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AveGali [126]
3 years ago
14

How many solutions exist for the system below? In two or more complete sentences, give the solution and explain how you solved t

he system. y=-2x + 3 y = -2×3x​
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

y=-2x + 3

y = -2*3x​

Both equations are lines.

Two lines will intersect at one point

I will set the two equations equal and solve for the x coordinate.

-2x+3 = -6x

Add 2x from each side

3 = -4x

Divide by -4

-3/4 = x

Now find y

y = -6x

y = -6(-3/4)

y = 18/4 = 9/2

The solution is ( -3/4, 9/2)

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Polly buys 14 cupcakes for a party. The bakery puts them into boxes that hold 4 cupcakes each.
Temka [501]

Answer:

Part a) The number of boxes needed will be 4

part b) The fraction of the box that is empty is \frac{1}{2}

Part c) Are needed 2 cupcakes to fill the last box

Step-by-step explanation:

Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?

To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).

so

\frac{14}{4}=3.5\ box

Round up

The number of boxes needed will be 4

Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?

we know that

The maximum number of cupcakes per box is 4

The first three boxes have 4 cupcakes

The last box has

14-3(4)=2\ cupcakes

The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box

\frac{2}{4}=\frac{1}{2}

Part c) How many more cupcakes are needed to fill this box

Subtract the number of cupcakes in the box from the cupcake capacity of the box

The last box has 2 cupcakes

The cupcake capacity of the box is 4

so

4-2=2\ cupcakes

therefore

Are needed 2 cupcakes to fill the last box

8 0
3 years ago
The area of a square is 900cm, Find the perimeter
Olegator [25]

Answer:

3600

Step-by-step explanation:

the formula to find the area of a square is:

A=a2

the formula to find the perimeter of a square is:

P=4a

hope that helps

7 0
3 years ago
Read 2 more answers
The value of 5/32 divided by 25/4
weqwewe [10]

Answer:

1/40

Step-by-step explanation:

7 0
3 years ago
The principal spent $500 to buy new classroom materials. 40% of the money he spent went towards pencils. How much money did the
kolezko [41]

Answer:

$200

Step-by-step explanation:

8 0
3 years ago
Answer the following True or False:
Ilia_Sergeevich [38]

False; consider as a counterexample the function <em>f</em> : ℝ→ℝ defined by

f(x)=\begin{cases}-3&\text{for }x\neq2\\0&\text{for }x=2\end{cases}

Clearly <em>f</em> approaches -3 as <em>x</em> gets closer to -2, but neither limit from either side is equal to the function's value at <em>x</em> = 2 (that is, -3 ≠ 0), so <em>f</em> is not continuous.

4 0
3 years ago
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