Answer:
d = -8
Step-by-step explanation:
4(-3d+14) = -17d + 16
-12d + 56 = -17d + 16
+17d +17d
5d + 56 = 16
-56 -56
5d = -40
÷5 ÷5
d= -8
I hope this helps!
I was seeing if anybody can solve this question
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 5}(x-\stackrel{x_1}{0})\implies y=5x+8[/tex]
a) A couple of entrepreneurial business students decided to put their education into practice by developing a tutoring company for business students. While private tutoring was offered, it was determined that group tutoring before tests in the large statistics classes would be most beneficial. The students rented a room next to campus for P3000.00 for 3 hours. They developed handouts based on past tests and these handouts (including colour graphs) cost P50 each. The tutor was paid P250 per hour for a total of P750 for each tutoring session.
i) If students are charged P200 to attend the session, how many students must enrol for the company to break evenA somewhat smaller room is available for P200 for 3 hrs. The company is considering this possibility. How would this affect the BEP?
According to the information, it can be inferred that in the room worth 3,000, the break-even point would be 25 students enrolled. On the other hand, in the room of 200, the break-even point would be 7 students enrolled.
What is the Break-even point?The break-even point is an economic term to refer to the moment when a company's income covers its fixed and variable expenses, that is, when you manage to sell the same amount you spend, you neither win nor lose, you have reached the break-even point.
Thus, calculating the break-even point is essential for companies to assess their profitability, since in this way it is possible to know how much they need to sell to generate profit. Knowing this value, even before starting a new project, allows you to know how financially interesting your business idea is.
How to clculate the break-even point in this case?To calculate the break-even point, we must take into account the expenses that the students will have to offer their service:
Room 1: 3,000Room 2: 200Tutor: 750According to the above, the expenses in case A, with room 1 would be:
3,000 + 750 = 3,750On the other hand, the expenses in case B with room 2 would be:
200 + 750 = 950So, we know that in case A the expenses are going to be 3,750 and in case B the expenses are going to be 950. To find the break-even point for each case, we must divide this value by the price at which they are going to sell the item. course to students. However, it should be clarified that it must be divided by 150 because 50 will be used to pay for each student's handouts.
3,750 ÷ 150 = 25
950 ÷ 150 = 6.33 = 7
According to the above, the break-even point for case A would be 25 students. Additionally, in case B the balance point would be 6.33 students who are close to 7.
To conclude, it can be stated that the best option would be to take room 2 because they will have fewer expenses and will have to sell fewer units of their course to reach the break-even point.
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Anyone please solve this math. Thanks in advance
Answer:
69°
Step-by-step explanation:
Angle AOE = 42° (angles on a line add to 180°)
OE=OA (radii)
Angle OAE = Angle OEA (isosceles triangle)
Angle EAD = 69° (sum of angles in a triangle)
The following are the transactions of Spotlighter, Incorporated, for the month of January. Borrowed $4,790 from a local bank on a note due in six months. Received $5,480 cash from investors and issued common stock to them. Purchased $2,700 in equipment, paying $1,050 cash and promising the rest on a note due in one year. Paid $1,150 cash for supplies. Bought and received $1,550 of supplies on account. Required: Post the effects to the appropriate T-accounts and determine ending account balances. Show a beginning balance of zero.
The final balance in the account is $9,620
How to get the final balance of Spotlighter, Incorporated.?
Here we need to write an addition. The amounts that the company receive will be positive amounts, while the amount that the company pays will be represented by negative amounts, then:
Borrowed $4,790 from a local bank: +$4,790 Received $5,480 cash from investors: + $5,480 Purchased $2,700 in equipment (only pays $1,050 of this): - $1,050 Paid $1,150 cash for supplies: -$1,150 Bought and received $1,550 of supplies on account: + $1,550Now we can add these values, assuming that the initial balance is $0.
$0 + $4,790 + $5,480 - $1,050 - $1,150+ $1,550 = $9,620
This is the balance, they still have a debt of $4,790 and $1,650, but the amount of money that they have in the account is $9,620
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find the equation of line that goes through (-1, -2) and parallel to y = 9x + 4
Answer:
y = 9x + 7
Step-by-step explanation:
Line is parallel to y = 9x + 4 and passes through the point (-1, -2)
m = slope
the slope of the line is the same for both lines, m = 9
the equation of the parallel line is y = 9x + a
-2 = (9) * (-1) + a
a = 7
y = 9x + 7
(10, 6), (1, –4) cual es en procedimiento?
Answer:
10/9
Step-by-step explanation:
Please I need an answer
Answer:im guessing its 7 and 1
Step-by-step explanation:
6. Sal is selling two types of printed socks. He sells type a at R45 a pair. He sells type b at R30. If he sold 16 pairs in total, and had a total income of R585, how many pairs of sock b did Sal sell?
Step-by-step explanation:
a + b = 16
a = 16 - b
45a + 30b = 585 | divide both sides by 15
3a + 2b = 39
now we are using the first in the second equation :
3(16 - b) + 2b = 39
48 - 3b + 2b = 39
48 - b = 39
48 = 39 + b
9 = b
he sold 9 pairs of type b socks.
FYI :
a = 16 - b = 16 - 9 = 7
Calculate (8.42 x 109) − (2.35 x 108).
8.185 x 108
8.185 x 109
6.07 x 101
6.07 x 109
PLS HELP ITS DUE TODAY AND I WILL GIVE BRAINLY-EST
What is standard form of the following equation?
y= -2/5x + 4
Use integers for A, B, and C. Enter your answer in the box.
____________ x +________________ y =_________________
Answer:
2x + 5y = 20
Step-by-step explanation:
[tex]y = - \frac{2}{5} x + 4[/tex]
[tex] - 5y = 2x - 20[/tex]
[tex] - 2x - 5y = - 20[/tex]
[tex]2x + 5y = 20[/tex]
someone pls help me FAST
maysa made an error in her work on the folowing problem
3.5 - 2.46 = 1.16
describe maysa's error. explain how you would use a model or place-value concepts to help maysa build understanding
pls help fast will give brainliest if i like the answer!!
Answer:
Maysa forgot to subtract from the hundredths place
3.5= 3.50
3.50
-2.46
1. 04
What is the smallest even whole number which is divisible by 3
Answer:
the smallest even whole number which is divided by 3 is 6
A square sandbox has an area of 89ft^2. Estimate the length of one of the sides of the sandbox
The length of one of the sides of the sandbox is 9.43 feet.
What is a square?A square is defined as a polygon that has four sides and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.
The area of a square is equal to the squared of sides or the multiplication of two sides.
Here the square sandbox has an area of 89 ft²
So the area would be as
⇒ the length of side = √area of the sandbox
⇒ the length of side = √89
⇒ the length of side = 9.43
Therefore, the length of one of the sides of the sandbox is 9.43 feet.
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Write this English phrase as an algebraic expression. Let the variable x represent the number.
three subtracted from a number
translated into an algebraic expression:
The English phrase translated to algebraic expression is x - 3.
How to translate into an algebraic expression?We are to write the English phrase as an algebraic expression.
x represents the number .
The English phrase is "three subtracted from a number".
The number is x.
Therefore, the English phrase translated to an algebraic expression is as follows:
An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).
Therefore, the algebraic expression of three subtracted from a number is
x - 3
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please help or else I won’t be able to play in my softball game today
Answer:
a=7
Step-by-step explanation:
-2 to 4 is 6 for the y values, and that is skipping from 0 to 2 in the x values. So if you add 1 to the x values instead of 2, then the y value would be cut in half. So you would add 3 instead of 6.
Good luck in your softball game!
BX bisects ABC to form two congruent acute angles. What type of angle can ABC be? Select all that apply
O Acute
O Right
Obtuse
Straight
The types of angle can ABC be are (a) Acute (b) Right and (c) Obtuse
How to determine the angle types?The statement is given as:
BX bisects ABC to form two congruent acute angles
The above statement means that the smallest type of angle, the angle ABC can be is an acute angle
Also, when a right angle is divided into 2 (or bisected), the resulting angles are acute angles.
Lastly, when an obtuse angle is bisected, the resulting angles are acute angles.
Hence, the types of angle can ABC be are (a) Acute (b) Right and (c) Obtuse
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Assume that the situation can be expressed as a linear cost function. Find the cost function in this case.
Marginal cost: $15; 150 items cost $5500 to produce.
The linear cost function is C(x) =
The linear cost function is C(x) = 15x + 3250 and the cost function in marginal cost: $15; 150 items cost $5500 to produce is $ 5500 .
