Answer:
4 - pound bag of pears for $14.08
Step-by-step explanation:
To find out which is the better deal, we have to simplify it.
By dividing $14.08 by 4, this gives us the amount of $ each pound costs, which is $3.52.
Now let's find out the amount of $ each pound costs for the 94- ounce bag of pears for $22.56.
First, we need to convert from ounces (oz) to pounds (lbs).
There are 16 ounces in one pound, and we have 94 ounces. So, 94/16 = 5.875 pounds. So there are 5.875 lbs in the $22.56 bag. Now we need to find the amount of $ each pound costs. So we divide $22.56 by 5.875 and we get $3.84.
$3.52 < $3.84 (this is the amount of money each pound of pears cost for each bag). The first bag is cheaper per pound, so they should buy the first one (which is the 4 pound bag btw).
Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
Answer:
x= (y+40)-(y-330)
Step-by-step explanation:
According to the information provided, the difference in their scores would be the result of subtracting Austin's SAT score from Alexandra's SAT score.
Then, as Alexandra's SAT score was 40 points above the average score this means that you have to add 40 to the average score to get her result. Also, as Austin's SAT score was 330 points below the average score, this means that you have to subtract 330 from the average score. With this you can write the expression:
x= difference in their scores
y= average score
x= (y+40)-(y-330)
Answer:

Step-by-step explanation:
We want to combine alike terms so
-2/3c+14c & -9/5+3/10
14c-2/3

Multiply 14/1 by 3/3 to get the denominators the same

Subtract

simplify

now

Multiply 9/5 by 2/2

Subtract

Simplify

put both together

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!