4. The population of New Jersey is
9,000,000 and is decreasing by 100,000
people each year. Georgia's population is
4,000,000 people and is increasing by
400,000 a year. How many years from
now will they have the same population?

Answer:

A Set

Explanation:

A set is a well-defined collection of objects called elements or members of the set.

5y = -3x + 7

y = -3/5x + 7/5

Parallel = same slope

y = -3/5x + b

3 = -3/5 + b, b = 18/5

Standard form: Ax + By = C

y = -3/5x + 18/5

-3/5x - y = -18/5

Multiply by -5

Solution: 3x + 5y = 18

Answer: Scale factor = 2

This is the same as writing [tex]\frac{2}{1}[/tex]

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

Explanation:

Focus on the left sides of each triangle. They correspond to one another. Note how RS represents the first two letters of RST; while MN represents the first two letters of MNO. We can see the order matters.

To find the scale factor, we divide MN over RS to get

MN/RS = 6/3 = 2

Therefore, the sides of triangle MNO are 2 times longer compared to the sides of triangle RST.

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

Extra info:

If you want to find x, then you would solve the following

MN/RS = ON/TS

6/3 = x/5.5

6*5.5 = 3x

33 = 3x

3x = 33

x = 33/3

x = 11

or we could simply multiply ST = 5.5 by the scale factor 2 getting 5.5*2 = 11, which is the length of segment ON.

Answer:

1. $927

2. The ERROR in his expression is that he used 1.015 instead of using 0.015 (1.5%).

Step-by-step explanation:

1. Calculation for What is the correct amount Vince will pay back altogether

Using this formula

A = P + PRT

Where,

A represent Amount=?

P represent Principal =$900

R represent Rate of interest= 1.5%

T represent Time=2 years

Let plug in the formula

A = $900 + $900(0.015*2)

A = $900 + $900(0.03)

A = $900 + $27

A = $927

2. Explanation of the error in in Vince’s expression.

Based on the information given the expression he used which is 900 + 900(1.015 • 2) was correct but the ERROR in his EXPRESSION is that he incorrectly used 1.015 instead of using 0.015 (1.5%).

Therefore the correct amount Vince will pay back altogether will be $927 while the ERROR in his expression used 1.015 instead of using 0.015 (1.5%).

Step-by-step explanation:

In a GP, there is a common ratio between the terms.

8 / (-16/5) = 8 * (-5/16) = -2.5

-20 / 8 = -2.5

We can see that every new term is -2.5 times bigger than the previous term.

Hence to find the next term,

we multiply -20 by -2.5:

(-20)(-2.5) = 50.

Hence 50 should go into the box.

Answer:

50

Step-by-step explanation:

Answer:

2 dollars is one candy bar

Step-by-step explanation:15-3

12/6=2

Answer:

i do not know

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

12:26

12 to 26

12/26

Step-by-step explanation: These are three different, correct ways to write the ratio of boys (12) to the ratio of all the students combined (12 + 14). You can use colons to write a ratio ( : ), you can use the word "to", and you can use a slash symbol ( / ). Hope this helps ^-^.

Step-by-step explanation:

plug -7 for x into the function

f(-7)=-4(-7)²+19

f(-7)=-4(49)+19

f(-7)=-196+19

f(-7)=-177

Answer:

I think it is the value of this constant is called the coefficient of proportionality

Step-by-step explanation:

The value of this constant is called the coefficient of proportionality or proportionality constant. ... Equivalently one may write x = 1k ⋅ y; that is, x is directly proportional to y with proportionality constant 1k (= xy).

the answer is 20 ......

Answer:

Step-by-step explanation:

Its hard to explain but its easy, power "2" on 100 is 10000

Answer:

1. potential

2. potential

3. potential

4. kinetic

5. kinetic

6. kinetic

7. potential

8. kinetic

9. kinetic

10. potential

11. kinetic

12. potential

Step-by-step explanation:

Answer:

the answer is table d 12 =12+34=4

Step-by-step explanation:

Answer is C and E.

All of the other ones don't follow order of operations properly.

Answer: r/c  

Step-by-step explanation:

96/48

or

24/12

Answer:

x=4

Step-by-step explanation:

plug it in to see if it works

Answer:

X=4

Step-by-step explanation:

Solve for x:

x/4 = -5+6

x/4 = 1

multiply by 4 on both sides.

x=4

Answer:

The area of a triangle is one half the area of a parallelogram, or the area of a parallelogram is 2 times the area of a triangle

Answer:

1/64

Step-by-step explanation:

2/8 chance that one of them get a gift card at least $25.

Do that three times

2/8 x 2/8 x 2/8 = 1/64 (simplified it)

Answer:

its C

Step-by-step explanation:

if y is 20 then you have to use the opposite of multiplication for 2/5 which would be division  so 20 divided by 2/5 = 50

check answer by multiplying 2/5 and 50 to get 20

X × X - X × X × X × X × X + 17= X × X × X + 2

Answer:

B) y - 3 = 1/2 (x-2)

Step-by-step explanation:

y-y1=m(x-x1)

Answer:

$1169.45

Step-by-step explanation:

Using the formula:

[tex]P = L \Big( \dfrac{c(1+c)^n}{(1+c^n) -1} \Big)[/tex]

where;

Loan amount L = 160000

number of months (n) = 20 × 12 = 240

Lets assume that the interest rate per month c = 6.25% since it is not given.

i.e. (6.25/( 100*12) ) = 5.208 × 10⁻³

∴

[tex]P = 160000 * \dfrac{5.208 *10^{-3} (1+5.208 *10^{-3})^{240}}{(1+5.208 *10^{-3})^{240}-1}[/tex]

P = $1169.45

Answer:

So we know that y=1/2x. So we apply this equation on each x.

x=-2, so y=1/2*-2 which is -1. so y = -1

x=0, so y = 1/2 * 0 which is 0. so y=0

x=2, so y = 1/2*2 which is 1. so y=1

Hope this helps :))

Answer:

26 pencils were thrown away.

Step-by-step explanation:

1/5 = 8/40

1/4 = 6/32

add them together 18/40

26 were thrown out

Answer: 1.375 inches

Step-by-step explanation:

Answer: D

Explanation: -5 is less than -3

Answer:  Choice B

Point P is located at (-2, -1.8)

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

Explanation:

Refer to the diagram below. I've added point Q (2, -3) that is directly below point M, and directly to the right of point N. Right triangle MQN forms with the 90 degree angle at point Q.

The distance from N to Q is 5 units. Count the spaces or apply subtraction and absolute value to find this.

1/5 of this distance is (1/5)*5 = 1. Starting at point N, move 1 unit to the right to arrive at point A(-2,-3). Point P is directly above this point A, such that point P is on line segment MN.

In other words, point P has x coordinate x = -2. So the answer must be choice B as this is the only answer choice that has its point with x coordinate -2.

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

The distance from Q to M is 6 units. Taking 1/5 of this leads to (1/5)*6 = 1.2

Start at point Q and move 1.2 units up to arrive at point B(2,-1.8). This point is on the same horizontal level as point P. So points B and P have the same y coordinate y = -1.8

The x coordinate of P is the same as the x coordinate of A(-2,-3)

The y coordinate of P is the same as the y coordinate of B(2,-1.8)

So overall, point P is located at P(-2,-1.8).

Again refer to the diagram. It shows point P directly above point A, and it shows point P on the same level as point B.

The length of segment NP is exactly 1/5 that of the length of segment NM.

We can write that as

NP = (1/5)*NM

this is equivalent to

5*NP = NM

after multiplying both sides by 5

Answer:

3

Step-by-step explanation:

[tex]\frac{1}{3} \times (-6) + 5 => \frac{-6}{3} + 5 = >-2 + 5 = 3[/tex]