Answer:
xy-3x=40, x=5
x(y-3)=40
y-3=(40/x)
y=(40/x)+3
y=(40/5)+3
y=8+3
y=11
If the variables x and y vary inversely then when x=-3 and y =-8
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Since x and y vary inversely, we can write the equation:
x y = k, where k is a constant of variation.
Using the given values, we can find k:
(-4)(-6) = k
k = 24
So the equation relating x and y is:
x y = 24
To find y when x = -3, we substitute x = -3 into the equation and solve for y:
(-3) y = 24
y = -8
Therefore, when x = -3, y = -8.
To learn more on Equation:
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A savings account increases from $300 to $309. What is the percent increase of the savings account?
Answer:
9 percent
Step-by-step explanation:
Answer:
3%
Step-by-step explanation:
1st Method: Increase Formula = (Last value-first value)/(first value)
Increase = (309-300)/300 = 9/300 = 3/100
= 0.03 or 3%
2nd Method: 309/300 = 103/100 = 1.03 (increase over 1 is 0.03 = 3%
Billy is 80 feet from the base of a building. The angle of elevation to the top of the building is 35 degrees. If the distance from Billy's eyes to the ground is 5 feet, how tall is the building?
Answer:
61 ft
Step-by-step explanation:
The detailed step by step solution has been attached in pen and paper format. Feel free to ask any doubt.
1, Find the value of a in the following equation 3a=24.
What's a linear function that has a slope of -3 and a y intercept of -2?
Answer:
y = -3x - 2
Step-by-step explanation:
Y = Mx + b
[slope = m, y-intercept = b]
plug in values:
y = -3x - 2
(P.S. - I saw your last question, sorry people aren't answering. I'll try my best to answer your questions if you have any others :) )
Without the y provided alongside the slope and y intercept, this problem can not be solved.
Step-by-step explanation:
Solve 2(x+3)=x-4
What is x?
Answer:
x=-10
Step-by-step explanation:
[tex]2(x+3)=x-4[/tex]
distributive property on left side:
[tex]2x+6=x-4[/tex]
subtract x from both sides
[tex]x+6=-4[/tex]
subtract 6 from both sides
[tex]x=-10[/tex]
Answer:
-10
Step-by-step explanation:
2(x+3)=x-4
Distribute (multiply everything in parenthesis):
2x+6=x-4
Subtract -x from both sides
X+6=-4
Subtract 6 from from both sides:
X=-10
The length of one side of APTV is given. Use the relationship between the sides of a 30°-60°-90° triangle to find the lengths of the other two sides.
Answer:
your answers will be 3 and 6
Step-by-step explanation:
have a nice day !!^_^
Please help!!!!!!!!!!! Will give brainlist
Answer:
0.2
Step-by-step explanation:
When you have a decimal problem you add a 0 before the number. But if its a fraction ike 4 5/8 the decimal would be 4.58.
Jameson pays $39.90 for 3.8 pounds of almonds. What is the price per pound of almonds?
Step-by-step explanation: The price of3.8 pounds of almonds=$39.90 thus we can write Hence the price of almonds is $10.50 per pounds.
AWNSERS:$10.50
Answer:
Step-by-step explanation: 39.90 x 3.8 = 151.62
Find the missing measurements of the right triangle. Round your answers to the
nearest tenth if necessary.
You can use the calculator below!
Answer:
m∠B = 63°
AB = 26.4
AC = 23.6
Step-by-step explanation:
m∠B = 90 - 27 = 63°
Sin 27 = 12/AB
AB (sin 27) = 12
AB = 12/sin 27 = 26.4
Tan 27 = 12/AC
AC (tan 27) = 12
AC = 12/tan 27 = 23.6
Round the number 78 to the nearest tenth
61
80
16
Answer:
The answer is 80
Step-by-step explanation:
78 is closer to 80
Answer:
the answer is 80
Step-by-step explanation:
it will be 80 because 78 is closest to 8
PLEASE HELP QUICKLY!! The sum of two numbers is 12. Their product is 2. What are the two numbers?
Answer:
the answer is six and two
If a = 12 in and b = 25 in, what is the area of the pencil? A. 372 in2 B. 169 in2 C. 322 in2 D. 444 in2
Answer:
1169 in^2 Approx
Step-by-step explanation:
Given data
We know that the shape of the pencil is cylindrical
Hence the dimension is
Diameter= 12in
Radius= 12/2= 6in
Height= 25in
The surface area of a cylinder is given as
T.S.A.=2πrh+2πr^2
Substitute
T.S.A.=2*3.142*6*25+2*3.142*6^2
T.S.A.=942.6+226.224
T.S.A=1168.824
Hence the area is 1169 in^2 Approx
Dale runs 10 miles in 75 minutes. At the same rate, how many miles would he run in 69 minutes?
Answer: 9.2 miles
Step-by-step explanation:
Answer: 9.2 miles
Step-by-step explanation: hope this helps you!
Helppp. Please give workings too.
Answer:
The numerical value is 7.
Step-by-step explanation:
If 4 x is 3 y, then 8 x must be 3 x 2, which is obviously 6.
6y + y = 7y
--
7y/y
=7
Find the percent change. 150 pounds to 135 pounds.
Answer:
-10%
Step-by-step explanation:
precent change = 135 - 150
(divide both sides by 150)
precent change = -0.1
(multiply both sides by 100 so change to precent)
precent change = -10%
Answer:
10%
Step-by-step explanation:
3. Is this data linear or nonlinear? Explain how you know.*
Answer:
Non-linear
Step-by-step explanation:
Not consistently increasing
Arrange the numbers in descending order 374430,802343,980377 and 230392,650863,364321
Given f(x) = 2x^3+ 9x + k, and x + 1 is a factor of f(x), then what is the value of k?
Answer:
11Step-by-step explanation:
to understand thisyou need to know about:factor theoremtips and formulas:if f(c)=0 then x-c is a factor of f(x)let's solve:according to the question
2(-1)³+9(-1)+k=0
=>2(-1)+9(-1)+k=0
=>-2-9+k=0
=>-11+k
therefore
k=11
please helpp don’t know how to solve
Answer:
65 cm
Step-by-step explanation:
Hey There!
So the congruency statement ABC = TUV
states that side AB = side TU side BC = side UV and side CA = side VT
The given side lengths are BC and UV which are congruent to each other so we set up an equation to solve for x
7x+2=6x+11
step 1 subtract 2 from each side
2-2 cancels out
11-2=9
Now we have
7x=6x+9
step 2
subtract 6x from each side
7x-6x=x
6x-6x cancels out
now we have 9=x so x=9
Now we just plug in 9 to x in (6x+11)
to find the length of the given side length
6x9=54
54+11=65
Because side VU and side BC are congruent they both equal 65 cm
So we can conclude that the length of the given sides is 65 cm
The1AndOnlyMarkus
Which city had the highest temperature?
Which city had the lowest temperature?
Which city had a temperature greater than Oakland?
What was the difference in temperature between Detroit and Oakland?
degrees Celsius.
ayudaaaa por favor es urgente
Answer:
use trig
Step-by-step explanation:
sin(15) = 100/x
x = 100/sin(15)
use calculator
Which measure describes how much a sample mean varies when different samples are chosen?
A.
sample mean
B.
confidence interval
C.
standard error of the mean
D.
population mean
Answer: The answer is B
Which expression is equivalent to 46 - 2x)?
A) 24-8x
B) 24-6x
C) 10-8x
D) 10-6x
Answer:
24-8x
Step-by-step explanation:
Answer:jghgghfgfhgfhghfj
Step-by-step explanation:
a ratio of 10 to 2 is the same as A 8/2 B 8/10 C 12/8 D 5/1
Answer:
D. 5/1
Step-by-step explanation:
10/2 = 5
5/1 = 5
I hope this helps :)
The height of a right cone is 3 inches shorter than the radius. What is the height of the cone if the volume is 17 cubic inches?
a. 3.454 inches
b. 4.01 inches
c. 7.01 inches
d. 1.01 inches
Answer:
1.03 inches
Step-by-step explanation:
Volume of a come = 1/3πr²h
If the height of a right cone is 3 inches shorter than the radius, then;
h = r - 3
Substitute
V = 1/3πr²(r-3)
Given that V = 17in^3
17 = 1/3πr²(r-3)
17*3 = 3.14r²(r-3)
51/3.14 = r²(r-3)
16.242 = r²(r-3)
r² = 16.242
r = √16.242
r = 4.03
Since h = r - 3
h = 4.03 - 3
h = 1.03 inches
hence the height is 1.03 inches
What is the simplified version of
6(m - 2m) - (4m - 5m) ?
Answer:
-5m
Step-by-step explanation:
6m-12m-4m+5m
-6m+1m
=-5m
given the expression -x^2-6x+7,when expressed in form a(x+h)^2+k, the value of k is?
Answer: k = 16
Step-by-step explanation:
The equation is written in the form:
y = ax^2 + bx + c
y = -x^2 - 6x + 7
y = a(x - h)^2 + k where (h, k) is the vertex
a = -1 (from the original equation)
h = -b/2a (this is the equation for the line of symmetry or the x-value of the vertex)
h = -(-6)/2(-1) = 6/-2 = -3
when x = -3, y = ?
y = -(-3)^2 - 6(-3) + 7
y = -(9) + 18 + 7
y = -9 + 18 + 7
y = 16
(-3, 16) is the vertex
Since k is the y-value of the vertex, k = 16
I'll just take it a step further and write the whole equation:
Substitute all the values we found
-1(x +3)^2 + 16
-(x + 3)^2 + 16
Mr. Locke was paid $190 for a job that required 40 hours of work. At this rate, how much would he get paid for a job that requires 60 hours of work?
simplify 125×t-⁴/5-³×625×t-⁸
Answer:
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{m}*a^{n}=a^{m+n}\\\\\frac{125t^{-4}}{5^{-3}}*625*t^{-8}\\\\=\frac{5^{3}t^{-4}}{5^{-3}}*5^{4}*t^{-8}\\\\=5^{3-[-3]+4}*t^{-4-8}\\\\=5^{3+3+4}t^{-12}\\\\=5^{10}t^{-12}\\\\=\frac{5^{10}}{t^{12}}[/tex]
It’s due tonight help please
Answer:
:)
Step-by-step explanation:
A) 4,4
B) 2,2
C) 4,3
Hope this helps