3) At a coffee shop, the price of a cup of coffee increased from $1.20 to $1.44. What is the change? Is it an increase or decrease?

Answer:

[tex]6w+15[/tex]

Answer:

6w+15

Step-by-step explanation:

You just simplify the expression

Answer: The diagonals are thus equal, and divides the rectangle into right triangles, whereas the diagonals of a parallelogram are not equal and bisect it into two congruent triangles with angles depending on that of the parallelogram.

Answer:

B

Step-by-step explanation:

Answer:

$875

Step-by-step explanation:

5000/ .05 =

250

250 x 3.5 =

875

Answer:

[tex] a_n = 31 - 3n\\\\

a_{30}= 59[/tex]

Step-by-step explanation:

Given Arithmetic sequence is:

28, 25, 22, 19, ...

a = 28, d = 25 - 28 = - 3,

nth term of an Arithmetic sequence is given as:

[tex] a_n = a + (n - 1) d\\[/tex]

Plugging a = 28 & d = - 3 in the above equation, we find:

[tex] a_n = 28 + (n - 1) (-3)\\\\

a_n = 28 - 3n +3\\\\

\huge\purple {\boxed {a_n = 31 - 3n}} \\(This \:is \:the \:required \:equation) \\\\

Plug \: n = 30, \: we \: find:\\\\

a_{30}= 31 - 3 \times 30\\\\

a_{30}= 31 - 90\\\\

\huge\orange {\boxed {a_{30}= 59}} \\\\

[/tex]

Answer:C and E

Step-by-step explanation:

An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.

Given that, an employee earns $14 per hour.

When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.

A). Let the number of hours be x and the total money earned be y

So, y=14x

B). Let the money earn by an employee each year be a and total earning in a year be b.

So, b=a+3% of a

⇒ b=a+0.03a

⇒ b=1.03a

C) Let the number of months be m and the total charge be t

So, t=50+30m

D) Let cost of gym equipment be p, rate of change =8% and time period = 6 months

So, [tex]A=p(1-\frac{8}{100} )^{6t}=p(0.92)^{6t}[/tex]

E) Let the number of hour be x.

Here, 30 minutes = 1/2 hours

Total charge = 20+5x/2

An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.

To learn more about the constant rate of change visit:

https://brainly.com/question/13448675.

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Answer:

1/15 yards

Step-by-step explanation:

Total yards of packing tape = 4 yards

Yards used for his father = 1 3/5 yards

Yards used for another package = 2 1/3 yards

Total yards used = 1 3/5 + 2 1/3

= 8/5 + 7/3

= 24+35/15

= 59/15 yards

How many yards of packing tape does Carlos have left

Total yards left = Total yards of packing tape - Total yards used

= 4 - 59/15

= 60-59/15

= 1/15

Total yards left = 1/15 yards

Answer:

[tex]s = \frac{5i}{-2-6i} = -\frac{30}{40}-\frac{10}{40}i[/tex]

Step-by-step explanation:

We have the following complex number [tex]s = \frac{5i}{-2-6i}[/tex], we proceed to simplify the expression as follows:

1) [tex]\frac{5i}{-2-6i}[/tex] Given.

2) [tex](5i)\cdot (-2-6i)^{-1}[/tex] Definition of division.

3) [tex][(5i)\cdot (-2-6i)^{-1}]\cdot [(-2+6i)\cdot (-2+6i)^{-1}][/tex] Modulative and associative properties/Existence of the additive inverser

4) [tex][(5i)\cdot (-2+6i)]\cdot [(-2-6i)^{-1}\cdot (-2+6i)^{-1}][/tex] Commutative and associative properties.

5) [tex][(5i)\cdot (-2+6i)]\cdot [(-2-6i)\cdot (-2+6i)]^{-1}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

6) [tex][(5i)\cdot (-2+6i)]\cdot [4+36]^{-1}[/tex]    [tex](a+b)\cdot (a-b) = a^{2}-b^{2}[/tex]/Definition of complex number/  [tex]a\cdot (-b) = -a\cdot b[/tex]

7) [tex][(5i)\cdot (-2)+(5i)\cdot (6i)]\cdot 40^{-1}[/tex] Definition of sum.

8) [tex](-10\cdot i+30\cdot i^{2})\cdot 40^{-1}[/tex]    [tex]a\cdot (-b) = -a\cdot b[/tex]/Associative and commutative properties.

9) [tex](-30-10i)\cdot 40^{-1}[/tex] Commutative properties/Definition of complex number/ [tex]a\cdot (-b) = -a\cdot b[/tex]

10) [tex]-30\cdot 40^{-1}-(10i)\cdot 40^{-1}[/tex] Distributive property.

11) [tex]-\frac{30}{40}-\frac{10}{40}i[/tex] Definition of division/Result.

[tex]s = \frac{5i}{-2-6i} = -\frac{30}{40}-\frac{10}{40}i[/tex]

Answer: equilateral

Step-by-step explanation:

Answer: the answer is below!!!!!!

