An 12-ounce bottle of orange juice costs $2.64. What is the cost of the orange juice per ounce?

Answer:

one solution

Step-by-step explanation:

Given the equations

1/4x + 1 1/2y =5/8 ..... 1

3/4x - 1 1/2y =3 3/8 ..... 2

Get the value of x

Add both equations

1/4x + 3/4x = 5/8+3 3/8

4x/4 = 5/8+27/8

x = 32/8

x= 4

Substitute x = 4 into equation 1

From 1;

1/4x + 1 1/2y =5/8 .

1/4(4) + 3/2 y = 5/8

1 + 3/2 y = 5/8

3/2 y = 5/8 - 1

3/2 y = -3/8

Cross multiply

24y = -6

y = -6/24

y = -1/4

Hence the solution {x,y) is (4, -1/4)

The system has only one solution

The amount of room he has for more games is 35. 3 times 40 = 120 - 85 = 35.

Answer:

just do that quik mafs

Step-by-step explanation:

Answer:

quadratic function can find and write with the vertex and function the graph better.

Step-by-step explanation:

Answer:

2.88

Step-by-step explanation:

24.95*12=299.4

299.4/104(bi-weekly training)=2.8788 This rounds to 2.88

Answer:$0.23

Step-by-step explanation:

Answer:

x^5/2 - 2x

Step-by-step explanation:

Cancel terms that are in both the numerator and denominator

2

Combine multiplied terms into a single fraction

3

Combine exponents

Answer: x^5/2 - 2x

Step-by-step

Answer:

k/j

Step-by-step explanation:

i just took the test, good luck!

Answer:

A circle of radius = 14 or diameter = 28 or circumference = 87.96 meters has an area of: 0.0006158 square kilometers (km²) 615.8 square meters (m²) 6.158 × 10 6 square centimeters (cm²) 6.158 × 10 8 square millimeters (mm²) 0.000237762 square miles (mi²) 736.491 square yards (yd²) 6628.42 square feet (ft²) 9.54492 × 10 5 square inches (in²)

Step-by-step explanation:

Answer:

113.97 degrees

Step-by-step explanation:

use the cosine rule for finding an angle

cosA = b^2 + c^2 - a^2

                 2bc

In the given triangle angle A is greatest than any other angle.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given sides of triangle, a=2cm,b=8cm,c=9cm

cosine law

Cos A =  [tex]\frac{-a^2 + b^2 + c^2}{ 2bc}[/tex] = [tex]\frac{64 + 81 - 4 }{2 * 8 *9}[/tex] = 141/ 144

Cos B =  [tex]\frac{a^2 - b^2 + c^2}{ 2ac}[/tex] = [tex]\frac{4 + 81 - 64}{2 * 2 *9}[/tex] = 21/36

Cos C = [tex]\frac{a^2 + b^2 - c^2}{ 2ab}[/tex] = [tex]\frac{4 + 64 -81}{2 * 2* 8}[/tex]  =  -13/52

A = Cos⁻¹ (141 /144 )

B = Cos⁻¹ (21/ 36 )

C = Cos⁻¹ (-13/52 )

Thus Angle A < Angle B < Angle C.

Therefore, Angle A is the greatest in the triangle.

Learn more about triangles here:

https://brainly.com/question/14712269

#SPJ2

Answer:

180

Step-by-step explanation:

Answer: the correct answer is 125°

Step-by-step explanation: i just had to get it wrong so i could get it right

Answer:

8'2

Step-by-step explanation:

Answer:

8'2

Step-by-step explanation:

Answer:

2 years

Step-by-step explanation:

because 4.5 percent of 9000 is 405

405 times 2 is 810

so 2 years

Answer:

c would be the closest

Step-by-step explanation:

All triangles equal 180*. so if you combine the 2 angles, which adds up to 77* then that would leave the third angle to be 103* but since that isnt an option choose c since its the closest.

Answer:

The natural logarthim of a negative is undefined.

Answer:

A. 1/5k - 2/3j and -2/3j +1/5k

Step-by-step explanation:

A. 1/5k - 2/3j and -2/3j +1/5k

B. 1/5k - 2/3j and -1/5k +2/3j

There is a change in the signs of each term

1/5k changed to -1/5k

-2/3j changed to +2/3j

Not equivalent

C. 1/5k - 2/3j and 1/5j - 2/3k

There is a change in the variables

1/5k changed to 1/5j

-2/3j changed to -2/3k

D. 1/5k - 2/3j and 2/3j - 1/5k

The is a change in the signs of each term

1/5k changed to -1/5k

-2/3j changed to +2/3j

The only equivalent expression is

A. 1/5k - 2/3j and -2/3j +1/5k

Answer:

Bill amount = Rs. 1050

CGST share = SGST share = Rs. 25

Step-by-step explanation:

We are told that the GST charged was 5% and cost of a pair of shoes is Rs. 1000. Thus;

Bill amount = 1000 + (5/100) × 1000

Bill amount = Rs. 1050

Now, CGST and SGST are both usually half of GST rate.

Thus;

CGST rate = SGST rate = 5%/2 = 2.5%

Thus;

CGST share = SGST share = 2.5% × 1000 = Rs. 25

Answer: 30 students liked both.

step-by-step explanation: If there are 65 students and 10 liked math but not english you subtract 10 from 65, you get 55. You continue to the next one, 55-20= 35, now there are 35 students but 5 of those students don't like either, so 35-5=30, meaning there are 30 students that like both english and math. I hope this helps.

Answer:

-12,-2,8,48

Step-by-step explanation:

y=10x-2

If x is -1,

10(-1)-2

is -12

so y = -12.

The four boxes are -12,-2,8,48

Hope this helps plz hit the crown :D

Answer:

for finding the parallel line its y= 5x+6

Step-by-step explanation:

for the slope and y intercept its slope+5

y intercept its (0,8)

hopes this helps.

Answer:

[tex] A_1 = 12[/tex]

[tex] A_4=21[/tex]

[tex] A_{10}= 39[/tex]

Step-by-step explanation:

[tex]A_n = 12+(n-1)(3) \\ \\ plug \: n = 1 \\ A_1 = 12+(1-1)(3) \\ = 12 + 0(3) \\ = 12 + 0 \\ \red{ A_1= 12} \\ \\ plug \: n = 4\\ A_4 = 12+(4-1)(3) \\ = 12 + 3(3) \\ = 12 + 9 \\ \purple{ A_4= 21} \\ \\ plug \: n = 10\\ A_{10} = 12+(10-1)(3) \\ = 12 + 9(3) \\ = 12 + 27 \\ \orange{ A_{10}= 39} \\ \\ [/tex]

Answer:

I’m pretty sure the answer to this would be 11- but it could also be eight so check that but I’m pretttyyyy sure it’s 11. I hope that helps you

Step-by-step explanation:

Answer:

882-28282=9191

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer: 25.9

Step-by-step explanation:

Step-by-step explanation:

number of minutes I guess

Answer:

2) 76

3)  64

Step-by-step explanation:

Answer:

The price of an adult ticket is $9 and the price of a student ticket is $6

Step-by-step explanation:

Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:

2x + 7y = 60

3x + 11y = 93

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:

6x + 21y = 180

-6x - 22y = -186

Add them together:

-y = -6

y = 6

Then, plug in 6 as y into one of the equations to solve for x:

2x + 7y = 60

2x + 7(6) = 60

2x + 42 = 60

2x = 18

x = 9

So, the price of an adult ticket is $9 and the price of a student ticket is $6