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]\sqrt{180}[/tex] and [tex]6\sqrt{5}[/tex]

Step-by-step explanation:

The easiest way to solve this problem is to look at all the simplified radicals on the right. Then un-simplify them by bringing the coefficients under the radical. If the radican (value under the radical) of the radical on the right is equal to the radican on the left, then the two radicals are equal.

To un-simplify a radical, one will square the coefficients and then multiply that value by the current radican of expression. The result is the un-simplified value of the radical.

A.

[tex]3\sqrt{15}\\\\= \sqrt{15*(3)^2}\\\\=\sqrt{15*9}\\\\=\sqrt{135}[/tex]

[tex]\sqrt{45} \neq \sqrt{135}\\\sqrt{45} \neq 3\sqrt{15}[/tex]

B.

[tex]3\sqrt{5}\\\\=\sqrt{5*(3)^2}\\\\=\sqrt{5*9}\\\\=\sqrt{45}[/tex]

[tex]\sqrt{75} \neq \sqrt{45}\\\sqrt{75} \neq 3\sqrt{5}[/tex]

C.

[tex]9\sqrt{6}\\\\=\sqrt{6*(9)^2}\\\\=\sqrt{6*81}\\\\=\sqrt{486}[/tex]

[tex]\sqrt{54} \neq \sqrt{486}\\\sqrt{54} \neq 9\sqrt{6}[/tex]

D.

[tex]6\sqrt{5}\\\\=\sqrt{5*(6)^2}\\\\=\sqrt{5*36}\\\\=\sqrt{180}[/tex]

[tex]\sqrt{180}=\sqrt{180}\\\sqrt{180}=6\sqrt{5}[/tex]

The number of people who could be expected to buy a flag using the expression (22/200) x 25,000 is 2,750.

Option D is the correct answer.

We have,

Based on the table,

The number of people who could be expected to buy a flag out of 25,000 visitors is:

(22/total items sold) x 25,000

To find the total items sold, you can add up the number of caps, jerseys, flags, and programs:

Total items sold.

= 68 + 19 + 22 + 91

= 200

The number of people who could be expected to buy a flag is:

(22/200) x 25,000 = 2,750

Thus,

The number of people who could be expected to buy a flag is 2,750.

Learn more about expressions here:

https://brainly.com/question/17121675

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The complete table is given below:

Item          Number of people

Cap           68

Jersey       19

Flag           22

Program    91

Answer:.

Step-by-step explanation:

Answer:

Im guessing this is for a coordinate plane

Tommy was at school which is located at (4,9) how many square units or blocks does he need to walk to get home?(his home is located at 1,18)

Step-by-step explanation:

Hope this help and have a great day! <3

Answer:

3 squared 13 took the test

Step-by-step explanation:

Answer:

3 squared 13

reason:

you should know this if you tooktn notes

Answer:

9 1/3

Step-by-step explanation:

6 2/3 + 2 2/3 = ?

6 + 2 = 8

2/3 + 2/3 = 4/3 = 1 1/3

8 + 1 1/3 = 9 1/3

Sharon skated for 9 1/3 hours.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer: 15

Step-by-step explanation:

no

Answer:

15

Step-by-step explanation:

ITS RIGHT

Answer:

3 feet

Step-by-step explanation:

the volume of the aquarium is V= Lx wx H  

it is as of now given that V=11.25 cubic feet, so 11.25=LxWxH  

H tallness and it is the aquarium's profundity  

H=11.25/L xW= 11.25/2.5x1.5= 3 feet

Answer:

The depth is 3 ft

Step-by-step explanation:

The equation for volume is V = length * height * depth

change the equation for depth

depth = volume / (length * height)

fill the equation and solve

depth = 11.35 / (2.8 * 1.5)

depth = 11.35 / 4.2

depth = 2.70238095 rounded to 3

Answer:

1437.33 cm^3 , 75.4 km^3

Step-by-step explanation:

1.

V = (lwh)/3

V = (14 x 14 x 22)

V = 1437.33 cm^3

2.

V = [tex]\pi r^{2} \frac{h}{3}[/tex]

V= [tex]\pi 3^{2} \frac{8}{3}[/tex]

V = 75.4 km^3

Answer:

b?

Step-by-step explanation:

if I'm wrong sorry I'm just answering questions even if I dont 100% know

Answer:

I believe you're right good luck

Answer:

the answer is 17a

Step-by-step explanation:

I took the quiz

Answer:

4 pizzas

Step-by-step explanation:

Equation:

12x + 7 = 55

12x = 55 - 7

12x = 48

x = 4

Answer:

12 gallons

Step-by-step explanation:

If it takes 20 h for 5 gallons to be filled, it takes 4 h for 1 gallon to be filled. This is the ratio. You multiply 4 h by 12 to get 48 h, so you multiply 1 gallon by 12 as well. This is 12 gallons.

Answer:

3/8

Step-by-step explanation:

since you can't have 1.5/4, which was how much he Josh put on each day, you have to multiply the denominator and the numerator for a more complex fraction. So 1.5/4 x 2 for both = 3/8.

..............

producers

Answer: (-3,-6)

Step-by-step explanation:

9514 1404 393

Answer:

  d

Step-by-step explanation:

A relation is NOT a function if the same input value maps to multiple output values.

Any relation that has an input with multiple arrows from it is not a functional relation. The diagram below is NOT a function.

Answer:

p = -4 q = 2

Step-by-step explanation:

hope my explanation is understandable lol

Answer:

3/10

Step-by-step explanation:

4/15+x=17/30

x=17/30-4/15

x=17/30-8/30

x=9/30

simplify

x=3/10

Answer:

binomial

Step-by-step explanation:

there are two terms, "11x" and "20"

Answer:

See Explanation

Step-by-step explanation:

Let us assume that [tex] \sqrt 3 - \sqrt 5[/tex] is a rational number.

So, it can be expressed in the form of [tex] \frac{p}{q} [/tex] where p and q are integers.

[tex]\therefore \sqrt 3 - \sqrt 5=\frac{p}{q}[/tex]

[tex]\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5[/tex]

[tex]\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}[/tex]

Squaring both sides:

[tex] (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 [/tex]

[tex]\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } [/tex]

[tex]\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}[/tex]

[tex]\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq [/tex]

[tex]\therefore - 2\sqrt 5 pq=p^2 +2q^2 [/tex]

[tex]\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) [/tex]

[tex]\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex]

Since, p and q are integers so [tex] - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex] is rational.

[tex]\therefore \sqrt 5 [/tex] is also rational.

But it contradicts the fact that [tex]\sqrt 5 [/tex] is irrational.

Hence, our assumption that [tex] \sqrt 3 - \sqrt 5[/tex] is rational is wrong.

[tex] \therefore \sqrt 3 - \sqrt 5[/tex] is irrational.

Answer:

13.5 inches

Step-by-step explanation:

after 5 hours = 6 inches

11 - 5 = 6 hours to go

1.25 x 6 = 7.5 inches

7.5 + 6 = 13.5 inches

Answer:

95tan35°

Step-by-step explanation:

Find the diagram attached

Given the following

Adjacent = 95m

Opposite = height of the tower

Angle of elevation  = 35degrees

Using SOH CAH TOA

tan theta = opp/adj

Tan 35 = h/95

Cross multiply

95 * tan 35 = h

95tan35 = h

Swap

h = 95tan35

Hence then the height of the tower in terms of trigonometric ratios is 95tan35°

Answer:

160 in^3

Step-by-step explanation:

To find the volume, you do the base x height. If the base if 20 in^2 and the altitude is 8 in, then the volume is 20 * 8 in^3

20 * 8  = 160