sonya can walk 12 kilometers in 4 hours. If she has to walk 15 kilometers, how much time will it take her?

Answers

Answer 1
Answer: First, We Should Find The Unit Rate...
12 kilometers
------------------
    4 hours
We Need To Simplify. 12/4 Can Be Simplified To 3/1. So, 3 kilometers/1 hour is the unit rate. Now, We Need To Change It To 15/X. 
15       3
----  = ----
 X        1
Solve For X. To Solve, Multiply Means And Extremes. The Equation Becomes: 
3X = 15*1.
Simplify.
3x = 15.
Now, Divide Both Sides By 3.
X = 15/3.
15/3 = 5. 
X = 5.
So, Sonya Can Walk 15 Kilometers In 5 Hours. :D

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In 79 CE, a volcano erupted near Pompeii. Within a day, the city was buried under nine feet of ash. How many inches of ash buried the city? One foot is the same as 12 inches.

Answers

You just do 12 * 9 and get 108 inches

In a survey, 9 out of 15 students named math as their favorite class.express this rate as a decimal

Answers

Answer: In decimal , it will be expressed as 0.6 .

Step-by-step explanation:

Since we have given that

Total number of students = 15

Number of students names as their favourite class = 9

First we write as a fraction, which is given by

(9)/(15)\n\n=(3)/(5)

Now , we will change it into decimal form using division, so it will be given by

0.6

Hence, our answer is 0.6.




9/15  reduced to 3/5  which is 0.6

Julie takes her dog on long walks.It takes them 1/4 of an hour to walk 2/3 of a mile.How far will they have walked after 1.5 hours?

Answers

A quarter of an hour is 15 minutes. An hour and a half is 90 minutes. To get from 15 to 90 you multiply 15 by 6. You then multiply 2/3 by 6. 12/3, which is then simplified to 4 miles. The answer is 4 miles. 

75= 3(5-5x) solve for x and do the check?

Answers

x = -4

75 = 3(5-5x)
75 = 3(5) - 3(5x)
75 = 15 - 15x
75 - 15 = -15x
60 = -15x
60/-15 = -15x / -15
x = -4

To check:
75 = 3(5-5(-4))
75 = 3(5+20)
75 = 3(25)
75 = 75
♡Let's solve this equation Step-By-Step and Easy-Peasy!♡
♡Here is the question you asked:
75= 3(5-5x)

♡Now simplify both sides of the equation:
Here is how to simplify it:
Distribute: 75=(3)(5)+(3)(−5x)
75=15+−15x
75=−15x+15

♡Now flip the equation:
−15x+15=75

♡Now that we have flipped the equation now you have to subtract 15 from both sides:
−15x+1515=75−15
−15x=60

♡Now divide both sides by -15:
−15x/−15=60/15

♡Your answer is:
x=4

♡Now we need to check so:
75 = 3(5-5(-4))
♡Then:
75 = 3(5+20)
♡Now:
75 = 3(25)
Final: 
75 = 75


♡I hope this helps!♡

at Alan's sports shop, GO FAST trainers cost £40.95 originally and there is a third off in the sale.  At  Irene's sport shop, GO FAST trainers cost £40.00 originally and there is a discount of 30% in the sale. Which trainers cost less in the sales?

Answers

the trainers will be cheaper at Alan's sport shop.

prices ->
Alan's: 27.30
Irene's: 28.00

(1)/(3) of 40.95 can be calculated as follows ->

(1)/(3)(x)/(40.95)
simplify to get that x = 27.30

30% of 40.00 can be calculated as follows ->

(30)/(100)(x)/(40.00)
simplify to get that x = 28
at\ Alan's\ sports\ shop:\n\£40.95- (1)/(3) \cdot\£40.95= (2)/(3) \cdot\£40.95=\£27.30\n \nAt\ Irene's\ sport\ shop:\n\£40.00-30\%\cdot \£40.00=70\%\cdot \£40.00=0.70\cdot \£40.00=\£28.00\n \nAns.\ Less\ cost\ is\ at\ Alan's\ sports\ shop.

Triangles PQR and STU are similar.What's the length of ST

A.
24 m

B.
20 m

C.
14 m

D.
12 m

Answers

C.
14 m it is reasonable and you gave work that explained the quotient