Solve 2x+3y-z=-4
3x+2y+2z=14
x -3z=-13

$200/5 lamps= $40 per lamp

Final answer: $40

Using the elimination principle, the cost of one lamp is $16

Let :

3a + 5b = 176 - - - - (1)

5a + 3b = 208 - - - (2)

Multiply (1) by 5 and (2) by 3

15a + 25b = 880 - - - - (3)

15a + 9b = 624 - - - - - (4)

Subtract (3) and (4)

16b = 256

b = (256 ÷ 16)

b = $16

Therefore, the cost of one lamp is $16

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Answer:

4.75 will be how much is in each bottle.

Answer:she has 4 weeks worth of lunch money

Step-by-step explanation:first 5×2=10

Then 10×4=40

Answer:

1.7n +28.5

Step-by-step explanation:

you compare like terms first

1.5n add it to 2n

it will equal to 1.7

then add 16.5 to 12

it will equal to 28.5

Your new equation will be

1.7n+ 28.5 if it was equal to something let's say it was equal to 180 as an example:

your equation will be

1.7n + 28.5= 180

-28.5= -28.5

1.7n= 151.5 you would divide it

it would equal 89.1 and change.

Answer:

225

Step-by-step explanation:

Answer:

The answer is 225

Awser=88

The number of candies in the box is between 80 and 100. It is possible to divide all the candies among 2, 3 or 5 children. How many candies are in the box?

Answer:

-6 = b/18

-6×18=b

-108 = b ans.

and

v-15- = -27

v = -27 +15

v = -12 ans.

Answer:

7 bottles

$10

Step-by-step explanation:

multiply

1/6×42= 7 bottles

5/9×18= $10

Screenshot of answers.

Answer:

Look at screenshot

Step-by-step explanation:

The graph has 2 intercepts, as it is a parabola with a degree of 2.

Answer:

4x+7y = 6

Step-by-step explanation:

-8x + 7y = 6 - 12x

add 12x in both sides

4x+7y = 6

Answer:

1/4 chance

Step-by-step explanation:

Total marbles: 20

Total Blue marbles: 5

Ratio is 5:20

Simplified ratio is 1/4

Answer:

m = -2

Step-by-step explanation:

To find the slope of a line, use the equation:

m = y2 - y1 / x2 - x1

Then, substitute in values:

m = 54 - 58 / 2 - 0

m = -4 / 2

m = -2

Answer:

c

Step-by-step explanation:

you need to count step by step

Answer:

7.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number TJ thinks of be n.

If he finds 1/3 of the number, the expression that models this situation is expressed as:

1/3 of n

= 1/3 * n

= n/3

hence the expression that models the scenario is n/3

Answer:

1/3n-5

Step-by-step explanation:

Answer:

7.) r = 6. 8.) v = 3.3

Step-by-step explanation:

........

cube root both sides

Answer:

68mph

Step-by-step explanation:

divide 187 by the time

187/2.75=68

Answer:

m= -6

Step-by-step explanation:

Answer:

-16=m

Step-by-step explanation:

-3=-2+m/6

6*-3=-2+m*6

-18=-2+m

2+-18=m

-16=m

Answer:

1.485

Step-by-step explanation:

just put it in a calculator if you dont have one google does.

Answer:

-5/12

Step-by-step explanation:

Convert to twelfths.  Then subtract.

Change 3/4 to 9/12 and 1/3 to 4/12.

4/12 - 9/12 = -5/12

Answer:

A. Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive

Answer:

this is a Sin(), Cos() and Tan()  function  problem.   use the Mnemonic  (new-monic)  SOH CAH TOA  (soo caw tow ah ) to remember which function  sin() cos()  or tan() to use.. :) these types of problems are pretty confusing, Use that Mnemonic to keep the functions in order

Step-by-step explanation:

since we know the distance to the tree.. and we know the angle and we have a formula  TOA to figure out the one pieces of info we don't know ...  use TOA  that tells us our formula..  TOA(Ф)=Opp /  Adj     where  Tan(Ф) is using Ф= to our angle of 32 degrees ( remember Ф can be in degrees or radians, its in degrees for this problem) Adj = the Adjacent side of the triangle from the known angle.. the 32 degree angle ,  Opp = the Opposite side of the triangle formed by the imaginary lines from Kari to the base of the tree and from Kari to the top of the tree..   and then the tree , from it's base to it's top... we know the angle and the Adj side of that triangle so we can figure out that last part of TOA  by saying  Tan(Ф)=Opp/ Adj .... or say  Tan(32)= Opp / Adj    ⇒ Tan(32)=Opp / 90 ⇒ Tan(32) *90 = Opp   this will be the height from the ground to the top of the tree..  but.. the tree is at an angle , keep in mind... sooo  Tan(32)*90=56.238 feet  now take the new triangle that we know one side to... from the ground to the height of the tree..  in a vertical line from the ground to a point at 56.238 feet .. that is the Adj side of this new triangle.. the tree is on the Hypotenuse of this new trialge,  which we want to find. we know the Adj side we know the angle to find the Hypotenuse use CAH , from our Mnemonic at the top,  the Mnemonic is really important b/c keeping track of which part goes where in the triangles is pretty confusing.  Cos(5)=Adj / Hyp  ⇒ Cos(5)=56.238 / Hyp ⇒56.238 / Cos(5)= Hyp   = 56.453 feet  :)  that's how tall that tree is , lets chop it down :P and blame it on George Washington  :P  The tree, to the nearest 10th of a foot, is 56.5 feet

Answer:

Step-by-step explanation:

[tex]2:12[/tex]

Cross cancel common factor : 2

[tex]2 \div 2 = 1 \\ 12 \div 2 = 6 \\ 1:6[/tex]

Answer:

Number of seats in first row = 2

Number of seats in 2nd row = 4

Number of seats in 3rd row = 6

Step-by-step explanation:

Let's say number of seats in first row is x.

Now we are told that each row must have two more seats

than the one before it.

Thus, the remaining 2 rows have;

(x + 2) and (x + 4) seats respectively.

We are told that that the front row must have one quarter the total seats in the

back 2 rows combined.

Thus;

x = ¼((x + 2) + (x + 4))

Multiply both sides by 4 to give;

4x = x + 2 + x + 4

4x = 2x + 4

4x - 2x = 4

2x = 4

x = 4/2

x = 2

Thus;

Number of seats in first row = x = 2

Number of seats in 2nd row = (x + 2) = 2 + 2 = 4

Number of seats in 3rd row = (x + 4) = 2 + 4 = 6

Answer:

3, 5, and 7

Explanation:

look at photo attached

Answer:

0.55

Step-by-step explanation:

Answer:

0.55

Step-by-step explanation:

44 divided by 80

= 0.55

Answer:

The answer is the middle one or B)

Step-by-step explanation:

The answer to the question is 63, and 21 times 3 is its simplest form.

Answer:

[tex]7 \sqrt{3} \times 3 \times \sqrt{3} = 7 \times 3 \sqrt{3} \times \sqrt{3} = 21 \times { \sqrt{3} }^{2} = 21 \times 3[/tex]

Answer:

7

Step-by-step explanation:

I believe it is 7. I assume this "displacement" graph shows how off the car is on the road, so when it reaches 0 again it is back to its original position. This happens at second 7

Answer:

Step-by-step explanation: