Which of the following shows the correct solution steps and solution to 4x + 9 = -23?
Answers
Exact Form:
x
=
7
2
x
=
7
2
Decimal Form:
x
=
3.5
x
=
3.5
Mixed Number Form:
x
=
3
1
2
Answer:
X=3.5
Step-by-step explanation:
What you do is take -9 to 9 and -23. Next subtract -23 and 9. Then drop 4x and then divided 4x by 14 and you will get 3.5 as your answer.
Hope it helped!
Related Questions
Believe it or not, there are some people who don't think that Duke will win the NCAA tournament this year. Let's say that you want to measure the average intelligence of Duke Doubters. Problem is you could only find 28 DDs on this whole campus. The mean of your sample was 90 and the standard deviation was 60. Calculate the 90% Confidence Interval for the IQ of DDs
Answers
Answer:
The 90% confidence interval is \( 87.95 < \mu < 92.05 \)
Step-by-step explanation:
From the question we are told that
The sample size is \(n = 28\)
The sample mean is \(\= x = 90\)
The standard deviation is \(s= 60\)
Generally given that the sample size is not large enough i.e n < 28 then we will make use of the t distribution table
Generally the degree of freedom is mathematically represented as
\(df = n- 1\)
=> \(df = 28 - 1\)
=> \(df = 2 7\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.10\)
Generally from the student t distribution table the critical value of \(\frac{\alpha }{2}\) at a degree of freedom of \(df = 2 7\) is
\(t_{\frac{\alpha }{2} , 27 } = 2.052\)
Generally 95% confidence interval is mathematically represented as
\(\= x -E < \mu < \=x +E\)
=> \(90 - 2.052 < \mu < 90 + 2.052 \)
=> \( 87.95 < \mu < 92.05 \)
A bathtub holds 132 gallons of water. Water is draining from the tub at a rate of 6 gallons every minute. How long will it take for the bathtub to drain completely?
A. 792 min
B. 36 min
C. 22 min
D. 136 min
Answers
Answer: C
Step-by-step explanation:132/6=22
Answer:
Step-by-step explanation:
132-6t=0
-6t=-132
t=22 minutes
Use PEMDAS to evaluate the following expressions.
7) 9 + 15 + 5*3
8) (11 +42-5) - (11-3)
Answers
Answer:
7).39
8).40
Step-by-step explanation:
An air plane can cruise at 640mph. How far can it fly in 3/2 Ths of an hour?
Answers
Answer: 960 miles
3/2 of an hour would be 1 hour and 30 min or an hour and a half
640mph (mph = miles per hour)
1/2 of an hour is 30 minutes so its 640 miles in half so 320
now all you gotta do is add it
so 640 + 320 = 960
2) Create the first four terms based on the given recursive formulas below. Also determine if the
sequence you made is an arithmetic or geometric sequence:
G(1) = 18, G(n) = 2 · G(n − 1). H(1) = 3,H(n) = 5 · H(n − 1)
-
-
J(1) = 3, J(n) = J(n − 1) + 5 M(1) = 3, M(n) = 2 · (n − 1)
Answers
The first 4 terms of given recursive formulas will be as follows
G(n) = 18,36,72,144 (geometric sequence)H(n) = 3, 15, 75, 325 (geometric sequence)J(n) = 3, 8, 13, 18 (arithmetic sequence)M(n) = 3, 6, 12, 24 (geometric sequence)Recursive Expression:The recursive expression provides two pieces of information:
the first term in the sequence.
the pattern rule that takes each term from the previous term.
As we have G(1) = 18, G(n) = 2 · G(n − 1).
It's A geometric sequence with r as 2
∴ G(2) = 2 · G(2 − 1) = 2 · G(1) = 2(18) = 36.
∴ G(3) = 2 · G(3 − 1) = 2 · G(2) = 2(36) = 72.
∴ G(4) = 2 · G(4 − 1) = 2 · G(3) = 2(72) = 144.
As we have H(1) = 3, H(n) = 5 · H(n − 1).
It's A geometric sequence with r as 5
H(2) = 5 · H(2 − 1) = 5 . H(1) = 5(3) = 15.
H(3) = 5 · H(3 − 1) = 5 . H(2) = 5(15) = 75.
H(4) = 5 · H(4 − 1) = 5 . H(3) = 5(75) = 325.
As we have J(1) = 3, J(n) = J(n − 1) + 5
It's an arithmetic sequence with d as 5
J(2) = J(2 − 1) + 5 = J(1) + 5 = 3+5 = 8.
J(3) = J(3 − 1) + 5 = J(2) + 5 = 8+5 = 13.
J(4) = J(4 − 1) + 5 = J(3) + 5 = 13+5 = 18.
As we have M(1) = 3, M(n) = 2 · M(n − 1)
It's A geometric sequence with r as 2
M(2) = 2 · M(2 − 1) = 2 · M(1) = 2(3) = 6.
M(3) = 2 · M(3 - 1) = 2 · M(2) = 2(6) = 12.
M(4) = 2 · M(4 - 1) = 2 · M(3) = 2(12) = 24.
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find the value of x and of the measure of the angle labeled 3x
Answers
Answer:
A
Step-by-step explanation:
stay safe and bless
Which of these expressions represents the product of an irrational number and a rational number being irrational? O e ол 7
Answers
The question says
\(\text{irrational number}\times rational\text{ number = irrational number}\)Therefore the best option is
\(\begin{gathered} \text{irrational number = }\sqrt[]{3} \\ \text{ratioanl number=}\sqrt[]{49} \\ Therefore, \\ \sqrt[]{3}\times\sqrt[]{49}=\sqrt[]{3}\times7=7\sqrt[]{3} \\ 7\sqrt[]{3}\text{ is irrational} \end{gathered}\)The answer is C.
Is the given number a solution of the equation? Which value of d is a solution to the equation 13 – d = 8? 7 5 4 2
Answers
Answer:
d = 5 is a solution to the equation 13 - d = 8
Step-by-step explanation:
We have to solve 13 - d = 8
Now,
13 - d = 8,
We add d on both sides,
13 - d + d = 8 + d
13 = 8 + d
we subtract 8 from both sides,
13 - 8 = 8 - 8 + d
5 = d
d = 5
Hence the answer is 5
The first term of a geometric sequence
is -2. The common ratio is 4. What is
the 6th tem?
F -8192
H 2048
G -2048
J 8192
Answers
Answer:
Step-by-step explanation:
a₆ = a₁r⁶⁻¹ = (-2)4⁵ = -2048
The sixth term of the given sequence is required.
The required term is option G -2048.
Geometric sequencea = First term = -2
r = Common ratio = 4
n = Required term = 6
The general formula to find a term of the sequence is given by
\(a_n=ar^{n-1}\)
Substituting the values we get
\(a_6=-2\times 4^{6-1}\\\Rightarrow a_6=-2\times 4^5\\\Rightarrow a_6=-2\times 4\times 4\times 4\times4\times 4\\\Rightarrow a_6=-2048\)
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Find AB If AC = 12 and BC = 35
Answers
Answer:
37
Step-by-step explanation:
a² =b²+ç²a²=12²+35²a=√1369a=37)) How many terms are in this expression? 7c+ 3d Submit
Answers
The number of terms is the expression is equal to 2.
7c
3d
In algebra, terms are the values on which the mathematical operations take place in an expression.
A term can be a constant or a variable or both in an expression.
In the expression, 7ca + 3d, 7c and 3d are terms.
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Knowledge Check
Ashley is putting money into a savings account. She starts with $750 in the savings account, and each week she adds $60.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Ashley has been
adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 12
Answers
Answer:
1). Equation: S= 60w + 750
2). $1470
Step-by-step explanation:
S= 60w + 750
S =60 x 12 + 750
S= 720 + 750
S = 1470
I am extremley confused and have no idea how to solve this, can somebody explain to me?: -ax^2+2x+a-5 if a=7 and x=-5
Answers
Answer:
Step-by-step explanation:
To evaluate the expression -ax^2 + 2x + a - 5 when a = 7 and x = -5, we simply substitute these values into the expression and simplify:
-ax^2 + 2x + a - 5
When a = 7 and x = -5, this becomes:
-7(-5)^2 + 2(-5) + 7 - 5
Simplifying this expression using the order of operations (PEMDAS), we get:
-7(25) - 10 + 7 - 5
= -175 - 8
= -183
So, when a = 7 and x = -5, the value of the expression is -183.
Answer:
when a = 7 and x = -5, the value is -183.
Step-by-step explanation:
-ax^2 + 2x + a - 5
When a = 7 and x = -5, this becomes:
-7(-5)^2 + 2(-5) + 7 - 5
-7(25) - 10 + 7 - 5
= -175 - 8
= -183
Is the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?
Answers
1. A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
In this case, the spinner's outcome of landing on region three is independent of landing on region six. Each spin is unrelated to the previous spin, and the outcome of one region does not affect the outcome of the other region. Therefore, the events are independent. The probability of landing on both region three and region six is the product of their individual probabilities: 1/8 * 1/8 = 1/64.
