Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per hour. The westbound train travels at 65 miles per hour. How long will it take for the two trains to be 196 miles apart?
How many times larger is a 10-pound dog than a hamster weighing 5/8 pound?
While catching fireflies, you and a friend decide to have a competition. After mm minutes, you have (3m+13)(3m+13) fireflies and your friend has (4m+6)(4m+6) fireflies.
a. How many fireflies are caught each minute during the competition?1m+7 fireflies are caught per minute.
b. How many fireflies are caught before the competition starts? fireflies are caught before the competition starts.
Answer: the equation is 7m + 19
Step-by-step explanation:
Please help thank you!
If their food and beverages cost $25.30 and there is an 8% meals tax
Answer:
Then they'll pay $27.32
Step-by-step explanation:
In order to determine this, start by multiplying the cost of the meal by the tax amount.
25.30 * 8% = 2.02
Now add the tax to the meal cost
25.30 + 2.02 = 27.32
find the perimeter of a ruler that measures 12 inches by 7/8 inch.
What is the remainder when 4x4 − 10x3 + 14x2 + 7x − 19 is divided by 2x − 1
The remainder when [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] is divided by 2x − 1 is -13.
The given expressions are [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] and 2x-1.
What is the remainder?The Remainder is the value left after the division. If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder.
The division of the given expressions are given below:
2x³-4x²+5x+6
___________________
2x-1 | [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex]
- ([tex]4x^4-2x^3[/tex])
____________________
-8x³+14x²+7x-19.
-(-8x³+4x²)
______________________
10x²+7x-19
-(10x²-5x)
__________
12x-19
-(12x-6)
_________
-13
Therefore, the remainder when [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] is divided by 2x − 1 is -13.
To learn more about the algebraic expressions visit:
https://brainly.com/question/15211952.
#SPJ5
Find a) the GCM (Greatest Common Multiple) and b) the LCM (lowest common multiple:
x²- 3x + 2; x²- 4x + 4
A newspaper carrier can deliver 49 papers in one hour at this rate how many newspaper can the carrier deliver in 3 hours
What is the value of x?
Enter your answer in the box.
x =
°
Triangle A B C with angle A measuring thirty degrees, angle B measuring seventy degrees and angle C marked x
Answer: In a triangle, the sum of the 3 angles is always equal to 180°
Then if the angle A is equal to 30°, the angle B is equal to 70°, what is the angle C?
if x is the angle C, and using the first statement, we got:
30° + 70° + x = 180°
100° + x = 180°
x = 180° - 100° = 80°
So the angle of C is equal to 80°.
Write an equation for a rational function that has a vertical asymptote at x=1 and a hole at x=3
The price of an item has been reduced by 55% . The original price was $80 . What is the price of the item now?
An equilateral triangle has a perimeter of 102 in. What is the length of each side of the triangle?
3 different problems, sorry these type confuse me
f(x) = 5x - 1 and g(x) = 6x, find f(g(x))
f(x) = 5x - 1 and g(x) = 6x, find g(f(x))
f(x) = 5x - 1 and g(x) = 6x, find g(f(2))
Please Help Me Anyone !!!
Addison earned a gross income of $42,750 last year. She made $537.56 in IRA contributions, donated $918 to her favorite charity and paid $1,351.35 in home mortgage interest. If Addison claims a standard deduction of $5,700 and her exemption is $3,650, what is her taxable income?
$30,593.09
$36,293.09
$31,511.09
$32,862.44
Answer:
The answer is: $ 30,593.09.
Step-by-step explanation:
To the gross income of $ 42,750 of Addison, the amounts of the payments made must be deducted, that is, $ 537.56, $ 918, $ 1,351.35, plus the exemption of $ 3,650, and also if they grant him the standard deduction of $ 5,700; Your taxable income would be: $ 42,750 - ($ 537.56 + $ 918 + $ 1,351.35 + $ 3,650 + $ 5,700) = $ 30,593.09
The answer is: $ 30,593.09.
On a given blueprint, 1 inch=12 feet. if the dimensiopns of a recreation room on the blueprint are 2 onches x 1.75 inches. what are its actual measurements
Unit conversion is the conversion of one unit to another unit with its standard conversion.
