7. AB=x+9, BC = 3x-4. Find AC.
B
с
хто + 3x
-3x
3х
2
A
2х
-2x=
Answers
The value of AC = 4x + 5.
How to do addition of the variables?A variable is defined as any property, number, or amount that can be counted or measured.
Even despite their different operations, adding and subtracting variables follow the same rule: once adding or subtracting terms with the identical variables, you either add and otherwise subtract the coefficients and leave the result with the variable.
Addition. So because variables are the same in this equation, you can add every one of the coefficients (2, 5, and 4). (a).2a + 5a + 4a = 11a
Subtraction. Since the variables are equal in this equation, you could indeed subtract each of the coefficients (11, 5, and 4). (a).11a – 5a – 4a = 2a
Similarly with the question;
AB = x+9, BC = 3x-4
AC = AB + BC
AC = x + 9 + 3x - 4
Add the variable and constant part separately.
AC = 4x + 5
Thus, the value of AC is found as 4x + 5.
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Related Questions
Plz help’
!
I’ll be giving extra points
Answers
because it's value will always be same
Answer:
This value doesn't depend on x or y
It'll be the same things always
5. If that same manufacturer miscalculates the demand of the market and manufactures 5,000 dozen of those sweaters, but only sells 3,000 dozen, what is the total profit from the sweaters? (Show your calculations.) $ profit.
Answers
If a manufacturer manufactures 5,000 dozen of sweaters, and sells 3,000 dozen of them only, then the total profit he/she earns from the these sweaters is [1000(3x - 5y)], assuming that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y".
As per the question statement, a manufacturer miscalculates the demand of the market and manufactures 5,000 sweaters, but sold only 3000 of them.
We are required to calculate the total profit earned by the manufacturer from the sale of the sweaters.
Since, no data about the manufacturing cost of the sweaters and their selling price is provided in the question statement, let us assume that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y". Solving with these variables will give us a generalized answer which we can use for any value.
Now, Since assumed that, manufacturing cost of one sweater is "x", then, manufacturing cost of 5000 sweaters will be \((5000*x)=5000x\).
Similarly assumed that, selling cost of one sweater is "y", and then, selling cost of 3000 sweater will be \([(3000*y)=3000y]\).
Now, we know that,
[Profit = (Total Selling Cosy) - (Total Manufacturing Cost)],
Therefore, in this case, total profit from the sale of 3000 sweaters
\(=(3000y-5000x)\\=1000(3y-5x)\).
Now, on using real integers or numbers in place of "x" and "y", if the value of Profit comes negative, it will mean, that for those values of "x" and "y", the manufacturer makes loss, not profit.
Profit: On sale of any goods, a person makes profit if he/she can sell the goods for a higher value than what they had bought for, or what they had manufactured at and is thus, calculated as the difference of total selling price of the goods and the manufacturing cost or buying price of them.Loss: This is the exact opposite of profit and is calculated as the difference of manufacturing cost or buying price of the goods and their selling price.To learn more about Profit and Loss, click on the link below.
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NO LINKS!! Each graph represents a relation. Determine the domain and range. 2ii
Answers
Answer:
7) Domain: (-∞, ∞)
Range: [-1, ∞)
8) Domain: (-∞, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.
[ or ] : Use square brackets to indicate that the endpoint is included.
Domain & Range
The domain is the set of all possible input values (x-values).
The range is the set of all possible output values (y-values).
Question 5From inspection of the graph, the line is continuous.
The arrows either end of the line indicate that the line continues indefinitely in those directions.
Therefore, the domain of the relation is unrestricted: (-∞, ∞)
From inspection of the graph, the minimum y-value is y = -1.
The end behavior of the relation is:
\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)
\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)
Therefore, the range of the relation is restricted: [-1, ∞)
Question 6From inspection of the graph, the line is continuous.
The arrows either end of the line indicate that the line continues indefinitely in those directions.
Therefore, the domain of the relation is unrestricted: (-∞, ∞)
The end behavior of the function is:
\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)
\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)
Therefore, the domain of the relation is unrestricted: (-∞, ∞)
While driving your rental car on your vacation in Europe, you find that you are getting 13.3 km/of gasolineWhat does this value correspond to in miles per gallon?
13.3km/L=__________mi/gal
Answers
The rental car is getting approximately 37.56 miles per gallon.
To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:
1 km/l ≈ 2.82475 mpg
Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:
13.3 km/l x 2.82475 mpg ≈ 37.56 mpg
So, your rental car is getting approximately 37.56 miles per gallon.
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39.8% of consumers believe that cash will be obsolete in the next 20 years. Assume that 7 customers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. What is the probability?
Answers
Here, we are required to find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years.
The correct answer is Pr(C & fewer than 3) = 0.171
Let Pr(C) be the number of consumers who believe that cash will be obsolete in the next 20 years.
Therefore, since 39.8% believe so,
Pr(C) = 39.8/100 = 0.398If 7 consumers are selected randomly, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years will be;
Probability of 2 out 7 to believe so or Probability of 1 out of 7 to believe so.Pr(2/7) + Pr (1/7).Therefore the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is;
Pr (fewer than 3) = (2/7) + (1/7)Pr (fewer than 3) = 3/7Therefore, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;
Pr(C) × Pr (fewer than 3)i.e 0.398 × (3/7) = 0.171Therefore, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;
Pr(C & fewer than 3) = 0.171
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Which statement describes the graph of X = 4?
A) It is paralel to the x-axis.
B) It has a slope of 4.
C) It is parallel to the y-axis.
D) It passes through the point (0,4).
Answers
Answer:
the answer is D
Step-by-step explanation:
Because the point of x=4 is passed through the point (0,4).
Suppose that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C.
If 12% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.
Answers
The reading that separates the rejected thermometers from the others is given as follows:
1.175 ºC.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
\(\mu = 0, \sigma = 1\)
The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.
Hence:
1.175 = X/1
X = 1.175 ºC.
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A boy owns 5 pairs of pants, 2 shirts, 5 ties, and 6 jackets. How many different outfits can he wear to school if he must wear one of each item?
Answers
Answer:
He can only wear 2 outfits because he only has 2 shirts.
Step-by-step explanation:
Hope it can help
Answer:
2 outfits because he only has 2 shirts
Step-by-step explanation:
The diameter of a circle is 3 ft. Find its area to the nearest whole number.
Answers
Answer:
7.065
Step-by-step explanation:
So, to find the area of a circle you need to use "A = π r2"
First, we have to find out the radius of the circle, so cut the diameter in half, that will equal 1.5 ft
then, you put 3.14 (pi) into a calculator
then put (1.5 x 1.5) which is 1.5 to the second power.
the equation put together will be 3.14 (1.5 x 1.5)
So the answer will be 7.065
2. Solve algebraically, using the method of your choice.
5x² +3y= -3-x
2x²-x= -4-2y
Answers
The system of equations does not have real solutions.
To solve the given system of equations algebraically, we can use the substitution method.
By rearranging equation (1), we have:
5x² + x + 3y = -3
Solving equation (2) for x, we get:
x = (2y - 4) / 2
Substituting the value of x in equation (1), we have:
5((2y - 4) / 2)² + ((2y - 4) / 2) + 3y = -3
Simplifying and solving for y:
5y² - 6y + 8 = 0
Using the quadratic formula, we find two solutions for y:
y = (6 ± √(36 - 160)) / 10
Simplifying further:
y = (6 ± √(-124)) / 10
Since the discriminant is negative, the solutions for y are imaginary.
Therefore, the system of equations does not have real solutions.
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A-6=13 answer........
Answers
Answer:
A = 19
Step-by-step explanation:
A - 6 = 13
19 - 6 = 13
A = 19
I hope this helps!
Answer:
19
Step-by-step explanation:
13 + 6 = 19
19 - 6 = 13
Help quick
I need the answer
X=??
Answers
Answer:
x = 16
Step-by-step explanation:
The angle opposite of 4x will have the same value. So set up an equation of 4x is equal to the opposite angle.
4x = 64
Then solve for x
x = 16
GRAPH each triangle and CLASSIFY the triangle according to its sides and angles.Number 2
Answers
GIVEN
A triangle DOG with the coordinates of the vertices given to be: D(1, 9), O(7, 9), and G(4, 2).
SOLUTION METHOD
To correctly classify the triangle, we need to get the lengths of each side of the triangle.
The formula to calculate the length of a line between two given points is given to be:
\(AB=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)Distance of Line DO:
\(\begin{gathered} D=(x_1,y_1)=(1,9) \\ O=(x_2,y_2)=(7,9) \end{gathered}\)Therefore, the length is given to be:
\(\begin{gathered} DO=\sqrt[]{(7-1)^2+(9-9)^2} \\ DO=\sqrt[]{6^2+0^2} \\ DO=\sqrt[]{36} \\ DO=6 \end{gathered}\)Distance of Line OG:
\(\begin{gathered} O=(x_1,y_1)=(7,9) \\ G=(x_2,y_2)=(4,2) \end{gathered}\)Therefore, the length is given to be:
\(\begin{gathered} OG=\sqrt[]{(4-7)^2+(2-9)^2} \\ OG=\sqrt[]{(-3)^2+(-7)^2} \\ OG=\sqrt[]{9+49} \\ OG=\sqrt[]{58} \end{gathered}\)Distance of Line DG:
\(\begin{gathered} D=(x_1,y_1)=(1,9) \\ G=(x_2,y_2)=(4,2) \end{gathered}\)Therefore, the length is given to be:
\(\begin{gathered} DG=\sqrt[]{(4-1)^2+(2-9)^2} \\ DG=\sqrt[]{3^2+(-7)^2} \\ DG=\sqrt[]{9+49} \\ DG=\sqrt[]{58} \end{gathered}\)The lengths of the sides are:
\(\begin{gathered} DO=6 \\ OG=\sqrt[]{58} \\ DG=\sqrt[]{58} \end{gathered}\)CONCLUSION
Since two of the sides are equal, then the triangle is an ISOSCELES TRIANGLE.
Use the information given to answer the question.
The graph shows the relationship between the total cost,
t
, of purchasing a steel beam
f
feet long.
The relationship between the cost, y, in dollars, and the feet of steel beam, x, bought can be modeled by the proportional equation y=
x.
Answers
Answer:
What is the question? _______
The mean length of 4 childrens' index finger is 8.7cm.
The mean length of 11 adults' index finger is 13.4cm.
What is the mean length (rounded to 2 DP) of these 15 people's index finger?
Answers
The mean length (rounded to 2 DP) of these 15 people's index finger is 12.15 cm.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that:
The mean length of 4 children's index fingers is 8.7cm.
The mean length of 11 adults' index fingers is 13.4cm.
The mean of 15 people = [8.7x4 + 13.4x11]/15
The mean of 15 people = [34.8 + 147.4]/15
= 182.2/15
= 12.1466 cm
= 12.15 cm
Thus, the mean length (rounded to 2 DP) of these 15 people's index fingers is 12.15 cm.
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Help me please 60 points
Answers
The fails to dismiss the null hypothesis, so he's unable to conclude that there's enough proof to back up his faith that there are greater than \(30\)% coloured jelly beans for each bag.
What does probability mean in math's?Chance is simply how probable an event is to happen. If we are unsure of how an incident will come out, we might debate the probability of various outcomes, and how likely they are. The examination of occurrences regulated by probability is termed statistics.
Who is the father of probability?French mathematician as well as philosopher Blaise Pascal made significant contributions to many branches of mathematics. In correspondence with Fermat, he started working on conic sections as well as spatial geometrical and laid the groundwork again for probability theory.
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The p-value is not less than the significance level, Ramon fails to reject the null hypothesis.
What is null hypothesis?
In statistical hypothesis testing, the null hypothesis is a statement that there is no significant difference between two specified populations, or that a proposed relationship between two variables does not exist.
Ramon used the following null and alternative hypotheses:
H0: p = 0.30 (The proportion of blue jelly beans is 30%)
Ha: p > 0.30 (The proportion of blue jelly beans is greater than 30%)
Ramon calculated a p-value of 0.256, which is greater than his significance level of 0.1.
Since the p-value is not less than the significance level, Ramon fails to reject the null hypothesis.
Therefore, he does not have enough evidence to conclude that the proportion of blue jelly beans is greater than 30%.
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The question is in the attatchment!
Answers
Answer:
The answer is 4
What is the slope of the line with points A and B?
1
-2/3
-1
0
Answers
Answer:
-1
Step-by-step explanation:
A = (0,0)
B = (1,-1)
Slope = (-1-0)/(1-0) = -1/1 = -1
Use inductive reasoning to predict the next three numbers in the pattern (or sequence).
