Which expression is equivalent to 18s+9t+36

If y varies directly with x and y = 5 when x = 4, find the value of y when x = -8.

lilavasa [31]

Answer:

-10

Step-by-step explanation:

y= kx

or, k= y/x

or, k = 5/4

k = 1.25

y= kx = 1.25 × (-8) = -10

8 0

3 years ago

On a map of Arizona, the scale is 1 inch = 5 inches. The distance between Brady's house and Flagstaff is 23 inches on the map. W

sladkih [1.3K]

So we know that 1 inch on the map = 5 inches.

So if Brady's house is 23 inches away from Flagstaff on the map:

23 * 5 = 115.

So 115 inches is the actual distance...

Wait. His house is 9 feet away from Flagstaff? That's cool.

7 0

3 years ago

Joey Chestnut is trying to break his own record for eating the most whole hot dogs in 101010 minutes. He needs to eat more than

anygoal [31]

Answer:

$9d+11\frac{1}{4}>72$

Step-by-step explanation:

We are supposed to write an inequality to determine the number of hot dogs per minute Joey must eat for the last 9 minutes to break his record.

Let d represent the number of hot dogs Joey eats per minute for the next 9 minutes.

We have been given that after 1 minute, Joey has eaten $11\frac{1}{4}$ hot dogs.

Hot dogs eaten in next 9 minutes would be 9 times d that is $9d$ .

Total hot dogs eaten by Joey would be hot dogs eaten in 1 minute plus next 9 minutes: $9d+11\frac{1}{4}$ .

Since to break the record Joey needs to eat more than 72 hot dogs. We can represent this information in an inequality as:

$9d+11\frac{1}{4}>72$

Therefore, our required inequality would be $9d+11\frac{1}{4}>72$ .

3 0

3 years ago

Can you completely over a 4 ft by 8 ft area with 3 ft by 3 ft tiles?

Vika [28.1K]

Yes, but not without cutting some of the tiles into smaller pieces.

The length of the area is 8-ft. That's (2 and 2/3) tiles long.

The width of the area is 4-ft. That's (1 and 1/3) tiles wide.

So you can't just put down rows and columns of whole tiles
and cover the whole area.
______________________________________

Another way to look at it:

-- The area of the whole big plot is (8 x 4) = 32 square feet.

-- Each tile covers (3 x 3) = 9 square feet.

-- You can't cover 32 square feet with 9-square-feet pieces.
Either you have to cut something off, or else you have to let
something hang outside of the lines.

6 0

3 years ago

What is the smallest angle of rotational symmetry for a square

mars1129 [50]

When we rotate a figure and there is no change in the shape of the figure then it has rotational symmetry.

We know that the order of rotation for a square is 4.

Hence, we have $\frac{360}{4} =90^{\circ}$