How many toothpicks make a triangle? Two triangles? Write
an expression that represents the number of toothpicks
needed to make x triangles that appear side-by-side in a
single row, as shown. Explain your reasoning,

Answer:

the median is the middle set of data.

Step-by-step explanation:

Using the together rate, it is found that it would take the apprentice 6 hours to make the same number of sets of glasses when working alone.

The together rate is the sum of each separate rate.

In this problem, the rates are:

Hence, applying the equation for the together rate:

[tex]\frac{1}{2} = \frac{1}{x} + \frac{1}{3}[/tex]

[tex]\frac{x + 3}{3x} = \frac{1}{2}[/tex]

[tex]2x + 6 = 3x[/tex]

[tex]x = 6[/tex]

It would take the apprentice 6 hours to make the same number of sets of glasses when working alone.

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Answer:

Step-by-step explanation:

[tex]6a^2-13ab-5b^2\\ \\ 6a^2+2ab-15ab-5b^2\\ \\ 2a(3a+b)-5b(3a+b)\\ \\ (2a-5b)(3a+b)[/tex]

Answer:

$15 in interest

Step-by-step explanation:

sorry if it is wrong. I found 5% of 300 which is 15.

$15  money will tameka pay in interest.

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

Here, we have,

formula: I = Prt.

here, we get,

given that,

Tameka borrowed $300 to buy a digital music player she will pay the money back in 1 year at 5%simple interest.

P=$300

r=5%

t=1year

so, I =$300*5%*1

       =$15

Hence, $15  money will tameka pay in interest.

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Answer:

It would be 10 units

you can use the midpoint formula.

Step-by-step explanation:

To find - How can you determine the number of solutions of a system

              of linear equations by inspecting its equations?

Proof -

There exists three types of solution for a system of linear equations.

1. No solution.

2. Unique solution.

3. Infinite many solutions.

Now,

Let the 2 linear equations are as follows :

y = ax + b

y = cx + d

1. For no solution -

a = c and b ≠d

For example-

y = -2x + 5

y = -2x  - 1

Subtract first equation from second , we get

y - y = -2x - 1 - ( -2x + 5)

⇒0 = -2x - 1 + 2x - 5

⇒0 = -6

Not possible

So, There exist no solution.

2. For unique solution -

a ≠ c and b , d can be any value

For example -

If b and d are same ,

y = 2x - 4

y = -3x - 4

Subtract equation 1st from 2nd , we get

y - y = -3x - 4 - ( 2x - 4)

⇒0 = -3x - 4 - 2x + 4

⇒0 = -5x

⇒x = 0

⇒y = 2(0) - 4 = -4

∴ we get

x = 0, y = -4

If b and d are different

y = 2x - 4

y = -3x + 5

Subtract equation 1st from second

y - y = -3x + 5 - 2x + 4

⇒0 = -5x + 9

⇒-5x = -9

⇒x = [tex]\frac{9}{5}[/tex]

⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]

∴ we get

x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]

3. Infinitely many solution -

a = c and b = d

For example -

y = -4x + 1

y = -4x + 1

Subtract equation first from equation second

y - y = -4x + 1 - ( -4x + 1)

⇒0 = -4x + 1 + 4x - 1

⇒0 = 0

Satisfied

So, Infinite many solution possible.

Step-by-step explanation:

a pentagon is 5 equilaterial triangles meaning you would use the formula of area of a triangle and multiply that by 5.

422.5m^2 is the answer

Answer:

B.

Step-by-step explanation:

Answer:

38% of the beads are red

Answer:

Average speed is like .83miles per minute and roughly 50 per hour

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:C

Step-by-step explanation:

C. 2/3 cm/s

Answer:

D

Step-by-step explanation:

use math wwwway , it gives ypu the answer and explenation

Answer:

8

Step-by-step explanation:

= f (x) = -2 log 4 (x + 5) - 4

= 4 (-2 + 5) - 4

= So you do -2 + 5 because they are in ( ) so you do it first so (-2 + 5) = 3

= So now you have 4 (3) - 4

= You do 4 and (3) because when you have a 4 by a ( ) that means you multiply.

= 4 (3) which is the same as 4 × 3 which is 12.

= then you do 12 - 4 which is 8.

= 8 is your answer.

I hope this helps.

Answer:C. 2/3 cm/s

Step-by-step explanation:

Answer:

$1.25

Step-by-step explanation:

Given data

let the movie ticket be x and the candy bar be y

x+y= 5-------------1

also

2x+y= 8.75--------2

solve 1 and 2

x+y= 5

2x+y= 8.75

from 1

x= 5-y

put this inplace of x in 2

2(5-y)+y=8.75

10-2y+y= 8.75

10-y= 8.75

10-8.75=y

y= 1.25

Hence candy bar is $1.25

Answer:

Answer is D. 75 cm2

Step-by-step explanation:

The closest estimate to 70.2 is 75 cm2

Hopefully this helps

Answer:x=33.6

Step-by-step explanation:

You would set up the equation 6/5 = x/28 Then you would cross multiply 6•28 then divide by 5

Answer:

Answer:33.6

Step-by-step explanation:

I just know it.

Answer:

c

Step-by-step explanation:

Answer:3

Step-by-step explanation:

7x3=21 4x3=12 21÷12=9 3x3=9

Answer:

Step-by-step explanation:

7 × 3 = (3 × 3) + (4 × 3)

Answer:

Not sure

Step-by-step explanation:

Answer:

8 visits

Step-by-step explanation:

Create an equation, where x is the number of visits to the theater.

Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.

85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.

12.5x + 85 = 185

Solve for x:

12.5x = 100

x = 8

So, Aria needs to make 8 visits to earn a free movie ticket

Aria must make 8 visits to earn a free movie ticket when She needs 185 points for a free movie ticket.

By given she has  85 rewards points just for signing up.

She earns 12.5 points for each visit to the movie theater.

She needs 185 points for a free movie ticket.

We must find how many visits does aria has to make to earn a free movie ticket

If two expressions with equal sign is called as equation.

Let  x is the number of visits to the theater.

Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.

85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.

12.5x + 85 = 185

12.5x = 100

x = 8

So, Aria needs to make 8 visits to earn a free movie ticket

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Answer:

2/3,7/10,11/15,4/5

Step-by-step explanation:

You want to make them all have the same denominator so find a number all of the denominators can go to. In this case it seems to be 30.

7/10x3

21/30

2/3x10

20/30

4/5x6

24/30

11/15x2

22/30

Answer:

2/3, 7/10, 11/15, 4/5

Step-by-step explanation:

2/3= .66

7/10= .70

11/15=.73

4/5= .80

the decimals are numbers.

Answer:

$6.50

Step-by-step explanation:

43.50-24=19.5

19.5/3=6.5

Answer: Each snack costs $6.50

Step-by-step explanation:

Subtract 43.50 by 24

Then divide

Answer:

£ 5400

Step-by-step explanation:

P = £ 7500

r = 12% = 0.12

t = 6 years

Simple Interest = P*r*t

                         = 7500 * 0.12 * 6

                         = £ 5400

Answer:

16

Step-by-step explanation:

took the test

Answer:

5

Step-by-step explanation:

In the case when we multiplied 0.014 by 100,000 so it comes

= 0.014 × 100,000

= 1,400

Since The value 0.014 were times by 5 zeros.

Therefore the decimal point would move 5 places to the right

Answer:

The ordered pair works for the first equation on the top, but not the second equation on the bottom.

Step-by-step explanation:

You have to plug in the x and y values into the equations:

x - 2y = -6

2 - 2(4) = -6  

That equation works.

...now for the next one...

3x + 2y = 12

3(2) + 2(4) = 12

That equation doesn't work.

Hope this helps!

Answer:

w+6=8 and w=2

Step-by-step explanation:

2(w+6) = 16

divide by two on both sides to remove the 2

w+6=16/2

w+6=8

  -6 (remove six from both sides)

w=2