Answer:
37.5 miles per gallon
Step-by-step explanation:
450/12 =37.5
this is around about how much it is
Answer:
37.5mi/g
Step-by-step explanation:
So if she's going 950mi total with a 12g tank, and is almost empty at 450mi, you would do 450mi / 12g which would be 37.5mi/g
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
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 ^.^
Please solve using the image. No links.
Answer:
(A) True. False. True.
(B) 4
Step-by-step explanation:
3.5 m
4 m
4 m
4 m
5 m
What is the total surface area of the prism?
Answer:
51m²Step-by-step explanation:
find the area of the big rectangle and add the double area of a triangle, they are the same so it is as if you have the area of both
[(4+4+4)*5] + (4*3.5)=
8 * 5 + 14 =
40 + 14 =
51m²
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
find the value of 3a + 4b when a=19 and b=9
Answer:
3x19+14x9
183
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:
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.
I will put brainly just helppppppppppppppppppppppppppppppppppppppppppppp
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
No Links pls! Is this function linear or nonlinear?
y=3x-5
find the highest common factor (H.C.F)of Prime factor and common factor
8 and 12
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
Help pls
Help pls
Help pls
Answer:
seems like its so hard bye
Find the social security tax deducted for each weekly paycheck of $237.
Answer:
$14.70
Step-by-step explanation:
Which in fraction reprecent 80%
Answer:
answer is 4/5
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).
look at the picture
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:
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
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:
My teacher makes us read the book to learn and the book doesnt show how to solve something like this
If the mean score is 55% and the s.d. is 15%, then a test score of at least
55% + 1.5 × 15% = 77.5%
falls in the A range.
The next cutoff score is 0.5 s.d. from the mean, which is
55% + 0.5 × 15% = 62.5%
so any test score between 62.5% and 77.5% is in the B range.
The next cutoff is
55% - 0.5 × 15% = 47.5%
so a score between 47.5% and 62.5% gets a C.
The lower limit of the next range is
55% - 1.5 × 15% = 32.5%
so 32.5% - 47.5% gets a D.
Anything lower than 32.5% is an F.
Graph the line with the equation y = -x - 3.
Answer:
Step-by-step explanation:
[tex]y=-x-3[/tex]
This means a graph with a slope of -1, and a y-intercept of -3
PLS HELP ME WITH THIS QUESTION.I AM LITERALLY DYING!!I WILL GIVE BRAINLIEST AND 45 POINTS!!The following equation is an example of a literal equation. 2 ( x + a ) = 4 b A. Solve the given equation for the variable a . In your final answer, include all of your work. B. In two or more complete sentences, explain the specific process that you followed in solving
[tex]Let's solve for a.2(x+a)=4bStep 1: Add -2x to both sides.2a+2x+−2x=4b+−2x2a=4b−2xStep 2: Divide both sides by 2.\frac{2a}{2} =\frac{4b-2x}{2} \\a=2b-x\\Answer:a=2b−x[/tex]
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)
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:
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
The temperature of a substance in an experiment changes by -7.5°F from 8 a.m. to 2 p.m. At 5 p.m., the temperature is 43.5°F. It is 1/3 of what the temperature was at 2 p.m. What was the temperature at 8 a.m. of the substance?
Answer:
ok
Step-by-step explanation:
Answer:
138* F
Step-by-step explanation:
If 43.5 is 1/3 of what it was at 2 p.m. then we need to multiply the equation by three where we get 130.5. Since it changed by -7.5 we have to add 7.5 to get our final answer of 138 degrees at 8 P.M.
What is the least common
multiple of 23 and 92?
Answer:
92
Step-by-step explanation:
23: 23, 46, 69, 92
92: 92
Answer:
92
Step-by-step explanation:
92 is a multiple of 23
23(4)=92
92 is the smallest number that both 92 and 23 will go into.
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
