In word variation, we can write as;
⇒ In the equation, A = C + Kx, if K is a nonzero constant and C = 0, then you have the function A = Kx, which is called a direct variation.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
The equation is,
⇒ A = C + Kx
Now, We know that;
The direct variation is of the form of y = kx.
Here, The equation is,
⇒ A = C + Kx
Hence, Its words variation is written as;
In the equation, A = C + Kx,
if K is a nonzero constant and C = 0, then you have the function A = Kx, which is called a direct variation.
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Joanna polled her peers on their favorite color. The results were 3/4 said blue, 10% said orange, and 0.15 said purple. If Joanna polled 40 peers how many total peers said their favorite color was orange or blue?
Answer:
Orange = 4 peers
Blue = 30 peers
Step-by-step explanation:
Orange
Step 1: Find 10% of the total (40): Convert 10% to decimal form
Step 1: Divide 10 by 100 [tex]10\%\:=\frac{10}{100}[/tex][tex]=0.1[/tex]Step 2: Multiply 0.1 by 40
[tex]=0.1\cdot \:40[/tex]
[tex]=4[/tex]
4 total peers said their favorite color was orange
Blue
Step 1: Convert [tex]\frac{3}{4}[/tex] to percentage; [tex]\frac{3}{4} = 75\%[/tex]
Step 1: Divide the fraction by 100[tex]\frac{3}{4} \times 100[/tex][tex]= 75[/tex]Step 2: Find 75% of 40: Convert 10% to decimal form
Divide 10 by 100[tex]75\%\:=\frac{75}{100}[/tex][tex]=0.75[/tex]Step 3: Multiply 0.75 by 40
[tex]=0.75\cdot \:40[/tex]
[tex]=30[/tex]
30 total peers said their favorite color was blue
Purple
Step 1: Convert 0.15 to percentage
[tex]15\%[/tex]
Step 2: Find 15% of 40
[tex]\frac{x}{40}=\frac{15}{100}[/tex]
Step 3: Cross multiply; Multiply 0.15 by 40
[tex]=0.15\cdot \:40[/tex]
[tex]=6[/tex]
What is the shape with 3 sides and 3 right angles?
There is no shape with exact 3 sides and 3 right angles.
The shape with three sides is a triangle. A triangle is a polygon with three edges and three vertices. It is a basic shape in geometry and can be classified into several types based on the length of its sides and the measure of its angles. Triangles can be classified as acute, right, or obtuse, depending on the measure of their angles.
A right triangle is a triangle with one right angle (90 degrees ). But there can not be a triangle with 2 or more right angle.
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can someone please give me the answer to #1
Answer:
x: -8, 0, 8, 16, 24
y: -8, -5, -2, 1, 4
Step-by-step explanation:
For the X values, it is going up by 8.
For the Y values, plug in the X value into the equation.
Is the triangle with sides of length 5 cm 3 cm and 4 cm a right angled triangle If yes why?
The triangle with sides of length 5 cm 3 cm and 4 cm is a right angled triangle because (3, 4, 5) is a Pythagorean triple.
We know that if non zero real numbers a, b, c follows Pythagoras theorem c² = a² + b², the numbers a, b, c is called as a Pythagorean triple.
And these numbers are nothing but the sides of right triangle.
Here we have been given the triangle with sides of length 5 cm 3 cm and 4 cm
Assume that p = 5 cm, q = 3 cm and r = 4 cm
p² = 25
q² = 9
and r² = 16
Consider q² + r² = 16 + 9
q² + r² = 25
q² + r² = r²
Since given numbers follows Pythagoras theorem, (3, 4, 5) is a Pythagorean triple.
And p = 5 cm, q = 3 cm and r = 4 cm are the lengths of sides of right triangle.
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Jeruto was born when her mother was twenty seven years old and her father thirty years old. After how many years will the mean age of jeruto and her parents be in twentysix years
Answer: 7 years
Step-by-step explanation:
Let the number of years be x. Therefore, their ages in x years will be:
Daughter = x
Mother = 27+x
Father = 30+x
Their mean age will then be:
[x + (27+x) + (30+x)]/3 = 26
(3x + 57) / 3 = 26
Cross multiply
3x + 57 = 26 × 3
3x + 57 = 78
3x = 78 - 57
3x = 21
x = 21/3
x = 7
Therefore, the answer will be 7 years
Check: Daughter = x = 7 years
Mother = 27+x= 27+7 = 34 years
Father = 30+x = 30 + 7 = 37 years
Mean= (7+34+37) / 3 = 78/3 = 26 years
A rectangle has length x and width x - 3. The area of
the rectangle is 10 square meters.
