Alex has 21 marbles zach has 19 times as many marbles as alex how many marbles does zach have

11. S(-4,-6) and T(-7, -3); Find R. What is the missing endpoint if S is the midpoint of RT

Nezavi [6.7K]

answer is (-7,-9)

step by step:-

S is the midpoint of RT so ,

s= $\frac{R+T}{2 }$

$-4=\frac{x-7}{2}$ , $-6=\frac{y-3}{2}$

$-14=x-7$ , $-12=y-3$

$x=-7$ , $y=-9$

R= (-7,-9)

5 0

2 years ago

If a piece of rope cost 20 cents per 2 feet, how many feet can you buy for 30 dollars?

katrin2010 [14]

Answer: $300\ feet$

Step-by-step explanation:

Let be "x" the lenght in feet of rope that you can buy with 30 dollars.

According to the information provided in the exercise, you can buy a piece of rope of 2 feet with 20 cents.

Remember that $20\ cents=0.2\ dollars$

Knowing this, you can write the following proportion:

$\frac{0.2}{2}=\frac{30}{x}$

FInally, solving for "x", you get this result:

$\frac{0.2}{2}=\frac{30}{x}\\\\x(\frac{0.2}{2})=30\\\\x=(30)(\frac{2}{0.20})\\\\x=300$

6 0

2 years ago

A three-digit number ends in number 7. If you put the number 7 in the first position, the number will increase by 324. Find the

liq [111]

Answer:

The original three-digit number is 417

Step-by-step explanation:

Let's find out the solution to this problem, this way:

x = the two digits that are not 7

Original number = 10x+7

The value of the shifted number = 700 + x

Difference between the shifted number and the original number = 324

Therefore, we have:

324 = (700 + x) - (10x + 7)

324 = 700 + x - 10x - 7

9x = 693 - 324 (Like terms)

9x = 369

x = 369/9

x = 41

The original three-digit number is 417

5 0

2 years ago

After attending a church cookout, a number of the attendees are admitted to the emergency room with nausea, vomiting, and diarrh

Helen [10]

Answer:

0.590

Step-by-step explanation:

Cumulative frequency = number of new cases during a particular period / number of individuals at risk = number of people down with salmonella / total number of people present =49 /83 = 0.590

7 0

2 years ago

In a relay race, each runner completes the circuit 9 seconds faster than the previous one. If the first athlete runs his lap in

Alona [7]

Answer:

31 minutes

Step-by-step explanation:

Here, we have 8 competitors with the previous runner outrunning the present by 9 seconds

1st runner time = 4 minutes 37 seconds

2nd runner time = 4 minutes 37 seconds - 9 seconds = 4 minutes 28 seconds

3rd runner time = 4 minutes 28 seconds - 9 seconds = 4 minutes 19 seconds

4th runner time = 4 minutes 19 seconds - 9 seconds = 4 minutes 10 seconds

5th runner time = 4 minutes 10 seconds - 9 seconds = 4 minutes 1 second

6th runner time s= 4 minutes 1 second - 9 seconds = 3 minutes 52 seconds

7th runner time = 3 minutes 52 seconds - 9 seconds = 3 minutes 43 seconds

8th runner time = 3 minutes 43 seconds - 9 seconds = 3 minutes 34 seconds

The total time is the addition of all the times

For clarity sake, we shall be adding all the minutes together and all the seconds together;

That will be ;

(4 * 6) + 3 minutes + ( 34 + 43 + 52 + 1 + 10 + 19 + 28 + 37)

= 27 minutes + 224 seconds

We need to convert 224 seconds to minutes

Since 60 seconds make one minute; we have

224 - 60(3) = 3 minutes and 44 seconds

Let’s add this to the minutes we had before

That would be;

27 minutes + 3 minutes + 44 seconds

= 30 minutes 44 seconds

since 44 seconds is greater than 1/2 minute (30 seconds), we can approximate it to 1 minute

So the total time is 30 minutes + 1 minute = 31 minutes

8 0

2 years ago