If Tristen buys 14 t-shirts for $78.40. What is the
constant of proportionality?

Answer:

[tex]\mathsf{\frac{3}{2}}[/tex]

Step-by-step explanation:

In order to get a product of 1, you must multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] with another fraction that will result in the same value for the numerator and the denominator, which is its reciprocal.  

In other words, [tex]\mathsf{\frac{2}{3} \:\times\frac{3}{2}\:=\:\frac{6}{6}\:=\:1}[/tex].

Therefore, you could multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] by  [tex]\mathsf{\frac{3}{2}}[/tex] to make a product of 1.    

Answer:

They are congruent by HL

Step-by-step explanation:

Answer:

HL.

Step-by-step explanation:

2 right triangles.

Hypotenuse and 1 leg are congruent.

Answer:

it does have a solution x=0

Step-by-step explanation:

9x+15=3x+15

6x+15=15

6x=0

x=0

Answer:

I agree.

Step-by-step explanation:

Here is my explantion:

[tex]9x+15=3x+15\\\\Simplify:\\9x=3x\\\\Subtract 3x from both sides\\9x-3x=3x-3x\\\\\\Simplify:\\6x=0\\\\Divide both sides by 6\\\frac{6x}{6} =\frac{0}{6}\\[/tex]

Answer: 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

How to solve

× + 5 = 13

subtract from both sides of the equation.

× + 5 - 5 = 13 - 5

13 - 5= 8

please give me brainliest and a thanks.

Answer:

Only whole numbers of people, n, are assumed in the calculation.

Step-by-step explanation:

The function relating the number of people, n, to the revenue, r, implicity assumes that only whole people will purchase tickets.  13.5 would mean that 13 normal people and 1/2 of a person bought tickets.  This can't be in the domain, since the ticket saleperson would run away if 1/2 of a person showed up:  thus no ticket sale.

Actually, it may depend on how one defines a person.  Is it 1/2 physically, or 1/2 mentally?  I've personally seen the latter show up at some fundraisers.

Answer:

top to bottom,

Yes

No

Yes

Yes

Answer:

k=20

Step-by-step explanation:

The constant of proportionality, k, measures the constant value of the ratio between two proportional quantities, being y and x in this case. Essentially, y/x will always equal 20, the constant of proportionality.

Step-by-step explanation:

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being opposite to the angles.

so,

14/sin(80) = x/sin(60)

x = 14×sin(60)/sin(80) ≈ 12.3cm

Answer: on the bottom is (-6,5) and on the top is (1,7)

Step-by-step explanation:

Answer:

4.75

Step-by-step explanation:

Answer:

im sorry i dont know but you can try

Step-by-step explanation:

Step-by-step explanation:

THE ANSWER IS D BUT ME 8S NOT SURE

Answer:

7

Step-by-step explanation:

I used keep change flip, and repeated the process and got the answer.

Hope this helps! :)

Answer:

1/72

Step-by-step explanation:

1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2

1/2 * 1/2 * 1/2 *1/2 *1/2* 1/2 * 2/1

1/72

Step-by-step explanation:

I guess, it means every meter costs these amounts.

and the specified costs are not fit the whole bundle.

it is also unclear, if "half of it" means half of the original x meters, or half of the remaining meters (after selling 2/5 of the original meters). I assume the first.

so, we have

-5x

+ 2/5x × 5.5

+ 1/2x × 6.4

+ (10/10 - 4/10 - 5/10)x × 6 = + 1/10x × 6

= 120 ( a income minus costs is the profit, so balancing both sides in a "+" and "-" expression gives us the remaining profit).

about the line with the 1/10 :

the leftovers. 10/10 is the whole x at the beginning.

2/5 = 4/10.

1/2 = 5/10.

I brought all involved fractions to the same denominator of the smallest common multiple of 2 and 5 (10).

in full

-5x + (2/5)x×5.5 + (1/2)x×6.4 + (1/10)x×6 = 120

-5x + 2.2x + 3.2x + 0.6x = 120

-5x + 6x = 120

x = 120

so, he bought 120m in the first place.

