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Rus_ich [418]
3 years ago
7

Martin had 24

Mathematics
2 answers:
dolphi86 [110]3 years ago
4 0

Answer:

16/3 pounds

Step-by-step explanation:

We are give that each friend took 2/3 pound of grapes from the bowl. Therefore, to know the total amount taken by the four friends, we will simply do cross multiplication as follows:

1 friend .................> 2/3 pounds

4 friends ...............> ?? pounds

Amount taken by the 4 friends = [4*(2/3)] / 1 = 8/3 pounds

The bowl originally had 8 pounds and 8/3 pounds were taken, therefore:

remaining amount = 8 - 8/3 = 16/3 pounds                                                                           hope this helps!

inna [77]3 years ago
3 0

Answer:

its C

Step-by-step explanation:

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The consecutive angles of a parallelogram measure (x+30) and 4x°. What is the measure of the smallest
Sophie [7]

Answer:

60

Step-by-step explanation:

180=(x+30)+(4x)

Ok, combine like terms. That'll give you

180=5x+30.

Now solve for x. X is going to equal 30.

Then substitute 30 for x in the angles. One angle will be 60 and the other will be 120.

60 is smaller than 120 so that's your answer.

6 0
3 years ago
300% of what number 90?
GenaCL600 [577]

The answer is 90 is 300% of 30



6 0
3 years ago
I’d appreciate any help please!!! 30 points
Aliun [14]
7. 3c+3=84
3c=81
c=27
So either 81/3 but if simplified its 27/1

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8 0
3 years ago
Quadrilateral PEST has vertices (-1, -5), (8, 2), (11, 13), and (2, 6), respectively. Classify the quadrilateral as a square, rh
Alchen [17]

Answer:

The figure PEST is a rhombus

Step-by-step explanation:

* Lets talk about the difference between all these shapes

- At first to prove the shape is a parallelogram you must have one

 of these conditions

# Each two opposite sides are parallel OR

# Each two opposite sides are equal in length OR

# Its two diagonals bisect each other

- After that to prove the parallelogram is:

* A rectangle you must have one of these conditions

# Two adjacent sides are perpendicular to each other OR

# Its two diagonals are equal in length

* A rhombus you must have one of these conditions

# Two adjacent sides are equal in length OR

# Its two diagonals perpendicular to each other OR

# Its diagonals bisect its vertices angles

* A square you must have two of these conditions

# Its diagonals are equal and perpendicular OR

# Two adjacent sides are equal and perpendicular

* Now lets solve the problem

∵ The vertices of the quadrilateral PEST are

   P (-1 , -5) , E (8 , 2) , S (11 , 13) , T (2 , 6)

- Lets find the slope from each two points using this rule :

 m = (y2 - y1)/(x2 - x1), where m is the slope and (x1 , y1) , (x2 , y2)

 are two points on the line

- Let (x1 , y1) is (-1 , -5) and (x2 , y2) is (8 , 2)

∴ m of PE = (2 - -5)/(8 - -1) = 7/9

- Let (x1 , y1) is (8 , 2) and (x2 , y2) is (11 , 13)

∴ m of ES = (13 - 2)/(11 - 8) = 11/3  

- Let (x1 , y1) is (11 , 13) and (x2 , y2) is (2 , 6)

∴ m of ST = (6 - 13)/(2 - 11) = -7/-9 = 7/9

- Let (x1 , y1) is (2 , 6) and (x2 , y2) is (-1 , -5)

∴ m of TP = (-5 - 6)/(-1 - 2) = -11/-3 = 11/3

∵ m PE = m ST = 7/9

∴ PE // ST ⇒ opposite sides

∵ m ES = m TP = 11/3

∴ ES // TP ⇒ opposite sides

- Each two opposite sides are parallel

∴ PEST is a parallelogram

- Lets check if the parallelogram can be rectangle or rhombus or

 square by one of the condition above

∵ If two line perpendicular , then the product of their slops = -1

- Lets check the slopes of two adjacent sides (PE an ES)

∵ m PE = 7/9

∵ m ES = 11/3

∵ m PE × m ES = 7/9 × 11/3 = 77/27 ≠ -1

∴ PE and ES are not perpendicular

∴ PEST not a rectangle or a square (the sides of the rectangle and

  the square are perpendicular to each other)

- Now lets check the length of two adjacent side by using the rule

 of distance between two points (x1 , y1) and (x2 , y2)

 d = √[(x2 - x1)² + (y2 - y1)²]

- Let (x1 , y1) is (-1 , -5) and (x2 , y2) is (8 , 2)

∴ PE = √[(8 - -1)² + (2 - -5)²] = √[9² + 7²] = √[81 + 49] = √130 units

- Let (x1 , y1) is (8 , 2) and (x2 , y2) is (11 , 13)

∴ ES = √[(11 - 8)² + (13 - 2)²] = √[3² + 11²] = √[9 + 121] = √130 units

∴ PE = ES ⇒ two adjacent sides in parallelogram

∴ The four sides are equal

* The figure PEST is a rhombus

4 0
2 years ago
|a−b|−|c+d| , if a=5; b=−5; c=−4; d=−3 yet another bad day
blagie [28]

Answer:

3

Step-by-step explanation:

|a−b|−|c+d|

Let  a=5; b=−5; c=−4; d=−3

substitute the values in

|5− -5|−|-4+-3|

|5+5|−|-4+-3|

|10|−| -7|

Taking the absolute values

10 - 7

3

7 0
3 years ago
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