[tex]14-a=19-12\\14-a=7\\a=14-7\\a=7[/tex]
Answer:
7
Step-by-step explanation:
14-a=19-12
14-a=7
14-7=a
7=a
Combine like terms
A school show had ticket sales of $1345 the first night and $935 the second night. 180 student tickets were sold and 110 adult tickets were sold on the first night. 100 student tickets were sold and 90 adult tickets were sold. find the price of a student ticket
Using a system of equations, it is found that the price of a student ticket is of $3.49.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The variables are given as follows:
Variable x: Price of a student ticket.Variable y: Price of an adult ticket.Considering the revenues and the number of tickets sold, the equations are given as follows:
180x + 110y = 1345.100x + 90y = 935.From the second equation:
90y = 935 - 100x
y = (935 - 100x)/90
y = 10.39 - 1.11x
Replacing in the first equation:
180x + 110y = 1345.
180x + 110(10.39 - 1.11x) = 1345
57.9x = 202.1.
x = 202.1/57.9
x = 3.49.
The price of a student ticket is of $3.49.
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In parallelogram ABCD , BE=7x−2 and ED=x2−10 .
I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.
7x-2=x²-10x²-7x-8=0(x-8)(x+1)=0x = -1, 8As distance must be positive, we reject the negative case, so x=8.
Thus, BE=ED=54.
Using your answer from the previous question, state the value of 't' if Josephine is going to run a dis-
tance of 15 miles at a rate of 5 miles per hour.
Previous answer t=d/r
Using the relation between velocity, distance and time, it is found that t = 3 hours.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
For this problem, the parameters are given as follows:
d = 15 miles, v = 5 mph
Hence the time in hours is found as follows:
[tex]v = \frac{d}{t}[/tex]
[tex]5 = \frac{15}{t}[/tex]
5t = 15
t = 15/5
t = 3 hours.
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Contamination is a problem in the manufacture of optical storage disks. The number of particles of contamination that occur on an optical disk has a Poisson distribution, and the average number of particles per square centimeter of media surface is 0.1. The area of a disk under study is 100 cm2. Find the probability more than 12 particles occur in the area of a disk under study.
The probability that more than 12 particles occur in the area of a disk under the study is 0.20844.
The number of particles follows a Poisson Distribution.
A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as [tex]P(X = x) = e^{-\lambda} \frac{\lambda^{x}}{x!}[/tex] .
In the question, x = 12.
λ = 100*0.1 = 10.
To find : P(X > 12)
P(X > 12) = 1 - P(X ≤ 12) = 1 - poissoncdf(10,12)
As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).
Therefore, P(X > 12) = 1 - 0.79156 = 0.20844.
Therefore, the probability that more than 12 particles occur in the area of a disk under the study is 0.20844.
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For a biology experiment, students labeled the plants in a greenhouse in order to track their heights over the next few weeks. The greenhouse contained ROSES labeled 1, 2, 3, 4, 5, 6, LILIES labeled 1, 2, 3, 4, 5, and VIOLETS labeled 1, 2, 3, 4. If a single flower is picked at random, what is the probability that the flower is NOT A ROSE?
Using it's concept, it is found that there is a 0.6 = 60% probability that the flower is NOT A ROSE.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 6 + 5 + 4 = 15 flowers, out of which 5 + 4 = 9 are not roses, hence the probability is given by:
p = 9/15 = 0.6 = 60%.
0.6 = 60% probability that the flower is NOT A ROSE.
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A rectangular pyramid has a height of 6 units and a volume of 40 units3. Shannon states that a rectangular prism with the same base area and height has a volume that is three times the size of the given rectangular pyramid. Which statement explains whether Shannon is correct?
A rectangular prism in which BA = 20 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.
A rectangular prism in which BA = 6.67 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.
A rectangular prism in which BA = 6.67 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.
Answer:
The first statement is true so Shannon is incorrect.
Step-by-step explanation:
Volume of the pyramid with base 20 and h = 6
= 1/3 * base area * height
= 1/3 * 20 * 6
= 40 unit^3.
Jackson took 8 fewer pictures on Saturday than he did on Friday. If he took 11 pictures on Friday, how many pictures did he take on Saturday?
Friday =11
Saturday =?
But, we know that the pictures he took on Saturday are eight times fewer than those he took on Friday.
Saturday = 11-8
= 3
∴ He took 3 pictures on Saturday.
Hope this helps >3
if l and m are parallel,which pair of angles are supplementary?
Answer:
Option (1)
Step-by-step explanation:
Angles 2 and 5 are supplementary by the same-side interior angles theorem.
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
Answer:8.8 pounds a day
Step-by-step explanation:
7 days in a week
28/7=4 kg a day
2.2*4=8.8
8.8 pounds
URGENT!
