Answers
Answer:
Angle VSR + Angle SRU = 180° (corresponding angles, sum of angles on a straight line = 180°)
(5x + 4) + (44 + x) = 180
6x + 48 = 180
6x = 132
x = 22
Related Questions
A furniture store is having a 20% sale.
(a) A sofa usually costs £1200. Work out the sale price of the sofa.
(b) The sale price of a table is £480. Work out the original price of the table.
Answers
Answer:
a) £960
b) £576
Step-by-step explanation:
Hi!
Ok so since the store has a 20% sale we multiply 0.2 to the original amount it would have costed without the sale:
a) [tex]1200*0.2 = 240[/tex]
Then we subtract the number we got from the price:
1200 - 240 = 960
Now we do the same thing but this time add since we are trying to find the price of the table before the sale:
b) [tex]480*0.2 = 96[/tex]
480 + 96 = 576
Please ask me if you have any more questions!
and Have a great day! :)
please help math is an absolute pain
Answers
Answer: 3/5 cm
Step-by-step explanation:
Let the length of the base be x. Then, using the formula for the area of a triangle,
[tex]\frac{3}{25}=\frac{1}{2} \cdot \frac{2}{5} x\\\\\frac{3}{25}=\frac{1}{5}x\\\\x=\frac{3}{5}[/tex]
Oliver estimates the weight of his cat to be 16 pounds. The actual weight of his cat is 14.25 pounds. What is the percent error of Olver's estimate? Round the percent to the nearest tenth if necessary.
Answers
ANSWER
The percent error is 10.9 %
EXPLANATION
The percent error is:
[tex]\text{ \% error}=\frac{|approx-exact|}{exact}\times100[/tex]In this problem, the approximate value is 16 and the exact value is 14.25:
[tex]\begin{gathered} \text{ \% error}=\frac{|14.25-16|}{16}\times100 \\ \text{ \% error}=\frac{1.75}{16}\times100 \\ \text{ \% error}=0.109375\times100 \\ \text{ \% error}=10.9375\approx10.9\text{ \%} \end{gathered}[/tex]Answer:
10.9%
Step-by-step explanation:
14.25/16 = 0.890625
0.890625 * 100 = 89.0625
1 - 89.0625 = 10.9375%
-2 = y + 5/6 solve for y and simplify your answer as much as possible
Answers
Step-by-step explanation:
Solve for y: -2 = y + 5/6
-2 = y + 5/6 subtract 5/6 from both sides:
-2 - 5/6 = y + 5/6 - 5/6
-2 - 5/6 = y
combine left side:
-17/6 = y
so:
y = -17/6
OR:
[tex]y = -2\frac{5}{6}[/tex]
The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 335 people entered the park, and the admission fees collected totaled 940 dollars. How many children and how many adults were admitted?
Answers
Let
number of children admitted = x
number of adult admitted = y
Total number admitted = 335
[tex]\begin{gathered} x+y=335 \\ 1.5x+4y=940 \\ x=335-y \\ 1.5(335-y)+4y=940 \\ 502.5-1.5y+4y=940 \\ 502.5+2.5y=940 \\ 2.5y=940-502.5 \\ 2.5y=437.5 \\ y=\frac{437.5}{2.5} \\ y=175 \\ x+y=335 \\ x+175=335 \\ x=335-175 \\ x=160 \end{gathered}[/tex]number of children = 160
number of adult = 175
why is sampling with replacement used? to ensure that the sample size is as small as possible to ensure that individuals cannot be selected twice to ensure that the proportions of subgroups in the sample are exactly the same as their proportions in the population to ensure that the probability of selecting any specific individual stays constant
Answers
To determine probability with replacement, It uses sampling with replacement. In other words, you want to determine the likelihood of an event in which you choose a ball, card, or other object from a set of options and then swap it out after each choice.
Example:
Consider a scenario in which you wished to sample two people from a population of seven.
Those people are:
John, Jack ,Qiu, Tina, Hatty, Jacques, Des
Their names could be placed in a hat. If you sample with replacement, you would pick one name, put it back in the hat, and then pick a different name. Your two-name sample has the following potential outcomes:
John, John
John, Jack
John, Qui
Jack, Qui
Jack Tina
…and so on.
The two products you sample with replacement are independent. In other words, the outcome of one has no bearing on the other. The odds of picking the first name are 1/7, and the odds of picking the second name are 1/7.
