a) 0.40

(b) 0.049

(c) [tex]\bar p\sim N(0.40,0.049^{2})[/tex]

(d) Explained below

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 [tex]E(\bar p)=p[/tex]

The standard deviation of this sampling distribution of sample proportion is:

 [tex]SE(\bar p)=\sqrt{\frac{p(1-p)}{n}}[/tex]

Given:

n = 100

p = 0.40

As n = 100 > 30 the Central limit theorem is applicable.

(a)

Compute the expected value of [tex]\bar p[/tex] as follows:

[tex]E(\bar p)=p=0.40[/tex]

The expected value of [tex]\bar p[/tex] is 0.40.

(b)

Compute the standard error of [tex]\bar p[/tex] as follows:

[tex]SE(\bar p)=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.40(1-0.40)}{100}}=0.049[/tex]

The standard error of [tex]\bar p[/tex] is 0.049.

(c)

The sampling distribution of [tex]\bar p[/tex] is:

[tex]\bar p\sim N(0.40,0.049^{2})[/tex]

(d)

The sampling distribution of p show that as the sample size is increasing the distribution is approximated by the normal distribution.

Answer: 12/4 or 3

Step-by-step explanation: Switch the numerator and denominator. This should leave you with the answer above.

Answer:

12/4 = 3/1 = 3

Step-by-step explanation:

To find the reciprocal of a fraction, flip it.

The reciprocal of 4/12 is 12/4 which reduces to 3.

Answer:

450 Is the maximum height.

Step-by-step explanation:

Use x=-b/(2a) to get your answer.

Answer:

(4, 7)

Step-by-step explanation:

Given that:

Midpoint of AB = M(3, 3)

Coordinate of A = (2, - 1)

Let coordinates of B = (x, y)

Recall :

Midpoint of AB = [(Ax + Bx) / 2, (Ay + By) / 2]

Mx = (Ax + Bx) / 2

My = (Ay + By) / 2

Mx = 3

Mx = (Ax + Bx) / 2

3 = (2 + x) / 2

2*3 = 2 + x

6 = 2 + x

6 - 2 = x

4 = x

My = 3

My = (Ay + By) / 2

3 = (-1 + y) / 2

2*3 = - 1 + y

6 = - 1 + y

6 + 1 = y

7 = y

Hence,

B = (4, 7)

Answer:

0.36

Step-by-step explanation:

0.45 x 0.80

= 0.36

Answer:

q = -12

Step-by-step explanation:

-9 - 11 can be written as -9 + (-11)

-20 = 2q + 4

Subtract 4 from both sides.

-24 = 2q

Divide both sides by 2

-12 = q

Hope I helped :)

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