Answer:
40 gallons
Step-by-step explanation:
Let the number of gallons that would completely fill the bathtub be represented by N.
Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;
30% of N = 12
x N = 12
30N = 12 x 100
30N = 1200
divide both sides by 30,
N = 
= 40
The number of gallons that would completely fill the bathtub is 40 gallons.
Answer:
The jelly beans cost $2.25 / pound
The trail mix costs $1.25 / pound
Step-by-step explanation:
Let +a+ = cost/pound of jelly beans
Let +b+ = cost/pound of trail mix
(1) 6a + 2b =16
(2) 3a + 5b =13
Multiply both sides by 2
and subtract (1) from (2)
(2) 6a -2b = -16
(1) -6a -2b = -16
8b=10
b=1.25
and
(1) 6a+2b=16
(1) +3a+b=8
(1) 3a+1.25=8
(1) +3a=6.75
(1) a=2.25
Answer:
1. ║u-z║= 5.66
2.║v-w║=6.0
3. ║w-u║=6.08
4.║v-u║=7.81
Step-by-step explanation:
The vectors are given as;
u = <-1, -3>, v = <5,-8>, w = <5, -2>, and z = <3, 1>.
To find the magnitude of the vectors;
1. ║u-z║
<-1 - 3> = <-4 and < -3 - 1> = <-4
║<-4,-4> ║= √{ -4²+-4²} = √32 = 5.66
2.║v-w║
<5,-8> - <5,-2>
<5-5> , <-8--2>
<0,-6>
║<0,-6>║= √{0²+ -6²} = √36 = 6
3. ║w-u║
<5,-2> - <-1,-3>
<5--1> , <-2--3>
<6,1>
║6,1║= √{6²+1²} = √36+1 = √37 = 6.08
4.║v-u║
<5,-8> - <-1,-3>
<5--1> , <-8--3>
< 6 , -5 >
║6,-5║= √{6²+-5²} = √36+25 =√61 = 7.81
Answer:
Population Of the United States
Weight of a small car
Length of a bed
Weight of an average man
You combine those variables, then solve.
hope that helps :) ✨
