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Alona [7]
3 years ago
14

20 Points!!

Mathematics
2 answers:
shepuryov [24]3 years ago
7 0

Answer:

D) { x | x < 5}

Step-by-step explanation:

2(4 x + 3) < 5 x + 21

Distribute

8x +6 < 5x+21

Subtract 5x from each side

8x-5x+6 < 5x-5x+21

3x+6 < 21

Subtract 6 from each side

3x+6-6<21-6

3x <15

Divide each side by 3

3x/3 <15/3

x < 5

madam [21]3 years ago
4 0

Answer:

D

Step-by-step explanation:

8x-5x<21-6

x<15÷3

x<5

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A rectangular prism. The rectangular base has a length of 5 centimeters and width of 4 centimeters. What are the dimensions of t
AVprozaik [17]

Answer:

dimension is 5cm * 4 cm

Step-by-step explanation:

As the plane is parallel to the base, the ratio between plane's length and width is equal to the ratio of that of the base. -> similar shape.

Moreover, it also divided the rectangular prism into 2 smaller rectangular prism. hence the plane is identical to the base. Hence, same dimension.

see photo

3 0
3 years ago
OperumONS UNTUI a) Find the greatest number that divides 36, 45 and 63 without leaving a remainder. b) c) Find the greatest numb
larisa86 [58]

Answer:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder is 9

b) The greatest number which exactly divides 90, 120, and 150 is 30

c) The greatest capacity of the bucket is 10 liters

d) The greatest number of people to whom the items can be distributed equally is 40 people

ii) 2 kg of wheat flour, 3 kg of corn and 4 kg of rice

e) The greatest number of children to whom the 48 orange, 80 bananas, and 144 apples can be distributed equally is 16

ii) 3 oranges, 5 bananas and 9 apples each

f) 5 mangoes at a time from the basket containing 120 mangoes

7 mangoes at a time from the basket containing 168 mangoes

g) The greatest length of each squared marble is 2 m

Step-by-step explanation:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63, which is given as follows;

36 = 9 × 4

45 = 9 × 5

63 = 9 × 7

Therefore, The greatest number that divides 36, 45, and 63 without leaving a remainder  = The highest common factor of 36, 45, and 63 = 9

b) 90 = 30 × 3

120 = 30 × 4

150 = 30 × 5

The greatest number which exactly divides 90, 120, and 150 is 30

c) The factors of the volumes are;

50 l = 10 × 5 l

60 l = 10 × 6 l

70 l = 10 × 7 l

Therefore, the greatest capacity of the bucket = 10 liters

d) The masses of the items are

The factors of 80 = 40 × 2

120 = 40 × 3

160 = 40 × 4

Therefore the items can be distributed equally to 40 people

ii) Each person gets 2 kg of wheat flour, 3 kg of corn and 4 kg of rice

e) 48 = 16 × 3

80 = 16 × 5

144 = 16 × 9

Therefore, the greatest number of children = 16

ii) Each child gets 3 oranges, 5 bananas and 9 apples

f) The factors of 120 = 24 × 5

168 = 24 × 7

Therefore;

The greatest number of mangoes which is to be taken out of the basket with 120 mangoes = 5 mangoes each (24 times)

The greatest number of mangoes which is to be taken out of the basket with 168 mangoes = 7 mangoes each (24 times)

g) The area of the floor = 12 m × 10 m = 120 m²

The factor of 120 m² which is a perfect square is 4 therefore, we have;

The side length of each squared marble, s = √4 = 2

The side length of each squared marble, s = 2 m

7 0
3 years ago
PLEASE HELP!! WILL GIVE BRAINLIEST FOR BEST ANSWER!! Please solve #17 and #18. If you can only answer one it's ok.
Paha777 [63]
Well for number 17 you have to multiply by two which 4 * 2 is 8 and 12 * 2= 24. for number 18 your answer would be isometry. hope that helped
5 0
3 years ago
Convert this following fraction to a decimal.<br><br> 21/40
bezimeni [28]

Answer:

0.525

....................

4 0
2 years ago
Read 2 more answers
6^3+5(8+0.2)= can someone tell me the steps i know its 257 i need the steps
Sav [38]

Step 1 distribute the 5 across (8+0.2)

6^3+5(8+0.2)

6^3+40+1

6^3+41 (<em>I simplified the +40 and the +1</em>)

Step 2 take 6 to the power of 3

6^3+41

6x6x6     6x6=36     36x6=216

216+41 (<em>Simplify!</em>)

257


I hope this helped!

3 0
3 years ago
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