identify the proportional relationship.

1. y = x + 2
2. y = -x
3. x = 2
4. y = -2x - 1

A scale factor is a factor that can be used to either increase or decrease the size of a given figure. Therefore, the scale factor of the enlargement is [tex]\frac{1}{8}[/tex].

Scale drawing is a type of drawing that requires the use of a factor to either enlarge or reduce the size of a given figure. The factor required is called a scale factor. It can be expressed as:

scale factor = [tex]\frac{length of side of image}{length of side of object}[/tex]

In the given question, the radius of the circle drawn is 3 inches, while that on the wall has a diameter of 4 feet.

Thus;

diameter of circle = 2 * 3

                             = 6 inches

But;

1 feet = 12 inches

So that;

x = 6 inches

⇒ x = [tex]\frac{6}{12}[/tex]

      = [tex]\frac{1}{2}[/tex]

x = 0.5 feet

Thus, the diameter of the circle is 0.5 feet.

So that;

scale factor = [tex]\frac{0.5 feet}{4 feet}[/tex]

                    = 0.125

scale factor = [tex]\frac{1}{8}[/tex]

The scale factor of the enlargement is [tex]\frac{1}{8}[/tex].

For more on scale factor, visit: https://brainly.com/question/10253650

[tex] \: [/tex]

the right answer is

Step-by-step explanation:

[tex]24x - 18[/tex]

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

[tex] \: [/tex]

Answer:

2. a.

3. g.

4. e.

Answer:

A. She can buy 8 pizzas; B. At least 6 pizzas.

Step-by-step explanation:

Since Grace has $105, we can set our inequality to be less than or equal to that amount of money.  We also know she needs to spend $25 on the cake no matter what.  Assuming x is the amount of pizzas she can buy and each pizza costs $9.25, our inequality looks like this:

9.25x + 25 ≤ 105

To solve this inequality, we first subtract 25 from both sides, which gives us:

9.25x ≤ 80

Then we divide by 9.25 on both sides, giving us:

x ≤ 8.6486

Since Grace is only able to buy whole pizzas, the most she can buy is 8 pizzas.

If each pizza serves 4 people and there are 22 people attending, we need to be able to feed 22 or more people.  We can use this inequality, where x is still the number of pizzas.

4x ≥ 22

Dividing both sides by 4, we get:

x ≥ 5.5

Again, assuming we can only buy whole pizzas, we would need at least 6 pizzas to feed the entire party.

Answer:

26,100

Step-by-step explanation:

[Given] 6 percent of 435000

[6% as a decimal] 0.06 of 435000

[Multiply] 26,100

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Step-by-step explanation:

can you upload diagram?

Answer:

Step-by-step explanation:

Sample One, Parts and %      Sample Two, Parts and %

 Fe    90          (90%)                           45             (90%)

   C      3           (3%)                               1.5              (3%)

Other   7            (7%)                            3.5             (7%)

          100 parts                           50 parts

Parts Fe/Parts Carbon = 90/3 or 30/1  in both cases [45/1.5 = 30/1]

 846

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

f(0)=12(9)^0

(9)^0=1

f(0)=12(1)=12

[tex]f(x) = 12 \cdot 9^x\\\\f(0) = 12 \cdot 9^0 = 12 \cdot 1 =12[/tex]

To solve this issue, first we have to match the denominators, for this we have to take the LCM from the denominators 5.6, Then just solve the fraction normally, See:

[tex]\sf \dfrac{4x}{5}+\dfrac{5x}{6}\to LMC~(5,6)=30\\\\\\\sf =\dfrac{24x}{30}+\dfrac{25x}{30}\\\\\\\sf =\dfrac{24x+25x}{30}\\\\\\\boxed{\sf \frac{49x}{30}}[/tex]

[tex]2x-5y=10\\\\\implies 5y = 2x-10\\\\\implies y =\dfrac{2x-10}5 = \dfrac{2}5 (x-5) = \dfrac{2x}5 - 2[/tex]

Answer:

(D) [tex]y = - \frac{2x}{5} - 2[/tex]

Step-by-step explanation:

The problem consist in isolate the [tex]y[/tex] variable

The steps are below:

[tex]2x -5y = 10\\-5y = 10 - 2x\\y = \frac{10 - 2x}{5}[/tex]

Know the trick is in separate the fraction in two others as this example:

[tex]\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}[/tex]

So in our case we have:

[tex]y = -\frac{10}{5} - \frac{2x}{5}\\y = -2 -\frac{2x}{5}[/tex]

That correspond to D

y < x

y < 2

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

Explanation:

The horizontal line is y = 2 since all points on this line have a y coordinate of 2. Eg: (0,2) and (5,2)

Since we shade everything below this line, we're describing the inequality y < 2. All points in the shaded region for this describe anything with a y coordinate smaller than 2. Eg: (7,1)

-------------

At the same time, we're also shading below the line y = x to form the inequality y < x.

