7.
10% = 6
25% = 15
50% = 30
20% = 12
_____________________
8.
a = 35
b = 105
c = 140
____________________________
9.
15 is 30% of 50.
_____________________________
10.
The punch recipe contains 25% lemonade:
24/6 = x/100
x=1/4 x 100 = 25%
_____________________________
11.
520
multiply 650 by 80 amd then divide by 100
or simply multiply 650 by 0.8
to get 520 students.
_______________________________________
12.
Number of items checked = 300
Defective items = 3%
Number of defective items =
Number of defective items =
Number of defective items = 9
Number of items worked = Total items - Number of defective items
Number of items worked = 300 - 9 = 291
291 items of checked items worked.
b + p = 14 and 0.80 b + 2 p = 20.80 are the system of equations.
Step-by-step explanation:
Step 1 :
Let b be the number of bananas
Let p be the number of peaches
Given that the total of bananas and peaches that Emily bought = 14
Hence we have,
b + p = 14
Step 2 :
Cost of one banana = $0.80
Cost of one peach = $2
Cost of all the bananas and peaches Emily bought = $20.80
So sum of b bananas costing $0.80 and sum of p peaches costing $2 each is $20.80
Hence we have
0.80 b +2 p = 20.80
Solving for the above 2 equations we can get the value for b and p which will give the number of bananas and peaches bought
Step 3 :
Answer :
The system of equations that could be used to find the number of the bananas and the number of the peaches that Emily bought is given by
b + p = 14
0.80 b +2 p = 20.80
The standard form for the equation of a circle is :
(x−h)^2+(y−k)^2=r2 ----------- EQ(1)
where handk are the x and y coordinates of the center of the circle and r is the radius.
The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (7,-4)and(1,-10) is :
((7+(1))/2,(-4+(-10))/2)=(4,-7)
So the point (4,-7) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(7−(4))^2+(-4−(-7))^2=9+9=18
⇒r=√18
Subtituting h=4, k=-7 and r=√18 into EQ(1) gives :
(x-4)^2+(y+7)^2=18
Answer:
1. c 31.4 r 5 d 10
3. r 1.75 c 10.99 d 3.5
4. r 4 c 25.12 d 8
5. r 100 c 628 d 200
Step-by-step explanation:
d = 2(r)
c= (2)pi *r
Answer:
Step-by-step explanation:
Given
Required
Solve for w
In absolution functions;
So, the given expression can be rewritten as
Removing the absolute sign, will gibe
or 
When the second inequality os rewritten, it gives
or 
Reorder both inequalities
or
Lastly, both inequalities are combined
