Answer:
When y = 4, x is equal to 39
Step-by-step explanation:
The given parameters are;
x = a + b + 4
a ∝ 1/y²
b ∝ 1/(1/y) = y
When y = 2, x = 18
When y = 1, x = -3
Therefore, we have;
a·y² = j
a = j/y²
b ∝ 1/(1/y)
∴ b ∝ y
b = k·y
When y = 2, x = 18, we have;
a = j/y² = j/2² = j/4
b = k·y = k·2
x = a + b + 4
∴ 18 = j/4 + k·2 + 4...(1)
When y = 1, x = -3, we have;
a = j/y² = j/1² = j
b = k·y = k·1 = k
x = a + b + 4
∴ -3 = j + k + 4...(2)
Making 'j', the subject of equation (1) and (2) gives;
From equation (1), we have;
18 = j/4 + k·2 + 4
∴ j = (18 - 4 - k·2) × 4 = 56 - 8·k
From equation (2), we have;
-3 = j + k + 4
∴ j = -3 - 4 - k = -7 - k
Equating the two values of 'j', gives;
56 - 8·k = -7 - k
56 + 7 = 8·k - k
63 = 7·k
k = 63/7 = 9
k = 9
From equation (2), we get;
-3 = j + k + 4
k = 9
∴ -3 = j + 9 + 4
j = -3 - 9 - 4 = -16
j = -16
When y = 4, we get;
x = a + b + 4
a = j/y²
b = k·y
∴ x = j/y² + k·y + 4
Plugging in the values of 'j', and 'k' and y = 4, gives;
x = (-16)/y² + 9·y + 4
∴ x = (-16)/4² + 9 × 4 + 4 = 39
x = 39
Therefore;
When y = 4, x = 39.
Which of the following equations represents a line that is parallel to the line 3x - 2y = 12
and passes through the point (7, 10)?
Answer:
Step-by-step explanation:
12=3x-2y
2y+12=3x
2y=3x-12
y=(3x-12)/2
y=mx+b
To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be
y=1.5x+b, using point (7,10) we can solve for the y intercept or b
10=1.5(7)+b
10=10.5+b
b=-0.5 so our line is
y=1.5x-0.5
Use your scratch paper to draw a coordinate plane and plot the following data set: (4,3), (1,2), (9.1), (10,2), (9,10), (1,7),(5,0), and (6,1),
What type of association exists between the data points?
Answer:
3,)ft
Step-by-step explanationpads: 1 7(.9t
Help!please do this fast!!!
Answer:
The ordered pair works for the first equation on the top, but not the second equation on the bottom.
Step-by-step explanation:
You have to plug in the x and y values into the equations:
x - 2y = -6
2 - 2(4) = -6
That equation works.
...now for the next one...
3x + 2y = 12
3(2) + 2(4) = 12
That equation doesn't work.
Hope this helps!
Bases angles theorems and HL theorems
PLEASE HELP
Answer:asdjf;alksjdf;oajfeowijf;askf;oiasjef;awejf;oaisejf;awe;ifo
Step-by-step explanation:
Maya spend 40% of her savings to pay for a bicycle that cost her $85. How much money was in Maya's savings to begin with?
Step-by-step explanation:
letπ be the percentage of her savings
=40+85
=125
=125+π=100
=π=100-125
=π=75
Help me please please
Answer:
a. 45 + 20x
30 + 26x
b. 2.5 hours
c. 95
Step-by-step explanation:
45 + 20x = 30 + 26x
subtract 30 from both sides of the equation
15 + 20x = 26x
subtract 20x from both sides of the equation
15 = 6x
divide 6x on both sides of the equation
2.5 = x
answer asap thanks!!
Step-by-step explanation:
(5-\/5)²
25-10\/5+5
30-10\/5
Here, a=30 and b=-10
The diameter of a circle is 15 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Given that, the diameter of the circle 15 m. The circumference of a circle is 2πr. Then the circumference of the circle with the given diameter is 47.1 m.
What is circumference of a circle?Circumference of a circle is also called its perimeter and it describes the overall area of the surrounding circular path. The distance round a circle is its circumference, but this cannot be used as a definition if, as in many elementary treatments, distance is defined in terms of straight lines.
In these conditions, the limit of the perimeters of inscribed regular polygons may be described as the circumference of a circle as the number of sides increases without constraint. When describing abstract geometric forms as well as measuring real-world things, the term circumference is frequently used.
