What is the justification for step 2 in the solution process? 12 − x = 7x + 32 Step 1: -x = 7x + 20 Step 2: -8x = 20 A. the addition property of equality B. the division property of equality C. the subtraction property of equality D. the multiplication property of equality

Answer:

see attached picture please

Final answer:

The equation 40w + 12.50 = 492.50 best represents Nicole paying $40 per week for self-defense classes, plus a one-time registration fee of $12.50, totaling $492.50.

Explanation:

The situation best represented by the equation 40w + 12.50 = 492.50 is option A) Nicole paid $40 for self-defense classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. Here, w represents the number of weeks Nicole was enrolled in self-defense classes. The equation can be understood as follows: $40 is multiplied by the number of weeks (w), and $12.50 is added for the registration fee, summing to a total of $492.50.

Answer:

200 additional gallons of water are used when 40 people take a bath instead of a shower

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of water used when we take a bath = 20 gallons

Amount of water used when we take a shower = 15 gallons

Number of people who wants to take a bath = 40

2.  How much extra water is used?

Extra water is used = Number of people * (Amount of water used when we take a bath - Amount of water used when we take a shower)

Replacing with the real values, we have:

Extra water is used = 40 * (20 - 15)

Extra water is used = 40 * 5 = 200 gallons

Answer:

10

Step-by-step explanation:

The square length of hypotenuse is equal to two sides' length square added together

C = 10^2 + 7.5^2 = √156 approximately 12.5

The answer is 10 if needed to round to nearest tenth.

Answer:

h = -3

The value h = -3 translates the graph of the parent function [tex]y=x^2[/tex] 3 units to the left.

Step-by-step explanation:

The graph of [tex]f(x)=(x-h)^2+k[/tex] contains the points (-6, -2) and (0, -2).

This is the equation of parabola in vertex form, where [tex](h,k)[/tex] are the coordinates of the vertex.

If the graph has a vertex at [tex](h,-5),[/tex] then [tex]k=-5.[/tex]

So, the equation of the parabola is

[tex]f(x)=(x-h)^2-5[/tex]

If the graph passes through the points (0,-2) and (-6,-2) (these two points lie on the same horizontal line y = -2), then the parabola vertical line of symmetry divides the segment between these points into two congruent segments. Hence, the equation of the line of symmetry is

[tex]x=\dfrac{0+(-6)}{2}=-3[/tex]

The vertex lies on the line of symmetry, so its x-coordinate is -3. Thus, (-3,-5) is the vertex.

The value h = -3 translates the graph of the parent function [tex]y=x^2[/tex] 3 units to the left.

Answer:

Sample Response: The absolute value function is symmetric. Since the points (–6, –2) and (0, –2) have the same output, the points are the same distance from the line of symmetry. Between –6 and 0 is the value of –3. So, the vertex must have an x-coordinate of –3, which is the value of h. This would translate the graph of the parent function 3 units to the left.

Answer:

x=-5/4

Step-by-step explanation:

-2(3x+2)=2x+6

-6x-4=2x+6

-6x-2x-4=6

-8x-4=6

-8x=6+4

-8x=10

x=10/-8

x=-10/8

simplify

x=-5/4

Answer:

D

Step-by-step explanation:

its D for sure

Answer:

d

Step-by-step explanation:

46.77 feet Use the Pythagorean theorem.

Answer:

Step-by-step explanation:

y = -12x - 1

y = 14x - 4

-12x - 1 = 14x - 4

-1 + 4 = 14x + 12x

3 = 26x

3/26 = x

y = 14x - 4

y = 14(3/26) - 4

y = 42/26 - 4

y = 42/26 - 104/26

y = - 62/26 reduces to - 31/13

solution : x = 3/26 and y = -31/13 or (3/26,-31/13)

Answer:

Step-by-step explanation:

What's the question?

Step-by-step explanation:

95-a (b+c)

95-9 (3+7.4)

95-9×10.4

95-93.6

=1.4

Answer: 894.4

Step-by-step explanation:

95-9(3+7.4)

⬇️

95-9 (10.4)

⬇️

86(10.4)

⬇️

894.4

Answer:

72y

Step-by-step explanation:

Multiplication can be done in any order

8x9=72

72 times y is 72y

Answer:

I believe the answer to this question is: B.

Answer: The first part is the 2nd & 4th.

The second part is the 1st & 3rd.

Step-by-step explanation:

Edge 2021

Answer:

x=-2 OR x=-10 i.e.