Step-by-step explanation:

first: take 28 and divide it by 2 and you will get 14

now take 2 and divide it by 2 and you will get 1

now take the 14 put it over 1 like this------>14/1

Second:take the 5 and divide it by 2 and you get 2.5

not take the 2 and divide it by 2 and you get 1

now take 2.5 and put it over the 1 like this-------->2.5/1

third: take the 3 and divide it by 3/4  

Answer:

your answer is not perpendicular

Step-by-step explanation:

so first you put the y which is -2 and the -x with -3

[tex]-2=(-3)-4[/tex]

when you subtract the -3 from 4 you will get 7

[tex]4-(-3)=7[/tex]

7 is not equal to -2 so it is not perpendicular

[tex]7\neq -2[/tex]

Answer:

-4

Step-by-step explanation:

3+1 = 4 so just put a dash at the start and you ger -4

Answer:

its D

Step-by-step explanation:

Answer:

D. [tex] Cos(Z) = \frac{5}{13} [/tex]

Step-by-step explanation:

Using trigonometric ratios formula, thus:

[tex] Cos(Z) = \frac{Adjacent}{Hypotenuse} [/tex]

Reference angle = Z

Adjacent = 10

Hypotenuse = 26

Plug in the values into the formula

[tex] Cos(Z) = \frac{10}{26} [/tex]

Simplify

[tex] Cos(Z) = \frac{5}{13} [/tex]

Answer:

20 for de first one and answer (B) for the second.

Step-by-step explanation:

20 for de first one and answer (B) for the second.

hope this helped;3

Answer:

The sides are 14.6, 14.6, 9.6

Step-by-step explanation:

Step one:

given

Perimeter= 49

let the equal sides of the triangle be x

so the third side will be x-5

hence the first side is=x

the second side =x

and the third side=x-5

the perimeter of triangle is

P= A+B+C

where A B and C represents all the sides

49=x+x+(x-5)

solve for x

49=2x+x-5

49=3x-5

49-5=3x

44=3x

x=44/3

x=14.6

Hence the third side is

=x-5=14.6-5

=9.6

The sides are 14.6, 14.6, 9.6

Answer:

18 for same length and 13 for 3 length

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

The easiest way to solve this is by cross multiplying. We can make an equation to find the answer of this by simply taking a side from each triangle and then the variable and equal side on the other triangle, shown below.

[tex]let \: \: ? = x[/tex]

[tex] \frac{7}{49} = \frac{8}{x} [/tex]

Now we solve with cross multiplication

[tex]7 x = 392 \\ x = 56[/tex]

Now we know the mystery number is 56

Answer:

it is 24 . Logically in my idea .

Answer:

is there a question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

expected customers= 1200

actual customers= 725

the percent error= (actual-expected)/expected

substituting the given values we have'

%error=725-1200/1200

%error=475/1200

%error=0.395

To the nearest tenth we have 0.4

%error=0.4*100

%error=40%

Hence the percent error is 40%

Answer:

40%

Step-by-step explanation:

Answer:

(6, -1)

Step-by-step explanation:

Solve the System of Equations

2x + 3y = 9 and x − 2y = 8

Add 2y to both sides of the equation.

x = 8 + 2y 2x + 3y = 9

Replace all occurrences of x with 8 + 2y in each e quation.

Replace all occurrences of x in 2x + 3y = 9 with 8 + 2y. 2 (8 + 2y) + 3y = 9

x = 8 + 2y

Simplify 2 (8 + 2y) + 3y.

16 + 7y = 9

x = 8 + 2y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

7y = −7

x = 8 + 2y

Divide each term by 7 and simplify.  

y = −1

x = 8 + 2y

Replace all occurrences of y with −1 in each equation.

Replace all occurrences of y in x = 8 + 2y with −1. x = 8 + 2 (−1)

y = −1

Simplify 8 + 2 (−1).

x = 6

y = −1

The solution to the system is the complete set of ordered pairs that are valid solutions.

(6, −1)

The result can be shown in multiple forms.

Point Form:

(6, −1)

Equation Form:

x = 6, y = −1

Answer:

(6, -1)

Step-by-step explanation:

Answer:

I cant really read the question

Answer:

75°

Step-by-step explanation:

we can form a triangle to help us understand how to solve this problem:

                                                    puppy

∠ Leslie = 35°                                                   ∠ Surekha = 70°

If Leslie's angle is 35° and Surekha's angle is 70°, that gives us a total of 105°. Since the sum of the triangle's three angles is 180°, then the angle at which they will meet is 180° - 105° = 75°

In this exercise, we have to calculate the angle of the path that they met, so we will have:

75°

We know that the geometric figure in question is a triangle and that the sum of its internal angles must be equal to 180 degrees, thus:

[tex]180-105=X\\180-105=75\\[/tex]

See more about triangles at brainly.com/question/2269348

Answer:

-7 1/7

Step-by-step explanation:

Answer:

a or 7 1/7

Step-by-step explanation:

Answer:

15/7. This the answer answer. But if it tells you simplify this then simplify it.

Step-by-step explanation:

Answer:

X = 15/7

Step-by-step explanation:

Answer:

7.5 units

Step-by-step explanation:

First, create a proportion by picking 2 sides:

2.5/n = 5/15

Next, cross multiply:

5n = 37.5

Finally, divide both sides to isolate the variable:

7.5

Therefore your answer is 7.5 units.