Which equation could be represented by the number line?

Answer:

7.5 cm

Step-by-step explanation:

Since it's a right triangle, apply pythegorean theorem

Let the missing side be x

[tex] {7.8}^{2} = 2.1 { }^{2} + x {}^{2} [/tex]

[tex]60.84 = 4.41 + {x}^{2} [/tex]

[tex] {x}^{2} = 60.84 - 4.41[/tex]

[tex] {x}^{2} = 56.43[/tex]

[tex] \sqrt{ {x}^{2} } = \sqrt{56.43} [/tex]

[tex]x = 7.5[/tex]

Therefore, the length of the missing side is 7.5 cm

2 weeks = 14 day

14 * 15 = 210 seconds

210/60=3 hours and 30 minutes or 3.5 hours.

Answer:

a) 50

b) 86

c) x = 130      y = 50

Step-by-step explanation:

Opposite angles that share the same lines are always the same.

9514 1404 393

Answer:

Step-by-step explanation:

All of these exponential function problems use the same equation, but with different plug-in values. These can be easily accommodated by a spreadsheet or graphing calculator.

The general form of the value after t years is ...

  (initial value)×(1 +annual growth rate)^(years)

The growth rate is positive for an increase, negative for a decrease.

a) Initial value: 22385; growth rate: -0.14; years: 10

  value after 10 years: $22385×(1-0.14)^10 = $4953.84

__

b) initial value: 290; growth rate: 0.09; years: 5

  population after 5 years: 290(1+.09)^5 = 446

__

c) initial value: $4000; growth rate: -0.10; years: 8

  value after 8 years: $4000(1 -0.10)^8 = $1721.86

Selling the car for $1500 is selling it for less than its estimated value. That may not be a good decision.

_____

Additional comment

The property value of the car is not the only consideration when evaluating the sale. Other costs related to the car may come into play, and there may be tax implications.

Step-by-step explanation:

a) We are going g to use the definition of tangent to find x:

[tex]\tan{18°} = \dfrac{opp}{adj} = \dfrac{15}{x}[/tex]

[tex]\Rightarrow x = \dfrac{15}{\tan{18°}} = 46.2[/tex]

b) To solve this problem, we are going to use the definition of cosine:

[tex]\cos{70°} = \dfrac{adj}{hyp} = \dfrac{x}{46}[/tex]

[tex]\Rightarrow x = 46\cos{70°} = 15.7[/tex]

Answer:

3 1/4

Step-by-step explanation:

Answer:

y = — 9/2x + 6

Step-by-step explanation:

m= —9/2

y — y1 = m (x — x1)

y + 3 = —9/2 (x — 2)

y = — 9/2x + 6

Answer:

B

Step-by-step explanation:

<STR = <SRT                      Given the markings of the triangle

<STR + <STU = 180            Supplementary angles

(2x - 9) + 7x = 180               Remove the brackets

2x - 9 + 7x = 180                 Combine

9x - 9 = 180                         Add 9 to both sides

9x = 180 + 9                        Combine

9x = 189                              Divide by 9

9x/9 = 189/9

x = 21

Answer:

7

8

1

10

Step-by-step explanation:

the coefficient of x you look at x the number associated with x is the coefficient.same applies to z y and constant number independent of any letter

All the statements that are true as regards the proportional relationship of the graph are;

A. The equation represents a proportional relationship

B. The unit rate of change of y with respect to x is 1.4

C.  The slope of the line is 7/5

D. A change of 2 units in x results in a change of 2.8 units in y

The slope intercept form of the equation of a straight line is;

y = mx + b

where;

m is the slope.

b is the y-intercept.

Since the equation is given as y = 1.4x, then the slope is 1.4 and the y-intercept is 0.

A. The equation represents a proportional relationship;

This is true since the equation because y is always 1.4 times as large as x from the given equation relationship.

B. The unit rate of change of y with respect to x is 1.4;

This is true because when we divide both sides by 1.4, we will get;

y/x = 1.4

C.  The slope of the line is 7/5;

This means that the slope is 7/5 = 1.4. This is same as the slope given and it is true.

D. A change of 2 units in x results in a change of 2.8 units in y;

This means that the slope is 2.8/2 = 1.4. This is same as the slope given and it is true.

E.  A change of 3 units in a results in a change of 1.2 units in y;

This means that slope = 1.2/3

This is not equal to our given slope and so is not true.

Read more about Graph proportional relationship at; https://brainly.com/question/12242745

#SPJ1

Answer:

D

Step-by-step explanation:

it's 100% I'm super sure

Answer:

Step-by-step explanation:

An acute triangle is a triangle in which all three angles measure less than 90 degrees. If any angle measures 90 or more degrees, we no longer have an acute triangle.

Answer:

B.   21.  A    22.  c

Step-by-step explanation:

8.75 ÷1000   move decimal point three places to the left.

21.  A    a whole number  0.80

22.   C   nonterminating decimal.   0.6666...

Answer:

6sqrt5

Step-by-step explanation:

Perfect squares are the squares of integers

There are 990 integers between 50000 and 60000 that are squares of integers

There are 1000 perfect squares, and 100 perfect cubes between 1 and 1000000

This is because:

[tex]\mathbf{100000 = 1000^2 = 100^3}[/tex]

Rewrite as:

[tex]\mathbf{100000 = x^2 = y^3}[/tex]

Where x lies between 1 and 1000, and y lies between 1 and 100.

If y^3 is a perfect square, then y is a perfect square

List out the perfect squares from 1 to 1000

[tex]\mathbf{y = 1, 4, 9, 16, 25, 36, 49, 64, 81, 100}[/tex]

Take the cube of these numbers

[tex]\mathbf{y^3 = 1^3, 4^3, 9^3, 16^3, 25^3, 36^3, 49^3, 64^3, 81^3, 100^3}[/tex]

[tex]\mathbf{y^3 = 1, 64, 729, 4096, 15625, 46656, 117649, 262144, 531441, 1000000}[/tex]

So, the count of numbers that are perfect squares and perfect cubes between 1 and 1000000 is 10.

The count of integers between 50000 and 60000 that are squares of integers is:

[tex]\mathbf{n = x -10}[/tex]

Substitute 1000 for x

[tex]\mathbf{n = 1000 -10}[/tex]

[tex]\mathbf{n = 990}[/tex]

Hence, there are 990 integers between 50000 and 60000 that are squares of integers

Read more about perfect squares at:

https://brainly.com/question/13521012

Answer:

79.04 liters

Step-by-step explanation:

20.8 x 3.8 = 79.04

Answer:

63

Step-by-step explanation:

Answer:

The last one is correct.

Step-by-step explanation:

[] Rewrite 4/5 as 8/10

[] 8/10 / 3/10 = 8/10 * 10/3 = 80/30 = 2 2/3 days

Have a nice day! - This is only correct if your models look like the ones I have attached

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

- Heather

Answer:

D) t = 5

Step-by-step explanation:

when t =5 both functions have the same x and y value

Answer:

It is the third one

Step-by-step explanation:

Answer:

3 x 26 = 78

Step-by-step explanation:

It's quite simple, when you look at the problem, it states Juan at 26 carrots. Carmen on the other hand ate 3 times as much. For the answer choices, they put Carmen's 3 first and Juan's 26 second.

Answer:

Step-by-step explanation:

We know from the property of 30°x60°x90° right triangle:

We see AC = 2*BC, therefore:

Correct choice is B

The ratio of angles is directly proportional to the ratio of sides

The ratio of sides here is 1:1/2:1

Now

[tex]\\ \sf\longmapsto 2x+x=90°[/tex]

[tex]\\ \sf\longmapsto 3x=90[/tex]

[tex]\\ \sf\longmapsto x=30[/tex]

Ratios are simply used to compare two or more related quantities

(a) Comparing quantities

To compare quantities, we make use of ratios.

