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2 years ago

When using substitution to solve this system of equations

Mathematics

1 answer:

dlinn [17]2 years ago

3 0

Hello, find the work out in the attached image
X = 4.5
Y = -1

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pls solve quickly!: It took a boat 2 hours to reach town A going upstream. The way back was 1h20 min. What is the speed of the b

goldenfox [79]

Answer:

15 mph

Step-by-step explanation:

Given: Boat took 2 hours to reach Town A going upstream.

Speed of stream= 3 mph

Time taken to reach back home= 1 hours 20 minutes

Lets assume distance covered one side be "d" and speed of boat in still water be "s".

∴ Speed of boat in upstream= $(s-3) \ mph$

Speed of boat in downstream= $(s+3)\ mph$

Also converting into fraction of time taken to reach back home.

Remember; 1 hour= 60 minutes

∴ Time taken to reach back home= $60+20= 80\ minutes$

Converting time given into fraction= $\frac{80\ minutes}{60\ minutes} = \frac{4}{3} \ hours$

hence, Time taken to reach back home is $\frac{4}{3} \ hours$

Now forming equation of boat travelling upstream and downstream, considering distance remain constant.

We know, $Distance= speed \times time$

⇒ $(s-3)\times 2= (s+3)\times \frac{4}{3}$

Using distributive property of multiplication

⇒ $2s-6= \frac{4}{3}s +4$

subtracting both side by $\frac{4}{3} s$

⇒ $2s-\frac{4}{3} s-6= 4$

Adding both side by 6

⇒ $2s-\frac{4}{3} s= 10$

taking LCD as 3

⇒ $\frac{2}{3} s= 10$

Multiplying both side by $\frac{3}{2}$

⇒ $s= \frac{3}{2} \times 10$

∴s= 15 mph

Hence, 15 mph is the speed of the boat in still water.

8 0

3 years ago

Which of the following describes the correct process for solving the equation 3x + 6 = 21 and arrives at the correct solution? (

Alja [10]

Answer:

Step-by-step explanation:

3x+6=21

-6+21= 15

15÷3=5

7 0

3 years ago

2. Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She

kolezko [41]

Answer:

you find the gcf/ greatest common factor of both numbers which is 6, so 6 plastic containers

Step-by-step explanation:

4 0

3 years ago

Two angles are supplementary to each other. If the first angle measures 58 then which of the following could be the measure of t

34kurt

Answer: 122°

Step-by-step explanation:

When an angle is supplementary to each other , it means the angle measures to 180°.

Now since one of the two angles is 58°, therefore, the other angle will be

180° - 58°

= 122°

6 0

3 years ago

In a school with 117 seventh-grade students and about 29 students per class, the number of seventh-grade classes is about

notka56 [123]

Answer - 4 classes

117 ÷ 29 = 4.03...

That is the answer. hope this helps.

5 0

3 years ago

Read 2 more answers