Sam filled 4 large bottles and 6 small bottles with 6.8 litres of orange juice . Each large bottle could hold 0.5 litres more than each small bottle. How much orange juice can a small bottle hold?

Answer:

104

Step-by-step explanation:

There are two ways to do it, though we need to know how it is affected.

20+6=26

26+6=32

32+6=38

38+6=44

Thus, you are adding 6 for each term.

1. You do it manually...(yes.)

I'll number it one by one

1.20

2.26

3.32

4.38

5.44

6.50

7.56

8.62

9.68

10.74

11.80

12.86

13.92

14.98

15.104

The 15th term is 104.

2. This method is easier. As shown above, there is a pattern. We can apply it using this formula:
20+6(n-1)

You can get this formula from the facts that:
-you start off with an additional added 8

-you add 6 every time

-if we do it 6n then it would be incorrect, with an extra 6 for each

-the formula is correct; you can test it for terms 2,3,4,5 like this:

20+6=26

20+2x6=32

20+3x6=38

20+4x6=44

To find the 15th term, you can:

20+14x6=20+84=104.

Answer: C= -2

Step-by-step explanation:

Answer:

C. -2

Step-by-step explanation:

5x + 2(x − 4) = 5x + x − 10

Subtract 5 from both sides,

5x + 2(x - 4) - 5x = 5x + x - 10 - 5x

Simplify,

2(x - 4) = x - 10

Distribute,

2x - 8 = x - 10

Add 8 to both sides,

2x - 8 + 8 = x - 10 + 8

Simplify,

2x = x - 2

Subtract x from both sides,

2x - x = x - 2 - x

Simplify,

x = -2

Answer:

1000÷50%=2000

Step-by-step explanation:

hope it helps

The required simplified value of R is 2000, as of the given percentage.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Let the required value be R,
50% of R = 100
R = 100 / 50%
R = 100 / 0.50
R = 2000

Thus, the required value of R is given as 2000.

Learn more about percentages here:

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Answer:

x=3 and y=4

Step-by-step explanation:

x+y=7;x+2y=11

Step: Solvex+y=7for x:

x+y=7

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxinx+2y=11:

x+2y=11

−y+7+2y=11

y+7=11(Simplify both sides of the equation)

y+7+−7=11+−7(Add -7 to both sides)

y=4

Step: Substitute4foryinx=−y+7:

x=−y+7

x=−4+7

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=4

Answer:

Step-by-step explanation:

The values of angles are written below,

a° = 121°

b° = 53°

c° = 87°

d° = 72°

The Inscribed Angle Theorem: This theorem states that the measure of an inscribed angle in a circle is equal to half the measure of the intercepted arc.

In other words, if an angle is formed by two intersecting chords in a circle, the measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.

The values of angles are calculated as,

a = (2 x 108 ) - 9 5

a = 121°

b = 360 - ( 121 + 95 + 91 )

b = 53°

c = (121 + 53 ) / 2

c = 87°

d = ( 91 + 53 ) /2

d = 72°

Therefore, the values are a = 121°, b = 53°, c = 87°, and d = 72°.

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Answer:

See attached picture

Step-by-step explanation:

Hope this helps! :)

Answer:

7.8

Step-by-step explanation:

3.2 + 4.6 = 7.8 because 6+2 equals 8 and 4+3 equals 7 so 7.8

Answer:

sin θ = 9 / 36 = 1/4

θ = 14.48 deg    (ans C)

Answer:

x=15
y=2

Step-by-step explanation:

the scale factor is 6:1

if you divide 12 by 6 you get 2
so y=2

if you multiply 6 by 2.5 you get 15
so x=15

Answer:

[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]

Step-by-step explanation:

To find the transpose all we do is change the rows into the columns and change the columns into rows.

So simply:

[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]

Answer:

Flip the elements around, aka, transpose!

[8 2 3]

[6 -5 1]

[1 8 4]

Answer:

{x : x > 5}

Step-by-step explanation:

-4x - 5 < -25

-4x < -20

When dividing/multiplying both sides with a negative number, change the inequality symbol to the opposite direction. e.g. < to > or > to <.

x > -20/-4

x > 5

Hence, the solution set is {x : x > 5}.

Option C) 301 ft³ is the correct answer.

Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.

This question is incomplete, the missing image is uplaoded along this answer.

Volume simply the amount of space enclosed within a container.

The volume of a cylinder can be expressed as;

V = πr²h

Where r is the radius of the base of the cylinder, h is its height and π is pi ( π = 3.14)

Given the data in the question;

To determine the closest to the amount of fuel the tank can hold, we substitute our given values into the expression above.

V = πr²h

V = 3.14 × (4ft)² × 6ft

V = 3.14 × 16ft² × 6ft

V = 301.44ft³

V = 301 ft³

Option C) 301 ft³ is the correct answer.

Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.

Learn more about volume of cylinder here: https://brainly.com/question/16788902

Answer:

It's 3.5

(from the answer 3.464101615)

Hope this helps!

Answer:

The inequality represents that height of Aisha is less than 48 inches.

Step-by-step explanation:

Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park.Let she is x inches tall at presentShe grows 5 inches during the next yearSo, Her height after 1 year = x+5 inchesSince we are given that  Aisha will still not be tall enough to ride.Thus the inequality represents that height of Aisha is less than 48 inches.

Answer:

its 17

Step-by-step explanation:

do 2 step Equation

Answer:

32°

Step-by-step explanation:

Complementary angles sum to 90°

the complement of 58° is

90° - 58° = 32°

Complementary angles add up to [tex]\sf{90^\circ}[/tex].

In order to find the complement of the given angle, we should set up the following equation:-

(let n be the unknown angle)

[tex]\sf{n+58=90}[/tex]

Subtract 58 from both sides:-

[tex]\bigstar{\boxed{\pmb{n=32}}[/tex]

Hence, the complement of the angle is 32 degrees.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

What circle?

Step-by-step explanation:

Please give more data

Answer:

I need a picture of the circle. you can't answer your question without an actual reference on what im solving

Step-by-step explanation:

Answer:

a = -2  

Step-by-step explanation:

Ok, so for parallel lines you need to make slopes for both the lines equal. So for line y = x + 4 the slope is 1. (slope is the coefficent infront of the x value while in y=mx+b form. To make the other line have a slope of 1 a needs to be a number as so that 2a+5 = 1

2a+5 = 1

2a = 1 - 5

a = -4/2

a = -2  

Step-by-step explanation:

12

(a)

(iii) Ans $468.75

(b) Ans $2345.75

You can find the completed solution In the given attachment

Feel free to contact me if u didn't understand anything

Answer:

an equilateral is a shape that has equal/even sides. All measurements that are made will be equal to each other whether it is the length of the side or the degree an angle has.

Hope this helps! :D

Answer:

Equilateral - All sides are equal. For example, in an equilateral triangle all of the sides are equal in length.

Answer:

As per Provided Information

We have to calculate the length of rectangle .

As we know the formula to find the Area of rectangle .

[tex] \boxed{\bf \: Area_{(Rectangle)} = length \: \times width}[/tex]

On substituting the value we obtain

[tex] \sf \qquad \: \longrightarrow 54 = length \times 9 \\ \\ \\ \sf \qquad \: \longrightarrow \cfrac{54}{9} = length \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cancel \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = 6 \: inches[/tex]

Therefore,

Answer:

Exact area = 272 - 28.125pi  square cm

Approximate area = 183.6875 square cm  (when using pi = 3.14)

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

Explanation:

The trapezium has the parallel sides of 12+13 = 25 cm and 15 cm. Those vertical sides average to (25+15)/2 = 40/2 = 20. Multiply this with the height of the trapezium to get 20*24 = 480 sq cm as the area.

You could also use this trapezium area formula

A = h*(b1+b2)/2

A = 24*(25+15)/2

A = 480

Whichever method you use, the trapezium has an area of exactly 480 square cm.

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

The paralellogram has base of 13 and height of 16, so its area is base*height = 13*16 = 208 sq cm

The semicircle has area of 0.5*pi*r^2 = 0.5*pi*7.5^2 = 28.125pi square cm. Notice that I used r = 7.5 which is half of the diameter 15 cm.

The parallelogram and semicircle areas add to 208+28.125pi

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

Subtract this from the area of the trapezium to wrap things up

480 - (208+28.125pi)

480 - 208 - 28.125pi

272 - 28.125pi

This is the exact area of the blue shaded region in terms of pi

To get the approximate area, replace pi with something like 3.14 and compute.

So 272 - 28.125pi = 272 - 28.125(3.14) =  183.6875 is the approximate area when pi = 3.14

Use more decimal digits of pi to get a more accurate value.

Answer:

well yeah no one likes math i mean unless you mark zuckerberg

Step-by-step explanation:

Answer:

One square inch is equal to . So, your box have  square inches and it costs  or $36 to manufacture it.

Step-by-step explanation:

Answer:

50% markup

Step-by-step explanation:

112.5-75=37.5

Since you know it is a $37.5 increase, you need to calculate how much of 75 is 37.5

37.5 is HALF of 75, so it was a 50% markup

Answer:

50% increase

Step-by-step explanation:

Firstly, I would do 112.50 - 75 = 37.5

This is an easy question, because we can quickly realise that half of 75 (75 divided by 2) is 37.5.

Because we know that 1/2 = 50% we can say that there was a 50% increase (or mark up) on the phone.

Hope this makes sense! If you have any further questions, let me know.

- profparis

Answer:

y=8.1

Step-by-step explanation:

23/60

hope it helps...!!!!

Answer:

See below ↓↓↓↓

Step-by-step explanation:

4.

5.

6.

7.

Answer:

Cost of Items ( x) $18 $35 $86 Total Cost (y) $26 $43 $94 - Х + = Complete the equation so that it models the relationship between the cost of the items on the website, I, and the total cost including shipping, y. Enter your answer in the box y = x + 76

Answer:

5.2z

Step-by-step explanation:

When you are adding any variables of the same power, like we have in this problem, you can just add any co-efficients.

3.1 + 2.1 = 5.2

So 3.1z + 2.1z = 5.2z