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oksano4ka [1.4K]
3 years ago
13

There are two mystery numbers. The sum of 2 times the first number and 5 times the second number is -5. The sum of 3 times the f

irst number and 10 times the second number is -5. What are the two numbers?
Mathematics
2 answers:
poizon [28]3 years ago
8 0

Answer:

X=-5,Y=1

Step-by-step explanation:

First equation: 2X+5Y=-5

Second equation:3X+10Y=-5

If we subtract the first from the second equation

(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0

So X= -5Y .then substitute in the second equation

So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1

Then substitute with that in the first equation so 2X+5= -5

2X= -10 therefore X=-5

Leokris [45]3 years ago
5 0

Answer:

the two numbers are -5 and 1

Step-by-step explanation:

Let x and y be the first number and second number respectively.

According to the question, we can find 2 equations:

2x + 5y = -5

3x + 10y = -5

On solving,

x = -5

y = 1

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Answer:

B. The typical value is greater in set A. The spread is greater in set B.

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2 years ago
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The age of some lecturers are 42,54,50,54,50,42,46,46,48 and 48 calculate the mean age and standard deviation
rjkz [21]

Answer:

Mean age: 48

Standard deviation: 4

Step-by-step explanation:

a) Mean

The formula for Mean = Sum of terms/ Number of terms

Number of terms

= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10

= 480/10

= 48

The mean age is 48

b) Standard deviation

The formula for Standard deviation =

√(x - Mean)²/n

Where n = number of terms

Standard deviation =

√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]

= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10

=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10

=√160/10

= √16

= 4

The standard deviation of the ages is 4

3 0
3 years ago
What scale factor is shown by this graph?
notsponge [240]

the scale factor is 2.

because

if you look at the length <em>AL</em><em> </em>in the smaller shape, it is 2 squares.

now if you look at the length <em>AL</em><em> </em>in the enlarged shape, it is 4 squares.

to find the scale factor, do 4 ÷ 2 which is 2.

therefore the scale factor is 2

6 0
3 years ago
Read 2 more answers
Which table shows the function y = -2x + 4? A) x y 0 4 1 2 2 0 B) x y 1 25 2 26 3 27 C) x y 0 -4 1 -2 2 0 D) x y -1 6 -2 8 -3 12
Svet_ta [14]
The answer is A.

From looking at the A graph, you must plug in the x variable into<span> y = -2x + 4.

y = -2(0) + 4 = 4
y = -2(1) + 4 = 2
y = -2(2) + 4 = 0</span>
4 0
2 years ago
All of them pls I am just helping my litte some think
IceJOKER [234]
Try to refrain from asking more than three questions per question for future reference. 

11+4=15
6+4=10
4+7=11
12+4=16
0+4=4
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10+4=14
4+5=9
9+4=13
4+2=6
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4+3=7
7+4=11
4+4=8
4+1=5
8+4=12

Hope this helps.
-Benjamin
5 0
3 years ago
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