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marissa [1.9K]
1 year ago
9

1. Explain how you would model 5 x 2/32. When you multiply 2/3 by a fraction less than one, how does the product compare to the

factors? Explain.3. There is 5/6 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1/6 of the pie that was left. How much of the whole pie will he eat tomorrow?A. 1/36B. 5/36C. 1/3D. 2/34. Matt made the model below to help him solve his math problem. Which of the expressions could he have been working out? (Yes, I made the model which emojis.) Blue Heart: Green SquareYellow Heart: Yellow Square Broken Heart: Blank Squareexplain how you can model 5 x 2/3A. 3/12 x 3/4B. 3/4 x 3C. 3/12 x 3/12D. 1/3 x 3/45. If an angle measures 100 degrees, through what fraction of a circle does the angle turn?A. 1/100B. 1/4C. 100/360D. 1/2
Mathematics
1 answer:
tigry1 [53]1 year ago
8 0

We need find the value of "5 times 2/3" using model.

2/3 can be represented by a rectangle in which 2 out of 3 parts are colored.

When we find 5 times 2/3, then the total colored parts are 10

5 times 2/3 is the same that Add 2/3 five times, that is:

5 x 2/3 = 2/3 + 2/3 + 2/3 + 2/3 + 2/3

take into account that the sum of fractions with the same denominators is equal to the sum of the numerators, over the common denominator, as follow:

2/3 + 2/3 + 2/3 + 2/3 + 2/3 = 10/3

The model is shown below:

You can notice that each rectangle has 2 blue parts of the total three parts, that is, 2/3. And due to there are other five rectangles with 2/3 of blue parts, then, you have 5 times 2/3, or 5 x 2/3 = 10/3.

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PSYCHO15rus [73]
I think its A but im not absolutely sure

4 0
3 years ago
Read 2 more answers
ΔMNO is shown.
JulijaS [17]

Answer:

ABC - AAS

DEF - not enough information

GHI - not enough information

JKL - SAS

Step-by-step explanation:

SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

AAS postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

HL postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

1. In triangles MNO and ABC, there are two congruent sides and non-included angle - AAS

2. In triangles MNO and DEF, there are two congruent sides  - there is not enough information

3. In triangles MNO and GHI, there are three congruent angles  - there is not enough information

4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS

5 0
3 years ago
Q(x)=x^3+ax^2+2b is divided by (x-3) and has a remainder of 4. Find the values of "a" and "b"​
Sati [7]

Answer:

Let p(x) = x3 + ax2 + bx +6

(x-2) is a factor of the polynomial x3 + ax2 + b x +6

p(2) = 0                                                                                      

p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0

7 +2 a +b = 0

b = - 7 -2a -(i)                                                                              

x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.

p(3) = 3                                                                                      

p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3

11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)                                    

Equating the value of b from (ii) and (i) , we have

(- 7 -2a) = (-10 - 3a)

a = -3                                                                                          

Substituting a = -3 in (i), we get

b = - 7 -2(-3) = -7 + 6 = -1

Thus the values of a and b are -3 and -1 respectively.

Step-by-step explanation:

4 0
2 years ago
Five packets of almonds cost 2m dollars. Mandy buys 3 packets of almonds. How much change does she receive if she paid with a $1
Vitek1552 [10]

Answer:

$4

Step-by-step explanation:

if its $2 per packet and he is buying 3 do 2x3 which is 6 then 10-6 which is $4

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3 years ago
Please help, will give 25 points
puteri [66]

Answer:

need to find value of x

Step-by-step explanation:

5 0
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