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erica [24]
2 years ago
12

The larger of two numbers is seven less than three times the smaller number. If the sum is 61, find the numbers.

Mathematics
1 answer:
swat322 years ago
6 0

Answer:

17 and 44

Step-by-step explanation:

Let S = smaller number, then L = the larger = 3S - 7

 

The sum = 3S - 7 + S = 4S - 7 = 61

4S = 68

S = 17 and L = 44

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Hint: To be collinear, show that : AB
Licemer1 [7]

Answer:

As the points are collinear, the slope of the line joining

any two points, should be same as the slope of the line joining two other

points.

Slope of the line passing through points (x

1

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2

,y

2

) =

x

2

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y

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−y

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So, slope of the line joining (p,0),(0,q)= Slope of the line joining

(0,q) and (1,1)

0−p

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1−0

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−

p

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Dividing both sides by q,

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5 0
3 years ago
Read 2 more answers
Martin bought a flower vase from a florist. The box in which the vase was packed was shaped like a rectangular prism.
34kurt

Answer:

the answer is C: 1932 sq. cm

Step-by-step explanation:

You want to break down the sections (which is double for each)

there are 6 rectangles but you will only need to calculate for 3

1st rectangle

a = (25) (12)

a = 300 sq. cm

**then multiply by 2 = 600 sq. cm**

2nd rectangle

a = (12) (18)

a = 216 sq. cm

then 216 * 2 = 432 sq. cm

3rd rectangle

a = (25) (18)

a = 450 sq. cm

then 450 * 2 = 900 sq. cm

Total Surface Area

SA = 600 sq. cm + 432 sq. cm + 900 sq. cm

SA = 1932 sq. cm

8 0
2 years ago
Please helpASAP! Approximately 30% of the land on
timurjin [86]

< 30% or <0.3

less than 30

5 0
3 years ago
If a rectangle has a base of 6 units, and a height of 8 units, what is its area?
Morgarella [4.7K]

Answer:

a=48 units^2

Step-by-step explanation:

The area of a rectangle can be found using:

a=bh

We know the base is 6, and the height is 8, so we can substitute them in

a=6*8

a=48

Area uses units squared, so,

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4 0
3 years ago
Read 2 more answers
Joe’s annual income has been increasing each year by the same dollar amount the first year his income was 19,500. 8 years later
Anna007 [38]

Answer:

The question is either poorly constructed or it is a trick question. We do not know "In what year was his income 30,300" because the years correlating to his income are not disclosed.  Even assuming the question was meant to be posed as "how many years later was his income 30,300" it is still flawed.

Step-by-step explanation:

To arrive at Joe's annual income increase, first subtract 19,500 from 27,900 to get 8400, which is his overall increase over the 8 years. Now divide 8400 by 8. You will get 1050.  Beginning with his income of 27,900, add 1,050 to each successive income amount and you will get the following progression:

27,900, 28,950, 30,000, 31,050, 32,100, 33,150, 34,200, 35,250, 36,300.

Therefore, two years after his income was 27,900 it would be 30,000 and 6 years after that it would be 36,300.  It would  never be 30,300.

6 0
3 years ago
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