A recipe for fruit calls for 2 cans of pineapple juice and 3 cans of orange juice. Hiri is making a large batch for a community function and uses 72 cans of orange juice. How many cans of pineapple juice should he use?

Answer:

  54

Step-by-step explanation:

The Pythagorean theorem applies.

  (x +36)^2 = 72^2 + x^2

  x^2 +72x +1296 = x^2 +5184

  72x = 3888 . . . . . . subtract x^2+1296

  x = 54 . . . . . . . . . . . divide by 72

Answer:

Step-by-step explanation:

Method 1 ; Prime factorization

[tex]7 ,12\\\mathrm{Prime\:factorization\:of\:}7:\quad 7\\\mathrm{Prime\:factorization\:of\:}12:\quad 2\cdot \:2\cdot \:3\\= 847\times\:2\times\:2\times\:3\\= 84[/tex]

Method 2 ;Multipliers

[tex]\mathrm{The\:multipliers\:of\:}7\\=7,\:14,\:21,\:28,\:35,\:42,\:49,\:56,\:63,\:70,\:77,\:84,\:91,\:98,\:105...\\\\\mathrm{The\:multipliers\:of\:}12\\=12,\:24,\:36,\:48,\:60,\:72,\:84,\:96,\:108,\:120,\:132,\:144,\:156,\:168,\:180...\\\\\mathrm{The\:smallest\:common\:number\:is} \\=84[/tex]

Method 3 ; Using GCD

[tex]lcm\left(a,\:b\right)=\frac{|a\cdot b|}{gcd\left(a,\:b\right)}\\\\\mathrm{Greatest\:Common\:Divisor\:of\:}7,\:12:\quad 1\\=\frac{\left|7\times\:12\right|}{1}\\\\= 84[/tex]

Answer: You switch the point in the x-axis to the negative/positive of the number.

Step-by-step explanation:

So for example if you have the point (3,7), you would switch the 3 to -3 and you would keep the y the same.

Hope this helps!

Answer:

____________

the answer is B

___________

explanation

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(x^2 - 2x) - 3xy + 6y

Factor out the greatest common factor (GCF) from each group.

x(x - 2) - 3y (x - 2)

Factor the polynomial by factoring out the greatest common factor, x - 2

(x - 2) (x - 3y)

Answer:

Step-by-step explanation:

your answer would be B.

add and subtract the second turn to the expression and Factor by grouping

Answer:

i'm not sure what the statements are but here is some information

p + j + m = 3000

1533 + 837 + m = 3000

m = 630

Marina has 630 cards

Answer:

Hey there!

8MB=3780 songs

16MB=3780(2), or 7560 songs.

If there are 12 songs per album, the 16MB music file can store 7560/12, or 630 albums.

Let me know if this helps :)

Answer:

(-3/2, 5)

Step-by-step explanation:

(x₁ + x₂) / 2 , (y₁ + y₂) / 2

(-4 + 1) / 2 , (6 + 4) / 2

-3/2 , 10/2

(-3/2, 5)

Answer:

B

Step-by-step explanation:

all the other ones are either 50 - 12 or 50 + 12, but B is the total amount of money (x) minus 50($) is 12($).

not sure if that makes sense.

Answer:

Step-by-step explanation:

Answer:

-3a + 6 + 36a = 32a + 4

a = - 2

Answer:

-24 or B

Step-by-step explanation:

Because is she rises up 4, it is +4. Then subtract 28 from 4. That makes it -24.

The integer represents Gemma’s position with respect to sea level 24.

We have given that,

Gemma, a scuba diver, begins a dive on the side of a boat 4 feet above sea level. She descends 28 feet.

An integer is colloquially defined as a number that can be written without a fractional component.

We have to determine which integer represents Gemma’s position with respect to sea level

Because if she rises up 4, it is +4.

Then subtract 28 from 4. That makes it -24.

To learn more about the integer visit:

https://brainly.com/question/17695139

#SPJ5

Answer:x=12 and 68$

Step-by-step explanation:

Answer: Choice B

Coffee Brand A is a better buy because its unit rate is $0.44 per ounce

=======================================================

Explanation:

Brand A is sold for $6.99 per pound, which is the same as saying $6.99 per 16 ounces. The unit rate is 6.99/16 = 0.436875 = 0.44 dollars per ounce

Brand B is sold for $5.69 for 12 ounces. The unit rate is  5.69/12 = 0.47416 = 0.47 dollars per ounce

Brand A is cheaper per ounce compared to brand B.

