Answer:
10 small boxes and 12 large boxes
Step-by-step explanation:
Let x = number of large boxes
Let y = number of small boxes
We are told that;
volume of each small box = 6 cubic feet
volume of each large box = 22 cubic feet.
Total volume = 324 ft³
Thus;
6x + 22y = 324 - - - (eq 1)
We are told that 22 boxes of paper were shipped.
Thus; x + y = 22 - - - (eq 2)
Making x the subject in eq 2 gives;
x = 22 - y
Put 22 - y for x in eq 1;
6(22 - y) + 22y = 324
132 - 6y + 22y = 324
16y = 324 - 132
16y = 192
y = 192/16
y = 12
So, x = 22 - 12 = 10
Hello :
<span>the nth term of a geometric sequence is :
Un = Up ×r^(n-p) . r is the common ratio
for : p=5 and n= 2
U5 = U2 ×r^3
16 = -2 r^3
r^3 = -8
but : -8 = (-2)^3
so : r = -2
Un = U2 × r^(n-2)
Un = -2 ×(-2)^(n-2)= (-2)^(n-2+1)
</span><span>the nth term of a geometric sequenceis : Un = (-2)^(n-1)</span>
The inequality negative 3 and one-half greater-than negative 4.5 or -3.5 > -4.5 is true.
<h3>What is inequality?</h3>
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have inequalities given:
or
1.5 > 2.5 (false)
1/2 > 0.5
0.5 > 0.5 (false)
-2.5 > -1.5 (false)
-3.5 > -4.5 (true)
Thus, the inequality negative 3 and one-half greater-than negative 4.5 or -3.5 > -4.5 is true.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ1
Answer:
$600
Step-by-step explanation:
Let "x" represent their total budget for the film.
Amount spent on costumes = $330
Percent spent on costumes = 55%
Therefore:
55% of x = $330
55/100 × x = 330
55x/100 = 330
Cross multiply
55x = 100 × 330
55x = 33,000
Divide both sides by 55
x = 33,000/55
x = 600
Total budget = x = $600
Answer:
40
Step-by-step explanation:
FAC = FAE + EAD +CAD
We know FAC = 180 and CAD = 50 and EAD = 90
180 = FAE + 90 +50
Combine like terms
180 = FAE + 140
Subtract 140 from each side
180-140 = FAE +140-140
40 = FAE
