What is the value of x in 3x+7y=27

Answers

Answer 1

Answer:

Answer:

$x = (-7y)/(3) +9$

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other side. Do the opposite of PEMDAS. Isolate the variable, x.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 7y from both sides:

3x + 7y (-7y) = 27 (-7y)

3x = -7y + 27

Next, divide 3 from all terms on both sides:

(3x)/3 = (-7y + 27)/3

x = (-7y/3) + 9

$x = (-7y)/(3) +9$

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Identify the appropriate mixed number for the picture shown.A. 11⁄2B. 2 1⁄4C. 2 1⁄2D. 3
A proposed null hypothesis states that there is no difference in the population mean heights of two neighboring districts. The difference of the sample means is 10 cm, and the standard deviation of the difference of sample means is 6 cm. Which conclusion can we draw at the 68% confidence level?

A jewelry maker will use 24 blue beads and 30 green beads to make necklaces. What are the possible number of necklaces she can make if each necklace has the same number of blue and green beads? How many of each type will be on each necklace?

Answers

Answer:

1 necklace: 24 blue, 30 green
2 necklaces: 12 blue, 15 green (each)
3 necklaces: 8 blue, 10 green (each)
6 necklaces: 4 blue, 5 green (each)

Step-by-step explanation:

The greatest common factor of 24 and 30 is 6. The divisors of 6 are 1, 2, 3, and 6. Those are the numbers of identical necklaces that might be made from the beads. The number of beads of each color is found by dividing the total number of beads by the number of necklaces being made.

The possible numbers of necklaces are 1, 2, 3 or 6.

The numbers of (blue, green) beads on each will be (24, 30), (12, 15), (8, 10), or (4, 5), respectively.

_____

The greatest common factor (GCF) is the product of the common prime factors.

24 = 2^3×3

30 = 2×3×5

The prime factors in common are 2 and 3, so the GCF is 2×3 = 6.

According to a survey, 67.5% of Californians prefer hot weather over cold weather. Let X = number of Californians in a sample of 19 who prefer hot weather over cold weather. What is the probability that at least 16 Californians prefer hot weather over cold weather? O 0.9098 O 0.0902 0.0284 0.0618

Answers

The correct option is 0.9098. The probability that at least 16 Californians prefer hot weather over cold weather is 0.9098.

According to a survey, 67.5% of Californians prefer hot weather over cold weather. Let X = number of Californians in a sample of 19 who prefer hot weather over cold weather. Then, the probability that at least 16 Californians prefer hot weather over cold weather can be calculated by using the cumulative binomial probability formula. Let X = the number of Californians in a sample of 19 who prefer hot weather over cold weather.

The formula for calculating the cumulative binomial probability is: P(X≥k) = ∑i=kn P(X=i)

In this example, k = 16, n = 19, and P(X=i) = 0.675

Therefore, P(X≥16) = ∑i=1619 P(X=i) = 0.9098

You can learn more about probability at: brainly.com/question/30034780

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In65 - lnX = 39
What does X=?

Answers

Answer:

The answer is 7.47

Step-by-step explanation:

In this problem we are going find the natural logarithmic of the numbers involved and solve for x

$ln65-Ln x= 39\n$

from tables

ln 65= 4.17

$4.17-ln x= 39\4.17-39= lnx\n-34.83=lnx\n$

taking the exponents of both sides we have

$e^-^3^4^.^8^3= x\nx= 7.47$

In Triangle ABC, which trigonometric ratio has the value a/c?A) tan A
B) cos A
C) tan C
D) cos C
E) sin C

Answers

The answer would be A) tan A, because of SOHCAHTOA (if you don't know this, it means SOH) sin=opposite/hypotenuse, CAH) cos=adjacent/hypotenuse, and TOA) tan=opposite/adjacent).

we know that

In the right triangle ABC

$sin(A)=(BC)/(AC)= (a)/(b)$

$cos(A)=(AB)/(AC)= (c)/(b)$

$tan(A)=(BC)/(AB)= (a)/(c)$

$sin(C)=(AB)/(AC)= (c)/(b)$

$cos(C)=(BC)/(AC)= (a)/(b)$

$tan(C)=(AB)/(BC)= (c)/(a)$

therefore

the answer is the option A

$tan(A)$

Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. Write a proportion that compares the sales of these two items, and find the cross products. The cross products are both equal to