What is the value of 4x-7 when x = 4?
O 1
09
O 16
23

Addition Property of Equality is basically a complex way of saying add the same number to both sides.  In this problem we are trying to isolate x for it to be by itself so we must deal with -6.  Since we have -6 on one side we must use the "Addition Property of Equality" to add 6 to both sides which would cancel out the -6 and add 6 to 14.

Therefore, the option that best fits the description on what number we would have to use to get added in the equation would be option D, 6.

Answer:

4:12pm

Step-by-step explanation:

85 minutes = 1 hour and 25 minutes

2:47pm  + 1 hour 25 minutes = 3:72 pm

72 minutes = 1 hour 12 minutes so add another 1 hour to 3 and the balance is 12 minutes so walk ends at 4:12pm

Another way to look at it is as follows:
After 13 minutes, the time is 2:47 + 0:13 = 3pm

Remaining time left is 85-13 = 72 minutes = 1 hour: 12 minutes. Add that to 3pm and you get 4:12pm

Answer:

Answer = most college students do not use students loans.

Step-by-step explanation:

To find the percentage of students taking out student loans we take 1,000/6000 to get roughly 17%. This is a very small number of students taking out student loans.

An equation that can be used to determine how much each cookie cost originally is ($13.32 + $7) / 16.

A coupon reduces the price of an item. Thus, the amount paid by Louis would be lower than the original price.

Original price = coupon + price paid

($13.32 + $7)

The cost per cookie, can be determined by dividing the original price by the total number of cookies bought.

($13.32 + $7) / 16

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Answer:

Step-by-step explanation:

Givens

Number of cookies = 16

Deduction =  7

Final Cost = 13.31

Equation

16c - 7 = 13.31

Solution

You are not asked for a solution but I'll put it here anyway.

16c - 7 = 13.32                      Add 7 to both sides

16c -7+7 = 13.32+ 7              Combine

16c = 20.32                          Divide by 16

16c/16 =  20.32/16                

c = 1.27

The first option, “yes, the conditions for inference are met” is correct.

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

Lets you're conducting an experiment on the honesty of a random sample of 50 persons. A total of 42 adults were assessed to be trustworthy.

It has to be determined whether the conditions of inference are satisfied.

A) The randomness of the sample.

The sample is given to be randomly selected. So, this condition is satisfied.

B) The number of success and failures must be at least 10.

The success rate is 0.80, and the sample size is 50. As a result, the following conditions must be met:

[tex]\rm n_p\geq 10 \ and \ n\left ( 1-p \right )\geq 10[/tex]

[tex]\rm 50\left ( 0.80 \right )=40 > 10[/tex]

[tex]\rm 50\left ( 1-0.80 \right )=10=10[/tex]

As a result, the sample size is sufficient, and the big numbers requirement is met.

C) 10% condition:

The sample size is modest, at 50 people, and hence represents less than 10% of the population.

As a result, the inference requirements are met.

Thus, the first option “yes, the conditions for inference are met” is correct.

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Answer:

[tex]\text{1st term} = 3\\\\\text{Common ratio} = 2[/tex]

Step by step explanation:

[tex]\text{Given that,}\\\\\text{5th term} = ar^{5-1} = ar^4 = 48~~~~~~~~...(i)\\ \\\text{8th term} = ar^{8-1} = ar^7 = 384~~~~~~~...(ii)\\\\\text{1st term,}~ a = ?\\\\\text{Common ratio,}~ r = ?\\\\(ii) \div (i):\\\\~~~~~~\dfrac{ar^7}{ar^4}=\dfrac{384}{48}\\\\\implies r^{7-4} = 8\\\\\implies r^3 = 8\\\\\implies r^3 = 2^3\\\\\implies r =2\\\\\text{Substitute r = 2 in eq (i):}\\\\~~~~~~a\cdot 2^4 = 48\\\\\implies 16a =48\\\\\implies a = \dfrac{48}{16}\\\\\implies a = 3\\[/tex]

Answer: I think the answer is A (4,6)

Step-by-step explanation:

Because point B is translated up you have to move the whole shape and pint D would end up at (4,6)

Answer:

Total area = 187.65 cm^2

Step-by-step explanation:

AREA of a triangle = 1/2 base * height

THREE sides    3     * 1/2 *9 *  11.3  = 152.55 cm^2

Bottom                       1/2 * 9 * 7.8  = 35.1 cm^2

  total = 187.65  cm^2

Answer:

See below

Step-by-step explanation:

Sine function would be easiest

  in a right triangle   sin = opposite leg / hypotenuse

sin 57 =   10.8 / x    

then   x = 10.8 / sin 57               then x = 12.88 units

Answer:

x=30

Step-by-step explanation:

You have to use intercept theorem, also known as Thales's theorem to slvoe this.

Answer:

the second option is correct.

Step-by-step explanation:

that is the solution above.

Answer:

slope = - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are

(4, 6 ) and (- 2, 8 )

calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )

m = [tex]\frac{8-6}{-2-4}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]

Answer:

Step-by-step explanation:

P(A∪B) = 1/6 + 1/2 = 2/3

Answer:

z = 10

Step-by-step explanation:

First apply multiplication to inside the parenthesis:

2(z+5) = 2z + 10

5(z+ 2) = 5z + 10

10(z − 1) = 10z - 10 now write the full equation

2z + 10 + 5z + 10 = 10z - 10 add like terms

7z + 20 = 10z - 10 transfer like terms to the same side of the equation

20 + 10 = 10z - 7z

30 = 3z divide both sides by 3

10 = z

The set of ordered pair that has point symmetry in respect to origin is (5, 4), (-5, -4).

This is a term that is used to refer to the points that are on the same distance from the origin but are on opposite sides.

The line that connects the points are known to move through the origin such that when measured on the graph, the distances between these points but they are opposite because they are in negatives and positives on the two sides.

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Answer:

the answer is (5,4),(-5,4)

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

P (first red) :

⇒ Original number of red balls / Total

⇒ 4 / 10

⇒ 0.4

⇒ 40%

===============================================================

Remember the first ball drawn is NOT replaced.

P (second red) :

⇒ Original number of red - 1 / Total - 1

⇒ 4 - 1 / 10 - 1

⇒ 3/9

⇒ 33%

The results of factoring are presented below for each algebraic expression.

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: y²-y= y(y-1), where y is a common term.

You should apply the factor out a common term for solving the question.

       x(x+2) + y (x + 2) - 5(x + 2)

       x²+2x+xy+2y-5x-10

      x²-3x+xy+2y-10

      x(x-3)+y(x+2)-10

        [tex]5y^2 - 10y^3[/tex]

        5y²(1-2y)

        ax+ay+az

        a(x+y+z)

        yx(y+1) + 4x(y + 1) - 5(y + 1)

       xy²+xy+4xy+4-5y-5

       xy²+5xy-1-5y

       y(xy +5x-5)-1

        [tex]6p^2 - 3p^3[/tex]

       3p²(2-p)

        [tex]4x^4 + 2x[/tex]

        [tex]2x(2x^3+1)[/tex]

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An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given 40 positive tiles are broken up into 10 groups of 4 positive tiles. The expression that represents this situation is 40 divided by 10.

Hence, the correct option is B.

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Answer:

b

Step-by-step explanation:

Answer:

[tex]ax^5+ by^5=241[/tex]

Step-by-step explanation:

Given:

We can re-write the left sides of the given equations as follows:

[tex]ax^2+ by^2=(ax+by)(x+y)-xy(a+b)[/tex]

[tex]ax^3+ by^3=(ax^2+by^2)(x+y)-xy(ax+by)[/tex]

[tex]ax^4+ by^4=(ax^3+by^3)(x+y)-xy(ax^2+by^2)[/tex]

Therefore, following this pattern:

[tex]ax^5+ by^5=(ax^4+by^4)(x+y)-xy(ax^3+by^3)[/tex]

Use the given values and the expanded expressions to create 2 equations to help find the values of (x+y) and xy:

Equation 1

[tex]ax^3+ by^3=(ax^2+by^2)(x+y)-xy(ax+by)[/tex]

[tex]\implies 25=11(x+y)-xy(1)[/tex]

[tex]\implies 25=11(x+y)-xy[/tex]

Equation 2

[tex]ax^4+ by^4=(ax^3+by^3)(x+y)-xy(ax^2+by^2)[/tex]

[tex]\implies 83=25(x+y)-xy(11)[/tex]

[tex]\implies 83=25(x+y)-11xy[/tex]

Multiply Equation 1 by 11:

[tex]\implies 275=121(x+y)-11xy[/tex]

Then subtract Equation 2 from this to eliminate 11xy and find the value of (x+y):

[tex]\implies 192=96(x+y)[/tex]

[tex]\implies (x+y)=2[/tex]

Multiply Equation 1 by 25:

[tex]\implies 625=275(x+y)-25xy[/tex]

Multiply Equation 2 by 11:

[tex]\implies 913=275(x+y)-121xy[/tex]

Subtract the 2nd from the 1st to eliminate 275(x+y) and find the value of xy:

[tex]\implies 288=-96xy[/tex]

[tex]\implies xy=-3[/tex]

Therefore, we now have:

Substitute these into the equation for ax⁵ + by⁵ and solve:

[tex]\implies ax^5+ by^5=(ax^4+by^4)(x+y)-xy(ax^3+by^3)[/tex]

[tex]\implies ax^5+ by^5=(83)(2)-(-3)(25)[/tex]

[tex]\implies ax^5+ by^5=166+75[/tex]

[tex]\implies ax^5+ by^5=241[/tex]

The input value of the function h(-7) for h(x) = 5.7 - 19x is -26.6.

We are given the function;

h(x) = 5.7 - 19x

Thus;

h(-7) = 5.7 - 19(1.7)

h(-7) = 5.7 - 32.3

h(-7) = -26.6

Thus, we conclude that the input value of the function h(-7) is -26.6.

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Answer:

Step-by-step explanation:

If you use the formula [tex]m = \frac{y2 - y1} {x2 - x1}[/tex] with x1 being 7, y1 being 0, -5 being x2 and 5 being y2, then you can subtract. 5(y2) minus 0(y1) is 5, and -5(x2) minus 7(x1) is -12. The formula would look like this: [tex]m = \frac{5 - 0}{-5 - 7} \frac{5}{-12}[/tex].

(tip: you need to do rise over run, aka y over x, shown as [tex]\frac{y}{x}[/tex] or [tex]\frac{rise}{run}[/tex])

I hope I helped you answer your question, and helped better understand it as well

Answer: pi/4 and -1

Step-by-step explanation:

Step-by-step explanation:

y + 1 = 2(x + 5) = 2x + 10

y - 9 = 2x

2x - y = -9

Answer:

171

Step-by-step explanation:

180×95/100

180×95=17100

17100/100=171.

That is how I got my answer.

Any time we have a single positive tile pair up with a single negative tile, those two tiles cancel out.

Three positive tiles and three negative tiles will pair up and cancel out. We're left with two positive tiles only. This represents the number 2.

In other words, 5 + (-3) = 5 - 3 = 2

The linear function that has a graph perpendicular to y = 2x – 4 is given by:

D. 2x + 4y = 1

A linear function is modeled by:

y = mx + b

In which:

If two lines are perpendicular, the multiplication of their slopes is of -1. The line y = 2x + 4 as a slope of 2, hence the slope of the perpendicular line will be given by m as such:

[tex]2m = -1[/tex]

[tex]m = -\frac{1}{2} = -0.5[/tex]

Hence option D is correct, as:

2x + 4y = 1

4y = -2x + 1

y = -0.5x + 0.25

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By taking a quotient between the number of packages and the rate at which James works, we conclude that he will need 467 hours.

We know that James wraps at a rate of 8 packages in one hour. Then to get the time in which he can wrap a number N of packages, we need to take the quotient between N and 8.

In this case, N = 3,736.

Taking the quotient we get:

3,736/8 = 467

This means that in 467 hours he will wrap the 3,736 packages.

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