So that's how we end up with this system

[tex]\begin{cases}y < x\\y < 2\\\end{cases}[/tex]

which describes the set of all points below the lines y = 2 and y = x. The dashed lines indicate that points on the boundary do not count as solution points. For example, (5,2) is not a solution because it rests on the upper horizontal boundary.

Answer:  rise over run

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

Explanation:

The rate of change is the same as slope. Slope is often defined as the ratio of rise over run.

In other words, slope = rise/run.

For instance, a slope of 2/3 means we go up 2 and to the right 3 units.

Another example: slope = -1/5 means we go down 1 and to the right 5.

The term "rise" indicates a change in y. The run is the change in x. If the rise is positive, then you go up. Negative rise values mean that you go down. The run always moves to the right.

Answer:

205

Step-by-step explanation:

helicopter=65m

tap of the cliff=

the boy=350m

210=

that makes the answer 205

Answer:

205 meters

Step-by-step explanation:

The cliff is 350m, and the rescue helicopter is 65m above the top of the cliff.

This means that the helicopter is 415 meters above the bottom of the cliff.

The boy is 210m above the bottom of the cliff.

So, you have to subtract 210 from 415 to get 205.

Therefore, you have to lower the rescue 205m to reach the boy.

Answer:

10/3 or 3.33333

Step-by-step explanation:

Images Below

Hope this Helps

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

Work Shown:

old side length = 2x

new side length = 2*(old side length) = 2*2x = 4x

For any cube, the length, width and height are all the same. So L = W = H.

volume = L*W*H

volume = L*L*L

volume = L^3

volume = (4x)^3

volume = 4^3*x^3

volume = 64x^3

Answer:

5a^10

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

The inside of a triangle adds up to 180:

90 because that square box is 90 degrees

90+50=141

180-141=39

Answer:

A checking account

Step-by-step explanation:

It's called a checking account

Answer:

x= -3/52

x= 2

x= -1

Step-by-step explanation:

number 1

52x+3=0

52x=-3

x=-3/52

number 2

2x+2+4x-3-5x-1=0

x-2=0

x=2

number 3

x-5x+4=0

4x+4=0

4x=-4

x=-1

The number of stamps Josef received out of the total stamps of 2,500 is 1,500 stamps

let

x = total number of stamps

Josef share = 60% of x

= 0.60 × x

= 0.60x

Mai = 40% of x

= 0.40x

Josef = 0.40x + 500

Total = Josef + Mai

x = (0.40 + 500) + 0.40x

x = 0.40x + 500 + 0.40x

x = 0.80x + 500

x - 0.80x = 500

0.20x = 500

x = 500/0.20

x = 2,500

Josef share = 60% of x

= 60/100 × 2,500

= 0.60 × 2,500

= 1,500 stamps

Therefore, the total number of stamps shared between Josef and Mai is 2,500

Read more:

https://brainly.com/question/16450098

Answer:

50.05 feet

Step-by-step explanation:

The tower have 32.57 feet, and you can find it using the same method than I used in your other question

Now you find the length of the guy wire using the Pythagorean theorem:

38²+32.57² = guy wire²

2504.8 = guy wire²

guy wire = √2504.8

guy wire = 50.05 feet

Work Shown:

[tex]\chi^2 = \frac{(n-1)s^2}{\sigma^2}\\\\\chi^2 = \frac{(39-1)(3.79)^2}{(1.61)^2}\\\\\chi^2 = \frac{38*14.3641}{2.5921}\\\\\chi^2 = \frac{545.8358}{2.5921}\\\\\chi^2 \approx 210.57667528259\\\\\chi^2 \approx 210.577\\\\[/tex]

Hi there!

We can find the percentage by expressing the amount of oranges to total fruits as a fraction:

[tex]\text{ oranges to total fruit} = \frac{\text{x Oranges}}{\text{ y total pieces of fruit}}[/tex]

Plug in the given values:

[tex]\text{ oranges : total fruit} = \frac{\text{6}}{\text{15}} = 0.4[/tex]

Convert to a percentage by multiplying by 100:

0.4 × 100 = 40%.

[tex]\boxed{\text{40\% of total pieces of fruit are oranges}}[/tex]

Answer:

Step-by-step explanation:

To convert time to time, kernel time with 24 (number of time in a day).

To convert time to minutes, kernel with time with 1440 (number of minutes in a day = 24 * 60).

To convert s to seconds, multiply the time by 86400 (number of s in a day = 24 * 60 * 60).

Answer:

m = -3

c = 2

Step-by-step explanation:

if m = slope and c = y-intercept:

Convert to slope - intercept form : y = mx + b, or y = mx + c

2y + 6x = 4

2y = -6x + 4

y = -3x + 2

(m)Slope = -3

(c)y - intercept = 2

-Chetan K

Answer:

Since there is a right angle, this is a right-angled triangle and we can solve for x using Pythagoras Theorem that goes [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse (longest side of the triangle).

In this case, x would be the c.

Substitute in values of a and b:

[tex]10^2+10^2=c^2[/tex]

[tex]c^2=200[/tex]

[tex]c=\sqrt{200}[/tex]

[tex]c=10\sqrt{2}[/tex] (Option A)