Rearrange tiles on the board to represent equivalent
expressions.
Use the model to create zero pairs. What is an
equivalent expression that has two terms?
Board sum: 2x + (-x) + 3 + (-2)

Town B will have more population in 1990.

Given that, in 1950 town A had a population of 200 people and the population increased by 200 people each year. In 1950, Town B had a population of 200 people and the population increased by 10% each year.

We need to find which town will have more people in 1990.

Town A = 1990 - 1950

= 40 years

Therefore, in 40 years it will have = 40 × 200 = 8000 population.

Town B = It is increasing by 10% each year,

so in 40 years,

P = 200(1+0.1)⁴⁰

P = 9051

Since the population of town B is greater than the population of town A.

Hence town B will have more population in 1990.

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Answer:

70 Km/ h

Step-by-step explanation:

speed = [tex]\frac{distance }{time}[/tex] = [tex]\frac{210}{3}[/tex] = 70 Km/h

Answer:

17

Step-by-step explanation:

First of all, based on the Pythagorean theorem, a^2 + b^2 = c^2

(it's very important that the ∠ABD angle is 90 degrees)

8^2 + 15^2 = s          and           5^2 + 15^2 = CD (but the original question doesn't want the value of CD, so we just need to solve for s)

64 + 225 = 289   now remember, 289 is s^2, and we only want the value of s, so we have to find its square root: √289 = 17

Hope it helped!

Answer:

204 Seconds

Step-by-step explanation:

Step 1 - 68/2 this is to find the unit cost in seconds that it takes to walk up the stairs to get 34.

The 2 is from the amount of flights of stairs you have to walk up to get from floor 1 to floor 3.

Step 2 - 34*6 this is because the unit price is 34seconds/flight of stairs to get 204.

Answer 204 Seconds.

Answer:

6x+3y-15

Step-by-step explanation:

take the x's add them up. take the y put it after the answer of the x's then subtract the y. (im just waffling)

Answer:

no

Step-by-step explanation:

to determine if (0, 9 ) is a solution substitute x = 0 into the equation and if the result is 9 then it is a solution

y = - 3(0) + 5 = 0 + 5 = 5 ≠ 9

then (0, 9 ) is not a solution to the equation

Answer:

add 6 Cubes to the other side

Step-by-step explanation:

Since there are 3 cubes on one pan

and nine on the other you would need to

subtract 9-3

6 cubes to make them balance!

Answer:

45 min

Step-by-step explanation:

1st week = 20 min

2nd week = 25 min ..6th week=45 min

Step-by-step explanation:

If we have

[tex] \frac{r( \cos(x) + i \sin(x) }{s( \cos(v) + i \: sin(w)} = \frac{r}{s} ( \cos(x - v) + i \: sin(x - w)[/tex]

So first we know the modulus is 6 and 2 for the second one so we get

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

First degree is 70 , and second is 5 so our degree will be 65 in the second because

70-5=65

Our answer is

[tex]3( \cos(65) + i \: \sin(65) )[/tex]

Answer:c.

Step-by-step explanation:

Answer:

[tex]\frac{14}{15}[/tex]
[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given the following equations:

[tex]2\frac{4}{5} \times\frac{1}{3}[/tex]
[tex]1\frac{1}{4} \times\frac{1}{5}[/tex]

In order to solve the following equations, we convert the mixed numbers into improper fractions and then solve by multiplying the numerators and the denominators by each other.

[tex]2\frac{4}{5} \times\frac{1}{3}[/tex]
[tex]2\frac{4}{5} =5\times2=10+4=\frac{14}{5}[/tex]
[tex]\frac{14}{5} \times\frac{1}{3}[/tex]
[tex]14\times1=14[/tex]
[tex]5\times3=15[/tex]
[tex]=\frac{14}{15}[/tex]

[tex]1\frac{1}{4} \times\frac{1}{5}[/tex]
[tex]1\frac{1}{4} =1\times4=4+1=\frac{5}{4}[/tex]
[tex]\frac{5}{4} \times\frac{1}{5}[/tex]
[tex]5\times1=5[/tex]
[tex]4\times5=20[/tex]
[tex]\frac{5}{20} \div5=\frac{1}{4}[/tex]
[tex]=\frac{1}{4}[/tex]

Hope this helps.

Answer:

The answer is "A", 6.3 meters/second because it is lower than 7 when it is supposed to be higher.

I hope this helped and please mark me as brainliest!

In this experiment, there is an independent variable that is the time spent playing video games.

In research there are different ways to test a hypothesis. One of them is the experiments in which we have one or more factors that can be modified to alter the result.

These factors are known as independent variables because their variation does not depend on other factors. On the contrary, they influence the variation of other factors that are known as dependent variables.

According to the above, it can be inferred that time is the independent variable of this research because its modification is planned to evaluate the different variables that it can cause.

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Answer:

161.3000

Step-by-step explanation:

Answer:

2,598,960

Step-by-step explanation:

It is a combination because order doesn't matter. You wouldn't want to call A-K-Q-J-10 of hearts a different combination than 10-J-Q-K-A.

52 C 5 = 2,598,960

Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal:

4.50p + 40 = 112

Find the number of pairs of shoes he must sell to meet his daily earnings goal:

16 pairs of shoes

Step-by-step explanation:

$40 per day

$4.50 per shoe

$112 is earning goal

p = # of shoes he needs to sell, to get to goal

to find p we have to isolate p

4.50p + 40 = 112

subtract 40 from both sides

4.50p = 72

divide both sides by 4.50

p = 16

Roger needs to sell 16 shoes each day in order to achieve his goal of earning $112 each day.

use the internet                  it help you alot

Answer:

1) 1.05

2) 5.6 Euros

3) 4.25

Step-by-step explanation:

For answer one just times the amount of copy books by 0.35 which is 1.05

0.35x3=1.05

For answer two just divide the amount of 28 euros by thinking of it as change and see how much is left for example 30% of 15 euros is 4.5

For answer three just subtract the amount of cost by 5 euros

Answer:

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

a=2, b=-1, and c=3

We need to find out b²-2ac

(-1)²-2(2)(3)=1-2(6)=1-12=-11

Answer:

Step-by-step explanation:

The question makes sense for all values of x, but I imagine that is not exactly what you mean.

I think you mean for what values of x does the question produce a real square root?

The answer is as long as x + 2  does not drop below   0, the results will be real.

Put mathematically x ≥ -2 gives a real result. For now just don't try and take the square root of a minus number.

Answer:

x >= -2

Step-by-step explanation:

For real numbers (like, for graphing or applications) the number inside the square root symbol must be a positive number. So, if x is -3, -4, -5 you will get a negative number inside the square root. If x is -2, you get a zero, which is fine(allowed, no problem) If x is -1, you get a 1 inside there, which is no problem. Any positive number for x yields a positive number inside the square root.

So x must be greater than -2.

Saying what x is or can be is what is "the domain"

Domain: {x | x >= -2}

This is set notation.

Interval notation looks like this:

[-2, infinitysymbol)

Simply, x >= -2

The equation that can be used to determine the value of the car after 6 months is v(y) = 20,250(0.89)^6/12

Depreciation is the rate of decrease in value of an asset. When an asset depreciates, it declines in value with the passage of time.

The formula that can be used to represent depreciation is:

FV = P (1 + r)^n

v(y) = 20,250(1 - 0.11)^t

v(y) = 20,250(0.89)^6/12

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Step-by-step explanation:

By substitution method

6x+3(2x)=12

6x+6x =12

12x=12

x=1

y=2x

y=2*1

y=2

Answer:

-5/3

Step-by-step explanation:

To find the slope of the two points, use the formula: Y2-Y1/X2-X1

-1 is Y2, -6 is Y1, so that will be our numerator in this equation

5 is X2, 8 is X1, so that will be our denominator in this equation

So our equation becomes, -1+6/5-8 (Two negative signs create a positive so instead of -6 it becomes +6)

When we solve this, we get 5/-3

So our slope is -5/3

Hope this helps!

The slope of the line that passes through the points (8, -6) and (5,−1) is -5/3.

We have given that,

The slope of the line that passes through the points (8, -6) and (5,−1).

To determine the slope of the given points.

To find the slope of the two points,

use the formula: Y2-Y1/X2-X1

(8, -6)

Therefore, -1 is Y2, -6 is Y1,

So that will be our numerator in this equation

(5,−1)

5 is X2, 8 is X1, so that will be our denominator in this equation

So our equation becomes, -1+6/5-8 (Two negative signs create a positive so instead of -6 it becomes +6)

When we solve this, we get 5/-3

So our slope is -5/3.

Therefore the slope of the given point is -5/3.

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Answer:

6w*6w-66*w-72

Hope This Helps!!!

Answer:

6(w - 12)(w + 1)

Step-by-step explanation:

6w² - 66w - 72 ← factor out 6 from each term

= 6(w² - 11w - 12) ← factor the quadratic

Consider the factors of the constant term (- 72) which sum to give the coefficient of the w- term (- 11)

The factors are - 12 and + 1 , since

- 12 × 1 = - 12 and - 12 + 1 = - 11 , then

w² - 11w - 12 = (w - 12)(w + 1) , so

6w² - 66w - 72 = 6(w - 12)(w + 1) ← in factored form

Answer: Evaluate 2x2−3x+8 when x=−4 .

Substitute −4 for x. 2(−4)2−3(−4)+8

Simplify exponents. 2(16)−3(−4)+8

Multiply. 32−(−12)+8

Subtract. 44+8

Add. 52

Now we can evaluate expressions that include multiplication and division with integers. Remember that to evaluate an expression, substitute the numbers in place of the variables, and then simplify.