To calculate the remaining travel time to reach a destination, subtract the distance already driven from the total trip distance, then divide the remaining distance by the average speed. For this question, after driving 145 miles out of 345, and traveling at an average speed of 50 miles per hour, it will take 4 more hours to reach the destination.
Explanation:The student's question involves calculating the remaining time needed to reach a destination when driving at a constant speed, a typical problem in motion related to average speed and distance. We are given that the total distance is 345 miles, the average speed is 50 miles per hour, and the student has already driven 145 miles. To find the remaining time, we subtract the distance already covered from the total distance and then divide by the average speed.
First, we calculate the remaining distance to be covered by subtracting the distance already driven from the total distance: 345 miles - 145 miles = 200 miles. Next, we determine the time it would take to travel the remaining 200 miles at the average speed of 50 miles per hour. Time is calculated by dividing the remaining distance by the average speed.
Using the formula Time = Distance ÷ Speed, we have Time = 200 miles ÷ 50 miles/hour. This simplifies to 4 hours. Therefore, it will take 4 more hours for the student to reach their destination if they continue to drive at the same average rate of speed.
It will take 4 additional hours to reach the destination by driving the remaining 200 miles at an average speed of 50 miles per hour.
Explanation:To calculate the time it will take to reach the destination, we can use the formula for time which is:
Time = Distance / Speed.
You have already driven 145 miles, so you have 345 miles - 145 miles = 200 miles left to travel. Given that you are driving at an average rate of 50 miles per hour, the remaining travel time can be calculated as follows:
Time = 200 miles / 50 miles per hour = 4 hours.
Therefore, it will take 4 more hours to reach your destination.
To find the time it will take to reach your destination, you need to divide the remaining distance by the average speed. So, if you have already driven 145 miles, you have 345 - 145 = 200 miles left to drive. Using the formula: time = distance / speed, the time it will take to reach your destination is 200 miles / 50 miles per hour = 4 hours.
suppose Mina and two of her friends go to the movies.write an expression that could be used to find the total cost for them to go to the movies and buy one of each item.
The required expression represents the total cost for them to go to the movies and buy one of each item is y = 2[a + x].
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
The question seems to be incomplete,
Let the cost of the item be 'a' the cost of the movie be x, and the total cost be y,
According to the question,
y = 2[a + x]
Thus, the required expression represents the total cost for them to go to the movies and buy one of each item as y = 2[a + x].
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What is 983.491 rounded to the nearest whole number?
How do work 3x-2y=3 and 5x-5y=10
What value should go in the empty boxes to complete the calculation for finding the product of
0.98 × 0.73? Both numbers are the same; however, only input the number one time in your answer.
Answer:
The number is 6
Step-by-step explanation:
8*7=56, 9*7+5=68, 6860.
hope this helps
To find the product of 0.98 × 0.73, multiply the digits in the tenths and hundredths places and combine the products.
Explanation:To find the product of 0.98 × 0.73, you need to multiply these two numbers together. First, eliminate any extra zeros in the decimals. Then, multiply the digits in the tenths place (8 × 7) and the digits in the hundredths place (9 × 3). Finally, combine the two products to find the final answer.
0.98 can be written as 0.981 and 0.73 can be written as 0.731.
Multiply the digits in the tenths place: 8 × 7 = 56;Multiply the digits in the hundredths place: 9 × 3 = 27;Combine the two products: 56 + 27 = 83.Therefore, the product of 0.98 × 0.73 is 0.83.
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The table shows revenue R (in millions of dollars) of a company when it spends A (in millions of dollars) in advertising.
a. Write a linear function that relates the revenue to the advertising cost.
b. What is the revenue of the company when it spends $10 million on advertising?
(Table is attached below)
a line contains the points (4,2) and (0,-1). what is the equation of the line. a) y=2x -6
b)y= 3/4x -1
c) y= 1/4x + 1
d) y= 4/3x - 10/3
The equation of the line passing through the points (4,2) and (0,-1) is y = -3/4x + 5.
Explanation:To find the equation of a line passing through two points, we need to find the slope and the y-intercept.
The formula for finding the slope is: m = (y2 - y1) / (x2 - x1)
Using the points (4, 2) and (0, -1):
x1 = 4, y1 = 2x2 = 0, y2 = -1Substituting these values into the formula, we get: m = (-1 - 2) / (0 - 4) = 3 / -4 = -3/4
The slope of the line is -3/4.
Next, we can use the slope-intercept form of the equation of a line, which is: y = mx + b
Using one point and the slope, we can solve for the y-intercept, b.
x = 4, y = 2, m = -3/4Substituting these values into the slope-intercept form, we get: 2 = (-3/4)(4) + b
Simplifying this equation, we find: 2 = -3 + b
Adding 3 to both sides, we get: b = 5
Therefore, the equation of the line is: y = -3/4x + 5
the height of the triangle shown can be found using the expression 48 divide by b ,where b is the base of the triangle what is the height of the triangle
Answer:
6
Step-by-step explanation:
b is 8ft and 48 divided by 8 is 6
@gamerbrehyt2 What is the solution set of -9x ≤ 27?
x ≤ -3
x ≥ -3
x ≤ 3
x ≥ 3
Answer:
X_>-3
Hope this helps!!!!
Gerain is practicing his free throws at basketball practice he attempts 20 free throws and makes 13 baskets what percent of his attempts were baskets
what compatible number can you use to estimate 803÷86
if there are 15 cats in the apartment complex how many dogs are there
Answer:
Step-by-step explanation:
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. Suppose Salesmen A and B have the same number of sales and earn the same amount in Week 4 of this month. How many sales must they both have had?
Answer:
a0 - 0
a1 - 300
a2 - 900
a3 - 65
a4 - 340
a5 - 900
a6 - 650
a7 - 700
a8 - 900
Step-by-step explanation:
there you go
Based on the amount that both Salesmen A and B earn per sale, the number of sales they both had was 12 sales.
How many sales did Salesmen A and B have?Salesman A gets $65 per sale and Saleman B gets $300 and $40 per sale.
Assuming the number of sales to take them both to the same amount is x, the relevant formulas would be:
65x = 300 + 40x
Solving gives:
65x - 40x = 300
25x = 300
x = 300 / 25
= 12 sales
The amount that both of them earned is:
= 65 x 12
= $780
= 300 + 40 x 12
= $780
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a _____is a know size or amount that helps you understand another size or amount
Understanding size through known quantities in mathematics and utilizing conversion factors for unit conversions.
Size is a known size or amount that helps understand another size or amount. It is a visual variable conducive for quantitative attributes in various fields, such as mathematics and science.
In mathematics, known quantities can be used to determine unknown quantities through approximations and comparisons, such as estimating lengths or measurements based on familiar values.
Conversion factors are numbers that relate different units of measure for the same quantity, enabling easy conversions between units.
To find the area of a ____ multiply half the sum of the bases by the height
Answer:
trapezoid
.
Step-by-step explanation:
2 fourth common denominator
least common denomaitor of 1/3 and 1/5
Julie made a 3 ft. Long submarine sandwich. She is going to cut it into 5 equal length pieces. How long will each piece be?
which is a true statement about 7 and 14
find a fraction equivalent to 8/4 when added together it equals 84
PLZ help with 6th math homework!
What is 30,000 written in scientific notation?
A.
3.0 × 10–5
B.
3.0 × 10–4
C.
3.0 × 104
D.
3.0 × 105
I what fraction is represented by the tick mark labeled m
The tick mark labeled 'm' in a measurement can be considered a fraction over 1, and the unit 'meters' cancels out when present in both the numerator and denominator. This concept is also applied in metric unit conversions, where equivalent quantities yield a value of 1 after simplification.
Explanation:Fractions can often be used to express measurements, including those with units like meters (m). In the question provided, the measurement 3.55 m could be considered as a fraction by placing it over 1 (3.55 m/1). The abbreviation for meters appears in both the numerator and the denominator; hence, they cancel out in this fraction representation, which does not affect the measurement's value.
When performing unit conversions, the same concept is applied. For example, 1 m is equivalent to 100 cm, thus forming a fraction with 100 cm in the numerator and 1 m in the denominator (100 cm/1 m) would equate to 1 after canceling 'm' out since they represent the same length but in different units. This technique is particularly useful when converting between metric units, such as millimeters (mm) and meters (m), where the prefix 'milli-' means 1/1000, allowing us to rewrite the fraction with 1000 mm in the numerator (1000 mm/1m).
