what is the value of A in the following system of equations?

2A+3W=12
6A-5W=8

The required cost of 34 inches of wire as per the cost of 23 inches of wire is 92 cents is equals to 136 cents.

Let x be the cost (in cents) of 34 inches of wire.

We know that 23 inches of wire costs 92 cents,

Use a proportion to solve this problem,

23 inches / 92 cents = 34 inches / x cents

To solve for x, apply cross-multiply and simplify,

⇒ 23 inches × x cents = 92 cents × 34 inches

⇒ 23x = 3128

⇒ x = 3128/23

⇒ x ≈ 136.00 cents

Therefore, the cost of 34 inches of wire will be approximately 136 cents.

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Answer:

Step-by-step explanation:

Given:

Find x:

The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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1.

\((3^3+5x^2+3x-7)+(8x-6x^2+6)=\\\\=27\ \underline{+\,5x^2}\ \underline{ \underline{+\,3x}}-7\ \underline{\underline{\,+8x}}\ \underline{-\,6x^2}+6=\\\\=-x^2+11x+26\)

or if you mean (3x^3+5x^2+3x-7)+(8x-6x^2+6):

\((3x^3+5x^2+3x-7)+(8x-6x^2+6)=\\\\=3x^3\ \underline{+\,5x^2}\ \underline{ \underline{+\,3x}}-7\ \underline{\underline{\,+8x}}\ \underline{-\,6x^2}+6=\\\\=3x^3-x^2+11x-1\)

2.

\((8x-4x^2+3)-(x^3+7x^2+3x-8)=\\\\=\underline{8x}\ \underline{\underline{-\ 4x^2}}+3-x^3\ \underline{\underline{-\,7x^2}}\ \underline{-\,3x}+8=\\\\=-x^3-11x^2+5x+10\)

Answer:

C.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The answer is C.

He has 10 lb of oats. He makes 1/4 lb packages.

10 / 1/4 = 40

He can make 40 packets.

Answer: C.

Answer:

The answer should be 210 unit cubes.

Step-by-step explanation:

The volume of a rectangular prism is given by the following expression:

\(volume = length*width*height\)

In words, it is the product of its edge lengths. If the prism was packed with 210 unit cubes, then this must be equal to its volume, so by multiplying the edge lengths the result should be equal to 210 unit cubes.

Answer:

1,1.1,1.25,1.5,1.7,9

a. i. There are 27,040,000 different passwords are possible if repetition of digits and letters is allowed and passwords are not case sensitive  (so 123AB is the same as 123aB)

ii. There will be 99,532,800  different passwords are possible if repetition of digits and letters is not allowed and the passwords are case-sensitive

b. i. The probability that all 4 randomly selected students were math majors is  0.520

ii. There are 4,725 different pairs of math majors that could be chosen for the committee.

a. i) There are 10 choices for each of the first 3 digits, and 26 choices for each of the last 2 letters. Since the password is not case sensitive, we can choose either uppercase or lowercase letters, so there are 26 + 26 = 52 choices in total for each letter. Therefore, the total number of different passwords is:

10 x 10 x 10 x 52 x 52 = 27,040,000

ii) There are 10 choices for the first digit, 9 choices for the second digit (since we can't repeat the first digit), 8 choices for the third digit (since we can't repeat the first two digits), and 52 choices for the first letter. For the second letter, there are 51 choices left (since we can't repeat the first letter), but we need to distinguish between uppercase and lowercase letters, so there are 52 x 51 = 2,652 choices for the two letters in total. Therefore, the total number of different passwords is:

10 x 9 x 8 x 52 x 2,652 = 99,532,800

b) i) The total number of ways to select a 4-student committee from 20 students is:

20 choose 4 = 4,845

The number of ways to select a committee consisting of 4 math majors is:

10 choose 4 = 2,520

Therefore, the probability that all 4 randomly selected students were math majors is:

2,520 / 4,845 = 0.520

ii) The number of ways to select a 4-student committee with exactly two math majors is:

(10 choose 2) x (10 choose 2) x (15 choose 0) = 4,725

(We choose 2 math majors from 10, and 2 non-math majors from 15, since there are 5 biology majors and 5 music majors to choose from.)

Therefore, there are 4,725 different pairs of math majors that could be chosen for the committee.

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Answer:

614.5

Step-by-step explanation:

Hope this helps!

Answer:

87.9

Step-by-step explanation:

The formula for the area of a circle is pi times r to the power of two, written as πr^2. so we input our values.

πr^2

(3.14)(14^2)

(3.14)(196) ≈ 87.9

The expression of the given figure in 2 decimal point is \(3.45*10^8\)

Therefore, the expression in 2 decimal place is \(3.45*10^8\)

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Answer:

370.85

Step-by-step explanation:

20.50×10. +165.85=

Answer:

$370.85

Step-by-step explanation:

He started off with $165.85. So all we need to do is multiply $20.50 x 10 = $205. We need to add 165.85 + 205 = $370.85

So after 10 weeks there will be $370.85.

