1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nezavi [6.7K]
3 years ago
5

Suzette ran and biked for a total of 34 mi in 3.5 h. Her average running speed was 6 mph and her average biking speed was 12.5 m

ph. Let x = total hours Suzette ran. Let y = total hours Suzette biked. Use substitution to solve for x and y. Show your work. Check your solution. (a) How many hours did Suzette run? (b) How many hours did she bike?
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

Answer:

From the information given

x is time for which she ran at speed of 6mi/h and

y is time for which she biked at speed of 12.5 mi/h

total time = 3.5 h

total distance = 34 mi

so

6x + 12.5y = 34 and

x + y = 3.5

x = 3.5 - y

6 ( 3.5 - y) + y = 34

6.5y = 13 which gives

y = 2 and this

x = 1.5

so suze ran for 1.5 h and biked for 2 h

CHECK

speed of run X time of run + speed of biking x time of biking must be = total distance covered

6 × 1.5 + 12.5 × 2 = 9 + 25= 34 mi

which is true

You might be interested in
Write 16.76 correct to the nearest whole number​
emmasim [6.3K]
16.76 rounds off to 17
After the dot if it’s 1-4 then they it would’ve been 15
5-9 is 17
4 0
3 years ago
Read 2 more answers
In March for every 2 days it rained out of 5 days. A total of 30 days were calculated, How many days did it rain?
icang [17]

Answer:

37 days it rained for sure

4 0
3 years ago
If p(a|b) = 0.35, p(b) = 0.75 and p(a) = 0.44 are the events a and b independent ?
MatroZZZ [7]
Hello : 
note 1 : 
 p(A|B) = p(A∩B)/<span> p(B)

note 2 : 
</span> A and B independent: p(A∩B) = p(A)×p(B)
calculate : p(A∩B)
p(A∩B) = p(A|B)×p(B)
p(A∩B) = 0.35 ×0.75 = 0.2625
but :  p(A)×p(B) = 0.44×0.75 = 0.33
 conclusion : 
<span>the events A and B  are not  independent ?</span>
6 0
3 years ago
Juma earns $12.50 for each newspaper subscription he sells. He also earns a $50 base salary each week. If he wants to earn $400
garik1379 [7]

Answer: 400=12.50x+50

400-50=12.50x

350=12.50x

350÷12.50=x

28=x

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Make x the subject of the formula<br> y = (ax)2
katovenus [111]

Answer:

y = (ax)2

y = 2ax

divide both sides by 2a to make x the subject of the formula.

y/2a = 2ax/2a

x = y/ 2a

hope this was helpful,thanks

7 0
2 years ago
Other questions:
  • 400 British pounds is equivalent to 620 US dollars How many US dollars will you receive for 2 British pound?
    13·2 answers
  • Calculate the sum of the series:<br> π²/3!-π^4/5!+π^6/7!-π^8/9!+π^10/11!....
    7·1 answer
  • Tamara has 12 pencils. There are three red pencils and p other pencils. Write an equation to represent this situation.
    5·2 answers
  • Shannon Perfumeries sells two fragrances. The table contains the price corresponding to the number of bottles of fragrance A. Bo
    9·2 answers
  • Remy, from the blog "Rapping with Remy," asked his readers, "If you had the chance, would you want to be famous?" Of the 2,200 r
    14·2 answers
  • Farrah is painting vases to sell in a local craft show. She paints 8 vases in 2 hours. Which is a reasonable estimate of the amo
    7·2 answers
  • What conclusions can be made about the amount of money in each account if f represents Molly's account and g represents her brot
    7·1 answer
  • The density of zinc is 7130 kg/m3<br> .<br> (b) Work out the mass of 5 m3<br> of zinc.
    13·1 answer
  • In the diagram, the measure of the angle 8 is 124°, and the measure of angle 2 is 84°.
    12·1 answer
  • Of the students in the band, 1/6 play the flute and another 1/6 play the clarinet. What fraction of the students in the band pla
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!