Which of the following algebraic expressions cannot represent the phrase half of a number x
Answers
ANS:
7x
EXTRA WORKING SPACE:
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B 0.46 liters
C 4.6 liters
D 46 liters
Answers
Answer:
B. 0.46 liters
Step-by-step explanation:
Using 0.5 of the container is the same thing as using half of the container.
We can calculate how much she used by dividing:
0.92/2 = 0.46
Answers
The total number of choices is 42 if a local department store sells carpets in 4 sizes. Each carpet comes in 3 different qualities. One of the sizes comes in 5 colors.
What are permutation and combination?
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
A local department store sells carpets in 4 sizes.
Each carpet comes in 3 different qualities.
One of the sizes comes in 5 colors.
The other sizes come in 3 colors.
The number of choices can be found as follows:
= 1x3x5
= 15
= 3x3x3
= 27
Total number of choices = 15 +27
= 42
Thus, the total number of choices is 42 if a local department store sells carpets in 4 sizes. Each carpet comes in 3 different qualities. One of the sizes comes in 5 colors.
Learn more about permutation and combination here:
#SPJ2
reason:
4*3*5
12*5
=60
or
4*3*5
4*15
=60
Answers
Answer:
the missing length is 5
Step-by-step explanation:
Since we are given similar triangles, we can simply use proportions to solve the problem:
we say that 2 is to side of length 4, the same as m is to side lengths 10. And in math terms:
Answers
Answer:
about 4.097 seconds
Step-by-step explanation:
The vertical velocity is ...
(35 m/s)sin(35°) ≈ 20.075 m/s
When the projectile reaches the level from which it was launched (ground level), its final velocity will be the opposite of its initial velocity. Thus, the change in velocity is ...
-20.075 -(20.075) = -40.150 . . . . m/s
The acceleration is provided by gravity, which is -9.8 m/s², so the time required is ...
t = Δv/a = (-40.150 m/s)/(9.8 m/s²) ≈ 4.097 s
Do not do any rounding.
Answers
Givens
Slower car
r = r
t = 12 hours
d = ?
Faster car
r = r + 20
t = 8 hours
d = ?
It doesn't matter what the exact distance is. You just have to know that the 2 distances are equal ie going to the mountains from his home is the same distance as going from the mountains to his home.
d = r * t
r * 12 hours = (r + 20)* 8 hours. Remove the brackets on the right
r*12 = 8r + 20*8
r*12 = 8*r + 160
r*12 - 8r = 8r - 8r + 160
4r = 160
r = 40 miles / hour
=================
Slower Ride determines the distance.
d = r*t
d = 40 * 12
d = 480
Check
Use the faster rate (r + 20) = 40 + 20 = 60 mph
60 * 8 = 480. Both distances work out to be the same.
Answers
9514 1404 393
Answer:
2a. (x, y) = (2, 2)
2b. (x, y) = (3, -1)
3. -5, 3, y, 5, 1
Step-by-step explanation:
2A.
The first equation defines an expression for x, so it is convenient to use that to substitute for x in the second equation.
2(3y-4) -y = 2 . . . . . substitute for x
6y -8 -y = 2 . . . . . . eliminate parentheses
5y = 10 . . . . . . . . . add 8, collect terms
y = 2 . . . . . . . . . . divide by 5
x = 3(2) -4 = 2 . . . find x using the first equation
The solution is (x, y) = (2, 2).
__
2B.
Add 3 times the second equation to the first.
(3x +2y) +3(-x +y) = (7) +3(-4)
5y = -5 . . . . . simplify
y = -1 . . . . . . . divide by 5
x = y +4 = -1 +4 = 3 . . . . rearrange the second equation
The solution is (x, y) = (3, -1).
__
3.
The slope of this equation is -5 [the x-coefficient]. I would start at +3 [the y-intercept] on the y axis and then drop down 5 and run over 1 .
[The slope is the ratio of rise to run. A slope of -5 means the "rise" is a drop of 5 for each "run" of 1 unit to the right.]