Answer:
1/3
Step-by-step explanation:
The GCF is 15. 15 divided by 15 is 1, and 45 divided by 15 is 3.
Could you perhaps mark my answer as brainliest?
since 3 is a common factor in both 15 and 45 we can do:
15/3 = 5
45/3 = 15
to get 5/15
now 5 is a common factor in both 5 and 15 so we can do:
5/5 = 1
15/5 = 3
so the simplest version is 1/3
What is the solution of log2x+3125 = 3? (1 point) 0
0
1
x=3
0
0
.
x=4
Answer:
Step-by-step explanation:
Assuming the equation is:
Then taking antilogarithms gives:
We simplify on the left to get:
This gives us:
We subtract 3125 from both sides to get:
Answer:
x=1
Step-by-step explanation:
i did the test
(7x + y)2 – 36(3x + 2y)2
Answer:
i think the answer is 146y-202x
Answer:
−202x+−142y
Step-by-step explanation:
step one:distribute
(7x)(2)+(y)(2)+−216x+−144y
14x+2y+−216x+−144y
step two:combine like terms
14x+2y+−216x+−144y
(14x+−216x)+(2y+−144y)
=−202x+−142y
plz mark me brainliest
What is the answer to 7(p - 14) = 42 ?
Answer:
p=20
Step-by-step explanation:
7(p-14)=42
step one : distribute the 7 inside the parentheses
7p-98=42
step two: get 98 to the other side of the equal sign
7p=140
step 3: get p by itself
p=20
The fuel economy of my car is 40mi/gal. This is 6 mi/ gal less than twice that of mid- size car. Find the fuel economy for the mid-size car.
40=2x-6
fuel economy is 23 of mid size car
On a no wind day, an airplane is flying 2000 miles round trip from Chicago to Boston and back to Chicago with a constant speed of 500 mph. About how long would it take to fly the same round trip if there is a wind speed of 100 mph from Chicago to Boston during the whole round trip flight?
Answer:
It would take the plane about 4.17 hours to fly the whole round trip.
Step-by-step explanation:
Assuming that the distance from Chicago to Boston is 2000/2 = 1000 miles.
Since the wind is blowing from Chicago to Boston, when the plane is traveling to Boston, the velocity of the wind adds to the its velocity:
;
therefore, the time it takes for the plane to go from Chicago to Boston is
Now, as the plane flies back from Boston to Chicago, the wind is blowing opposite the direction of its movement; therefore, the wind's velocity subtracts from the velocity of the plane:
and the time taken during the trip is
Therefore, the total time taken during the whole round trip is
Therefore, on the windy day, it would take the plane 4.17 hours to fly the whole round trip
Let () = x + 6 and () = 5x − 2. Find the solution to the equation () = () by sketching the functions.
f(x) = g(x) at x=2.
Step-by-step explanation:
We have, f(x) = x + 6 & g(x) = 5x - 2. Let's sketch graph step by step :
for f(x):
f(x)= x is a straight line passing through origin. Then , shift graph by 6 units in right so it be comes f(x) = x + 6 .
For g(x) :
g(x) = x is a straight line passing through origin. Then , expansion of graph by 5 units so it becomes g(x) = 5x . Then , shift the graph by 2 units to left so final equation becomes g(x) = 5x - 2.
Now, on comparing graph of both f(x) & g(x) we see that f(x) cuts g(x) at one and only point at x = 2. Also, for x = 2 , f(x) = g(x). ∴f(x) = g(x) at x=2.
The following circle graph represents how the Townsends spend their monthly income What is the central angle measure of the section that represents "Miscellaneous"?
Townsend's Monthly Budget
Food
20%
Miscellaneous
25%
Clothing
10%
Bills
40%
Savings
5%
A.25°
B.54
C.720
D.90°
Answer:
Would be a 90 Degree central angle.
Step-by-step explanation:
The average rate of change of g(x) between x = 4 and x = 7 is 5/6 . Which statement must be true? 017)-0(4) =
017-4) 5
7-4 = ā
oli
917)
914)
5
6
Answer:
would be the correct statement.
Step-by-step explanation:
As we know that
Average rate of change = Change in output / Change in input
= Δy / Δx
As the average rate of change of g(x) between x = 4 and x = 7 is 5/6.
so
Therefore, would be the correct statement.
