Answers
.. A = w +7 . . . . . . . Angelo's distance goes up 1 mile/week each week
.. M = 2w +4 . . . . . Marc's distance goes up 2 miles/week each week
a) A = M
.. w +7 = 2w +4
.. 3 = w . . . . . . . . . . subtract w+4
After 3 weeks Angelo and Marc will be running the same distance.
b) A = M = 3+7 = 2*3+4 = 10
That distance will be 10 miles per week.
_____
This problem can be a little confusing because "miles per week" is a rate, and we're talking about the rate of increase of that rate: 1 or 2 miles per week per week. It might be easier to think of the numbers as "weekly distance", rather than "miles per week".
Related Questions
HELP!!! Which of the following is not a perfect square trinomial? A. 169 – 26y + y2 B. 81 + 18y + y2 C. 64 + 8y + y2 D. 25 + 10y + y2
Answers
A. 169-26y+y^2 can be factorised into (13-y)(13-y)
B. 81+18y+y^2 can be factorised into (9+y)(9+y)
C. 64+8y+y^2 cannot be factorised into double brackets
D. 25+10y+y^2 can be factorised into (5+y)(5+y)
Therefore your answer is the odd one out, C.
which statement about sqrt x-5 minus sqrt x=5 true?
-3 is a true solution
-3 is a extraneous solution
9 is a true solution
9 is a extraneous solution
Answers
Answer:
9 is an extraneous solution.
Step-by-step explanation:
Extraneous solution is a solution that when plugged into the equation do not hold true.
Here we are given an algebraic equation in terms of single variable x as:
[tex]\sqrt{x-5}-\sqrt{x}=5-----(1)[/tex]
Now, we will solve this equation to obtain the solution as:
on squaring both side of the equation we obtain:
[tex](\sqrt{x-5}-\sqrt{x})^2=5^2[/tex]
[tex]x-5+x-2\sqrt{x-5}\sqrt{x}=25\\\\2x-5-2\sqrt{x-5}\sqrt{x}=25\\\\2x-30=2\sqrt{x-5}\sqrt{x}\\\\on\ dividing\ both\ side\ by\ 2\ we\ obtain:\\\\x-15=\sqrt{x-5}\sqrt{x}[/tex]
Again on squaring both side of the equation we obtain:
[tex]x^2+225-30x=(x-5)x\\\\\x^2+225-30x=x^2-5x\\\\225=-5x+30x\\\\225=25x\\\\x=9[/tex]
Now when we plug x=9 back to the original equation i.e. equation (1) we get:
[tex]\sqrt{9-5}-\sqrt{9}=5\\\\\sqrt{4}-\sqrt{9}=5\\\\2-3=5\\\\-1=5[/tex]
Hence, the equation does not hold true.
Hence, 9 is a extraneous solution
17+4h+2=1−5h solve for h
Answers
17+4h+2 = 1-5h
4h+5h = 1-2-17
9h = -18
h = -2
The value of h for the expression will be -2.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is 17+4h+2=1−5h. The value of "h" will be calculated as below:-
17+4h+2 = 1-5h
4h+5h = 1-2-17
9h = -18
h = -2
Therefore, the value of h for the expression will be -2.
To know more about an expression follow
https://brainly.com/question/723406
#SPJ2
What is the value of x?
Enter your answer, as a decimal, in the box.
Answers
What is the sum of the first eight terms of the series?
(−600)+(−300)+(−150)+(−75)+(−37.5)+...
Round the answer to two decimal places.
−1200.50
−1195.31
−1190.63
−1181.25
Answers
The given sequence is a geometric series.
Common ratio can be found as :
(-300/-600) = 0.5
(-150/-300) =0.5
So common ratio is 0.5
First term is -600
The attachment shows the required calculations.
Answer: Sum of eight terms is (-1195.31).
Which of the following is equal to the rational expression when x 2 or -4? 5(x-2)/(x-2)(x+4)
Answers
Answer: 5/x+4
Step-by-step explanation: a pex
John Street Barber Shop pays $25 per month for water for the first 8,000 gallons and $3.50 per thousand gallons above 8,000. Calculate the total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons.
Answers
Using Excel (see attached image) we find that the equation of the line is:
y = 0.0035x - 3
We evaluate for:
For x = 7000:
y = 0.0035 * (7000) - 3
y = 21.5 $
For x = 10000
y = 0.0035 * (10000) - 3
y = 32 $
For x = 13000
y = 0.0035 * (13000) - 3
y = 42.5 $
Answer:
The total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons is:
21.5 $, 32 $, 42.5 $, respectively.
Final answer:
The John Street Barber Shop pays a flat rate of $25 for the first 8,000 gallons of water, with an additional charge of $3.50 per thousand gallons above this threshold. Accordingly, the total costs for using 7,000 gallons is $25, for 10,000 gallons is $32, and for 13,000 gallons is $42.50.
Explanation:
The John Street Barber Shop pays $25 per month for the first 8,000 gallons of water and $3.50 per thousand gallons above 8,000 gallons. To calculate the total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons, we follow this methodology:
For 7,000 gallons, since it's below 8,000 gallons, the cost is just the flat rate of $25.For 10,000 gallons, the cost is $25 for the first 8,000 gallons, plus $3.50 for each of the 2,000 gallons above 8,000. This gives $25 + ($3.50 * 2) = $32.For 13,000 gallons, the cost is $25 for the first 8,000 gallons, plus $3.50 for each of the 5,000 gallons above 8,000. This gives $25 + ($3.50 * 5) = $42.50.Thus, the total costs for using 7,000 gallons, 10,000 gallons, and 13,000 gallons are $25, $32, and $42.50 respectively.
what is the change of entropy for a heat engine using 500.0j at 20.0c
Answers
hope it helps :D!!
The formula to find change in entropy is given by :
[tex] Change in entropy = \frac{Q}{T} [/tex]
where Q is change in heat and T is temperature.
We are given Q = 500 joule and T = 20 degree C
Plugging these values in the formula,
[tex] Change in entropy = \frac{500}{20} [/tex]
We get change in entropy = 25 J/Celsius.
What is reconciling your bank statement?
Answers
Answer:
Compare your personal records to the bank's statement
Choose the best answer.
For a given distribution the average is 15.5 and the standard deviation is 1.5.
If a sample is taken at random, which value is most likely?
20.2
10.1
16.3
12.9
Answers
Answer:
The answer is 16.3
Step-by-step explanation:
For a random distribution with an specific mean and standard deviation, the most probable values are the ones that lie between the ( means + or - standard deviation)
so in this case, the confidence range is:
Low = 15.5-1.5= 14
High = 15.5+1.5= 17
Values that lie between this range are more probable. So in this case 16.3, which is the only value in this range, has higher chance of occuring.
Choose the option that correctly completes the statement.
A triangle has a total of ______ exterior angles.
six
nine
three
Answers
Answer:
The correct option would be 6 exterior angles in a Triangle.
Can someone please help me
I would appreciate it please.
I would mark brainliest if its right only.
(Explain)
(Not adding)
Answers
_________________________________________________
Explanation:
______________________________________________________
This is a rectangular prism.
The [lateral] surface area of a prism has 6 sides.
Every side of a rectangular prism has a "corresponding side" with the same [lateral] surface.
So, we take the [lateral] surface area of one side of the rectangular prism (i.e. "length * width" ) ; and multiply that by "2".
Then we take the [lateral] surface area another side [that is DIFFERENT from the (aforementioned 2 sides— i.e. "length * width)] ; and multiply that value by "2" .
Finally, we take the [lateral] surface area of another side [that is DIFFERENT from the (aforementioned 4 sides— i.e. "length * width)] ; and multiply that value by "2" .
Then, we add these values —the values of these "lateral surface areas"—together; to get the total [lateral] surface area of the entire rectangular prism.
As such:
2(9 cm * 6 cm) + 2(7 cm * 9cm) + 2(6cm *7cm) ;
= 2(54 cm²) + 2(63 cm²) + 2(42 cm²) ;
= 108 cm² + 126 cm² + 84 cm² ;
= 234 cm² + 84 cm² ;
= 318 cm² .
_____________________________________________
For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perimeter. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answers
Figure 1)
a) The area is A = 36( π - 2) ст²
b) The perimeter is P = 6 (π + 2√2) [tex]cm^2[/tex]
Figure 2)
a) The area is A = 576 cm²
b) The perimeter is P = 24(π+2) [tex]cm^2[/tex]
Figure 1)
a) To find the area of the figure 1 we have to do the substraction
The area of figure 1 is equivalent to the area of a triangle less the area of a quarter circle.
The area of quarter circle is equal to
A = 2
we have
r = 12 cm
Put the value r as given
A = (12)2
A = 36 [tex]cm^2[/tex]
Area of a triangle formula is
A = (b)(h)
Given information,
b=12 cm
h = 12 cm
substitute
A = (12) (12)
A = 72 cm²
therefore
The area of the figure is
A = (36π - 72) [tex]cm^2[/tex]
Simplify
A = 36(π -2) [tex]cm^2[/tex]
b)
The perimeter of the figure 1 is equal to the circumference of a quarter circle plus the side AC of triangle
The perimeter of a quarter of circle is formula
C = 2πr
simplify
C = r
we have
r=12 cm
substitute
C = (12)
C = 67 cm
Find the length side AC
Applying the Pythagorean Theorem
[tex]AC^2 = 12^2 + 12^2[/tex]
[tex]AC^2 = 144+ 144\\AC^2 = 288\\AC = \sqrt{288}[/tex]
AC = 12√2 cm
P = (6π +12√2) cm
Taking 6 as a common multiplier we get
P = 6(π+2√2)
The perimeter of the figure 1 is
P = 6(π+2√2) cm
Part 2)
a) As we can see,
The area of a semicircle plus the area of a square less the area of a semicircle equals the area of figure 2.
The figure's area and the square's area are equal.
A = [tex]24^2[/tex]
A = 576 cm²
b) Find the perimeter of the figure 2
we know that
The perimeter of the figure 2 is equal to the length side AB plus the length side DC plus the circumference of two semicircles
The perimeter of the figure 2 is equal to two times the length side AB plus the circumference of one circle
P = 2(AB) + π D
P = 2(24) + π(24)
P = 48 + π(24)
Take out 24
P = 24 (2 + π ) cm
NEED HELP ASAP PLEASE HELP
Find m
Select one:
a. 120°
b. 100°
c. 90°
d. 80°
Answers
<DAE = 80
<EAC = 100
m must be somewhere, but I can't see it
Sebuah prisma dengan alas berbentuk belah ketupat mempunyai panjang diagonal 24 cm dan 10 cm. jika tinggi prisma 8 cm , maka luas permukaan prisma adalah
Answers
A prism with a rhombus pedestal has a diagonal length of 24 cm and 10 cm. if the height of the prism is 8 cm, then the surface area of the prism is
we know that
h=8 cm
D=24 cm
d=10 cm
Area of the rhombus=(d*D)/2=10*24/2=120 cm²
now calculate the side of the rhombus with Pythagorean theorem
L=√(d/2)²+(D/2)²=√(10/2)²+(24/2)²=13 cm
surface area of the prism=[120*2+13*8*4]=656 cm²
the answer is 656 cm²
the answer in Malay
kami tahu itu
h=8 cm
D=24 cm
d=10 cm
Kawasan rombus=(d*D)/2=10*24/2=120 cm²
kini mengira sisi rombus dengan teorem Pythagoras
L=√(d/2)²+(D/2)²=√(10/2)²+(24/2)²=13 cm
kawasan permukaan prisma=[120*2+13*8*4]=656 cm²
jawapannya ialah 656 cm²
Which statement is true about the parts of this expression?
7.5y-z/9+50+2y
he constant is 7.5.
The coefficients are 7.5 and -9
The variables are x and y.
the like terms are 7.5y and 2y
Answers
Second, False because -z/9, you can understand it as [tex] \frac{-1}{9}z [/tex]. So, 7.5 and -1/9 are the coefficient, not 7.5 and -9.
Third, False, because z and y suppose to be the variable, not x and y variable.
Last, True because they both have the term y multiplies by a coefficient.
Answer:
The answer is, the like terms are 7.5y and 2y.
I just got a 100% on my test
A recipe calls for 2/3 cup of water. You have a 1/6 cup measuring cup.
Which statements are true? Check all that apply.
The cup cannot be used to measure the amount of water needed.
2/3 can be rewritten as sixths.
Four full measuring cups are needed.
The numerator and denominator of 2/3 can be multiplied by 2 to get 4/6.
1/6 is equivalent to 2/3.
Answers
(2/3)=(2/2)*(2/3)=4/6
and (4/6)=4*(1/6)
the answer are
2/3 can be rewritten as sixths
Four full measuring cups are needed.
The numerator and denominator of 2/3 can be multiplied by 2 to get 4/6.
Which function represents a reflection of f(x) = 2(0.35)x over the y-axis? h(x) = 2(0.35)x h(x) = –2(0.35)x h(x) = 2(0.35)–x h(x) = 2(–0.35)–x
Answers
Answer:
Step-by-step explanation:
c
WILL GIVE BRAINLIEST!!! 12 POINTS!!!
Express the sequence given below as a recursively-defined function.
3, 11, 27, 59, 123
*u(0) = 3
u(n + 1) = u(n) + 8
for n = 0, 1, 2, ...
*u(0) = 3
u(n + 1) = 2u(n) + 5
for n = 0, 1, 2, ...
*u(0) = 3
u(n + 1) = 3u(n) + 2
for n = 0, 1, 2, ...
*u(0) = 3
u(n + 1) = 8u(n) + 1
for n = 0, 1, 2, ...
Answers
Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did she earn? Use the formula I=Prt to find your answer, where I is interest, P is principal, r is rate and t is time. Enter your solution in decimal form rounded to the nearest hundredth. For example, if your solution is 12%, you would enter 0.12.
Answers
I=PRT
the interest rate that Diana earned will be found as follows:
I=$450
P=$3000
R=?
T=3 years
thus
450=3000×R×3
R=450/(3000×3)
R=0.05
the rate of interest is 0.05
The width of Maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya’s poster determined by its length (x). Which describes what the point (2, 0) represents? The area is 2 if the length is 0. The area is 0 if the length is 2. The length is 2 if the width is 0. The width is 0 if the length is 2.
Answers
x------------> the length of Maya’s poster
w-----------> the width of Maya’s poster
y------------> Area of Maya’s poster
we know that
y=x*w
and
w=x-2
so
y=x*(x-2)-------------> y=x²-2x
using a graph tool
see the attached figure
the point (2, 0) represents that the area is 0 if the length is 2,
because the point (x,y) of the graph
x represent the length and y represent the area
WILL GIVE ABRAINLEST AND 50PTS
Which solution to the equation 3/a+2 + 2/a = 4a-4/a^2-4 is extraneous?
a= -2
a= -2 and a= 4
neither a= -2 and a= 4
a= 4
Answers
Answer:
a=-2 is extraneous solution.
Step-by-step explanation:
Given the equation
[tex]\frac{3}{a+2}+\frac{2}{a}=\frac{4a-4}{a^2-4}[/tex]
we have to find the extraneous solution.
An extraneous solution is a solution to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.
[tex]\frac{3}{a+2}+\frac{2}{a}=\frac{4a-4}{a^2-4}[/tex]
[tex]\frac{3}{a+2}+\frac{2}{a}=\frac{4a-4}{a^2-4}\\\\\frac{3a+2(a+2)}{a(a+2)}=\frac{4(a-1)}{a^2-4}\\\\\frac{5a+5}{a(a+2)}=\frac{4(a-1)}{a^2-4}[/tex]
On solving, we get
The solution is a=4 and a=-2
Here the solution a=-2 is the valid solution as it makes the denominator 0.
⇒ a=-2 is extraneous solution.
Option 1 is correct.
Rewrite this inequality so that one side is 0.
x2 − 2x + 1 < x − 1
Answers
To rewrite the inequality so that one side is 0, simply subtract x and add 1 to both sides, resulting in the inequality x² - 3x + 2 < 0.
To rewrite the inequality x² - 2x + 1 < x - 1 so that one side is 0, we follow these steps:
Bring all terms to one side of the inequality by subtracting x and adding 1 to both sides, resulting in x² - 3x + 2 < 0.
Now, the inequality is set up with one side equal to 0, and we can analyze or solve the inequality from here.
If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area of which will be 40 cm2 greater than the area of the rectangle. Find the area of the rectangle.
Answers
(x +4)*(x -5) +40 = x^2
x^2 -x -20 +40 = x^2
20 = x
The rectangle is 15 cm by 24 cm, and its area is 360 cm^2.
The science club raised money to clean the beach the spent $29 on trashbags and $74 on waterproof boots I still have $47 left how much did they raise
Answers
Which expression is equivalent to 6(2m – 1) – 4(m + 8)?
A. 8m – 38
B.8m + 7
C.2m – 38
D.8m + 31
Answers
12m-6 - 4m+32
8m+38 is the answer so thx and hope this helps and give me brainliest
Combine like terms which are 12m and 4m ,6 and 32.
12-4=8m
6+32=38
Final answer:
To find the equivalent expression to 6(2m - 1) - 4(m + 8), we first expand and simplify the given expression to 8m - 38, making option A the correct answer.
Explanation:
The question asks which expression is equivalent to 6(2m – 1) – 4(m + 8). To find the equivalent expression, we first expand both terms and then simplify the resulting expression.
First, distribute the 6 in the first expression: 12m - 6.Next, distribute the -4 in the second expression: -4m - 32.Combine like terms: (12m - 4m) + (-6 - 32) which simplifies to 8m - 38.Therefore, the expression that is equivalent to 6(2m – 1) – 4(m + 8) is 8m - 38, which corresponds to option A.
What happens to the area when the perimeter of square efgh efgh is doubled? explain.answers?
Answers
The area of EFGH will be multiplied by 4 if its perimeter is doubled.
_____
Original perimeter = s + s + s + s = 4s. Original area = s^2.
New perimeter = 2s + 2s + 2s + 2s = 8s. New area = (2s)^2 = 4s^2, 4 times the original area.
helpppppppppppppppppppppppppppppppppppppp
Answers
Answer:
Option D is correct.
value of x is 48
Step-by-step explanation:
Solve: [tex]\frac{x}{64}=\frac{3}{4}[/tex]
Cross multiply in the given equation we get;
[tex]x \cdot 4 = 3 \cdot 64[/tex]
Simplify:
[tex]4x = 192[/tex]
Divide both sides by 4 we get;
[tex]\frac{4x}{4}=\frac{192}{4}[/tex]
Simplify:
[tex]x = 48[/tex]
Therefore, the value of x is 48
East Ascension High School is creating a rectangular parking lot behind the school. The width of the parking lot is 8 more yards than the length. The total area of the parking lot is 65 yds2. What are the length and the width of the parking lot?
A Not enough information
B length = 13 yards width = 21 yards
C length = 5 yards width = 13 yards
D length = 10 yards width = 6 yards
Answers
Since A, B, and D all contain a width that is NOT 3 times larger than the length, they can be eliminated.
Hope this helps!:)
~Scarlett
Which expression is equivalent to 8+18a−2+6a? A.24a+6 B.24a + 10 C.8(1+2a)−(2+6a) D.30a
Answers
[tex]8 + 18a - 2 + 6a [/tex]
Combine Like terms: [tex]18a, 6a, \\ \\ 8,2 [/tex]
So, [tex](18a + 6a) = 24a \\ \\ 8+ (-2) = 6 [/tex]
[tex]Answer: 24a + 6 [/tex] would be [tex]equivalent [/tex] to: [tex]8 + 18a - 2 + 6a[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]