which number line shows the solution to the inequality?

1. 4/1

2. 1/2

3. 2/5

4. 1/1

The solution is, the equations representative of the situation are

2.75x + 3.25y = 172.50 ... Equation 1

x + y = 60 ... Equation 2

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

Explanation:

Where x = number of pineapple smoothies and

           y = number of mango smoothies

Also given that, cost of pineapple smoothies = $ 2.75

and cost of mango smoothies = $ 3.25

The total sales made by the company is the addition of the sum made from mango smoothies and pineapple smoothies.

Total amount made from pineapple smoothies = cost of pineapple smoothies × number of pineapple smoothies sold

= 2.75 × x

= 2.75x

Total amount made from mango smoothies = cost of mango smoothies × number of mango smoothies sold

= 3.25 × y

= 3.25y

Therefore where total sales = $172.50

2.75x + 3.25y = 172.50

Also, since there were 60 cups used in all. Where a cup is used for a smoothie,

x + y = 60

Therefore the equations representative of the situation are

2.75x + 3.25y = 172.50

and

x + y = 60

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Complete question:

A shop sells pineapple smoothies for $ 2.75 and mango smoothies $ 3.25 . On Saturday, a total of 60 cups were used to serve smoothies, and the register showed that a total of $ 172.50 was collected from smoothie sales. Let x represent the number of pineapple smoothies and y represent the number of mango smoothies. Which system of equations represents the situation?

Answer:

least value=-8, Q1=-0.5, median=3, Q3=5, greatest value=10

Step-by-step explanation:

To find the least and greatest values, we simply look at the numbers in the data set and see that the least is -8 and the greatest is 10.

To find the first quartile, median, and third quartile, we need to put the data in order from least to greatest:

-8, -5, -1, 0, 0, 1, 2, 4, 4, 5, 5, 7, 9, 10

There are 14 numbers in the data set, so the median is the average of the 7th and 8th numbers, which is:

(median) = (2+4)/2 = 3

To find the first quartile, we need to find the median of the lower half of the data set. The lower half includes the first 7 numbers:

-8, -5, -1, 0, 0, 1, 2

The median of this lower half is the average of the 3rd and 4th numbers:

(first quartile) = (-1+0)/2 = -0.5

To find the third quartile, we need to find the median of the upper half of the data set. The upper half includes the last 7 numbers:

2, 4, 4, 5, 5, 7, 9, 10

The median of this upper half is the average of the 4th and 5th numbers:

(third quartile) = (5+5)/2 = 5

So the least value is -8, the first quartile is -0.5, the median is 3, the third quartile is 5, and the greatest value is 10.

Answer: 264 inches squared

Step-by-step explanation: 48 + 48 + 48 + 48 + 36 +36

Answer:

90%

Step-by-step explanation:

Answer: (9, -7), (9, -17), (14, -12), (4, -12)

Step-by-step explanation:

If the student went north - add 5 to y value: (9, -7)

If the student went south - subtract 5 from the y value: (9, -17)

If the student went east - add 5 to the x value: (14, -12)

If the student went west - subtract 5 from the x value: (4, -12)

Answer:

(9,-7) North, (14,-12) East, (9,-17) South, (4,-12) West

hope this helps!!

BRAINLIST PLEASE

Answer:

i think the answer is....

Step-by-step explanation:

The answer is cm=240. I used Chegg

We have divided the figure into 3 parts i.e. ; 2 rectangles and 1 triangle...

[tex] \boxed{ \red { \mathfrak{Area\: of\: figure =l \times b + l \times b + \frac{1}{2} \times b \times h}}}[/tex]

We have the dimensions:

[tex] \blue{ \sf{Area\: of\: figure = 8 \times 7 + 6 \times 2 + \frac{1}{2} \times 2 \times 1 }}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =56 + 12 + \frac{1}{ \cancel2} \times \cancel 2 }}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =56 + 12 + 1}}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =69 \: {ft}^{2} }}[/tex]

Hence, Option B is correct!!

Answer:

the answer is 100000000

Answer:

100000000

Step-by-step explanation:

correct?

Answer:

You can do:

-two trapezoids

-six triangles

-two parallelograms

hope this helps!

start by adding the all the similar number with teh exponents but do the negatives last then you need to combine like terms and yu should get 56 as your asnwer

C is the answer to this mcq

Answer:

Step-by-step explanation

As you know, the angles of a triangle must have a sum of 180 degrees.

Here you got the first part correct and for the second part all you need to do is write 76.2 as the angles they gave you equal 180 degrees.

76.2 + 81.7 + 22.1 = 180

Answer:

Quick not so accurate answer: ((15•13:)2)•50=4875m

More accurate answer: area of 1 triangle is ((15cm*15cm)*√3)/4 = (225*√3)/4 = 389.711432/4 = 97.427858cm2

to get the full hexagon multiply I by six, that is 584.567148cm2.

Then multiply that by its height that is 50cm to get the volume, that is 29228.3574cm3.

Answer: a=1/2bh+lw

Step-by-step explanation:

the 1/2bh works for a right-angled triangle but we have that and also part of a square or rectangle, so we added a little onto that area and boom a=1/2bh+lw is the answer.

Answer: incorrect i cannot read.

anyways, the answer is c, the third bubble.

and 20 minutes

you get this from needing to find the total minutes spent, in order to do so, you need to add 25, to whatever number (or t) to equal 45

as for the minutes, you do the exact opposite, and subtract 25 from 45, to get 20

Answer:

SEE BELOW.

Step-by-step explanation:

1) 5/40

gcf = 5

5 ÷ 5 /    40  ÷ 5

= 1/8

2) 2/12

1/6

3) 3/9

= 1/3

4) 4/36

1/9

5) 6/40

3/20

6) 7/49

1/7

7) 6/50

3/25

8) 8/12

4/6

2/3

9) 9/90

1/10

10) 14/32

7/16

11) 25/65

5/13

12) 18/64

9/32

13) 24/54

4/9

14) 8/60

4/30

2/15

15) 22/34

11/17

16) 35/84

5/12

17) 48/104

6/13

18) 16/128

1/8

19)36/108

= 1/3

20) 38/152

1/4

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

Explanation:

Each face is a polygon representing a wall, ceiling or floor of the 3D structure. If we rotated the figure so that one triangle is flat on the ground we would have...

That's 2+3 = 5 faces total.

-----------

The edges connect adjacent faces. For instance, two neighboring walls are connected with an edge. There are 3 edges that connect adjacent walls. There are 3+3 = 6 more edges that connect a wall to either the ceiling or the floor.

That's 3+6 = 9 edges total.

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

Vertices are corner points. They are endpoints of segment edges.

The triangular floor provides 3 vertices. The triangular ceiling provides the other 3.

That's 3+3 = 6 vertices total

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

Extra info:

Euler's polyhedron formula is

F+V-E = 2

where

Let's use that formula for

So,

F+V-E = 2

5+6-9 = 2

11-9 = 2

2 = 2

The formula works for this polyhedron and any other polyhedron. So if you know two of the three items (say the value of F and V), you can use the formula to determine the missing third piece.

Answer:

Converting customary units of weight can be helpful in everyday life when you need to measure ingredients for cooking or baking. For example, if a recipe calls for 2 pounds of ground beef, but you only have a scale that measures in ounces, you will need to convert the measurement to ounces to make sure you use the correct amount of beef.

To convert pounds to ounces, you can use the conversion factor of 16 ounces per pound. So, to convert 2 pounds to ounces, you would multiply 2 by 16, which equals 32 ounces.

Another example is when you need to weigh yourself in kilograms, but your scale measures in pounds. To convert pounds to kilograms, you can use the conversion factor of 0.453592 kilograms per pound. So, if you weigh 150 pounds, you can convert that to kilograms by multiplying 150 by 0.453592, which equals 68.04 kilograms.

In general, knowing how to convert between customary units of weight can help you to make accurate measurements and better understand how much of a substance you are using or consuming.

Step-by-step explanation:

An equation that could be used to determine the number of books that Keiko bought include the following: B. 4b - 5 = 71.

The number of books is equal to 19 books.

In order to write a linear equation to describe this situation, we would assign a variable to the number of books, and then translate the word problem into a linear equation as follows:

Let the variable b represent the number of books.

Since Keiko bought some books for $4 and received a discount of $5 off of her total purchase, a linear equation that models the situation is given by this mathematical expression:

4b - 5 = 71

Next, we would calculate the number of books (b) as follows;

4b - 5 = 71

4b = 71 + 5

4b = 76

b = 76/4

b = 19 books.

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Answer:[tex]X < \frac{7}{12}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} +x < \frac{5}{6}[/tex]

[tex]X < \frac{7}{12}[/tex]

B is correct. B is rights because at the end of the equation you need to divide by 1 so it all equals out.

Answer:

Choose Choice B

Step-by-step explanation:

45-19 is 26.

All of the other equations don't make sense except B