Answer:
The average decrease each year is 60 because 300 divided by 5 is 60.
HOPE THIS HELPS
Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP
Answer:
(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]
(2) [tex]3x + 2y\leq[/tex] 24
(3) [tex]x+4y\leq 28[/tex]
Step-by-step explanation:
Let x and y be the numbers of rockers and swivels made by Ethan.
(1) Since the number of chairs can't be negative. So,
x\geq0 and y\geq 0 are the two constraints.
(2) He can work a maximum of 24 hours.
The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.
So, the time required to make x rocker chair = 3x hr
and the time required to make y swivel chair = 2y hr.
The total time required is 3x + 2y hr which can't be more than the available time, 24 hr.
So, the required constraint is
[tex]3x + 2y\leq 24[/tex]
(3) Similarly,
As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.
So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.
So, the required constraint is
[tex]2x + 8y\leq 56[/tex]
[tex]\Rightarrow x+4y\leq 28.[/tex]
what is the answer to 6y * 88 = 88 * 6y
Answer:
0 or No solutions
Step-by-step explanation:
hope this helps!
i need help answering the questions using distributive property. i already know the answers 3. will give brainliest.
Answer:
Hello
Step-by-step explanation:
by what i understood the awnser should be c
do you guys know this by any chance
Answer:
[tex]10^{17}[/tex]
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
can someone PLEASE help me on this PLEASE.
The given table of values represents a linear equation. What is the slope?
Answer:
2
Step-by-step explanation:
slope=∆y/∆x
slope=(9-7)÷(3-2)
slope= 2.
If f(x) = -2 cos x, findf(-300 º). Do not use a calculator.
Answer:
- 1
Step-by-step explanation:
Using the trigonometric identity
cos(- x) = cosx and exact value cos60° = [tex]\frac{1}{2}[/tex]
Given
f(x) = - 2cosx , then
f(- 300° )
= - 2cos(- 300)°
= - 2cos(300)°
= - 2cos(360 - 300)°
= - 2cos60°
= - 2 × [tex]\frac{1}{2}[/tex]
= - 1
Rachel earned $ 34 $34dollar sign, 34 in 4 44 hours at her job today. She wants to know how much she could earn ( e ) (e)left parenthesis, e, right parenthesis tomorrow if she works 10 1010 hours at the same hourly rate. How much will Rachel earn in 10 1010 hours? $
Answer:
Rachel earn $85 in 10 hours.
Step-by-step explanation:
Rachel earned $34 in 4 hours at her job today. It means we can find his earning in 1 hour.
1 hour = $(34/4)
= $8.5
He earns $8.5 in an hour.
To find his earning in 10 hours, multiply $8.5 by 10. So,
Earning = $8.5 × 10
= $85
Hence, Rachel earn $85 in 10 hours.
Answer:
85
Step-by-step explanation:
I am right
Enter the correct answer in the box by replacing the values of m and b.
Answer:
f(x) = -2x + 5 Plato
Step-by-step explanation:
2. Express each of the following percentages as
a decimal.
(a) 4%
(b) 633%
Answer:
a. 0.04
b. 6.33
Step-by-step explanation:
a. If we want to convert into decimal we need to divide it by 100 then answer will 0.04
4/100 = 0.04
b. If we want to convert into decimal we need to divide it by 100 then answer will 6.33
633/100 = 6.33
3/4 change 3/4 to a decimal show work
Answer:
0.75
Step-by-step explanation:
You just need to convert 3/4 into a decimal.
For example: If you get 3 out of 4 problems right on a quiz, in percent form it will be a 75%, in decimal form 0.75 because you'll move the percent sign 2 spaces to the left. That will then be a decimal if you're converting 75% to 0.75.
3 divided by 4 is also going to give you 0.75. Because, a "fraction slash" is the dividing point. So,
3/4 = 0.75
How are lines KL and MN related?
O The lines intersect at point K.
O The lines are parallel.
O The lines are perpendicular.
O The lines do not have slopes,
The lines KL and MN perpendicular to each other.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
If a line passes through two points, then the slope of the line is
m = y2-y1/x2-x1
From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).
The slope of line KL is
m = 0
The slope of line KL is 0, it means it is a horizontal line.
From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).
The slope of line MN is
m = 1/0
The slope of line MN is 1/0 or undefined, it means it is a vertical line.
We know that vertical and horizontal lines are perpendicular to each other.
Therefore the lines KL and MN perpendicular to each other.
To learn more on slope click:
brainly.com/question/3605446
#SPJ7
sally picked 6 and 2-thirds pounds of apples. She used 1-half of the apples she picked to make pies. Question How many pounds of apples did Sally use to make pies? Move numbers to the boxes to show the answer.
Answer:
[tex]3 \frac{1}{3}[/tex]
Step-by-step explanation:
We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D
Which of the following is both a perfect square and a perfect cube?
64
16
81
1,000
I know the answer is 64, but how? Can someone please explain me to me how to work this out?
1+2x6+7= -13
where do i have to put the parenthesis so its correct
Answer:
you have to but it back 2 times
Step-by-step explanation:
ir is because it should be back 2 rimes
X^2+ 17x+91=0
Help please!!
Answer:
x^2+17x+91=0
a = 1; b = 17; c = +91;
Δ = b2-4ac
Δ = 172-4·1·91
Δ = -75
Delta is less than zero, so there is no solution for the equation
Step-by-step explanation:
find the cube of 2.9
[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]
Answer:The cube of [tex]2.9[/tex] is [tex]24.389[/tex].
HELP PLEASE HS GEOMETRY 50 POINTS!!!!!
