Answer:
y=7.5x+25
Step-by-step explanation:
7.5x is the cost per person (average rate of change/slope)
25 is the y-intercept (the amout you start out with
and y is the total cost.
Rahmat wants to meet Ah Chong at his house. He has two options, whether via the road by walking 195 m to west and 28 m to north or he can pass through a field directly to Ah Chong's house. Which option is faster to Ah Chong's house? Then, find the difference between the distance via the road and through the field.
Answer:
197 m26 mStep-by-step explanation:
Use Pythagorean to find the distance through the field:
[tex]d = \sqrt{195^2+28^2} =\sqrt{38809} =197[/tex]Difference between two options:
(195 + 28) - 197 = 26 mAnswer:
It is faster to walk through the field and directly to Ah Chong's house.
The difference between the distance via the road and through the field is 26 m.
Step-by-step explanation:
The scenario can be modeled as a right triangle (see attached diagram).
Option 1Walk 195 m west and 28 m north.⇒ Total distance = 195 + 28 = 223 m
Option 2Walk directly to Ah Chong's house through the field.To calculate this distance (hypotenuse of the right triangle), use Pythagoras Theorem.
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.[tex]\implies 195^2+28^2=c^2[/tex]
[tex]\implies c^2=38025+784[/tex]
[tex]\implies c^2=38809[/tex]
[tex]\implies c=\sqrt{38809}[/tex]
[tex]\implies c=197[/tex]
Therefore, the distance for option 2 is 197 m.
DifferenceOption 1 - Option 2 = 223 - 197 = 26 m
ConclusionAs 197 < 223, it is faster for Rahmat to walk through the field and directly to Ah Chong's house (option 2).
Learn more about Pythagoras Theorem here:
https://brainly.com/question/27648540
https://brainly.com/question/27988757
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Given: -3x + y = 1.
Write the equation in general form Ax + By + C =0.
3x - y = -1
3x - y + 1 = 0
-3x + y - 1 = 0
find the value of 3a + 4b when a=19 and b=9
Answer:
3x19+14x9
183
Step-by-step explanation:
Given that r varies directly as t^3, and r=54 when t=3. Find t when r=250
Answer:
t = 5
Step-by-step explanation:
Given r varies directly as t³ then the equation relating them is
r = kt³ ← k is the constant of variation
To find k use the condition r = 54 when t = 3 , then
54 = k × 3³ = 27k ( divide both sides by 27 )
2 = k
r = 2t³ ← equation of variation
When r = 250 , then
250 = 2t³ ( divide both sides by 2 )
125 = t³ ( take cube root of both sides )
[tex]\sqrt[3]{125}[/tex] = t , that is
t = 5
memona has a 6kg sack of rice and some empty bags. she fills each bag with 475 grams of rice from the sack. how many bags can memona completely fill with rice?
Answer:
1500
Step-by-step explanation:
1000×6÷4
250×6
1500
All changes saved
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4. Eric is helping his younger sister learn division. He is having a hard time explaining what a remainder is. Help Eric out by describing
what a remainder is in your own words. What is the remainder when 76 is divided by 3?
Answer:
You'd get 25.3333 or you could also express 76/3 as a mixed fraction: 25 1/3.
↑
the arrow pointing shows what the remainder means
remainder is the one which is down
I need help with my math
Answer:
Find the point of intersection of the graphs of the equations.
Step-by-step explanation:
that's the answer
keep on leaning math
Did you mention that multiplication is a shortcut for repeated addition?
Step-by-step explanation:
yes, in a similar way as division is a shortcut for repeated subtraction.
you do know, that you normally have to add the points win in a game, right ?
so, your score grows by 200 points each time you score.
that means
200
200
200
...
200
what do you think you do to get the total ? you add all the points.
you don't multiply them, because e.h 200×200 would be the shortcut of adding 200 for 200 times.
but you did not have 200 hits, you only got 12 hits.
so, you either do the effort of adding 200 12 times, or you simply multiply 200 by 12 (as this is the mentioned shortcut).
and you don't just add 12 to 200. that would give you only 212. and you did not earn 12 points to add. you earned 12 times 200 points to add.
that is how multiplication works and helps with additions.
Answer:
its yes
bc yeah just......do it
What are the slope and y-intercept of the line? Question 2 options:
Slope = 6, y-Intercept = 170
Slope = -170, y-Intercept = 1020
Slope = 1020, y-Intercept = -170
Slope = 170, y-Intercept = 6
Answer: SLOPE=-170, Y-INTERCEPT = 1020
Step-by-step explanation:
Calculate the slope: Take any two points and find the changes in x and y:
I'll use (4, 340) and (6, 0):
Change in y (the rise) is (0 - 340) = -340.
The change in x is (6-4) = 2
The slope is the rise (y) over the run (x): -340/2 or -170.
The y-intercept is the value of y when x=0. The f=-data provided has a value for y at x=0: (0,1020). So the interecpt is 1020.
please help me and thank you
Answer:
the location of Y is 9.5
Step-by-step explanation:
-7+26 = 19
19/2 = 9.5
Step-by-step explanation:
Y = (Z + X) ÷ 2
Y = (26 + (-7) ) ÷ 2
Y = 19 ÷ 2
Y = 9,5
Location of Y = 9,5
Sorry if its wrong ^.^
Someone please help me i need to finish this by tonight.