Brainliest plzzzz

The solution is Option B.

The probability of drawing a consonant is given by the equation P = 5/7

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of drawing a consonant be represented as P

Now , the equation will be

The total number of letters in the word DECIMALS = 7 letters

The total number of consonants in the word DECIMALS is given by the set A = { D , C , M , L , S }

So , the number of consonants = 5 letters

And , the probability of drawing a consonant P = total number of consonants in the word DECIMALS / total number of letters in the word DECIMALS

Substituting the values in the equation , we get

The probability of drawing a consonant P = 5/7

Hence , the probability is 5/7

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Answer:

its d

Step-by-step explanation:

-9/4= -2 1/4 and -2 1/4 is to the left of -2 so its d

Answer:

she didnt go back from 15 she went back from 20and the arrows should be going backwords not forwards

The three errors that Emily makes are: The arrows should point in the negative direction. The arrows should end on negative 15. The arrows should start at zero.

The number line is a representation of numbers on the line which can be used for different arithmetic operations such as additions, subtractions, multiplication, and division of numbers and algebraic expressions. It usually starts from the origin 0 with the positive axis in the right direction and the negative axis in the left direction.

From the given information;

-15 ÷ 5 = -3

By representing the above information on the number line, the errors that Emily make with her diagram are:

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Answer:

x = 55 degrees

Step-by-step explanation:

Angles of a triangle add up to 180 degree so we'll simply subtract the rest of the angles from 180 to get the value of x.

=> x = 180-75-50

=> x = 55 degrees

Answer:

55

Step-by-step explanation:

The sum of angles triangles will always be 180

75 + 50 is 135

180-35 = 55

Answer:

\(4(x-5)>8\)

Step-by-step explanation:

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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C. 7/2x -2.

Because slope is positive, y intercept is -2.

7/2 because if rise over run

Branliest would be appreciated if this helped

Answer:

2

Step-by-step explanation:

multiplying each number by 1/3 gives

1/3y+7/3= 3y-3

3y-1/3y=7/3+3

8/3y=16/3

y=16/3÷8/3

y=16/3×3/8

y=2

The solution of the equation 1/3(y+7)=3(y−1) will be ; y = 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the equation is 1/3(y+7)=3(y−1)

First, multiplying each number by 1/3 gives;

1/3y+7/3= 3y-3

3y-1/3y=7/3+3

8/3y=16/3

Cross multiplication;

y=16/3÷8/3

y=16/3×3/8

y=2

Therefore, the solution of the equation 1/3(y+7)=3(y−1) will be ; y = 2

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Resposta:

parece que há alguns neurônios faltando na sua cabeça pra n saber responder isso

Explicação:

você n tem neurônios

The value for Tan 2a = Cot ( a - 70) gives a= 53.33

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Tan 2a = Cot ( a - 70)

As, tan a= cot (90 - a)

So, cot (90- 2a) = Cot (a-70)

Now, comparing the angles we get

90 -2a = a - 70

90 + 70 = a + 2a

3a = 160

a = 160/3

a = 53.33

Hence, the value of a is 53.33.

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The length of the arc is subtended by the given angle in a circle with a radius of 12.49 centimeters and an angle measured as 5.9 radians is 73.931 centimeters.

The formula to find the length of an arc subtended by an angle in a circle is L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the angle measured in radians.

Substituting the given values, we have:
L = (12.49 cm)(5.9 radians)
L = 73.931 cm (rounded to three decimal places)

Therefore, the length of the arc is subtended by the given angle in a circle with a radius of 12.49 centimeters and an angle measured as 5.9 radians is 73.931 centimeters.

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1) Gathering the data

$120 (one week pass)

10% discount next week

2) Since the discount is 10% we can find the final price by setting this equation

10%= 0.1 In decimal form

P = 120 ( 1- 0.1)

P = 120(0.9)

P=108

3) So the discounted price is $108

The amount of money Rony earn in dollars will be (p/2) – 17. Then the correct option is C.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

Rony earns 17 dollars, less than half of what John earns.

If John earns p dollars.

Then the amount of money Rony earn in dollars will be

Then the expression can be written as in the mathematical form. Then we have

⇒ (p/2) – 17

Then the correct option is C.

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Hi :)

The price per share after 4 hours is $33.65.

Answer:

$33.65

Step-by-step explanation:

Answer: the answer is all real numbers

Step-by-step explanation: when you have this type of equation you would want to distribute 5 into 2 y and the -6 and 2 into 5y and -15

for more help just look up a calculator online

i noticed after a few steps you would get 10y on each side when i solved it. It gave me 0=0

there fore the numbers are equal

Answer:

3/4

Step-by-step explanation:

the numerator of slope (in this case 3) is always y because y rises. in this case, in order to get to the other plot you need to rise three times then run 4. "run" is how many it takes to get to the plot but in the x direction. for example in this case it took 3 rise and 4 run.

Answer:

I Think earthier b, or C

Step-by-step explanation: