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iogann1982 [59]
3 years ago
14

Hi can someone please answer this question? Thank you :)

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
6 0
3/2
You go up 3 and to the right 2
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WILL GIVE BRAINLIEST
Svetllana [295]
Steam boat (b) = speed of 36.8km/h. In 1.75 hours out same port and going same direction departed speed boat (s). In 1.8 hours later distance between the speed boat (s) and steam boat (b) was 86.9km

Scenario A) the steam boat (b) stays ahead of the speed boat (s)
-----------------------------------
Start by first finding the total distance (d) that the steam boat (b) traveled. That would be 1.75+1.8 = 3.55 hrs
distance (d) = rate (r) × time (t)
d(s) = rt = (36.8km/h)(3.55h) = 130.64 km
Secondly, let's subtract from d the distance between b and speed boat (s):
d(s) = 130.64 - 86.9km = 43.74 km
Thirdly, since s traveled 43.74 km and left 1.8 hrs ago, let's set-up the rate of b [r(b)] equal to that distance [d(s)] divided by the time 1.8 hrs.
**Since d = rt, r = d/t
r(s) = d(s)/t = 43.74km/1.8h = 24.3km/h

Scenario B) the speed boat (s) moves ahead of the steam boat (b), this is more likely!!
-------------------------------------
b moves before s starts for 1.75 hrs, going 36.8km/h, that distance ahead + distance it travels after the next 1.8 hrs = 130.64 km
Now s starts and travels d(s) km at r(s) km/h
If s speeds past b in 1.8 hrs, and is AHEAD by the given distance of 86.9km, then total distance of s [d(s)] = the 130.64 b traveled PLUS the 86.9 it is now ahead
d(s) = 130.64+86.9 = 217.54 km
s still only traveled that in 1.8 hrs, so the speed/rate of s is:
r(s) = d(s)/t = 217.54km/1.8h = 120.86km/h

** I think that makes more sense, that a speed boat would move MUCH faster than a steam boat, if 120.9... than over 3 times faster!!
3 0
3 years ago
Read 2 more answers
What is the distance between the points R (5,7) and S (-2,3) 1: 25 2:33 3:55 or 4:65
Shtirlitz [24]
d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}
d = \sqrt{(-2 - 5)^{2} + (3 - 7)^{2}}
d = \sqrt{(-7)^{2} + (-4)^{2}}
d = \sqrt{49 + 16}
d = \sqrt{65}

The answer is 4, √(65).
6 0
3 years ago
Two Bonds funds pay interest at rates that differ by 1%. Money invested for one year and the first fund earns $280 interest. The
Akimi4 [234]
First one is 2.8
Second one is 3.15
So it’s first one
7 0
4 years ago
The average annual salary for a teacher nationally is $58,353. This is projected to increase 2% per year for the next 4 years. W
mario62 [17]

Answer:

\$63,163.16

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

y=a(1+r)^x

where

y is the average annual salary

x is the number of years

r is the rate of change

a is the initial value

In this problem we have

a=58,353\\r=2\%=2/100=0.02

substitute

y=58,353(1+0.02)^x

y=58,353(1.02)^x

For x=4 years

y=58,353(1.02)^4=\$63,163.16

4 0
4 years ago
F÷−32=−31<br><br> whats the answer?
Archy [21]

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "/-32" was replaced by "/(-32)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

f/(-32)-(-31)=0

Step by step solution :

STEP

1

:

f

Simplify ———

-32

Equation at the end of step

1

:

f

——— - -31 = 0

-32

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using -32 as the denominator :

-31 -31 • -32

-31 = ——— = —————————

1 -32

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

f • -1 - (-31 • 32) 992 - f

——————————————————— = ———————

32 32

Equation at the end of step

2

:

992 - f

——————— = 0

32

STEP

3

:

When a fraction equals zero

3.1 When a fraction equals zero

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

992-f

————— • 32 = 0 • 32

32

Now, on the left hand side, the 32 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

992-f = 0

Solving a Single Variable Equation:

3.2 Solve : -f+992 = 0

Subtract 992 from both sides of the equation :

-f = -992

Multiply both sides of the equation by (-1) :

f = 992

the answer is f = 992

8 0
3 years ago
Read 2 more answers
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