Algebra Question, please provide a step-by-step explanation.

We need to know reflection of point about axes to solve the problem. The image of B (4,0) after reflection about y-axis is (-4,0).

Reflection about an axis means finding the point on the graph that is at an equal distance from the axis on the opposite side of the reflecting surface. The reflection can be about an axis or a line or origin. When a point is reflected about the x-axis, the sign of the y-coordinate of the point changes, when a point is reflected about y-axis the sign of the x-coordinate of the point changes and when a point reflects about the origin, the sign of both the coordinates change. Here in the question we need to find the reflection of point B (4,0) about y-axis, the image of point B will be (-4,0).

Therefore the image of point B(4,0) when reflected about y-axis is (-4,0).

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A deck has a total of 52 cards.

The probability of getting a black 4 is then:

Kathy has 28 dimes, 33 quarters, and 7 nickels, for a total of 68 coins which was found by solving three simultaneous equations.

Given: Kathy possesses a total of 68 coins. She has 5 more dimes than quarters and 5 times as many nickels as quarters.

Let,

number of of coins of dimes = d

number of coins of quarters = q

number of coins of nickels = n

From the given information, we can form equations as follows:

q = 5 + d

q = 5n

d + q + n = 68

Arranging these equations,

q = 5n

d = 5n - 5

n = q/5

On solving these three equations simultaneously,

we get

d = 28

q = 33

n = 7

Therefore, Kathy has 28 dimes, 33 quarters and 7 nickels which together form 68 coins in total.

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A right triangle is made up of two legs and one hypotenuse. The two legs meet at a 90° angle, and the hypotenuse is the right triangle's longest side and the side opposite the right angle.

Therefore,

M = 30°, O = 60°, Q = 90°. Because this is a right angle triangle with angle 90°

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Using the quadratic formula, the values in the form a + bi is 1 + 4i.

So, represent in the form a + bi:

Given equation: [tex]\frac{4+\sqrt{16 - (4)(5)} }{2}[/tex]

Hence, 1 + 4i.

Therefore, using the quadratic formula, the values in the form a + bi is 1 + 4i.

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It is divided into two sections, a 57-inch piece. The length of one component is double that of the other. The length of the shortest piece wound be 29.

Given that,

It is divided into two sections, a 57-inch pipe. The length of one component is double that of the other.

We have to calculate the shorter piece's length.

Let us take the length of shortest piece as x

The length of longest piece wound be 2x

We can write as,

x+2x=57

3x=57

x=57/3

x=29

The length of largest piece will be 2×29=58

Therefore, The length of the shortest piece wound be 29.

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The measure of the angle of the roof of the model is 56 degrees.

Given:

The angle of the rook on Kaya's dollhouse is 56 degrees. She built a scale model of the dollhouse with a scale ratio of 1:4.

From the statements given:

That  a dilation is being performed that is the original figure is similar to the scale mode she made.

When two figures are similar then the angle of the two figures are same.

This means angle of the rook on Kaya's dollhouse and the built a scale model of the dollhouse with a scale ratio of 1:4 is same.

Therefore the measure of the angle of the roof of the model is 56 degrees.

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The values of the expression after each property are as follows:

For the distributive property, the outer term multiplies each of the inner terms of the expression.

In this problem, the expression is:

9(w + 5).

After the distributive property, the expression is represented as follows:

9 x w + 9 x 5 = 9w + 45.

(the outer term 9 multiplies each of the inner terms, of w and 5, and then they are added, due to the plus sign).

The commutative property of addition states that the order of the terms of the addition is not important, hence:

9w + 45 = 45 + 9w.

(the two terms just exchanged places).

The problems asks for the algebraic expression after each property is applied.

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Answer:

20x-72+25x-12x-4=33x-68

Step-by-step explanation:

5(4(x-3)+5x)-4(3x+1)

5(4x-12+5x)-12x-4

5(9x-12)-12x-4

45x-60-12x-4

45x-12x-60-4

33x-64

the opposite of -1.2 is 1.2

Answer:

1) d times c = n

2) 2A - a =b

3)  F times R2 divided by m2G = m

Step-by-step explanation:

if you know what maps are they are like a guide so the map to your first answer would be times c on both sides of the = sign

your second map would be times 2 on both sides of the = sign then to also subtract a on both sides

Answer:

the slope Is 9/7........

