The purple shape is a dilation of the black shape. What is the scale factor of the dilation?

After solving the equation, the value obtained for x will be equal to -17/5.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given statement in the question,

The equation for the given statement will be,

(4x + 1)/3 = (x - 5)/2

8x + 2 = 3x - 15

8x - 3x = -15 - 2

Solve the equation for x.

5x = -17

x = -17/5

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Answer:

 {x,y,z} = {2,-8,5} 

i had this question before

Since the measure of angle DOC = 44 degrees and it's the central angle of arc DC, the measure of arc DC = 44 degrees

Answer:

7, 11, 15, 19

Step-by-step explanation:

Using the recursive rule with f(1) = 7 , then

f(2) = f(1) + 4 = 7 + 4 = 11

f(3) = f(2) + 4 = 11 + 4 = 15

f(4) = f(3) + 4 = 15 + 4 = 19

The first 4 terms are 7, 11, 15, 19

Answer:

Plato sample answer:

Answer:

Step-by-step explanation:

Answer:

27.5 is the answer good luck

Step-by-step explanation:

good luck my G

Answer:

The Answer to 17 1/3 x 8 is 138.67

There is not enough context to answer the second question.

Answer:

$34.78

Step-by-step explanation:

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

Answer:

Proper Subsets = 1023

Step-by-step explanation:

Given[tex]W= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}[/tex]

Required

Determine the proper subsets

Proper Subset (P) is calculated using;

[tex]P = 2^n - 1[/tex]

Where

[tex]n = number\ of\ elements[/tex]

In this case;

[tex]n = 10[/tex]

So:

[tex]P = 2^n - 1[/tex]

[tex]P = 2^{10} - 1[/tex]

[tex]P = 1024 - 1[/tex]

[tex]P = 1023[/tex]

Hence;

Proper Subsets = 1023

Answer:

1024

Step-by-step explanation:

Given :

New York City has a population of 8.55 million and 300 square mile area .

Manhattan has 1.64 million and 23 square miles area .

To Find :

How much greater is the population density of Manhattan than New York City.

Solution :

Population density of New York City :

[tex]D_{NY}=\dfrac{8.55}{300}=0.029 \ million/mile^2\\\\D_{M}=\dfrac{1.64}{23}=0.071 \ million/mile^2[/tex]

Now ,

[tex]D_{M}-D_{NY}\\\\(0.071-0.029)=0.042\ million/miles^2[/tex]

Therefore , population density of Manhattan is [tex]0.042\ million/miles^2[/tex] greater than New York City .

Hence , this is the required solution .

Answer:

The answer is -2.066 rounded up from the thousandths

Step-by-step explanation:

It is a bit difficult to divide by such an exact value, but I hope this helps!

Answer:x=3

Given: angle B = angle D

So, 8x-4=2x+14

8x-2x=14+4

6x=18

Therefore, x=3

Answer:

x = 18

Step-by-step explanation:

4x+4(x-6)=3(2x+4)

distribute

4x+4x-24=6x+12

combine like terms

8x-24=6x+12

carry across equal sign

2x-24=12

carry across equal sign

2x=36

divide

x=18

Answer:

X = 18

Step-by-step explanation:

4x + 4(x -6) = 3(2x + 4)

4x + 4x -24 = 6x + 12

8x -24 = 6x + 12

    +24         +24

8x = 6x + 36

-6x   -6x

2x = 36

Divide 2x and 36 by 2

X = 18

Answer:

1foot(ft.)1yard(yd.)1mile(mi.)===12inches(in.)3feet(ft.)5,280feet(ft.)

Step-by-step explanation:

Answer:

d = [tex]\sqrt{34}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(9-6)^2+(6-1)^2}\\d= \sqrt{(3)^2+(5)^2}\\d= \sqrt{9+25}\\d= \sqrt{34}[/tex]

Answer:

0

Step-by-step explanation:

m=[-4-(-4)]÷[15-6]=0

Answer:

[tex](5p^2+3)(p-2)[/tex]

Step-by-step explanation:

In this problem, we need to write the factor form of expression [tex]5p^3-10p^2+3p-6[/tex].

It can be done as follows :

[tex]5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)[/tex]

Taking common form the terms as follows :

[tex]=p(5p^2+3)-2(5p^2+3)[/tex]

It can be also written as :

[tex]=(5p^2+3)(p-2)[/tex]

Hence, the factored form of [tex]5p^3-10p^2+3p-6[/tex] is [tex](5p^2+3)(p-2)[/tex]

Answer:  (p-2)(5p^2+3)

Step-by-step explanation:

I GOT THIS RIGHT!

Answer:

y = -7x + 11

Explanation:

Just get y by itself. Subtract 7x from both sides. Substitute in each x value individually to get the next answers, which will be 25, 11, and -10.

Answer:

Yes

Step-by-step explanation:

I had this same question on a quiz and it is correct!

The square root of a number is equal to another number that when squared is equal to the original number.

Now we want to see if Is it true that square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol, and we will see that yes, this is true.

To see that this is true:

For example, if the A and B are two numbers larger than 0, such that:

A > B

Then:

√A > √B

For example let's use A = 9 and B = 4.

9 > 4

And obviously the roots are:

√9 > √4

3 > 2

So yes, we can compare and order square roots by comparing the numbers inside of it.

If you want to learn more, you can read:

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Answer:

13, 39

Step-by-step explanation:

H +J =52

H=3J

3J +J=52

4J=52

J=52 :4 =13 (Jane is 13

H =3 ×13 =39 (Harvey is 36

Answer:

Im not sure but lets play warzone

Step-by-step explanation:

Answer:

80 miles per an hour

Step-by-step explanation:

400 divided by 5 equals= 80 so 80miles = 1 hour

Answer:

80 miles per hour.

Step-by-step explanation:

Start with the speed formula.

[tex]speed=\frac{distance}{time}[/tex]

In this scenario, the distance is [tex]400[/tex] miles, and the time is [tex]5[/tex] hours.

Substitute:

[tex]speed=\frac{400}{5}[/tex]

Divide.

[tex]400[/tex] ÷ [tex]5[/tex]

Solve:

[tex]400[/tex] ÷ [tex]5=80[/tex]

Answer:

square root of a plus 3

Step-by-step explanation:

The first tank contains

486 gal - (4 gal/week) t

gal of water after t weeks.

Similarly, the second tank contains

648 gal - (7 gal/week) t

gal of water.

The tanks hold the same amount of water when these two amounts are equal:

486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t

(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal

(3 gal/week) t = 162 gal

t = (162 gal) / (3 gal/week)

t = 54 weeks

Answer: Commutative Property of Multiplication/Addition

Step-by-step explanation:

The commutative property is simple

x + y = y + x

or for multiplication

x * y = y * x

Answer: 7

pounds for 3.15 is a better option

Step-by-step explanation:

Here in this question, we want to know which of the two options is a better option for buying crickets.

To know the better option, we shall be needing the unit price in whatever system to be used;

7 pounds of crickets for 3.15;

so the unit price here will be 3.15/7 = 0.45 per pound

For the second system, we have 3 pounds for 1.47 so the unit price will be 1.47/3 = 0.49 per pound

As we can see, the first option commands a cheaper price per unit, so it is the better option to buy