Solution Set = {-2,-10}

Step-by-step explanation:

The equation described in words is typed and solved below:

[tex]3+4|\frac{x}{2}+3|=11 \\4|\frac{x}{2}+3|=11-3\\4|\frac{x}{2}+3|=8\\|\frac{x}{2}+3|=\frac{8}{4} \\|\frac{x}{2}+3|=2\\\frac{x}{2}+3=2 OR \frac{x}{2}+3=-2\\\frac{x}{2}=2-3 OR \frac{x}{2}=-2-3\\\frac{x}{2}=-1 OR \frac{x}{2}=-5\\x=-2ORx=-10\\[/tex]

Answer:

it is -10

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = A(1 - r)^t......y = value of car after t years.....A = original cost....r = rate of depreciation.....t = time in years

y = 12,282.50

A = 20,000

r = 15% = 0.15

12,282.50 = 20,000(1 - 0.15)^t

12,282.50 / 20,000 = 0.85^t

0.614125 = 0.85^t

log 0.614125 = t * (log(0.85))

t = (log 0.614125) / (log 0.85)

t = 3 <=== 3 years old

Answer:

C. 3 years

Step-by-step explanation:

I can confirm that the answer to your question is C.

Answer:

Answer D

Step-by-step explanation:

Answer:Option D

Step-by-step explanation:

Probability of more than 3 = 0.25

Solution:

Given table shows the pitches, frequency and probability of pitches.

P(x = 1) = 0.15, P(x = 2) = 0.2, P(x = 3) = 0.4, P(x = 4) = 0.15, P(x = 5) = 0.1

To find the probability that the pitcher will throw more than 3 pitches.

Probability of more than 3 pitches = P(x > 3)

                                                         = P(x = 4) + P(x = 5)

                                                         = 0.15 + 0.1

                                                         = 0.25

                                            P(x > 3) = 0.25

Hence the probability that the pitcher will throw more than 3 pitches to a batter is 0.25.

Final answer:

Probability distributions are used to assess the likelihood of different outcomes in a given set of data. To find probabilities, you need to determine the type of probability distribution and use the appropriate formulas or tables.

Explanation:

Probability distributions are used to assess the likelihood of different outcomes in a given set of data. They can take different shapes depending on the nature of the population. One common type of probability distribution is the normal distribution, which represents a bell curve.

To find probabilities using a probability distribution, you can follow these steps:

Answer:

A) 2x+50

Step-by-step explanation:

First, let's make a variable for each person

Sam = x

Hector = h

Ted = t

Gina = g

We know that Hector has twice the amount hat Sam has so his equation is

h = 2x

We know that Ted has 100 more than Hector so his equation is

t = h + 100

Gina has 50 less than Ted to she has

g = t - 50

Since we need to find out how much Gina has using units of Sam the equation will be

g = 2x + 100 - 50 or simplified g = 2x + 50

Answer:

they are similar as the enlargement has a scale factor divide it then woke it out

Answer:

Hope this helps!

Step-by-step explanation:

1. Do all of the homework. ...

2. Fight not to miss class. ...

3. Find a friend to be your study partner. ...

4. Establish a good relationship with the teacher. ...

5. Analyze and understand every mistake. ...

6. Get help fast. ...

7. Don't swallow your questions. ...

8. Basic skills are essential.

Answer:

8  1 /2

For this we need to determine what  

2 /3 of 12 3/4 is, so we multiply the fractions together.

Answer:

x=-2

Step-by-step explanation:

[tex]2(3x - 1) = 6x - 2 = 4x - 6 \\ 2x = - 4 \\ x = - 2[/tex]

Answer:

[tex]4\ sea\ urchins[/tex]

Step-by-step explanation:

The correct question is

The number of seahorses is 4 times the number of sea urchins.There are 16 seahorses write and solve and equation to find how many sea urchins are there.

Let

x ----> the number of seahorses

y ----> the number of sea urchins

we know that

The number of seahorses is 4 times the number of sea urchins

so

[tex]x=4y[/tex] -----> equation A

There are 16 seahorses

so

[tex]x=16[/tex] ----> equation B

Solve the system by substitution

substitute equation B in equation A

[tex]16=4y[/tex]

solve for y

divide by 4 both sides

[tex]y=16/4\\y=4\ sea\ urchins[/tex]

Answer:

4.

Step-by-step explanation:

if 4 is the number of Urchins 4*4 is 16 which is how many seahorses there are.

The length of diagonal of park is √200 feet.

Step-by-step explanation:

Given,

Perimeter of square playground = 40 feet

Let,

a be the length of one side.

Perimeter = 4a

[tex]4a=40\\\\a=\frac{40}{4}\\\\a=10[/tex]

Length of one side of square is 10 feet.

A diagonal will form a right triangle, where,

Diagonal = c

a = 10

b = 10

Using pythagoras theorem

[tex]a^2+b^2=c^2\\(10)^2+(10)^2=c^2\\100+100=c^2\\200=c^2\\c^2=200[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{200}\\c=\sqrt{200}[/tex] feet

The length of diagonal of park is √200 feet.

Keywords: perimeter, square

Learn more about perimeter at:

#LearnwithBrainly

Answer:

10√2 (Simplest Radical Form)

Step-by-step explanation:

While Absor201 got √200, it is still not in simplest radical form. If you got this question from MathNation, then 10√2

Answer:

x-intercept: -4

y-intercept: 2

Step-by-step explanation:

ax+by=c

divide c by a and then c by b

-3x+6y=12

X-intercept: 12/-3= -4

Y-intercept: 12/6=2

Answer:

Step-by-step explanation:

if ur gonna graph it, u should put it in y = mx + b form

-3x + 6y = 12

6y = 3x + 12

y = 3/6x + 12/6

y = 1/2x + 2

in y = mx + b form, the slope is in the m position, and the y int is in the b position.

y = mx + b

y = 1/2x + 2.....so ur slope (which will help u in graphing) is 1/2, and ur y intercept is 2 or (0,2) <===

u could also find ur y intercept by subbing in 0 for x and solving for y...in ur original equation.

to find ur x intercept, sub in 0 for y and solving for x

-3x + 6y = 12

-3x + 6(0) = 12

-3x = 12

x = -12/3

x = -4...so ur x int is -4 or (-4,0) <=====

Answer:

Step-by-step explanation:

1.3 < Length/3.5 < 2.5

4.55 < Length < 8.75

Graph:

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|                 |

|                 |

|                 |

|                 |

|                 |

| 4.55  --------  8.75  |

|                 |

|                 |

|                 |

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|-----------------|

To represent the situation algebraically, we use the equation 54 = 0.60G, and solving it gives us Noah's fundraising goal of $90.

Let's represent Noah's fundraising goal as G. According to the problem, Noah has raised $54, which is 60% of his goal. This situation can be translated into the algebraic equation:

To find Noah's fundraising goal (G), we can divide both sides of the equation by 0.60:

Therefore, Noah's fundraising goal is $90.

Answer:

x^12

Step-by-step explanation:

Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?

If the measure of an angle is 135°,

then the measure of its supplement is 45°.

We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°.

Final answer:

The measure of the supplementary angle to a 135-degree angle is 45 degrees, calculated by subtracting 135 degrees from 180 degrees.

Explanation:

The measure of an angle is 135 degrees. Supplementary angles are two angles whose measures add up to 180 degrees. To find the measure of the supplementary angle, we subtract the given angle's measure from 180 degrees. Here's the calculation:

Answer:

The equation of the line normal to the curve of y=cos1/3x, where x=pi is y= 2√3 x - 10.38

Step-by-step explanation:

The equation of the normal to the curve is

Y- y1 = - 1/m (x- x1)

Where m is the gradient.

See attached picture for the complete solution.

The equation of the line normal to the curve of y=cos(1/3)x, where x=pi, can be found by taking the negative reciprocal of the derivative of the curve at that point and using the point-slope form of a line.

The equation of the line normal to the curve of y=cos(1/3)x at x=pi can be found by taking the negative reciprocal of the derivative of the curve at that point.

The derivative of cos(1/3)x is -sin(1/3)x*(1/3).

At x=pi, the derivative is -sin(pi/3). Taking the negative reciprocal of this gives the slope of the line normal to the curve

So the slope is 1/ tan(pi/3).

Now, we can use the point-slope form of a line to find the equation of the line.

The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is the point on the line and m is the slope.

Plugging in the values, we get y - cos(pi/3) = (1/tan(pi/3))(x - pi).

Simplifying further will give us the equation of the line normal to the curve at x=pi.

Answer:

Step-by-step explanation:

10

Answer:

Step-by-step explanation:

Since 2 and 5 are co-prime then

LCM(2 , 5) = 2×5 = 10

:)