Divide 5821 by 71
Round the number to the nearest hundred
5821 ÷ 71 → 5800 ÷ 70
Calculate mentally.
58 ÷ 7=8.2
Estimated quotient = 8
clay is reading a map to decide his vacation route. The map has a scale of 1cm equals 18miles. If he estimates the length of his vacation route on a map is 14 centimeters what is the length in miles
Using the map scale of 1cm equals 18 miles, the actual length of Clay's vacation route is calculated as 252 miles by multiplying 14 centimeters (the length on the map) by 18 miles (the scale conversion factor).
Clay is using a map scale to plan his vacation route. The scale of the map is given as 1cm equals 18 miles. To calculate the actual length of Clay's vacation route in miles, we can set up a simple proportion. Since 1cm on the map represents 18 miles in reality, we multiply the length on the map, which is 14 centimeters, by 18 to find out how many miles this length represents:
Length in miles = 14 cm * 18 miles/cm
After performing the multiplication, we get:
Length in miles = 252 miles
Therefore, Clay’s vacation route is 252 miles long according to the map's scale.
Which is the solution to the equation 2.6a + 18.4 = 28.8 round the nearest tenth if necessary. 1.4, 4, 18.2, 27
Answer:
Your answer is B=4
Step-by-step explanation:
hope it helps once again
A single 6-sided die is rolled twice. find the probability of getting a 55 the first time and a 11 the second time. express the probability as a simplified fraction.
a cereal box contains 15 3/4 ounces of cereal. If a bowl holds 2 2/5 ounces of cereal how many bowls are in 1 box
Given the equation D =m/v if D=2/3 and v=m+1., then m=
-3
2
1
Assume that the distance from Earth to the moon is exactly 238,855 miles and that it took astronauts 75 hours to reach the moon in 1969. How far did the astronauts travel each hour, on average, during their trip to the moon? 3,004.73 miles mc026-1.jpg miles 3,317.4305 miles mc026-2.jpg miles
On average during their trip, their speed was 3184.8 miles/hr.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know Distance = Speed×Time.
∴ Speed = Distance/Time.
Given, The distance from Earth to the moon is exactly 238,855 miles and it took astronauts 75 hours.
So, the average speed is (238855/75) miles/hr.
= 3184.8 miles/hr.
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Which equation represents a linear function? A) y – 2 = –5(x – 2) B) x + 7 = –4(x + 8) C) y – 3 = y(x + 4) D) y + 9 = x(x – 1)
i believe its the option A
Find the volume of the solid whose base is the circle x^2+y^2=81 and the cross sections perpendicular to the x-axis are triangles whose height and base are equal.
Find the area of the vertical cross section A at the level x=6.
The volume of the cone will be 1526.8 cubic units. The area of the vertical cross-section A at level x = 6 will be 72 square units.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The equation of the base circle is given below.
x² + y² = 81
x² + y² = 9²
Then the radius of the circle is 9 units. Then the height of the cone is the same as the diameter of the circle.
h = 2r
h = 2 x 9 = 18
The volume of the cone will be
V = (1/3)πr²h
V = (1/3) × π × 9² × 18
V = 1526.8 cubic units
The area of the vertical cross-section A at the level x = 6 will be
A = (1/2) x (18 - 6) x (18 - 6)
A = (1/2) x 12²
A = (1/2) x 144
A = 72 square units
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Evaluate 4x-3 when x=_3
To evaluate the expression 4x-3 for x = -3, we substitute -3 into the expression and follow the order of operations, resulting in a value of -15.
Explanation:To evaluate the expression 4x-3 when x is -3, we simply substitute -3 in place of x and calculate the result as follows:
Replace x with -3: 4(-3) - 3.Multiply 4 by -3: -12 - 3.Finally, subtract 3 from -12 to get: -15.Therefore, evaluating 4x-3 when x is -3 gives us -15.
A total of 29,183 votes were casted I’m an election. The winning candidate in the election received 61.3% of the votes. Which of the following is closest to the number of votes received by the winning candidate
please help me with this problem
which is the smallest number? 3/4,1/5,10/23,2/31
The answer because I don’t know it
What is the unit rate 3 for $5 4 for$6
which of the following shows a strategy to use to find 4x275 (4x300)+(4x25)
(4x300)-(4x25) (4x275)-100 (4x200)+75
The correct strategy is (4x275) - 100. So option (3) is correct.
To find 4 multiplied by 275 using the given strategies, let's go through each one:
1. (4x300) + (4x25):
First, calculate (4x300) = 1200. Then, calculate (4x25) = 100. Finally, add these results together: 1200 + 100 = 1300.
2. (4x300) - (4x25):
Calculate (4x300) = 1200. Then, calculate (4x25) = 100. Now, subtract the second result from the first: 1200 - 100 = 1100.
3. (4x275) - 100:
Simply multiply 4 by 275 to get 1100. Then, subtract 100: 1100 - 100 = 1000.
4. (4x200) + 75:
Calculate (4x200) = 800. Then, add 75: 800 + 75 = 875.
The correct strategy is the third one: (4x275) - 100.
