Suppose point P(4, -9) is translated according to the rule (x,y)→(x+3,y-2). What are the coordinates of P'? Explain.

Answer:

Fred is 31 years old and Natalie is 14 years old.

Step-by-step explanation:

Given:

If you add Natalie's age and Fred's age, the result is 45.

If you add Fred's age to 3 times Natalie's age, the result is 73.

Now, to find the age of Fred and Natalie.

Let the age of Fred be [tex]x.[/tex]

And the age of Natalie be [tex]y.[/tex]

As, given If you add Natalie's age and Fred's age, the result is 45.

[tex]x+y=45[/tex]    ......(1)

Now, if you add Fred's age to 3 times Natalie's age, the result is 73.

[tex]x+3y=73[/tex]   ......(2)

So, to solve the equations by using elimination method.

Now, subtracting both the equations (1) and (2):

[tex]x+y-(x+3y)=45-73[/tex]

[tex]x+y-x-3y=-28[/tex]

[tex]-2y=-28[/tex]

Dividing both sides by -2 we get:

[tex]y=14.[/tex]

Natalie's age = 14 years.

Now, to get the age of Fred by substituting the value of [tex]y[/tex] in equation (1):

[tex]x+y=45\\\\x+14=45[/tex]

Subtracting both sides by 14 we get:

[tex]x=31.[/tex]

Fred age = 31 years.

Therefore, Fred is 31 years old and Natalie is 14 years old.

Answer:

22

Step-by-step explanation:

Answer:

Apply the distributive property.

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Step-by-step explanation:

Answer:

Judy

Step-by-step explanation:

Answer: (-4,-3)

Step-by-step explanation:

In USA test prep

Answer:

Anya spend the most money

Number of adults = 264

Number of children= 127

Step-by-step explanation:

Let the number of adults be......x

Let the number of children be.....y

The total number of people that used the public swimming pool is given as 391. This means

x+y=391

The total cost per the receipt is : $752.75

This means, 2.25 x+ 1.25 y = 752.75

The two equations are;

x+y=391  ...........(i)

2.25 x+ 1.25 y = 752.75...........(ii)

Making the x variable equal to eliminate x

2.25x + 2.25 y = 879.75

2.25x + 1.25 y = 752.75

Apply subtraction as

1.00 y = 127.00

y=127

Use the value of y in equation (i)

x+y=391

x+127=391

x=391-127=264

Number of adults = 264

Number of children= 127

Learn More

Simultaneous equations: https://brainly.com/question/12318095

Keywords ; public, swiming pool, prices, daily, adults, children, receipt, admission

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Answer:

0.1302 or 13.02%

Step-by-step explanation:

So we know that 31% of the Dalmatians are blue eyed so that is 0.31. We also know that 42% of blue eyed Dalmatians are deaf so that is 0.42.

To find the probability of a blue eyed deaf Dalmatian we need 42% of 31%, so we need to do:

0.42 × 0.31 = 0.1302 or 13.02%

Answer:

C. I and II only

Step-by-step explanation:

Measures of center are mean median and mode. IQR is a range and therefore would not bring you to one number near the "center" of the data.

The step-by-step solution shows that the number close to 289 when multiplied by 8 is approximately 36.125. Multiplying 36 by 8 gives 288, which is close to 289.

To find the number which, when multiplied by 8, gives a value close to 289, we can set up the equation:

8x ≈ 289

To solve for x, we divide 289 by 8:

Performing the division:

So, 8 times approximately 36.125 equals close to 289. Therefore, the nearest whole number would be 36, since 8 * 36 = 288, which is close to 289.

The step-by-step solution shows that the number close to 289 when multiplied by 8 is approximately 36.125. Multiplying 36 by 8 gives 288, which is close to 289.

