Answer: It should be $101.18
Step-by-step explanation:
You would basically subtract the 81.60 to the 24% making it 19.58. then from the 19.58 you add the 81.60 and there you go!
the quotient of four and a number increased by ten as an algebraic expression
Answer:
(x/4)+10
Step-by-step explanation:
Quotient=division, so x/4
Increased by 10, so (x/4)+10
At a restaurant, there are three different appetizers on the menu: spring rolls, chicken tenders, and pretzel dippers. One group buys 2 plates of chicken
tenders and 1 plate of pretzel dippers, and spends $23 on appetizers. Another group spends $30.75 to buy 3 plates of spring rolls and a plate of chicken
tenders. A third group buys one of each appetizer, spending $22.25 on appetizers.
How much does a plate of spring rolls cost?
A. $7.75
B. $8.50
C. $7.50
D. $6.50
Answer: A
Step-by-step explanation: To solve this problem, we can set up a system of equations to represent the information given in the problem. Let x represent the cost of a plate of spring rolls, y represent the cost of a plate of chicken tenders, and z represent the cost of a plate of pretzel dippers.
The first group spent $23 on 2 plates of chicken tenders and 1 plate of pretzel dippers, so the equation for this group is:
2y + z = $23
The second group spent $30.75 to buy 3 plates of spring rolls and 1 plate of chicken tenders, so the equation for this group is:
3x + y = $30.75
The third group spent $22.25 on one of each appetizer, so the equation for this group is:
x + y + z = $22.25
Now that we have three equations, we can use algebraic techniques to solve for the value of x, which represents the cost of a plate of spring rolls.
First, we can solve the second equation for y:
y = $30.75 - 3x
Substituting this expression for y into the first equation, we get:
2($30.75 - 3x) + z = $23
Solving for x, we find that x = $7.75.
Therefore, the cost of a plate of spring rolls is $7.75, so the answer is A.
Mr. Radmanic and Mrs. Chin both fill up their cars with gasoline at the beginning of the week. The equation compares the number of miles driven, x, to the amount of gasoline in the tank, y. Find and compare the y-intercepts for the models and interpret their real world meanings
The y-intercepts for the models are equal to 13.2.
What is slope?A line's steepness and direction are measured by the line's slope.
Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all
Any two different points on a line can be used to calculate the slope of any line.
A line's slope is determine by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.
Two locations located on a straight line can be used to determine a line's slope. We can use the slope of line formula if we know the two spots' coordinates. These two points' coordinates should be-
P1 = (x1, y1) and P2 = (x2, y2)
Hence, The y-intercepts for the models are equal to 13.2.
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Lei withdrew $50 from her bank account every day for a week. What was the change in her account in that week?
Ms. Wilson purchased a welcome mat for her front porch that is a semicircle. The straight side of the mat is 38 inches. To the nearest hundredth, what is the area of the porch mat?
Answer:
567.06 in.²
Step-by-step explanation:
The mat is a semicircle.
The straight side is a diameter.
d = 38 in.
r = d/2 = 19 in.
Area of circle = πr²
Area of semicircle = πr²/2
A = 3.14159 × (19 in.)² / 2
A = 567.06 in.²
PLEASE HELP< I DONT UNDERSTAND THIS
y=1/3x+4 is the equation of line passing through (3, 5) and parallel to -x+3y=6
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
-x+3y=6
3y=6+x
Divide both sides by 3
y=2+1/3x
y=1/3x+2
slope is 1/3
In parallel lines the slope will remain same
We need to find the equation of line passing through (3, 5) and parallel to 3y=6+x
5=1/3(3)+b
5=1+b
b=4
Hence, y=1/3x+4 is the equation of line passing through (3, 5) and parallel to -x+3y=6
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Which expression is equivalent to 1.2y+4.5-3.4y-6.3
Answer: -2.2y - 1.8
Step-by-step explanation:
Combine like terms
1.2y+(-3.4y)
4.5+(-6.3)
-2.2y - 1.8
Describe the correlation in the scatter plot below.
Answer:
Step-by-step explanation:
The scatter plot shows positive correlation because as the plotted values of x increase, the values of y generally increase.
When x and y both increase, you have a positive correlation. When one increases and the other decreases then you have a negative correlation.
i need help please!!
Answer:
12
Step-by-step explanation:
Chris and Pat go on a 30 km run. They both usually run at 10 km/h. If Chris runs at 1/2 his usual running speed, and Pat runs at 3/2 times her usual speed, how many more hours does it take Chris to complete the run than it takes Pat to complete the run?
