Answer:
A
Step-by-step explanation:
In the histogram described by the first option, the peak (18) is located at 40-50. Also, a frequency of zero is observed for range 10-20. The cluster from 20–50 means that most of the data is between this range, in fact, only 1 point is located at range 0 - 10, outside this cluster.
If seeds are 8 per pound then you need to find the unit rate and make a proportion with how much she spent. So you can make a ratio of 1(pound) / $8 compared to x(pounds) / $10. Then, cross-multiply.
10 = 8x. Divide both sides by 8
10/ 8 = x Simplify the fraction
1 1/4 = x
So, she bought 1 1/4 pounds of seeds
Answer:
a=223.57
c=181.43
Step-by-step explanation:
a=405-c
substitute for a in the equation :
12a+5c=3590
12(405-c)+5c=3590
4860-12c+5c=3590
-7c=3590-4860
-7c=-1270
c=1270/7=181.43
a=405-1270/7
a=1565/7=223.57
Answer:
From the given ratio for
we found the values are



Step-by-step explanation:
Given the ratio for 
We have to find the rest of trignometric functions:

can be written as

Comparing equations (1) and (2) we get


Equating the coressponding numerator and denominator respectively
Therefore
and
We can find 

(since
)

We can find 

(since
)

To find
:





9514 1404 393
Answer:
Step-by-step explanation:
Consecutive interior angles between parallel lines are supplementary.
Let's start with x.
(8x +40)° +(6x)° = 180°
14x +40 = 180 . . . . . . . . . divide by °, collect terms
14x = 140 . . . . . . . . . subtract 40
x = 10 . . . . . . . . divide by 14
__
We can use the same approach for y:
(7y)° +(3y -10)° = 180°
10y = 190 . . . . . . . . . . . divide by °, add 10, collect terms
y = 19 . . . . . . . . . . . divide by 10