Step-by-step explanation:
x²y = k, where k is a real constant.
When x = 3.5, y = 8.
=> (3.5)²(8) = k, k = 98.
When y = 8/9,
we have x²(8/9) = (98).
=> x² = 110.25
=> x = 10.5 or x = -10.5.
Since we want the negative value,
the answer is x = -10.5.
The required negative value of variable x when y = 8/9 is -10.5. To understand the calculations, check below.
Proportion:Important information:
y is inversely proportional to the square of x.y=8 when x=3.5.Using the given inverse proportional statement, we get
[tex]y\propto \dfrac{1}{x^2}[/tex]
[tex]y=\dfrac{k}{x^2}[/tex] ...(i)
Substitute [tex]x=3.5,y=8[/tex].
[tex]8=\dfrac{k}{3.5^2}[/tex]
[tex]8=\dfrac{k}{12.25}[/tex]
[tex]8\times 12.25=k[/tex]
[tex]98=k[/tex]
Substitute [tex]k=98[/tex] in (i).
[tex]y=\dfrac{98}{x^2}[/tex]
Substitute [tex]y=\dfrac{8}{9}[/tex].
[tex]\dfrac{8}{9}=\dfrac{98}{x^2}[/tex]
[tex]x^2=98\times \dfrac{9}{8}[/tex]
[tex]x^2=110.25[/tex]
[tex]x=\pm \sqrt{110.25}[/tex]
[tex]x=\pm 10.5[/tex]
We need only negative value.
[tex]x=-10.5[/tex]
Therefore, the required value of variable x is -10.5.
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Solve the equation | z - 12 = 9
Answer:
21
Step-by-step explanation:
21-12=9
Answer:
z - 12 = 9
z = 9+12
z=21
Time
5 veares
Find the simple interest when
i) Principal = 22000, Rate of interest = 5% time = 5years
Answer: Simple interest = $5,500
Step-by-step explanation:
Interest formula:
I = prt
Convert 5% to 0.05
I = 22,000 × 0.05 × 5 = 5,500
I = $5,500.00
Good morning can u help???
Answer:
Select the proportional relationship.
That is the only thing that is in the checkbox. It won't let you continue unless you get something.
what expression is equivalent to (3c^2d^3)^2
Answer:
[tex] 9 {{c}^{4} } {{d}^{6} }[/tex]
Step-by-step explanation:
[tex](3c^2d^3)^2 \\ \\ = {(3)}^{2} {( {c}^{2} )}^{2} {( {d}^{3} )}^{2} \\ \\ = 9 {{c}^{4} } {{d}^{6} }[/tex]
this is where you can use your pickup lines without getting in trouble
Answer:
Are u a door, because u left me on open..
Step-by-step explanation:
Write the equation in standard form
ax + by = C
y=3x+7
HELP NOW!!!!
What is the x-value at which the graphs of y = x2 – 2x + 1 and y = x2 + 2x – 7 inter-
sect?
Answer:
x = 2
Step-by-step explanation:
Both equations are equal to y, so they're also equal to each other. We then set them equal to each other:
x^2 - 2x + 1 = x^2 + 2x - 7
We now do algebra to isolate x. Subtract 1 from both sides.
x^2 - 2x = x^2 + 2x - 8
Subtract 2x from both sides.
x^2 - 4x = x^2 - 8
Subtract x^2 from both sides.
-4x = -8
Divide both sides by -4.
x = 2
Will give brainless if you answer now .
Put all angles in order from largest to smallest .
4s*2+7s+2=0 Quadratic formula
Answer:
z=−215z=-215
Step-by-step explanation:
z=−215z=-215
3. Which of the relations below is not a function?
A. {(2,7), (4, 13), (6, 19), (8, 25)}
B. {(5,2), (7,2), (9,2), (11, 2)}
C. {(3, 1), (3, 4), (3,9), (3, 16)}
D. {(-8, 8), (-7, 7), (-6, 6), (-5,5)}
Answer:
I think it's D, I'm not really sure, but that's my best answer.
Step-by-step explanation:
None.
is my answer correct?
Answer:
not at all
Step-by-step explanation:
They each have a brother who weighs 40 units. Whose brother weighs 40 pounds, and whose
weighs 40 kilograms? Explain your reasoning,
4) Find mZJIH.
A) 160°
C) 150°
B) 123°
D) 103
Answer:
150 (i think)
Step-by-step explanation:
The Pythagorean theorem is a2+b2=c2. Solve for b.
Answer: what is a and c
Step-by-step explanation:
We need a and c to solve for b.
I noticed there is only one answer for this question and the answer was..incorrect. Therefore can someone answer this for me?
y=2x+9
y=4x-3
..............................
x=-9/2
x=-3/4
x = 6
y = 21
Step-by-step explanation:y = 2x + 9
y = 4x - 3
2x + 9 = 4x - 3
• Get the like-terms together:
9 + 3 = 4x - 2x
12 = 2x
• Divide 2x and 12 by 2 (to get x by itself):
12 ÷ 2 = 2x ÷ 2
6 = x OR x = 6
• To find the value of y, we have to substitute x into one of the equations (it doesn't matter which equation you plug x into, if the value of x is correct, both will equal the same number):
y = 2(6) + 9
y = 12 + 9
y = 21
y = 4(6) - 3
y = 24 - 3
y = 21
Please mark me the Brainliest!?!
Find the value of X and Y: 3x+9y=30 2(3x+9y)+x=64
pls help.
Answer:
x = 4 , y = 2
Step-by-step explanation:
3x+9y = 30 --------- (1)
2(3x+9y)+x = 64 ---------(2)
substitute (1) into (2)
2(30)+x = 64
60+x = 64
x = 64-60
x = 4
substitute x=4 into (1)
3x+9y = 30
3(4)+9y = 30
12+9y = 30
9y = 30-12
9y = 18
y = 18/9
y = 2
thus, x = 4 and y = 2
The temperature changed from 8 degrees to 3 degrees. How much did the temperature change by?
Answer:
Step-by-step explanation:
5degrees
In a bag of Starbursts, 30% of the candy is pink. There are 90 pink Starbursts in the bag. How many TOTAL Starbursts are in the bag?
Answer:
About 304.
Step-by-step explanat:
.=10 9/30=0.3. . . . . . . . .= 30% + 0.3. . . . . . . . .=60% 0.3. . . . . . . . .=90% = 0.9. . . 1/3 of . = 100% +0.1 1 1/3 x 3/10= 0.1if <3 and <4 are vertical angles and m<3=9x+5 and m<4=5x+33 find <4
Answer:
68 degrees
Step-by-step explanation
If <3 and <4 are vertical angles, then <3 = <4
This means that
9x + 5 = 5x + 33
9x - 5x = 33 - 5
4x = 28
x = 28/4
x = 7
Since <4 = 5x+ 33
<4 = 5(7) + 33
<4 = 35 + 33
<4 = 68 degrees
Hence the measure of <4 is 68 degrees
Help please this is due in a few minutes will mark brainlest
Answer:
A and B
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
X+4y=3
-5x - 20y = –15
A) what is the solution?
B) please explain with work shown, how you know your solution in part A is correct.
Answer:
Multiply (1) by 5.
5x+20y=15
-5x-20y=-15.
Add
0=0.
Infinetly many solutions.
I know this is correct because if i do -(-5x-20y=-15)
it will be 5x+20y=15 which is the same as (1)
Hope this helps plz hit the crown :D
Answer:
sorry but it is undefined
Melissa makes and sells necklaces and bracelets. One day she made a total of 28 pieces of jewelry. On this day the number of bracelets crafted was 4 more than twice the number of necklaces.How many of each type of jewlery did she make that day
Answer:
Number of necklaces = 8
Number of bracelets = 20
Step-by-step explanation:
Given that:
Mellisa is making and selling the necklaces and bracelets.
Number of pieces of jewelry made on one day = 28
Number of bracelets was 4 more than the twice the number of necklaces.
To find:
Number of each type of jewelry made = ?
Solution:
Let number of bracelets = [tex]b[/tex]
Let number of necklaces = [tex]n[/tex]
As per question statement:
[tex]b+n=28[/tex] ...... (1)
[tex]b = 2n+4[/tex] ...... (2)
Putting the value of [tex]b[/tex] in equation (1):
[tex]2n+4+n=28\\\Rightarrow 3n = 28-4\\\Rightarrow 3n = 24\\\Rightarrow n =\bold{8}[/tex]
By equation (1):
[tex]b + 8 =28\\\Rightarrow b = \bold{20}[/tex]
So, the answer is:
Number of necklaces = 8
Number of bracelets = 20
The Garcia family started the day with 222 gallons of milk. They drank 111 quart of milk for breakfast and 3 pints for lunch. How many pints of milk did the Garcia family have left after lunch?
Answer:
11 pints of milk the Garcia family have left after lunch.
Step-by-step explanation:
The Garcia family started the day with 2 gallons of milk.
They drank 1 quart of milk for breakfast and 3 pints for lunch.
Since, 1 gallon = 8 pint
2 gallon = 16 pint
and 1 quart = 2 pint
Left amount = 16 pint - ( 2pint + 3pint)
= 16-5
= 11 pints
Hence, 11 pints of milk the Garcia family have left after lunch.
let h (x) represent the height of a bridge at x feet from the start of the bridge. what does h (32) represent?
Answer:
It is the third one.
Step-by-step explanation:
Since the question is asking us that h(x) represents the height of the bridge the answer can be determined.
Scott has a stamp collection. The graph below shows
how many stamps there are from each country. How
many more are there from France than from Germany?
Scott's stamp collection
Germany
59
Spain
53
France
75
England
A
16
B
134
118
18
There are 16 more stamps from France than Germany.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Scott's stamp collection:
Germany = 59
Spain = 53
France = 75
The difference between the number of stamps between Germany and France.
= 75 - 59
= 16
Thus,
There are 16 more stamps from France than Germany.
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PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP SHOW YOUR WORK
Answer:
Step-by-step explanation 121 is the answer and it doesn't let me show work.
Write and equati9n of a l8ne that passes through (1,-2) and is perpendicular to -4x+7y=21
Given:
A line passes through (1,-2) and is perpendicular to [tex]-4x+7y=21[/tex].
To find:
The equation of that line.
Solution:
We have, equation of perpendicular line.
[tex]-4x+7y=21[/tex]
Slope of this line is
[tex]m_1=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}[/tex]
[tex]m_1=-\dfrac{-4}{7}[/tex]
[tex]m_1=\dfrac{4}{7}[/tex]
Product of slope of two perpendicular lines is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]\dfrac{4}{7}\times m_2=-1[/tex]
[tex]m_2=-\dfrac{7}{4}[/tex]
Now, slope of required line is [tex]-\dfrac{7}{4}[/tex] and it passes through (1,-2). So, the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
[tex]y-(-2)=-\dfrac{7}{4}(x-1)[/tex]
[tex]4(y+2)=-7(x-1)[/tex]
[tex]4y+8=-7x+7[/tex]
[tex]4y+7x=7-8[/tex]
[tex]7x+4y=-1[/tex]
Therefore, the equation of required line is [tex]7x+4y=-1[/tex].
can someone pleaseee help!!!
Answer:
Step-by-step explanation:
use known angles and rules to find unknown values
vertical angles (pairs of angles on opposite sides of an intersection) are equivalent
supplementary angles (angles found next to each other on a line) add up to 180 degrees
opposite interior angles are equivalent
And I don't remember the name of this kind of angle, but angle 1 and 10 are equivalent because they are found on the same "location"
using these rules you can find all missing angles.
1= 75
2=180-75=105
let me know if you need more help than this
MARKING BRAINLIST!
Add (11x + 2) + (9x − 4).
F. 20x − 6 G. 20x − 2 H. 2x − 6 I. 2x − 2
y= -3x+10 y= -2x+6 what is x and y
Answer:
(4,-2)
Step-by-step explanation:
you could use substitution and all that, but i use desmos