What strategy would be the best to solve this problem? Ann-Marie bought apples. She kept one-third for herself and gave the rest to 4 friends. Each friend got 2 apples. How many apples did Ann-Marie buy? A. guess, check and revise B. work backwards C. use a formula D. look for patterns
Answers
Answer:
D. Look for patterns
Step-by-step explanation:
To solve :
Assume number of apples bought = x
Fraction kept = 1/3 of x
Fraction shared = (x - x/3) = (3x - x) /3 = 2x/3
Number of people who shared (2x/3) = 4 with each getting 2
Total number shared = 4 * 2 = 8
Fraction shared = total shared
2x/3 = 8
Multiply both sides by 3
(2x/3) * 3 = 8 * 3
2x = 24
x = 12
Hence, Anne-Marie purchased 12 apples
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If a square plate has side lengths of 5 inches, what is the length of the diagonal to the nearest tenth of an inch?
Function B
Function A
6 9 12
10 15 20
x 3
y 5
15
y
A
25
9
8
7
6
5
4
3
2.
1
0
0 1 2 3 4
5
6 7
8 9
Answers
Answer:
Nonlinear
Step-by-step explanation:
B. .1
C. 10
D. 1
Answers
There u go
Answers
Answer:
Volume of the portion = 1.6 cubic inches
Step-by-step explanation:
Since, wooden dowel is in the shape of a cylinder,
Formula to be used to find the volume of the part Anna has cut from the dowel will be,
Volume = πr²h
Where r = radius of the cylinder or part of the wooden dowel
h = length of the portion
By substituting the values in the formula,
Volume = π(0.5)²(2)
= 0.5π
= 1.57 in³ ≈ 1.6 cubic inch
Therefore, volume of the portion will be 1.6 in³.
a. Write an equation to model how far from the bank Mr Reder is
after a certain amount of time has passed.
b. How far has he gone after 3 hours?
c. Draw an appropriate graph for this equation.
Answers
Answer:
a.
b.
c. Graph in the image attached
Step-by-step explanation:
a.
We can model how far from the bank Mr Reder is using a linear equation:
Where S is his final position, So is his inicial position, v is his velocity and t is the time elapsed.
So, if we have So = 3 miles and v = 5 miles per hour, we have:
b.
To find his position after 3 hours, we just need to use t = 3 and then find the value of S:
c.
The graph of the equation is in the image attached.
Answers
Answer:
Your favorite radio station in a given year plays 105120 songs.
Step-by-step explanation:
Lets make some assumptions:
1. A radio program in average last 50 minutes, because 10 of them are for commercials.
2. a song average length is about 3 minutes
3. the speakers use 10 to 20 minutes of the radio program.
4. So, in an hour just 30 minutes are effectively used to play songs on a radio station. That results in 10 per hour at least, and 13.3 at most. So lets settle an average of 12 songs per hour.
5. The radio station plays songs 24 hours a day unstoppable.
Now:
A day has 24 hours, a week seven days and therefor (24*7= 168 hours) 168 hours in a week.
A year has 52.1429 weeks, so it has 8760 Hours (52.17429weeks*168hours=8760 hours )
So:
8760 hours in a year
12 songs per hour
Answers
we know that they are x and 112
x+112=180
minus 112 both sides
x=68
answer is x=68 degrees
We know that a straight line is 180° and the angle given is 112°. To solve the problem you have to subtract 112° from 180°.
180° - 112° = angle x
Angle x = 68°
Check your work
Let angle x = 68°.
112° + 68° = 180°
The answer is correct.