Answer: C on edge
Step-by-step explanation:
2022 papi chulo
What is 8.7 7 reapeating forever as a fraction
Answer:
877/100
hope it's correct Ashlin! :D
Which one is greater than 1 3/24 or 1 2/6
Answer:
1 2/6
Step-by-step explanation:
1 3/24 is simplified to 1 1/8
1 2/6 is simplified to 1 1/3
since the denominator in 1 1/3 is less and the numerators are the same 1 2/6 is greater.
Answer:1 2/6
Step-by-step explanation:
From the above:
3/24 = 0.2
1 2/6 = 14/6 = 2.33
P varies directly as I. If P is 0.5 when I is 4, find P when I is 6
Answer:
P = 0.75
Step-by-step explanation:
Given that P varies directly as I then the equation relating thenm is
P = kI ← k is the constant of variation
To find k use the condition P = 0.5 when I = 4, thus
k = = = 0.125
P = 0.125I ← equation of variation
When I = 6, then
P = 0.125 × 6 = 0.75
Each week, Darin's Lawn Service mows 90 lawns in 45 hours at a housing complex. The lawns in the complex are the same size. At this rate, how many hours will it take Darin to mow 12 lawns?
The number of hours it takes Darin to mow 12 lawns is 24 hours.
Given that, Each week, Darin's Lawn Service mows 90 lawns in 45 hours at a housing complex.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here, the rate at which Darin's Lawn Service mows
= 90/45
= 2 lawns/hour
Now, number hours to mow 12 lawns
= 12 ×2
= 24 hours
Therefore, the number of hours it takes Darin to mow 12 lawns is 24 hours.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
Convert into fraction:
0.612
the 12 reapeating forever
plz help
Answer:
Step-by-step explanation:
x=0.6121212... (1)
10x=6.121212... (2)
1000 x=612.121212... (3)
(3)-(2) gives
990 x=606
330x=202
165x=101
x=(101)/165
Answer:
Step-by-step explanation:
What is the slope of the line passing through the points (4, 8) and (1, 6)?
Triangle DEF is congruent to right triangle ABC, shown below. If point E has the coordinates (1, 5), what could be the coordinates of point F? (–2,1)
(–3,2)
(1,0)
(1,2) l
Answer: A
(-2,1)
Step-by-step explanation:
Just did it on Edge
Answer:
-2,1
Step-by-step explanation:
n/a
What is the median of the following numbers? 8 , 10 , 8 , 5 , 4 , 7 , 5 , 10 , 8
Answer:
Step-by-step explanation:
arranging in ascending order
4,5,5,7,8,8,8,10,10
n=9
median=(9+1)/2=5th term=8
Answer:
The median is 8
Step-by-step explanation:
1. You have to organize them in least to greatest order,
4,5,5,7,8,8,8,10,10
2. Now take these numbers and climate one from each side untill you have 1 or 2 numbers left.
4 5 5 7 8 8 8 10 10
x x x x ! x x x x
The median is 8
12. A flat, square roof needs a square patch in the corner to seal a leak. The side length of the roof is (x + 12) ft and the side length of the patch is x ft. What is the area of the
good part of the roof?
Answer:
Step-by-step explanation:
Area of the good part= area of whole roof - area of bad part
Since the roof is a square roof, the area will be calculated using the formulae for area of a square
Area of a square =length²
Area of good part =(x+12)²-x²
A= {(x+12)(x+12)} - x²
A = (x²+12x+12x+144) -x²
Open the bracket and rearrange the equation
A= x²-x²+24x+144
A=(24x+144) ft
Work out
Function B: x -> (divide by) 5 ->+1 b) Find the inverse function
of function B.
Your answer should begin y =
Answer:
y = 5(x - 1)
Step-by-step explanation:
y = (x/5) + 1
Make x the subject
y - 1 = x/5
x = 5(y - 1)
Interswitch x and y
y = 5(x - 1)
Or, y = 5x - 5
Solve the quadratic equation by completing the square. 2x2 + 3x - 4 = 0
Answer: x = 0
Step-by-step explanation:
4 + 3x - 4= 0
3x=0 (divide both sides by 3)
x= 0/3
x = 0
Step-by-step explanation: