Beverly can drive 600 miles in the same time as it takes Susan to drive 500 miles. If Beverly drives 10 mph faster than Susan, then how fast does Beverly drive?

Answers

Answer 1

Answer: t = D/rtimes the sameBev = Susan's time600mi/r+10 = 500mi/r
600r = 500r + 5000100r = 5000r = 50mph, Susan's speed. Beverly's is 60 mph 50+10And...checking600/60 = 500/50 = 10hr

Answer 2

Answer: 600/x +10 =500/x Cross multiply.
600x=5000+500x
100x=5000
X=50
50+10=60
Check work. Beverly drives 60mph

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A music playlist has 31 hip hop songs, 44 rock songs, and 13 popular songs.How many songs are in the playlist

Answers

Answer:

Step-by-step explanation:

31+44+13 = 88

Answer:

Step-by-step explanation:

31+44+13=

75+13=

there are 88 songs in the playlist

There are 98,515 tress at Washington Park.If there are 85 acres of land,and the trees spread out evenly,how many trees are there on each acre of land?(show work )

Answers

To answer this all we need to do is DIVIDE.

98515 ÷ 85 = 1159

CHECK OUR WORK

1159 × 85 = 98515

So, we were right!! :)

So, there would be 1159 trees on each acre.

Hope I helped ya!!

Answer

Find out the how many trees are there on each acre of land .

To prove

Let us assume that the trees are there on each acre of land = x

As given

There are 98,515 tress at Washington Park.

If there are 85 acres of land

the trees spread out evenly i.e the tree are equally divided in each acre of land .

Than the equation becomes

$x = (98515)/(85)$

x = 1159

Therefore are 1159 trees on each acre of land .

Hence proved

The quotient of 56 and a number is 14

Answers

The annswer of the problem In my opinion is 56/n

Well the other number would be 4

Find the radius of a circle if a central angle of π intercepts an arc of 32 inches. Round to the nearest tenth.a. 3.1 in.
b. 10.2 in.
c. 100.5 in.

Answers

Answer: b. 10.2 in.

Step-by-step explanation:

We know that the formula to calculate the length of arc is given by :-

$l=\theta* r$

Given : The central angle : $\theta=\pi$

The length of arc : $l=32\text{ inches}$

$\Rightarrow32=\pi* r\n\n\Rightarrow\ r=(32)/(\pi)=10.18591635\approx10.2\text{inches}$

Hence, the radius of the circle =10.2 inches.

Really really need help A six-sided number cube is rolled. Find the probability of rolling a 3 or a number greater than 4.

A.1/8
B.1/6
C.1/2
D.2/3

Answers

Well, there are 6 sides.

There are also 6 numbers: 1, 2, 3, 4, 5, 6

Okay, so the probability of rolling a 3 is 1/6 because that is just one number of the 6.

Okay, number greater than four are 5 and 6, and if you add 3 to that you get 3/6, or 3 out of 6 numbers.

If you simplify 3/6 you get 1/2.

Hope this helps!

There are 6 sides and numbers in the cube. (1,2,3,4,5,6)
Probability of rolling a 3 or a number greater than 4: there are 2 numbers greater than 4 (5 and 6) and one other number (3). In total, there are 3 numbers here.

So the probability of rolling 3 numbers out of 6 is 3/6, which can be simplified to 1/2.

Tyler needs at least $205 for a new video game system. He has already saves $30. He earns $7 an hour at his job. Write and solve an inequality to find how many hours he will need to work to buy the system. Interpret the solution.

Answers

amount needed=earned+already have
205=earned+30
earned=7 times number of hours=7h

205≤7h+30
we used the less than or equal to because he needs at least 205, means 205 or greater must be earned

205≤7h+30
minus 30 both sides
175≤7h
divide both sides by 7
25≤h
needs to work at least 25 hours

so, first, gather your important information:

"at least $205"
"already has $30"
"$7 per hour"

now rewrite this into numbers and symbols:

"at least $205" ... >/= 205 (his money MUST be over 205)
"already has $30" ... +30 (he's already saved 30, so add it)
"$7 per hour" ... 7h (he makes 7 an hour)

put all of those together.
7h + 30 >/= 205

this is your inequality. seven dollars an hour plus the thirty dollars he already saved must equal at least 205.

now, solve it for h:
7h + 30 >/= 205 ... subtract 30
7h >/= 175 ... divide by 7
h >/= 25

because your h variable stands for the hours worked, he must work at least 25 hours to have enough money to buy his new video game system.

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