2. A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?
In this scenario, the events are overlapping. A jersey can be both purple and have a number greater than 5 at the same time. Therefore, the probability of it being purple or having a number greater than 5 is the sum of their individual probabilities, minus the probability of the overlapping event (purple jerseys with a number greater than 5). There are 4 purple jerseys out of 10 total jerseys, and there is 1 jersey with a number greater than 5 out of 10. However, there is one jersey that satisfies both conditions (purple and number greater than 5), so we need to subtract it from the sum. So the probability is (4/10 + 1/10) - (1/10) = 4/10 = 2/5.
3. A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?
In this scenario, the events are mutually exclusive. A chocolate cannot be both a milk chocolate and have no peanuts inside at the same time. Therefore, the probability of it being a milk chocolate or having no peanuts inside is the sum of their individual probabilities. There are 6 milk chocolates out of 10 total chocolates, and there are 7 chocolates without peanuts out of 10. So the probability is 6/10 + 7/10 = 13/10, which is greater than 1. However, probabilities cannot exceed 1, so we need to take the maximum value of 1. Therefore, the probability is 1.
4. You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?
In this case, the events are independent. The outcome of the coin flip does not affect the outcome of the die roll. The probability of the coin landing heads up is 1/2, and the probability of the die showing an even number is 1/2. To find the probability of both events occurring, we multiply their individual probabilities: 1/2 * 1/2 = 1/4.
I hope this clarifies the nature of each event. Let me know if you have any further questions!
The first question:
"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"
Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.
To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:
P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.
Therefore, the probability of landing on both region three and region six is 1/64.
The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The second question:
"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"
To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.
The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.
The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.
To find the probability of either event occurring, we add the probabilities together:
P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.
Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.
The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.
--------------------------------------------------------------------------------------------------------------------------
The third question:
"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"
To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.
The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.
The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.
To find the probability of either event occurring, we add the probabilities together:
P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.
Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.
The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The fourth question:
"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"
The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.
The probability of rolling an even number on the die is 3
/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.
To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:
P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.
Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.
The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answers
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
Jane buys p packets of plain crisps and c packets
of cheese and onion crisps. Write down an
expression for the total number of packets of
crisps Jane buys.
Answers
The expression for the total number of packets of crisps that Jane buys is given as follows:
p + c.
How to obtain the total number of packets?The amounts of packets of crisps purchased are given as follows:
p packets of plain crisps.c packets of cheese and onion crisps.The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.
Hence the expression for the total number of packets of crisps that Jane buys is given as follows:
p + c.
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Need help with number 9
Answers
9514 1404 393
Answer:
(b) diagonals bisect each other
Step-by-step explanation:
It is helpful to understand the definitions of the various plane figures we study in geometry.
A parallelogram is a quadrilateral with both pairs of opposite sides parallel. It has the characteristics that ...
opposite angles are congruentopposite sides are congruentthe diagonals bisect each other.A trapezoid has only one pair of parallel sides.
Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answers
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
Mariam Ali
0.1 Express the ratio as a fraction in simplest form:18 ounces to 3 cups
2 points
O 6 to 1
O 1/6
O 18/3
O 3/18
Answers
\(\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star\)
18 ÷ 3
= 6/1
Option [a] 6 to 1 is correct !
Which option equals tan 40°? Select all that apply.
A) sin50°/cos 50°
B) cos50°/sin 50°
C) cos40°/sin 40°
D) sin40°/cos 40°
Answers
(sin40)/(cos40) and
(cos50)/(sin50)
Paranas Naman po Ng Dias sa Ml kahit 20 Lang po I'd 1188205066 server 11380
Answers
Answer:
ako din sana mabigyan ket 20
Type the correct answer in each box. Consider this expression. 3x/x+2 + 4x/x-2 Find the values for a, b, and c that make this expression equivalent to the given expression. ax^2+bx/x^2 + c
Answers
An expression is a collection of numbers. The value of a, b, and c is 7, 2, and 4, respectively.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
An expression is a mathematical proof of the equality of two mathematical expressions.
As per the given expression.
3x/(x+2) + 4x/(x-2 )
Take LCM
[3x(x-2) + 4x(x + 2)]/[(x + 2)(x - 2)]
⇒ [3x² - 6x + 4x² + 8x]/(x² - 4)
⇒ (7x² + 2x)/(x² - 4)
Compare with (ax²+bx)/(x² + c)
a = 7,b = 2 and c = 4
Hence "An expression is a collection of numbers. The value of a, b, and c is 7, 2, and 4, respectively".
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Answer:
Step-by-step explanation:
l
help me plsss <333333333333 and tyyyyyy <33333 :)
Answers
Value of variable x in the equation is 2.