Answer:

x^2 + 2x - 6.

Step-by-step explanation:

(f + g)x

= f(x) + g(x)

= 2x + 1 + x^2 - 7

= x^2 + 2x - 6.

A function's "positive regions" are those times when it is above the x-axis. Y-values that are positive are where it is (not zero). The portions of a function that are below the x-axis are known as its negative regions. Where the y-values are negative is there (not zero).

The interval widens if the function's first derivative is f' (x) 0.

On the other hand, the interval is referred to as a declining interval if the value of the derivative f' (x) 0.

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The characteristics that describe the following data-set are given as follows:

Categorical and bivariate.

First, we classify the variable as either numerical or categorical, as follows:

In the context of this problem, the variables are as follows:

Thus the variable is categorical.

Additionally, there are two variables in this problem, the ones stated above, the type of service and the age, hence the data set is classified as bivariate.

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Answer:

(-3, -.5)

Step-by-step explanation:

average of 2 and -8 is -3 = x-value

average of -6 and 5 is -.5 = y-value

Step-by-step explanation:

71.5

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

There are 21 televisions.

Class 1077-1136:

The frequency is how many of them cost in this range.

There is 1.

So frequency: 1

Relative frequency is 1/21 = 0.0476

Cumulative frequency is the previous cumulative plus the relative:

Previous cumulative: 0

Relative: 0.0476

Cumulative = 0 + 0.0476 = 0.0476

Class 1137-1196:

6 in this interval.

Frequency: 6

Relative frequency: 6/21 = 0.2857

Previous cumulative: 0.0476

Relative: 0.2857

Cumulative = 0.0476 + 0.2857 = 0.3333

Class 1197-1256:

7 in this interval.

Frequency: 7

Relative frequency: 7/21 = 0.3333

Previous cumulative: 0.3333

Relative: 0.3333

Cumulative: 0.3333 + 0.3333 = 0.6666

Class 1257-1316:

2 in this interval.

Frequency: 2

Relative frequency: 2/21 = 0.0952

Previous cumulative: 0.6666

Relative: 0.0952

Cumulative: 0.6666 + 0.0952 = 0.7618

Class 1317-1376:

2 in this interval.

Frequency: 2

Relative frequency: 2/21 = 0.0952

Previous cumulative: 0.7618

Relative: 0.0952

Cumulative: 0.7618 + 0.0952 = 0.857

Class 1377-1436:

3 in this interval.

Frequency: 3

Relative frequency: 0.143

Previous cumulative: 0.857

Relative: 0.143

Cumulative: 0.857+0.143 = 1

a. n-(n - 1) = 1

b. n( n - 1) = n² - n

c. (n - 1) + n = 2n - 1

d. (n - 1) + n = 2n - 1

General Rule for Equation Solving

Given two consecutive numbers , (n - 1) , n

simplifying :

n - (n - 1)

= n -1(n - 1)

= n - n + 1

= 1

multiplying :

n( n -1)

= n² - n

simplifying :

(n-1) + n

= n - 1 + n

= 2n -1

by adding two numbers :

(n - 1) + n

= n -1 + n

= 2n - 1

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Answer:

y=90, x=56

Step-by-step explanation:

y has a 90 degree indicator, sum theory solves x

Answer:

x = 56

y = 90

Step-by-step explanation:

34 + 90 + x = 180

124 + x = 180

x = 56

y = 90

3312 seats were left at The Hobby Center which has 3,590 seats.

Subtracting from a group or a number of objects in math indicates taking something away. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. In mathematics, subtraction involves removing anything from a group or a number of objects. What is left in the group gets smaller when you subtract. The following is an illustration of a subtraction issue: 5 - 3 = 2

Given Data

The Hobby Center has 3,590 seats. On Monday, 255 of the seats were sold. On Tuesday 23 of the remaining seats were sold.

Total = 3590

On Monday = 255

On Tuesday = 23

Remaining seats = Total - seats sold

Remaining seats = 3590 - 255 - 23

Remaining seats =  3312

3312 seats were left at The Hobby Center which has 3,590 seats.

