Answer:
1 2/3 * 3 1/2 = 35/
6
= 5 5/
6
≅ 5.8333333
Step-by-step explanation:
Conversion a mixed number 1 2/
3
to a improper fraction: 1 2/3 = 1 2/
3
= 1 · 3 + 2/
3
= 3 + 2/
3
= 5/
3
To find new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/
3
= 3/
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Conversion a mixed number 3 1/
2
to a improper fraction: 3 1/2 = 3 1/
2
= 3 · 2 + 1/
2
= 6 + 1/
2
= 7/
2
To find new numerator:
a) Multiply the whole number 3 by the denominator 2. Whole number 3 equally 3 * 2/
2
= 6/
2
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 2.
Three and one half is seven halfs
Multiple: 5/
3
* 7/
2
= 5 · 7/
3 · 2
= 35/
6
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(35, 6) = 1. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - five thirds multiplied by seven halfs = thirty-five sixths.
Given:
Sprayer and generator
1st Job: 6 hours each for a total of $90
2nd Job: 4 hours sprayer and 8 hours generator for a total of $100
Let x = spayer ; y = generator
6x + 6y = 90
4x + 8y = 100
6x = 90 - 6y
x = 90/6 - 6y/6
x = 15 - y
4x + 8y = 100
4(15-y) + 8y = 100
60 - 4y + 8y = 100
4y = 100 - 60
4y = 40
y = 40/4
y = 10
x = 15 - y
x = 15 - 10
x = 5
Sprayer = 5 per hour ; generator = 10 per hour
To check:
6x + 6y = 90
6(5) + 6(10) = 90
30 + 60 = 90
90 = 90
<span>4x + 8y = 100
</span>4(5) + 8(10) = 100
20 + 80 = 100
100 = 100
Using the probability and odds concepts, it is found that the odds against it containing a number greater than or equal to 7 is 
.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- An odd is the <u>number of desired outcomes divided by the number of non-desired outcomes</u>.
In the rack, there are 15 balls, numbered from 1 to 15. Of those, <u>6 are less than 7</u>(against it containing a number greater than or equal to 7 is equivalent to it containing a number less than 7), thus:
- There are 6 desired outcomes.
- There are 9 non-desired outcomes.
The odd is:
The odds against it containing a number greater than or equal to 7 is .
A similar problem is given at brainly.com/question/21094006
Answer:
C.because i calculate it d is the correct answer
Step-by-step explanation:
Answer:
239
Step-by-step explanation:
Write the equation. Fill in the given values, and solve for the unknown,
z = k√x
717 = k√9
k = 717/3 = 239
The constant of proportionality is 239.
