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2 years ago

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:

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:

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