Step-by-step explanation:
[tex]{:}\longrightarrow[/tex][tex]\sf 2 (x+4)+(x+1)=6 (2x)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x+8+(x+1)=12x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x+8+x+1=12x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x+x+8+1=12x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x+9=12x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 12x=3x+9 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 12x-3x=9 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 9x=9 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {9}{9}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=1 [/tex]
What is the equation of the line that passes through the point (-6, -2) and has a
slope of 1/6
Step 1: Determine b by using the point (-6,-2), the given slope, and the slope intercept formula, y = mx + b.
[tex]y = mx + b\\\\-2 = \frac{1}{6}(-6) + b\\\\-2 = -1 + b\\\\-1 = b[/tex]
Step 2: Now that we have b, we can determine the equation of the line.
[tex]y = \frac{1}{6}x -1[/tex]
I didn't use + (-1) because b is negative. Therefore you need to change the equation from y = 1/6x + (-1) to y = 1/6x - 1.
Andrew, who is ill, takes vitamin pills. Each day, he must take at least 16 units of myra X, at least 5 units of myra Y, and at least 20 units of myra Z. He can choose between tablets and capsules. Each tablet contains 8 units of myra X, 1 unit of myra Y, and 2 units of myra Z, while each capsule contains 2 units of myra X, 1 unit of myra Y and 7 units of myra Z. The cost per tablet is Php15, and Php30 per capsule. How many tablets and capsules should he buy in order to minimize his cost?
Answer:
z (min) = 105
x₁ = 3
x₂ = 2
Step-by-step explanation:
Let´s call x₁ (number of tables) and x₂ ( number of capsules)
assuming it is only possible to get a whole table or capsule we have:
Table x₁ 8 u myra X 1 u of myra Y and 2 u of myra Z
Capsule x₂ 2 " 1 " and 7 u "
Objective function
z = 15* x₁ + 30* x₂ to minimize
First constraint ( Myra X )
8*x₁ + 2*x₂ ≥ 16
Second constraint ( Myra Y )
x₁ + x₂ ≥ 5
Third constraint ( Myra Z )
2*x₁ + 7*x₂ ≥ 20
General constraints x₁ ≥ 0 x₂ ≥ 0 both integers
Then the model is:
z = 15 * x₁ + 30 * x₂ to minimize
Subject to
8*x₁ + 2*x₂ ≥ 16
x₁ + x₂ ≥ 5
2*x₁ + 7*x₂ ≥ 20
x₁ ≥ 0 x₂ ≥ 0 both integers
As the constraints, all are of the form ≥ we have to subtract surplus variables sₐ and add artificial variables Aₐ
sₐ ≥ 0 Aₐ ≥ 0
The first table is
z x₁ x₂ s₁ s₂ s₃ A₁ A₂ A₃ = Cte
1 - 15 - 30 0 0 0 M M M = 16
0 8 2 -1 0 0 1 0 0 = 5
0 1 1 0 -1 0 0 1 0 = 20
0 2 7 0 0 -1 0 0 1 = 20
Using AtoZmax and after 6 iterations we find
z (min) = 105
x₁ = 3
x₂ = 2
I just need help with the ones without slashes so 25 27 29 and 31
Answer:
25) 16
27) 12
29) 648
31) -243
Step-by-step explanation:
25) -4^2 = 16
27) -4 x 3 = -12
29) (-6 x -4) x (3 x 3 x 3) = 25 x 27 = 648
31) -(3) x 9^2 = -3 x 81 = -243
Please mark as brainliest, thank you.
A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of items produced weigh between "100 grams and the mean" weight 49.18% weigh between the "mean and 190 grams."
Answer:
0.418878 I think thats the answer look in the explanation if you need.
Step-by-step explanation:
Compute answer to nearest "whole" number: A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of items produced weigh between 100 grams and the mean" weight 49.18% weigh between the "mean and 190 grams." Calculate the standard deviation. Do NOT format answer: No $, Commas, %. Question 48 5 pts Compute answer to nearest "whole" number: A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of items produced weigh between 100 grams and the mean" weight 49.18% weigh between the "mean and 190 grams." Calculate the mean weight. Do NOT format answer: No $. Commas, %.
how do I know what goes on the top number line and on the bottom number line?
Please explain this
I don't want the answer but how you get the answer and what number goes on the top and bottom of the 2 number lines, and how do you know what number goes there (on the number line).
Answer:hmm I don’t fully understand what you mean because there is no bottom of the number line it started at zero so all you have to do is fill the line in.
Step-by-step explanation:
9514 1404 393
Answer:
get a clue from the problem statement, figure out what you need to help you solve the problem
Step-by-step explanation:
You need to read and understand the entire problem. Different parts of it give you different clues as to how to arrive at appropriate number lines.
Here are some of them:
groups of 3 red cups and 2 blue cups are circled, telling you that 3 red corresponds to 2 blue, and that this combination is one batcheach number line has 4 tick markspart b asks for the number of blue associated with 12 red (so you might want to make sure the numbers on the red number line go that high)part c asks for the number of reds associated with 6 blues (so you might want to make sure the blue numbers go that high)the questions are about "batches", so the tick marks may want to correspond to batches in some wayThe double number line is a tool, just as any diagram is a tool to help you solve a problem. You choose the way you draw it so that it is of help to you in answering the questions asked.
A horse gallops 8 miles in 30 minutes. How many hours would it take the horse
to gallop
28 miles?
2.
A line passes through the points (5, 4)
and (-5,0).
(a) Write an equation of the line in
slope-intercept form.
Will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Scientists have discovered that the inner core of Earth is a solid while the outer core is a liquid. What is the cause of this observation?
The outer core has a higher temperature and more pressure than the inner core
The outer core has a lower temperature and lower pressure than the inner core
The inner core has a lower temperature and higher pressure than the outer core
The inner core has a higher temperature and lower pressure than the outer core
Answer:
Scientists have discovered that the inner core of Earth is a solid while the outer core is a liquid. What is the cause of this observation? The outer core has a higher temperature and more pressure than the inner core.
Step-by-step explanation:
Answer:
The outer core has a higher temperature and more pressure than the inner core
Step-by-step explanation:
What is 11/33 in the simplest form PLS ANSWER QUICK ONLY IF U KNOW IT ALSO I WILL MARK BRAINLIEST
Answer:
1/3
Step-by-step explanation:
divide each part by 11
Answer:
1/3 is the simplified fraction for 11/33 by using the GCD or HCF method. Thus, 1/3 is the simplified fraction for 11/33 by using the prime factorization method.
Step-by-step explanation:
Stream 'Life Goes On' Army's!!!! naneun dangsin-eul bolasaeg
Answer:
first line third man is army's
Answer: Yeah...Life Goes On, life goes on
Step-by-step explanation:
A player pays $15 to play a game in which a chip is randomly selected from a bag of chips. The bag contains 10 red chips, 4 blue chips, and 6 yellow chips. The player wins $5 if a red chip is
selected, $10 if a blue chip is selected, and $20 if a yellow chip is selected. Let the random variable X represent the amount won from the selection of the chip, and let the random variable W
represent the total amount won, where W= X - 15. What is the mean of W?
$10.50
B
$4.50
-$4.50
D
- $6.50
E
-$10.50
Answer:
C. -$4.50
Step-by-step explanation:
To find the mean of W we must first find the mean of X. So, 10/20*5+4/20*10+6/20*20=10.5
Then because mean is impacted by transformations, the mean of W=the mean of X-15=10.5-15=-$4.50
Here we need to find the expected value of the given probabilistic game.
The correct option is B: -$4.50
-------------------------------
For an event with outcomes {x₁, x₂, ...}, each one with probability {p₁, p₂, ...}, the expected value is defined as:
[tex]EV = x_1*p_1 + x_2*p_2 + ...[/tex]
Here the outcomes are:
x₁ = winning $5.
This happens if a red chip is selected, and there are 10 red chips in a bag of 20 chips, so the probability is:
p₁ = 10/20 = 1/2
x₂ = winning $10
This happens if a blue chip is selected, and there are 4 blue chips out of 20 chips, so the probability is:
p₂ = 4/20 = 1/5
x₃ = winning $20
This happens if a yellow chip is selected, and there are 6 of these in a total of 20, then the probability is:
p₃ = 6/20 = 3/10
Now we can compute the expected value:
[tex]EV = \$ 5*(1/2) + \$ 10*(1/5) + \$ 20*(3/10) = \$ 10.50[/tex]
Now if you also take in mind that you need to pay $15.00 to play, we will see that the mean of W, the amount that you won, is:
W = $10.50 - $15.00 = -$4.50
Which means that in average, you lose $4.50
If you want to learn more, you can read:
https://brainly.com/question/18523098
list the safety measures to avoid accident while climbing a tree.
Answer:
Dont climb it
Step-by-step explanation:
A bakery has 18 large trays of bagels and 20 small trays of bagels. Each large tray holds 30 bagels and each small tray holds 15 bagels.
Which equation could be used to find n, the total number of bagels the bakery has?
18 × 30 + 20 × 15 = n
18 + 30 + 20 + 15 = n
18×30−20×15=n
18 + 30 × 20 + 15 = n
]
From the set (42, 18, 15), use substitution to determine which value of x makes the equation true.
3x = 45
Answer:
the answer is 15
Step-by-step explanation:
3x = 45
divide 45 by 3
x = 15
Write as a ratio in simplest form: 14 feet to 2 yards
Answer: It is D
Step-by-step explanation:
3ft in a yd
14ft to 6ft to 7ft to 3ft
What is the 20th term of the sequence that begins -4,8,-16,32,...?
A. 1,048,576
B. 2,097,152
C. 524,288
D. -524,288
Answer:
B
Step-by-step explanation:
The 20th term of the sequence that begins as -4,8,-16,32,...is 2097152.
What is a geometric progression?
It is a type of sequence in which all the elements have common ratio. To calculate the common ratio we apply the following formula:
Ratio=a n/ a n-1
How to solve a geometric progression?
If we carefully watch our sequence we will be able to find that it is a geometric progression because all the terms have common ratio of -2.
To calculate the 20th term we will apply the formula:
20th term =[tex]ar^{20-1}[/tex]
=-4* [tex](-2)^{19}[/tex]
=-4*-524288
=2097152
Hence the 20 th term is 2097152.
Learn more about geometric progression at https://brainly.com/question/12006112
#SPJ2
1/5 (5x +12) =18 solve for x
Answer:
I think its 1
Step-by-step explanation:
Help me out fast pleaseeeeeeeeeeeeeee
Answer:
81 7/12
Step-by-step explanation:
75 5/12 - (-6 1/6)= 81 7/12
Find the Value of X.
Answer:
[tex]4x + 3 + x + 27 = 180\\\\5x + 30 = 180\\\\5x = 150\\\\x = 30[/tex]
1. Jósean Hernández fundó una empresa de mudanzas. Para comprar un camión y la
oficina, Josean solicitó a la financiera un préstamo de $38,400 y quedó en pagar el
préstamo en 36 meses a un interés del 5.8%. Calcula la cantidad total a pagar
requerida del préstamo.
Answer:
El monto total a devolver por parte de Josean Hernández será de $40,227.2, y lo devolverá en 36 cuotas de $1,117.42 cada una.
Step-by-step explanation:
En tanto Josean Hernández solicitó un préstamo de $38,400, y acordó con la financiera devolverlo durante 36 meses a un interés del 5.8%, para determinar la cantidad total a pagar y el monto de cada cuota, es necesario realizar el siguiente cálculo:
(38,400 x 5.6 / 100) + 38,000 = X
2,227.2 + 38,000 = X
40,227.2 = X
40,227.2 / 36 = 1,117.42
Así, el monto total a devolver por parte de Josean Hernández será de $40,227.2, y lo devolverá en 36 cuotas de $1,117.42 cada una.
In the figure shown, what is m _A? Explain.
57°
B
с
Answer:
bro there shld be a picture because you said in the figure. Without figure we can't know how will we do
Step-by-step explanation:
i think the ans is 57°
Please help and I need you to explain why but I’m the simplest way possible :)
Answer:
Parallelogram
Step-by-step explanation:
Observation 1:
the sides do not have the same measure √53≠√68 so is NOT a square and NOT a rhombus
Observation 2:
the opposite sides are congruent
AB=CD=√53, and BC=DA=√68
Observation 3:
lines that have the same slope are parallel so opposite sides are also parallel
slope of AB =slope of CD =-2/7, and slope of BC=slope of DA=8/2
so we have 2 pair of sides congruent and parallel but to decide if is a parallelogram or rectangle we need to see if the adjacent sides form 90° or not
Observation 4:
lines that are perpendicular form 90° and their slope is negative reciprocal.
AB slope =-2/7 and slope of BC =8/2 so are NOT perendicular therefore is a parallelogram
I WILL GIVE BRAINLIEST
Was the expression evaluated correctly using the order of operations? If not, find and correct the error.
80 - [tex]\frac{1}{3}[/tex](15)² = 80 - 5² = 80 - 25 = 55
Answer:
no
Step-by-step explanation:
80-225*1/3=80-75=5
The question is in the picture.
Answer:
6/3=22/x would be 11
Step-by-step explanation:
hope this is helpful
Answer:
Answer is 11
Step-by-step explanation:
3x22=66
6×X=6X
66/6X=11
1.) Seven friends are sharing three packs of Pokemon cards. How much of each pack will each friend get?
Answer: Each friend will get 2 packs of Pokemon cards.
Answer:
2.33333333333
Step-by-step explanation:
7÷3=2.33333333333
How can the figure below be changed so that it has exactly one lines of symmetry?
A.) Move point Done unit to the left.
B.) Move point C two units to the right.
C.) Move point B one and one-half units to the left.
D.) Move point A one unit to the right.
Answer:
C
Step-by-step explanation:
By moving point B 1.5 units to the right, you create an icoselles triangle, which has just one line of symmetry
Reflected across the x-axis and vertically
translated up 2 units.
Incomplete question.
Her goal is to walk 10,000 steps each day. She measures her average step length to be 30 inches. When Janet runs, her average step length increases to 36 inches. How many steps would she have to take to run 1 mile (5,280 feet)? Round to the nearest step.
Answer:
1760
Step-by-step explanation:
12 inches in a foot so 5280x12 is how much inches in a mile
63360 inches in a mile
63360 divided by 36 inches
1760
Solve for X.........
Solve the equation. 10p -5= - 6+2p
Answer:
STEPS : 10p -5= - 6+2pArrange similar algebra given there ... which is 'p' here , Now ;
10p -5= - 6+2p
or, 10p -2p = -6+5
( NOTE : Moving to opposite side , + becomes - and - becomes + )
10p -2p = -6+5
8p = - 1
p = - 1 / 8
Answer:
[tex]\frac{-1}{8}[/tex]
Step-by-step explanation:
You balance the equation by getting rid of the variable on one side and then you get rid of the constant on the other then solve from there
10-5=-6+2p
10p-5-2p=-6+2p-2p
8p-5+5-6+5
8p=-1
[tex]\frac{8p}{8}=\frac{-1}{8}[/tex]
p=[tex]\frac{-1}{8}[/tex]
To solve the equation we put -1/8 in the p spot:
10x-1/8-5=-6+2x-1/8
-1.25-5=-6+-0.25
-6.25=-6.25
The equation = -6.25