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Darina [25.2K]
3 years ago
14

The sum of two numbers is 12 and their difference is 20. What is the smaller number?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

Answer:

16 and -4

Step-by-step explanation:

Let the 2 numbers be x and y with x > y

x+y=12

x-y=20

Adding the 2 equations, term by term on both sides, will eliminate y leaving an equation in x that we can solve

(x+x)+(-y+y)=(12+20)

2x=32

x=16

16+y=12

y=-4

16+-4=12

12=12

16--4=20

20=20

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Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 3 1/2 years, she had earned $36.40
N76 [4]

Answer:

$1,792

Step-by-step explanation:

3 1/2×36.40=116.48

116.48÷6.5%=1,792

$1,792

5 0
3 years ago
A lawyer charges a $75 consultation fee and then $120 per hour thereafter.
Ainat [17]

Answer:

(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this,
\frac{C}{T} \frac{75}{0} \frac{195}{1} \frac{315}{2} \frac{435}{3} \frac{555}{4}, where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.

(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.

3 0
2 years ago
Find tan theta if theta is an angle in standard position and the point with coordinates (4,3) lies on the terminal side of the a
Karolina [17]

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

x = 4

y =3

h^2= 4^2 + 3^2

h^2 = 16 + 9

h^2 = 25

h = 5

h = 5

Tangent = opposite/adjacent

= y/x

= 3/4

= 0.75

8 0
3 years ago
The decimal .67 can be written as which fraction? A) 67 10,000 B) 67 1,000 C) 67 100 D) 67 10
ss7ja [257]
That would be C because there are two zeros right?
So you move two decimal places from 67.
And you get 0.67
5 0
3 years ago
Read 2 more answers
Which expression is equivalent to 6x^2 + 13x + 5?
hodyreva [135]

The signs of the x-term and the constant term are both positive, so the signs of the constants in the binomial factors must be the same and must both be positive. The only offering that meets that requirement is

... C (2x+1)(3x+5)

_____

If you multiply that out, you get 6x² + 10x + 3x + 5 = 6x² +13x +5, as required.

The sign of the constant term is the product of the signs of the constants in the binomial factors: (+1)·(+5). We want a positive sign for the constant, so both binomial factor constants must have the same sign.

When the signs of the binomial factor constants are the same, the x-term constant will match them. Thus, for a positive x-term constant, both binomial factor constants must be positive.

3 0
3 years ago
Read 2 more answers
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