Answer:
The required simplest form is:
Step-by-step explanation:
We have been given Kyle has 125 marbles.
And 50 out of total 125 are red and rest of them are other colours
that means other colour marble are 125-50=75
we need to find ratio of the number of red marbles to the total of marbles
The ratio is:
The required simplest form is:
Answer:
Step-by-step explanation:
2/5
Answer:
Fisherman traveled 14.4 miles.
Step-by-step explanation:
A fisherman's downstream speed = 6 mph
and upstream speed = 4 mph
Let the fisherman traveled x miles he travels upstream.
Time spent in travelling x miles = hours [Since time = ]
Similarly when fisherman covers x miles down stream
Time spent in x miles = hours
Now total time in going upstream and downstream is 3 hours then
x
5x = 12×3
5x = 36
x = miles.
Since fisherman has traveled 2x distance so the answer will be 14.4 miles
Therefore, fisherman traveled 14.4 miles.
Answer:x=5
Step-by-step explanation:
First we do the parenthesis
-4(7+2x)=-7x-33
To get
-28+-8x=7x+-33
and
-8x-28=-7x-33
Then we Add 7x to both sides.
-8x-28+7x=-7-33+7x
-x-28=-33
Then we Add 28 to both sides.
-x-28+28=-33+28
-x=-5
Lastly Divide both sides by -1.
-x/-1=-5/-1
X=5
Answer:
3738
Step-by-step explanation:
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Check all that apply
2x2 + 6x = 20
A. -5
B. 20
C. -2
D. 1
E. 2
F -10
Answer:
-5 and 2
Step-by-step explanation:
Answer:
First three terms = 28, 22, and 16
Step-by-step explanation:
The formula for the nth term of an arithmetic sequence is given by:
an = a1 + (n-1)d, where:
Step 1: Find a1:
We can find a1 by substituting 10 for an, 4 for n, and -6 for d in the nth term formula:
10 = a1 + (4 - 1) * -6
10 = a1 + 3 * -6
(10 = a1 - 18) + 18
28 = a1
Thus, the first term is 28.
Step 2: Find a2 (the second term):
Now, we can find the second term by substituting 28 for a1, 2 for n, and -6 for d in the nth term formula:
a2 = 28 + (2 - 1) * -6
a2 = 28 + 1 * -6
a2 = 28 - 6
a2 = 22
Thus, the second term is 22.
Step 3: Find a3 (the third term):
Now, we can find the third term by substituting 28 for a2, 3 for n, and -6 for d in the nth term formula:
a3 = 28 + (3 - 1) * -6
a3 = 28 + 2 * -6
a3 = 28 - 12
a3 = 16
Thus, the third term is 16.
Step 4: Write the first three terms:
Therefore, the first three terms of the arithmetic series are 28, 22, and 16.