Answers
Related Questions
Solve 0.2(4x+10)−0.9x=0.2(x−6)+12.2 . Justify each step.
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Answer:
x = -30
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
0.2(4x + 10) - 0.9x = 0.2(x - 6) + 12.2
Step 2: Solve for x
Distribute 0.2: 0.8x + 2 - 0.9x = 0.2x - 1.2 + 12.2Combine like terms: -0.1x + 2 = 0.2x + 11Add 0.1x on both sides: 2 = 0.3x + 11Isolate x term: -9 = 0.3xIsolate x: -30 = xRewrite: x = -30Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 0.2(4(-30) + 10) - 0.9(-30) = 0.2(-30 - 6) + 12.2Multiply: 0.2(-120 + 10) + 27 = 0.2(-30 - 6) + 12.2Add/Subtract: 0.2(-110) + 27 = 0.2(-36) + 12.2Multiply: -22 + 27 = -7.2 + 12.2Add: 5 = 5Here we see that 5 does indeed equal 5.
∴ x = -30 is the solution to the equation.
Choose the odd one out. Give a reason for your answer. 75%. 3/4. 0.75. 7.5
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The Rao family won a raffle of $1,000 to spend at Dixie Amusement Park. They want to use it for a group tour and for meals. A tour can have at most 8 people in the group, and if there are children on the tour there must be at least one adult. The tour cost $250 plus $100 for each adult and $50 for each child. The meal plan for the park is $15 per person.
A) Write a system of inequalities to model this scenario, and graph the system.
B) What is the maximum number of people who could be in the group, and how much would it cost? Justify your answer
C) Suppose that only adults are going to go on the tour. How many can there be? Explain your answer.
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Answer:
Well, 1000>(15x+t)+(50x+100t) if there are children aboard.
B. The maximum amount is 19 if one adult is going with 18 children (not including the meal plan). And the total would be $1000
C. If only adults are going then a total of 8 adults can go if they are planning to use the raffle ticket for the meal plan too. If not then the total is 10.
I hope this is right.
The system of inequalities to model this scenario will be -
x + y ≤ 8
75y + 63x ≤ 200
The common region in the first quadrant gives the possible pair of peoples who can go to the trip.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that the Rao family won a raffle of $1,000 to spend at Dixie Amusement Park. They want to use it for a group tour and for meals. A tour can have at most 8 people in the group, and if there are children on the tour there must be at least one adult. The tour cost $250 plus $100 for each adult and $50 for each child. The meal plan for the park is $15 per person.
Assume that there are [x] children in the group and [y] adults. So, we can write -
x + y ≤ 8 ... Eq[1]
(250 + 100)y + (250 + 50)x + 15(x + y) ≤ 1000
350y + 300x + 15x + 15y ≤ 1000
375y + 315x ≤ 1000
5(75y + 63x) ≤ 1000
75y + 63x ≤ 200 ... Eq[2]
Refer tot the graph attached. The common region in the first quadrant gives the possible pair of peoples who can go to the trip.
Therefore, the system of inequalities to model this scenario will be -
x + y ≤ 8
75y + 63x ≤ 200
The common region in the first quadrant gives the possible pair of peoples who can go to the trip.
To solve more questions on equations, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
If the right tail of a dot plot is longer than the left, which of these statements is true about the distribution it represents?
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Answer:
D
Step-by-step explanation:
For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift
Question 6 options:
A)
right 2 and upward 3.
B)
right 3 and upward 2.
C)
left 3 and downward 2.
D)
left 2 and downward –3.
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Answer:
A
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Then f(x - 2) represents a shift to the right of 2 units
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Then f(x - 2) + 3 is shift to the right of 2 and up by 3 units
Answer:
right 2 and upward 3.
Step-by-step explanation: I took the test
I give brainlest! 20 points! First place 5 stars and a heart! Second place 4 stars and a heart!
Write the percent as a fraction in simplest form and as a decimal. 36%
The fraction is
The decimal is
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Fraction: 36/100 | Simplified: 9/25
Decimal: 0.36
I hope this helps, and Happy Holidays! :)
Answer:
fraction: 36/100 = 9/25
decimal: 0.36
Step-by-step explanation:
triangle pqr is an iscosceles triangle with the coordinates p(2,3), q(5,10), and r(8,3). what is the area of triangle pqr ?
Answers
Answer:
idek
Step-by-step explanation:
A military jet flying with the wind travelled 1500 km in 1.5 hrs, but when the plane turned around, it took 1.875 hours to return to its base. Find the rate of the plane in calm air and the rate of the wind. pls solve with 2 variables!
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Answer:
With wind = 1000 km /hr
In calm air = 800 km/hr
Step-by-step explanation:
With wind :
Distance traveled = 1500 km
Time taken = 1.5 hours
Speed of plane in air :
Speed = distance / time
Speed = 1500 km / 1.5 hours
Speed = 100 km pe hour
In calm air :
Time taken = 1.875 hours
Distance = 1500 km
Speed of wind in calm air :
Distance / time
1500 km / 1.875
= 800 km/hr
How many natural numbers greater than 6 but less than 60 are relatively prime to 15?
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Answer:
7,8,11,13,14,16,17,19,22,23,26,28,29,31,32,34....
Step-by-step explanation:
ANY NUMBERS that are NOT divisible by 5 or 3 basically
Hope it helps!
What is the solution set to this inequality?
x? - 12x+ 273-8
a
{x|x 3 or x 9)
{x|5SXS7)
{x|x S5 orx27)
{x|3 SXS9)
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MATH QUESITON - PLEASE ANSWER ASAP
Please look at the picture below and give me answers to both the questions.
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Answer:
16)
Bobby - 70
Hannah - 90 (Wins the round)
Carlos - 80
17)
Bobby - 7 (Wins the round)
Hannah - 3
Carlos - 5
Step-by-step explanation:
First we can make the variable n into each of the values they chose for the equations. Let's start with 16.
The equation is - (3+7) X (10 - n ÷2)
Now let's input the numbers 6 , 2, and 4 one at a time to figure out the answer.
USE PEMDAS!!!
16)
Bobby -
1. (3+7) X (10 - 6 ÷2)
2. 10 X (10 - 6 ÷ 2)
3. 10 X 7
4. Answer for Bobby - 70
Hannah -
1. (3+7) X (10 - 2 ÷2)
2. 10 X (10- 2 ÷2)
3. 10 X 9
4. Answer for Hannah - 90 (Wins the round)
Carlos -
1. (3+7) X (10 - 4 ÷2)
2. 10 X (10 - 4 ÷ 2)
3. 10 X 8
4. Answer for Carlos - 80
17)
Bobby -
1. (2 X 6 + 2) ÷ 2
2. (12 + 2) ÷ 2
3. 14 ÷ 2
4. Answer for Bobby - 7 (Wins the round)
Hannah -
1. (2 X 2 + 2) ÷ 2
2. (4+2) ÷ 2
3. 6 ÷ 2
4. Answer for Hannah - 3
Carlos -
1. (2 X 4 + 2) ÷ 2
2. (8+2) ÷ 2
3. 10 ÷ 2
4. Answer for Carlos - 5
Hope this Helps!!! :)
Let me know if I should change anything or if the answer was perfect!!!
Evaluate 5 · (x – 3) when x = 10.

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Answer:B. 35
Step-by-step explanation:
replace x with 10. subtract 3 from 10 and you have 7. Then multiply 5 by 7. you have 35. your welcome.
According to your model, what price should you charge to maximize profit? Explain how you know this is the best price. (Hint: Remember that x represents change in price from $22, not price.) (3 points: 1 point for price and 2 points for explanation)
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Answer:
$30 no decimal include in it so the answer is $30Question in the photo
Need an answer asap!
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Answer:
25 = y
Step-by-step explanation:
We know that x = 4/5 y
20 = 4/5 y
Multiply each side by 5/4
5/4 * 20 = 5/4 * 4/5 y
25 = y
2.75 + negative 1.5
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Answer:
1.25
Step-by-step explanation:
type in your calculator:
-1.5+2.75 OR 2.75-1.5
you should get the same answer
Answer:
1.25(my last answer was deleted somehow)
Step-by-step explanation:
2.75-1.5=1.25
At midnight what temperature is -6C. At midday the temperature is -9C. By how much did the temperature rise ?
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Answer:
It didn’t go up, it went down 3 degrees
Step-by-step explanation:
It’s negative degrees so the less negative it is the higher it is.
Answer:
it rose by -3C, or went down 3C
Step-by-step explanation:
I'LL give brainliest!!
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Answer: B
Step-by-step explanation:
option b is the right answer [3]
[tex]2^{2} * 3^{2} * 5 =180[/tex]
mark brainiest
Step-by-step explanation:
I’ll give you brainlest if you answer this! goes to the first person!
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steve runs a car wash and detail shop. he determines that 50% of customers get their car washed and vacuumed, while 72% get their car washed. what is the probability that a customer will get their car vacuumed given that they are getting it washed? (in decimal form rounded to nearest thousandths)
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Answer:
The probability is 0.694
Step-by-step explanation:
Let the probability of getting a car washed be
P(W) = 72% = 0.72
Let the probability of getting a car vacuumed be
P(V) = ?
Probability of getting car washed and vacuumed is P(W n V) = 50% = 0.5
From Bayes’ theorem
P(V|W) is the probability that a customer gets their car vacuumed given that they are getting it washed
So mathematically;
P(V|W) = P(V n W)/P(W)
= 0.5/0.72 = 0.694
The drawing at the right shows a person,
5 feet tall, casting a shadow 3 feet long.
The tree is casting a shadow 15 feet long.
How tall is the tree?
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Answer:
I would say the tree is 18 feet tall
Answer: 25 feet tall
Step-by-step explanation:
First, let's take a look at the person. If they are 5 feet tall and cast a shadow of 3 feet, we can easily convert this into a proportion: 5 feet tall: 3 feet shadow.
Continuing with this method, we can convert the tree into a proportion: x feet tall: 15 feet shadow.
So, 5:3=x:15. Mathematically, think of it as 5/3=x/15.
To find x, you will need to multiply 15 to both sides, or perform cross multiplication. (5/3)(15)=(x/15)(15). This will equal 25. The tree is 25 feet tall.
I WILL GIVE BRAINLIEST PLEASE.
After an interview, Manahil reached her home at 1305 hrs. If she stopped at the petrol station for 10 mins and then later for 25 mins at Cocochan to pick up some lunch, exactly how long was her journey?
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Answer:
well i think add everything up like add 1,305 to 25 and 10 you should hopefully get your answer not quite sure what subject you are on but hope this works.
I REALLY NEED HELP WITH THIS. it’s due at five pm and worth 20 points.
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Answer:
[tex]m=\frac{225-135}{5-3} =\frac{90}{2}[/tex]
Step-by-step explanation:
OK i am glad to help.
Slope is [tex]\frac{y2-x2}{y1-x1}[/tex]
So, in the boxes, it is
[tex]\frac{225-x2}{y1-3}[/tex]
Our points are
5,225 and
3,135 so the slope should be
[tex]\frac{225-135}{5-3}[/tex]
This is the answer for the first box.
Second is
[tex]\frac{90}{2}[/tex].
Hope this helps plz hit the crown :D
Answer:
Step-by-step explanation:
225-135 = 90/2
5-3
i do not undersatand
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Answer:
me either
Step-by-step explanation:
Answer:
(-2x4)=-8
this is what could be made from the model.
What is the measure of angle A?*
A.27
B.36
C.63
D.216
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Answer:
B. 36
Step-by-step explanation:
Answer:
36 degrees
Step-by-step explanation:
117 + 27 = 144
180 - 144 = 36
Help pls, almost out of time
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Answer:
angle 1
Step-by-step explanation:
it looks the biggest of all
Tyler converted 0.0000783 to scientific notation.
0.0000783 = 78.3 x 10-6
is he correct?
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Let's convert your number to scientific notation.
0.0000783
Move the decimal point 5 places to the right.
7.83*10−5
Answer:
7.83 * [tex]10^{5}[/tex]
Answer: No , the coefficient should be 7.83
Step-by-step explanation:
Please help.
1) LaTeX: m\angle1=\:\:\:\:\:\:\:\:^\circm ∠ 1 = ∘
2) LaTeX: m\angle2=\:\:\:\:\:^\circm ∠ 2 = ∘
3) LaTeX: x\:=\:\:\:\:m\:\left(exterior\:angle\right)\:=x = m ( e x t e r i o r a n g l e ) =
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9514 1404 393
Answer:
Angle 1 = 139°Angle 2 = 41°x = 29; exterior angle = 131°Step-by-step explanation:
These problems let you make use of the fact that the sum of the remote interior angles is equal to the exterior angle.
__
1. 53° +86° = ∠1
139° = ∠1
__
2. ∠2 +92° = 133°
∠2 = 133° -92°
∠2 = 41°
__
3. (x +9)° +93° = (4x+15)°
87 = 3x . . . . . . . . . . . . . . . . subtract x+15°
29 = x . . . . . . . divide by 3
The exterior angle is ...
(4x +15)° = (4·29 +15)° = 131° . . . exterior angle
what is the slope of a line parallel to each given line y = 4x - 5
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Answer:
20???
Step-by-step explanation:
Answer:
4x
Step-by-step explanation:
solve the inequality
-25/12 ≤ v + 5/3
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V is greater than or equals to -15/4
In the diagram below of triangle MNPMNP, QQ is a midpoint of \overline{MN}
MN
and RR is a midpoint of \overline{NP}
NP
. If QR=11-xQR=11−x, and MP=57-7xMP=57−7x, what is the measure of MPMP?
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Answer:
Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.
The length of QR is 4x -11 and the length of MP is 9x - 29.
We need to determine the measure of MP.
Value of x:
The value of x can be determined using the triangle midsegment theore
Applying the theorem, we have;
Substituting the lengths, we get;
Subtracting both sides by 8x, we have;
Adding both sides of the equation by 29, we get;Thus, the value of x is 7.
Measure of MP:
The measure of MP can be determined by substituting x = 7 in the length of MP.
Thus, we have;
Thus, the measure of MP is 34.