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Dmitry_Shevchenko [17]
1 year ago
11

Jenna’s method: Mia’s method:

Mathematics
2 answers:
boyakko [2]1 year ago
5 0

Answer:

Mia's method have one advantage that the steps became less than Jenna's method.          

Step-by-step explanation:

Jenna’s method :

5(30 + 4)

=(5)(30) + (5)(4)

=150 + 20

=170

Mia’s method :

5(30 + 4)

=(5)(34)

=170

To find : Explain why both Jenna and Mia arrived at the same answer and the advantage of one method over the other ?

Solution :

The method of both were different but correct.

One apply distributive property and other apply direct calculation.

So, both Jenna and Mia arrived at the same answer

But Mia's method have one advantage that the steps became less than Jenna's method.

lbvjy [14]1 year ago
5 0

Answer:

Both methods multiplied 5 and 34, but Jenna’s method used the distributive property to simplify the multiplication so she could do the math mentally. Mia’s method would require more complex multiplication.

Step-by-step

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On a coordinate plane, square P Q R S is shown. Point P is at (4, 2), point Q is at (8, 5), point R is at (5, 9), and point S is
sergey [27]

Answer:

(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

  • Point P is at (4, 2),
  • Point Q is at (8, 5),
  • Point R is at (5, 9), and
  • Point S is at (1, 6)

Midpoint of SQ =\frac{1}{2}(1+8,5+6)=(4.5,5.5)

Midpoint of PR =\frac{1}{2}(4+5,2+9)=(4.5,5.5)

Now, we have established that the midpoints (point of bisection) are at the same point.

Two lines are perpendicular if the slope of one is the negative reciprocal of the other.

In option D

  • Slope of RP =7
  • Slope of SQ  =-\dfrac17

Therefore, lines RP and SQ are perpendicular.

Option D is the correct option.

6 0
2 years ago
Can someone help please
riadik2000 [5.3K]

Answer:

  62 Sunday papers were sold

Step-by-step explanation:

Let x represent the number of Sunday papers sold. Then half that many, or x/2, is the number of Friday papers sold. The total revenue from the sales is the sum of products of quantity and price:

  1.50 · x + 0.75 · (x/2) = 116.25

Multiplying by 2, this becomes ...

  3.00x +0.75x = 232.50

  3.75x = 232.50

Dividing by the coefficient of x gives ...

  232.50/3.75 = x = 62

The number of Sunday newspapers sold is 62.

6 0
2 years ago
The square of a number decreased by 3 times the number 28 find all possible values for the number
stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number  

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

a^2 - 3a = 28

a^2 - 3a - 28 = 0

Let us solve the above quadratic equation

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28

\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}

Thus the possible values of number are 7 and -4

5 0
1 year ago
In a café, drinks are priced according to what size they are.
Andrei [34K]
A) Gavin’s drinks altogether cost £9.00
1.50+2.50x3
=1.50+7.50
=£9.00
b) Lian gets back £3.50
1.50+2.00+3.00
=6.50

10.00-6.50=£3.50
8 0
2 years ago
Circle groups to show 3x(2x3)
docker41 [41]
2x3=6x3=18 u always do PEMDAS,
5 0
2 years ago
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