Hence, a way to compare two or more quantities is by using ratio

(b) Statement of equality between ratios

When two or more ratios are equal, the ratios are said to be equivalent ratios

Hence, the statement of equality between ratios is equivalent ratios

(c) Express (3) and (4) as ratios

There are 10 stars and 8 crosses.

So, the ratio is 10 : 8

There are 3 toys and 9 books.

So, the ratio is 3 : 9

(d) Compare balloons and party hats

There are 12 balloons and 18 party hats.

So, the ratio is 12 : 18

Reduce the ratio as follows:

12 : 18 = 2 : 3 ---- this is done by dividing 12 and 18 by 6

So, the comparison is:

There are 2 balloons for every 3 party hats

(e) Simplify (4)

In (4), we have:

Ratio = 3 : 9

Divide by 3

Ratio = 1 : 3

Hence, the simplified ratio is 1  3

(f) Express the currency ratio in its simplest form

The ratio is given as:

Ratio = 4 * 1 peso coin : Php80.00 coin

Evaluate the product

Ratio = 4 peso coin : Php80.00 coin

Divide both sides by 4

Ratio = 1 peso coin : Php20.00 coin

Hence, the simplest form of the ratio is 1 : 20

Read more about ratios at:

https://brainly.com/question/25326254

Answer:

E

Step-by-step explanation:

Answer:

distance, speed, time, temperature , work, energy, charge, voltage are all scalar quantities. Displacement, velocity, acceleration, force, electromagnetic field are all vector quantities.

Step-by-step explanation:

Displacement and velocity.

Linear.

[tex] \rm {6x}^{2} = 12[/tex]

[tex] \rm {x}^{2} = 12 \div 6[/tex]

[tex] \rm {x}^{2} = 2[/tex]

[tex] \rm x = \sqrt{2} [/tex]

Answer:

8/5 cups

Step-by-step explanation:

equal 5/4 to 2/x x representing the amount of flour

cross multiply: 5x=8

divide: x=8/5

Step-by-step explanation:

1hr = 60

½ hr = 30

60 + 30 = 90

We want to find the two numbers you picked, we will find that the two numbers you picked are 3 and 7.

First, you pick a number between 0 and 10, let's say that the number is N.

Then multiply it by 5 and add 7, so we get:

(5*N + 7)

Now we multiply this by 2

2*(5*N + 7)

Now we add another number between 0 and 10, let's call it M.

We need to add that to the product, and then subtract 6, and that will be equal to 45.

2*(5*N + 7) + M - 6 = 45

Now let's simplify the expression:

2*(5*N + 7) + M = 45 + 6 = 51

10*N + 14 + M = 51

10*N + M = 51 - 14 = 37

10*N + M = 37

With this, we want to find the values of N and M, but remember that these two values belong to the interval [0, 10]

So the only two solutions are:

N = 3 and M = 7

such that:

10*3 + 7 = 30 + 7 = 37

So the two numbers you picked are 3 and 7.

If you want to learn more, you can read:

https://brainly.com/question/2263981

Answer:

I think it's True

Step-by-step explanation:

When you multiply a negative and positive, it equals a negative: (-)x(+)=(-)

^-2/5x > -8

Then multiply both sides of the inequality by ^-5/2 and flip the inequality sign

Which gives you:

x < 20

Answer:

Step-by-step explanation:

one would flip the sign on (-2/5)x > -8 because you would be multiplying by a negative number (- 5/2) to get positive x standing alone. It resolves to

x < 20

You would also flip the sign on

-x + ¾ < 10

-x + ¾ - ¾ < 10 - ¾

-x(-1) > 9¼(-1)   multiplying by a negative number flips the sign.

x > - 9¼