Answer:
If there is "p" pounds of peanuts and "m" pounds of '20% peanuts and 80% almonds' mixture, then, we can get the following equations,
p + m = 10 -----------(1) and
4m/5 = 4 ------------(2)
whose solution is 5 lb peanuts and 5 lb mixture.
Step-by-step explanation:
In the mixture which Delaney wants to make there would be
lb
= 6 lb of peanuts
So, there will be (10 - 6) lb
= 4 lb of almonds
If Delaney has "p" pounds of peanuts and "m" pounds of the '20% peanuts and 80% almonds' mixture, then according to the question,
p + m = 10 -----------(1) and
4m/5 = 4 ------------(2)
So, from (2),
m = 5 --------------(3)
So, from (1) and (3) ,
p = (10 - 5) = 5
Answers:
(a) Area: 2108 in² Perimeter: 192 in
(b) Area
(c) perimeter
Step-by-step explanation:
To find the area, you do 34 × 62
To find the perimeter you do 34 + 34 + 62 + 62
Answer:
The length of the shorter base of the little trapezoid trail is 1 mi.
Step-by-step explanation:
Let the shorter base of the large trapezoid is S and the larger base of the large trapezoid is L.
Similarly, assume that the shorter base of the small trapezoid is s and the larger base of the small trapezoid is l.
Since, the trapezoids are similar, so

Now, given that S = 2 mi, L = 8 mi and l = 4 mi and we have to find s.
So,
mi. (Answer)
5x - 2y = -6 ⇒ 10x - 4y = -12
2x - 1y = 1 ⇒ <u>10x - 5y = 5</u>
y = -17
5x - 2(-17) = -6
5x + 34 = -6
<u> - 34 - 34</u>
<u>5x</u> = <u>-40</u>
5 5
x = -8
(x, y) = (-8, -17)
2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y = 16 ⇒ <u>10x + 4y = 32</u>
<u>11y</u> = <u>2128</u>
11 11
y = 193.4545455
2x + 3(193.4545455) = 432
2x + 580.3636364 = 432
<u> - 580.3636364 - 580.3636364</u>
<u>2x</u> = <u>-148.3636364</u>
2 2
x = -74.1818182
(x, y) = (-74.1818184, 193.4545455)
Answer: 51
Step-by-step explanation:
You divide both numbers
683.40 / 13.40