here are three different recipes for orangey- pineapple juice. Two of these mixtures taste the same and one tastes different.
Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice
Recipe 2: Mix 6 cups of orange with 9 cups of pineapple juice
Recipe 3: Mix 9 cups of orange with 12 cups of pineapple juice

Which two recipes will taste the same, and which one will taste different? Explain or show your reasoning

Answer:

6-43/4-21/8

6(-68-21/8)

48-107/8

-59/8

Step-by-step explanation:

[tex] \tt{} - 4 \frac{2}{3} \times (2 \frac{1}{4} ) + 3 \frac{5}{6} [/tex]

[tex]\tt{} - \frac{14}{3} \times \frac{9}{4} + \frac{23}{6} [/tex]

[tex]\tt{} - 7 \times \frac{3}{2} + \frac{23}6[/tex]

[tex]\tt{} - \frac{21}{2} + \frac{23}{6} [/tex]

[tex]\tt{} - \frac{20}{3} [/tex]

[tex]\tt{} - 6 \frac{2}{3} [/tex]

Factorization is the process of breaking an integer down into its components or divisors, and further calculation can be defined as follows:

Given:

[tex]20x^{2} +124x+24[/tex]

To find:

solve the given problem

Solution:

[tex]\to \bold{20x^{2} +124x+24}\\\\\to \bold{4(5x^{2} +31x+6)}\\\\\to \bold{4(5x^{2} +31x+6)}\ \ \ \ \ \ \ \ \ \ \ 5\times 6= 30 \ \ and\ \ 30 \times 1= 30\\\\\to \bold{4(5x^{2} +(30+1)x+6)}\\\\\to \bold{4(5x^{2} +30x+1x+6)}\\\\\to \bold{4(5x(x +6)+1(x+6)}\\\\\to \bold{4((x +6) (5x+1)}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{4((x+6)(5x+1))}[/tex]".

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Answer:

9

Step-by-step explanation:

f(x) = (x+1) ^2

f(2) = (2+1)^2

f(2) = 3^2 = 9

Answer:

Slope = 9

Step-by-step explanation:

Point (3,27) and (5,45)

m = (45-27)/(5-3)

18/2 = 9

Answer:

9

Step-by-step explanation:

To find the slope of a line, one of the methods is to look for the rise over run, or the change in y over the change in x. If we just look at the first few numbers on the chart, we can see that the change in y (for the first two numbers) is 18, and the change in x (for the first two numbers) is 2. So our slope is 18/2, or 9.

I think this is correct, I hope it helped!! :3

Answer:

fewfefdfgtrusergwer h4yr sfd gw gr.

Step-by-step explanation:

The number of students who attended the orientation in that considered university was 432

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, first, let we assume the number of male students and female students who attended the orientation:

From the description, we have:

m = 5 times n = 5n

and

(m - 324)'s twice = n

or 2(m-324) = n

Thus, we get system of two equations as:

[tex]m = 5n\\2(m-324) = n[/tex]

Substituting value of m from first equation in second, we get:

[tex]2(5n - 324) = n\\10n -648 = n\\\\n = \dfrac{648}{9} =72[/tex]

Putting this value of n back in first equation, we get:

[tex]m = 5n = 5 \times 72 = 360[/tex]

Assuming that there were only two gendered students in university orientation (males and females), we get:

Total number of students who attended the orientation = m + n = 360 + 72 = 532

Thus, the number of students who attended the orientation in that considered university was 432

Learn more about system of equations here:

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Answer:

3 miles

Step-by-step explanation:

2 divided by 2 is 1 and 6 divided by 2 is 3.

Answer:

-0.88

Step-by-step explanation:

(w^2/x - 3)÷ 10.z

(-6/1.2 - 3)÷ 10. -6/7

(-5-3)÷ 9.14

(-8)÷ 9.14

-8/9.14

= -0.88

Answer:

your answer is going to be -158

Step-by-step explanation:

(5)-(3)^2+7×-22=-158

Answer:

yes, no because it's not a decimal with only one digit in front of the decimal mark, no because the decimal point is too far forward.

A:

i:

5.1 x 10^6

9.75 x 10^10

1.2 x 10^-7

5.008 x 10^-6

ii:

a. 3200000000000

b. 50700

c. 0.00056

d. 0.083

B:

3,2,4,1

1,2,3,4 -ik but it's what i got

1,3,4,2

C:

uranus, neptune, saturn, jupiter

answer choice B

D:

8 x 10^-5

9 x 10^6

3 x 10^-5

7 x 10^-5

5.5 x 10^5

3.2 x 10^5

8.2 x 10^5

7.3 x 10^-3

0.0000832

3120000

0.009

0.0085

8000000

0.05

0.067

57.5

Step-by-step explanation:

9514 1404 393

Answer:

  k = -7

Step-by-step explanation:

Attached are both synthetic division and remainder theorem solutions. Either way, you find the remainder is k+11, which you want to have a value of 4.

  k +11 = 4

  k = -7 . . . . . subtract 11 from both sides

_____

The second attachment shows the long division that validates this result.

Answer:

(16y)^2

16y^2

--> 256y

Step-by-step explanation:

Step-by-step explanation:

(3/9) × (-2/3

=> {3×(-2)}/(9×3)

=> (-6/27). Ans.

