Answer:
[tex]L + 2K = 200[/tex]
Step-by-step explanation:
Given
[tex]E=1000[/tex] --- Expenditure
[tex]L=200[/tex] --- Labor
[tex]K = 100[/tex] --- Capital
Required
Determine the budget line
First, we calculate the units of labor
[tex]U_1 = \frac{E}{L}[/tex]
[tex]U_1 = \frac{1000}{200}[/tex]
[tex]U_1 = 5[/tex]
Next, the units of capital
[tex]U_2 = \frac{E}{K}[/tex]
[tex]U_2 = \frac{1000}{100}[/tex]
[tex]U_2 = 10[/tex]
The budget line equation is:
[tex]U_1 * L + U_2 * K = E[/tex]
At this point, we take L and K as variables.
So, the equation becomes
[tex]5* L + 10* K = 1000[/tex]
[tex]5 L + 10K = 1000[/tex]
Divide through by 5
[tex]L + 2K = 200[/tex] -- Budget line equation
The diargram show a right show a right -angle and a parallelogram the area of the parallelogram is times the area of the traiangle and its perpendicular height is h cm find the value of h
Question:
The diagram shows a right -angle and a parallelogram. The area of the parallelogram is 5 times the area of the triangle. The perpendicular height of the parallelogram is h. Find h
Answer:
[tex]h =12cm[/tex]
Step-by-step explanation:
Given
Triangle
[tex]Base = 9cm[/tex]
[tex]Height = 16cm[/tex]
Parallelogram
[tex]Base = 30cm[/tex]
[tex]Height = h[/tex]
Calculate the area of the triangle
[tex]Area = 0.5 * Base * Height[/tex]
[tex]Area = 0.5 * 9cm * 16cm[/tex]
[tex]Area = 72cm^2[/tex]
When multiplied by 5, gives the area of the parallelogram.
So:
The area of Parallelogram is:
[tex]Area = Base * Height[/tex]
[tex]Area = 30cm * h[/tex]
This gives:
[tex]30cm * h = 72cm^2 * 5[/tex]
Make h the subject
[tex]h = \frac{72cm^2 * 5}{30cm}[/tex]
[tex]h = \frac{72cm^2}{6cm}[/tex]
[tex]h =12cm[/tex]
determine the measure of each angle. 4x - 90= ? Degree
Answer:
4x - 90= 90
Explain:
Simplifying
(4x + -90) = 90
Reorder the terms:
(-90 + 4x) = 90
Remove parenthesis around (-90 + 4x)
-90 + 4x = 90
Solving
-90 + 4x = 90
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '90' to each side of the equation.
-90 + 90 + 4x = 90 + 90
Combine like terms: -90 + 90 = 0
0 + 4x = 90 + 90
4x = 90 + 90
Combine like terms: 90 + 90 = 180
4x = 180
Divide each side by '4'.
x = 45
Simplifying
x = 45
write y=2/3x +5 in standard form
Answer:
2x-3y=-15
Step-by-step explanation:
y=2/3x+5 and write in standard form.
and you come up with 2x-3y=-15.
PLS HELP ME IM AWARDING BRAINLIEST!
Answer:
200.96ft^2
Step-by-step explanation:
Diameter of the circular area of grass that the sprinkler sprays with water is 16 feet.
Divide the diameter by 2 to get its radius
Radius of the circle = Diameter of the circle / 2
so, 16 feet / 2 = 8 feet
Area of the circle is π times the square of the radius
Area of the circle = π × r² = 3.1415 × 8 feet = 201.056 square feet.
Closest answer will be 200.96ft^2
Answer:
3rd one :>
Step-by-step explanation:
what is 2,700 divide by 90
Answer:
30
Step-by-step explanation:
It's the same as 27 divided by 9, but with more 0's.
4. (A). Use the digits 1, 6, 7 and 5 to form the greatest 4-digit even
number.
(B). Divide the answer in (A) by 8.
