A store is selling two mixtures of coffee beans in one-pound bags. The first mixture has 12 ounces of Sumatra combined with 4 ounces of Celebes Kalossi, and costs $15. The second mixture has 4 ounces of Sumatra and 12 ounces of Celebes Kalossi, and costs $21. How much does one ounce of Sumatra and one ounce of Celebes Kalossi cost?

Answer:

n his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary. ... $60,000 salary with an annual raise of 5% of his current salary 3. Suppose Mr. Nicholson plans on working for his new employer for at least 9 years.

Step-by-step explanation:

Answer:

Repeating

Step-by-step explanation:

-1/11 = -0.0909090909.....

Answer:

Step-by-step explanation:

1). [tex](4t-\frac{8}{5})-(3-\frac{4}{3}t)=(4t+\frac{4}{3}t)+(-\frac{8}{5}-3)[/tex]

                                  [tex]=(\frac{12}{3}t+\frac{4}{3}t)-(\frac{8}{5}+\frac{15}{5})[/tex]

                                  [tex]=\frac{16}{3}t-\frac{23}{5}[/tex]

2). 7t - 22

3). 5(2t + 1) + (-7t + 28) = 10t + 5 - 7t + 28

                                    = (10t - 7t) + 33

                                    = 3t + 33

4). [tex]\frac{16}{3}t-\frac{23}{5}[/tex]

5). [tex](-\frac{9}{2}t+3)+(\frac{7}{4}t+33)=(-\frac{9}{2}t+\frac{7}{4}t)+(3+33)[/tex]

                                       [tex]=(-\frac{18}{4}t+\frac{7}{4}t)+36[/tex]

                                       [tex]=(\frac{-18+7}{4})t+36[/tex]

                                       [tex]=-\frac{11}{4}t+36[/tex]

6). [tex]-\frac{11}{4}t+36[/tex]

7). 3(3t - 4) - (2t + 10) = 9t - 12 - 2t - 10

                                 = (9t - 2t) - ( 12 + 10)

                                 = 7t - 22

8). 3t + 33

Therefore, equivalent expressions are,

a). [tex](4t-\frac{8}{5})-(3-\frac{4}{3}t)=\frac{16}{3}t-\frac{23}{5}[/tex]

b). 7t - 22 = 3(3t - 4) - (2t + 10)

c). [tex](-\frac{9}{2}t+3)+(\frac{7}{4}t+33)=-\frac{11}{4}t+36[/tex]

d). 5(2t + 1) + (-7t + 28) = 3t + 33

Answer:

x=5, y=-4

Step-by-step explanation:

:)

Answer:

X=1/2

Step-by-step explanation:

2(x-3)+3=6x-5

2x-6+3=6x-5

2x-3=6x-5

2x-6x-3=-5

-4x=-5+3= -2

-4x= -2

x= 1/2

Answer:

38

Step-by-step explanation:

30 = X-8

+8    +8

38=x

Answer:

alt exterior- 7,2

corresponding- 5,8

alt interior- 1,3

same side interior- 1,8 or 5,3

Step-by-step explanation:

Answer:

280

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

to write in scientific notation, the number has to be less than 10 but more than one

so for the given number let’s say there’s a decimal at the end

49,010,000.

to move the decimal to the right of 4, we’re moving 7 places

that’s why once the number is

4.901

we write a x10^7 after because you have to move the decimal 7 places to the right to get it back to the original number

Answer: 0-1hr

Step-by-step explanation: lollll

it takes 5 years  for the shoreline to erode 15 feet to a grass line

Two or more expressions with an Equal sign is called as Equation.

The erosion rate of a coastline is approximately 3 feet per year

if erosion continues at the current rate, how many years will it take for the shoreline to erode 15 feet to a grass line

Let us formulate the equation

Let x be the number of years for 15 feet.

3/1=15/x

Apply cross multiplication

3x=15

Divide both sides by 3

x=5

which is 5 years,

adding 24 ft means, it would take 13 yrs.

3 x 8 = 24

Hence it takes 5 years  for the shoreline to erode 15 feet to a grass line

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

28$ games and 45$ for rides so 73$

Step-by-step explanation:

Answer:

he would pay $73.40 for 8 games and 10 rides

Step-by-step explanation:

multiply 3.50 by 8 since it costs him 3.50 per each ride. when calculated u get 28.40.then when calculated multiply 4.50 by ten since that is how much each ride costs. the total should be 45.00. now add 28.40 to 45.00 to get ur answer

Answer: the answer be 1/20

Step-by-step explanation:

I hope it helps you :)

Answer:

The second option

Step-by-step explanation:

The second option is correct because the base of the triangle, which is 3 cm, plus the base of the rectangle, which is 5 cm, is equal to the base of the trapezoid, which is 8 cm.

Hope this helps! :)

Answer:

The value of x in the triangle shown below is 5.

Step-by-step explanation:

We can use the pythagorean theorem to solve this, incase you forgot, this is the pythagorean theorem:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex]a = side \\ b = side \\ c = diagonal[/tex]

So lets solve using the pythagorean theorem.

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {12}^{2} + {b}^{2} = {13}^{2} \\ 144 + {b}^{2} = 169 \\ \frac{- 144 \: \: \: \: \: = - 144}{ {b}^{2} = \sqrt{25} } \\ b = 5[/tex]

Therefore, x equals 5.

Answer:

Step-by-step explanation:

Step one

given data

Cost price of vehicle=  $25,599

Selling price of vehicle= $22,000

Required

The percentage discount in the price

Step two:

% discount= cost price-selling price/cost price*100

% discount= 25,599-22,000/25,599*100

% discount= 3599/25,599*100

% discount= 0.140*100

% discount= 14%

The mark down percentage use is 14%

Answer: First one, 25x^2y^22

Step-by-step explanation:

if you multiply y^5*2 you get y^10 and x^2

that makes x^2y^10

then, if you multiply y^3*4 you get y^12

so you have to add the y s that makes x^2y^22

Answer:

the one you have selected is correct

Step-by-step explanation:

just remember when a number has absolute value bars around them it basically just makes it positive.

Answer: 2i or -2i

Step-by-step explanation:

edge

Given 2x² = -8, x is

✔ 2i or -2i

.

Solve (x – 3)2 = 49. Select the values of x.

–46

✔-4

✔10

52

Answer:

[tex]40[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\No.\ of\ observations=8\\Sum\ of\ these\ observations=320\\Now,\\As\ we\ know\ that,\\Mean=\frac{Total\ Sum\ of\ the\ observations}{Total\ No.\ of\ observations} \\Hence\ here,\\Mean\ of\ the\ observations\ given=\frac{320}{8}=40[/tex]

Answer:

The determinant of C is zero and does not have inverse.

Step-by-step explanation:

Let [tex]C = \left[\begin{array}{ccc}2&4&6\\3&6&9\\4&8&12\end{array}\right][/tex], since it is a matrix with 3 rows and 3 columns, we can determine its determinant by the Sarrus' rule:

[tex]\det(C) = \left|\begin{array}{ccc}2&4&6\\3&6&9\\4&8&12\end{array}\right|[/tex]

[tex]\det(C) = (2)\cdot (6)\cdot (12)+(3)\cdot (8)\cdot (6)+(4)\cdot (4)\cdot (9)-(4)\cdot (6)\cdot (6)-(3)\cdot (4)\cdot (12)-(2)\cdot (8)\cdot (9)[/tex]

[tex]\det (C) = 0[/tex]

Since the determinant of C is equal to zero, then we conclude that C does not have an inverse according to the following definition of inverse matrix. That is:

[tex]C^{-1} = \frac{1}{\det(C)}\cdot adj(C)[/tex] (1)

Where [tex]adj(C)[/tex] is the adjugate matrix of C, defined as the transpose of the cofactor matrix of C.

The result of this expression is undefined due to the determinant.  

Answer:

the probability of selecting a  boy and then a girl is 24 ÷ 91

Step-by-step explanation:

The computation of the probability of selecting a boy and then a girl is as follows:

The probability in the case when a boy is picked up

= 8 ÷ (8 + 6)

= 8 ÷ 14

The probability in the case when a girl is picked up

= 6 ÷ (8 + 6)

= 6 ÷ 14

Now the final probability is

= 8 ÷ 14 × 6 ÷ 13 ( without replacement)

= 24 ÷ 91

hence, the probability of selecting a  boy and then a girl is 24 ÷ 91

Answer:

The Commutative Properties of Addition and Multiplication ... in an addition expression can be grouped in different ways without changing the sum. ... Mathematicians often use parentheses to indicate which operation should be done ... Rewrite 7 + 2 + 8.5 – 3.5 in two different ways using the associative property of addition.

Step-by-step explanation:

I learned this and i still know it. I dont have a explanation

Answer:

y=−8x+53

Step-by-step explanation:

I think... I'm not sure so I'm sorry if its wrong

Answer: Here is an explanation of how to get the answer.

Step-by-step explanation:

It tells you the slope is -8, so you know your equation will look like this:

y = -8x + b,

where b is the intercept. You also are given a point that is on the line, so that is an x and a y value that are a solution to the equation. You can plug those in and solve for b.

5 = -8(6) + b

53 = b

So, your equation is y = -8x + 53

Answer:

10

Step-by-step explanation:

A triangle is a polygon shape with three sides. There are different types of triangles such as scalene, obtuse, equilateral, isosceles etc.

The area of a triangle is given by:

Area = (1/2) * base * height

For triangle XYZ, the base = |XZ| and the height = |AY|

We can calculate the base and height using the formula for the distance between two points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)\ on \ the\ coordinate\ plane[/tex]

[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore:

[tex]Base=|XZ|=\sqrt{(0-(-2))^2+(2-6)^2} =\sqrt{20} \\\\Height=|AY|=\sqrt{(3-(-1))^2+(6-4)^2}=\sqrt{20}[/tex]

Area = (1/2) * base * height = (1/2) * √20 * √20 = 10.