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rjkz [21]
3 years ago
11

How do you regroup on a subtraction ?

Mathematics
1 answer:
RSB [31]3 years ago
5 0
I hope this is what you're looking for. The concept of regrouping<span> (borrowing) is so that students can see what actually happens in it. For example, to </span>subtract <span>52 − 38, we write 52 as 50 + 2 (breaking it down into its tens and ones). Then, </span>regrouping<span> means that 50 + 2 becomes 40 + 12.</span>
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Substitution method<br> x=2y<br> 2x+5y=4
Dvinal [7]

Answer:

y=4/9

Step-by-step explanation:

Substitute 2y into the x

2(2y)+5y=4

4y+5y=4

9y=4

y=4/9

6 0
3 years ago
Which of these shapes have the same area?
zvonat [6]

Answer:

wheres the picture?

Step-by-step explanation:

3 0
3 years ago
An apartment complex charges a refundable security deposit when renting an
andriy [413]

Answer:

The monthly rent of the complex = $ 650

and $450 is the security deposit.

Step-by-step explanation:

The amount paid for first month's rent = $1100

Now, let the monthly rent of the complex   = $K

So, Deposit on the monthly rent = $ ( K - 200)

Now, according to the question:

$K +  $ ( K - 200) =  $1100

or, 2K  =  1100 + 200

or, K = 1300/2 = 650

or, K =  $ 650

Hence, The monthly rent of the complex = $ 650

and the deposit of the rent =  K -200 = 650 - 200 = $450

8 0
3 years ago
Hannah has to make 180 gallons of punch for a big party. The punch is made of soda and fruit drink. The cost of the soda is $2.4
vesna_86 [32]

Answer: 90 per each is you want how much money is needed in total that is 47.20 dollars

Step-by-step explanation:

8 0
3 years ago
Find the vertex point, axis of symmetry, x-intercepts, and y-intercept of the
Bond [772]

Answer:

1) Vertex point (-1.5,-20.25)

2) axis of symmetry: x=-1.5

3) x-intercepts: (-6,0) and (3,0)

4) y-intercept: (0,18)

5) Graph in attachment.

Step-by-step explanation:

1) The given parabola has equation:

y =  {x}^{2}  + 3x - 18

We need to complete the square.

y =  {x}^{2}  + 3x + {1.5}^{2}   -  {1.5}^{2} - 18

y = ( {x + 1.5)}^{2}  - 20. 25

This function is in the vertex form:

y = a( {x - h)}^{2}  + k

where (h,k) is the vertex, x=h is the axis of symmetry.

By comparing our equation to the general vertex form:

The vertex point is (-1.5,-20.25)

2) The axis of symmetry divides the parabola into two congruent halves.

Since this is a vertical parabola, the axis of symmetry occuring at x=h is a vertical line.

The axis of symmetry is x=-1.5

3) Y-INTERCEPT.

The y-intercept is the point where the graph cross the y-axis.

At this point, the value of x is zero.

To find the y-intercept, we substitute x=0 in the equation of the parabola and simplify.

when x=0,

y =  {(0)}^{2}  + 3(0) - 18 =  - 18

The y-intercept is (0,-18).

4) X-INTERCEPT

The x-intercepts are the points where the graph touches or intersect the x-axis.

To find the x-intercept, we substitute y=0.

( {x + 1.5)}^{2}  - 20.25 = 0

Add 20.25 to both sides;

( {x + 1.5)}^{2}   =  20.25

Take square root.

(x + 1.5)=  \pm \sqrt{20.25}

x =   - 1.5\pm 4.5

x =   - 1.5 -  4.5 \:  \:  or \:  \: x =  - 1.5 + 4.5

x =  - 6 \: or \: x = 3

The x-intercepts are(-6,0) and (3,0).

4) GRAPH

To graph this function, we can use transformation.

To graph the function,

y =  {(x + 1.5)}^{2}  - 20.25

We shift the parent quadratic function 1.5 units left and 20.25 units down.

See attachment for graph.

5 0
3 years ago
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