Answer:
A)5176
B)647
Step-by-step explanation:
5176 is the highest even number that is divisible by 8
Step-by-step explanation:
7-5= 2
5-1= 4
5+1 =6
7+1= 8
therefore, the four digits even number are 2,4,6,8
Willa and her friend decide to hang out at her friend’s house after basketball practice on Friday to listen to a new album by their favorite band. They have a great time listening to the music and Willa deliberately ignores texts from her dad. When she gets home, her dad is really upset with her. He didn’t know where she was. He has a rule that he needs to know where she is and that she has to ask permission before she goes anywhere. Willa thinks that since she’s in eighth grade, she shouldn’t have to do this anymore. Her dad should trust her more. Willa tells her dad that she’s not a little kid anymore and storms off to her room and slams the door.
Need help with this;
Answer:
See belowStep-by-step explanation:
Deposit amount P = $4200Interest rate r = 3 1/2% = 3.5% = 0.035 PA compounded semiannuallyCompound n = 2 per yearCalculations as per following questions
a. I = $4200*(0.035/2) = $73.5b. A = $4200 + $73.5 = $4273.5c. I = $4273.5*(0.035/2) = $74.79d. A = $4273.5 + $74.79 = $4348.29e. I = $4348.29 - $4200 = $148.29f. I = $4200*0.035 = $147WHAT IS EQUIVALENT TO THE INEQUALITY 2X>6?
Answer:
x > 3
Step-by-step explanation:
Simply isolate the inequality to get a equivalent inequality. Treat the sign > like an equal sign, what you do to one side, you do to the other side of the inequality.
Isolate the variable, x. Divide 2 from both sides of the equation:
(2x)/2 > (6)/2
x > 6/2
x > 3
x > 3 is your equivalent inequality.
~
What is the equation of the line through the origin and (3, 4)?
A. y = 3x
B. y = fx
C. y= 4x
D. y = 2
SUB
Answer:
a
Step-by-step explanation:
if 3and 4 origin it a would be your answer
Francesca is growing 1/2 inch each year. How many years will it take her to grow 6 inches?
Answer:
3 years.
6÷ .5= 3
edit:
brain fart! sorry!
12 years.
...........
Answer:
12 years
Step-by-step explanation:
if its 1/2 an inch every year that 1 inch every 2 years so six inches will take her 12 years
PLEASE HELP FAST 20 POINTS! Housing prices are often reported using a median. Why is median used in this case? Would arithmetic mean or mode reasonable for comparing housing prices?
Step-by-step explanation:
The red line in the graph above measures the median home price, and this is often a better "average" for us to be used with home prices and home values. Unfortunately, it is not as easy to calculate and it does not work well with tiny data sets, so we often only see it used with very large data sets (like whole Cities, States, etc.) produced by the large real estate aggregators. Additionally, not many real estate agents know how to generate them for neighborhoods or zip codes (but we can at the Tallahassee Real Estate Blog :)).
if you cycled for 3 hours and travelled 54 km calculate your average speed
Answer:
18 km/h.
..
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
Answer:
Step-by-step explanation:
[tex]s=\frac{d}{t}\\ \\ s=\frac{54km}{3hr}\\ \\ s=18\frac{km}{hr}[/tex]
Help me? pls...... :)
Answer: its c
Step-by-step explanation: if not then im sorry for the wrong answer
Answer:
7 units
Step-by-step explanation:
Friction is not related to the efficiency of a machine.
True or False
Answer: False, Step-by-step explanation: Genuine mechanical benefit and ideal mechanical benefit are not equivalent. Valid. Work yield can never be more prominent than work input.
Which is an equation of the line that passes through the points (2, 3), (6, 7), and (8, 9)?
Answer:
y=x+1
hope this helps
Two numbers have a sum of 76 and a difference of 8. What is
the larger number?
A. 68
OB. 42
O C. 46
D. 34
The camp cook made 3 1/2 pints of baked beans. Each serving of beans is 1/2 of a pint. How many servings of beans did the cook make?
Answer:
The cook made 7 pints
Step-by-step explanation:
Just minus the half pints
how many 3/4s are in 1
Answer and Step-by-step explanation:
There is [tex]1\frac{1}{3}[/tex] [tex]\frac{3}{4}[/tex] in the number 1.
#teamtrees #PAW (Plant And Water)
Help me out, please!! Find the value of x in the given right triangle
Answer:
x ≈ 44.4°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{10}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{7}{10}[/tex] ) ≈ 44.4° ( to the nearest tenth )
The mean number of books read
last year by a group of students is
normally distributed with a mean of 10
and a standard deviation of 6. If Austin
is 0.5 standard deviations below the mean
and Kaleigh is 2 standard deviations
above the mean, how many more books
did Kaleigh read than Austin?
Answer:
I thing Kaleigh read 1.5 more than Austin
Step-by-step explanation:
i need answers fast plz im stuck
Answer and Step-by-step explanation:
The answer is D.
The rate of the function will be 3.5, while the initial amount is 15, so you do y - 3.5x + 15.
#teamtrees #PAW (Plant And Water)
A lap around a track is
2/5 of a mile
How many laps is a 11/2
Answer: 4 laps
Step-by-step explanation:
At a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit originally cost?
Answer:
$160
Step-by-step explanation:
Let the original cost of suit be x
If the suits were sold for $72 each and this price was 45% of a suit's original price, then;
72 = 45% of x
72 = 0.45x
x = 72/0.45
x = 160
Hence the original price of the suit is $160
Answer:
160
Step-by-step explanation:
got it correct ig lol
Ben's account balance is $27.32. Cam's account balance is -$18.99
Which account matches each description?
Ben's account Cam's account
Has a greater balance
Has more debt
-27.32
-18.99
+
0
Note: Banks use negative balances to represent an account with debt, and positive balances to represent an
account that contains value.
Sorry it cut of on the end I put everything here
Answer:
Cam has a greater balance and Ben has more debt.
Answer: Ben has more debt
Cam has a greater balance
Step-by-step explanation:
x^2-6x+9=0 I need help
Answer:
We have the quadratic [tex]x^{2} - 6x + 9[/tex] which can factor into [tex]\boxed{(x - 3)(x - 3)}[/tex]
Hope this helps!
How do u evaluate 4(x-5)
Answer:
4 − 2 0
Step-by-step explanation:
Answer: 4x * -20
Step-by-step explanation:
Do 4*x = 4x
Do 4 *-5 = -20
4x * -20
A group of friends met for dinner to get some pizza each friend ate 2/3 of a pizza enter the total amount of pizza the frends ate
Answer: See explanation
Step-by-step explanation:
You didn't specify the number of friends which is missing in the question. To solve this question, we need to know the number of friends but let's assume that the number of friends are 6.
Since each friend ate 2/3 of a pizza and there are 6 friends, the total amount of pizza the frends ate will be:
== 2/3 × 6
= 4 pizzas
(yz)log y - logz . (zx)log 2 - log x
- (xv) log x-logy = 1
Answer:
yz)
log(
z
y
)
.(zx)
log(
x
z
)
.(xy)
log(
y
x
)
=
⎣
⎢
⎢
⎡
x
log(
x
z
)
.x
log(
y
x
)
⎦
⎥
⎥
⎤
×
⎣
⎢
⎢
⎡
y
log(
z
y
)
.y
log(
y
x
)
⎦
⎥
⎥
⎤
×
⎣
⎢
⎡
z
log(
z
y
)
.z
log(
x
z
)
⎦
⎥
⎤
=x
log(
y
z
)
.y
log(
z
x
)
.z
log(
x
y
)
=(x
logz−logy
).(y
logx−logz
).(z
logy−logx
)
=
x
logy
x
logz
.
y
logz
y
logx
.
z
logx
z
logy
=
y
logx
x
logz
.
z
logy
y
logx
.
x
logz
z
logy
=1
Please help. Will give brainliest
Answer:
Step-by-step explanation:
(-2,2) lies above the vertex, so the parabola opens upwards.
Vertex-form equation for an up-opening parabola with vertex (-5,-1):
y = a(x+5)² - 1, a>0
Plug in (-2,2) and solve for a:
2 = a(-2+5)² - 1
a = ⅓
Equation of parabola:
y = ⅓(x+5)² - 1