The linear operate is expressed as y = mx + b .....(1)A linear value operate expresses value as a linear operate of the amount of items;Let C(x) is that the total value, and x is that the range of things.
The slope "m" is named the cost and "b" is named the charge.
The value of m is $15 and the price of "x" is 150.
Total cost of 150 items are $5500
Substitute all the values within the equation (1) , we get
5500 = 15 (150) + b
5500 = 2250 + b
3250 = b
Hence , linear cost function is given by C(x) = 15x + 3250
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Raj bought six 3-litre cans of sunflower oil.
He poured all the sunflower oil equally into 20 bottles.
What was the volume of sunflower oil in each bottle?
Answer:
0.9 Litres or 900 ml
Step-by-step explanation:
First we will find out the total volume of Sunflower oil he has.
Sunflower Oil bought = 6 cana x 3 litre = 18 litres
Now we divide this 18 litres into 20 parts to find out the volume of sunflower oil per bottle:
[tex] \frac{18}{20} \\ = \frac{9}{10} \\ = 0.9litres \: or \: 900ml[/tex]
Evaluating Expressions I
Slumbertec is a sleep medication designed for patients with severe insomnia. The follow function is a
pretty good measure of the dosage a patient needs depending on their weight:
where w represents the patient's weight in pounds, and
d represents the dosage required in milligrams (mg).
a. Under the function equation above, label the meaning of the variables d and w.
b. Evaluate 2w-60 when w-140.
d=2w-60
C.
17
When w 175, the value of 2w-60 is 290. Explain what this means in the context of this
function. In other words, what does this tell you about the patient and this medicine?
d. Evaluate 2w-60 when w-25. Explain what this means in the context of this function.
e. Your patient was prescribed 260 mg of Slumbertec by another doctor. What would you guess was
the patient's weight at the time when the prescription was written?
a. The meaning of the variables are:
w = weightd = dosageb. Evaluating 2w-60 when w =140. d = 220 mg
c. Evaluate 2w-60 when w= 175, d = 290 mg
This means that for a weight of 175 pounds the dose is 290 mgd. Evaluate 2w-60 when w = 25. d = -10 mg
Explanation: This means the drug is not recommended for patients weighing 25e. Evaluate 2w-60 when d = 260 mg
At the time of prescription the patient was weighing 160 poundsGiven data
d=2w-60
where:
w = weight
d = dosage
How to find the the required variable in the options
a. label the meaning of the variables
w = weight
d = dosage
b. Evaluate 2w-60 when w = 140,
d=2w-60
d = 2 * 140 - 60
d = 220
c. Evaluate 2w-60 when w= 175
d=2w-60
d = 2 * 175 - 60
d = 290
This means that for a weight of 175 pounds the dosage is 290 mg
d. Evaluate 2w-60 when w = 25
d=2w-60
d = 2 * 25 - 60
d = -10
Explanation: This means the drug is not recommended for patients weighing 25
e. Evaluate 2w-60 when d = 260
260 = 2w - 60
2w = 260 + 60
2w = 320
w = 160
At the time of prescription the patient was weighing 160 pounds
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A bookstore sells a textbook for $35.10. If the bookstore makes a profit of 30% on each sale, what does the bookstore pay the publisher for each book?
The bookstore pays the publisher $27 for each book thus making a profit of 30%.
The profit is defined as the difference between the sell price and the cost price.
The sell price is defined as the price at which an object is sold.
The cost price is defined as the price at which an object is bought.
When the sell price is greater than the cost price profit is made by the seller.
Let the cost price (price paid to publisher) be x dollars.
Therefore when sold at a profit of 30% then
profit= 30%of x=0.3x dollars
Now the sell price = cost price +profit
∴Sell price= x+0.3x=1.3x
But the sell price is given as $35.10
So we can equate the two terms to get a linear equation in x.
∴1.3x=35.10
or, x=35.10÷1.3
or, x=27
Therefore the cost price is $27.
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ASAP
Divide The quantity 3.185 times ten raised to the seventeenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity.. Write the final answer in scientific notation.
3.5 x 108
0.35 x 109
3.5 x 109
0.35 x 1025
The division of the numbers in indices will be B.
