Answer: y= -2/3 x + 1/3
Step-by-step explanation:
The first thing you need to do is but it into standard y = mx + b form, where m is the slope of the line and b is the y-intercept. Using algebra, we can turn 3y + 2x = 1 into y = -2/3x + 1/3. the slope is -2/3 which means you start at the y-intercept (0,1/3) and go down 2 and to the right 3. Putting it on paper or in a graphing simulator will give you this line. The point on the y-axis is the y-intercept and the point on the x-axis is the x-intercept.
Answer:
make 3y subjet of the fomulae then subtract 2x then divide by 3 both sides then the ans will be y= -2x+1/3
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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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
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]
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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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.
Find the value of x.
110
(4x +90)°
x = [?1°
x=5
steps
they are vertical angles
they are equal
4x+90=110
4x=20
x=5
Answer:
Step-by-step explanation:
9900
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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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.
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]
Marty can buy lunch for 5 dollars in the cafeteria how many days can he buy lunch with 30 dollars
Kevin rode his bike 18 miles in 1 1/2 hours. Write the ratio for miles to
hours in three different ways.
Kevin rides hid bike at 12mph
you can write that as
12:1
12 to 1
12/1
(10, 6), (1, –4) cual es en procedimiento?
Answer:
10/9
Step-by-step explanation:
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!
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
I need help solving the following equation. Please and thank you...
(3x^2+2x+1) - (-3x+x^2+4)
If f(x) = |x|, which equation describes the graphed function?
Will mark as brainliest
Answer:
to show. the difference frome each other
A model plane has a scale of 1 in 6 yards if the model plane is 3 in tall then how tall is the real plane
The real plane is 18 yards tall if the model plane is 3 in tall.
What is Scaling ?
A physical model that is geometrically similar to an object is called a scale model (known as the prototype).
Scale models are typically more compact than huge prototypes like cars, structures, or people.
Divide the length by the conversion factor to convert a measurement in inches to a measurement in yards.
Since 36 inches are equivalent to one yard, you may convert using the following straightforward formula:
yards = inches/ 36
Given:
inches / yards =1:6
As we know the model of the plane is 3 inches tall.
Therefore, we can convert the 3 inches to x yards.
[tex]\frac{1inch}{6yards} =\frac{3inches}{x yards}[/tex]
1 /6= 3/x
By cross multiplying the above equation we can get the value of x.
1x= 6×3
x=18
x= 18 yards
The real plane is 18 yards.
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Need help with this math quick. Need to get this done.
1) (m · n)(- 3) = 9
2) (m / n)(x) = x / x, for x ≠ 0
What is the result of two operations between two functions?
Herein we have two operations between two functions of the form n(x) = x: (i) Multiplication, (ii) Division. In the first part we find the case of a multplication between two functions:
(m · n) (x) = m(x) · n(x) (1)
Then,
(m · n) (- 3) = m(- 3) · n(- 3) = (- 3) · (- 3) = (- 3)² = 9
The second part present a case of a division between two functions:
(m / n) (x) = m(x) / n(x) (2)
Then,
(m / n) (x) = m(x) / n(x) = x / x, where x = 0 leads to an indetermination.
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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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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
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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What multiple of 81 is between 80200 and 80300?
Answer:
80 271
Step-by-step explanation:
80200 / 81 = 990.123
so 991 * 81 = 80 271
The multiple of 81 between 80200 and 80300 is 80271.
What is multiple?Multiple can be thought of as how many times a number is being multiplied, Like 81n where n ∈ N.
The difference between 80200 and 80300 is 100 and it is not twice the value of 81 so there will be only one such number which is a multiple of 81.
One easy way of determining it divide the larger value by 81 and subtract the remainder from it.
∴ 80300 ÷ 81.
= (991×81) + 29.
∴ The multiple of 81 between 80200 and 80300 is
(80300 - 29) = 80271.
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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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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
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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Please I need an answer
Answer:im guessing its 7 and 1
Step-by-step explanation:
A bag of apples weighs 9 1/3 lbs. If there are 14 apples in the bag, what is the weight of one individual apple
The weight of one individual apple is 2 / 3 pounds.
How to find the weight of each apple ?The bag of apples weighs 9 1/3 lbs.
There are 14 apples in the bag.
The weight of one individual apple in the bag can be calculated as follows:
weight of the bag of apples = 9 1 / 3 = 28 / 3 pounds
There are 14 apples.
Therefore,
14 apples = 28 / 3 pounds
1 apple = ? pounds
cross multiply
Hence,
weight of one apple = 28 / 3 ÷ 14
weight of one apple = 28 / 3 × 1 / 14
weight of one apple = 28 / 42
weight of one apple = 2 / 3
Therefore, the weight of one individual apple is 2 / 3 pounds.
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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]
Could someone explain on how to solve ‘square root’ problems? I don’t really understand the subject.
Thanks!! ^^
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)