8, 12, 17, 23, 30, 38
Answers
Answer:
Step-by-step explanation:
47,57,68
adding 1 to the next number and so on
plus 4, plus 5, plus 6 and so on
FInd the permiter of a square with an area of 702.25 square yards
Answers
Answer:
The perimeter of the square is 106yd
Step-by-step explanation:
To solve this we first have to know the formula to calculate the area of a square
a = area = 702.25yd²
s = side
a = s * s
we replace the values
702.25yd² = s * s
702.25yd² = s²
√(702.25yd²) = s
26.5yd = s
The side of the square is 26.5yd
Now we have to use the formula to calculate the perimeter of a square
p = perimeter
s = side = 26.5yd
p = 4 * s
we replace with the known values
p = 4 * 26.5yd
p = 106yd
The perimeter of the square is 106yd
Answer:106 yards
Step-by-step explanation:
Length=L
Area=702.5
Area of square=L x L
702.5=L X L
702.5=L^2
L=√(702.5)
L=26.50
perimeter of square=4 x L
Perimeter of square=4 x 26.50
Perimeter of square=106
Perimeter of square=106 yards
0.98x0.23 n,cjhkiyyyyyyyyyyyyyyyyyyyyyyy
Answers
Answer:
0.2254
Step-by-step explanation:
Multiplying 0.98 times 0.23 will give you 0.2254, or 0.23 when simplified.
-6n + 3= 45
how do you solve this
Answers
Answer:
n= -7
Step-by-step explanation:
subtract 3 from both sides,-6n=42,divide both sides by -6
Answer:
\(\boxed{n = - 7}\)
Step-by-step explanation:
\( \boxed{you \: solve \: by \: making \to n :} \\ the \: subjet \: of \: the \: equation \to \: \\ it \: means \: making \: \to \: n : to \: stand \: on \: its \: own \to \\ - 6n + 3 = 45 \\ - 6n = 45 - 3 \\ - 6 n= 42 \\ \frac{ - 6}{ - 6} n = - \frac{42}{6} \\ \boxed{n = - 7}\)
What is the constant proportionality of this problem
Answers
Suppose $30,000 is deposited into an account paying 3.5% interest, compounded annually.How much money is in the account after ten years if no withdrawals or additional deposits aremade?
Answers
Ok, so
We know that the initial amount which is deposited is $30,000.
For this problem, it is useful to use an exponential function because we know that we're working with a compounded interest.
So, we'll write:
Now, the question ask to us to find how much money is in the ccount after ten years. For this, we just replace t=10 in our equation. Like this,
Therefore, there will be $42317.96 in the account.
Does anyone know this answer??
Answers
Answer:
96.25%
Step-by-step explanation:
The empirical rule regarding mean and standard deviation is that
Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values
Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values
Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values
6x + 4y = 7Kx + 8y = 7What is the value of K?
Answers
The value of K in the given equations 6x+4y=7 and Kx+8y=7 is k=(-4y/x)+6.
What are equations?Two things are equal, according to an equation.
It will be written with the equals sign "=" as in x+2=6.
What is on the left (x + 2) is equal to what is on the right ((6)), according to that equation.
A remark like "this equals that" can be compared to an equation.
So, we have the equations:
6x + 4y = 7
Kx + 8y = 7
Now, we know that both equations are equal to 7. so, we can write it as:
6x + 4y = Kx + 8y
Solve with subject K as follows:
6x + 4y = Kx + 8y
Kx - 6x = 4y - 8y
(K-6)x = -4y
k-6 = -4y/x
k = (-4y/x) + 6
Therefore, the value of K in the given equations 6x+4y=7 and Kx+8y=7 is k=(-4y/x)+6.
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What is -20/2(7 2/3)
Answers
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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please help answer ASAP will mark brainlyest
Answers
ANSWER 92°
REMEMBER! angles in a triangle add up to 180°
this means that:
(x) + (3x + 13) + (x - 8) = 180
5x + 5 = 180
5x = 175
therefore x = 35
now that we know x, we can apply this to work out the angle mentioned, the angle a:
A = 3(35) - 13
= 92°
Superior Segway Tours gives sightseeing tours around Chicago, Illinois. It charges a one-time fee of $40, plus $35 per hour. What is the slope of this situation?
80
65
40
35
Answers
Answer:
d. 35
Step-by-step explanation:
y = 35x + 40
The slope is 35 as 'm' is the slope of the equation
LMK IF IT WAS RIGHT!!
Answer:
D (35)
Step-by-step explanation:
When you start from a given set of rules and conditions and determine what must be true you are using _ reasoning
Answers
Answer:
Deductive
Step-by-step explanation: