Mr. Alan drove 2 1/5 hours at a speed of 70 kilometers per hour. He then drove another 224 kilometers. He took 5 hours for the whole journey. What was mr alan average speed for the whole journey?
To find the average speed for the whole journey, calculate the total distance traveled and total time taken. The average speed for Mr. Alan's whole journey is 75.6 km/h.
Explanation:To find the average speed for the whole journey, we need to calculate the total distance traveled and the total time taken. First, calculate the distance traveled during the 2 1/5 hours at a speed of 70 kilometers per hour:
Convert 2 1/5 hours to a mixed number: 2 1/5 = 11/5 hoursMultiply the time by the speed: 11/5 hours * 70 km/h = 154 kmNext, calculate the total distance traveled by adding the distance from the first part (154 km) to the additional distance of 224 km: 154 km + 224 km = 378 km
Finally, calculate the average speed for the whole journey by dividing the total distance by the total time taken: 378 km / 5 hours = 75.6 km/h
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why woould you use the associative property of multiplication to solve (10×4) ×2? how would you you regroup the factors?
Translate the following sentence into an equation: The sum of 23 and Victors height is 61. Use the variable v to represent Victors Height. Thank you!!!
Is The ratio 5 gallons in 10 minutes a rate?
Round 372,282 to the nearest 1000
my school has 950 students. they took a survey for the kids who got surveyed 76.2% liked wearing team shirts once a week and 5.2% did not 18.6% were indifferent if all were surveyed, how many would be in each category
27.64 x 3 estimate each product
To estimate the product of 27.64 and 3, round both numbers to the nearest whole number, then multiply them together.
Explanation:To estimate the product of 27.64 and 3, you can round both numbers to the nearest whole number. So, 27.64 is approximately 28 and 3 is still 3. Then, multiply 28 by 3 to get an estimated product of 84.
What is the Coefficient of 12r
A craft store retailer uses a markup rate of 65%. A scrapbook kit costs the retailer $20.
What is the selling price of the scrapbook kit?
A $13
B $33
C $98
D $130
The answer is B. I had it on a test, and if yours is the same this is the answer.
What is the equation of this line in slope-intercept form? y=−3x−1y=−3x−1 y=−13x−1y=−13x−1 y=3x−1y=3x−1 y = 3x + 1
Answer:
(y+1)=3(x-1)
Hope I helped!
Given: x + 5 ≥ 10. Choose the graph of the solution set.
The solution for the given inequality is x ≥ 5.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains some inequality sign.
Unlike a linear equation it can have a range of values in an interval.
The given inequality is as below,
x + 5 ≥ 10
=> x ≥ 10 - 5
=> x ≥ 5
The solution of the given inequality exists for all the values of x greater than 5.
The graph of the solution is given below,
Hence, the solution for the given inequality is x ≥ 5 and the graph has been shown clearly.
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what is the greatest common factor of 18 and 45
The greatest common factor between 18 and 45 is 9.
What is the highest common factor?The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.
In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.
The common factor of ;
18 ⇒ 1 , 2 , 3 , 6
45 ⇒ 1 , 3 , 5 , 9 , 15 ...
Prime factorization of 18 and 45
18 = 2 x 3 x 3.
45 = 3 x 3 x 5
So highest common factor is 3 x 3 = 9
Hence "The greatest common factor between 18 and 45 is 9".
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how are the terms difference,sum,quotient,and product alike?
The sum of the measures of the exterior angles of the decagon is ????
Final answer:
The sum of the measures of the exterior angles of a decagon is 360 degrees, as this is true for the exterior angles of any polygon.
Explanation:
The sum of the measures of the exterior angles of any polygon, including a decagon, is always 360 degrees (°).
This is because the exterior angles, one at each vertex, effectively 'walk around' the entire polygon, forming a complete circle.
For a decagon, which is a ten-sided polygon, despite having ten different exterior angles, when added together, they will sum up to 360°.
what is 1/2p plus 7 = 3/4p plus 9
(5h-4)-(h-5) combining like terms
in week 1, the total sales for a video game were 2,374,136. What percent of the total sales were from the us? round to the nearest whole percent
To find the percentage of sales from the US out of the total sales for a video game, divide the number of sales from the US by the total sales and multiply by 100. Rounded to the nearest whole percent, the answer is 8%.
Explanation:In order to find the percentage of total sales that were from the US, we need to know the sales specifically from the US. From the given options, let's consider option c, which states that 67,092 out of 823,356 sales were from the US. To find the percentage, we can divide the number of US sales (67,092) by the total sales (823,356) and multiply by 100. This gives us (67,092/823,356) * 100 = 8.147%. Rounding to the nearest whole percent, the answer is 8%.
How do you express 1 and 1/20 as a decimal?
The decimal representation is 1.05
What is decimal?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
Given
1 1/20 = (20+1)/20 = 21/20 = 1.05
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find each number. round to the nearest tenth if necessary. 65% of 186 =? how do i know if i have to round or not or do i round to the tenth on answer?
Answer: Round 65% to 70 then multiply and turn into a decimal or a fraction whichever you like
circle groups to show 4x(2x2).
Visualize 4 sets of circles: Each set consists of 2 large blue circles, each containing 2 smaller green circles. In total, there are 4 large blue circles and 8 smaller green circles, representing the result of multiplying 4 by the inner parenthesis (2x2).
Visualizing 4x(2x2) with Circles:
Representing the Inner Parenthesis (2x2):
Imagine two blue circles, side-by-side.
Inside each blue circle, draw two smaller green circles, also side-by-side.
This group of circles (two large blue circles, each containing two smaller green circles) represents the part inside the parenthesis, "2x2."
Multiplying by 4:
Imagine replicating the entire group of circles from step 1 four times.
You now have a total of four groups, each containing two blue circles with two green circles inside each.
Visualization Summary:
You should have a total of 16 circles:
4 large blue circles.
8 smaller green circles (2 inside each blue circle).
These circles are grouped into 4 sets, representing the multiplication of the entire parenthesis (2x2) by 4.
Which set of rational numbers is arranged from least to greatest?
A 1/5, −1.4,-1/2 , 3.
B 3,-1/2 , −1.4, 1/5.
C 3, 1/5 , −1.4, 1/2
D -1.4, -1/2, 1/5, 3
Divide decimals 1.52 / 1.9
Given:
[tex]\to \frac{1.52}{1.9}[/tex]
To find:
Divide decimals =?
Solution:
[tex]\to \frac{1.52}{1.9}= \frac{152 \times 10}{19 \times 100}[/tex]
[tex]= \frac{152 }{190 }\\\\= \frac{8 }{10 }\\\\=0.8[/tex]
Therefore the final answer is "0.8".
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if a tablet contains 750mg, how many gram will the patient take if the tablet is broken in two?
Half of a 750mg tablet is 375mg, which converts to 0.375g. This is calculated by dividing the milligram amount by 1000.
Explanation:If a tablet contains 750mg, and the tablet is broken in two, each half would contain half the amount of the original tablet. Since 750mg is equivalent to 0.75g, breaking the tablet in half would result in two halves, each with a mass of 375mg, or 0.375g. To convert from milligrams to grams, we use the conversion factor that 1 gram is equal to 1000 milligrams. Therefore, we divide the milligram amount by 1000 to get the equivalent in grams.
Example: If you have 375mg of a substance and want to convert it to grams, you would calculate 375mg ÷ 1000 = 0.375g. Thus, when the patient takes half of a 750mg tablet, they are taking 0.375g of the medication.
in a poll of travelers 85% said that traveling by air makes them nervous and 450 travelers said that it does not make them nervous. how many travelers were polled?
mr anderson wants to decorate six of his windows with garland. two of the windows are 5.4 feet by 6.2 feet and the other four windows are 3.5 feet by 4.5 feet. How many feet of garland are needed for all the windows?
between which pair of numbers is the exact product of 379 and 8.
So many answers possible.
Let us take, by numbers they mean integers.
Now, the product of 379 and 8 is 3032.
Clearly, on the number line, this number is between the numbers 3031 and 3033.
Hence, the exact product of 379 and 8 is between the pair of numbers 3031 and 3033.
Hope this makes sense.
Explain why the absolute value of a number is never negative.
Answer:
Sample Response: The absolute value of a number is the distance the number is from 0 on a number line. Since distance is never negative, absolute value is never negative.
Step-by-step explanation:
I took the assignment
at the market you can buy 5 bags of apples for 23.60 at the orchard you can get 7bags of apples for 32.76 which is the better deal?
The orchard offers the better deal with a price per bag of $4.68 compared to the market's price per bag of $4.72. We arrived at this conclusion by dividing the total cost by the number of bags at each location.
To determine which is the better deal for the bags of apples, we need to calculate the price per bag at the market and at the orchard. At the market, 5 bags of apples cost $23.60, so to find the price per bag, we divide $23.60 by 5.
Price per bag at market = $23.60 / 5 = $4.72
At the orchard, 7 bags cost $32.76, so we divide $32.76 by 7 to find the price per bag.
Price per bag at orchard = $32.76 / 7 = $4.68
Since the price per bag at the orchard is less than the price at the market, the orchard offers the better deal.
Tim is a first grader and reads 28 words per minute.Assuming he maintains the same rate.How many words can he read in 5 minutes?
a railroad car container can hold 42,000 pounds. Mr.Evans wants to ship 90 ovens and some freezers in the same container. If each freezer weighs 600 pounds, how many freezers can be shipped in the container? Explain
Answer:
40
Step-by-step explanation:
We are given that
A railroad container can hold weight=42,000 pounds
Total number of ovens for ship=90
Weight of each oven=200 lbs
Weight of each freezer=600 pounds
We have to find the number of freezer can be shipped in the container.
Let x be the number of freezer can be shipped in the container.
According to question
[tex]42000=90(200)+600x[/tex]
[tex]42000=18000+600x[/tex]
[tex]600x=42000-18000[/tex]
[tex]600x=24000[/tex]
[tex]x=\frac{24000}{600}=40[/tex]
Hence, 40 freezer can be shipped in the container.