It is given that, the diameter of the circle = 15 m
radius r = diameter/ 2 = 15 m/ 2 = 7.5 m
circumference of circle = 2 π r
= 2 × 3.14 × 7.5 m
= 47.1 m
To find more on circumference, refer here:
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Find the area of the shape
Answer:
158
Step-by-step explanation:
WILL GIVE BRAINLIEST
When melissa is born her parents invested 2,000 in a fund that paid an annual interest of 6%. How old will melissa be when the investment is worth at least $5,000?
Answer:
25 years
Step-by-step explanation:
Given data
Principal P= $2000
Interest rate r= 6%
FInal amount A=$5,000
The simple interest formula is given as
A=P(1+rt)
substitute and solve for t
5000=2000(1+0.06*t)
5000=2000+120t
5000-2000=120t
3000=120t
t= 3000/120
t= 25 years
Hence, for a simple interest investment, she will be 25 years
I'm confused. Can someone help and also lmk how to work it out? :)
Answer:
£5
Step-by-step explanation:
5 boxes will cose 5 x 15.40 = 77 normally.
according to the table, he will get 6.5% discount.
6.5 percent of 77 is 77x0.065 = 5.005 ≈ 5
Answer:
he orders 5 boxes of paperclips, that comes around to 77 dollars. That means he will get a 6.5 percent discount. So you would multiply 77 by .065 and you would get 5.005. You would take that number and subtract it by 77 and would get 71.995 and you can round that up to 72 dollars. My guess is that either 72 or 5.005 is the answer as 72 dollars is the price after the discount and 5.005 is how much he is saving
Step-by-step explanation:
-7+n/5=-11
Solve it down here
Answer:
n = -20
Step-by-step explanation:
-7 + [tex]\frac{n}{5}[/tex] = -11
*multiply both sides by 5*
-35 + n = -55
*add 35 to each side*
n = -55 + 35
*calculate the sum*
n = -20
Jerome bought 2 postcards and received $1.50 in change in quarters,dimes. And nickels.The nickels, were worth $0.15.If he got 9 coins, back how many of each coin did he get
Answer:
Jerome got 5 quarters, 1 dime and, and 3 nickels.
Step-by-step explanation:
Let's define the variables:
N = number of nickels he got
D = number of dimes he got
Q = number of quarters he got
We know that the nickels were worth $0.15
And each nickel is whort $0.05
Then:
N*$0.05 = $0.15
N = $0.15/$0.05 = 3
N = 3
Now we also know that there is a total of 9 coins, then:
N + D + Q = 9
3 + D + Q = 9
D + Q = 9 - 3 = 6
D + Q = 6
And we also know that the total change received is $1.50, then:
D*$0.10 + Q*$0.25 + N*$0.05 = $1.50
We know that N = 3, then we can replace that and get:
D*$0.10 + Q*$0.25 + 3*$0.05 = $1.50
D*$0.10 + Q*$0.25 = $1.50 - $0.15 = $1.35
D*$0.10 + Q*$0.25 = $1.35
Then we have two equations:
D + Q = 6
D*$0.10 + Q*$0.25 = $1.35
To solve this, we can isolate one of the variables in one of the equations, i will isolate D in the first one:
D = 6 - Q
Now we can replace this in the other equation:
(6 - Q)*$0.10 + Q*$0.25 = $1.35
Now we need to solve this for Q.
$0.60 - Q*$0.10 + Q*$0.25 = $1.35
Q*$0.15 = $1.35 - $0.60 = $0.75
Q = ($0.75)/($0.15) = 5
Q = 5
Then Jerome has 5 quarters.
Now we can return to the equation:
N + Q + D = 9
We already know that:
N = 3
Q = 5
Then if we replace those in the equation, we get:
3 + 5 + D = 9
8 + D = 9
D = 9 - 8 = 1
D = 1
Find the new price of a 10% markup on the original price of $36.00
PLEASE ANSWER PLEASE HURRRY!!!!! PLEASEEEEE
Answer:
the answer is D (4,-8)
Step-by-step explanation:
Its 4,-8
A rectangle has a base of x squared y
inches, and a height of
inches.
The area of a rectangle is A = bh.
What is the area of this rectangle in square inches?
Answer:
i don’t know
Step-by-step explanation:
Q+9=13 alegbra statement
Answer:
Q = 4
Step-by-step explanation:
Q = 13 - 9
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Equation: q + 9 = 13}[/tex]
[tex]\large\text{SUBTRACT both sides by 9}[/tex]
[tex]\large\text{q + 9 - 9 = 13 - 9}[/tex]
[tex]\large\text{Cancel out: 9 - 9 because that gives you 0}[/tex]
[tex]\large\text{Keep: 13 - 9 because that gives you the value of q}[/tex]
[tex]\large\text{q = 13 - 9}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf q = 4 }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1049:)}[/tex][tex]\large\text{SUBTRACT BOTH SIDES by 9}[/tex]
what is this in slope intercept form?
Answer:
y=3/2x+2.5
Step-by-step explanation:
Area of a circle 6ft
Answer:
Ok
Step-by-step explanation:
What do you want us to figure out? Did you forget the picture?
A line passes through the point (0,-5). The gradient of this line is 3.
Write down the equation of this line
Answer:
The equation of the line is;
y = 3x -5
Step-by-step explanation:
Here, we want to write down the equation of the line
We can use the point-slope form
y-y1 = m(x-x1)
(x1,y1) represents the given point (0,-5)
m represents the slope = 3
Substituting these values
y-(-5) = 3(x-0)
y + 5 = 3x
y = 3x - 5
This is a complemntary angle. Solve for X
(Hi pls pls solve this! I will give someone the brainlest no bs)
Answer:
x = 30
Step-by-step explanation:
We start off with 90 degrees
2x + x = 90
Add all like terms
3x = 90
Divide 3 on both sides
[tex]\frac{3x} {3} = \frac{90} {3}[/tex]
x = 30
To check your answer:
Let x be 30
2x + x = 90
2 (x 30) + 30 = 90
60 + 30 = 90
90 = 90
10 + 2(5-1)2 4-2 find the value
Josh and Lucy share some money in the ratio of 3 : 7 they share 84 in total how much money does Josh receive
28
58.80
25.20
8.40
k + 12 greater or equal than20, if k = 15
Answer:
"k+12" IS greater than 20. If in this hypothetical question.
Step-by-step explanation:
Please brailiest me
Answer:
yes it is right decause:-
15+12=27 in which 27 is greater than 20
Find the solutions of the inequality and complete the statements. The solutions of the inequality include all numbers . There are solutions of the inequality.
Answer:
All numbers greater than 40;
Infinite
Step-by-step explanation:
Given the inequality :
h > 40
The solution to the inequality is any number, h which makes the inequality expression true.
Hence, it includes all numbers, h greater than 40 ; beacuase every number greater than 40 represents a true inequality statement.
The number of solutions to the inequality is infinite because the number of solution is not confined to a certain specify. Range.
Answer
It's A and C
Step-by-step explanation:
I just finished my test
What is an equation of the line that passes through (0,8) and (4,0)
y=2 x+8
y=2 x+4
y=-2x+4
y=-2 x+8
Answer:
Step-by-step explanation:
y=mx+b
m=dy/dx=(0-8)/(4-0)=-8/4=-2
y=-2x+b, using point (4,0)
0=-2(4)+b
b=8
y=-2x+8
Yhe length of a rectangler garden is four times its width w plus 3 feet. Ehich expression represnts the garden length in feet
Answer:
l = 4w + 3
Step-by-step explanation:
chords!
please please please help me solve for x
Answer:
x = 3
Step-by-step explanation:
arc KP = 50 degrees
arc KRQ = 2(110) = 220 degrees
arc 30x = 360 - 220 - 50 = 90 degrees
30x = 90
x = 3
Brianna has 6 bags of soil. Filling one flowerpot requires 1/3 of a bag of soil. How many flowerpots can be filled with these 6 bags?
A.1/2
B.2
C.18
D.24
Help I suck at math 0-0
Answer:
C. 18
Step-by-step explanation:
Inverse of 1/3 = 3
3 x 6 = 18
18 flowerpots can be filled with these 6 bags.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
Brianna has 6 bags of soil.
Filling one flowerpot requires 1/3 of a bag of soil.
So, the number of flowerpots filled using 6 bags
= 6 / (1/3)
= 6 x 3
= 18 pots
Learn more about Unitary Method here:
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You and your friend complete video game levels at the same rate. You complete 5 levels in 45 hours. How many levels does your friend complete in 9 hours?
DO TODAY PLZ HELP
Answer:
Your friend completes 1 level in 9 hours
Answer: 1 level in 9 hours 45/5 is 9 so it takes 9 hours to finish a level that means he can only do one level in 9 hours
Step-by-step explanation: