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
denis23 [38]
3 years ago
14

Stephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56

Mathematics
2 answers:
Deffense [45]3 years ago
8 0

Answer:

2.5

Step-by-step explanation:

56(t+1/2)=70 t

56T + 28= 70T

28=70T-56T

28=14

2=T

s=T+ 1/2

S=2+ 1/2

S=2.5 hours

bija089 [108]3 years ago
5 0

"Stephanie left riverside, California, driving her motorhome north on interstate 15 towards Salt Lake City at a speed of 56 miles per hour. Half an hour later , tina left riverside in her car on the same route as Stephanie , driving 70 miles per hour. Solve the system.

{56s=70t  

{s=t+1/2

for t to find the value of s, the number of hours Stephanie will have driven before Tina catches up to her. "

<h3><u>Answer:</u></h3>

On solving the system, we get t = 2 and s = 2.5

The number of hours Stephanie will have driven before Tina catches up to her is 2.5 hours

<h3><u>Solution:</u></h3>

According to question,

Stephanie is driving at speed of 56 miles per hour

Half an hour later, tina started driving 70 miles per hour

The relation between speed and distance is:

Distance = speed \times time

So, the extra distance travelled by Stephanie is:

\text { Distance }=56 \times \frac{1}{2}=28 \text { mile }

According to question, the time that both Stephanie and Tina travel is the same, so we only need one variable for time "t "

Distance Travelled by Stephanie (d) + 28miles = Distance Travelled by Tina (D)

d + 28 = D

We already know that Distance = speed \times time

(56 \times t)+28=(70 \times t)

56t + 28 = 70t

70t – 56t = 28

14t = 28

t = 2

Given that "s" represents the number of hours Stephanie will have driven before Tina catches up to her.

Now, its given that s = t + \frac{1}{2}

So, s = 2 + \frac{1}{2}\\\\s = \frac{5}{2}\\\\s = 2.5

So the number of hours Stephanie will have driven before Tina catches up to her is 2.5 hours

You might be interested in
Solve for x. Show each step of the solution. 4.5(4 − x ) + 36 = 202 − 2.5(3x + 28)
Marrrta [24]

Answer:

sgsrgrsdg

Step-by-step explanation:


6 0
3 years ago
(NO BOTS OR LINKS)
nlexa [21]

Answer:

D) division

Step-by-step explanation:

we know that  a ratio is a quantitative relation between two numbers

so let's say

the ratio of boys to girls is 3:4

we know that for every 3 boys there are 4 girls

therefore it is a division operation

7 0
2 years ago
Read 2 more answers
A case of 24 pairs of the same kind of sport shoes cost a little more than $800. Explain whether $28 per pair with tax invluded
garik1379 [7]

Answer:

It is a good estimate for  the shoes because 800 divided by 24 is

800 divided by 24 is 33.33. so $28 per pair plus tax is better than 33.33 plus tax.

7 0
3 years ago
Read 2 more answers
How Can you split 10 waffles between seven people
nordsb [41]
1.4286 :D :D :D :D hope this helps
8 0
3 years ago
Read 2 more answers
What is 50 + 100 - 150 x 2
Black_prince [1.1K]

Answer:150

Step-by-step explanation:50 + 100=150 150 - 300=150

8 0
3 years ago
Read 2 more answers
Other questions:
  • Look at this set of 8 numbers:33769234 how would the range change if the number 6 replaced the number 7 in the set
    6·1 answer
  • Which expression should Jenna use in the process
    7·1 answer
  • A bag contains 40 marble 12 red and 16 yellow what is the probability that a blue is randomly seclected
    14·1 answer
  • Ethan went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 45 grams of sugar and e
    9·1 answer
  • How did the mongols defeat 75,00 russians if they only has about 25,00 soldiers?
    6·1 answer
  • 428 is greater to or less or equal to 3 hundred 12 tens 8 ones
    14·1 answer
  • PLZZZ HELP WITH GEOMETRY ;(
    11·2 answers
  • Hey guys im back with some new math content help plz
    6·1 answer
  • Is it possible for something logical to not make sense
    5·2 answers
  • If f(x)=4x-x^2 find f(x+h)-f(x+h)/2h
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!