Select the correct reason for each statement.
Step-by-step explanation:
if you have any doubts or queries regarding the answer please feel free to ask
Question 1 of 5
Select the correct answer.
Which expression is equivalent to 6√z ÷ 3√8z, if z> 0?
36/2
O 3
33/z
3√22
Submit
The expression that is equivalent to the given expression is [tex]3\sqrt[6]{z}[/tex]
Simplifying an expressionFrom the question, we are to determine which of the expressions is equivalent to the given expression
The given expression is
[tex]6\sqrt{z} \div \sqrt[3]{8z}[/tex]
The expression can be simplified as
[tex]6\sqrt{z} \div \sqrt[3]{8z}[/tex]
[tex]\frac{6\sqrt{z}}{\sqrt[3]{8z}}[/tex]
[tex]= \frac{6 \times \sqrt{z}}{\sqrt[3]{8} \times \sqrt[3]{z}}[/tex]
[tex]= \frac{6 \times z^{\frac{1}{2} } }{2 \times z^{\frac{1}{3} }}[/tex]
[tex]= 3\times z^{\frac{1}{2} -\frac{1}{3}}[/tex]
[tex]= 3\times z^{\frac{1}{6}}[/tex]
[tex]= 3\times\sqrt[6]{z}[/tex]
[tex]= 3\sqrt[6]{z}[/tex]
Hence, the expression that is equivalent to the given expression is [tex]3\sqrt[6]{z}[/tex]
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Find the gradient of the line shown.
Answer:it is o to 10/5 which is 1/
Step-by-step explanation:
Who wants to solve a question
70 packages can be filled from a jar that contains 7/8pounds of the leaves
Ratio and proportionsFractions are written as a ratio of two integers. If each bad contains 1/80 pound peppermint leaves, then;
1/80pounds = 1 package
To determine the total package for 7/8 pounds of leaves
7/8 pounds = x
Take the ratios
1/80 * 8/7 = 1/x
8/560 = 1/x
x = 560/8
x = 70
70 packages can be filled from a jar that contains 7/8pounds of the leaves
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Please help!!!!
A triangular patch of grass in a park is bordered by walking paths. The longest path bordering the patch of grass measures 135 feet. The smallest path bordering the patch of grass measures 60 feet. The smallest angle formed by the paths measures 26°. What is the measure of the largest angle of the triangular patch of grass? Round your answer to the nearest degree. Show all your work.
The measure of the largest angle of the triangular patch of grass is 81 degrees
Application of sine ruleIn order to determine the measure of the largest angle, we will use the expression below;
[tex]\frac{60}{sin26^0} =\frac{135}{sinx^0}[/tex]
Cross multiply
135sin26 = 60sinx
sinx = 135sin26/60
sinx = 59.18/60
sinx = 0.986
x = 80.5 degrees
Hence the measure of the largest angle of the triangular patch of grass is 81 degrees
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2x²-5x-12=0 (simplify solution set)
Answer:
x = 4 or x = -3/2
Step-by-step explanation:
To simplify and solve this, let's use the quadratic formula.
So the format of a quadratic equation is supposed look like this:
[tex]ax^2+bx+c=0[/tex]
Let's find a, b, c:
a is the coefficient of x^2b is the coefficient of xc is the constant termNow let's solve the equation.
Let's solve your equation step-by-step.
2x^2−5x−12=0
For this equation: a=2, b=-5, c=-12
2x^2+−5x+−12=0
Step 1: Use quadratic formula with a=2, b=-5, c=-12.
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-12)} }{2(2)}[/tex]
[tex]x=\frac{5\pm\sqrt{121} }{4}[/tex]
[tex]x=4[/tex] or [tex]x=\frac{-3}{2}[/tex]
Answer:
x = 4 or x = -3/2
Which values of a and b make the following equation true?
(5x7y²)(-4x²y5)--20xy
a=11, b = 7
a = 11, b = 10
a=28, b = 7
a=28, b= 10
Answer:
A. is correct answer
Step-by-step explanation:
full explanation
Which rule describes the composition of transformations that maps δjkl to δj"k"l"? 90 degree rotation about point 0 composition translation of 0 units x, negative 2 units y translation of 0 units x, negative 2 units y composition 90 degree rotation about point 0 90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y translation of negative 2 units x, 0 units y composition 90 degree rotation about point 0
Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"
What is transformation?