The actual dimension of the recreation room is 24 feet x 21 feet.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 minute = 60 seconds
1 km = 1000 m
1m = 100 cm
1 hour - 60 minutes
We have,
Recreation room dimension on the blueprint:
= 2 inches x 1.75 inches ______(A)
Scale factor:
1 inch = 12 feet
The actual dimension of the recreational room:
1 inch = 12 feet
Multiply 2 on both sides.
2 inches = 24 feet _____(1)
1 inch = 12 feet
Multiply 1.75 on both sides.
1.75 inches = 1.75 x 12 feet
1.75 inches = 21 feet ______(2)
From (1) and (2) and (A) we get,
= 2 inches x 1.75 inches
= 24 feet x 21 feet
Thus,
The actual dimension of the recreation room is 24 feet x 21 feet.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ2
Is an equation that has 0 for a solution the same as an equation with no solution?
Which shape has congruent diagonals? Question options:
a rectangle
a parallelogram
a trapezoid
The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School. Grade Teachers Students 6 1 25 7 2 50 8 3 75 Which teacher-to-student ratio maintains the proportional relationship described in the table?
Which equation could be used to solve the problem?
Mr. Guzman drove his car 1080 miles in 6 weeks.
If he drove the same distance every week, which equation shows how far he drove each week (d)?
A.
d = 6 ÷ 1080
B.
d = 1080 – 6
C.
d = 1080 • 6
D.
d = 1080 ÷ 6
Mr. Guzman drove 1080 miles in 6 weeks. To find the distance driven each week, use the equation d = 1080 ÷ 6, which equals 180 miles per week. Therefore, the correct equation is option D.
Mr. Guzman drove 1080 miles in 6 weeks. We need to find out how far he drove each week if he drove the same distance every week.
Identify the Total Distance Driven: 1080 milesIdentify the Total Time Period: 6 weeksSet Up the Equation: Since Mr. Guzman drove the same distance every week, we use the formula:
d = Total Distance / Total Time.Substitute Known Values:
d = 1080 ÷ 6Calculate the Result:
d = 180 miles per weekThe correct equation that shows how far Mr. Guzman drove each week is d = 1080 ÷ 6, which corresponds to option D.
What is the sum of the solution of 2lx-1l-4=-2
A total of 697 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?
How to do a math probem of two people working together?
Identify the slope and y intercept in this statement "it takes 45 minutes to paint 2 rooms. you have all ready painted for 45 minutes.
You can use a minus sign to make a negative number like -2. what happens if you put a plus sign before a number? what about 2++2?
Final answer:
A plus sign before a number does not change its value. In the expression 2++2, the two plus signs next to each other are interpreted as a positive number followed by another positive number.
Explanation:
When you put a plus sign before a number, it doesn't change the value of the number.
The plus sign is just a symbol to indicate that the number is positive.
In the expression 2++2, the two plus signs next to each other are not a valid mathematical operation.
Instead, it is interpreted as a positive number followed by another positive number.
So, 2++2 is equal to 2+2, which is 4.
A car travels 252 miles in 5 hours and 15 minutes. how many miles does it travel per hour?
Answer:
48 miles per hour
Step-by-step explanation:
5hrs and 15minutes = 315minutes
If 252 = 315
x = 60
By cross multiplication
315x = 60 * 252
315x = 15,120
x = 15120/315
x = 48 miles per hour
When developing a plan for a geometric proof, which of the following is not important?
A.) evaluate the given statement(s)
B.)determine the number of steps needed
C.)look carefully at the figure
D.)create a plan for the proof
Answer: B.)determine the number of steps needed
Step-by-step explanation:
A geometric proof of a geometric statement includes the following steps :-
a) Evaluate the given statement.
b) Look carefully at the figure related to the geometric statement .
c) Create a plan to express the proof.
d)Then use definitions, given axioms, postulates and previously proved theorems to write a logical explanation approaches to the conclusion.
Hence, the step is not important to develop a plan for a geometric proof: is "determine the number of steps needed" .
what is thirty five percent of two hundred
Help pleaseeeeeee!!!!!
I need help with 13 please ASAP
338.50 - 45 = 293.50 was spent on tolls
293.50 / 14 = 20.96
so 21 tolls