------------------

Here's another way we can look at it

Brand A is $6.99 per 16 ounces. We can set up the equation below

6.99 dollars = 16 ounces

then divide both sides by 16 to turn "16 ounces" into "1 ounce"

So,

6.99 dollars = 16 ounces

6.99/16 dollars = 16/16 ounces

0.436875 dollars = 1 ounce

0.44 dollars = 1 ounce

is the unit rate for brand A.

Similar steps would happen with brand B as well.

Step-by-step explanation:

Hey there!!

The cost of 6 orange = nu.48

The cost of 1 orange = nu.48/6

= nu.8

Therefore, the cost of each orange is nu.8.

Hope it helps...

Answer:

y < 5/3x -3

Step-by-step explanation:

Used Desmos graphing calculator :)

Answer:

W= -3

Step-by-step explanation:

3w=6+5w

-5w on each side

-2w=6

Divide by - 2 on each side

W=-3

Answer:

Infinite Solutions.

Step-by-step explanation:

3x+2y=8 for x:

3x+2y=8

3x+2y+−2y=8+−2y(Add -2y to both sides)

3x=−2y+8 3x 3 = −2y+8 3 (Divide both sides by 3)

x= −2 3 y+ 8 3

Substitute −2/3y + 8/3 for x in 4.5x+3y=12:

4.5x+3y=12

4.5( −2/3y+ 8/3 )+3y=12

12=12(Simplify both sides of the equation)

12+−12=12+−12(Add -12 to both sides)

0=0

Infinitely many solutions.

Answer:

Infinite Solutions.

Step-by-step explanation:

3x+2y=8 for x:

3x+2y=8

3x+2y+−2y=8+−2y(Add -2y to both sides)

3x=−2y+8 3x 3 = −2y+8 3 (Divide both sides by 3)

x= −2 3 y+ 8 3

Substitute −2/3y + 8/3 for x in 4.5x+3y=12:

4.5x+3y=12

4.5( −2/3y+ 8/3 )+3y=12

12=12(Simplify both sides of the equation)

12+−12=12+−12(Add -12 to both sides)

0=0

Infinitely many solutions.

Answer:

The answer is c.

Answer:

Step-by-step explanation:

Option 1

[tex]\left|-0.2\right| = 0.2\\\\\mathrm{Apply\:absolute\:rule}:\quad \:|-a|=a,\:\quad \:a>0\\\\0.2 =0.2\\\\True[/tex]

Option 2

[tex]-\left|0.2\right| = 0.2\\\mathrm{Apply\:absolute\:rule}:\quad \:|a|=a,\:\quad \:a\ge 0\\\\-0.2 =0.2\\False[/tex]

Option 3

[tex]\left|0.2\right| =0.2\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0\\\\0.2 =0.2[/tex]

Option 4

[tex]-\left|0.2\right| =- 0.2\\\mathrm{Apply\:absolute\:rule}:\quad \:|a|=a,\:\quad \:a\ge 0\\\\-0.2 =-0.2\\True[/tex]

Answer:255.601

Step-by-step explanation:

Answer:

$12.90

Step-by-step explanation:

Before Tax Price: $12.00

Sale Tax: 7.50% or $0.90

After Tax Price: $12.90

Step-by-step explanation:

100+(100*30/100)

=100+30

=130

Answer:

=£130

Step-by-step explanation:

£100=100%

= 130% I add 30 to 100

130×100÷100=130

=£130

Answer:

D can be used

Step-by-step explanation:

Answer:

C(r) is the area of the base of a cylindrical tank with radius r.

We know that this area is:

C(r) = pi*r^2

S(x) is the area of the square base where x is the side length of the base.

S(x) = x*x

Now, we have the expression:

S( C(r)) wich means that we are evaluating the function S(x) in the point x = C(r)

Now, we have a problem here.

In S(x), S(x) is in units of area, and x is in units of length.

And the same for C(r), C(r) is in units of area, and r in units of length.

then we can not have x = C(r)

Then this expression does not represent anything, because the units do not match, so it has no physical sense.

Answer:

x = 34

Step-by-step explanation:

(x - 9(16/8)) = 16

(x - 9(2)) = 16                        Divide 16 and 8

x - 18 = 16                             Multiply 9 and 2

x = 34                                   Add 18 to both sides

Answer:

56

Step-by-step explanation:

Answer:

62*50=3100

enjoy

Answer:

x = 79.

Step-by-step explanation:

Simplify both sides of the equation, then isolate the variable.

Answer: The answer is C, and D.

Answer: The answer is actually C D and E

Step-by-step explanation:

I tried what the person said was “correct” and got it wrong

Answer:

x is 7

Step-by-step explanation:

-3-(-8)-(-2) = x

             7 = x