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"
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Answer:
Its actually DStep-by-step explanation:
A jacket is on sale for 70% of the original price.if the discount saves $140,what was the original price of the jacket
Answer:
$200
Step-by-step explanation:
Consider the original price be x
As per the question
⇒x×70%=140Solving the equation yields:
⇒0.7x=140⇒0.7x/0.7=140/0.7⇒x=1400/7⇒x=200In conclusion
the original price of the jacket was $200
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3
Help me please
Answer:
y-2=1/3(x-3)
Step-by-step explanation:
please mark me as brainlest
Answer: y-2=1/3(x-3), which is Choice [B]
Step-by-step explanation:
Hii, do you need to know the answer to your question? No problem! (:
First, do you remember what the "point-slope" formula is? It's
y-y1=m(x-x1)
Now it's just a matter of sticking in the known values.
y-2=1/3(x-3)
Voila! There's our solution, cheers! (:
--
Hope that this helped! Best wishes.
[tex]\bigstar\underbrace[/tex]
A carton of one dozen eggs costs $1.92. What is the unit price of each egg?
Answer:
$0.16
Step-by-step explanation:
unit price = price of carton / number of eggs
unit price = $1.92/12
unit price = $0.16
Which of the following appear in the diagram below?
Answer:
Step-by-step explanation:
Comment
The one you can pick out that is true is D. The others you have to be careful with. C is a line and it has two arrowheads in the symbol above the two letters which makes it correct as well. A is not correctly marked, so it is not there the way it is marked. One would think ZX is a ray the way it is marked.
Answer: C and D
Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T.
Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l?
Lines m and n intersect at point Q. A circle is drawn around point Q and forms point S on line m and forms point N on line l. Point P is also on line m. A circle is drawn around point P and forms point T on line m.
Use the compass to construct a circle centered at Q through point P.
Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q.
Use the compass to construct a circle centered at P through point Q.
Mark this and return
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. The correct option is C.
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2 , thus its slope is 2 and thus, the slope of the needed line is 2 too.
The next step that Gerald should take is Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Hence, the correct option is C.
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Donte simplified the expression below. 4 (1 3 i) minus (8 minus 5 i). 4 3 i minus 8 5 i. negative 4 8 i. what mistake did donte make? he did not apply the distributive property correctly for 4(1 3i). he did not distribute the subtraction sign correctly for 8 – 5i. he added the real number and coefficient of i in 4(1 3i). he added the two complex numbers instead of subtracted.
Donte did a mistake that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an expression:
= 4(1 + 3i) – (8 – 5i)
= 4 + 12i - 8 + 5i
He did not distribute the subtraction sign correctly for 8 – 5i.
= -4 + 17i
Thus, Donte did a mistake in that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.
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Answer:
(A) is correct.
Step-by-step explanation:
find the surface area of the pyramid
Answer:
145
Step-by-step explanation:
mutiply each 6 and 7 twice and add 7x7 from the bottom
Identify the conclusion of the conditional statement:
If an animal is a fish, then it lives in the water.
Answer:
Conclusion : it lives in the water
Step-by-step explanation:
Concept :The conclusion of a conditional statement is the result of the hypothesis. The “then” part of an if-then statement is called the conclusion.
therefore, for the given statement,
the 'then' part is 'it lives in the water'
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Can you please help me
Answer:
1/3
Step-by-step explanation:
DE/AB = EF/BC = FD/CA
15/45 = 9/27 = 8/24 = 1/3
hope this will help u
Which inequality defines the shaded region graphed below?
Answer:
Every ordered pair within this region will satisfy the inequality y ≥ x. Incorrect. The boundary line here is y = x, and the correct region is shaded, but remember that a dotted line is used for < and >. The inequality you are graphing is y ≥ x, so the boundary line should be solid.
What is the scale factor of a drawing if the scale is 1 inch equals 4 feet
Answer:
the scale factor of a drawing=1:4
State whether the following physical quantities are scalars or vectors: a. Pressure. b. Electric current. c. Conductivity. d. Electric conductance. e. Frequency. f. Heat capacity. g. Impedance. h. Power. i. Torque. j. Latent heat
This is further maths questions
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \large Scaler : [/tex]
Pressure Electric current Conductivity Electric Conductance Frequency Heat capacity PowerLatent heat[tex]\qquad \tt \large Vector : [/tex]
ImpedanceTorque____________________________________
[tex] \large \tt Explanation \: : [/tex]
[tex] \textsf{Scaler quantity : } [/tex]
Those quantities that can be expressed simply by its magnitude [numeric value and unit] are known as Scaler quantities.
Operations on Scaler quantities can be done by simple algebraic rules.
Eg. Pressure, Electric current, Conductivity, Electric Conductance, frequency, heat capacity, power, latent heat, etc
[tex] \textsf{Vector quantity } [/tex]
Those quantities that need magnitude and direction to define express itself and follows Vector law of addition are known as Vector quantities.
Vector algebra is used for operations on vector quantities.
Eg. Impedance, Torque, etc
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
find the magnitude of each of the following vectors 4i-8j
Answer:
magnitude of a shown vector is
[tex]4 \sqrt{5} [/tex]