A market sells coffee from Brazil for $3 per pound and coffee from Colombia for $4 per pound. How
many pounds of each should be used in order to sell the blend of 100 pounds for $3.50 per pound?

Answer:

x > -3

Step-by-step explanation:

-3x + 6 < 15

-3x < 15 - 6

-3x < 9

-x < 3

x > -3

A. x > -3

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

−3x + 6 − 6 < 15 − 6

−3x < 9

Step 2: Divide both sides by -3.

−3x/−3 < 9/−3

x > −3

Answer:

566

Step-by-step explanation:

We need to write the following number in standard form.

500 + 60 + 6

Here, the first no is 500, the second number is 60 and the other number is 6.

It can be done as follows :

500 + 60 = 560

And

560 + 6 = 566

So, the standard form is 566 inc which 6 is at one's place, another 6 at tens place and 5 at hundred places.

Answer:

the mean is 7

Step-by-step explanation:

used a mean calculator

Answer:

3 + 8 times 3 +27 times 3 + 64 times 3+ 125 times 3  + 216 times 3+ 343 times 3

2352 cubic units^3

Step-by-step explanation:

Answer:

7 2/5 cups

Step-by-step explanation:

4 x 9 = 36

36/5 = 7.2

Answer:

See answer below

Step-by-step explanation:

Given the functions f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.

a)(fog)(x) = f(g(x))

f(g(x)) = f(2x^2-5)

f(g(x)) = 5(2x^2-5) - 3

f(g(x)) = 10x²-25-3

f(g(x)) = 10x² - 28

b) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 2(25x²-30x+9)-5

g(f(x)) = 50x²-60x+18-5

g(f(x)) = 50x²-60x+13

c)(fog)(2) = f(g(2))

f(g(x)) = f(2x^2-5)

f(g(2)) = 10(2)² - 28

f(g(2)) = 10(4)-28

f(g(2)) = 12

d) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 50x²-60x+13

g(f(2)) = 50(2)²-60(2)+13

g(f(2)) = 200-120+12

g(f(2)) =80+12

g(f(2)) = 92

Answer:

Step-by-step explanation:

C

Answer:

C 290 in^2

Step-by-step explanation:

Answer:

A = x^2 - x + xy - y

P = 4x + 2y - 2

Step-by-step explanation:

[tex]a = (x + y)(x - 1) \\ a = {x}^{2} - x + xy - y \\ \\ p = 2((x + y) + (x - 1)) \\ p = 2(2x + y + - 1) \\ p = 4x + 2y - 2[/tex]

I hope that is useful for you :)

Answer:

x=5

Step-by-step explanation:

add 6 to both sides

7x=35

divide by 7

x=5

Answer:

X=5

Step-by-step explanation:

-6+7= 1

7x5=35

-6+ 7(5)=29

Answer:

Step-by-step explanation:

We are given the triangle  ABC  and told to find ∠A, ∠B, and side b.  Also we are told that side c= 54 .  side a=64 and ∠C = 32°

we need law of sines    a / sin A =  b / sin B =  c / sin C

let's use law of sines to find the other angles

64 / sin A = 54 / sin(32)

I'm just going to swap the fractions on both sides , just to make it easier

sin A / 64 = sin(32) / 54

∠A = arcSin(64 * sin(32) / 54)

∠A = 38.9066°

∠B + ∠A + ∠C = 180

∠B = 180 - 32 - 38.9066

∠B  = 109.0934°

let's find side b now

sin B / b = sin(32) / 54

sin(109.0934°) / b = sin(32) / 54

54 * sin(109.0934°) /  sin(32) = b

96.2963 = b

Answer:

Pretty sure it's the first 3 options.

Step-by-step explanation:

Hi first of all, im totally new at this, but this seemed like a simple q. If anyone sees this and finds it wrong, pls pls let me know!

China and USA have highest/lowest density. You can tell by looking at the chart.

Indias density is about 360 people/km^2

Divide India's population by the Area

=  360.22

And the last option, according to me, is wrong.

Hope it helps !! And if it doesnt, again, pls let me know :)

Answer:

126 degree

Step-by-step explanation:

use alternate angles and linear pair

Step-by-step explanation:

so fill in 88 where the x is so

y = 0.9 (88) - 1

y = 78.2

Answer:

x≥0

Step-by-step explanation:

the domain is anything above 0

The domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Florida Fish and Wildlife is having problems with the growing population of Pythons in the Everglades.

As we can see in the graph the annual growth of the python population from the beginning of 2000 to 2010 is continuously increasing between 0 to 10,

Mathematically,

x ∈ [0, 10] or

0 ≤ x ≤ 10

Thus, the domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.

Learn more about the function here:

brainly.com/question/5245372

Answer:

Step-by-step explanation:

y = 2x - 1

x = 6

y = 3*6 - 1

y = 18 - 1

y = 17

(6,17)

9514 1404 393

Answer:

  (a)  (2x +36)° +(3x +14)° = 90°

  (b)  ∠C = 38°; ∠D = 52°; ∠E = 90°

Step-by-step explanation:

(a) Two acute angles are marked in a right triangle. We know the sum of angles in a triangle is 180°, so if one of those angles is 90°, the sum of the other two angles must be 90°. We can use that fact to write and equation for x.

  (2x +36)° +(3x +14)° = 90°

__

(b) We can collect terms, subtract 50 and ...

  5x +50 = 90 . . . . . . . collect terms, divide by °

  5x = 40 . . . . . . . . . . subtract 50

  x = 8 . . . . . . . . . .. divide by 5

∠C = (3x +14)° = (3·8 +14)° = 38°

∠D = (2x +36)° = (2·8 +36)° = 52°

∠E = 90°

_____

Angle E is marked as a right angle by the little square in that corner. The measure of a right angle is 90°, by definition.

Answer:

16cm

Step-by-step explanation:

The area of a square is calculated by perimeter * perimeter. 256 is made of 16*16

Answer:

you know that the Area of a square is calculated as S^2 or SxS

to find the side length just do square root of 256

wich is 16 cm

multiply by 4 and the perimeter is 16*4= 64

An equation is formed of two equal expressions. The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that a cup of coffee cost $2.50. Now, if the total cost of coffees is $22.50, then the number of cups of coffee that was purchased is,

Number of cups of coffee = Total bill amount / Cost of a coffee

Number of cups of coffee = $22.50 / $2..50

Number of cups of coffee = 9

A.) An equation for the total bill amount, y and total number of cups of coffee, x can be written as,

Total bill amount = Cost of a coffee × Number of cups of coffee

y = 2.50 × x

y = 2.50x

B.) The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

Answer:

35 % of 65 is 22.75 %

Step-by-step explanation:

35/100 = 0.35

0.35 x 65 = 22.75

therefore 35% of 65 is 22.75%

Answer:

there still parallel even if they rotated

Answer:

<1 = 43

<2= 17

<3= 120

<4=60

<5= 60

<6= 60

<7 =17

<8= 120

<9= 43

Step-by-step explanation:

< 4, <5, <6 are all 60

<3 and <4 are a linear pair, so they add to 180. Since <4 is 60, <3 is 180-60= 120

<6 and <8 are a linear pair, so they add to 180. Since <6 is 60, <8 is 180-60= 120

Angles 1 and 9 are congruent

4x+3=9x-47

50=5x

10=x

<1= 4(10)+4= 43

<9-9(10)-47=43

Now you have 2 angles for the triangle A B D- subtract the 2 known from 180

<2= 180-43-120=17

<7= 180-43-120=17

Answer:

the mid point is 6,3

Step-by-step explanation:

the mid point is 6,3