Let n = total number of babies born
Let n₁ = 34 be the number of boy babies born.
Let n₂ = number of girl babies born.
Therefore
n₁ + n₂ = n
34 + n₂ = n
n₂ = n - 34 is the numbe of girl babies born.
Because the 54% of babies born in the week were boys, therefore
34/n = 54%
or
34/n = 0.54
Multiply each side by n.
34 = 0.54n.
n = 34/0.54 = 62.96
We can only have countable number of babies, therefore
n = 63.
n₂ = n - 34
= 63 - 34
= 29
Answer: 29 girl babies were born in the week.
First term=a=-11
U1=a=-11
U3=a+2d=15
-11+2d=15
2d=26
d=13
2sin3x - (-11)=d
2sin3x=2
sin3x=1
sin(3x)=sin(90)
3x=90
x=30 degrees
Explanation:
Cost of 1 loaf of bread = $4
Cost of 1 roll = $1
The baker needs to sell both items and it should be worth $36.
To find the linear equation, Suppose, the baker sells "b" loaves of bread and "r" rolls.
Then the total cost of the sales has to be $36.
So, the linear equation will be:
4b + 1r = 36
Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{2 \frac{13}{24}}}}}}](https://tex.z-dn.net/?f=%20%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%5Cboxed%7B%20%5Csf%7B2%20%5Cfrac%7B13%7D%7B24%7D%7D%7D%7D%7D%7D%20)
Step-by-step explanation:
![\sf{5 \frac{5}{12} - 2 \frac{7}{8} }](https://tex.z-dn.net/?f=%20%5Csf%7B5%20%5Cfrac%7B5%7D%7B12%7D%20%20-%202%20%5Cfrac%7B7%7D%7B8%7D%20%7D)
Convert the mixed number into improper fraction
![\longrightarrow \sf{ \frac{5 \times 12 + 5}{12} - \frac{8 \times 2 + 7}{8}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%20%5Csf%7B%20%5Cfrac%7B5%20%5Ctimes%2012%20%2B%205%7D%7B12%7D%20%20-%20%20%5Cfrac%7B8%20%5Ctimes%202%20%2B%207%7D%7B8%7D%7D%20)
![\longrightarrow{ \sf{ \frac{60 + 5}{12} - \frac{16 + 7}{8} }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B60%20%2B%205%7D%7B12%7D%20%20-%20%20%5Cfrac%7B16%20%2B%207%7D%7B8%7D%20%7D%7D)
![\longrightarrow{ \sf{ \frac{65}{12} - \frac{23}{8}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B65%7D%7B12%7D%20-%20%20%5Cfrac%7B23%7D%7B8%7D%7D%7D%20%20)
Take the L.C.M of 12 and 8
To find out the L.C.M , first of all find the prime factors of each numbers.
12 = 2 × 2 × 3
8 = 2 × 2 × 2
Take out the common prime factors : 2 and 2
Also, take out the remaining prime factors: 3 and 2
Multiply those all prime factors and obtain L.C.M
= 2 × 2 × 3 × 2 = 24
L.C.M. of 12 and 8 = 24
![\longrightarrow{ \sf{ \frac{65 \times 2 - 23 \times 3}{24} }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B65%20%5Ctimes%202%20-%2023%20%5Ctimes%203%7D%7B24%7D%20%7D%7D)
![\longrightarrow{ \sf{ \frac{130 - 69}{24}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B130%20-%2069%7D%7B24%7D%7D%7D%20)
![\longrightarrow{ \sf{ \frac{61}{24}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B61%7D%7B24%7D%7D%7D%20)
Convert the improper fraction into mixed number
![\longrightarrow{ \sf{2 \frac{13}{24}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B2%20%5Cfrac%7B13%7D%7B24%7D%7D%7D%20)
Hope I helped!
Best regards! :D
Answer:
The answer is A
Step-by-step explanation:
10 divided by 5