A road map has a scale of 1:20000 on the map a road has a length of 4cm work out the actual distance five your answer in metre
To determine the actual distance of a 4 cm road on a map with a 1:20000 scale, multiply the map measurement by the scale factor to get 80000 cm, then convert it to meters to obtain an actual distance of 800 meters.
Explanation:To work out the actual distance of a road on a map that has a scale of 1:20000, you need to convert the map length to the actual length. If the road measures 4 cm on the map, you would use the following steps:
Determine the scale ratio, which is 1 cm on the map represents 20000 cm in reality.Multiply the map distance by the scale factor. In this case:Therefore, the actual distance of the road is 800 meters.
-1/5 of a number is n is at least 17
A shopping company charges $3.50 plus $0.85 per pound to ship a package. Janet shipped a package and the total charge was $8.60. Write and solve an equation to find the weight of the package.
Based on the information, the weight of the package is approximately 6 pounds.
How to calculate the weightAccording to the given information, the shopping company charges $3.50 as a base fee and an additional $0.85 per pound to ship the package.
The total charge for shipping the package, which is $8.60, can be expressed as:
$3.50 + ($0.85 * w) = $8.60
To find the weight of the package, we need to solve this equation for "w". Let's solve it step by step:
$0.85 * w = $8.60 - $3.50
$0.85 * w = $5.10
Now, we can isolate "w" by dividing both sides of the equation by $0.85:
w = ($5.10) / ($0.85)
w ≈ 6
Therefore, the weight of the package is approximately 6 pounds.
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The probability that an event will occur is fraction 7 over 8. Which of these best describes the likelihood of the event occurring? Likely Certain Unlikely Impossible
Since 7/8 are quite likely, solution A is the right choice. But it's not certain. It has a 12.5% probability of happening.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, The probability that an event will occur is fraction 7 over 8.
Adjectives include likely and unlikely. When something is likely to occur or is likely to occur, it signifies that it is most likely to occur or that it is anticipated to occur. If something is improbable to occur or unlikely to happen, it suggests that it is most likely not going to.
Likely means there's a big chance that an event will happen. Certain means an event is going to happen, for sure. It will always happen.
In our case,7/8 is very likely. It isn't certain though. There is a 12.5 % chance that it can occur.
therefore, A is the correct answer because 7/8 is very likely. It isn't certain though. There is a 12.5 % chance that it can occur.
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Andrea’s backyard is 400 square feet. Her rectangular swimming pool is 10 feet long, and six feet wide. What is the area of Andrea’s backyard, not including the swimming pool?
Answer: The answer is 340
Step-by-step explanation:
You have to first find the area of the swimming pool 60 then you subtract it by the backyard 400 so you would get 340.
Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. The test scores are listed below. 79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85 Which of the following expressions could be used to find how many students scored less than a 90 on the test?
3 + 44 + 63 + 4 + 63 + 4 + 6 + 1
Answer:
The answer is 3 + 4 + 6
There are 13 numbers that are lower than 90, and 3 + 4 + 6 is the correct expression because 3 + 4 + 6 = 13.
I did this on my lesson and I got it right.
WXYZ is an isosceles trapezoid with legs WX and YZ and a base XY. If the length of WX is 6x+5, the length of XY is 10x+4 and the length of YZ is 8x-3, find the VALUE OF Y.
Given is an isosceles trapezoid WXYZ such that WX and YZ are legs of trapezoid with base XY. Also given are the measurements of trapezoid as follows :-
Legs WX = 6x + 5 and YZ = 8x - 3
Base XY = 10x + 4
we know the fact :- "For an isosceles trapezoid, its legs are congruent".
If it is asking for value of the variable 'x', then we can set the expressions of its legs equal and solve for x.
Leg WX = Leg YZ
6x + 5 = 8x - 3
8x - 6x = 5 + 3
2x = 8
x = 4
so, x = 4 would be the answer.
If it is asking for value of base XY, then we could plug the value of x in the expression of XY and compute.
Base XY = 10x + 4
XY = 10(4) + 4
XY = 40 + 4
XY = 44
so, base XY = 44 would be the answer.
Use algebra tiles to model and solve x+5=3x-1
8 pounds 4 ounces = how many ounces
Felicia bought 4 buckets of popcorn at the movies if she paid a total of $15 how much is one bucket of popcorn?
rename each mixed number as an equivalent mixed number with the same denominator. 4 6/9= 7 5/3= 3 7/8= 5 19/14=
To rename mixed numbers with the same denominator, we simplify the fractions where the numerator is larger than the denominator by dividing the numerator by the denominator and expressing the remainder as a fraction. The simplified mixed numbers for the examples are 4 6/9, 8 2/3, 3 7/8, 6 5/14.
Explanation:Renaming Mixed Numbers To Have The Same DenominatorTo rename each mixed number as an equivalent mixed number with the same denominator, you first must understand that the denominator is the bottom number in a fraction. To make two fractions have the same denominator, you need to find the least common denominator (LCD). The LCD is the least common multiple of the two denominators.
Let's walk through on how this works for the provided numbers:
4 6/9: The fraction here is already simplified. So, it remains the same, i.e., 4 6/97 5/3: Here, the numerator is larger than the denominator. So, we simplify the fraction 5/3 by dividing 5 by 3 which gives 1 remainder 2. So, it becomes 7 1/3 + 2/3 and further simplifies to 8 2/3.3 7/8: The fraction here is already simplified. So, it remains the same, i.e., 3 7/85 19/14: Here, the numerator is larger than the denominator. So, we simplify the fraction 19/14 by dividing 19 by 14 which gives 1 remainder 5. So, it becomes 5 1/14 + 5/14 and further simplifies to 6 5/14.So, the mixed numbers with the same denominator are 4 6/9, 8 2/3, 3 7/8, 6 5/14.
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complete the following math problem
3+6×3=
Why is #1-3 still wrong?
{(6,-6), (7, -6), (8, -6), (9,-6)}
EXPLAIN whether or not the following relations is a function.
the seven houses on Kent lane are numbered from 1 to 7 .the local newspaper choose two of the houses at random to receive a free Sunday paper. What is the probability that house 6 and 7 receive the free paper
Show 39c in two ways
If m BOC = 30°, then m CAB = degrees
Answer: It's 330
Step-by-step explanation:
Answer:
The answer is 330.
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a science museum has a scale model of a ladybug in the model 50 cm represents 9 mm the length of the model is 1 m how long is the actual ladybug
a bag of 5 lemons costs £1
a bag of 4 oranges costs £1.80
How much more does one orange cost than one lemon?
simplify the product 7x(x+4)
a bottle of hand lotion is on sale for $2.25 . If this price represents a 50% discount from the original price , what is the original price to the nearest cent ?
Answer:
$4.50
Step-by-step explanation:
Since there is a 50 % discount on the price, the new price is 100 % − 50 % = 50 % of the original price.
Let the original price be x . Then we have:
x ⋅ 50 % = $ 2.25
x ⋅ 1 2 = $ 2.25
x = $ 2.25 ⋅ 2 =
$ 4.50
So, the bottle of hand lotion's original price was $ 4.50 .
solve 12x - 14 = 16x
Explain how the scale factor is calculated and how the numerical value of the scale factor differs for enlargements and reductions.
Answer: The scale factor is the ratio of the scale figure dimensions to the original dimensions. The scale factor for an enlargement is a number greater than 1. The scale factor for a reduction is a decimal or fraction between 0 and 1.
HOPE THIS HELPS!!!!
Answer:
According to the scale factor, the original dimensions are smaller than the scaled figures. An enlargement's scale factor is a number greater than one. A reduction's scale factor is a decimal or fraction between 0 and 1.
Step-by-step explanation: changed up the sample answer ^^
which is better to buy?
1 lb of walnuts for $3.49
or
10 oz of walnuts for $2.49
Rectangle???ABCD has vertices A(8, 5) , B(8, 10) , C(14, 10) , and D(14, 5) . A dilation with a scale factor of 1.2 and centered at the origin is applied to the rectangle. Which vertex in the dilated image has coordinates of (9.6, 6) ?
A???
B???
C???
D???
A (8, 5)
hope this helps!
Approximate the length of the diagonal of the square to the nearest tenth. the square sides are 6
Can I please have help?
massimo has $90 in the bank. Every time he rides the buss he spends $2.50. write and solve an equation that massimo can use to see how many times he can ride the bus.
Which expression would you use to find the number of outcomes for flipping 4 coins?
Answer:
[tex]2^4[/tex].
Step-by-step explanation:
If we flip a coin then we have two possibilities, i.e., head or tail. So,
Number of outcomes for flipping a coin = 2
If n coins are tossed, then the total number of outcomes is defined by the expression [tex]2^n[/tex].
It is given that the number of coins is 4.
Number of outcomes = [tex]2^4=2\times 2\times 2\times 2=16[/tex]
Hence, he required expression is [tex]2^4[/tex].
A rowing team is practicing on a river. When the boat travels downstream, the current increases the speed of the boat. But when the boat travels upstream, the current decreases the speed of the boat. The team wrote a system letting s represent the speed in calm water and c represent the speed of the current. They found the solution for the system (s, c) to be (14, 6). How fast was the team traveling upstream and downstream?
A. The team traveled at 6 km per hour upstream and 14 km per hour downstream.
B. The team traveled at 14 km per hour upstream and 6 km per hour downstream.
C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.
D. The team traveled at 20 km per hour upstream and 8 km per hour downstream.
Final answer:
The team traveled at 8 km per hour upstream and 20 km per hour downstream. Downstream speed is calculated by adding the speed of the boat in calm water to the speed of the current (s + c), and upstream speed by subtracting the current speed from the boat's speed (s - c).
Explanation:
The student is asking about the speeds a rowing team would travel when going upstream and downstream in a river. The system of equations they've solved has given a solution for the speed in calm water, represented by s, and the speed of the current, represented by c, as (14, 6). To find the speed of the team traveling upstream and downstream, we use these values in conjunction with the direction of the current.
When traveling downstream, the current adds to the speed of the boat in calm water, so you would add the speed of the boat and the speed of the current: s + c. This equates to 14 km/h (speed in calm water) + 6 km/h (speed of current) = 20 km/h downstream.
Conversely, when traveling upstream, the current subtracts from the speed of the boat in calm water, so you would subtract the speed of the current from the speed of the boat: s - c. This is 14 km/h (speed in calm water) - 6 km/h (speed of current) = 8 km/h upstream.
Therefore, the correct answer is: C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.