Detailed Calculation:
1. [tex]\(4 \times 275 = 1100\)[/tex]
2. [tex]\(1100 - 100 = 1000\)[/tex]
So, using the strategy of (4x275) - 100, the result is 1000.
Find the quotient 4/6÷4/12
rewrite 8/9 with a denominator of 63
Final answer:
To rewrite the fraction 8/9 with a denominator of 63, multiply both the numerator and denominator by 7 to get 56/63.
Explanation:
To rewrite 8/9 with a denominator of 63, you need to find a number that you can multiply both the numerator (8) and the denominator (9) of the original fraction by, so that the denominator becomes 63. To do this, divide 63 by the original denominator, 9, which gives you 7. Thus, the number you need to multiply by is 7.
Multiply both the numerator and the denominator by 7:
Numerator: 8 times 7 = 56
Denominator: 9 times 7 = 63
Therefore, the fraction 8/9 with a denominator of 63 is 56/63.
The sum of the square of two consecutive whole number is 25. Find the numbers
Write the equation of a vertical line containing (5,-8)
Brooke bought all seven members of her family a chocolate bar at the chocolate factory in Hershey, Pennsylvania. Each chocolate bar was .8 ounces. How many ounces of chocolate did Brooke buy?
3. Find the scale factor using the given scale drawings and measurement below
The question asks to find the scale factor for given scale drawings and measurements. A scale factor is computed by creating a ratio comparing the measurement of the scale drawing to the actual measurement, simplifying that ratio to find the scale factor.
Explanation:The subject of the question is concerned with finding the scale factor from a given scale drawing and measurements. In mathematics, particularly in geometry, a scale factor is used to transform the size of a figure without altering its shape.
Step-by-Step ExplanationTo find the scale factor for each given scale drawing, you will need to create a ratio or a fraction that compares the scale measurement to the actual measurement. Here’s how you might solve one of the problems:
Example: What is the scale factor if 3 inches is equal to 12 feet?
Solution:
Convert all measurements to the same unit, for instance, turn feet into inches (1 foot = 12 inches).Write the ratio of the scale drawing to the actual measurement.Reduce the ratio to its simplest form to find the scale factor.On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(4, 3), and C(2, −1). A bank employee drives from Branch A to Branch B and then drives halfway to Branch C before getting stuck in traffic. What is the minimum total distance the employee may have driven before getting stuck in traffic? Round to the nearest tenth of a mile if necessary.
Write ratio in simplest form
6:3/5
The value V of a square glass varies directly as the square of its length X cm. If the value of a square glass with length 3 cm is $243, find the value of a glass with length 5 cm
The value V of a square glass varies directly as the square of its length X cm. This means that V is proportional to [tex]X^2[/tex], which can be expressed as:
[tex]\[ V = kX^2 \][/tex]
where k is the constant of proportionality.
Given that the value of a square glass with length 3 cm is $243, we can use this information to find the constant k:
[tex]\[ 243 = k(3)^2 \][/tex]
[tex]\[ 243 = 9k \][/tex]
[tex]\[ k = \frac{243}{9} \][/tex]
[tex]\[ k = 27 \][/tex]
Now that we have the value of k, we can find the value of a glass with length 5 cm by substituting X = 5 into the original equation:
[tex]\[ V = 27(5)^2 \][/tex]
[tex]\[ V = 27 \times 25 \][/tex]
[tex]\[ V = 675 \][/tex]
Therefore, the value of a glass with length 5 cm is $675.
The answer is: 675.
Find the largest odd number that divides the product of 16*24*60 evenly
If a project is handed in late you receive 8/9 of your earned points. You received 72 points on your late project. How many points did you lose
In this situation, because the project was handed in late, you lost a total of 9 points. The full score was 81, and you got 72 after a deduction.
Explanation:The principal in this problem is understanding proportion. Given that handing in a project late results in receiving 8/9, or approximately 88.88%, of the total points, we'll figure out the total possible score by dividing the received points (72) by the portion of the full score you got for handing in the project late, which is 8/9. So, 72 ÷ 8/9 = 81. This would be the original points you could have received. You can then subtract the received points (72) from the original points (81) to ascertain the number of points lost. Therefore, 81 - 72 = 9. Consequently, you lost 9 points because the project was handed in late.
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Tom received a coupon in the mail for 30%off one regular priced item for a local sporting goods store He wishes tp purchase a soccer ball for 22.50 and shin guards for 17.00 which item would he use his coupon justify your answer by comparing the discount taken for each item
it should be used on the higher priced item to get a bigger discount.
So it should be used on the soccer ball
soccer ball: 22.50 * 0.30 = 6.75 discount
shin guards: 17.00 * 0.30 = 5.10 discount
6.75 is greater than 5.10
How are the variables on the graph related?
Answer choices:
A. As speed decreases, height stays constant.
B. As speed decreases, height increases.
C. As speed increases, height decreases.
D. As speed increases, height increases.
A 1950 kg car moves with a velocity of 11 m/s. What is its kinetic energy? Joules
The Red Sox have won 3 World Series titles in the last 11 years. At this rate, how long will it take them to win 20 World Series?