Or

(3/9) × (-2/3)

=> -2/9 Ans.

[tex] \begin{cases}{{ \large{ \blue{ \rm{{↬}}}}}} \: \rm \large \: \: 3 \: - \: 1 \times \frac{3}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{3}{1} \: - \: \frac{11}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{24 \: - \: 11}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{13}{8} \end{cases}[/tex]

Step-by-step explanation:

Answer:-6 and -4

Step-by-step explanation:

Answer:

0.30702

Have a good day.

Answer:

0.030567

Step-by-step explanation:

carry on learning

Answer:

Reason 1 ) Subtraction Property of Equality

Reason 2 ) Substitution Property of Equality

Statement 3 ) 9x - 54 = 34

Reason 4 )  Addition Property of Equality

Reason 5 )  Division Property of Equality

Step-by-step explanation:

Answer:

NE = 37

MD = 3[tex]\sqrt{65}[/tex]

Step-by-step explanation:

NOTE: This explanation assumes you have basic knowledge of circumcenters, the Pythagorean Theorem, and pre-algebra

Assuming the calculations you so kindly did for us are correct:

To find NE

Simply plug x, which you found was 5, into the equations 13x-28, then you have the length of the line NE, which is 37.

So

NE = 37

To find MD

A little bit trickier, but still simple. You end up having to use the Pythagorean Theorem. Since NE = ME, you know that ME is equal to 37. Since triangle MED is a right triangle, and you're given on the the side ED (which is 28), and the hypotenuse, ME (which is 37), you can say that

28^2 + b^2 = 37^2

784 + b^2 = 1369

b^2 = 585

b = 3[tex]\sqrt{65}[/tex]

(In which b is MD)

So

MD = 3[tex]\sqrt{65}[/tex]

Answer:

It would be B because that is the only answer that contains a inequality symbol.

Step-by-step explanation:

Answer:

Option A is a Linear Pair

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable x is 1.

Answer:

Steps To Convert From Base 10 to Base 2-

Divide the given number (in base 10) with 2 until the result finally left is less than 2.

Traverse the remainders from bottom to top to get the required number in base 2.

Hope this helps you get the answers!

Answer:

I suppose you want the answers for x and y, so here they are. x=-7/3, while y=1.

Step-by-step explanation: I just factored depending on the variable I mainly focused on.

Answer:

24 ÷ 0.012 =2000

Step-by-step explanation:

24 ÷ 0.012

= 2000

[tex]\left \{ {{7x+6\:\:\:\:\:\:x<0} \atop {7x+12\:\:\:\:x\geq 0}} \right.[/tex]

[tex]f(-1)[/tex]

Solve

[tex]-7\cdot \:1+6x<0[/tex]                          Swap the negative sign

[tex]-7+6x<0[/tex]                               Multiply the numbers

[tex]-7+6x+7<0+7[/tex]                  Add 7 to both sides

[tex]6x<7[/tex]                                       Simplify

[tex]\frac{6x}{6}<\frac{7}{6}[/tex]                                       Divide both sides by 6

[tex]x<\frac{7}{6}[/tex]                                        Simplify

[tex]-7\cdot \:1+12x<0[/tex]                     Swap the negative sign

[tex]-7+12x<0[/tex]                          Multiply the numbers

[tex]-7+12x+7<0+7[/tex]              Add 7 to both sides

[tex]12x<7[/tex]                                   Simplify

[tex]\frac{12x}{12}<\frac{7}{12}[/tex]                                  Divide both sides by 12

[tex]x<\frac{7}{6}[/tex]                                      Simplify

Answer:

D.15r7

Step-by-step explanation:

multiplying two negatives equals a positive: (-)x(-)=(+)

-3rx(-5r^6)

simplifing to

3rx5r^6

then combime like terms to get

15r7

Answer:

IJ units

Step-by-step explanation:

What else is there..?

Answer:

f(x) = x - 2

Step-by-step explanation:

If you notice, the f(x) or y value is 2 less than the x value for every x value listed. This means that x - 2 = y. Just by rearranging this equation, you are given an equation in the linear form y = mx + b:

y = x - 2

Since the y coordinate is being represented by f(x) in the equation, as it is a function, the answer would be:

f(x) = x - 2

The total amount Holla paid for the shirt is: B. $18.74

Given the following data:

To find the total amount she paid for the shirt:

First of all, we would determine the discount on the shirt:

[tex]Discount = \frac{20}{100} \times 22\\\\Discount = 0.2 \times 22[/tex]

Discount cost = $4.4

[tex]Selling\; price = Cost\;price - Discount \\\\Selling\; price = 22 - 4.4[/tex]

Selling price = $17.6

Next, we would determine how much tax is to be paid:

[tex]Tax \;cost = \frac{6.5}{100} \times 17.6\\\\Tax \;cost = 0.065 \times 17.6[/tex]

Tax cost = $1.444

[tex]Total\;amount = selling \;price + tax\;cost\\\\Total\;amount = 17.6 + 1.444[/tex]

Total amount = $18.74

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Answer:

First number is 63

Second is 5

Last is 6

Step-by-step explanation:

First mutiply both sides by 9:

9(5/9x + 7 = 2/3)

Then simplify:

5x + 63 = 6

For your layout it is:

63 + 5x = 6