In the context of the provided example, the expression 0.00675 (0.15)m over 0.00300 (0.10)m can be simplified by canceling equivalent terms that appear both in the numerator and the denominator.
What is the value of a? 0.0482 − (−0.0091)= a
A color called "passion purple" is made by mixing 5oz of red paint with 9 oz of blue paint. What percent of passion purple is blue paint? (Round to the nearest percent)
Approximately 64% of the passion purple is blue paint, calculated by dividing the amount of blue paint by the total amount of paint and multiplying by 100%.
Explanation:To determine what percent of passion purple is blue paint, we calculate the ratio of the amount of blue paint to the total amount of paint used to make the color. We have 9 oz of blue paint and a total of 5 oz red paint plus 9 oz blue paint, which equals 14 oz of paint in total. The percentage of blue paint is therefore (9 oz blue paint / 14 oz total paint) × 100%.
Calculating this, we get:
(9 oz / 14 oz) × 100% = 0.642857 × 100% ≈ 64.29%After rounding to the nearest percent, approximately 64% of the passion purple paint is blue paint.
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Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w, that Chad washed for this customer?
5.5w + 3.25 = 27.5
5.5w - 3.25 = 27.5
5.5w = 27.5
5.5 - 3.25w = 27.5
5. Joe has a collection of 35 DVD movies. He received 8 of them as gifts. Joe bought the rest of his movies over 3 years. If he bought the same number of movies each year, how many movies did Joe buy last year?
A box contains n quarters and some dimes. The ratio of quarters to dimes is 1:2.
A) Write an expression for the total amount of money in the box.
B) If there are 12 quarters, find the total amount of money in the box.
The expression is 0.25Q + 0.1D dollars for the total amount of money in the box, where Q is quarters and D is a dime. The total amount of money in the box would be $5.40.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
A) Let Q be the number of quarters and D be the number of dimes in the box. We are given that the ratio of quarters to dimes is 1:2, which can be expressed as Q:D = 1:2. Since the ratio is equal, the fraction Q/D is equal to 1/2. We can write this relationship as:
Q/D = 1/2
To find the total amount of money in the box, we need to add the value of all the quarters and dimes. The value of all the quarters is 0.25 x Q dollars and the value of all the dimes is 0.1 x D dollars. The total amount of money in the box is, therefore:
0.25Q + 0.1D dollars
B) If there are 12 quarters in the box, we can plug this value into the expression from part A to find the total amount of money in the box:
0.25 x 12 + 0.1 x D = 3 + 0.1 x D dollars
Since we don't know the value of D, we cannot simplify this expression any further. However, we can use this expression to find the total amount of money in the box for any given value of D. For example, if there are 24 dimes in the box (2 times the number of quarters), the total amount of money in the box would be:
0.25 x 12 + 0.1 x 24 = 3 + 2.4 = $5.40.
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how is 1/2 plus 1/4 solved differently than 1/2 plus 1/3?
plz help fast?????
5x88x9x7x3x9x10x31x47=
Brian irons 2/9 of his shirt in 3 3/5 minutes. At this rate, how much of his shirt does he iron each minute?
Brian irons 1/16 of his shirt per minute.
Explanation:The question is about determining the rate at which Brian irons his shirts per minute. Given the fact that Brian irons 2/9 of his shirt in 3 3/5 minutes, we first convert 3 3/5 into an improper fraction, giving us 18/5 minutes. Dividing the fraction of the shirt he irons, 2/9, by the time it takes, 18/5, we get the fraction of the shirt Brian irons per minute.
To find this, we multiply 2/9 by the reciprocal of 18/5, which is 5/18, resulting in (2/9)*(5/18) = 10/162 shirts per minute. Simplifying this fraction, we find Brian irons approximately 0.062 shirts or about 1/16 of his shirt per minute.
This is an example of using rates and fractions in a real-world context to solve problems. Understanding how to manipulate and simplify fractions is crucial for solving these real-world math problems.
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