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3241004551 [841]
3 years ago
8

Solve each problem by forming a pair of simultaneous equations:

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
7 0

Answer:

5.5, 9.5

Step-by-step explanation:

Let x and y be the numbers

x+y = 15

x-y = 4

Add the two equations together to eliminate y

x+y = 15

x-y = 4

------------------

2x = 19

Divide by 2

2x/2 =19/2

x = 9.5

Now find y

x+y = 15

9.5+y = 15

Subtract 9.5

x = 15-9.5

x =5.5

Komok [63]3 years ago
4 0

Answer:

11/2 and 19/2

Step-by-step explanation:

We have to make a system of equations:

1) X + Y = 15

2) X - Y = 4

Working on the first one:

X = 15 - Y

And now let's plug it in the second one:

(15 - Y) - Y = 4

15 - 2Y = 4

2Y = 11

Y = 11/2

Let's substitute this in one of the two equations:

X + 11/2 = 15

X = 19/2

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Which of the following is the correct classification of ∆mnp if m<m=35° and m<p=47°?​
AnnZ [28]

Answer:

D. Obtuse.

Step-by-step explanation:

We are told that in \Delta MNP m\angle M=35^o and m\angle P=47^o. We are asked to classify our given \Delta MNP.

We can see that angle M and angle P are acute angles as their measure is less than 90 degrees.

Let us find the measure of angle P using angle sum property of triangles, which states that sum of interior angles of a triangle is 180 degrees.

So we can set an equation as:

m\angle M+m\angle P+m\angle N=180^o

Upon substituting our given values we will get,

35^o+47^o+m\angle N=180^o

82^o+m\angle N=180^o

82^o-82^o+m\angle N=180^o-82^o

m\angle N=98^o

As measure of angle N is 98 degrees, so angle N is an obtuse angle.

Since a triangle having an angle that measures more than 90 degrees is called an obtuse triangle, therefore, \Delta MNP is an obtuse triangle and option D is the correct choice.

4 0
3 years ago
Read 2 more answers
A number cube with the numbers 1 through 6 is rolled. What is the probability of the number cube showing a 4 or a number less th
Sonja [21]

Answer:

Step-by-step explanation:

The probability is

P

(

A

)

=

1

3

Explanation:

To calculate the probability you have to count the number of all possible results

|

Ω

|

and the number of results that fulfill the given condition

|

A

|

.

In this case

Ω

=

{

1

,

2

,

3

,

4

,

5

,

6

}

Thereare 6 possible result of a dice toss. So

|

Ω

|

=

6

The given condition is "the result is divisible by

3

", so

A

=

{

3

,

6

}

- those are the only numbers divisible by

3

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|

A

|

=

2

.

Finally to calculate the probability we have to divide

|

A

|

by

|

Ω

|

.

P

(

A

)

=

|

A

|

|

Ω

|

=

2

6

=

1

3

Note The probability is never larger than

1

, so if you get such result then there must be a mistake in calculations.

4 0
3 years ago
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The volume of a cuboid is 32cm^2 Two of the lengths are 4cm and 2cm, what is the missing length?
andrew-mc [135]

Answer:

4 cm

Step-by-step explanation:

to find the volume you multiply the lengths of all three sides together:

let 'm' = missing side

32 = 4·2·m

32 = 8m

m = 4

5 0
3 years ago
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Plz help with this question
likoan [24]

Answer:i dont know to do this stuff but i think you have to divide i think ???

Step-by-step explanation:

6 0
3 years ago
Question 7 of 10
Nat2105 [25]

Answer:

D. Balloon Mortgage does not adjust each period

Step-by-step explanation:

A-P-E-X

5 0
3 years ago
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