Answer: 1,6,3,8
Step-by-step explanation: that one, and its opposite and the other one is the same
Answer:
1, 3, and 8
Step-by-step explanation:
You should know this because, 88 degrees and 2 are in a straight line which there means that 2 would be 92 degrees. So every length would be slightly shorter or longer than the other. As you can observe 1, 3, and 8 other than 6 are all the ones that are slightly shorter than their counterpart 2, 4, 5, and 7. Which means that 1, 3, and 8 all equal 88 degrees just like 6.
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area?
Answer:
315
Step-by-step explanation:
5 x 7 = 35
280 + 35 = 315
There sth answer
Answer:7 inches → 280 yards
1 inch → 280 ÷ 7 = 40 yards
5 inches → 40 x 5 = 200 yards
Area = 280 x 200 = 56 000 yards
hope this help btw i am 12
Step-by-step explanation:
¡¡ANSWER MY QUESTION FIRST¡¡
Can you help me with these questions, please?
Answer:
∠5 = 70°
∠8 = 130°
Step-by-step explanation:
Since ∠5 and ∠1 are equal they will both equal 70°
Since ∠6 and ∠8 are also equal they will both equal 130°
Hope this helps
Plz mark brainliest
Multiply. −2⋅(4)⋅(−3)⋅(5) −120 −4 4 120
Answer:
-44120
Step-by-step explanation:
Look at the picture to see question plz help quickly and step by step
Answer: 16.6
Step-by-step explanation:
A restaurant charged Ms. Smith $120 for dinner,
while at dinner she met with a friend and they had a
great conversation about the 25 animals at the zoo.
When dinner was over she left a 15% tip. How much
was the tip amount?
An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458
Answer:
Minimum unit cost = 5,858
Step-by-step explanation:
Given the function : C(x)=x^2−520x+73458
To find the minimum unit cost :
Take the derivative of C(x) with respect to x
dC/dx = 2x - 520
Set = 0
2x - 520
2x = 520
x = 260
To minimize unit cost, 260 engines must be produced
Hence, minimum unit cost will be :
C(x)=x^2−520x+73458
Put x = 260
C(260) = 260^2−520(260) + 73458
= 5,858
can somebody help me pleaseee ?? it’s due soon & im stuck .
Answer:
a. lenqth=32 , width=2
b. m∠p=100 m∠Q=50 m∠R=30
c. XY=20 YZ=12
d.m∠1=90 m∠2=90
Step-by-step explanation:
a. the area of a rectangle is length×width so to find the possible sizes for L and W we need to list the factors (multiplication of two numbers to get 64) of 64, which are,
1 AND 64 (this answer is suitable but it's better to choose another
one if available for more accuracy)
2 AND 32 (this is a good answer to use)
4 AND 16 (this one already used in the question)
8 AND 8 (this answer will be wrong as the sizes need to be different because it's a rectangle but it will be good for square)
SO we will choose 2 AND 32 for the answer and we can put them in any order we want.
b. first of all acute angles are angles measured less than 90 degrees. so to have at least one angle not acute we use measures up to 90 degrees.
I will put one answer as 100 degrees (note you can use any number above 90 to not be an acute angle) and the other answers will be two numbers add up to be 80 degrees (and again you can choose any numbers for that).
c. the two answers should add up to be 32 so for this counterexample we can choose any two numbers to have the sum of 32 (remember that 16+16 already chosen in the question.
d. two supplementary angles are two angles add up to be 180 degrees so for this question we need to find two angles sum to 180 and not obtuse (that mean 90 degrees or less) and the only answer can appear is 90+90=180.
Find the distance between V (4.4) and X (5.8). Round to the nearest tenth, if necessary. about units
Answer:
V= 5 X=6
Step-by-step explanation:
A 20 gallon tank is full. How many gallons are in the tank?
Answer:
20???
Step-by-step explanation:
Write each equation/inequality in slope-intercept form.
y- 5 = 1/3 (x-6)
Answer:
Your answer is: y = 1/3x + 3
Use the formula y = mx + b
Step-by-step explanation:
Hope this helped : )
A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800.
Answer:
The number of tickets for sale at $26 should be 3300
The number of tickets for sale at $40 should be 1700
Step-by-step explanation:
Use 2 equations to represent the modifiers within the problem:
[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]
Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.
[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]
The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8)P, left parenthesis, x, right parenthesis, equals, minus, 15, x, left parenthesis, x, minus, 8, right parenthesis What current will produce the maximum power?
Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
[tex]P(x)=-15x(x-8)[/tex]
To find:
The current which will produce the maximum power.
Solution:
We have,
[tex]P(x)=-15x(x-8)[/tex]
[tex]P(x)=-15x^2+120x[/tex]
Differentiate with respect to x.
[tex]P'(x)=-15(2x)+120(1)[/tex]
[tex]P'(x)=-30x+120[/tex] ...(i)
To find the extreme point equate P'(x)=0.
[tex]-30x+120=0[/tex]
[tex]-30x=-120[/tex]
Divide both sides by -30.
[tex]x=4[/tex]
Differentiate (i) with respect to x.
[tex]P'(x)=-30(1)+(0)[/tex]
[tex]P'(x)=-30<0[/tex] (Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer:
its 4 amperes
Step-by-step explanation:
khan said so
The altitude of a helicopter increase is 1000 feet every four minutes. What is the unit rate of change (feet per minute) of the altitude?
Answer:
250 feet per minute
Step-by-step explanation:
1000 divided by 4 is 250. You divide them by each other because if you multiply 250 feet by 4 minutes, you get 1000.
(brainliest?)