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exis [7]
2 years ago
11

Mr.Simpson feeds his dog 1/2 of a cup of dog food each day. How long will 4 cups of dog food last?

Mathematics
1 answer:
sleet_krkn [62]2 years ago
4 0

Answer:

8 days :)

Step-by-step explanation:

1/2 x 4

1/2 + 1/2 = 1

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 8

1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 = 8

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The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w
raketka [301]

Answer:

61

Step-by-step explanation:

Let's find the points A and B.

We know that the y-coordinates of both are 3.

So let's first solve:

3=4x^2+x-1

Subtract 3 on both sides:

0=4x^2+x-1-3

Simplify:

0=4x^2+x-4

I'm going to use the quadratic formula, x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}, to solve.

We must first compare to the quadratic equation, ax^2+bx+c=0.

a=4

b=1

c=-4

\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}

\frac{-1 \pm \sqrt{1+64}}{8}

\frac{-1 \pm \sqrt{65}}{8}

Since the distance between the points A and B is horizontal. We know this because they share the same y-coordinate.This means we just need to find the positive difference between the x-values we found for the points of A and B.

So that is, the distance between A and B is:

\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}

\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}

\frac{2\sqrt{65}}{8}

\frac{\sqrt{65}}{4}

If we compare this to \frac{\sqrt{m}}{n}, we should see that:

m=65 \text{ and } n=4.

So m-n=65-4=61.

5 0
3 years ago
Read 2 more answers
In a jewelry store, rings makeup 5/9 of the inventory. Earrings make up 4/15 of the inventory. How many times greater is the rin
Free_Kalibri [48]
First let's make the denominators equal, so that we can compare the two fractions more easily.
To do this, we have to find a number that both 15 and 9 divide into. The smallest number that this can happen to is 45.

15 x 3 = 45
9 x 5 = 45

So we have to multiply 15 by 3 in order to make it into 45. If we're changing the denominator, the numerator must change too, by the same multiplier.

4 ---> 4 x 3 = 12
--
15 ---> 15 x 3 = 45

4/15 = 12/45


5 ---> 5 x 5 = 25
--
9 ---> 9 x 5 = 45

5/9 = 25/45

To find how many times more rings there are, we divide 25 by 12. As the result of this isn't an integer, we leave the answer as a fraction:

There rings inventory is 25/12 times bigger than the earrings inventory.
4 0
3 years ago
12. The equation y = 1.2x + 3 can be used to approximate the total revenue y, in millions of dollars, of the eQuest Company in y
brilliants [131]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
PLEASE SOLVE IT <br>CORRECT ANSWER WILL BE BRAINLIST<br>ANSWER​
Yanka [14]

Answer:

(i) number of student passed in math is 60

(ii) number of student passed in science is 70

only math is 10

and only science is 20

6 0
3 years ago
ETHANHUNT HELP HERE WOULD BE APPRECIATED
labwork [276]
We know, Length of Image = Length of Object * Dilation factor, 

Just substitute your known values, 
Length of Image = 9 * 2 = 18

In short, Your Answer would be 18 cm

Hope this helps!
4 0
3 years ago
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