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Marat540 [252]
2 years ago
6

James is earning money to buy a bicycle for $100. For each dollar James earns, his mother gives him $1. So far he has earned $14

mowing lawns and $7 wash cars. How much more must James earn in order to but the bike??
Mathematics
2 answers:
Lady_Fox [76]2 years ago
4 0

Answer:

$58

Step-by-step explanation:

$14*2=$28 as her mum gives another dollar for each dollar he earns

$7*2=$14  as her mum gives another dollar for each dollar he earns

then 28 + 14 = 42

100 - 42=$58

Norma-Jean [14]2 years ago
3 0

Answer:

James needs to earn 78 more dollars.

Step-by-step explanation:

If you add up all of the money James has earned, (1 + 7 + 14), it equals 22. If you subtract 22 from 100, it equals 78. Therefore James needs to earn 78 more dollars.

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A wire with a length of 100 cm is cut into three parts. The length of wire of the first and second parts are the same. The lengt
dsp73

The first two pieces are the same, let each of those equal x, so you have x + x = 2x

The 3rd piece is the sum of the first two + 4, so this would be 2x + 4

Now you have 2x + 2x + 4 = 100 cm

Combine like terms:

4x +4 = 100

Subtract 4 from both sides

4x = 96

Divide both sides by 4

X = 24

First piece is 24 cm

Second piece is 24 cm

Third piece is 52 cm

8 0
3 years ago
Consider the continuous random variable x, which has a uniform distribution over the interval from 110 to 150. The probability t
Virty [35]

Answer:

The probability that x will take on a value between 120 and 125 is 0.14145

Step-by-step explanation:

For uniform distribution between a & b

Mean, xbar = (a + b)/2

Standard deviation, σ = √((b-a)²/12)

For 110 and 150,

Mean, xbar = (150 + 110)/2 = 130

Standard deviation, σ = √((150-110)²/12 = 11.55

To find the probability that x will take on a value between 120 and 125

We need to standardize 120 & 125

z = (x - xbar)/σ = (120 - 130)/11.55 = - 0.87

z = (x - xbar)/σ = (125 - 130)/11.55 = - 0.43

P(120 < x < 125) = P(-0.87 < x < -0.43)

We'll use data from the normal probability table for these probabilities

P(120 < x < 125) = P(-0.87 < x < -0.43) = P(z ≤ -0.43) - P(z ≤ -0.86) = 0.33360 - 0.19215 = 0.14145

Hope this Helps!!!

3 0
3 years ago
The perimeter of a triangle is not greater than 12 and the lengths of sides are natural numbers.
weqwewe [10]

Answer:

3 triangles

Step-by-step explanation:

Perimeter of triangle = a + b + c

Given that :

P = 12

and a, b, c are natural numbers

Let :

Side A = a

Side B = b

Side C = 12 - (a + b)

Side A + side B > side C - - - (condition 1)

a + b > 12 - (a + b)

a + b > 12 - a - b

a + a + b + b > 12

2a + 2b > 12

2(a + b) > 12

a + b > 6

Side A - side B < side C

a - b < 12 - (a + b)

a - b + a + b < 12

2a < 12

a < 6

b < 6 (arbitrary point)

Going by the Constraint above :

The only three possibilities are :

(2, 5, 5)

(3, 4, 5)

(4, 4, 4)

Total number of triangle = 3

Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1

Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1

3 0
3 years ago
If 3 is added to twice a number, the result is 17. Find the number
Crank

Answer:

7

Step-by-step explanation:

The text of this expression is:

"If 3 is added to twice a number, the result is 17. Find the number"

Let's call x the number we want to find.

Twice the number is equal to

2x

So, if we add 3 to 2x, we get

3+2x

And we know that this is equal to 17:

3+2x=17

Now we can solve the equation to find x: first, we subtract 3 from both sides

3+2x-3=17-3\\2x=14

Now we divide both sides by 2:

\frac{2x}{2}=\frac{14}{2}\\x=7

7 0
3 years ago
Write the equation for a line that goes through the points (0,7) and (9, 2)
mart [117]

Answer:

the answer is y=-0.556·x+7

6 0
3 years ago
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