What is the greatest common factor of a^6b^3 and a^4b^7
If a car can travel 250 miles on 10 gallons of fuel, how many gallons are required to travel 1,325 miles?
Answer:
53 gallons of fuel
Step-by-step explanation:
Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)
[tex]\frac{10}{250} = \frac{x}{1325}[/tex]
Step 2: Divide the given values (The given values are 10 over 250. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 25)
[tex]\frac{10}{250}\\\\10 \div 250\\\\= 0.04[/tex]
Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)
[tex]1325 \times 0.04\\\\= 53[/tex]
Therefore, 53 is the amount of gallons of fuel needed.
There are (2^4)^2•2^0 books in a cupboard. What is the total number of books in the cupboard?
Columbus Ohio Population: 8.23 * 10^5
United States Population: 3.19 * 10^8
About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work.
math question down below
According to statistics, a person will devote 37 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 19. Over the lifetime, how many years will the person spend on each of these activities? The person will spend X years watching TV and X years sleeping
Final answer:
A person will spend 28 years sleeping and 9 years watching TV if they devote 37 years combined to these activities with sleeping exceeding TV watching by 19 years.
Explanation:
To solve the problem of how many years a person will spend watching TV and sleeping given that the total is 37 years and the number of years sleeping exceeds watching TV by 19, we can use two variables X and Y where X represents the number of years spent watching TV and Y represents the number of years spent sleeping. Now, we know two things:
X + Y = 37 (since the total is 37 years)Y = X + 19 (since sleeping exceeds watching TV by 19 years)Substituting the second equation into the first, we get:
X + (X + 19) = 37
2X + 19 = 37
2X = 37 - 19
2X = 18
X = 9
Now that we know X, which is the number of years watching TV, we can easily find Y, the number of years sleeping, by plugging X into the second equation:
Y = X + 19 = 9 + 19
Y = 28
Therefore, the person will spend 9 years watching TV and 28 years sleeping.
Last year at this time we had 250 employees. Due to attrition , we lost 12% of our workforce. How many employees are working now
If you wanted an output of 7 for the rule y= -x+4, what would you need as an input?
To get an output of 7 in the equation y = -x+4, the input value needed is -3.
Explanation:To obtain an output of 7 for the linear equation y = -x + 4, we need to find the appropriate input value (x). The equation represents a straight line in the Cartesian plane, where 'y' is the dependent variable, and 'x' is the independent variable.
To solve for 'x' when y = 7, we simply substitute 7 for 'y' in the equation:
7 = -x + 4
Now, we need to isolate 'x' on one side of the equation. To do this, we can move the constant term (4) to the other side of the equation by subtracting it from both sides:
7 - 4 = -x
This simplifies to:
3 = -x
To solve for 'x', we multiply both sides by -1 to get:
x = -3
So, if you input x = -3 into the equation y = -x + 4, you will indeed get an output of 7:
y = -(-3) + 4
y = 3 + 4
y = 7
Therefore, an input of x = -3 will yield an output of 7 for the given equation.
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The cost in dollars in making M wedding cakes is represented by c = 24n + 35. How many wedding cakes are made when the cost is $480?
Find the square.
(4m − 4)2
16m^2 - 32m + 16
if this is what you are looking for
Brainliest?
Item 3 Solve the equation. 6=−w86=−w8 w =?
An item costs c dollars and 6% sales tax is charged... You are buying a skateboard that costs $75. What is the cost of the skateboard including sales tax?
2 divide 2x+ 35 va rog ajutati-ma
r= 2/3t +v , for t need answer and how u got it
Identify the translation rule on a coordinate plane that verifies that triangle A(-5,1), B(-2,7), C(0,1) and triangle A'(-6,0), B'(-3,6), C'(-1,0) are congruent.
Answer:
Triangle ABC translate 1 unit left and 1 units down to get the triangle A'B'C'. The rule of translation is
[tex](x,y)\rightarrow (x-1,y-1)[/tex]
Step-by-step explanation:
Given information: In triangle ABC, A(-5,1), B(-2,7), C(0,1). In triangle A'B'C', A'(-6,0), B'(-3,6), C'(-1,0).
Let the rule of translation be
[tex](x,y)\rightarrow (x-a,y-b)[/tex]
where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b<0, then the graph shifts b units up and if b>0, then the graph shifts b units down.
It is given that A(-5,1) and A'(-6,0).
[tex]A(-5,1)\rightarrow A'(-5-a,1-b)[/tex]
[tex]A'(-6,0)=A'(-5-a,1-b)[/tex]
On comparing both sides, we get
[tex]-6=-5-a\Rightarrow a=1[/tex]
[tex]0=1-b\Rightarrow b=1[/tex]
The value of a is 1 and value of b is 1. So, the rule of translation is
[tex](x,y)\rightarrow (x-1,y-1)[/tex]
Therefore the triangle ABC translate 1 unit left and 1 units down to get the triangle A'B'C'.
Is 8.17539... irrational or rational?
the jenkins familys monthly budget is shown in the circle graph the family has a monthly income of 4800 how much money do they spend on transportation every year
how do you solve -2(5+6x)+16=-90
One winter night the temperature fell 16 degrees between midnight and 5 A.M. By 9 A.M.the temperature had doubled from what it was at 5 A.M. By noon, it had risen another 9 degrees to 29 degrees. What was the temperature at midnight?
I don't understand what to do
Answer:
Unless there's something else, I'm supposed to be seeing the answer is 4.
Step-by-step explanation:
6-2=4
pizza costs 1.50 per slice. use a table and an equation to represent the relationship between the number of slices of pizza bought and total cost
# of slices Price
1 1.50
2 3.00
3 4.50
4 6.00
5 7.50
6 9.00
Greg had a rope one meter long. Greg and his friend Brad each cut off 0.2 meter of the rope to use in Greg's tree house. Greg cut off another 1/10 meter of the rope to use on a chair. What is the length of the rope in meters, that was left unused?
43.586 to the nearest tenth
What is 5 minus 16 tenths
three fourths of the voters supported the bond measure .if there were 8000 voters,how many supported the bond measure.
"The diameter of Pluto is 6/17 the diameter of Mars. Mars has 17/300 the diameter of Saturn. What fraction of the diameter of Saturn is the diameter of Pluto?"
Which number is not in scientific notation?
9 ⋅ 101^9
7.8 ⋅ 10^6
1.45 ⋅ 10^−7
0.33 ⋅ 10^−15
What is the value of 7 + z ÷ 2, when z = 10?
Answer:
the answer is 12 i did the test
Step-by-step explanation:
The scale on the map indicates 1 inch=150 miles. The distance from Philadelphia to Miami is 1200 miles. On the map, how far apart and Philadelphia and Miami?
PLEASE HELP!!!!
96 oz __ 5 lb
less than
greater than
equal too
6 yd, 1 ft= __ft
7
12
19
36
The correct statements are;
1. 96 oz greater than 5 lb.
2. 6 yd, 1 ft = 19 ft.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity.
Given that;
To check the relation between 96 oz and 5 lb.
And, Value of 6 yards in feet.
Since, 1 lb = 16 oz
Hence, 5 lb = 5 x 16 = 80 oz
So, 96 oz > 80 oz
Thus, 96 oz > 5 lb
And,
Since, 1 yards = 3 feet
Thus, 6 yards + 1 feet = 6 x 3 + 1
= 18 + 1
= 19 feet.
So, The correct statements are;
1. 96 oz greater than 5 lb.
2. 6 yd, 1 ft = 19 ft.
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