Easy peasy
1.
d=number of dudes
l=number of ladies
total is 55 so
d+l=55
total cost is 75 so
2d+l=75
multiply first eeuqaiton by -1 and add to second
2d+l=75
<u>-d-l=-55 +</u>
d+0=20
d=20
sub
d+l=55
20+l=55
l=35
35 ladies
2.
ratio and proportion
$87 is to 8 as is $x is to 5
87/8=x/5
times both sides by 5
435/8=x
use calculator
54.375=x
round
$54.38 recieved
3.
around the edge
means perimiter
disregard how deep the pool is
60 feet long
x wide
P=2(L+W)
P=220
220=2(60+x)
divide 2
110=60+x
minus 60 both sides
50=x
it has to be 50 feet wide
4. monthly over 5 years
1 year=12 months
12 times 5=60 months
12381/60=206.35 per month
$206.35
5.
total-food-gas-utilities=left
1624-256-125-150=1093 left
you should be able to do this one no problem
$1093 let
1. 35 ladies
2. $54.38
3. 50 feet
4. $206.35
5. $1093
Solution :
Given that :
The radius of circle A = 6 cm
The radius of circle C = 4 cm
In circle A
The length of arc EF = 
= 14.653 cm
In circle C
The length of arc GH =
= 9.769 cm
Therefore,
The length of EF is 14.653 cm
The length of GH is 9.769 cm
The length of EF is 1.5 times the length of GH
i.e. 14.653 = 1.5 x 9.769
14.653 = 14.653
Hence proved.
Answer:
its A
Step-by-step explanation:
Answer:
b + 3 = 90
b = 87
the answer to the question
Step-by-step explanation:
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.
y = 7x - 4x²
<span>7x - 4x² = 0 </span>
<span>x(7 - 4x) = 0 </span>
<span>x = 0, 7/4 </span>
<span>Find the area of the bounded region... </span>
<span>A = ∫ 7x - 4x² dx |(0 to 7/4) </span>
<span>A = 7/2 x² - 4/3 x³ |(0 to 7/4) </span>
<span>A = 7/2(7/4)² - 4/3(7/4)³ - 0 = 3.573 </span>
<span>Half of this area is 1.786, now set up an integral that is equal to this area but bounded by the parabola and the line going through the origin... </span>
<span>y = mx + c </span>
<span>c = 0 since it goes through the origin </span>
<span>The point where the line intersects the parabola we shall call (a, b) </span>
<span>y = mx ===> b = m(a) </span>
<span>Slope = m = b/a </span>
<span>Now we need to integrate from 0 to a to find the area bounded by the parabola and the line... </span>
<span>1.786 = ∫ 7x - 4x² - (b/a)x dx |(0 to a) </span>
<span>1.786 = (7/2)x² - (4/3)x³ - (b/2a)x² |(0 to a) </span>
<span>1.786 = (7/2)a² - (4/3)a³ - (b/2a)a² - 0 </span>
<span>1.786 = (7/2)a² - (4/3)a³ - b(a/2) </span>
<span>Remember that (a, b) is also a point on the parabola so y = 7x - 4x² ==> b = 7a - 4a² </span>
<span>Substitute... </span>
<span>1.786 = (7/2)a² - (4/3)a³ - (7a - 4a²)(a/2) </span>
<span>1.786 = (7/2)a² - (4/3)a³ - (7/2)a² + 2a³ </span>
<span>(2/3)a³ = 1.786 </span>
<span>a = ∛[(3/2)(1.786)] </span>
<span>a = 1.39 </span>
<span>b = 7(1.39) - 4(1.39)² = 2.00 </span>
<span>Slope = m = b/a = 2.00 / 1.39 = 1.44</span>
