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stira [4]
3 years ago
5

Horatio wrote the multiplication facts for 8. which digit will not be in the ones place of the products?

Mathematics
1 answer:
dangina [55]3 years ago
5 0

Answer:

Odd digits like 1, 3, 5, 7, and 9will not be at ones place of the products.

Step-by-step explanation:

If we look at multiplication facts of 8 we can see that,

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96 etc

We can see that at the ones place, only even digits show up, like

0, 2, 4, 6, 8

But there is no odd digit at ones place.

So if Horation wrote the multiplication facts for 8, none of the odd digits will be there at ones place. Those digits include, 1, 3, 5, 7 and 9.

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The line x+ 2y = 9 intersects the curve xy + 18 = 0 at the points A and B. Find the coordinates of A and B.
victus00 [196]
Subtracting the second equation by 18 on both sides, we have xy=-18. Next, we divide both sides by x to get y=-18/x  Plugging that into the first equation, we have x+2(-18/x)=9. Multiplying both sides by x, we get x^2-36=9x. After that, we subtract both sides by 9x to get x^2-9x-36=0. Finding 2 numbers that add up to -9 but multiply to -36, we do a bit of guess and check to find the answers to be -12 and 3. Factoring it, we get 
x^2-12x+3x-36=x(x-12)+3(x-12)=(x+3)(x-12). To find the x values, we have to find out when 0=(x+3)(x-12). This is simple as when you multiply 0 with anything, it is 0. Therefore, x=-3 and 12. Plugging those into x=-18/y, we get x=-18/y and by multiplying y to both sides, we get xy=-18 and then  we can divide both sides by x to get -18/x=y. Plugging -3 in, we get -18/-3=6 and by plugging 12 in we get -18/12=-1.5. Therefore, our points are (-3,6) and (12, -1.5)
6 0
3 years ago
If a physician order is 25% dextrose 1000 mL and all you have is 70% dextrose 1000 mL and 5% dextrose how much 70% dextrose will
miskamm [114]

Answer:

The answer is below

Step-by-step explanation:

Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:

The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x

25% of 1000 ml = 70% of x + 5% of (1000 - x)

25000 = 70x + 5000 - 5x

Simplifying gives:

65x = 25000 - 5000

65x = 20000

x = 308 ml

Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.

7 0
3 years ago
Is parallelogram ABCD a rectangle?
Fantom [35]

Answer:

No

Step-by-step explanation:

Sides AB to DC aren't congruent/parallel

Sides BC to AD aren't congruent/parallel

6 0
3 years ago
Complete the equation of the line through (−10,3) and (-8,-8)
yawa3891 [41]

Answer: y = (-11/2)x -52

Aka y=mx*b

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Problem 1:
pishuonlain [190]

Answer:

A = 2

D = 1

B = 4

C = 3

Step-by-step explanation:

Height of water in bathtub is a function of water in bathtub.

P(t) = w ; t = time ; w = height of water.

A: P (0)=0 ; At time, t = 0 ; height of water = 0, there is no water on bathtub

2: The bathtub starts out with no water.

D: P (20) = 0 ; At time, t = 20 ; w = 0 ;the tub is empty.

1: After 20 minutes, the bathtub is empty.

B:P (4)= 10 `; At t = 4, w = 10 ; height of water in bath tub is 10

4: The height of the water is 10 inches after 4 minutes

C:P (10) = 4 ; At t = 10, w =4, height of water in bathtub = 4 inches

3: After 10 minutes, the height of the water is 4 inches.

.

5 0
3 years ago
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