On the map, Winton ,California is located at(“ (2,10.5) in Lake Tahoe is located at (14,16). Each unit on the map equals 16.5 miles what is the approximate distance between the cities round to the nearest mile.
Answers
Answer:
The distance between the two
points on the map
is 225 units
Step-by-step explanation:
Firstly, we need to calculate the distance in units between the two locations on the map
What we have to use here is the distance formula
Mathematically, we have this as;
D = √(x2-x1)^2 + (y2-y1)^2
(x1,y1) = (2,10.5)
(x2,y2) = (14,16)
we have the distance as follows;
D = √(14-2)^2 + (16-10.5)^2
D = √(12^2 + 6.5^2)
D = √(186.25)
D = 13.65 units
now, from the question, 1 unit on the map represents a distance of 16.5 miles
thus, a distance of 13.65 units will be;
16.5 * 13.65 = 225.225
= 225 units
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Step-by-step explanation:
Jamal has two trails. the first trail is 5 1/3 miles long, and the second trail was 1 3/4 times as long as the first trail. how many miles did Jamal walk?
Answers
Answer:
The correct answer is Jamal hiked [tex]14\frac{2}{3}[/tex] miles.
Step-by-step explanation:
To solve this math problem, you will need to convert mixed numbered fractions, into improper fractions.
To do that, you will need to multiply the whole number with the denominator (Ex: 5 × 3 = 15), then when you receive the answer, add the answer with the numerator (Ex: 15 + 1 = 16), finally, you should receive a new answer, and to finalize the improper fraction, you always need to keep the denominator the same (Ex: The denominator is 3 so use the new answer as a numerator replacement. [tex]\frac{16}{3}[/tex])
--
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--
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--
Now add the number of miles of both trails.
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Answers
Answer:
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Step-by-step explanation:
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the desired element lies in the 3rd row and 1st column, and is 25.
Step-by-step explanation:
We are given a 3 by 3 matrix: There are 3 rows and 3 columns.
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Step-by-step explanation:
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Step-by-step explanation:
subtract the 2 and 3 and you got your answer.
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Answer:
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Step-by-step explanation:
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Answers
#1
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#2.
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#3
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Answer:
See belowStep-by-step explanation:
Given numbers:
-6, 3 and 5If we add these onto number line, we'll see them in same order from left to right.
We know the numbers increase from left to right on the number line, so the numbers to the left are smaller than the numbers to the right.
1.
-6 < 3, as -6 is to left from 32.
3 < 5, as 3 is to left from 53.
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Answer:
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Answer:
2. 3(6+4)
Step-by-step explanation:
3. The equation y = 19x describes the amount of money Jeff earns, where x is the number of hours he works and y is the amount of money he earns.
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Answers
#1
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As
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Graph attached
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The product of the two outside values is __.
Answers
Answer:
48 and 48
Step-by-step explanation:
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.
Aiden buys ice cream and apples at the store.
He pays a total of $15.05.
• He pays a total of $3.80 for the ice cream.
• He buys 3 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine x, how much each bag
of apples costs.
Answers
Answer:
Equation: y = 3x + 3.80
Cost of each bag: $3.75
Step-by-step explanation:
y = 3x + b
y = $15.05
x = cost of each bag
b = $3.80
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15.05 = 3x + 3.80
11.25 = 3x
3.75 = x
The equation to determine x is y = 3x + 3.8
and cost of each apple bag is $3.75.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now it is given that,
Total amount paid by Aiden = $15.05
Total amount paid for ice cream = $3.80
Number of bags of apple = 3
So if x is the amount of each apple bag and y is the total amount paid by Aiden,
So,Cost of apple bags = 3x
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or y = 3x + 3.8
this is the equation to determine x.
Now since, total amount paid is $15.05
⇒ 15.05 = 3x + 3.8
or,3x = 15.05 - 3.8
or 3x = 11.25
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⇒ x = $3.75
Thus,the equation to determine x is y = 3x + 3.8
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Could someone plss help witht this question.. due at 12
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Answers
Answer:
x = 12.2; angles are 77.6 and 102.4 total to 180
Step-by-step explanation:
The equations they are giving you for the two angles he was correct about. When a line intersects two parallel lines, the angles on the opposite sides of the transverse line will equal 180 degrees.
So those two equations when added together must equal 180 degrees.
(5x + 16.6) + (9x - 7.4) = 180
Rearrange the equation
5x + 9x + 16.6 - 7.4 = 180
Add the x values together and subtract the regular numbers
14x + 9.2 = 180
Subtract 9.2 from both sides
14x = 170.8
Divide both sides by 14
x=12.2
The top angle in your drawing is 5x + 16.6 or
5 ( 12.2) + 16.6 = 77.6 degrees
The bottom angle in your drawing is 9x - 7.4 or
9 ( 12.2) - 7.4 = 102.4
Both angles added together is 77.6 + 102.4 = 180
Answer:
×=25 ; angle = 107 degree
Step-by-step explanation:
if a transversal line intersect two parallel lines then the sum of two consecutive exterior angles is 180 degrees.
The two consecutive exterior angles are 3x+32 and x+48.
3x+32+x+48=1803x+32+x+48=180
4x+80=1804x+80=180
4x=180-804x=180−80
4x=1004x=100
x=25x=25
The value of x is 25.
The measure of two consecutive exterior angles are
3x+32=3(25)+32=1073x+32=3(25)+32=107
x+48=25+48=73x+48=25+48=73
The measure of the larger angle is 107 degrees.