One half of a number is 8 less than the number itself
Solve for x
7x-0.15=2x+0.6
Explain
Find a cubic function with the given zeros. Square root of five., - Square root of five., -7
A jet plane, flying 120 mph faster than a propeller plane, travels 3520 miles in 3 hours less time than the propeller plane takes to fly the same distance. how fast does each plane fly?
Final answer:
The propeller plane flies at a speed of 880 mph, and the jet plane flies at a speed of 1000 mph.
Explanation:
Let the speed of the propeller plane be represented by x mph. Since the jet plane is flying 120 mph faster, its speed can be represented as x + 120 mph.
We know that the distance traveled by both planes is the same, so we can set up the equation:
x * t = (x + 120) * (t - 3)
where t is the time taken by the propeller plane.
Simplifying the equation, we get:
x * t = xt + 120t - 3x - 360
Rearranging the terms, we have:
120t - 3x = 360
Since we have two variables, we need another equation. We can use the formula for distance, which is given by:
Distance = Speed * Time
For the propeller plane, we have:
D = x * t
For the jet plane, we have:
D = (x + 120) * (t - 3)
Since the distance is the same, we can equate these two equations:
x * t = (x + 120) * (t - 3)
x * t = xt + 120t - 3x - 360
Rearranging the terms, we get:
120t - 3x = 360
Solving the system of equations, we find that x = 880 mph and x + 120 = 1000 mph.
2,226 divided by 53 how do you solve this??
If f is a function defined by the equation yequals=f(x) then x is called the
When invested at an annual rate of 5%, an amount earned Php 15,000.00 of simple interest in 2 years. How much money was initially invested?
Janet Fog's uncle, Pete Moore, promised her a gift of $30,000 upon her graduation from law school or $1500 every quarter for the next four years. if the money could be invested at 12% compounded quarterly, which offer should Janet choose?
What is the measure of angle S?
132 + 56 + 79 = 267
360 - 267 = 93
answer is 93 degrees
How do I solve 28.8=18x
While in europe, if you drive 113 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 41.0 mi/gal ? assume that 1euro=1.26dollars?
Answer:
[tex]\$63.04[/tex]
Step-by-step explanation:
Distance traveled in [tex]1[/tex] day = [tex]113 km[/tex]
Distance traveled in [tex]1[/tex] week = [tex]113*7 = 791 km[/tex]
Mileage of car = [tex]41.0 mi/gal = \frac{41*1.60}{3.78} = 17.35 km/liter[/tex]
Total gas consumed = [tex]\frac{791}{17.35} = 45.49liter[/tex]
Cost of [tex]1liter[/tex] gas = [tex]1.10 euros = 1.10*1.26 = \$1.386[/tex]
Money spent on gas in a week = [tex]45.49*1.386 = \$63.04[/tex]
What is the value of x?
the sum of the interior angles equal 720
112 + 133 +128 +100 + 120 = 593
720 - 593 = 127
x = 127 degrees
Brandon is shopping at Old Navy during a sale. All shorts are $16 each and all t-shirts are $10 each.He has $100 to spend and would like to purchase at least 2 pairs of shorts.
a) Write a system of linear inequalities to represent
this situation, then graph.
b)Using your graph, give two possible combinations
of shorts and Brandon can buy.
Two possible solutions are (a) [tex]3[/tex] pairs of shorts and [tex]5[/tex] t-shirts
(b) [tex]4[/tex] pairs of shorts and [tex]3[/tex] t-shirts.
[tex]x=the\; number\; of shorts\\y=the\; number\; of\ t-shirt\; bought[/tex]
So equation formed is
[tex]16x+10y\leq 100[/tex]
[tex]10y\leq 100-16x\\y\leq 10-1.6x[/tex]---Eq [tex]1[/tex]
Bradon wants at least [tex]2[/tex] pair of shorts.Therefore
[tex]x\geq 2[/tex]--Eq [tex]2[/tex]
Now put,
[tex]x=3 \\y=10-1.6(3)\\y=10-4.8\\y=5\\[/tex]
Hence [tex]3[/tex] shorts and [tex]5[/tex] t-shirts
Now put,
[tex]x=4 \\y=10-1.6(4)\\y=10-6.4\\y=3\\[/tex]
Now graph the equation,
Learn more about inequalities here:
https://brainly.com/question/15137133?referrer=searchResults
I need help with equation number 6
What is the value of x ?
A certain roller coaster can accommodate 1600 riders per hour a digital sign states that there are 345 people in line if you get in line about how many minutes will it take you to get to the front of the line
This is what I've done so far but does anyone know what I do next or did I make a mistake
Use a calculator to round the nearest hundredth
a machine manufactures wheels with a diameter of 70cm.It is acceptable for the diameter of a wheel to be withen 0.02 cm of this value .write and sopve an absolute value equation to find the minimum acceptable diameters
help me please geometry
Janice deposited $750 in a savings account that earns 3.5% simple interest. How much interest has Janice earned by the end of the first year?
A.$776.25
B.$214.29
C.$2,625.00
D.$26.25
Jason's age is 1/2 of his brother's age. His brother's age can be represented by the expression 12a - 9. Write an expression that can be used to represent the sum of their ages.
A) 12a - 5.5
B) 18a - 13.5
C) 18a + 21
D) (12a-9)/2
Answer:
the answer is B)18a-13.5
Step-by-step explanation:
How would I solve 1/5=125^x
Solve each equation. Then check your solution. 3-a/7=-2
The difference of the squares of two positive consecutive even integers is 20 . find the integers. use the fact that, if x represents an even integer, then xplus 2 represents the next consecutive even integer.
The positive even numbers are 4 and 6.
EquationState of quality between two expressions consisting of variable and/or number.
Given
The difference of the squares of two positive consecutive even integers is 20.
To findThe number will be
How do find the numbers?The difference of the squares of two positive consecutive even integers is 20.
Let x be the even number and positive consecutive even is (x+2)
Then according to the condition
[tex]\begin{aligned} (x+2)^{2} -x^{2} &=20\\x^{2} +4x+4-x^{2} &= 20\\4x &= 20-4\\4x &= 16\\x &= \dfrac{16}{4}\\x &= 4\end{aligned}[/tex]
Then the positive even numbers are 4 and 6.
More about the equation link is given below.
https://brainly.com/question/2263981
What is the common term for the set of all points with x- coordinate zero?
A. X axis
B. Y axis
C. Coordinate plane
D. Origin
Answer:
Option B is the correct answer.
Step-by-step explanation:
We have X axis, Y axis and origin in coordinate plane.
Origin is the point for which both x and y coordinate is zero.
X axis is the set of all points with y- coordinate zero.
Y axis is the set of all points with x- coordinate zero.
Here we are asked to find the common term for the set of all points with x- coordinate zero.
That is Y axis
Option B is the correct answer.
Whats The Number name for 43,080,700
(01.02) kim earns $30 for babysitting on friday nights. she makes an average of $1.25 in tips per hour. write the function of kim's earnings, and solve for how much she would make after 3 hours. (1 point) y = 1.25x + 30; $33.75 y = 30x + 1.25; $43.75 y = 30x + 1.25; $91.25 y = 1.25x + 30; $31.25
help please! Note: Use ELIMINATION!!!
round 38562.7 to 1 significant figure