A. Inverse

Basically, inverse Property of Addition states that if you add any number added to its opposite the result will be equal zero. So, here we have the following equation:

[tex]x + 12 = 47[/tex]

Adding -12 to both sides we get:

[tex]x + 12 - 12= 47-12 \\ \\ \\ But \ 12+(-12)=0 \\ \\ \\ So: \\ \\ x + 0= 35 \\ \\ Finally: \\ \\ \boxed{x=35}[/tex]

Distributive property: https://brainly.com/question/12256474

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Answer:

A. Inverse

Step-by-step explanation:

The given equation is [tex]x+12=47[/tex]

To solve this equation, we use the inverse property of addition.

We add the additive inverse of 12 to both sides to get:

[tex]x+12-12=47-12[/tex]

We then simplify to obtain:

[tex]x+0=35[/tex]

This gives us  x=35.

The correct answer is A

Answer:

C) 2x+3y=18

Step-by-step explanation:

y=-2/3x+6

y-(-2/3x)=6

y+2/3x=6

2/3x+y=6

3(2/3x+y)=3(6)

6/3x+3y=18

2x+3y=18

The given values for x and y are not related to a specific equation or line, so we cannot determine the x-intercept.

The x-intercept represents the point at which a line crosses the x-axis. To find the x-intercept, we need to determine the value of x when y is equal to zero. In this case, the given values for x and y are not related to a specific equation or line, so we cannot determine the x-intercept.

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Answer:

0

Step-by-step explanation:

I would say this because n is most likely equal to 0 so 6 times 0 is 0

If 5n = 0, then 6n = 0.

If 5n = 0, then substituting 0 for 5n gives 6n = 6(0) = 0. Therefore, 6n is equal to 0.

When constructing a triangle with given side lengths, the possible range for the third side can be determined by adding and subtracting the lengths of the existing sides. Side lengths of 4, 10, and 14 inches are not possible choices for the third side length.

The third side of a triangle must be less than the sum but greater than the difference of the other two sides. Given sides of 6 inches and 8 inches:

Therefore, the lengths of the sides 4, 10, and 14 inches are not possible.

Answer:

Andy had 3 apples, and his mom surprised him with x apples. His mom told him that he had 8 apples in total. As he counted the apples he found out his mom gave him 5 apples By subtracting 8 and 3.

Step-by-step explanation:

[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7}) = \frac{7-9h}{7}[/tex]

Solution:

Given expression is:

[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})[/tex]

We have to combine the like terms

From given expression,

[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})[/tex]

By distributive property,

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

a(b + c) = ab + bc

Therefore,

Solve for brackets using distributive property

[tex]\frac{1}{7} - (3 \times \frac{3}{7}h) + (3 \times \frac{2}{7})\\\\\frac{1}{7} - \frac{9h}{7} + \frac{6}{7}[/tex]

Add 1/7 and 6/7

[tex]\frac{1}{7} + \frac{6}{7} -\frac{9h}{7}\\\\\frac{1+6}{7} -\frac{9h}{7}\\\\Simplify\\\\\frac{7}{7}-\frac{9h}{7}\\\\1-\frac{9h}{7}\\\\Simplify\\\\\frac{7-9h}{7}[/tex]

Thus the equivalent expression is found

The inequality is:

[tex]70+6x\geq 150[/tex]

You must do more than 14 sales to get at least $ 150

Solution:

Given that,

As a salesperson you are paid $70 per week plus $6 per sale

Let "x" be the number of sales

This week you want your pay to be at least $150

We have to frame a inequality to represent the number of sales you need to make to achieve your goal

This week he must earn at least $ 150

Thus, he can spend $ 150 or more then 150 also

So we have to use "greater than or equal to" symbol

From given,

[tex]70 + 6(\text{number of sales})\geq 150[/tex]

[tex]70+6x\geq 150[/tex]

Thus the inequality is found

Solve the inequality

[tex]70+6x\geq 150\\\\Subtract\ 70\ from\ both\ sides\\\\6x\geq 150-70\\\\6x\geq 80\\\\Divide\ both\ sides\ by\ 6\\\\x\geq 13.3\\\\Thus\ approximately\ we\ get\\\\x\geq 14[/tex]

So he must do more than 14 sales to get at least $ 150

Answer:

86.666666 or 0.01153846153

Answer:

0.0115

Step-by-step explanation:

The complete question is given below.

Question:

Kiyo and Steven are tiling the floors in an office building. Kiyo tiled [tex]\frac{3}{6}[/tex] of the floor in  one office, and Steven tiled [tex]\frac{5}{12}[/tex] of the floor  in another office.  Write to explain how to use a benchmark  fraction to determine who tiled a greater  portion of a floor.

Answer:

Kiyo tiled a greater portion of a floor

Solution:

Kiyo tiled in one office = [tex]\frac{3}{6}[/tex]

Steven tiled in another office = [tex]\frac{5}{12}[/tex]

Bench mark fraction means comparing fractions with common fraction or number. Most probably we use [tex]\frac{1}{2}[/tex] as the common fraction.

Compare [tex]\frac{3}{6}[/tex] and [tex]\frac{5}{12}[/tex] using [tex]\frac{1}{2}[/tex]:

[tex]\frac{3}{6}[/tex] is equal to the fraction [tex]\frac{1}{2}[/tex].

[tex]$\frac{3}{6}=\frac{1}{2}[/tex]

[tex]$\frac{5}{12}<\frac{1}{2}[/tex]

[tex]$\Rightarrow\frac{5}{12}<\frac{3}{6}[/tex]

Steven tiled the floor < Kiyo tiled the floor.

Hence Kiyo tiled a greater portion of a floor.

Kiyo tiled a greater portion of the floor.

To determine who tiled a greater portion of the floor, we can use a benchmark fraction. A common benchmark fraction is 1/2. Let's compare each person's portion to this benchmark:

Kiyo tiled 3/6 of the floor. Simplifying this fraction, we get 1/2.

Steven tiled 5/12 of the floor. To compare this to 1/2, we check if 5/12 is more than or less than 6/12 (which is 1/2).

Since 5/12 is less than 6/12, Steven tiled less than half, and Kiyo tiled exactly half.

Therefore, Kiyo tiled a greater portion of the floor.

Complete question: Kiyo and Steven are tiling the floors in an office building. Kiyo tiled 3/6 of the floor in one office, and Steven tiled 5/12 of the floor in another office. Write to explain how to use a benchmark fraction to determine who tiled a greater portion of a floor. You can compare hese fractions because the floors in each office are the same size. ∩ C

Answer:

The absolute value of 13 is (-13)

Step-by-step explanation:

It just is lol

Answer: 13

Explanation: The absolute value of an integer it its distance from zero on a number line. Since 13 is 13 units from zero, the absolute value of 13 is 13.

To represent the absolute value of a number, we use a vertical bar on either side of the number so we say that |13| = 13.

I have drawn a number line and also showed you in the image attached.

Answer:

5y = -1x

Step-by-step explanation:

Those 2 expressions are equivalent, so they don't tell us anything. This means that the answer in simplest is the starting expression - 5y = -1x

Answer:

£28+£16(each half hour)

£28+£48= £76

Step-by-step explanation:

He missed one 2-point question and got everything else correct.

5 × 2 = 10

4 × 2 = 8

10 + 8 = 18

Hope this helps!

Answer:

x=6*sqrt(5)

Step-by-step explanation:

We use Pythagoras' theorem:

x^2 =6^2+(24/2)^2

x^2 =6^2+12^2

x^2 =36+144

x^2=180

x=sqrt(180)

x=sqrt(9*4*5)

x=3*2*sqrt(5)

x=6*sqrt(5)

Answer:

the function that would represent a reflection of the function y = f(x) = [tex]\frac{3}{8} \times 4^x[/tex] would be a function where x is negative, that is to say the required function which is a reflection across the y axis is given by

[tex]y = f(x) = \frac{3}{8} \times 4^{-x}[/tex]

Step-by-step explanation:

the function that would represent a reflection of the function y = f(x) = [tex]\frac{3}{8} \times 4^x[/tex] would be a function where x is negative, that is to say the required function which is a reflection across the y axis is given by

[tex]y = f(x) = \frac{3}{8} \times 4^{-x}[/tex]

Answer:

g(x) = 3/8(4)^–x

Answer:

look at the picture shown