0.35 × 10^9
How to compute the value?It should be noted that the information is about division of indices.
This will be:
(3.185 × 10^17) / (9.1 × 10^8)
= 0.35 × 10^9
In conclusion, the correct option is B.
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help me with this please in need it now
The price of of 1 pound of almond is given as 2.2/0.65
Unit rate of change of a lineA line is defined as the shortest distance between two points. Given the coordinate (0.65, 2.2)
This shows that 0.65 pound of almond costs $2.2. For the cost of one pounds of almond;
Unit price = 2.2/0.65
Unit price = $3.38
This shows that the price of of 1 pound of almond is given as 2.2/0.65
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When testing for independence in a contingency table with 4 rows and 4 columns, there are _____________ degrees of freedom. Select one: a. 6 b. 7 c. 9 d. 5 e. 4
When testing for independence in a contingency table with 4 rows and 4 columns, there are 9 degrees of freedom.
What is Degree of Freedom?
The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the total number of items in the data sample.
The degrees of freedom are (r - 1)(c - 1) when evaluating the independence of characteristics in a contingency table with r rows and c columns.
Given, rows = 4
columns = 4
degree of freedom = (r - 1) (c - 1)
= (4 - 1) (4 - 1)
= (3)(3)
= 9
So the degree of freedom contingency table with 4 rows and 4 columns will be 9.
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Maria bought 5 tickets for $20 each. Each ticket had a $2 fee. Write an expression that shows how much Maria paid for the tickets.
Enter an equality that represents the graph in the box. Please help me!
Answer:
y [tex]\geq[/tex] 4x - 6
Step-by-step explanation:
1. Find the slope using the slope formula (rise over run)
2. Use the slope and one of the points to solve for the y-intercept (b)
3. Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line
Could someone explain on how to solve ‘square root’ problems? I don’t really understand the subject.
Thanks!! ^^
The product of 9 and Jenny's age is 135
The product of 9 and Jenny's age 15 is 135.
What is a mathematical operation?Similar to the principle of superposition denotes a mathematical operation (e.g., differentiation, multiplication by a constant) in which the action on the sum of two functions is the sum of the action of the operation on each function.So, let the missing value be 'x'.
Then,
9 × x = 1359x = 135x = 135/9x = 15Therefore, the product of 9 and 15 is 135.
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If f(x) = |x|, which equation describes the graphed function?
Will mark as brainliest
Answer:
to show. the difference frome each other
PLEASE HELP!!!!! Under a dilation centered at the origin, the vertex, (3, −5), of a polygon is moved to the point (−15, 25) .
What is the scale factor of the dilation?
Enter your answer in simplified form in the box.
The scale factor of the dilation is -5
What is the scale factor of the dilation?The points are given as
Point = (3, -5)
Image = (-15, 25)
The scale factor of the dilation is calculated using
Scale = Image/Point
So, we have
Scale = (-15, 25)/(3, -5)
Evaluate
Scale = -5
Hence, the scale factor of the dilation is -5
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if point k is the midpoint of segment HJ, HK=(3x-10) units, and HJ=(4x+19) units, then,
x=__
HK=__
HJ=__
KJ=__
Answer:
x=
Step-by-step explanation:
Given the midpoint formula: ([tex]\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}[/tex]),the Segment Addition Postulate, and the line attached, find x, HK, HJ, KJ
1st step is in the picture.
doing the first step gives us [tex]x + 9[/tex]
Since k is the midpoint, both sides of the midpoint are the same length
so we can use the equation [tex]3x - 10 = x+9[/tex]
subtract x from both sides: [tex]3x-10-x=x+9-x[/tex]
[tex]2x-10=9[/tex]
[tex]2x-10+10=9+10[/tex]
[tex]2x=19[/tex]
[tex]2x/2=19/2[/tex]
[tex]x=9.5[/tex]
Now that we know x, we can substitute to find HK, HJ, and KJ
[tex]HK = 3(9.5)-10[/tex]
[tex]HJ = 4(9.5)+19[/tex]
[tex]KJ = x +9[/tex]
[tex]HK = 28.5 -10\\HJ = 38+19\\\\KJ = 9.5 + 9\\HK = 18.5\\HJ=57\\KJ = 18.5\\[/tex]
Our HK and KJ answer is correct because they are the same, and the midpoint of HK and KJ is point K.