Answer:
Step-by-step explanation:
Please solve using the image. No links.
Answer:
(A) True. False. True.
(B) 4
Step-by-step explanation:
What is the name of the property illustrated below?
3(x+4)=(x+4)+3
a :associative property of addition
b :commutative property of addition
c: associative property of multiplication
d: commutative property of multiplication
Step-by-step explanation:
I think you made a mistake with the equation.
because that property, that you presented, did not exist.
but
3(x+4) = (x+4)3 exists
and it is the commutative property of multiplication (a×b = b×a).
1) Given any logarithmic equation of the form logo x = y, what is the restriction on "x" and why?
Answer:
x=(h)
Step-by-step explanation:
Write a polynomial function of the least degree that has roots of 3 and (4 + i).
Answer:
your answer is 4+3
Step-by-step explanation:
which of the following is the value of the expression x^2+4/2 when x=-2
Answer:
6
Step-by-step explanation:
x^2 + 4 ÷ 2
-2^2 + 4 ÷ 2
4 + 4 ÷ 2
4 + 2
6
What is the missing side length of a right triangle with legs 4 and 6 centimeters
Answer:
7.21 cm.
Step-by-step explanation:
4² + 6² = x²
16 + 36 = x²
52 = x²
[tex]\sqrt{52} = x[/tex]
7.21 cm.
Check
The third side of a triangle is greater than the difference and less than the sum of the lengths of the two given sides. 6 - 4 = 2 and 6 + 4 = 10
So the third side is between 2 and 10.
Savannah earns $247. 00 how many hours did she work.
Answer:
56
Step-by-step explanation:
1. 8.25
2. Savannah
3.
Earnings of Savannah: $190
Earnings of Greg: $180
Earnings of Kevin: $165
4. 26 Hours
5. 55.55 hours (or 56 hours)
Irma is just learning to play the Happy Fairies video game. In the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens. Irma had a total of
–
5 points. Then, her fairy house fell over in the wind and she got
–
3 points.
How many total points does Irma have now?
Irma has a total point of -8 now.
What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
Given that, Irma is just learning to play the Happy Fairies video game.
In the game, based on the taking care of fairies, players gain and lose points.
Initial point Irma had = -5 points
Fairy fell over in the wind and she got -3 points.
Final point = -5 + -3
= -5 - 3
= -8
Hence the total points now is -8.
To solve more problems on addition, click :
https://brainly.com/question/29560851
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Find the l.c.m of 200 and 45
Answer:
the lowest common multiple of the above numbers is 1800
Step-by-step explanation:
list all multiples of the given numbers and look which number is common in both numbers and find the lowest one
Sorry if it’s low quality but I need a little help with this question.
Answer:
340 in.
Step-by-step explanation:
L x W x H
17 x 4 x 5 = 340
Emily buys 3 pencils for 51p
Work out the price of 4 pencils.
Answer:
68pStep-by-step explanation:
Emily buys 3 pencils for 51p
Work out the price of 4 pencils.
51 : 3 * 4 = 68p
Answer:
68
Step-by-step explanation:
We can write a ratio to solve
3 pencils 4 pencils
------------- = -------------
51 p x
Using cross products
3x = 51*4
3x = 204
Divide by 3
3x/3 = 204/3
x = 68
Find the social security tax deducted for each weekly paycheck of $237.
Answer:
$14.70
Step-by-step explanation:
find the equation of a line , in Slope intercept Form , that has a slope of 3 and passes through the point (-4,2).
Answer:
y = 3x + 14
Step-by-step explanation:
Slope: 3
y-intercept: 2 - (3)(-4) = 2 + 12 = 14
Question 1-2
1
Tom walks 1 mile in
of an hour. Kyle walks 4 miles in
4
of an hour.
5
Who walks at a faster speed, Kyle, Tom, or neither?
Answer:
460 feet
Step-by-step explanation:
look at the picture
PLEASE HELP ASAP!!!!!
Answer:
x = 11
Step-by-step explanation:
180°( n - 2 ) ÷ n
~~~~~~~~~~
( 7x + 31)° = 180°( 5 - 2 ) ÷ 5
7x + 31 = 108
7x = 77
x = 11
Nobody is answering :( so please help (show work) NO LINKS
Answer:
dam I'll try to find the. answer 4 u
Kate Sanders, a researcher in the department of biology at IPFW University, studied the effect of agriculture contaminants on the stream fish population in Northeastern Indiana (April 2012). Specially designed traps collected samples of fish at each of four stream locations. A research question was: did the differences in agricultural contaminants found at the four locations alter the proportion of the fish population by gender? Observed frequencies were as follows.a. Focusing on the proportion of male fish at each location, test the hypothesis that the population proportions are equal for all four locations. Use a .05 level of significance. What is the p-value and what is your conclusion?b. Does it appear that the differences in agricultural contaminants found at the four locations altered the fish population by gender?
Answer:
H0 : population proportion are equal
H1: population proportion are not equal
0.4779 > 0.05
Step-by-step explanation:
Which in fraction reprecent 80%
Answer:
answer is 4/5