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Answer:

Y= -192

Step-by-step explanation:

-24X8= -192

I hope this helps! If you don't mind could you please mark me brainliest?

Answer:

162.5

Step-by-step explanation:

You can set up a proportion

[tex]\frac{vw}{st}[/tex] = [tex]\frac{tr}{wu}[/tex]  plug in the numbers that you know and solve for vw

[tex]\frac{vw}{65}[/tex] = [tex]\frac{40}{16}[/tex]

I would simply [tex]\frac{40}{16}[/tex]  by dividing the numerator (top) and the denominator (bottom) by 8 to get [tex]\frac{5}{2}[/tex] which would be easier to work with

[tex]\frac{vw}{65}[/tex] = [tex]\frac{5}{2}[/tex]  Cross multiply

2vw = 5(65)

2vw = 325  Divide both sides by 2

vw = 162.5

Answer:

104

Step-by-step explanation:

(-3) (-2) +98

= 6 + 98

= 104

Answer:

143

Step-by-step explanation:

divide 286 in half because 50/100 = 1/2

Hey there!

50% of 286

= 50% * 286

= 50/100 * 286/1

= 50 ÷ 50 / 100 ÷ 50 * 286/1

= 1/2 * 286/1

= 1 * 286 / 2 * 1

= 286 / 2

= 143

Therefore, your answer should be:

143

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The most appropriate choice for r=fraction is  [tex]\frac{3}{22}[/tex].

Suppose there is a collection of objects and a part of the collection are taken. Fraction represents that part of the object which are taken. In other words it can be said that fraction represents part of a whole collection of objects.

The upper part of the fraction is called numerator and the lower part of the fraction is called denominator of the fraction

Here,

Product of [tex]-\frac{1}{4}[/tex] and [tex]-\frac{6}{11}[/tex] =

[tex]-\frac{1}{4} \times -\frac{6}{11}\\= \frac{3}{22}[/tex]

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Answer:

(A) correct
(B) correct
(C) correct

Step-by-step explanation:

(A) is correct
Total survived = 713

Out of the 713 passengers who survived, the number of crew members = 215, the highest. The ratio of 215/713 is higher than any other ratio. This means 30% of those who survived were crew members. The next higher group of survivors was First Class passengers with a survival rate of 202/713 ≈ 28%

(B) is correct

There were 913 crew members. Out of this, 698 died 215 survived.
So it is more likely that given a person was a crew member, the person died than survived. That comprises 698/913 or 76% of crew members who died with only 24% survival rate

(C) is correct

There were 1516 passengers who died

Out of these, 528 + 698 = 1,226 were either third class or crew members and comprised 1226/1516 or approximately 81 percent of people who died

The function f(3) has a value of 6

The definition of the function is given as

f(n + 1) = f(n) - 2

Where

f(1) = 10

We start by substituting 1 for n in the equation f(n + 1) = f(n) - 2

So, we have

f(1 + 1) = f(1) - 2

Evaluate the like terms

So, we have

f(2) = f(1) - 2

Substitute f(1) = 10 in f(2) = f(1) - 2

f(2) = 10 - 2

Evaluate the difference

f(2) = 8

We continue by substituting 2 for n in the equation f(n + 1) = f(n) - 2

So, we have

f(2 + 1) = f(2) - 2

Evaluate the like terms

So, we have

f(3) = f(2) - 2

Substitute f(2) = 8 in f(3) = f(2) - 2

f(3) = 8 - 2

Evaluate the difference

f(3) = 6

Hence, the value of f(3) is 6

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The value of a is 30.1

The denominators of fractions must match in order to divide them. The numerators' quotient will be the quotient.

The phrase provided is,

a/12 = 30.1/12

We can directly cut the values if the denominator is the same. Since there is a 12 in the denominator on both the right and left sides in this case, remove 12 from both sides.

Thus, a = 30.1

Likewise, you can act in such manner,

a = (30.1 * 12) / 12

a = 30.1

Here, we take the right side of the left side denominator 12 and cancel 12.

Hence, A has a value of 30.1

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