P(John, John) = (1/7) * (1/7) = .02.
P(John, Jack) = (1/7) * (1/7) = .02.
P(John, Qui) = (1/7) * (1/7) = .02.
P(Jack, Qui) = (1/7) * (1/7) = .02.
P(Jack Tina) = (1/7) * (1/7) = .02.
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A company's stock began the day at $ 36.77per share. That price drops by $1.69 each hour. What is the price per share after 5 hours? What would it be after 23 hours if this rate continues? Use pencil and paper. Explain what the signs of the answers mean in this context.
Answers
The price per share after 5 hours is $28.32
The price per share after 23 hours is $-2.1
Given,
A company's stock began the day at $ 36.77per share.
and, price drops be $1.69 each hour.
To find the what is the price per share after 5hours
and, also find what will be after 23 hours rate continues?
Now, According to the question:
The price of the company's stock is initially at $36.77 per share. Each hour the price drops by $1.69. This condition can be modeled by the function:
P(t) = 36.77 - 1.69t
Where t is the time in hours.
The sign means the function is decreasing as time passes.
When t=5 hours, the price will be:
P(5) = 36.77 - 1.69 × 5 = 28.32
The price per share after 5 hours is $28.32
Now find the price when t=23 hours
P(23) = 36.77 - 1.69 × 23 = - 2.1
The price per share after 23 hours is $-2.1
Hence, The price per share after 5 hours is $28.32
The price per share after 23 hours is $-2.1
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A pet store makes a profit of $4.75 per bag on its line of organic dog food. The store wants to make a profit of no less than $5,700. Could selling 1,300 bags of dog food meet this goal?
Answers
39% of 80 74% of 240 91% of 82 66% of 160
9% of 71 126% of 80 234% of 145 97.9% of 39
52% of 57.9 33% of 15.3
Answers
Answer:
39% of 80 = 39.2
74% of 240 = 177.6
91% of 82 = 74.62
66% of 160 = 105.6
9% of 71 = 63.9
126% of 80 = 100.8
234% of 145 = 339.3
97.9% of 39 = 38.181
52% of 57.9 = 30.108
33% of 15.3 = 5.049
Step-by-step explanation:
In order to find the percentage of each equation, we will use the first one as an example. We take the 39%, and convert it to 0.39 and get rid of the %. Then, "of" means multiplication.
So, we have:
0.39 x 80 = 39.2
In Arizona, a minimum temperature of - 40.0°C was recorded at Hawley Lake in 1971. A maximum recorded temperature of 53.3°C was recorded at Lake Havasu City in 1994. Find the difference between these maximum and minimum temperatures.
Answers
Answer:
Your answer is 93.3.
Step-by-step explanation:
[tex]53-[/tex][tex](-40) = 93.3[/tex]
Kaj invests money in an account paying a simple interest of 1.2% per year. If she invests $90 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?
Answers
Answer:
$91.08
Step-by-step explanation:
Interest = $90 × .012 = $1.08
Total amount = $90 + $1.08 = $91.08
Can somebody help me with number 11?
Answers
The unknown angles are as follows:
m∠EFH = 80°m∠EFG = 160°The value of ST in the line segment is 22 units.
How to find angles and mid points?An angle bisector is a bisector that bisect an angles into two equal parts.
Therefore, EF is the angle bisector of ∠EFG.
The bisector divides the ∠EFG equally into ∠EFH and ∠HFG.
Hence,
∠EFH = ∠HFG
m∠HFG = 80°
m∠EFH = 80°
m∠EFG = 80 + 80
m∠EFG = 160°
12.
Let's find ST in the line segment.
PT = 40
QS = 12
PQ = QR = RS = x
QR + RS = QS
2x = 12
x = 12 / 2
x = 6
Therefore,
PQ = QR = RS = 6 units
PS = PQ + QR + RS
PS = 6 + 6 + 6
PS = 18 units
Hence,
ST = PT - PS
ST = 40 - 18
ST = 22 units
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a triangle with a perimeter of 50 has side lengths x-1, 2x-3, and 3x "-6." what are the side lengths
Answers
The dimensions of the sides of the triangle is found as 9 units, 17 units and 24 units.
What exactly is the perimeter?Any closed shape's perimeter is just the total length of the its boundary.The perimeter of a shape is defined as the total length round the.It is the length of the outline or boundary of any two-dimensional geographic shape.The perimeters of different shape can be equal in size depending on the dimensions.For the given question,
The perimeter of the triangle is 50 units.
The three sides of the triangle is given as;
x-1, 2x-3, and 3x - 6The formula for finding the perimeter is;
Perimeter = sum of all sides.
Let 'P' be the perimeter of the triangle. Then,
P = x-1 + 2x-3 + 3x - 6
Simplifying.
P = x + 2x + 3x - 1 - 3 - 6
50 = 6x - 10
6x = 60
x = 10
For the measure of the side length, put x = 10 in the sides.
10-1 = 9 units2×10-3 = 17 units3×10 - 6 = 24 units.Thus, the dimensions of the sides of the triangle is found as 9 units, 17 units and 24 units.
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Please help me,
Susan colored in the decimal grid shown below. Right a multiplication expression for the area she colored. Then multiply
Answers
AnswerAnswerAnswer:
mutiply 14 by 6704
Step-by-step explanation:
The multiplication expression for the area covered is 3 x 8 and the number of grids will be 24.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
As per the given decimal grid,
The number of colored raw = 8
The number of colored columns = 3
Total grids = 8 x 3 = 24
Hence "The multiplication expression for the area covered is 3 x 8 and the number of grids will be 24".
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if it is accepted that an observed association is a causal one, an estimate of the impact that a successful preventive program might have can be derived from:
Answers
The estimate of the impact that a successful preventive program might have can be derived from
attributable risk.
What is an attributable risk?In epidemiology, attributable risk or excess risk is a phrase equivalent with risk difference, which has also been used to express the attributable proportion among the exposed and the population.
Attributed risk assists in determining how much of an outcome is attributable to a certain risk factor (i.e., an estimate of the excess risk) in a population exposed to that factor.
The rate (percentage) of a health result (illness or death) in exposed persons that can be linked to the exposure is known as the attributable risk (AR). Attribitable risk measures how much more common a result is in absolute terms among the exposed than the non-exposed.
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Hi, can y oh please me I’m stuck on this question.
Answers
The measure of angle 2 is 81° because angles 1 and 2 are corresponding angles.
Corresponding angles:
Corresponding angle means the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line.
Given,
Two electricity poles are built standing parallel to each other, as shown below. The measure of angle 1 is 81°.
Here we need to find the measure of the angle 2.
We know that,
If the lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet.
And as per the definition of corresponding angles, we know that, if any two lines are said to be parallel if the Corresponding angles so formed are equal.
Then the measure of the angle 2 is 81° because angle 1 and 2 are parallel.
Therefore, those angles are the corresponding angles also.
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Hi, does anyone know the solution to this question?
Answers
Hello, in this question we will use the "Sinus Theorem".
The general formula of the Sine Theorem is as follows;
[tex]A=\frac{1}{2}.a.b.sin(C)[/tex]We are given the length of the two sides and the sine value of the angle of the unknown side. We also know the area of the triangle. Let's substitute the required values in this formula to get the result.
[tex]A=\frac{1}{2} (x+2)(2x-3)(sin45^o)[/tex][tex]4\sqrt{2}=\frac{1}{2}(x+2)(2x-3)(\frac{1}{\sqrt{2} } )[/tex][tex]16=(x+2)(2x-3)[/tex][tex]16=2x^2+x-6[/tex][tex]0=2x^2+x-22[/tex]In the last step, we are left with a quadratic equation with one unknown. To solve this equation, we need to calculate the discriminant value.
[tex]Discriminant=b^2-4ac[/tex]There are only two roots of a quadratic equation with one unknown.
[tex]x_{1}=\frac{-b-\sqrt{Discriminant} }{2a}[/tex][tex]x_{2}=\frac{-b+\sqrt{Discriminant} }{2a}[/tex]Thus our x values;
[tex]x_{1}=\frac{-1-\sqrt{177} }{4}[/tex][tex]x_{2}=\frac{-1+\sqrt{177} }{4}[/tex]We cannot accept the first root [tex]x_1[/tex]. Because length cannot be a negative value.
Ans = [tex]x_{2}=\frac{-1+\sqrt{177} }{4}=3.076[/tex]
HELPPPP
Which of the following formulas can be used to determine the measure of the angle of rotation for a regular polygon with n sides?
Answers
Answer: [tex]m=\frac{360^{\circ}}{n}[/tex]
Step-by-step explanation:
This is a standard result.
The second option is the segment addition postulate.
The third option is the sum of the angles of a polygon with n sides.
The fourth option is the measure of each interior angle of a regular polygon with n sides.
The fifth option is the angle addition postulate.
?????????? Image attached!
I will gladly take your help!
Answers
Answer:
-1/2; take both points which equals to -1/2
Step-by-step explanation:
Hannah is solving 42×19. Hannah says, “That’s easy! I can just break up the numbers and do 40×10=400 and 2×9=18.” Is Hannah correct? In the space below, show or explain why he’s correct or incorrect.
Answers
No, Hannah is incorrect.
We are given the expression 42*19.
Hannah got the solution by multiplying 40*10 and 2*9 and then adding the values.
This can be done by using distributive property, which is given by:-
(a + b)(c + d) = ac + ad + bc + bd
We can write,
42*19 = (40 + 2)(10 + 9) = 40*10 + 40*9 + 2*10 + 2*9
Hence, the answer is not just 40*10 + 2*9 but 40*10 + 40*9 + 2*10 + 2*9.
Hannah did not add the remaining 40*9 + 2*10 to calculate the answer.
That is why Hannah was incorrect.
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If 6 is an element in the domain of
f(x)=8–2x, what is its corresponding element
in the range
Answers
The corresponding element in the range when 6 is an element in the domain is f(6) = -4.
What are a function's domain and range?A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.Given function f(x) = 8–2x.
6 is an element in the domain of this function.
To find the corresponding element in the range of the function,
Substitute x = 6 in the given function f(x).
So,
f(6) = 8 - 2(6)
f(6) = 8 -12
f(6) = -4
Hence, the corresponding element in the range when 6 is an element in the domain is -4.
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Solve for a, b, and c
Answers
Applying the law of indeces for the fraction with radicals, the value of A=3, b=14 and c=-5
What are radicals?In mathematics, the term radical expressions such that contain a square root. In this question, we have fractions at both sides of the equation with radicals.
To solve this question, let's see some laws below that will help us:
[tex] \sqrt[x]{a} = {a}^{ \frac{1}{x} } [/tex]
[tex] \frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y} [/tex]
[tex] \frac{1}{ {a}^{x} } = {a}^{ - x} [/tex]
From the given equation; the left hand side will be simplified as follows;
[3^(1/7)]÷[3^(1/2)]=[3^[(2-7)/14]=3^(-5/14)
And the right hand side will be simplified as follows;
1÷[A^(c/b)]=A^-(c/b)
Hence, by comparing both sides of the equation after simplifying the fractional radicals, the value of A is 3, b is 14 and c is -5.
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find the slope of m and choose the correct letter
Answers
We can use the given points to find the slope
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{63_{}-49_{}}{_{}2009-1999_{}} \\ \\ m=\frac{14_{}}{_{}10_{}} \\ \\ m=1.4 \end{gathered}[/tex]It means that every year, there are 1.4 million MORE households with personal computers
PLS HELP ME ANWSER THIS
Answers
Answer:
y=(5/2)x-4
Step-by-step explanation:
1) You would have to find the slope by using the slope equations
(x1-x2)/(y1-y2)
(6-1)/(4-2)
Slope =5/2
2) the next is to find the y-axis
the line land on the x=0 at -4
y-axis=-4
3) plug into slope intercept form
y=mx+b
m=slope
b=y-axis
y=(5/2)x+(-4)
y=(5/2)x-4
Answer:
[tex]y=\frac{5}{2}x-4[/tex]
Step-by-step explanation:
1. we pick 2 points from a graph...one is (0,-4) and the other is (1,2)
2. we find the gradient between the two points using this equation m=[tex]\frac{y2-y1}{x2-x1}[/tex]
3. we plug the value in the equation
4. m = 5/2
5. equation of a straight line is y = mx +c
-where c is the intercept of the graph and m is the gradient
-4=5/2(0)+c
c =-4
therefore [tex]y=\frac{5}{2}x -4[/tex]
2) a truck rental company rents a moving truck one day by charging $31 plus $0.13 per mile. write a linear equation that relates the cost c, in dollars, of renting the truck to the number x of miles driven. what is the cost of renting the truck if the truck is driven 180 miles? a) c(x)
Answers
The equation is c = 31 + 0.13x and total cost on driving 180 miles is $54.4.
Firstly we will form the equation using one time charge and the product of number of miles and charge per mile. Then we will keep the value in equation to find the total cost.
Forming the equation -
c = 31 + 0.13x
Keep the value of x in formula for calculation of total cost.
c = 31 + 0.13×180
Performing multiplication on Right Hand Side of the equation
c = 31 + 23.4
Performing addition on Right Hand Side of the equation
c = $54.4
Thus, the equation for calculation of total cost is c = 31 + 0.13x and total cost is $54.4.
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a man receives extra money from two independent sources on the weekend: one a lottery which he wins 1 100 of the time; the other a friday night card game which he wins 1/3 of the time. what is the probability that he will win money from at least one of the sources this weekend?
Answers
Probability that the man wins money from at least one of the sources, a lottery and a card game, is equal to 17/50.
Probability that he wins from first source = 1/100
Probability that he doesn’t wins from first source = 99/100
Probability that he wins from second source = 1/3
Probability that he doesn’t wins from second source = 2/3
Probability that the man wins money from at least one of the sources = 1-(probability that the man wins no money from any of the sources)
[tex]=1-[(\frac{99}{100} )(\frac{2}{3} )] =1-(\frac{33}{50} )=\frac{17}{50}[/tex]
So, the required probability of winning the money by the man from at least one of the sources is 17/50.
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i need help please help tysm
Answers
Answer:
(2, 3)
Step-by-step explanation:
the work is all in the pic go check it out I am so sorry if it's incorrect also have a nice day:)
Which statement about nuclear fission is correct?(1 point)
Responses
Nuclear fission takes place in the nucleus of atoms.
Nuclear fission is used to generate water at nuclear power plants.
The fuel for nuclear fission is often helium.
Nuclear fission releases small amount of energy.
Answers
Answer:
(A) Nuclear fission takes place in the nucleus of atoms
Step-by-step explanation:
I took the test!
I will give 100 points to anyone who can answer my question.
Answers
Answer:
A system of nonlinear equations is a system where at least one of the equations is not linear. Just as with systems of linear equations, a solution of a nonlinear system is an ordered pair that makes both equations true. In a nonlinear system, there may be more than one solution.
Answer:
The answers are (-10, -4) and (0, 1)
Step-by-step explanation:
The solution to a system of equations is the point where both lines intersect. In this case, all you have to do is mark the points of intersection and look at their coordinates.
Hope this helps!
I need this answered please
Answers
Answer:
$2,000
Step-by-step explanation:
Amount invested in Fund A = 6000
Profit rate of return = 5%
Amount of profit = 6000 x 5% = 6000 x 0.05 = $300
Let amount invested in Fund B be $x
Profit amount = 0.01x
Total amount invested is 6000 + x
Total profit in $ = 300 + 0.01x
Total profit in percentage = Total Profit/Total investment x 100
= 4 %
So Total Profit/Total investment = 4/ 100 = 0.04
= (300 + 0.01x) / (6000 + x) = 0.04
Multiply both sides by (6000 + x)
=> 300 + 0.01x = 0.04(6000 + x)
=> 300 + 0.01x = 240 + 0.04x
==> 300 - 240 = 0.04x - 0.01x
=> 60 = 0.03x
x = 60/0.03
x = $2,000
Amount invested in Fund B = $2,000
Step-by-step explanation:
Fund A
$6000 returned a 5% profit. that means it had at the end 105% of the original investment
the formally correct way
100% = 6000
1% = 100%/100 = 6000/100 = $60
5% = 1%×5 = 60×5 = $300
in short, if we knew what we are doing, we could have simply calculated 6000 × 0.05 = $300.
and by the way, 6000 × 1.05 = $6300. which is the current balance of the account (investment plus the returned profit). but we don't need this here. this is just FYI.
Fund B
x returned 1% profit.
Fund A + Fund B
6000 + x returned 4% profit.
so, we have
6000×0.05 + x×0.01 = (6000 + x)×0.04
300 + 0.01x = 240 + 0.04x
60 + 0.01x = 0.04x
60 = 0.03x
x = 60/0.03 = $2000
so, he invested $2000 into fund B.