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3 years ago

Which ordered pair is a solution of the equation?

Mathematics

1 answer:

Savatey [412]3 years ago

7 0

Answer:

Neither

Step-by-step explanation:

Of y=3x+5y

a) (11)=3(2)+5(11) which is incorrect

b) (13)=3(3)+5(13) which is also incorrect

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Which numbers should go in the shaded overlap? <br> Factors of 30<br> Factors of 20

babymother [125]

Both of these numbers have 2 and 5 as their factors

5 0

3 years ago

sally is on a scavenger hunt. a clue tells her to walk 100 steps due south from the starting point and then walk west when she g

Sophie [7]

Answer:

She should take 112 steps west

Step-by-step explanation:

* Lets explain the relation between the four directions

- North and South on the same line by in opposite directions

- East and West on the same line by in opposite directions

- East and West are perpendicular to the North and South

* Now lets study the situation i the problem

- Sally 100 steps due to South from the starting point

- Then she walk West when she gets the next clue

- The distance between her starting point and ending point is 150 steps

∵ The South is perpendicular to the West

- Lets consider her trip is a right angle triangle ABC, where AB

her steps South and BC her steps West and AC the distance

between her starting point and ending point

∵ AB = 100

∵ AC = 150

∵ m∠B = 90°

- By using Pythagoras theorem

∵ BC = √(AC² - AB²)

∴ BC = √(150² - 100²) = 50√5 = 111.8 steps

* She should take 112 steps west

8 0

3 years ago

A typical marathon is 26.2 miles. Allan averages 12 kilometers per hour when running in marathons. Determine how long it would t

Natali [406]

Answer:

The time taken by Allan to complete the marathon 3.5 hours

Step-by-step explanation:

Given as :

The distance cover in marathon = d = 26.2 miles

∵ 1 mile = 1.609 km

So, d = 26.2 × 1.609 km

i.e d = 42.155 kilo meter

The average speed of Allan = s = 12 km per hour

Let the time taken by Allan to complete the marathon = t hours

Now, ∵ Time = $\dfrac{\textrm Distance}{\textrm Speed}$

Or, t = $\dfrac{\textrm d}{\textrm s}$

Or, t = $\dfrac{\textrm 42.155 km}{\textrm 12 kmph}$

or, t = 3.512 hours

So , The time taken by Allan to complete the marathon = t = 3.5 hours

Hence, The time taken by Allan to complete the marathon 3.5 hours Answer

4 0

3 years ago

Noelle and karina both leave the Internet cafe at the same time, but in opposite directions. If karina travels 9 mph faster than

Vesna [10]

Noelle goes east at N mph.
Karina travels west at N + 9
then their velocity between them is (N + N + 9)
After 8 hours they travel 8(2N + 9) = 232
(2N + 9) = 29
2N = 20
N = 10 mph for Noelle
N+9=19 mph for Karina

7 0

3 years ago

Mila is going to invest in an account paying an interest rate of 2.5% compounded

Anarel [89]

Answer:

15400

Step-by-step explanation:

3 0

3 years ago

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