A. 2 B.4 C.1 d.6
Answer: d.) 6
Step-by-step explanation:
Since Chris runs 1. 2 as fast as his usual running speed, he runs at 5 km/h, and so will take 6 hours to complete the 30 km run. Since Pat runs at 11. 2 times her usual speed.
make g the subject of 3e+4g=7+9eg
Answer:
g= 7-3e / 4 - 9e
Step-by-step explanation:
I assume you need to solve for g. Please let me know if that is not the case
What is the vertex of g(x) = -6.3|x|
The equation of a line is y = 2x - 4. If the equation is changed to y = 2x - 2, how will the graph of the line change?
Responses
A The line will become less steep.The line will become less steep.
B The line will shift right 2 units.The line will shift right 2 units.
C The line will shift up 2 units.The line will shift up 2 units.
D The line will shift left 2 units.The line will shift left 2 units.
E The line will shift down 2 units.
The equation of a line is y = 2x - 4. If the equation is changed to y = 2x - 2, how will the graph of the line change?
A The line will become less steep.
B The line will shift right 2 units.
C The line will shift up 2 units.
D The line will shift left 2 units.
E The line will shift down 2 units.
Basic Triangle Proofs (Congruence Only - No CPCTC)
Given:
AB⊥ BC
AD⊥ DC
BC≅ AD
Prove: △ABC≅△CDA
The given triangles are congruent following the side angle side (SAS) congruency .
Given,
AB⊥ BCAD⊥ DCBC≅ AD∴ ∠ A = ∠ B = ∠ C = ∠ D =90°
In Δ ABC and Δ CDA
AB = CD
∠ BAC= ∠ DAC
AB= AD
∴ By Side Angle Side congruent property
Δ ABC ≅ Δ CDA
Congruent refers to figures that are similar in all respects, primarily in terms of size and shape. Congruence describes how two congruent figures relate to one another.
The relationship between two figures that are congruent is referred to as congruence. Let's talk about the triangle SAS congruence now. We don't necessarily need to look into all the sides and angles to determine whether the two triangles are identical.
Triangles must be congruent to mean,
There are no different comparable angle pairs.
It is equal on all comparable sides.
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Translate this phrase into an algebraic expression.
60 decreased by twice Jenny's score
Use the variable to represent Jenny's score. please help.
The expression for 60 decreased by twice Jenny's score 60 - 2x.
What is an algebraic expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
Let Jenny's score be x.
Twice Jenny's score will be 2x.
Therefore, the expression will be:
= 60 - 2x
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Find the equation of a line parallel to y=-3 passing through the coordinate (2 6).
The equation of line parallel to y = -3 passing through (2,6) is y = 6
The slope-intercept form of straight line is used to find the equation of line. It is given as y =mx + b
where m is a slope of line
b is y-intercept
According to the question,
The required line is parallel to line y = -3
Slope of given line : m₁
m₁ = 0
When two lines are parallel to each other then their slopes are equal
Therefore , slope of required line is m₂ = m₁ = 0
Also , given that the line is passing through the coordinate (2,6)
So , 6 = 0(2) + b
=> b = 6
Substituting the values of slope and intercept
y = 6 is required equation of line
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a certain statistic dˆ is being used to estimate a population parameter d. the expected value of dˆ is not equal to d. what property does dˆ exhibit?
Using the Central Limit Theorem for proportions, the correct option is:
E. The statistic is biased.
What is Central Limit Theorem?
The central limit theorem in probability theory proves that, even if independent random variables are not normally distributed in themselves, in many cases, when they are added together, their properly normalised sum tends toward a normal distribution.
The central limit theorem states that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently large random samples from the population with replacement.
The Central Limit Theorem establishes that for a proportion p in a sample of size n:
- The expected value is[tex]$\mu=p$[/tex].
- The standard error is [tex]$s=\sqrt{\frac{p(1-p)}{n}}$[/tex]
In this problem, the expected value is different of the expected of [tex]$\mu=p$[/tex], hence, the statistic is biased, and the correct option is [tex]$\mathbf{E}$[/tex].
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Extra Points if you answer and if the answer is correct.
Find the value of y? Round to the nearest tenth: 42, 85 and 31
What does y equal to?
The value of the unknown side y for the given triangle will be 46.15.
What is the triangle?In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
The sine law, also known as the law of sines, states that the ratio of a triangle's side length to the sine of its opposite angle is constant for all three sides. It's sometimes referred to as the sine rule.
We have to find the value of the side as y.
Apply Sin law in the given triangle,
SinA/a=SinB/b=SinC/c
Sin42/31=sin85/y
0.6691/31=0.9962/y
y=30.8822/0.6691
y=46.15
Thus, the value of the unknown side y for the given triangle will be 46.15.
