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2 years ago

Run 4 1/2 kilometers in 1/3 of an hour how many kilometers can she run in 1 hour

Mathematics

1 answer:

nordsb [41]2 years ago

8 0

Answer:

She can run 13 1/2 kilometers in an hour

Step-by-step explanation:

4 1/2 * 3 = 13 1/2

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The graph below shows the solution to which system of inequalities?

nlexa [21]

Answer:

Option D.

Step-by-step explanation:

Consider option D. $y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3$

Take point (0,0)

On putting this point in inequation $y\leq \frac{3x}{4}+10$ , we get

$0\leq 10$ which is true . So, solution is region towards the origin i,e region below the line $y= \frac{3x}{4}+10$ including the line itself .

On putting (0,0) in inequation $y\leq \frac{-x}{2}-3$ , we get $0\leq -3$ which is false , so solution is region away from the origin i.e region below line $y= \frac{-x}{2}-3$ including the line itself .

So, common solution to both the inequations is the shaded part in the given figure .

In other words, we can say that the graph shown in the given figure represents system of equations: $y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3$

5 0

2 years ago

S is the centroid of triangle XYZ. What is the length of SW? 5 units 11 units 22 units 28 units plzzz help

tatiyna

Answer: 11 units

Step-by-step explanation: Just took it on edg.

8 0

2 years ago

Read 2 more answers

Tom and his best friend are going to join a gym. Tom saw that Platinum gym has a sale with a one time fee of $90 and a monthly f

worty [1.4K]

Answer:

Part 1:

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

Part 2: $270

Part 3: $320

Part 4: 11 months

Part 5: See explanation below

Step-by-step explanation:

Part 1:

Let "x" be the number of months:

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

Part 2:

We put x = 6 in platinum gym's equation and get our answer.

90 + 30x

90 + 30(6)

90 + 180

=$270

Part 3:

We put x = 6 into super fit's equation and get our answer.

200 + 20x

200 + 20(6)

200 + 120

=$320

Part 4:

To find the number of months for both gyms to cost same, we need to equate both equations and solve for x:

90 + 30x = 200 + 20x

10x = 110

x = 11

So 11 months

Part 5:

We know for 11 months, they will cost same. Let's check for 10 months and 12 months.

In 10 months:

Platinum = 90 + 30(10) = 390

Super Fit = 200 + 20(10) = 400

In 12 months:

Platinum = 90 + 30(12) = 450

Super Fit = 200 + 20(12) = 440

Thus, we can see that Platinum Gym is a better deal if you want to get membership for months less than 11 and Super Fit is a better deal if you want to get membership for months greater than 11.

4 0

3 years ago

Compare 1⁄2 with 3⁄4 using ( <, >, =). A. 1⁄2 = 3⁄4 B. None of the above C. 1⁄2 < 3⁄4 D. 1⁄2 > 3⁄4

max2010maxim [7]

1/2 is less than 3/4. So 1/2 < 3/4

3 0

2 years ago

Blake and Ned work for home remodeling business they are putting the final touches on a home they renovated. working alone Blake

stiks02 [169]

Answer:

3.6 hours

Step-by-step explanation: