[tex]\\ \sf\longmapsto 12x-15[/tex]
Distributive property
A(B+C)=AB+ACTake 3 common
[tex]\\ \sf\longmapsto 3(4x-5)[/tex]
Done
100 POINTS!! WILL MARK BRAINLIEST
NEED RESPONSE ASAP PLEASE AND THANK YOU!!
A feasible region is bounded by the constraints:
y ≤ 20-x
{ y ≥ 20-4x
y ≥ 5-0.25x
The objective function is P = 3x + 5y.
(a) Graph the feasible region.
(b) Find the value of the objective function at each vertex of the feasible region.
(c) What is the minimum value of the objective function, P?
(d) At which vertex point does the minimum value occur?
Show all work.
Answer:
1) b. at vertex ( 0,20) P = 5(20) = 100 at vertex ( 4,4) P = 3(4) + 5(4) = 32 at vertex (20,0) P = 3(20) = 60 c. x = 4 , y = 4 2) x-intercepts x 1 = 1.66667, ...
Step-by-step explanation:
Solve the equation below 2(t+4)=7+5(t-4)
Answer:
t= 7
Step-by-step explanation:
2(t +4)= 7 +5(t -4)
Expand:
2t +2(4)= 7 +5t +5(-4)
2t +8= 7 +5t -20
2t +8= 5t -13
Bring constants to one side, t terms to the other:
5t -2t= 13 +8
Simplify:
3t= 21
Divide both sides by 3:
t= 21 ÷3
t= 7
Hyung-Jin did an analysis of starting salaries of elementary school teachers in his area. He called three schools and was quoted the following salaries: \$28,300,\$27,000 , and $ 3,000, . What is the average salary in his area? Show your work.
Answer:
average - $19,333.33
Step-by-step explanation:
$28,300, $27,000 , and $ 3,000
total =58,000/3 = 19,333.33
Give all solutions in degrees.
2 sin 0 tan 0 - 13 tan 0 = 0
Answer:
The left side 0 is equal to the right side which means that the given statement is always true.
Step-by-step explanation:
there are 364 people in town for a conference. They have to go from the airport to the hotel and travel 12 people in a van. How many vans are needed?
Total number of people = 364
Number of people in 1 van = 12
Number of vans required = ?
Number of vans required = 364 / 12
= 30.33
But there's a remainder, so for the remaining few people to go you'll need an extra van. So, you need 31 vans.
=》Answer = option C. 31
______
RainbowSalt2222 ☔
6/7 = x/11 round to nearest tenth
Answer:
66/7 or 9.429 or 9 [tex]\frac{3}{7}[/tex]
Step-by-step explanation:
6/7=x/11
Multiply by 11 to get x alone
Multiply (6/7) by 11 to get 9.42857143=x
What is meant by permutations ?
Answer:
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items with a certain order.
Answer:
Permutations mean each of several possible ways in which a set or number of things can be ordered or arranged.
Step-by-step explanation:
_ please answer this question .
Answer:
For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.
For the "Standard" column, it will be
7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get
y = -7/2x + 3.)
For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵
This is the point-slope formula.⤵⤵⤵
[tex]y - y _{1} = m(x - x _{1})[/tex]
For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.
So we have: y - (-4) = -7/2(x-2).
In other words, "Point Slope" would be
y + 4 = -7/2(x-2).
By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)
PLEASE HELP!! PLEASE AND THANK YOU!
Answer:
50.05 feet
Step-by-step explanation:
The tower have 32.57 feet, and you can find it using the same method than I used in your other question
Now you find the length of the guy wire using the Pythagorean theorem:
38²+32.57² = guy wire²
2504.8 = guy wire²
guy wire = √2504.8
guy wire = 50.05 feet
Help plzdlkkdkkdkdnnzkzkzkskskeme
Answer:
ofc 8 there are 8 post card ♦️
Answer:
222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222
Step-by-step explanation:
22222222222222222222222222222222222222
two one dollar bills are exchanged for 14 coins all of which are either quarters or dimes. how many dimes were in the exchange
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−
6
. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−6. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Step-by-step explanation:
1.A
2.A
3.A
4.C
5.A
6.A
7.C
8.D
9.A
10.C
11.C
12.C
13.D
14.B
15.B
16.A
17.C
18.A
19.B
20.C
21.B
22.D
23-27 Write in
Aby has a cell phone plan that charges $12 a month for the first 50 minutes and 5 cents for every minute after that. If she was charged $15.45 last month, how many minutes did she talk?
60
Step-by-step explanation:
Tia types 66 words in 3 minutes. She wants to know how many words she can type in 5 and 10 minutes if she keeps the same rate. How many words does Tia type in 1 minute? how many did she type in five minutes
Answer: 5 mins 110 words10 mins 220 words.
Step-by-step explanation: Tia types 66/3 = 22 words per minute.
Therefore in 5 mins she types 5*22 = 110 words and in 10 mins she types
22 * 10 = 220 words. Hope this helps! lol!
5.6p-3=-9+2(p+7) in a five step equation.
Answer:
p=2
Step-by-step explanation:
6p-3=-9+2(p+7)
6p-3=-9+2p+14 Distributive Property
6p-3=2p+5 Combine like terms/ Simplify
+3 +3
━━━━━━
6p=2p+8 Addition Property of Equality
-2p -2p
━━━━━━
4p=8 Subtraction Property of Equality
━ ━
4 4
p=4 Division Property of Equality
could you show me the step please and thank you
[tex]\dfrac{(2 x^{-3} y^{-2})^5}{(6x^{-1} y^{-8})^2}\\\\\\=\dfrac{32x^{-15} y^{-10}}{36 x^{-2} y^{-16}}\\\\\\=\dfrac{8}{9} \left(\dfrac{x^{-15}}{x^{-2}} \right) \left(\dfrac{y^{-10}}{y^{-16}} \right)\\\\\\=\dfrac 89 \left(x^{-15+2} \right) \left(y^{-10 +16} \right)\\\\\\=\dfrac 89 \cdot x^{-13} \cdot y^6\\\\\\=\dfrac{8y^6}{9x^{13}}[/tex]
[tex](8+0+-2²-7)²+7[/tex]
[tex](8+0-2A^{2} -7 )A^{2} +7= (1-2A^{2} )A^{2}+7 = A^{2} -2A^4 +7[/tex]
ok done. Thank to me :>
express the following as decimal. 25/1000
20/50
3/50
2/3
Answer:
[tex]\frac{25}{1000}[/tex] = 0.025
[tex]\frac{20}{50}[/tex] = 0.4
[tex]\frac{3}{50}[/tex] = 0.06
[tex]\frac{2}{3}[/tex] = 0.(66) or 0.66666666666666666
A rectangular container of length 40cm and width 36cm was filled with 57600cm cubic of water.find the depth of the water in the container
Answer:
40
Step-by-step explanation:
The radius of a cycle wheel is 35 cm. Find the number of turns required to cover a distance of 1540 m
Answer:
1 I think can you make sure?
b. Write an equation of the line perpendicular to
x + 2y = 6 through (8,3).
Answer:
y = 2x + 13 or -2x + y = 13
Step-by-step explanation:
1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...
2y = -x + 6 - > y = -1/2x + 3
2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...
y = 2x + b
3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)
3 = 2(8) + b
3 = 16 + b
-13 = b
b = 13
4) Now, we know that b = 13 and the slope is 2. Therefore...
y = 2x + 13
Also note, if you want this equation in standard form, it would be...
-2x + y = 13
How many times farther is Jupiter from the Sun than Venus? How many times farther is Saturn from the Sun than Mars? Round your answers to the nearest tenth.
The Jupiter is 6.93 times farther from the Sun than Venus
The Saturn is 6.29 times farther from the Sun than Mars
Distance between the sun and Jupiter = 748.02 million km
Distance between the sun and venus = 108.01 million km
Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 748.02/108.01
Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 6.93
Therefore, the Jupiter is 6.93 times farther from the Sun than Venus
Distance between the Sun and Saturn = 1.4823 billion km = 1482.3 million km
Distance between the Sun and Mars = 235.66 million km
Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 1482.3/235.66
Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 6.29
Therefore, the Saturn is 6.29 times farther from the Sun than Mars
Learn more here: https://brainly.com/question/25729845
(X-3)(X-1)
Expand and simplify
[tex](x-3)(x-1)\\\\=x(x-1) -3(x-1)\\\\=x^2 -x -3x +3\\\\=x^2 - 4x+3[/tex]
Using the formula find the slope of a line with these two points (2,10) and (5,15).
Answer:
Step-by-step explanation:
[tex]\left(x_{1},y_{1} \right) = (2,10)\\\\(x_{2},y_{2}) = (5 ,15}\\\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{}15-10{5-2}=\dfrac{5}{3}\\\\\\= \dfrac{5}{3}[/tex]
Answer:
slope = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 10 ) and (x₂, y₂ ) = (5, 15 )
m = [tex]\frac{15-10}{5-2}[/tex] = [tex]\frac{5}{3}[/tex]
Can someone solve plzzz .
Answer:
you have to use multiplication maybe division and addition
Step-by-step explanation:
What is the solution of 2x-5(x-4)=-8+5x-12.
Answer:
x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Jenifer is the high scorer on his basketball team. He made 36 free throws out of 50 free throws attempted. What was his percentage of free throw shots made?
Answer:
72%
Step-by-step explanation:
36/50 = 0.72
0.72 x 100 = 72%
HELP ME RN PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer:
got ub the naswers is 5x+y==6
Step-by-step explanation:
Lilly wants to buy a tablet that costs $88.00. Her dad said that he would pay 25% of the cost. How much money will her father contribute towards the tablet? What is the proportion?
Answer:
22 dollars
Step-by-step explanation
If you multiply 88* the percent you will get 22. That means that Lily's dad will contribute 22 dollars to buying her tablet.
A=1/2bh solve for h