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Please help me
And recheck ur answers
Answer:
Interest rate = 7 percent
Step-by-step explanation:
i = prt
r = [tex] \frac{i}{pt} [/tex]
r = [tex] \frac{1400}{20000 \times 1} [/tex]
r = 0.07
0.07 x 100 = 7
"opt-in" organ donation programs, where adults can choose to enroll in the program, have approximately 15% participation rates; "opt-out" organ donation programs, in which adults are enrolled by default and can choose to decline participation in the program, have approximately 90% participation rates. What best explains this difference?
It explains that people don't want to donate their organs in opt out because the probability of non donation public are greater.
As we know people who wants to donates their is organs opt out are approximately around 15 %
And we also know that people who don't want to donate their organs are approx. 90 %
In countries such as Australia, laws make organ donation the default option at the time of death, and so people must explicitly “opt out” of organ donation. In these so-called opt-out countries, more than 90% of people register to donate their organs.
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17
ning:
of
2
Find the Missing Angle
Instructions: Find the measure of the indicated angle.
Check
to
70°
The values of as shown in the isosceles triangle x is 55°
What is an isosceles triangle?An isosceles triangle is a type of triangle that have two equal sides.
To calculate the value of x in the isosceles triangle, we use the formula below.
Note: The sum of the angle in a triangle is 180°.
Formula:
180 = a+b+c............. Equation 1Where:
a,b,c = The three sides of the triangle respectively.From the image,
Given:
a = 70°b = c = xSubstitute these values into equation and solve for x
x+x+70 = 1802x = 180-702x = 110x = 110/2x = 55°Hence, the values of x is 55°
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how many times does one go into 3
Answer:
Step-by-step explanation: 3?
HELPPP SOLVE THIS PLEASE ALL OF IT
Answer:
f = 3
g = -1
h = 6
r = 18
Step-by-step explanation:
Box 1
f(x) = [tex]2x^{4}[/tex]-[tex]12x^{3}[/tex]+[tex]16x^{2}[/tex]+4x+15 with x = 3
f(3) = [tex]2(3^{4)}[/tex] - [tex]12(3^{3} )[/tex] + [tex]16(3^{2})[/tex]+ 4(3) + 15
Reorder
Evaluate
Multiply
3f = 2 x 81 - 12 + 27 +16 x 9 + 12 +15
3f = 162 - 324 + 144 + 12 + 15
3f = 9
3 ÷ 3
f = 3
Box 1
g(x) = [tex]3x^{3}[/tex] - [tex]16x^{2}[/tex] - 7x - 36 with x = 6
g(6) = [tex]3(6^{3} )[/tex] - [tex]16(6^{2})[/tex] - 7(6) - 36
g6 = 3 x 216 - 576 - 42 - 36
g6 = -6
6 ÷ 6
g = -1
Box 2
h(x) = [tex]5x^{3}[/tex] - [tex]2x^{2}[/tex] - 3 with x = -1
h(-1) = [tex]5(-1^{3} )[/tex] - [tex]2(-1^{2})[/tex] -3
h-1 = -5 + 2 -3
h-1 = -6
-1 ÷ - 1
h = -6
Box 2
r(x) = [tex]4x^{4}[/tex] - [tex]9x^{2}[/tex] + 5x - 2 with x = 2
r(2) = [tex]4(2^{4} )[/tex] - [tex]9(2^{2} )[/tex] + 5(2) - 2
r2 = 64 - 36 + 10 - 2
r2 = 36
2 ÷ 2
r = 18
Which represents a side length of a square that has an area of 450 square inches? in. In. 112. 5 in. 115. 5 in.
If a square has an area of 450 square inches then according to Area = 2(length of a side), the length of one side of that square will be 225 inches.
What is the formula of area and perimeter of square?The formula of Area of a Square is ,
area = side × side = side² square units
whereas the perimeter of square is = 4 x side
What is a square simple definition?A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at right angles or at 90 degrees.
let the length of a side of a square is x
area of square is = 450 square inches
as area of square is found as
Area = 2(length of a side)
2x = 450 square inches
x =450/2
x=225 inches
so the length of each side of square is 225 inches.
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On a snow day, Logan created two snowmen in his backyard. Snowman A was built to
a height of 34 inches and Snowman B was built to a height of 46 inches. The next day,
the temperature increased and both snowmen began to melt. At sunrise, Snowman
A's height decrease by inches per hour and Snowman B's height decreased by 7
inches per hour. Let A represent the height of Snowman A t hours after sunrise and
let B represent the height of Snowman B t hours after sunrise. Write an equation for
each situation, in terms of t, and determine the interval of time, t, when Snowman A
is taller than Snowman B.