Complete the work to find the dimensions of the
rectangle
Х
x(x - 3) = 10
x? - 3x = 10
x2 - 3x - 10 = 10 - 10
10 m2
X-3
(x + 2)(x - 5) = 0
What are the width and length of the rectangle?
O The width is 1 meter and the length is 10 meters.
O The width is 10 meters and the length is 1 meter.
The width is 2 meters and the length is 5 meters.
The width is 5 meters and the length is 2 meters.
The equation for dimensions of the rectangle is x(x - 3) = 10 and the width is 2 meters and the length is 5 meters.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
x(x-3)=10
x²-3x=10
x²-3x-10=0
x²-5x+2x-10=0
(x-5)(x+2)=0
x=-2,5
x=5 units
x-3=5-2
=2 units
The rectangle's dimensions are x(x - 3) = 10, with a width of 2 meters and a length of 5 meters.
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What is the value of (3/10)3
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
In this question, one is asked to multiply a fraction by a whole number, first model the question.
[tex]\frac{3}{10}(3)[/tex]
In a situation like this, one multiplies the whole number by the numerator (number) over the fraction.
[tex]\frac{3*3}{10}[/tex]
Simplify,
[tex]\frac{9}{10}[/tex]
A common error that people make is that they will multiply both the numerator and denominator by the whole number, this is the same as multiplying the answer by (1), thus it is incorrect.
Answer:
9/10
Step-by-step explanation:
took test
1. If Jose says that 75% of his class of 28 students
rides the bus every day, how many students ride
the bus?
a. 25
b. 15
C. 21
(d. 10
It’s for my other question
Answer:
That looks good
Step-by-step explanation: wait why is this here?
Is angle 1 vertically opposite to angle 4?
Yes, angle 1 is vertically opposite to angle 4 because they are formed due to the intersection of straight lines.
When two lines intersect each other, then the opposite angles formed are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are equal to each other. Also, a vertically opposite angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.
For example, if two lines intersect and make an angle, say X=55°, then its opposite angle is also equal to 55°. And the adjacent angle to angle X will be equal to 180 – 55 = 125°
In the given figure, ∠AOC and ∠BOD form a pair of vertically opposite angles and similarly ∠AOD and ∠BOC form such a pair. Therefore,
∠AOC = ∠BOD
∠AOD = ∠BOC
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The first sequence rule is multiply by 3 starting from 4. The second sequence rule is add 8 starting from 20. What is the first number that appears in both sequences?
12
20
28
36
Answer:
36
Step-by-step explanation:
I thought I just answered that one.
the first sequence had only numbers that can be divided by 3.
so, what is the first number of the second sequence that can also be divided by 3 ?
36 - it fits both.
John and Wesley both work for telephone companies installing internet connections into new homes, but they do not work for the same company. John's paycheck at the end of the month includes his base pay of $2,000 and his commission of $65. 25 for each installation he makes that month. Wesley is paid $380 plus a commission of $105. 75 for each installation he makes each month. In September of last year, they both made the same number of installations and they both earned the same amount of money
The number of installations in September were forty that lead to John and Wesley earning same amount of money.
Let the number of installations be x. The equation of be formed for each paycheck will be -
Total paycheck = base pay + number of installations × comission on each installation
The total paycheck and number of installations is same. So equating the equations by keeping x.
2000 + 65.25x = 380 + 105.75x
Rewriting the equation -
105.75x - 65.25x = 2000 - 380
Performing subtraction on each side of the equation
40.5x = 1620
x = 1620/40.5
Performing division on Right Hand Side of the equation
x = 40
There were 40 installations.
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*****50 POINTSSSS*****
In the figure, quadrilateral GERA is inscribed in circle P. Line TA is tangent to circle P at A, m∠REG = 78°, the measure of arc AR = 46°, and segment ER ≅ segment GA. Find each of the following measures.
m∠GAR =
m∠TAR =
measure of arc GE =
measure of arc AG =
m∠GAN =
measure of arc RE =
Answer:
Givenm∠REG = 78°mAR = 46°ER ≅ GASolutionm∠GAR = 180° - m∠REG = 180° - 78° = 102° (supplementary angles sum to 180°)m∠TAR = 1/2mAR = 1/2(46°) = 23° (tangent chord angle is half the size of intercepted arc)m∠GAN = 180° - (m∠TAR + m∠GAR) = 180° - (23° + 102°) = 55° (straight angle is 180°)mAG = 2m∠GAN = 2(55°) = 110°mRE = mAG = 110° (as ER ≅ GA)mGE = 360° - (mAG + mAR + mRE) = 360° - (110° + 46° + 110°) = 94° (full circle is 360°)is y= 4/5x -8 and y -= -5/4x = +3 parallel perpendicular or neither
Answer:
perpendicular
Step-by-step explanation:
perpendicular if the product of their slopes is equal to -1
Parallel lines have equal or identical slopes
Given a scale factor of 23
and the coordinates of an image after a dilation using (0, 0) as the center of dilation, determine the coordinates of the pre-image. Fill in the blanks for the missing x and y values.
pre-image image
A (0, 3) A' (0, )
B (-6 , ) B' (-4, 8)
C ( 9, 0) C' ( , 0)
Answer:
scale factor(k)=23
A(x,y)=A'(kx,ky)
Let's do by using this formula
C(9,0)=C'(kx,ky)(here x=9 and y=0)
C(9,0)=(23*9,23*0)
C(9,0)=(207,0)
A(0,3)=A'(kx,ky)(here x=0 and y=3)
A(0,3)=A'(23*0,23*3)
A(0,3)=A'(0,69)
Step-by-step explanation:
sorry i dont know how to do B no
The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number. What is the original number?
48
39
57
Answer:
39
Step-by-step explanation:
A blood bank needs 15 people to help with a blood drive. 20 people have volunteered. Find how many different groups of 15 can be formed from the 20 volunteers.
Answer:
15,504 different groups
Step-by-step explanation:
Answer: if they only have 20 patients then there can only be 1 group of 15 people! hope this helps
Step-by-step explanation:
what is the x-intercept of the graph of the equation 3x-4y=20
Answer:
(20/3,0) is your x-intercept
Step-by-step explanation:
To find x-intercept, let y = 0
[tex] \displaystyle{3x = 20}[/tex]
Solve for x, divide both sides by 3:
[tex] \displaystyle{ \dfrac{3x}{3} = \dfrac{20}{3}} \\ \\ \displaystyle{ x = \dfrac{20}{3}}[/tex]
Hence, the x-intercept is (20/3,0). We write in order pair since it's x-intercept and x = 20/3 at y = 0
Simplify the following polynomial, then evaluate for x = -2
2x2 - 4x + 3x2 + x - 7
Answer:
[tex]5x^2-3x-7,\,\,f(-2)=19[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-4x+3x^2+x-7\\f(x)=5x^2-3x-7\\f(-2)=5(-2)^2-3(-2)-7\\f(-2)=5(4)+6-7\\f(-2)=20-1\\f(-2)=19[/tex]
Kate spent 44 pounds in the holidays.
she spent three times as much on clothes as she did on food.
How much did she spend on food ?
Answer:
11 pounds
Step-by-step explanation:
The ratio of the amount of money Rachel spent on food to clothes is 1/3
She spent: 44 : (1 + 3) x 1 = 11 pounds
Answer:11
Step-by-step explanation:
11 times 3 equals 33(for the clothing)
so 11 is left
Please sum 1 help mee
Answer:
Step-by-step explanation:
the green cylinder is 20[tex]\pi[/tex]
while the purple cone is 18[tex]\pi[/tex]
which do you think is more ? :)
Answer:
the cylinder
Step-by-step explanation:
it is easier to use a calculator to calculate these.
the cone is 56.55 and the cylinder is 62.83
Does anyone know?...
Answer:
NOPE
Step-by-step explanation:
I need help with #10
Answer:
D.
Step-by-step explanation:
this seems to be the line of best fit as it is centered in the data.
hope this helps!!
lay a game of rolling a 6-side dice: for each roll, you can get the face value or reroll it, and you can roll it three times at most. Suppose you are a rational person, how munch would you pay for this game
The probability that at least one 6 will occur on two dice is 30.5%.
What is the probability of scoring 6?To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur. There are differences between probability and odds. Odds are calculated by dividing a situation's likelihood of occurring by its likelihood of not occurring.
1, 2, and 3 are the six factors. Four of the results of a single die's six possible outcomes are multiples of 6. It follows that 4/6 is the probability.
11.5%, or slightly less than 33.3% (2/6), out of 36 occasions. The probability that at least one 6 will occur on two dice is 30.5%. Without using the picture, one can also calculate this number mathematically.
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Using the concept of likelihood and probability ,The probability that at least one 6 will occur on two dice is 30.5%.
What is probability?Probability is a measure of the likelihood that a particular event will occur. It is expressed as a number between 0 and 1, with 0 indicating that an event will not occur and 1 indicating that an event will certainly occur. For example, the probability of flipping a fair coin and it landing on heads is 0.5, or 50%. Probability is used in many fields, including mathematics, statistics, finance, and science. In statistics, probability is used to make inferences about a population based on a sample, while in finance, probability is used to evaluate the potential outcomes of investments.
What is conditional probability?Conditional probability is the probability of an event occurring given that another event has already occurred. It is written as P(A|B), which is read as "the probability of A given B." For example, the probability of rolling a 6 on a fair die given that the roll is an even number would be P(6|even) = 1/3, because there is only one way to roll a 6 out of the 3 possible even numbers (2, 4, 6).
1, 2, and 3 are the six factors. Four of the results of a single die's six possible outcomes are multiples of 6. It follows that 4/6 is the probability.
11.5%, or slightly less than 33.3% (2/6), out of 36 occasions. The probability that at least one 6 will occur on two dice is 30.5%. Without using the picture, one can also calculate this number mathematically.
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Select the correct answer.
Which statement describes the effect of taxes on a traditional IRA retirement account?
Ο Α.
A traditional IRA Is tax exempt because the income earned is never taxed.
OB. A traditional IRA is tax deferred because the income earned isn't taxed until the money is withdrawn.
OC. A traditional IRA is tax exempt because the income earned Isn't taxed until the money is withdrawn.
OD
A traditional IRA is a taxable account because the income earned Is taxed when it is contributed.
Answer:
C.
A traditional 401(k) is tax deferred because the income earned isn't taxed until the money is withdrawn.
Explanation:
There are two types of 401 k plans: traditional 401k and Roth 401k plans. The difference is the way there are taxed.
The traditional 401k plan is an employer-sponsored retirement scheme. The employer withholds the employee contributions and remits the funds to the employee's 401k savings account. The amount deducted as the employee contribution is not subject to taxation at that point. Contributions to 401k plans reduce the employee's taxable income.
The amounts saved in a 401k plan are invested and generate income. Employees are not expected to pay taxes on the income generated every financial period. All taxes are deferred until the time of withdrawal.
which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
A. The function shown on the graph has a smaller rate of change, but
a higher starting point.
O B. The function shown on the graph has a greater rate of change, but
a lower starting point.
C. The function shown on the graph has a greater rate of change and
a higher starting point.
D. The function shown on the graph has.a omaller rate of change and
a lower starting point.
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
What is rate of change in linear graph?Rate of change = slope of a linear graph.
Given the linear function, [tex]y=4x+2[/tex] , the rate of change here is represented by the slope of the line, which is 4.
Let's find the rate change of the function represented on the graph using slope formula:
Rate of change = [tex]\frac{y2-y1}{x2-x1}[/tex]
Use coordinates of any two points on the line. Let's take,
[tex](0,4)= (x1,y1)\\(1,7)=(x2,y2)[/tex]
Rate of change = [tex]\frac{7-4}{1-0} = 3[/tex]
Rate of change of the linear function of the graph = 3.
Thus the function on the graph has a smaller rate of change, than the function, y = 4x + 2.
The starting value of a function is the y-intercept, that is, the value of y, when x = 0. It is the point at which the line intercepts the y-axis.
The starting value of the linear function, y = 4x + 2 is 2.
The starting value of the function on the graph is 4. At this point, x = 0.
Thus, the function on the graph has a higher starting point.
The statement that correctly compares the function shown on this graph with the function y= 4x+2 is:
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
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Order these numbers from least to greatest.
8.26, 8.1061, 8.209, 8.6
Answer:
8.1061
8.209
8.26
8.6
Step-by-step explanation:
What is the midpoint of f/x )=( x 2 )( x 4?
The midpoint of the x-intercepts of f(x) = (x - 2)(x - 4) is (3, 0).
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.
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Can you help me with this
can anyone help?? I’ll give brainliest! :)
Answer:
Step-by-step explanation:
I believe the answer is
C) Laura mixed more vinegar per cup of olive oil, because 3:1 is greater than 4:2
Per 1 cup, Laura has 3 tbsp of vinegar, but Juliette only has 2 tbsp per cup.
It wouldn't be D) because 3 tbsps aren't bigger than 2 cups....