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3 years ago

Peter drives his van a distance of 54 km. He leaves the depot at 10:55 and arrives back at 12:38. Calculate his average speed

Mathematics

1 answer:

OLga [1]3 years ago

5 0

Answer:

31.46 km/hr to the nearest 100th

Step-by-step explanation:

10:55 to 11:00 is 5 min

11:00 to 12:00 is 60 min

12:00 to 12:38 is 38 min

That's 5 + 60 + 38 = 103 min = 103/60 hr. = t

d = rt

54 = 103/60(r)

r = 54(60)/103 =31.46 km/hr to the nearest 100th

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Solve y=3x-7 and 4x+3y=18 by substitution

Schach [20]

Answer:

x = 3

y = 2

Step-by-step explanation:

4x + 3(3x - 7) = 18 Substitute y

4x + 9x - 21 = 18 Simply

13x - 21 = 18 Add like terms

13x = 39 Add 21

x = 3 Divide by 13

y = 3(3) - 7 Substitute x

y = 9 - 7 Simply

y = 2 Subtract

Let's check:

4(3) + 3(2) = 18

12 + 6 = 18

18 = 18

It works!

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3 years ago

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Which of the following is the explicit rule for the sequence -3, 5, 13, 21 ... *

TiliK225 [7]

Answer:

$a_{n}$ = 8n - 11

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

5 - (- 3) = 13 - 5 = 21 - 13 = 8

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 8 , thus

$a_{n}$ = - 3 + 8(n - 1) = - 3 + 8n - 8 = 8n - 11 ← note this is the second option, that is

f(n) = - 3 + 8(n - 1)

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3 years ago

Please help if you know the answer

dimulka [17.4K]

Answer:

I think that the answer is 10

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2 years ago

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You currently have a balance of $712.35 in your bank account. To avoid paying a monthly fee, you must maintain a minimum balance

vampirchik [111]

Answer:

hi i will help you with this

Step-by-step explanation:

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3 years ago

<img src="https://tex.z-dn.net/?f=2x%20%2B%20%5Cfrac%7B5%7D%7B8%7D%20%3D%203x%20-%20%5Cfrac%7B5%7D%7B8%7D" id="TexFormula1" titl

Whitepunk [10]

Answer:

$x=\frac{5}{4}$

Step-by-step explanation:

$2x+\frac{5}{8}=3x-\frac{5}{8}$

Subtract 5/8 from both sides:-

$2x+\frac{5}{8}-\frac{5}{8}=3x-\frac{5}{8}-\frac{5}{8}$

$2x+\frac{5}{8}-\frac{5}{8}$

Add like terms:-

$\frac{5}{8}-\frac{5}{8}=0$

$=2x$

$3x-\frac{5}{8}-\frac{5}{8}$

Rule:- $\frac{a}{c} \pm \frac{b}{c}=\frac{a \pm b}{c}$

$\frac{-5-5}{8}$

Subtract, $-5-5=-10$

$=\frac{-10}{8}$

Cancel common factor: 2

$=-\frac{5}{4}$

$=3x-\frac{5}{4}$

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$2x=3x-\frac{5}{4}$

Now, subtract 3x from both sides:-

$2x-3x=3x-\frac{5}{4}-3x$

$-x=-\frac{5}{4}$

Divide both sides by -1:-

$\frac{-x}{-1}=\frac{-\frac{5}{4}}{-1}$

$x=\frac{5}{4}$

OAmalOHopeO

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2 years ago

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