haven't done expressions in a while so pls help :)

Answer:

1. Yes

2. Yes

3. No

Step-by-step explanation:

Given

Rectangle A:

[tex]Length = 12; Width = 8[/tex]

Rectangle B:

[tex]Length = 15; Width = 10[/tex]

Rectangle C:

[tex]Length = 30; Width = 15[/tex]

Solving (1): Is Rectangle A a scaled copy of Rectangle B?

To do this, we simply determine the ratio of the length and width of both rectangles;

i.e.

[tex]Ratio = \frac{A}{B}[/tex]

For Length:

[tex]Ratio = \frac{12}{15}[/tex]

[tex]Ratio = 0.8[/tex]

For Width:

[tex]Ratio = \frac{8}{10}[/tex]

[tex]Ratio = 0.8[/tex]

Since both ratios are the same, then this statement is true

Solving (2): Is Rectangle B a scaled copy of Rectangle A?

This is the inverse of (1) calculated above.

Since (1) is true, then (2) is also true

3. Is Rectangle A a scaled copy of Rectangle C?

To do this, we simply determine the ratio of the length and width of both rectangles;

i.e.

[tex]Ratio = \frac{A}{C}[/tex]

For Length:

[tex]Ratio = \frac{12}{30}[/tex]

[tex]Ratio = 0.4[/tex]

For Width:

[tex]Ratio = \frac{8}{15}[/tex]

[tex]Ratio = 0.53[/tex]

Since both ratios are the not same, then this statement is false

Answer:

19.92

Step-by-step explanation:

4.8 x 4.15

Answer:

20 is the correct answer.

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

100-20=80

Answer:

He receives $80 in change.

Step-by-step explanation:

Simple Math.

Answer:

3.

C. The domain is (1,+[infinity]) and the range is (-1,+[infinity])

4.

B. 6

5.

A. (-[infinity], 3)

Step-by-step explanation:

The Linear function has one independent and one dependent variable. The value of dependent variable can be found by taking the equation equals to 0. The domain function is set to analyse the range. The range can be set as -1 to 1. Any number between this is acceptable but outside this is not considered in the domain.

Answer:

x>-2

Step-by-step explanation:

The translated inequality to be solved is -3x<6

You divide -3 by both sides which switches the sign because it is negative, there fore the answer is x>-2.

Answer:

x<-18

Step-by-step explanation:

Answer:

i added all the values because the total angle of the interior triangle should give 180 °.

Answer:

23,999

Step-by-step explanation:

Un refrigerador de $8,500.50

Un televisor de $3,500.50

Una computadora de $6,900.00

Una lavadora de $4,999.00

8,500.50 + 3,500.50 + 6,999.00 + 4,999.00 = 23,999.00

Answer:

x=1.5

Step-by-step explanation:

Answer:

exact form x=7/4

decimal form x=1.75

mixed number form x=1 3/4

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

15/28 - 5/12

LCM of 28 & 12 is 336

420 - 140

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

336

=280

--------

336

= 280/336

=5/6

Answer:

Yes, the car was speeding the speed limit.

Step-by-step explanation:

The given equation to find the car's speed, s (in mph), is

[tex]s=\sqrt{30fd}[/tex]

where, d is the length of the skid and f is the friction factor.

Police measured a skid mark of 90 feet, so d=90

As the road is dry and of concrete, therefore the friction factor, f=0.8.

So, the speed of the car

[tex]s=\sqrt{30\times0.8\times90} = 46.48[/tex] mph

The speed of the car is 46.48 mph which is more than the speed limit of 35 mph.

Hence, the car was speeding the speed limit.

Answer:

33.3333333

Have a nice day!      :)

Answer:

a. 0 ≤ t ≤ 3.4 s. b. 0 ≤ y ≤ 50 ft. c. i. -∞ ≤ t ≤ +∞. ii. -∞ ≤ y ≤ 50

Step-by-step explanation:

a. What is the practical domain of the function?

Since the toy rocket lands on the ground 3.4 seconds later, if the time it starts to fly in the air is time t = 0 and the time it lands is time t = 3.4 s, the practical domain of the function is 0 ≤ t ≤ 3.4 s.

b. What is the practical range of the function?

Since the rocket reaches a maximum height of 50 ft, if the maximum height of the toy rocket is y = 50 ft and it lands on the ground at y = 0, the practical range of the function is 0 ≤ y ≤ 50 ft.

c. How would the theoretical domain and range of the function differ from the practical domain and range of the situation?

i. The theoretical values of t is from is from t = -∞ to t = +∞. So, the theoretical domain is -∞ ≤ t ≤ +∞.

ii. Since the maximum value of the function is y = 50, and it also decreases to y = -∞. So, the theoretical domain is from y = -∞ to y = 50. So, the theoretical range is -∞ ≤ y ≤ 50

Answer:

x=35

Step-by-step explanation:

93=x+58

-58   -58

35=x

x=35

Simply subtract 58 on both sides so it crosses out, isolating x.

Also x would be 35 in case you need that.

Answer:

Negative Infinity

Step-by-step explanation:

It is a negative slope, therefore as x moves towards positive infinity, y will move towards negative infinity.

Answer:

they follow the line test

Step-by-step explanation:

there are no repeating x values and if you make a line on each x value there wouldnt be any 2 on a line

Answer:

9y - 3xy

Step-by-step explanation:

3y(3 - x)

Distribute;

3y*3 - 3y*x = 9y - 3xy

Answer:

4(2m + 3n - 1)

I hope this helps!

Answer:

12=3*4 or 6*2.   8=4*2  and -4=4*-1

is the factors.

Answer:

2 13/16

Step-by-step explanation:

3/16 - 1/4

Answer:

a) 5x+6

Step-by-step explanation:

distribution property

then simplify

Answer:

x=25

Step-by-step explanation:

Given

Answer:

C

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

Just remember this:

Mass can neither be created or destroyed

Answer:

D. 10

Step-by-step explanation:

Apex

Answer:

Step-by-step explanation:

Its D 10

Answer:

x=6

DO=25

OG=35

Step-by-step explanation:

start by solving the length of DG to find x.

DO+OG=60

(4x-3)+(2x+21)=60

6x+18=60

6x=42

x=7

Now plug in x and solve.

DO=4(7)-3

DO=28-3

DO=25

OG=2(7)+21

OG=14+21

OG=35

Answer:

m = 68

Step-by-step explanation:

MN bisects it or splits it in half so we know N = M, which we could also write as 8x-12 = 5x+18 because they give us those equations

once you have 8x-12 = 5x+18 you can subtract 5x from both sides, so you will get 3x-12 = 18, then you can add 12 to both sides and you will get 3x = 30. Once you have narrowed down to this you can divide three by both sides making x = 10

Now that we know x =10 we can insert it into the equation

5(10) + 18 = m

50 + 18 = m

m = 68

Answer:

tab on it.

Step-by-step explanation:

Answer:

1. Greece made most of their living from the sea.

2. They became fishers and sailors to get food.

3. On their peninsula they had many different ways to trade with other countries.

4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.

5. Since Greece's sea's are dived from one another, it make trading fiercely independent.1. Greece made most of their living from the sea.

2. They became fishers and sailors to get food.

3. On their peninsula they had many different ways to trade with other countries.

4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.

5. Since Greece's sea's are dived from one another, it make trading fiercely independent.