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LenKa [72]
3 years ago
13

There are two numbers which sum to 23. If one number is seven less than four times the other, find the numbers.

Mathematics
1 answer:
mart [117]3 years ago
8 0

Answer:

Numbers are 6 and 17.

Step-by-step explanation:

Let the two numbers are 'a' and 'b'.

"Sum of these numbers = 23"

a + b = 23 --------(1)

"One number is 7 less than 4 times the other"

a = 4b - 7 ---------(2)

Substitute the value of 'a' in equation (1) from equation (2)

(4b - 7) + b = 23

5b - 7 = 23

5b = 23 + 7

5b = 30

b = 6

From equation (2),

a = 4b - 7

a = 4×6 - 7

a = 24 - 7

a = 17

Therefore, the numbers are 6 and 17.

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A cylinder closed tin of radius r cm is made from 600cm2 tin sheet of metal.
Zarrin [17]

Answer:

Note:  The expression "h =300- pi r /pi r" would equate to 299, as written.  I find h = (300 - πr^{2} )/πr to be the equation for height.

Step-by-step explanation:

The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius.  That consists of top and bottom disks, each with an area of πr^{2}, for a total of 2πr^{2}.  The side is a  continous sheet that has an area of 2πrh, where h is the height.  2πr is the circumference of the can, so the surface area of the side is 2πrh.

The total surace area of a closed cylinder is therefore 2πr^{2} + 2πrh.

2πr^{2} + 2πrh = 600

πr^{2} + πrh = 300

πrh = 300 - πr^{2}

h = (300 - πr^{2} )/πr

7 0
3 years ago
1. The value of y varies directly with x. If y = 30 when x =1/5
algol [13]

Answer:

4. b) 30

5. c) y=2/3x+9

6. y=2x-5

Step-by-step explanation:

6 0
3 years ago
Pleaseeee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
ohaa [14]

Answer: 132 degree

Step-by-step explanation:

X + 48 = 180

X = 180 - 48

X = 132 degree

5 0
3 years ago
10
BartSMP [9]

Answer: W

Step-by-step explanation:

i took the test

5 0
3 years ago
Find the missing angle.
maw [93]

Answer:

45°

Step-by-step explanation:

All angles in a triangle add up to 180°

180 - (90 + 45)

= 180 - 135

= 45

Therefore the missing angle is 45°

4 0
3 years ago
Read 2 more answers
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