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Mashcka [7]
3 years ago
10

Beth and Billy are biking to their friend Bernie's house. After 1 mile, Beth and Billy have traveled 4/5 of the total distance t

o Bernie's house.How much farther do Beth and Billy have to go in order to arrive at Bernie's?
Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Answer: they need to cover 0.25 miles.

Step-by-step explanation:

Let x represent the total distance that they have to cover to get to Bernie's house.

Beth and Billy are biking to their friend Bernie's house and after 1 mile, Beth and Billy have traveled 4/5 of the total distance to Bernie's house. This would be expressed as

4.5 × x = 1

4x/5 = 1

Multiplying the left hand side and the right hand side of the equation by 5, it becomes

4x/5 × 5 = 1 × 5

4x = 5

Dividing the left hand side and the right hand side of the equation by 4, it becomes

4x/4 = 5/4

x = 1.25

Therefore, the remaining distance that they need to cover to arrive at Bernie's is

1.25 - 1 = 0.25 miles

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8 0
3 years ago
Bill wanted to try out different water craft he went 62 mikes downstream in a motor boat and 27 mikes down stream on a jest ski
valina [46]

Answer:

The speed on motorboat is 20 mph

Step-by-step explanation:

here, we want to find the speed on the motorboat

if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph

The total hours is 4 hours

Mathematically; speed = distance/time

Time on ski is 27/x+ 10

Time on motor boat is 62/x

The addition of both is 4

Thus;

27/(x + 10) + 62/x = 4

27(x) + 62(x + 10) = 4(x)(x + 10)

27x + 62x + 620 = 4(x^2 + 10x)

89x + 620 = 4x^2 + 40x

4x^2 -49x-620 = 0

using the quadratic formula;

{-b ± √(b^2-4ac)}/2a

where a = 4, b = -49 and c = -620

= 49 ± √(-49)^2-4(4)(-620)/8

So we have

49+ 111/8 or 49-111/8

Speed cannot be negative

(49 + 111)/8

= 20 mph

3 0
3 years ago
If a+1,2a+1,4a-1 are in A.P, then the value of a is
Digiron [165]

Answer:

a = 2

Step-by-step explanation:

In an AP  the difference between consecutive terms is common (equal), thus

t₂ - t₁ = t₃ - t₂ , that is

2a + 1 - (a + 1) = 4a - 1 - (2a + 1) ← distribute and simplify both sides

2a + 1 - a - 1 = 4a - 1 - 2a - 1

a = 2a - 2 ( subtract 2a from both sides )

- a = - 2 ( multiply both sides by - 1 )

a = 2

6 0
3 years ago
N - 9.02 = 3.87<br> what is (n)?
Nadya [2.5K]

Answer:

n = 12.89

Step-by-step explanation:

Add 9.02 + 3.87

7 0
3 years ago
Please someone help me!! Look at picture. Also write as it expression.
Fynjy0 [20]

Answer:hi there!that same guy did that w my question too :( i’m reporting his answers. i will help u out tho ahah. the answer is 470(32-n). i hope this helps :). have a good dayyy

Step-by-step explanation:

6 0
3 years ago
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