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3 years ago

How do i do this? i cant quite remember

Mathematics

1 answer:

makkiz [27]3 years ago

6 0

Answer:

x= -1

y= 3

Step-by-step explanation:

hope the answer will helpful to u

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there are 27 red or blue marbles in the bag the number of red marbles is 5 less than three times the number of blue marbles how

maria [59]

Answer=24 blue marbles and 3 red marbles

r=red marbles
b=blue marbles
b=3(r+5)

27=b+r
substitue b for '3(r+5)'
27=3(r+5)+r
27=3r+15+r
27=4r+15
subtract 15 from both sides
12=4r
divide both sides by 4
3=r

There are 3 red marbles

27=b+r
27=b+3
subtract 3 from both sides
24=b

There are 24 blue marbles

8 0

3 years ago

The cost for taking a taxi is $1.80 plus $0.10 per eighth of a mile. What is the cost of a ride that is 4.5 miles long?

Sergio039 [100]

Answer:

$1.80 + (8x$0.10)*4.5 = $5.40

Step-by-step explanation:

$1.80 base cost

$0.10 for an 8th of a mile, thus multiply by 8 = $0.80 per mile

So, $1.80 + (4.5 * $0.8) = $5.40

7 0

3 years ago

Read 2 more answers

98 POINTS! PLEASE HELP! I been stuck on this assignment for over 2 weeks. My teacher gave me a simple explanation when I asked f

Colt1911 [192]

See the attached picture.

Create an equation for the volume of the box, find the zeroes, and sketch the graph of the function.

The resulting box has a volume

$V(x)=x(8-x)(12-x)=x^3-20x^2+96x$

because the volume of a box is the product of its width $(12-x)$ , length $(8-x)$ , and height $(x)$ .

find the zeroes

You know right away from the factored form of $V(x)$ that the zeroes are $x=0,8,12$ . (zero product property)

sketch the graph of the function

Easy to plot by hand. You know the zeroes, and you can check the sign of $V(x)$ for any values of $x$ between these zeros to get an idea of what the graph of $V(x)$ looks like. See the second attached picture.

Here's what I mean by "check the sign" in case you don't follow. We know $V(x)=0$ when $x=0$ and $x=8$ . So we pick some value of $x$ between them, say $x=1$ , and find that

$V(1)=1(8-1)(12-1)=7\cdot11=77$

which is positive, so $V(x)$ will be positive for any other $x$ between 0 and 8. Similarly we would find that $V(x)$ for $x$ between 8 and 12, and so on.

What is the size of the cutout he needs to make so that he can fit the most marbles in the box?

It's impossible to answer this without knowing the volume of each marble...

If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be?

Thomas wants $V(x)=12$ , so you solve

$x^3-20x^2+96x=12$

While this is possible to do by hand, the procedure is tedious (look up "solving the cubic equation"). With a calculator, you'd find three approximate solutions

$x\approx0.1284$