Answer:
m=-4
Step-by-step explanation:
5m-10m=-10m+5m=-(10m-5m)=-5m=20
divide by 5 on both sides, -m=4
miltiply by -1 on both sides, m=-4
Answer:
The answer is 2427.5
Step-by-step explanation:
The fraction consists of two numbers and a fraction bar: 4,855/200
The number above the bar is called numerator: 4,855
The number below the bar is called denominator: 200
The fraction bar means that the two numbers are dividing themselves.
To get fraction's value divide the numerator by the denominator:
Value = 4,855 ÷ 200
To calculate the greatest common factor, GCF:
1. Build the prime factorizations of the numerator and denominator.
2. Multiply all the common prime factors, by the lowest exponents.
Factor both the numerator and denominator, break them down to prime factors:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
4,855 = 5 × 971;
4,855 is a composite number;
In exponential notation:
200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;
200 is a composite number;
Answer:
Dream Destination Hawaii Number of Nights 4 Expense Total budgeted for each expense for the entire trip Round-Trip Airfare Airline 5,000 Cost per ticket dont know (you can use orbitz.com, kayak.com, or expedia.com) Lodging (Circle one) Hotel or Airbnb Cost per night dont know (you can check hotel prices on hotels.com and short-term vacation rentals on airbnb.com) Transportation (circle one) Car rental is $45 per day total Uber/taxis are $30 per day total Subway/buses are $10 per day total Food he (write your best estimate) Miscellaneous (museums, concerts, tips for servers, souvenirs, etc.) we (write your best estimate) Total $ ,780 Are you within your budget? yes If not, reduce one expense or the number of nights you’re staying above.
Step-by-step explanation:
Complete Question: A 25% vinegar solution is combined with triple the amount of a 45% vinegar solution and a 5% vinegar solution resulting in 20 milliliters of a 30% vinegar solution.
Write an equation that models this situation and explain what each part represents in the situation. Then solve the equation.
Step-by-step explanation:
let the volume of the 45% vinegar solution be x litres
,
the volume of the 25% vinegar solution be 3x
and the volume of the 5% vinegar solution be y
summation of all gives,
x+3x+y = 20
4x + y = 20
subtracting 4x from both sides to make y the subject of the equation, we have;
y = 20 - 4x
To the concentration:
substituting for the value of x and y into equation x + 3x + y = 20, we have,
.45x + .25(3x) + .05(20-4x) = .3(20)
multiplying through by 100 to make whole figures we have;
45x + 25(3x) + 5(20-4x) = 600
45x + 75x + 100 - 20x = 600
120x - 20x + 100 = 600
100x + 100 = 600
subtracting 100 from both sides, we have;
100x = 600 - 100
100x = 500
dividing both sides by 100,
x = 5.
