Answer:
x=0.2, y=6
Step-by-step explanation:
Since y=20x+2, 5x+y=7 => 5x + (20x +2 ) = 7
25x + 2 = 7
25x = 5
x = 0.2
so y = 20x + 2 = 20* 0.2 +2 = 4 + 2 = 6
so the final solution is [tex]\left \{ {{y=6} \atop {x=0.2}} \right.[/tex]
The values of x and y for the given simultaneous equation are;
x = 0.2 and y = 6
We are given 2 simultaneous equations;
5x + y = 7 ---(eq 1)
20x + 2 = y ----(eq 2)
Put 20x + 2 for y in eq 1;
5x + 20x + 2 = 7
25x + 2 = 7
25x = 7 - 2
25x = 5
x = 5/25
x = 0.2
Put 0.2 for x in eq 2 to get;
20(0.2) + 2 = y
4 + 2 = y
y = 6
In conclusion, the values of x and y are x = 0.2 and y = 6.
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Which number line represents he number 0.7?
Subtract using the number line.
−35−(−25)
Select the location on the number line to plot the difference.
Answer:
I'm assuming that the answer is -10
Step-by-step explanation:
Because you are being asked to subtract a negative, the two negative signs cancel each other out to make the equation -35+25. So the answer is -10.
Answer:
-1/5 im right hope all of you have a wonderful day
Step-by-step explanation:
Which numbers are less than
-8/3 Select all that apply.
A. -2.6 (repeating)
B.-2.76
C.-2 1/4
D. -11/4
E. -2
Answer:
B. and D.
Step-by-step explanation:
Answer:
b and d
Step-by-step explanation:
URGENT again having difficulty, please answer as soon as possible would be appreciate it :)
Which graph is inverted
y = 1+x^2
y = 1 - x^2
y = x^2 -1
-y = 1 - x^2
Answer:
Please help me and my question, it would mean alot, I think that the graph inverted is D
Step-by-step explanation:
HELPPPPPP ILL GIVE YOU BRAINLIEST.
Answer:
1- Add 15 to both sides
2- 3x - 15 = 27
3- Already answered
4- 3x = 42
5- Divide both sides by 3
x = 14
Mr. Johnson gave the sales clerk $60 for 3 sweaters that he purchased. The clerk handed him $7.56 in change. Each sweater cost the same amount. What was the cost for each sweater? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. . 00 Olo 9 9 O $17.48 O $17.53 O $22.52 O $26.22
A dance studio has fixed monthly costs of $1500 that include rent, utilities, insurance, and advertising. The studio charges $60 for each private lesson but has a variable cost for each lesson of $35 to pay the instructor.
Answer:
a)C(x)=1500+35x
b)R(x)=60 x
c)P(x)=25x-1500
d)The number of lessons that must be held for the studio to break even ia 60
e)The studio will make 550 if 82 lessons are held
Step-by-step explanation:
Monthly cost that include rent, utilities, insurance, and advertising = $1500
The studio charges $60 for each private lesson but has a variable cost for each lesson of $35 to pay the instructor.
a)Write a linear cost function representing the cost to the studio C(x) to hold x private lessons for a given month
Fixed monthly cost = $1500
Variable cost of trainer for each lesson = $35
Variable cost of trainer for x lessons = 35x
So, C(x)=1500+35x
b)Write a linear revenue function representing the cost to the revenue R(x) to hold x private lessons for a given month
Charge for 1 lesson = 60
Charge for x lessons = 60 x
So, R(x)=60 x
c)Write a linear profit function representing the cost to the profit P(x) to hold x private lessons for a given month
Profit = Revenue - Cost
P(x)=R(x)-C(x)
P(x)=60x-1500-35x
P(x)=25x-1500
d)Determine the number of lessons that must be held for the studio to break even
R(x)=C(x)
60x=1500+35x
25x=1500
x=60
So, the number of lessons that must be held for the studio to break even ia 60
e) If 82 lessons are held during a month how much money will the studio make or lose
P(x)=25x-1500
P(82)=25(82)-1500
P(82)=550
So, The studio will make 550 if 82 lessons are held
1)Profit function P(p)=25p-1500
2) For the break-even number of lessons to be held is 60 lessons.
3)Profit, when 82 sessions are held is $550.
The fixed monthly cost of the dance studio= $1500
The variable cost of the trainer for each lesson = $35
So, Variable cost of trainer for 'p' lessons = 35a
So, Total cost =1500+35p
Charge for 1 private lesson = 60
Charge for 'p' lessons = 60p
So, Revenue =60p
We know that, Profit = Revenue - Cost
So, Profit =60p-(1500+35p)
Profit=25p-1500
What is the break-even point?The break-even point is the point at which total cost and total revenue are equal.
For break-even
Cost = Revenue
1500+35p = 60p
p =60
So, for the break-even number of lessons to be held = 60 lessons
Profit when 82 sessions are held
Profit = 25p-1500
Profit = 25*82-1500
Profit = $550
Therefore, 1)Profit function P(p)=25p-1500
2) For the break-even number of lessons to be held is 60 lessons.
3)Profit, when 82 sessions are held is $550.
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the log ride at an amusement park has a single hill with an incline of 127 feet and a decline of 93 feet. If the total horizontal distance between the start of the incline and end of the decline is 132 feet, find the maximum height of the ride
Answer:
85.02 feet
Step-by-step explanation:
In order to solve this we need to use Herons formula to discover the Area of the triangle and then solving the formula of the area to find the height.
Herons formula starts by calculating the semi-perimeter which is half the perimeter of the Triangle:
[tex]s=\frac{a+b+c}{2}\\ s=\frac{127+93+132}{2}\\s=176[/tex]
Now that we knwo that s= 176 we need to use the second part of the formula:
[tex]A=\sqrt{(S-A)(S-B)(S-C)} \\\\A=\sqrt{(176-127)(176-93)(176-132)}\\A=\sqrt{176(49)(83)(44)} \\A=5612.02[/tex]
So the area is 5612.02, with that we just have to solve the equation for area, which is [tex]A=\frac{B*H}{2}[/tex]
So it would be 2A*B=H
H=2*5612.02*132
H=85.03
Resplendent quetzal (Pharomachrus mocinno) is a beautiful bird species that lives in the tropical forests of Central America. Assuming that you started a breeding program and you would like to breed resplendent quetzal to produce longer tails. You measured 50 resplendent quetzals and obtained a mean tail length of 85.4 cm. You selected 10 resplendent quetzals with longest tails as breeders. The mean tail length of the breeders is 91.2 cm. After mating, offspring of the resplendent quetzal breeders have a mean tail length of 87.7 cm. What is the heritability of tail length in this resplendent quetzal population
Answer:
The value is [tex]H =0.3966[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The mean tail is [tex]\= x = 85.4 \cm[/tex]
The number of resplendent quetzals selected as breeders is [tex]k = 10[/tex]
The mean tail breeders is [tex]\= x_1 = 91.2 \ cm[/tex]
The mean tail of the breeders after mating [tex]\= x_2 = 87.7 \ cm[/tex]
Generally the selection differential is mathematically represented as
[tex]D = \= x_1 - \= x [/tex]
=> [tex]D = 91.2- 85.4 [/tex]
=> [tex]D = 5.8 \ cm [/tex]
Generally the selection response is mathematically represented as
[tex]S = \= x_2 - \= x[/tex]
=> [tex]S = 87.7 - 85.4[/tex]
=> [tex]S =2.3 \ cm [/tex]
Generally the heritability of tail length in this resplendent quetzal population is mathematically represented as
[tex]H = h^2 = \frac{S}{D} [/tex]
=> [tex]H = h^2 = \frac{2.3}{5.8} [/tex]
=> [tex]H = h^2 = \frac{2.3}{5.8} [/tex]
=> [tex]H = h^2 = 0.3966/tex]
Why is "3 meals a day" a unit rate?
O It compares 1 meal to 1 day.
O It compares 1 meal to 3 days.
O It compares 3 meals to 1 day.
Olt compares 3 meals to 3 days.
Answer:
it compares 3 meals to 1 day
Help
PLZ HELP I’m begging u
Answer:
Since this is a proportional relationship,
We know that the number which are proportional are a multiple of each other
the number which we can multiply one of the numbers to get the other number is the constant of proportionality
we could check for proportionality by using the following formula:
p1 / s1 = p2/s2 = p3/s3 = p4/s4 if they were equal, we can say that the relation is proportional
The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality
Therefore, the constant of proportionality = 20 / 5 = 4
Answer:
Since this is a proportional relationship,
We know that the number which are proportional are a multiple of each other
the number which we can multiply one of the numbers to get the other number is the constant of proportionality
we could check for proportionality by using the following formula:
p1 / s1 = p2/s2 = p3/s3 = p4/s4 if they were equal, we can say that the relation is proportional
The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality
Therefore, the constant of proportionality = 20 / 5 = 4
Need help please badly
Answer:
CED is a right angle, CEB=AEB
hopw that helps
Answer:
1st, 2nd, 5th
Step-by-step explanation:
How to find the probability of the complement of an event?
Plz help I don’t know what to do it and I need a explanation for it
Answer:
A function is defined as an equation in which no x value has two y values. You can find the answer to this via the vertical line test. If you move a pencil across a graph and it does not touch the graph at two points, then it is a function. Utilizing this logic, the correct answer is yes, this is a function.
Step-by-step explanation:
20 POINTS!!!!!!!!!!!!!!
What's a better show, Trailer Park Boys or Adventure Time?
Answer:
adventure time 100%
Step-by-step explanation:
Both are the best shown in their place.
Trailer Park Boys:A mockumentary sitcom television series from Canada called Trailer Park Boys was created by Mike Clattenburg. The television series, which is a continuation of Clattenburg's 1999 movie of the same name, chronicles the misadventures of a group of trailer park residents, some of whom are ex-convicts, who reside in the fictitious Sunnyvale Trailer Park in Dartmouth, Nova Scotia. After making its Showcase debut on April 22, 2001, the program initially aired for seven seasons before coming to an end with an hour-long special on December 7, 2008. Three additional movies based on the TV show have been produced: The Movie (October 6, 2006); Countdown to Liquor Day (September 25, 2009); and Don't Legalize It (April 18, 2014).Adventure Time:Pendleton Ward produced the American fantasy animated television series Adventure Time[c] for Cartoon Network. The show centers on the exploits of Finn (Jeremy Shada), a young kid, and Jake (John DiMaggio), a dog with the magical ability to change size and shape at will. They engage with Princess Bubblegum (Hynden Walch), the Ice King (Tom Kenny), Marceline (Olivia Olson), BMO (Niki Yang), and other characters while living in the post-apocalyptic Land of Ooo.
Therefore, there is no comparison between the shows, both are the best shows in their place.
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Ronnie buys 2 pairs of shoes for $50. Write an equation relating the total cost y to the number of pairs of shies x
Jake won 7 of the 15 races he ran. Write Jake's fraction of decimal. wins as a
Answer:
0.46
Step-by-step explanation:
Answer:
0.4667
Step-by-step explanation:
First off, we'll interpret the fraction bar to mean "divided by." This means that 7/15 is the same as 7 divided by 15.
Second, you have requested to see 3 decimal places in your answer, so we'll write the 7 as 7.000 instead (a 7 with 3 zeros after the decimal point).
Now, we'll just do what the fraction bar says: divide 7.000 by 15:
And that's about it! 7/15 written as a decimal to 3 decimal places is 0.467
The zeros of the function are , 3, and , and the y-intercept of the function is located at .
Answer:
The zeroes are -1, 3, and -2
The y intercept is located at (0,6)
Step-by-step explanation:
(x+2)=0
x=-2
The easiest way is to use an online graph like desmos and graph the problem there. You can see where the y intercept is.
What is the function equation of this table?
Answer:
f(x) = x * -3
Step-by-step explanation:
so, you have x and you have f(x), as you can see -4 turns into 12... you basically have to divide, multiply, add or subtract for each value to see what they have in common, here it's easy since -4 * -3 is 12, -2 * -3 is 6, 0 * -3 is 0, etc etc. hope it helped : )
Answer:
y=-3x
Step-by-step explanation:
(0,0) and (1,-3) are two points so 1-0=1 and -3-0=-3 and -3/1= -3.
Johnny will work 15 hours a week during the l36 week school year, and 40 hours a
week the other 16 weeks of the year. How many hours will he work over the course
of the year?
are angles 1 and 4 vertical?
Answer:
vertical 5
Step-by-step explanation:
is y = x/9 a direct variation
Point-Slope form is used when your are NOT given which of the following. You need all 3 or slope or y-intercept or a point.
Answer:
y-intercept
Step-by-step explanation:
you only need the slope and points for point-slope form
A principal of $1700 is invested at 6% interest, compounded annually. How much will the investment be worth after 13 years?
Answer:
$3626
Step-by-step explanation:
1700*(1+0.06)^13=3625.978
Helpp me plzzzzzZZzz
Suppose 7 quesadillas is 49 dollars and 2 mexican burritos are 10 dollars. Find the price of 1 quesadilla and 10 mexican burritos. Explain how you set up this algebraic expression.
Answer:
17$
Step-by-step explanation:
quesadillas =x
burritos =y
7x =49 $
x=49 :7
x=7$cost a quesadillas
2 y =10$
y=10 :2
y=5$cost a burrito
x+10y
7 +2×5
17 $cost 1 quesadilla and 10 burritos
Answer:
1 quesadilla is 7 dollars and 10 burritos are 50 dollars
Explain:
49/7 is 7, so each quesadilla is 7 dollars. Also, 10/2 is 5 dollars, so each burrito is 5 dollars.
Pina filled out the following information on the back of her monthly statement:
Ending balance from statement $1,139.78
Deposits outstanding
+ $280.67
Total of checks outstanding
- $656.91
Revised statement balance
Balance from checkbook
$763.54
Find Pina's revised statement balance. Does her account reconcile?
Answer:
yes
Step-by-step explanation:
It is true that Pina's account reconciles.
The monthly statement is given as:
Ending balance from statement $1,139.78 Deposits outstanding + $280.67 Total of checks outstanding - $656.91 Revised statement balance $ Balance from checkbook $763.54Start by calculating the revised statement at the end of the month.
This is calculated using:
[tex]Revised = Ending\ Balance + Deposit\ Outstanding - Checks\ Outstanding[/tex]
So, we have:
[tex]Revised = \$1139.78 + \$280.67 - \$656.91[/tex]
Evaluate the expression
[tex]Revised = \$763.54[/tex]
By comparison, the revised statement equals the balance from the checkbook.
Hence, we can conclude that her account reconciles.
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The answer to a multiplication problem
5 x 2 = 10
Sum
Difference
Product
Quotient
Answer:
Product
Step-by-step explanation:
15(15b−7)=3b−9 plz help meee
Answer:
B=16over37
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
15(15b−7)=3b−9
(15)(15b)+(15)(−7)=3b+−9(Distribute)
225b+−105=3b+−9
225b−105=3b−9
Step 2: Subtract 3b from both sides.
225b−105−3b=3b−9−3b
222b−105=−9
Step 3: Add 105 to both sides.
222b−105+105=−9+105
222b=96
Step 4: Divide both sides by 222.
222b
222
=
96
222
Then simplify
Answer:
Step-by-step explanation:
15(15b-7)=3b-9
225b-105=3b-9
+105 +105
225b=3b+96
/3 /3
75b=b+96
/75 /75
b=b+1.28
NO SOLUTION