A
B =
Snowman A is taller than Snowman B when to
Equation for each situation are A = 59 -7t and B = 34 -2t and t<5 is the interval of time.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Snowman A starts at 59 inches and decreases height at 7 inches per hour.
The height can be represented as A = 59 -7t
Snowman B starts at 34 inches and decreases height by 2 inches per hour. That height can be represented by B = 34 -2t
A is taller than B.
A > B
59 -7t > 34 -2t
add 7t-34
25 > 5t
Divide by 5
5 > t
A will be taller than B when t < 5.
Hence, A = 59 -7t and B = 34 -2t are equation for each situation and t< is the interval.
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Please someone help me in 1985, there were 285 cell phone subscribers in the small town of glenwood. the number of subscribers increased by 75% per year after 1985. Find out the number of subscribers in 2008? I just need the equation not the full answer
The number of subscribers in 2008 will be 110845988.
How to calculate the value of the subscriber?From the information, in 1985, there were 285 cell phone subscribers in the small town of glenwood. the number of subscribers increased by 75% per year after 1985.
It should be noted that the number of years between 1985 and 2008 will be:
= 2008 - 1985
= 23 years.
Therefore, the number of subscriber in 2008 will be:
= 285 × (1 + 75%)^23
= 285 × 1.75^23
= 285 × 388933.29
= 110845988
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plsss helpp meeee!!!!!!!
Answer:
is that geometry
Step-by-step explanation:
Charlotte is working two summer jobs, making $7 per hour washing
cars and making $15 per hour clearing tables. In a given week, she can
work at most 16 total hours and must earn a minimum of $150. If x
represents the number of hours washing cars and y represents the
number of hours clearing tables, write and solve a system of
inequalities graphically and determine one possible solution.
Inequality 1: y
Inequality 2:y
The value of the inequality is ( 45/4 , 19/4 )
What is Inequality ?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
According to the given information
Number of hours spent in washing cars = x
Number of hours spent in clearing tables = y
Amount paid per hour for washing the car = $7
Amount paid per hour for clearing the tables = $15
Earnings
7x + 15y ≥ 150
x + y ≤ 16
7x + 15y = 150 ........ (i)
x + y = 16 ........(ii)
Multiply (ii) by 7
7x + 7y = 112 ..... (iii)
Subtract (i) and (iii)
8y = 38
y = 19/4
Putting the value of y in (ii)
x + 19/4 = 16
x = 16 - 19/4
x = 45/4
The value of the inequality is ( 45/4 , 19/4 )
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Isaac owns a food truck that sells tacos and burritos. He only has enough supplies to make 130 tacos or burritos. He sells each taco for $4.25 and each burrito for $8.50. Isaac must sell a minimum of $850 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
By solving linear inequation, it can be calculated that
x = 60 , y = 70 is one possible solution.
What is linear inequation?
Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by <, >, ≤, ≥
A one degree inequation is known as linear inequation
Let the number of tacos sold be $x and the number of burrito sold be $y
He only has enough supplies to make 130 tacos or burritos.
x + y [tex]\leq[/tex] 130 ... (1)
He sells each taco for $4.25 and each burrito for $8.50.
Isaac must sell a minimum of $850 worth of tacos and burritos each day.
4.25x + 8.5y [tex]\geq[/tex] 850
x + 2y [tex]\geq[/tex] 200 ... (2)
The inequalities has been solved graphically
One possible solution is x = 60, y = 70
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At a hospital, out of 10 doctors, 3 are on duty on Saturday, 4 on Sunday, and 2 on both days. If one of these doctors is randomly selected, what is the probability that she or he is on duty on Saturday or Sunday?
The probability distribution that she or he is on duty on Saturday or Sunday will be 0.7
What is probability distribution ?
A frequency distribution that has been idealised is a probability distribution.
An individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each potential value of a variable appears.
The probability of occurrence of a value determines how frequently it appears in a sample. Probability is a value between 0 and 1 that indicates the likelihood that something will happen:
Zero denotes impossibility.1 denotes a certainty.A value will occur more frequently in a sample the higher its likelihood.
The probability of a value is more particularly the relative frequency in an indefinitely large sample.
Probability distributions are theoretical since it is not feasible to obtain infinitely large samples in practise.
They are idealised frequency distributions that are intended to represent the population from which the sample was taken.To characterise the populations of real-world variables, such as coin tosses or the weight of chicken eggs, probability distributions are utilised. They are also used to calculate p values in hypothesis testing.Let the people work on Sunday = sun = 4
Let the people work on Saturday = sat = 3
total no. of doctors are 10
so the probability distribution of people work on either Sunday or Saturday will be :
= Sun + sat / total no of doctors
= 3+4/10
=0.7
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