A coffee blender mixes two types of coffee. Type A costs $13 per kg and type B costs
$18 per kg. How many grams of each type of coffee should be blended so that 1 kg costs $15?

Answer:

[tex]\sum\limits_{i=1}^{n} c \cdot a_i \ is \ equal \ to \ c = \ c \cdot \sum\limits_{i=1}^{n} a_i[/tex]

[tex]\sum\limits_{i=1}^{n} i \ is \ equal \ to \ b = \dfrac{n \cdot (n + 1)}{2}[/tex]

[tex]\sum\limits_{i=1}^{n} c \ is \ equal \ to \ d = c \cdot n[/tex]

[tex]\sum\limits_{i=1}^{n} i^3 \ is \ equal \ to \ e = \left [ \dfrac{n \cdot (n + 1)}{2} \right]^2[/tex]

[tex]\sum\limits_{i=1}^{n} i^2 \ is \ equal \ to \ a = \dfrac{n \cdot (n + 1) \cdot (2 \cdot n + 1)}{6}[/tex]

Step-by-step explanation:

1) The sum of a series of the cubes of numbers 'i' is given as follows;

Sₙ = n/2 × (1st term + Last term)

∴ Sₙ = n/2 × (1 + n) = n·(n + 1)/2

It can be shown that the sum of a series of the cubes of numbers 'i²' is given as follows;

Sₙ = (n·(n + 1)·(2·n + 1))/6

It can be also be shown that the sum of a series of the cubes of numbers 'i³' is given as follows;

Sₙ = (n·(n + 1)/2)²

Therefore, we have;

[tex]\sum\limits_{i=1}^{n} c \cdot a_i= c \cdot \sum\limits_{i=1}^{n} a_i = c[/tex]

[tex]\sum\limits_{i=1}^{n} i = \dfrac{n \cdot (n + 1)}{2} = b[/tex]

[tex]\sum\limits_{i=1}^{n} c = c \cdot n = d[/tex]

[tex]\sum\limits_{i=1}^{n} i^3 = \left [ \dfrac{n \cdot (n + 1)}{2} \right]^2 = e[/tex]

[tex]\sum\limits_{i=1}^{n} i^2 = \dfrac{n \cdot (n + 1) \cdot (2 \cdot n + 1)}{6} = a[/tex].

Answer:

c, b, d, e, a

Step-by-step explanation:

Answer:

A. 1.25$

B. 1.75$

C. i.dk s.rry

D. 5.0625

E. i dont know

Step-by-step explanation:

Step-by-step explanation:

a. if $5=4

??=1

if less more divide

¼*5

=$1.25

b. $3.5=½

??=1

if more less divide

$3.5*2=

$7

c. $8.25=3/2

??=1

if less more divide

1*⅔*$8.25

= $5.5

d. $6.75=¾

??=1

if more less divide

4/3*6.75

=$9

e. $5.50=25/4

??=1

if less more divide

4/25*5.5

=$0.88

Answer:

A) What is the opposite of the absolute value of negative 4?

B) What is the absolute value of negative 4?

C) What is the opposite of 4?

D) What is the absolute value of 4?

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

And what is the question we need to answer from the given set of data?

Answer:

126

AS:

If these cubes are to to be placed so that their respective faces are parallel

or perpendicular, as the case may be, to the respective orientations of the

dimensions of the box, without tilting any cubes in any directions,

then choice B) can be justified. This leaves spaces (some volume) in the box

not filled by the cubes.

How many whole number of edges of the cubes fit into 4 cm?  

4 / 3 √ 2   must be rounded down to 3.

How many whole number of edges of the cubes fit into 8 cm?  

8 / 3 √ 2   must be rounded down to 6.

How many whole number of edges of the cubes fit into 10 cm?  

10 / 3 √ 2   must be rounded down to 7.

Then (3)(6)(7) = 126

Answer:

372 in³

Step-by-step explanation:

v1 = 12×4×4=192 in³

v2 = 12×3×5=180 in³

total volume =180 +192 =372 in³

Answer:

No the point (-3,2) doesn't satisfy the equation.

Step-by-step explanation:

2 = -3 -5

(-3) -5

-3 + -5 = -8  

2= -8 is false

Answer:

C. (x + 4, y - 6)

Step-by-step explanation:

Going up means to add.

When you go up you are in the positives.

When you go left or down on a graph you are in the negatives.

Answer:

B

Step-by-step explanation:

Answer:

everything is in the picture

Answer:

The cube root of -8 is -2

Step-by-step explanation:

Factor the numbers 8=2^3

-∛2³

Apply radical rule;

∛2³=2

=-2

HOPE THIS HELPED!!!

Answer:

X=9 I think

Step-by-step explanation:

Irdk coz I suck at math

Answer:

Region B & C

Step-by-step explanation:

Usually, in inequality graphs, the solutions are usually located in the shaded region of the graph.

Also, we make the boundary line thick if the points on that line also contain solutions to the inequality.

In this question, the boundary line of function g(x) is thick and the shaded region is B and C.

Answer:

£2000

Step-by-step explanation:

Let the money invested be x.

After 1 year, the money is now 110% of x = 1.1x

Original amount of money: x

Profit in 1 year: 0.1x

He spends 20% of the profit on a cricket bat.

0.2 * 0.1x = 0.02x spent on cricket bat

The reminder of the profit is 0.8 * 0.1x = 0.08x

He spends 1/8 * 0.08x on a cricket jumper.

Amount of profit he has:

0.1x - 0.02x - 0.125 * 0.08x

This equals £140

0.1x - 0.02x - 0.125 * 0.08x = 140

0.08x - 0.01x = 140

0.07x = 140

x = 140/0.07

x = 2000

Answer: £2000

ita the first answer 65..............

Step-by-step explanation:

(-1,-1) (0,3)

3- -1 / 0 - -1 = 4/1 = 4

slope is 4

Answer:

the amount financed is $16,000

Step-by-step explanation:

The computation of the amount financed is shown below:

As we know that

Amount financed = cash price - down payment

= $16,500 - $500

= $16,000

Hence, the amount financed is $16,000

If we deduct the down payment from the cash price so we can get the amount financed

And, the same would be considered

Answer:

divide the figure into two parts.

area of triangle = 1/2×base×height

area of triangle = 1/2×3×3

area pf triangle = 4.5 units²

area of square = side²

area of square = 3²

area of square = 9unit²

Answer:

The figure is made up of a square and a triangle.

We will find both of their areas separately and then combining them will give us the required area.

Area of the triangle : ½ × base × height

= ½ × 3 × 3

= ½ × 9

= 4.5 units²

Area of the square : (side)²

= 3²

= 9 units²

Now, required area = (4.5 + 9) units²

= 13.5 units²

Answer:

f (g (pi / 2)) = 0

Step-by-step explanation:

We have the following functions:

f (x) = sin x

g (x) = cos x

The first thing we must do in this case is the composition of functions:

f (g (x))

By making the composition we have:

f (g (x)) = sin (cos x)

We evaluate for x = pi / 2:

f (g (pi / 2)) = sin (cos (pi / 2))

f (g (pi / 2)) = sin (0)

f (g (pi / 2)) = 0

Answer:

Using this to get my answer done ;)

Step-by-step explanation:

hehe

Answer:

20

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

6 miles

Step-by-step explanation:

d = 2xr

2x3 = 6

hope this helps

Answer:

D

Step-by-step explanation:

f(x) = 3 1/3x + 35    slope: 3 1/3, y-intercept = 35

f(x) = mx + b

slope↑      ↑y-intercept

Answer:

2

Step-by-step explanation:

64x64=4096

So its 64^2=4096

Answer:

x=2

Step-by-step explanation:

Given: 64ˣ=4096

Take the logarithm of each side: log₆₄(64ˣ)=log₆₄(4096)

Final answer: x=2

The answer is 33 percent

hope this helps!

Answer:

33%

Step-by-step explanation: 1 out of three kids in each group do not sing 100/3 = 33