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AnnZ [28]
2 years ago
6

Please answer!it is grade 6 math

Mathematics
1 answer:
vova2212 [387]2 years ago
5 0
Answer:

AB+BE+EF+GF+HG+AH = 14 #EQU 1
BC+CD+DE+EF+GF+BG = 22 #EQU 2
AB+BC+CD+DE+EF+GF+HG+AH = 24 #EQU 3
IMPLEMENTING EQU 2 IN EQU 3
AB+22-EF+ HG+AH = 24 # EQU 5
FROM EQU 1
AB+HG+AH = 14-(BE+EF+GF) #EQU 4
IMPLEMENTING EQU 4 IN EQU 5
22+14 - (BE+EF+GF+EF) = 24
36 - 24 = BE+EF+GF+BG(EF=BG)
12 = PATH TAKEN ON THURSDAY

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Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
Charra [1.4K]

Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

  x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16)  = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

  (x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

  x(x⁴ +4) = 1(1⁴ +4) = 5

  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

  5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0
2 years ago
What two-dimensional figure will result from slicing this rectangular prism parallel to its base?
alina1380 [7]

Answer:

We will obtain a rectangle on slicing this rectangular prism parallel to it's base.

Hence, option 1) is true.

RECTANGLE.

Step-by-step explanation:

On slicing this geometrical figure; which is a rectangular prism parallel to it's base then we will obtain a figure similar to it's base of the same dimensions as it's base.

As the base of the rectangular prism is a rectangle so on slicing this 3-dimensional figure parallel to it's base we will obtain rectangles.

Hence, option 1 is true.

RECTANGLE.

8 0
3 years ago
8) x - 5y = -15<br> x - 2y = -12
Alex787 [66]

Answer:

If solving for X. (didn't know if you were solving for X or Y.

x=2y-12

x=5y-15

Step-by-step explanation:

x-2y=-12

+2y on both sides

x=2y-12

x-5y=-15

+5y on both sides

x=5y-15

6 0
3 years ago
Read 2 more answers
The equation the quantity 2x minus 20 divided by 3 = 2x models temperature change, where x represents the difference in degrees
irina [24]

The solution to the equation is x = -5

<h3>How to determine the value of x?</h3>

The equation is given as:

the quantity 2x minus 20 divided by 3 = 2x

Rewrite properly as

(2x - 20)/3 = 2x

Multiply through by 3

2x - 20 = 6x

Collect like terms

6x - 2x = -20

This gives

4x = -20

Divide by 4

x = -5

Hence, the solution to the equation is x = -5

Read more about equations at:

brainly.com/question/13763238

#SPJ1

5 0
1 year ago
How do you simplify 2 15/10?
sdas [7]
First you take 15/10 and see that you can take 5 out of the top and bottom, so it would become 3/2. Now you have 2 3/2.   2 goes into 3 once with 1 remainder so 3/2= 1 1/2
So then you take the original 2 and add it to 1 1/2. The answer is now 3 1/2
6 0
3 years ago
Read 2 more answers
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