Define equationIn mathematics, an equation is a statement that two expressions are equivalent. It comprises of two sides with a phrase on each, usually divided by an equal symbol (=). An equation declares that for some or all of the values of the variables in the equation, the two expressions have the same value. Equations can include one or more variables and can be either linear or nonlinear. Finding the values of the variables that make the equation true is the first step in solving an equation.
Given equation
3(x+6)=24
Dividing the terms by 3, we get
x+6=8
x=8-6
x=2
Hence, value of variable x in the equation is 2.
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The equation of this circle is (x +
)2 + (y +
)2 =
.
Answers
Answer:
x2 + y2 = r2, and this is the equation of a circle of radius r whose center is the origin O(0, 0). The equation of a circle of radius r and center the origin is x2 + y2 = r2.
I think this is the answer.
Who walks at a faster rate: Jake who walks 60 feet in 10 seconds or Lucy who takes 5 seconds to walk 25 feet?
Answers
Answer:
Jake
Step-by-step explanation:
The average rate of change is distance divided by time. You want both of their rates in feet per second. 60 feet divided by 10 seconds is 6 feet per second. 25 feet divided by 5 seconds is 5 feet per second. 6>5
Answer:
Step-by-step explanation:
hello my name is Mr. potato, my friends call me Mr.P but you can call me potato or Mr.P whatever you want is best for you top call me its ok for me and well I like cheese and i dont know what im doing here but i need friends im lonely looooooooool and i like a boy lol jajajjajajajaja me la chupan :35 2/5 is ___ 3 1/2, is it greater than or less than
Answers
Answer:
5 2/5 > 3 1/2. 5 2/5 is greater than 3 1/2
Step-by-step explanation:
Answer:
I believe that 5 2/5 is greater than 3 1/2
A square and a rectangle have the same perimeter.
The length of the rectangle is 4 cm less than twice
the side of the square, and the width of the rectangle
is 6 cm less than the side of the square. Find the
perimeter of each figure.
Answers
A square and a rectangle have the same perimeter, then the area of the square and the rectangle are the same.
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the amount of unit squares which completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.
Let x be the side of the square,
The length of the rectangle, l = 2x - 4,
The width of the rectangle, w = x - 6,
So, we have: (2x - 4) × (x -6) = x²,
x = 2 (4 + √10)
= 14.32455 cm, it is the side of the square
14.32455 × 2 -4
=24.6491cm, it is the length of the rectangle.
14.32455 - 6
=8.32455cm, it is the width of the rectangle.
24.6481 × 8.32455 = 14.32455²
= 205.19 cm²
Thus, it means that the areas of square and rectangles are similar.
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Consider the problem: Minimize cx subject to Ax >= b, x >= 0. Suppose that one component of the vector b, say bi, is increased by one unit to bi + 1. a. What happens to the feasible region? b What happens to the optimal objective value?
Answers
A) If the change in b results in a smaller feasible region, then the optimal objective value will either remain the same or increase.
B) If the change in b results in a larger feasible region, then the optimal objective value may remain the same or decrease.
In linear programming, the objective is to minimize or maximize an objective function subject to certain constraints. One common constraint is that the solution must be in the feasible region, which is defined by the set of all solutions that satisfy the constraints.
Recall that the constraints are given by Ax >= b, where A is a matrix of coefficients and x is a vector of variables. If we increase one component of b, say bi, then the set of solutions that satisfy the constraints will change. Specifically, any solution that previously satisfied Ax >= b may no longer satisfy the constraints, since the left-hand side of the inequality is fixed while the right-hand side has increased. In other words, the feasible region may shrink or shift in response to the change in b.
Now let's consider the effect on the optimal objective value. Recall that the objective function is given by cx, where c is a vector of coefficients. The optimal objective value is the minimum (or maximum) value of cx over all solutions in the feasible region. If we increase one component of b, then the optimal objective value may or may not change, depending on the specifics of the problem.
To see why, let's think about what happens to the feasible region. As we noted above, the feasible region may shrink or shift in response to the change in b. If the optimal solution was previously at the boundary of the feasible region, then it may no longer be feasible, and the optimal objective value will increase. On the other hand, if the optimal solution was previously in the interior of the feasible region, then it may still be feasible, and the optimal objective value will remain the same.
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y= -3x+7 = what number is for solving y?
Answers
Answer:
y=-3x+7
its the same thing
Step-by-step explanation:
James uses an area model to multiply. Part of the model is shown. What could the two factors be explain?
Answers
Answer:
Show the picture
Step-by-step explanation: