The given fraction is:
![\frac{y+5}{2y+10}](https://tex.z-dn.net/?f=%20%5Cfrac%7By%2B5%7D%7B2y%2B10%7D%20)
We cannot take anything common from the numerator but from the denominator we can take out 2 as common because 2 is a factor of both the terms i.e. 2y and 10.
2y + 10 can be written as 2y +2(5) which can further be written as 2(y+5)
So, our fraction now becomes:
![\frac{y+5}{2(y+5)}](https://tex.z-dn.net/?f=%20%5Cfrac%7By%2B5%7D%7B2%28y%2B5%29%7D%20)
y+5 occurs in both the numerator and denominator and thus be cancelled out leaving behind:
Therefore, the given fraction in lowest term is equal to 1/2. So option B is the correct answer
Answer:
n=6/4
Step-by-step explanation:
-4(-6-2n)=30+8n
24+12n=30+8n
-24 =-24
12n=6+8n
-8n = -8n
4n=6
n=6/4
Answer:
28 beads were used to make the bracelet. 7 beads were not yellow.
Step-by-step explanation:
3/4 beads used to make the bracelet are yellow
If 21 beads are 3/4 of the bracelet and yellow
1/3 of the 21 beads would be 1/4 of the bracelet
7 beads are 1/3 of 21 beads
7 × 4 = 28 beads
Complete question :
Standardized tests: In a particular year, the mean score on the ACT test was 19.3 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 532 and the standard deviation was 128. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0/4 Part 1 of 4 (a) Find the z-score for an ACT score of 26. The Z-score for an ACT score of 26 is
Answer:
1.26
Step-by-step explanation:
Given that:
For ACT:
Mean score, m = 19.3
Standard deviation, s = 5.3
Zscore for ACT score of 26;
Using the Zscore formula :
(x - mean) / standard deviation
x = 26
Zscore :
(26 - 19.3) / 5.3
= 6.7 / 5.3
= 1.2641509
= 1.26