The prime factorization of the numerator, 315, is 5 x 3 x 3 x 7. That of the denominator, 1575 is 5 x 5 x 3 x 3 x 7. To convert the fraction to its lowest form, cancel all the factors that appear to both the numerator and denominator. We will be left with 1/5.
Answer:
x = 24
Step-by-step explanation:
x +
x = 36
Make the denominator the same by multiplying the first fraction by 2 to make both denominators 6.
x +
x = 36
Now we can calculate the numerators and keep the denominators the same.
x = 36
Find x.
x =
× 36
x = 24
Answer: –4rx –15x^2 + 8r + 26x
Step by step:
= 2x + −15x^2 + 24x + −4rx +8r
= (−4rx) + (–15x^2) + (8r) + (2x+ 24x)
= –4rx + –15x^2 + 8r + 26x
Answer: neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1
Step-by-step explanation:
<em>Areas under the graphs:</em>
<em />
<u>Graph A</u>
<u />
<u>Graph B</u>
<u />
As neither of these graphs have an area of 1, neither of them are density curves.
Answer:
60 boys are in the grade.
Step-by-step explanation: Since there are 150 students, we can divide that number by the combined ratio, which in this case is 5. Dividing 150 by 5 would yield 30 students. We can use this information to multiply the given number of boys in the ratio by 30, which would produce 60.