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Zina [86]
2 years ago
5

Decide if the expression is positive or negative. Explain in words how you know, please.

Mathematics
1 answer:
Dafna11 [192]2 years ago
6 0

Answer:

The expression is negative

Step-by-step explanation:

11/-3 is negative

-11/-3 is positive

negative + positive or positive + negative =  negative

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Quadrilateral ABCD ​ is inscribed in a circle.
3241004551 [841]
The meaning of a quadrilateral inscribed in a circle is that the angles on the opposite vertices are supplementary or in other words equals to 180 degrees.

In this exercise it is asked you to find the measure in degrees of angle A. First of all, you have to find the value of x. To do this you have to select two angles on this case angles A and C.

m<A+m<C=180          Substitute the values of angles A and C
2x+9+3x+1=180          Combine like terms       
        5x+10=180          Subtract in both sides by 10                           
              5x=170          Divide in both sides by 5 to isolate x               
                x= 34

Now that the value of x is known, you can substitute it into the expression representing angle A.

m<A=2x+9
m<A=2(34)+9
m<A=77

The measure of angle A is 77 degrees.
 



3 0
3 years ago
He Brought 10 packages of AA and AAA batteries for a total of 72 batteries.
Studentka2010 [4]

Answer:

4 packages of AA batteries

6 packages of AAA batteries.

Step-by-step explanation:

Let the number of packages of AA batteries bought be x

Let

the number of packages of AAA batteries bought be Y

He Brought 10 packages of AA and AAA

thus,

x+y = 10   equation 1

Given

The AA batteries are sold in packages of 6, it means one packet contains 6 batteries

Thus,

Total number of AA  batteries in x packages = 6x

The AAA batteries are sold in packages of 8, it means one packet contains 8 batteries

Thus,

Total number of AAA  batteries in y packages = 8y

Given total no. of batteries is 72

thus    

6x + 8y = 72   equation 2

x+y = 10

y = 10-x ---using this in equation 2

6x + 8(10 - x)  = 72  

=> 6x + 80 - 8x = 72

=> -2x = 72-80 = -8

=> x = -8/-2 = 4

y = 10 -x = 10 -4 = 6

y = 6

Thus,

he bought 4 packages of AA batteries

6 packages of AAA batteries.

3 0
3 years ago
Investment of $2000 at 10% simple interest for 9 years
Oliga [24]

Answer:

The last investment (C) has the least interest of $600

The other two investments (A and B) have the <u>same</u> amount of interest of $1800.

Step-by-step explanation:

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned
  • P = principal
  • r = interest rate (in decimal form)
  • t = time (in years)

<u>Investment A</u>

  • P = $2000
  • r = 10% = 0.1
  • t = 9 years

Substitute the given values into the formula and solve for I:

⇒ I = 2000(0.1)(9)

⇒ I = $1800

<u>Investment B</u>

  • P = $3000
  • r = 3% = 0.03
  • t = 20 years

Substitute the given values into the formula and solve for I:

⇒ I = 3000(0.03)(20)

⇒ I = $1800

<u>Investment C</u>

  • P = $2000
  • r = 10% = 0.1
  • t = 3 years

Substitute the given values into the formula and solve for I:

⇒ I = 2000(0.1)(3)

⇒ I = $600

The last investment (C) has the least interest of $600.

The other two investments (A and B) have the <u>same</u> amount of interest of $1800.

8 0
1 year ago
List all info given by the marks on the diagram.
Ne4ueva [31]
Honestly I tried looking it up to get atleast something, but my best answer would have to be B.

Take this answer with a grain of salt, a lot of it
5 0
3 years ago
If two lines have the same slope, they are _______.
Sever21 [200]

Answer:

same slope is parallel lines

Step-by-step explanation:

4 0
3 years ago
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