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kolbaska11 [484]
4 years ago
11

Solve the system of equations using the linear combination method.

Mathematics
1 answer:
Anit [1.1K]4 years ago
7 0
       5p - 3q = -39
-     (-2p - 3q = 3)
==> 7p = -42 ==> p = -6

==> p = -6
      -2(-6) - 3q = 3 ==> 12 - 3q = 3 

==>p = -6
     -3q = 3 - 12 ==> -3q = -9

==> p = -6
       q = 3
      

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8 times the sum of a number and 26 is less than 304.
Jlenok [28]

Answer:

x < 12

Step-by-step explanation:

So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:

8(x+26) < 304

Lets start to solve for x by dividing by 8, giving us:

x+26 < 38

Now lets isolate x by subtracting 26 from both sides, which gives us our answer:

x < 12

So x is less than 12.

Hope this helps!

7 0
1 year ago
Use the net to find the lateral area of the cylinder.
ioda
The lateral area is the area around, the bases are the circles so the lateral area is the area of the rectangle

we just need the legnth of the rectangle which is the circumfernece of the circle

C=pid
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4 0
4 years ago
Read 2 more answers
Angle 1 is 135
Stels [109]

Answer:

80

Step-by-step explanation:

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8 0
3 years ago
3(0.5x-4)=3/2x-1.2 plz answerrr
natita [175]

Answer:

NO solution, this statement is not true.

Step-by-step explanation:

Distribute

1.5x-12=3/2x-1.2

Combine Like terms

1.5x=3/2x+10.8

Combine like terms

0=10.8

NO solution! 0 is NOT equal to 10.8!

6 0
3 years ago
A committee consisting of 2 faculty members and 3 students is to be formed. Every committee position has the same duties and vot
IgorLugansk [536]

Answer: 20,020 ways

Step-by-step explanation:

Given : The number of faculty members = 11

The number of students =14

Total number of people are eligible to serve on the committee = 11+14=25

Now, the number of ways to form a committee consisting of 2 faculty members and 3 students is to be formed will be :-

^{11}C_{2}\times^{14}C_{3}

=\dfrac{11!}{2!9!}\times\dfrac{14!}{3!11!}=20020

Hence, The committee can be formed in 20,020 ways .

5 0
4 years ago
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