Mrs. Dodson has a jar full of pennies and quarters. There are 120 coins in the jar worth a total of $12. Find the number of pennies and the number of quarters in the jar.

Answer: The solution is (3, -2)

This means that x = 3 and y = -2 pair up together.

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Explanation:

The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).

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As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation

y = (-5/3)x + 3

y = (-5/3)*3 + 3

y = -5+3

y = -2

The first equation is confirmed. Let's check the second equation

y = (1/3)x - 3

y = (1/3)*3 - 3

y = 1 - 3

y = -2

Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.

Answer:

It will take will 20 days to have a balance of $0

Answer:

It has no value.

Step-by-step explanation:

Answer:

5 : 1 = 15 : 3

Step-by-step explanation:

5 + 1 = 18

6 = 18

= 18/6

= 3

5 × 3

= 15

1 × 3

= 3

Answer:

Step-by-step explanation:

Please use " ^ " to indicate exponentiation:

A = x^2 + 9x - 36.  This factors into A = (x + 12)(x - 3).  We can assume that the length of the parallelogram is x + 12 and that the width is x - 3.

Note that if x = 3 the area becomes zero.  So:  x must be greater than 3, so that the (x - 3) factor is positive.

Example:  If x = 4, then the dimensions of the parallelogram are 4 + 12, or 16, and 4 - 3, or 1.  

Answer:

Y= 5

Step-by-step explanation:

[tex]3(0) + y = 5 \\ y = 5[/tex]

Answer:

Equation: 100 = 2x + 4y

There are 9 4 points problems

Step-by-step explanation:

In this case, we know that we have a test that in total, we must sum 100 points. This could be with question of 2 points or questions of 4 points.

We do not know exactly how many questions of 2 or 4 point are, but we can write an equation that could give us an idea.

Let's call "x" the number of questions worth 2 points.

Let's call "y" the number of questions worth 4 points.

All together must give 100 points, therefore, the logic equation to do this is:

Now, for the second part of this problem, we want to know how many 4 points problems would be in the test if we have 32 questions of 2 points. For that, we use the above equation, and solve for y:

100 = 2(32) + 4y

100 = 64 + 4y

100 - 64 = 4y

36 = 4y

Hope this helps

Answer:

8) P=32 feet

9) W=5 feet

10) P=28 Inches

Step-by-step explanation:

Answer:

z = -4050

Step-by-step explanation:

x × y × z

90 × 45 × z

4050 = -z

4050 = -z \ × -1

-4050 = z

Answer:

Area of sector = 102.6 feet squared

Step-by-step explanation:

Given:

Radius of circle = 14 ft

Angle θ = 60°

Find:

Area of sector

Computation:

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Answer:

233982

Step-by-step explanation:

Answer:

233,982

Step-by-step explanation:

222840x0.05=11142

222840+11,142= 233,982

Answer:

4,6 ,7,8

Step-by-step explanation:

Answer:

The solution of the given equations are (3,2).

Step-by-step explanation:

Given equations are :

3d−e=7 ...(1)

d+e=5 ...(2)

Add equations (1) and (2) we get :

3d-e+d+e=7+5

4d = 12

d = 3

Put the value of d in equation (2).

3+e=5

e = 2

So, the value of d = 3 and e = 2. Solution of the given equations are (3,2).

Answer:

1)T> DV and W>DV

Step-by-step explanation:

Answer:

answer is d your welcome

Answer:

Its good and yours? ill try to answer ur question i might not know lol

Step-by-step explanation:

Answer:

hello

Step-by-step explanation:

Answer:

we all need help sometimes

Step-by-step explanation:

Answer:

y = -1/3x + 2

Step-by-step explanation:

Divide everything by 2

Answer:

62?

Step-by-step explanation:

I just subtracted 76 and 14, I don't know if i'm right

Answer:

29 degrees

Step-by-step explanation:

Interior angle + exterior angle= 180 degrees

180-56=124

124+27=151

180-151=29

Hope this helps! :)

The area of the circle will be 3.14 feet .

Find the area of a circle with a diameter of 2 feet. Use 3.14 for π.

★Given,

→ Diameter = 2 feet

→ Circumference = 2/2 = 1 feet

★Now,

→Area of a circle = πr²

→ = 3.14 × 1 × 1

→ = 3.14 feet

Hence , the circumference is 3.14 feet.

Answer:

Answer is 0.44

Step-by-step explanation:

44/100=0.44

Answer:

0.44

Step-by-step explanation:

Here's a little secret you can use to instantly turn any fraction to a decimal: Just divide the numerator by the denominator!

1.) 44/100  = 44 ÷ 100  = 0.44

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Hope I helped!!!

GL :)

Answer:

Option D. y = 5x + 1

Step-by-step explanation:

From the question given above, the following data were:

Input (x) >>>>>> Output (y)

0 >>>>>>>>>>>> 1

1 >>>>>>>>>>>> 6

2 >>>>>>>>>>>> 11

3 >>>>>>>>>>>> 16

4 >>>>>>>>>>>> 21

To know the the correct answer to the question, we shall apply the equation given in each option to see which will satisfy the table. This can be obtained as follow:

For Option a

y = 3x + 3

x = 0

y = 3(0) + 3

y = 0 + 3

y = 0

y = 3x + 3

x = 1

y = 3(1) + 3

y = 3 + 3

y = 6

For Option b

y = 5x – 4

x = 0

y = 5(0) – 4

y = 0 – 4

y = – 4

y = 5x – 4

x = 1

y = 5(1) – 4

y = 5 – 4

y = 1

For Option c

y = 10x – 9

x = 0

y = 10(0) – 9

y = 0 – 9

y = – 9

y = 10x – 9

x = 1

y = 10(1) – 9

y = 10 – 9

y = 1

For Option d

y = 5x + 1

x = 0

y = 5(0) + 1

y = 0 + 1

y = 1

y = 5x + 1

x = 1

y = 5(1) + 1

y = 5 + 1

y = 6

From the illustrations made above, only option d satisfy the table. Thus, option d gives the correct answer to the question.

Step-by-step explanation:

Work out the squares by themselves, if each square is 2, to work out the area=base x height

if each scale has been enlarged by 2 then 2x2=4 each square is 4cm², there are 5 squares

4x5=20cm²

Answer:{ x,y } = { - 2, - 3 }

Step-by-step explanation: 4x = 2y - 2                                                                      

x = y/2 - 1/2                  

3. (y   /2 -  1/2 ) + 2y  =  - 12  

7y/2 =  - 21/2  

7y =   -  21    

x =   y/2 - 1/2  

   y =  - 3    

x = (/2) ( - 3 ) - 1/2 = - 2

Answer:

Step-by-step explanation:

Answer: 875

Step-by-step explanation:

You can set up proportions so it’s like: 1/350=2.5/x and then solve for x