Answer:

eh+gf/fh

Step-by-step explanation:

Answer:

i think that the correct answer is 7/12

Answer:

(1,5) and (4,7)

Step-by-step explanation:

The slope of linear equations can be determined by m = rise / run. Rise means the difference between the y coordinates of the two points, and run is that of the y coordinates. In this case rise / run = (7-5) / (4-1) = 2 / 3.

Answer:

The third answer is the correct one.

Answer: a = 2.5 (an-1)

Step-by-step explanation: trust me;)

The function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].

sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is as a geometric sequence of  numbers.

[tex]a_{n} =ar^{n-1}[/tex]

Where,

[tex]a_{n}[/tex] is the nth term of the sequence or geometric progression

n is the total number of terms

r is the common ratio

and a is the first term

According to the given question

We have

A geometric progression

8, 20, 50, 125, 312.5

Now the common ratio for the above progression is given by

[tex]r = \frac{20}{8} = 2.5[/tex]

And the first term is

a = 8

Therefore, the function which is used to represent the above sequence is given by

[tex]a_{n} = 8(2.5)^{n-1}[/tex]

Hence, the function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].

Learn more about geometric progression here:

https://brainly.com/question/4853032

#SPJ2

Answer:

51.2578125

Step-by-step explanation:

3 * (3/2)^(8 - 1)

3 *(3/2)^7

51.2578125

Answer:

10

Step-by-step explanation:

count the full squares then add up the halfs and u get 10

The sale of an equipment is referred to as disposal of an asset. The required answers are:

1. Gain on disposal = $2000

2.    Journal entry for the disposal of the equipment.

                              Dr                       Cr

                              $                         $

Cash acct.            10000        

Asset                                              8000

P or L                                              2000  

Disposal of an asset implies the sale of a plant, property, or equipment. This would ensure the recovery of the carrying amount of the item during sale.

1. The gain or loss on sale of the equipment can be determined by deducting its carrying amount from its recoverable amount.

Thus, to determine the gain or loss on disposal;

                                         $'000

Cost                                     48

Accum. Depreciation          40

Carrying amount                   8

Gain or loss on disposal = Selling price - carrying amount

                                         = $10000 - $8000

                                         = $2000

The gain on disposal is $2000.

2.                           Dr                       Cr

                              $                         $

Cash acct.            10000        

Asset                                              8000

P or L                                              2000                              

For more on disposal of asset, check: https://brainly.com/question/24098024

Answer:

3 days

Step-by-step explanation:

We know that there is 5/2 buckets of bananas, and each day 5/6 is eaten, so the answer is 5/2 divided by 5/6 which is 3

Answer:

3 days

Step-by-step explanation:

2 1/2 ÷ 5/6 = 3

Therefore, the bananas will last 3 days.

Answer: 25.2 or 25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

because you just devide

Answer:

x=4.6

Step-by-step explanation:

step 1 : calculate angle P since you know 2 angles

Step 2 : 57° - 90° = 180° [interior angles of a triangle ]

Step 3 : x/sin(33°) =7.1/sin(57°)

: x= 7.1Sin(33°)/sin(57°)

: x=4.6

Answer:

x = 3, y = 11/7.

Step-by-step explanation:

6x - 7y = 7

x - 7y  = -8   Subtract:

5x = 15

x = 3

3 - 7y = -8

-7y = -11

y = 11/7.

Answer: x = 3 and y =  11/7

Step-by-step explanation: 6x-7y+(-6x) = 7+(-6x)                                             -7y/-7 = -6x+7/-7                                                                                                     y = 6/7x-1                                                                                                               x-7 (6/7 (x) -1) = -8                                                                                             -5x+7+(-7) = -8+(-7)                                                                                         -5x/-5 = -15/-5                                                                                                        x = 3                                                                                                                         y = 6/7x-1                                                                                                               y = (6/7) (3) -1                                                                                                         y = 18/7-1                                                                                                                 18/7-1/1                                                                                                                 18/7-7/7                                                                                                                 y= 11/7                                                                                                                     x = 3 and y =  11/7

Answer:

3a -3b= -9

3a - 4b = -5

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

b=-4

4a- 4b= -12

3a - 4b = -5

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

a = -7