The table shows the relationship between the number of cups and total volume of lemonade served.
Cups of Total. Volume Lemonade Served
2 (ounces)
3 16
4 24
32
How many ounces is served per cup of lemonade?
Enter the answer in the box.
ounces per cup=​

Answer:

Step-by-step explanation:

Distribution comes first, so:

7y-9 = 2y-8+1

Then you simplify:

7y-9 = 2y-7

Then you subtract or add the lowest number with a letter:

5y-9 = -7

Now you get 5y alone, so we add the 9:

5y = 2

Then you divide 5y = 2 by 5

y = 2/5 or .4

Answer:

B

Step-by-step explanation:

Answer:

21, 18, 15

Step-by-step explanation:

First term = a1

Second term = a2

Third term = a3

a1 = 21

a2

= a + d

= 21 - 3

= 18

a3

= a + 2d

= 21 + 2 ( - 3 )

= 21 - 6

= 15

The first 3 terms are 21, 18, 15.

Step-by-step explanation:

A=2πrh+2πr^2

=2×22/7×3×6+2×22/7×3^2

=113.14+56.57

=169.71 m^2

Step-by-step explanation:

r = 3 cm

h = 6 cm

= 2 × 3.14 × 3² + 6 (2 × 3.14 × 3)

= 56.52 + 113.04

= 169.56 cm²

Answer:

1.

For triangle 1

[tex]a = 3\sqrt{5}[/tex]

For triangle 2

[tex]x = 2\sqrt{2}[/tex]

2.

Way 1

By reducing  the length of the side 4 to 3.60

Way 2

By increasing the length of side 7 to 7.21

Step-by-step explanation:

The complete question is attached in the image

Solution

1.

Both the triangles are right angled triangle

For triangle 1

[tex]7^2 = 2^2 + a^2\\49 = 4 + a^2\\a^2 = 45\\a = 3\sqrt{5}[/tex]

For triangle 2

[tex]4^2 = x^2+x^2\\2x^2 = 4*4\\x^2 = 8\\x = 2\sqrt{2}[/tex]

2.

Way 1

By reducing  the length of the side 4 to 3.60

Way 2

By increasing the length of side 7 to 7.21

Answer:

Length = 10 yards Width = 5 yards

Step-by-step explanation:

2w x w = 50 yards²

2w² = 50 yards²

2w²/2 = 50 yards² / 2

[tex]\sqrt{w^{2} }[/tex] = [tex]\sqrt 25 yards^{2}[/tex]

w = 5

Area = l x w

= 10 x 5 = 50

length = 2w

width = w

length = 2(5)

length = 10 yards

Answer:

The answer is 1.42!!!!!!

Step-by-step explanation:

Answer:

answer is 6x^2+17x+12

Step-by-step explanation:

3x(2x+3)+4(2x+3)=6x^2+9x+8x+12=6x^2+17x+12

Note: 2/75 = 0.0267 = 2.67% approximately

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

Explanation:

The states that start with "A" are:

We have four states out of 50 total. The probability of picking a state that starts with "A" is 4/50 = 2/25.

When rolling a single die, the possible outcomes are {1,2,3,4,5,6}. The subset {1,2} represents any time we roll less than three. There are 2 ways to roll less than three, out of 6 ways total. So we have a probability of 2/6 = 1/3 here.

We'll multiply the fractions to get our answer:

(2/25)*(1/3) = (2*1)/(25*3) = 2/75

Answer:

The Answer Is That "The Greatest Common Factor Of The Terms Is 1."

Step-by-step explanation:

Took The Test.

The polynomial is factorized and greatest common factor of the terms is 1

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

Let the polynomial be represented as A

Now , the value of A is

A = 30x² + 40xy + 51y²    be equation (1)

Now , the expression can be factorized as

The factors of 30 = 1 , 2 , 3 , 5 , 6 , 15 and 30

The factors of 40 = 1 , 2 , 4 , 5 , 8 , 10 , 20 and 40

The factors of 51 = 1 , 17 , 51

Therefore , the greatest common factor is 1

Hence , the factorized form of the equation is A = 30x² + 40xy + 51y²  

To learn more about factorization click :

https://brainly.com/question/804076

#SPJ7

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as a table or chart that shows the required data is not given.

To answer this, I will make use of the following frequency table

[tex]\begin{array}{cccccc}{Miles} & {1} & {1\frac{1}{2}} & {2} & {2\frac{1}{2}} & {3} \ \\ {Students} & {10} & {0} & {5} & {10} & {5} \ \end{array}[/tex]

From the above table.

[tex]2\frac{1}{2}\ miles \to 10\ students[/tex]

[tex]3\ miles \to 5\ students[/tex]

So:

[tex]2\frac{1}{2}\ or\ 3\ miles = 10+5[/tex]

[tex]2\frac{1}{2}\ or\ 3\ miles = 15\ students\\[/tex]

From the above table.

[tex]1\ miles \to 10\ students[/tex]

[tex]1\frac{1}{2}\ miles \to 0\ students[/tex]

So:

[tex]1\frac{1}{2}\ or\ 1\ miles = 0+10[/tex]

[tex]1\frac{1}{2}\ or\ 1\ miles = 10\ students[/tex]

The difference (d) is then calculated by subtracting the number of students in both categories

[tex]d = 15\ students - 10\ students[/tex]

[tex]d = 5\ students[/tex]

Answer: All I'm seeing is a blank screen I'm sorry can you try it again?

Answer:

nice black screen i like it

Step-by-step explanation:

Note 12 is the difference between the numbers..

hope it helps

Answer:

Step-by-step explanation:

Answer:

Solution given:

length [l]=breadth [b]=40ft

Now

length of concession banner[h]=?

we have

perpendicular [p]=base[B]=40ft

by using Pythagoras law

h²=p²+b²

h²=40²+40²

h=√3200

h=40√2

So

the length of the concession stand to determine if the school banner can fit across the length of the concession stand is 40√2 ft or 56.57ft

Answer:

[tex]y=-3x+5[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y= -3x -5[/tex]

With the given line, we can identify clearly that -3 is in the place of m, making it the slope. Because parallel lines have the same slopes, the slope of the line we're currently solving for would also be -3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-3x+b[/tex]

Plug in the given point (1,2) and isolate b

[tex]2=-3(1)+b\\2=-3+b[/tex]

Add 3 to both sides

[tex]2+3=-3+b+3\\5=b[/tex]

Therefore, the y-intercept of the line is 5. Plug this back into [tex]y=-3x+b[/tex]:

[tex]y=-3x+5[/tex]

I hope this helps!

Answer:

straight angle

i think straight angle is right answer

Answer:

A = [84]in^2

Step-by-step explanation:

5 x 3 = 15

4 x 2 = 16

9 + 4 = 13 x 4 = 52

52 + 15 + 16 = 84in

Answer:

14.14

Step-by-step explanation:

please find attached a diagram showing the stick and the jar

the length of the longest stick can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² + 10²

100 + 100 = 200

determine the square root of 200

= 14.14

Answer:

I would say its 0,2,4,6,....

Answer:

0,2,4,6....

Step-by-step explanation:

Since only they have the common difference between them, they are in the arithmetic sequence

Hope it helps you

Please mark as the brainliest

Thank You

Answer:

Whats the question?

Step-by-step explanation:

Answer:

Number of miles remaining for Jason to reach end of the path = 3/4 miles

Step-by-step explanation:

Total distance of the path = 12 1/4 miles

Distance reached by Jason's bike on the path = 11 1/2 miles

Enter the distance, in miles, Jason must ride to reach the end of the path.

Number of miles remaining for Jason to reach end of the path = Total distance of the path - Distance reached by Jason's bike on the path

= 12 1/4 miles - 11 1/2 miles

= 49/4 - 23/2

= (49-46) / 4

= 3/4 miles

Number of miles remaining for Jason to reach end of the path = 3/4 miles

Answer:There's the answer

Just open it

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

For one, it's negative so all positive answers can be eliminated.

Secondly, the y axis is hit on positive 3. No point even hits negative 3.

Knowing that, the only choice left is C.

Answer:

65°

Step-by-step explanation:

to find angles, use the inverse trig function (in this case, tan^-1)

tan^-1(5/12)

Answer:

65.4

Step-by-step explanation: