Write a problem that can be solved using the equation 2 N divided by three equals 10

A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

so

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

3 0

3 years ago

Bill has two fat cats. He feeds each cat 150 grams of dry food each, twice a day. If he buys a 5 kilogram bag of dry food, about

Alinara [238K]

Answer: 4 days (I think)

Step-by-step explanation:

One cat = 150*2 = 300g

Two cats = 600g

600*2 = 1200 (this is the total amount of food they both eat in a day)

5kg = 5000g

1200g/5000g = 4.17

The bag will last 4 days.

6 0

3 years ago

Graph the equation using the point and the slope.

Alekssandra [29.7K]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have the equation of the line in point slope form

$y-5=\frac{1}{5}(x-5)$

where

the point is (5,5)

the slope is m=1/5

Remember that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

so

<em>To graph the line</em>

1. Plot the point (5,5).

2. From that point, count right 5 units and up 1 unit and plot a second point.

3. Draw a line through the two points

so

The new point is (5+5,5+1) ----> (10,6)

Plot the points (5,5) and (10,6) and draw a line through the two points

The graph in the attached figure

3 0

3 years ago

Gavin is working to get his private pilot certificate he must fly minimum of 2020 hours with his plane instructor before he can

irinina [24]

Answer: He needs a minimum of 2011.25 hours

Step-by-step explanation:

In order for Gavin to get his private pilot certificate he must fly solo.

He must fly a minimum of 2020 hours with his plane instructor before he can fly solo.

He has already flown 8 3/4 hours with his instructor. This is express as 8hours + (3/4 × 1) = 8.75 hours

To determine how many more flying hours that he needs before he can fly solo, we will subtract the number of hours that he had flown from the the minimum of 2020 hours . it becomes

2020 - 8.75 = 2011.25.

He needs a minimum of 2011.25 hours

5 0

3 years ago

Please help please thanks

alexandr402 [8]

Fraction: 16/75
Decimal: 0.21

8 0

3 years ago