A fudge company makes 4 pounds of fudge. A worker separates the fudge into packages of ¼ of a pound of fudge each. How many packages does he make?

A 1/16

B 1

C 8

D 16

Answer:

1) x = 3/2  2)  x = 6  3) x = 3

Step-by-step explanation:

For Number 1:

4(x+8)−4=34

Step 1: Simplify both sides of the equation.

4(x+8)−4=34

(4)(x)+(4)(8)+−4=34(Distribute)

4x+32+−4=34

(4x)+(32+−4)=34(Combine Like Terms)

4x+28=34

Step 2: Subtract 28 from both sides.

4x=6

Step 3: Divide both sides by 4.

4x/4 = 6/4

x = 3/2

For Number 2:

2/3(9+x)=−5(4−x)

Step 1: Simplify both sides of the equation.

6 + 2/3x = −20+5x

Step 2: Subtract 5x from both sides.

−13 /3 x+6=−20

Step 3: Subtract 6 from both sides.

-13/3x = -26

Step 4: Multiply both sides by 3/(-13)

x = 6

For Number 3:

−3(x+4)+15=6−4x

Step 1: Simplify both sides of the equation.

−3(x+4)+15=6−4x

(−3)(x)+(−3)(4)+15=6+−4x(Distribute)

−3x+−12+15=6+−4x

(−3x)+(−12+15)=−4x+6(Combine Like Terms)

−3x+3=−4x+6

−3x+3=−4x+6

Step 2: Add 4x to both sides.

−3x+3+4x=−4x+6+4x

x+3=6

Step 3: Subtract 3 from both sides.

x+3−3=6−3

x = 3

9514 1404 393

Answer:

  (5.5, 4.5)

Step-by-step explanation:

The midpoint coordinates are the average of the end point coordinates.

  ((0, 0) +(11, 9))/2 = (11, 9)/2 = (5.5, 4.5) . . . midpoint

Answer:

C

Step-by-step explanation:

Answer:13

Step-by-step explanation:

Answer:

Add 10 to three times  the value of x minus 7.

Step-by-step explanation:

Answer:

Three times the difference of X and seven plus ten

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Complete Question

Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89 z. Assume that the conditions for inference were met.calculate the p-value for Ellie's significance test

Answer:

The p-value is  [tex]p-value  = 0.0588[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of senior citizens is  p =  0.10  

   The sample size is  [tex]n  =  225[/tex]

   The  sample proportion is  [tex]\^{p} =  0.14[/tex]

   The test statistics is  [tex] z \approx =   1.89[/tex]

The null hypothesis  is  [tex]H_o  :  p = 0.10[/tex]

The alternative hypothesis is   [tex]H_a  :  p \ne 0.10[/tex]

   Generally the p-value is mathematically represented as

       [tex]p-value  =  2 *  P(Z > 1.89 )[/tex]

From the z-table  

       [tex]P(Z > 1.89 )  =   0.029379[/tex]

=>     [tex]p-value  =  2 *   0.029379[/tex]

=>     [tex]p-value  = 0.0588[/tex]

Answer:

No because 0.06>0.05

Step-by-step explanation:

kahn

Answer:

M=[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

M=[tex]\frac{rise}{run}[/tex]

From left to right, the line goes down. Therefore, it is a negative slope.

[tex]-\frac{3}{4}[/tex]

9514 1404 393

Answer:

  £612

Step-by-step explanation:

If Brian wants to add 80% of the cost to the cost, the selling price will be ...

  £340(100% +80%) = £340·1.80 = £612

Brian May should ask £612 for the guitar.

Answer:

30

Step-by-step explanation:

Answer:

C

<$&#&#;#;#;#;#

Step-by-step explanation:

1/4= 4x6=24

Answer:

C

Step-by-step explanation:

Answer:

2/6

1/3 simplified

Rise over run

choose any two points on the graph and do rise over run

Answer:

Step-by-step explanation:

1 pair of wings = 3/4 yard fabric

We know that 1 yard of fabric = $8

1 pair of wings = $8 x 3/4 = $6

Therefore total cost = $6 x 13 = $78

The total cost of the fabric is $ 78

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of pairs of butterfly wings = 13 pairs

The amount of fabric used in 1 pair of butterfly wings = 3/4 yards

The cost of 1 yard of fabric = $ 8

Now , the equation will be

The cost of 3/4 yard of fabric = 3/4 x cost of 1 yard of fabric

                                                = 3/4 x 8

                                                = 3 x 2

                                                = $ 6

Now , the equation is

The total cost of fabric for 13 pairs of butterfly wings =
13 x cost of 3/4 yard of fabric

The total cost of fabric for 13 pairs of butterfly wings = 13 x 6

                                                                                       = $ 78

Therefore , the cost is $ 78

Hence , The total cost of the fabric is $ 78

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Answer:

The answer is D

Step-by-step explanation:

Answer:

D. The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.

Step-by-step explanation:

Answer:

1st table: Not a function

2nd table: Function

3rd table: Not a function

4th table: Function

Step-by-step explanation:

The functions pass the verticle line test

meaning, there is only one x value for any y value

Answer:

A polynomial function of degree 3 with real coefficients and the numbers 6 and i 3 as some of its zeroes is [tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex].

Step-by-step explanation:

A third-order polynomial in standard form is a sum of monomials with natural exponentials such that greatest degree of monomials is 3. This kind of polynomials is described by this definition:

[tex]p_{3}(x) =\Sigma\limits_{i=0}^{3} c_{i} \cdot x^{i}[/tex] (Eq. 1)

Where:

[tex]i[/tex] - Index of a sum component, dimensionless.

[tex]c_{i}[/tex] - i-th coefficient, dimensionless.

Where the highest value of [tex]i[/tex] is the degree of the polynomial.

In addition, the Fundamental Theorem establishes that all polynomials with real coefficients and degree higher than zero have a number of complex roots, an extension of the real set, equivalent to the degree of the polynomial itself.

In our case, we guarantee the existence of three complex roots, of which we know two of them: [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex]. The polynomial can be represented as a product of three binomials:

[tex]p_{3}(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3})[/tex] (Eq. 2)

Where [tex]r_{1}[/tex], [tex]r_{2}[/tex] and [tex]r_{3}[/tex] are the roots of the third order polynomial.

If we know that  [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex] and assume that [tex]r_{3} = -i\,3[/tex], the resulting polynomial is:

[tex]p_{3} (x) = (x-6)\cdot (x+i\,3)\cdot (x-i\,3)[/tex]

And by Algebra of real numbers we obtain the polynomial in its standard form:

[tex]p_{3}(x) = (x-6)\cdot (x^{2}+9)[/tex]

[tex]p_{3}(x) = x\cdot (x^{2}+9)-6\cdot (x^{2}+9)[/tex]

[tex]p_{3}(x) = x^{3}+9\cdot x -6\cdot x^{2}-54[/tex]

[tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex]

A polynomial function of degree 3 with real coefficients and the numbers 6 and i 3 as some of its zeroes is [tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex].

Answer: Is C

-8x-104=6x-14

Step-by-step explanation: I got the question right

Answer: -8x - 104= 6x - 14

Step-by-step explanation:

-8(x+13) =2(x-7) + 4x

-8x - 104 = 2X - 14 + 4x

-8x - 104 = 6x - 14

Answer:

math

Step-by-step explanation:

Answer:

588.50

Step-by-step explanation:

11.00 x 40 = 440

16.50 x 9 = 148.5

Answer:9

Step-by-step explanation:

Answer:

set A and set B...it is the best and right option bro...option c is wrong because 2 elements of domain has relation with 1 range

Answer:

i can't graph it but i'll give you the points to graph

Step-by-step explanation:

(-2, -5) (-1,-2) (0,1) (1,4) (2,7)

start at the point in bold

Answer:

0.25

Step-by-step explanation:

(76-74)/8

=2/8

=1/4

=0.25

rearrange the equation, so it would be y = -x+2

you want to give it into a y=mx+b form

Answer:

can I have more info plz

Answer: c

Step-by-step explanation:

The correct statement is that g(x) is a function because f(x) is one-to-one.

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

We know a function f(x) has its inverse g(x) if and only if f(x) is a one-to-one function.

From the given statements the only true statement is, g(x) is a function because f(x) is one-to-one.

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Complete question :

For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

a. P(X < 66)

b. P(X < 23)

c. P(X = 66)

Answer:

P(X < 66) = 0.86

P(X < 23) = 0.61

P(X = 66) = 0

Step-by-step explanation:

Given that:

X, P(23 ≤ X ≤ 66) = 0.25 and

P(X > 66) = 0.14 ;

Recall:

P(x ≤ a) + p(x ≥ a) = 1

Then ; P(X < 0.66) = 1 - 0.14 = 0.86

Hence,

P(X < 0.66) = 0.86

P(23 ≤ X ≤ 66) = 0.25

P(X < 66) = 0.86

Hence,

P(X < 23) = 0.86 - 0.25 = 0.61

Probability that a continuous random variable is exactly equal to a particular number equals 0

Hence,

P(X = 66) = 0

Answer:

See referenced question

Step-by-step explanation:

Refer to this answer:

Attached is the question in original form

Answer:

Look at step-by-step explanation

Step-by-step explanation:

Work on the second equation first.

x + 5 = 40

Get all variables on one side:

x = 35

You now have the answer for the variable of x, use this on the first equation:

2x-4y=10

2(35)-4y=10

Subtract 70 from both sides:

70-4y=10

Divide both sides by neagtive 4:

-4y=-60

y=15

Answer:

91/4 as a fraction, 22.75 as a decimal

Step-by-step explanation:

(-51/4) - (-71/2)

=

(-51/4) + (71/2)

=

(-51/4) + (142/4)

=

(-51+142/4)

=91/4

Your answer is 91/4. The decimal version is 22.75. Hope this helps :)

Answer:

47.42

Step-by-step explanation:

Try solving this way

 23.85

+07.42

+16.16

=======

47.42