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larisa [96]
3 years ago
14

Question of the day! Someone steals your N500. Same person owes you N100. So he uses the stolen N500 to pay you your N100, and y

ou give him N400 change... How much did you lose??
Mathematics
2 answers:
maxonik [38]3 years ago
7 0
Someone steals 500, your balance is -500
Same person gives you 100, your balance is -400
You give them the 400 change, your balance is -800

ANEK [815]3 years ago
5 0
N500 because in total you owe the person N600 (N500 stolen, N100 owe) and you give the person you stole money from N500 and the person gives you N400 change + the N100 you still have remainder giving you N500 in total
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Solve 3x+2y=4 4x+3y=7 algebraically
Leona [35]
Step 1. Multiply first equation with -3 and the second one with 2. You'll get:
\left \{ {{-9x-6y=-12} \atop {8x+6y=14}} \right.

Step 2. Add both equations together. You'll get:
-x=2, which gives x = -2

Step 3. Replace x = -2 in the first equation and calculate y.
3(-2)+2y=4\\
y=\frac{4+6}{2}=5

The solution is: x=-2, y=5
8 0
3 years ago
A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2. Which answer choice correctl
saveliy_v [14]

Answer:

All the coordinates are changed to

(x, y) ⇒ (2x, 2y)

Step-by-step explanation:

Given - A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2.

To find -  Which answer choice correctly maps this dilation algebraically?​

Proof -

Let ABC is a triangle where A, B, C are the vertices of the triangle respectively.

Now,

Let the coordinates be (x, y)

If a triangle is to be dilated with the origin as the center of dilation and with a scale factor of a , then the coordinated be changes as

(x, y) ⇒ (ax, ay)

Here given , a = 2

So, all the coordinates are changed to

(x, y) ⇒ (2x, 2y)

3 0
2 years ago
There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and
Rama09 [41]

Answer:

Step-by-step explanation:

4+3+5= 12 marbles

3/12 * 2/11 = 6/132 = 4.5%

5 0
3 years ago
Box of 15 gadgets is known to contain 5 defective gadgets if 4 gadgets are drawn at random what is the probability of finding no
baherus [9]

To solve this problem, we make use of the Binomial Probability equation which is mathematically expressed as:

P = [n! / r! (n – r)!] p^r * q^(n – r)

where,

n = the total number of gadgets = 4

r = number of samples = 1 and 2 (since not more than 2)

p = probability of success of getting a defective gadget

q = probability of failure = 1 – p

 

Calculating for p:

p = 5 / 15 = 0.33

So,

q = 1 – 0.33 = 0.67

 

Calculating for P when r = 1:

P (r = 1) = [4! / 1! 3!] 0.33^1 * 0.67^3

P (r = 1) = 0.3970

 

 

Calculating for P when r = 2:

P (r = 2) = [4! / 2! 2!] 0.33^2 * 0.67^2

P (r = 2) = 0.2933

 

Therefore the total probability of not getting more than 2 defective gadgets is:

P = 0.3970 + 0.2933

P = 0.6903

 

Hence there is a 0.6903 chance or 69.03% probability of not getting more than 2 defective gadgets.

5 0
3 years ago
A scuba diver dove from the surface of the ocean to an elevation of −49 9/10 feet at a rate of −9.5 feet per minute. After spend
laila [671]

Answer:

Rate of change  =  4,06 f/min

Step-by-step explanation:

The ascendent length  28 9/10   =  289/ 10

The time for that ascendent maneuver is total time 17 1/8 minutes  - spended time in the elevation 10 minutes, then

17 1/8  =  137/8

137/8  - 10   =  ( 137 - 80 ) /8   =  57/8 minutes

The rate of change in the diver´s elevation is

289 / 10 / 57/8

Rate of change  =  289*8/ 57*10

Rate of change  =  2312 / 570 ft/min

Rate of change  =  4,06 f/min

7 0
3 years ago
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