The number of large boxes of porridge that William bought, using a system of equations, was of:
8.
What is a system of equations?A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable in the context of the problem.
For this problem, the variables are defined as follows:
Variable x: number of small boxes bought.Variable y: number of large boxes bought.William buys 5 small boxes of oat porridge, hence:
x = 5.
The total weight of his purchase is of 6825 grams, hence, considering the weight of each box, the following equation is built:
325x + 650y = 6825.
It is already stated on the problem that x = 5, hence the value of y can be obtained as follows:
325(5) + 650y = 6825.
y = (6825 - 325(5))/650
y = 8 large boxes.
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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The time taken to reach the maximum height is 1.25 seconds and the maximum height is 32 feet
The function is given that
h(t) = + 40t + 7
Where h is the height
t is the time taken
We know
[tex]-16t^2[/tex] + bx + c = 0
Compare the equations
a = -16
b = 40
c = 7
Compare both the equation
Time taken to reach maximum height = - b/2a
= - 40/2(-16)
= - 40/-32
= 5/4
= 1.25 seconds
Time taken to reach maximum height is t = 1.25 seconds
Substitute the value of t in the function to find the maximum height
h(1.25) = -16× + 40(1.25) + 7
= -25 + 50 + 7
= 32 feet
Hence, the time taken to reach the maximum height is 1.25 seconds and the maximum height is 32 feet
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What is the m (See image)
From the given figure, m∠AEB = (3x + 54)° and m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.
As given in the question,
For the given figure,
Two lines AC and BD intersect each other at point E.
Measure of angles in the form of x is given as :
m∠AEB = (3x + 54)°
m∠DEC = (7x -30)°
∠AEB and ∠DEC are vertically opposite angles.
⇒m∠AEB = m∠DEC
⇒ (3x + 54)°= (7x -30)°
⇒ 7x - 3x = ( 54 + 30 )°
⇒ 4x = 84°
⇒ x = 21°
Hence,
m∠AEB = (3x + 54)°
⇒m∠AEB = (3(21) + 54)°
⇒m∠AEB = 117°
Therefore, from the given figure m∠AEB = (3x + 54)° and
m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.
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if an audit company picks a bank at random for audit what is the probability that a bank (a) is guilty of fraud? (b) is guilty of fraud given it is a private bank? probability problem
The probability of the randomly selected bank being a) guilty of fraud is 0.1 and b) guilty of fraud, it is given it is a private bank is 0.15
Here
let A be the event of the Bank being a fraud
Let B be the event of the bank being private
Here we see that 100 banks have been sampled.
a)
Probability = no. of favorable outcomes/total no. of outcomes
Here we see that under the row of Bank Fraud and Yes section there are
6 + 4
= 10 banks.
Hence,
n(A) = 10
n = 100
Therefore,
P(A) = 10/100
= 0.1
b)
The conditional Probability
P(X|Y) = P(X ∩ Y) / P(Y)
Here,
we need to find the bank is a fraud given that it is a private bank. Hence we need to find,
P(A|B)
= P(A ∩ B) / P(B)
Here we see that the private banks that are fraud are given to be 6.
Hence,
n(A ∩ B) = 6
Therefore,
P(A ∩ B) = 6/100
n(B) = 6 + 34 = 40
P(B) = 40/100
Hence P(A|B) = (6/100) / (40/100
= 6/40
= 3/20
= 0.15
Complete Question
(Information attached as an image)
if an audit company picks a bank at random for audit what is the probability that a bank
(a) is guilty of fraud?
(b) is guilty of fraud given it is a private bank?
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Triangles UVW and VUX are congruent identifier common sides are angles.
Answer:
Common side: UV
Step-by-step explanation:
SKIING Gavin is working on an animated film about skiing. The figure shows a ski slope, represented by AB, and one of the chairs on the lift, represented by point C
Answer:
The value of x=35 and the co-ordinates at the top of the chair lift are (35,20).
What are co-ordinates?
Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).Step-by-step explanation:
Given:
20 = 1/2x + 5/2
20 * 2 = x + 5
40 = x + 5
x = 35
Therefore, the co-ordinates of the chair at the top of the chair lift are (35,20)
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What is an equation of the line that passes through the points (-4, -3) and (8, 6)?
Answer: [tex]y=\frac{3}{4} x[/tex]
Step-by-step explanation:
We will create a point-slope equation to solve.
First, we need to find the slope.
[tex]\displaystyle \frac{y_2-y_1}{x_2-x_1}= \frac{6--3}{8--4} =\frac{9}{12} =\frac{3}{4}[/tex]
Next, we will create our point-slope equation.
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
[tex]\displaystyle y--3=\frac{3}{4} (x--4)[/tex]
[tex]\displaystyle y+3=\frac{3}{4} (x+4)[/tex]
[tex]\displaystyle y=\frac{3}{4} x+3 -3[/tex]
[tex]\displaystyle y=\frac{3}{4} x[/tex]
Which of the following best describes the ordered pairs listed below? (-2, -1), (1, -4), (5, -8), (9, -12) A. function only B. both a relation and a function C. relation only D. neither a relation nor a function
Since each input is mapped to only one output, the best description of the ordered pairs is given by:
B. both a relation and a function.
When does a relation represents a function?
A relation represents a function if each value of the input is mapped to only one value of the output.
For a point in the format (x, y), we have that:
=> x is the input.
=> y is the output.
=> The meaning is that the input x is mapped to the output y.
For this problem, the points are given as follows:
(-2, -1), (1, -4), (5, -8), (9, -12)
Each input is mapped to only one input, that is, there are no repeated values of x, hence the best description of the ordered pairs is given by:
B. both a relation and a function.
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Please help, what is the common side of the triangles ABC and DCB?
BC is the common side of both the triangles.
Answer:
BC
Step-by-step explanation:
Common side in both triangles is BC
Sides of ΔABC,
AB ; BC and AC
Sides of ΔDCB,
DC, BC and DB
homer simpson is interested in studying the ratio of the various colors of sprinkles on lard lad donuts. to conduct his study, homer purchases three of each variety of donut they make and counts the sprinkles on them. what method did homer use to select his sample?
Stratified random sampling was the technique employed by Homer to choose his sample.
Given case;
Homer Simpson is fascinated with the proportion of the different sprinkled colors on lard lad doughnuts. Homer buys three of each type of donut they produce and counts the sprinkles on them to perform his research.
The method did homer use to select his sample is stratified random sampling. Because each variety is a stratum.
From there 3 3 samples are collected.
Stratified random sampling:
A crucial aspect of the sampling strategy known as stratified random sampling is the stratification of a population into smaller subgroups known as strata. During stratified random sampling, the strata are created based on the shared traits or features of the participants, such as level of education or income. Numerous uses and advantages of stratified random sampling include examining life expectancy and population demography.
The terms proportionate random sampling and quota random sampling are also used to describe stratified random sampling.
The method did homer use to select his sample is stratified random sampling.
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Rotate the yellow dot to a location of two pi radians. After you rotate the angle, determine the value of cos 2pi, to the nearest hundredth.
Answer:
Step-by-step explanation:
write a congruence statement for the pair of triangles
The concurrency statement for the given triangles is that (D) △RGB ≅ △DCS under ASA condition.
What is the congruency of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.If two triangles satisfy one of the following conditions, they are congruent: The three corresponding side pairings are all equal. The comparable angles between two pairs of corresponding sides are equal. The corresponding sides between two pairs of corresponding angles are equal.So, the congruence statement of the given 2 triangles is as follows:
△RGB ≅ △DCS
∠G = ∠CGB = CS∠B = ∠SHence, △RGB ≅ △DCS under ASA condition.
Therefore, the concurrency statement for the given triangles is that (D) △RGB ≅ △DCS under ASA condition.
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Given that D( x ) = 2 x , select all of the following that are true statements. D( x ) is a direct variation. D( x ) is a function. D( x ) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). x is the dependent variable. D(6) = 3 1 Attempts Remain
D( x ) function and also a rule for the set of points (5, 10), (6, 12), and (-2, -4). Both the statment is true.
Given that,
Among the options which statment best represents the expression D(x) = 2x is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
D(x) = 2x
As from the observation D(x) is a function of the independent variable x.
Also,
At x = 5, 6, -2
D(x) = 10, 12, -4
So it is also a rule for the set of points (5, 10), (6, 12), and (-2, -4).
Thus, the D( x ) function and also a rule for the set of points (5, 10), (6, 12), and (-2, -4). Both the statment is true.
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solve the question
4+4=
8+8=
Answer:1. 8
2. 16
Step-by-step explanation:
720 divided by 50 gives the same answer as x divided by 100
what is the value of X
Answer:
Value of x is 1440
Step-by-step explanation:
According to the question,
720 ÷ 50 gives same answer as x ÷ 100
[tex] \therefore[/tex]
[tex] \rm \implies \dfrac{720}{50} = \dfrac{x}{100} \\ \\ \rm \implies x = \frac{720}{50} \times 100 \\ \\ \rm \implies x = 720 \times 2 \\ \\ \rm \implies x = 1440[/tex]
24m/s into mph. If your answer is a decimal, give it to 1 d.p
24 meters per second = 53.6865 miles per hour
53.6865 to 1 d.p = 53.7
Answer: 53.7
There are 11,357 pets in a town that has a population of 47,500. What is the number of pets per capita?
Round your answer to 2 decimal places.
The number of pets per capita is 0.24
Given,
Number of pets in a town = 11,357
Population of the town = 47,500
We have to find the number of pets per capita;
Per capita;-
The Latin phrase "per capita" means "by head." It is used to calculate the average for each individual in a certain measurement. Per capita is frequently used, for instance, to calculate a population's per capita gross domestic product (GDP).
Here,
Number of pets per capita = Number of pets / Population
Number of pets per capita = 11,357 / 47,500
Number of pets per capita = 0.24
That is,
The number of pets per capita is 0.24
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Can someone please help me?
The curriculum runs from Mon 27/7/2020 to Fri 27/11/2020, work out how many full weeks this is by using a calendar.
a) Number of weeks:
b) Convert the number of weeks to fortnights:
You work on your studies 3 days of the week
a) What is the total number of days that you study using the number of weeks you calculated earlier and 3 days a week
b) If you work 2 hours a day what would the total number of hours be over the course?
Using proportions, the amounts are given as follows:
a) Number of weeks: 17.
b) Number of fortnights: 8.5.
a) Number of days studied: 51.
b) Number of hours studied: 102.
What is a proportion?A proportion is a fraction of a total amount, and this fraction is used to build relations, using basic arithmetic operations such as multiplication or division, to obtain the desired measures in the context of a problem.
Using a calendar, the number of weeks between these two dates is of:
17.
A fortnight is composed by two weeks, hence the number of fortnights is:
17/2 = 8.5.
You studied 3 days a week, hence the number of days studying was of:
17 x 3 = 51 days.
You studied 2 hours a hence, hence the number of hours studying was of:
51 x 2 = 102 hours.
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Will mark brainliest!
Determine the quadratic function of the form f(x)= a(x - h)² + k whose graph is given on the
right.
By using the vertex and the given point, we will see that the graphed quadratic equation is:
y = -(x - 2)^2 + 4
How to find the equation for the quadratic equation?A quadratic equation with a leading coefficient a and a vertex (h, k) can be written as:
y = a*(x - h)^2 + k
Here the vertex is (2, 4), replacing that we get:
y = a*(x - 2)^2 + 4
Now we also can see that the line passes through the point (0, -8), replacing these values we get:
-8 = a*(0 - 2)^2 - 4
-8 = 4a - 4
-8 + 4 = 4a
-4 = 4a
-4/4 = a
-1 = a
The quadratic equation is:
y = -(x - 2)^2 + 4
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a box has a width of 15 inches and a length of 16 inches. the volume of the box is increasing at a rate of 569 cubic inches per second, with the width and length being held constant. what is the rate of change, in inches per second, of the height when the height is 6 inches?
The rate of change in height when height is 6 inches is 2.37 inches per second approximately.
We know that the volume of cube with length L, width W and height H is given by,
V = L*B*H
So given that the length is 15 inches
the width is 16 inches
Let the height be h inches.
So now the volume is given by,
V = 15*16*h
Differentiating the volume with respect to time 't' we get,
dV/dt = 15*16 dh/dt
Now given that the rate of change in volume per second is 569 cubic inches.
So, dV/dt = 569
So, 15*16 dh/dt = 569
dh/dt = 569/(15*16) = 569/240 = 2.37 (approx)
So the rate of change in height is 2.37 inches approximately.
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help meeeeeeeeeeeeeeeeee please
Answer:
x= 3.4
x+2= 5.4
x+3= 6.4
Step-by-step explanation:
Just figured it out :)
A 2-pint carton of non-dairy creamer costs $3.36. What is the price per cup?
Answer:
$6.72
Step-by-step explanation:
1 us liquid pint =2 us cups
3.36*2 cups
what is 10x - 5 = 105
Answer:
x =11
Step-by-step explanation:
report this so that girl in the comments can give you an answer
Answer: -50
Step-by-step explanation:
A dam has a floodgate. When it is open, it lets out 10,000 gallons of water per minute.
How many gallons of water will it let out in 10 minutes?
A. 1,000
B. 10,000
C. 100,000
D. 1,000,000
Answer: C. 100,000 gallons
Step-by-step explanation:
10,000 gallons a minute.
10 minutes.
10,000 x 10 = 100,000.
Gallons: 10,000 20,000 30,000 40,000 50,000 60,000
Minutes: 1 2 3 4 5 6
... 70,000 80,000 90,000 100,000
... 7 8 9 10
A sphere has a diameter of 24 mm.
What is the volume of the sphere?
O 487 mm³
O 1927 mm³
O 23047 mm³
O I don't know.
The volume of the sphere is 7241.142 m[tex]m^{3}[/tex].
Given:
A sphere has a diameter of 24 mm.
Radius r = diameter/2
= 24/2
r = 12 mm.
volume of sphere = 4/3π[tex]r^{3}[/tex]
= 4/3 * 22/7 * [tex]12^{3}[/tex]
= 88*[tex]12^{3}[/tex]/21
= 88*1728/21
= 152064/21
= 7241.142 m[tex]m^{3}[/tex].
Therefore the volume of the sphere is 7241.142 m[tex]m^{3}[/tex].
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Write a function that describes the area of the water puddle on the floor as a function of its radius. Use function notation
The formula that plots the radius against the area of such water puddle here on floor; A = πr².
Describe the term surface area?The area is the area occupied by just a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space occupied by its outer surface. A three-dimensional structure with parallel circular bases is characterized as a TA cylinder. There are no vertices on it. Area of three-dimensional shapes mainly refers to surface area.For the given question,
Let the area of the water puddle on the floor be 'A'.
Let the radius of the water puddle be 'r'.
Then, using the area of the circle,
The function for the area of the water puddle be,
A = πr²
Thus, the formula that plots the radius against the area of such water puddle here on floor; A = πr².
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a small airline runs commuter flights with a plane that holds 10 people. each ticket-holder has a 10% chance of not showing up, so the airline sells 12 tickets for each flight. which is an appropriate plan for a simulation that uses a table of random digits to estimate the probability that exactly ten people show up for the flight?
The probability that exactly 10 people will show up is 0.230
Let X measure the number of people (out of 12) who show up for a flight. For each passenger
we have a 90% chance of showing up, so X is a binomial random variable with n = 12 and p = 0.90.
(b) Everyone gets a seat when X ≤ 10. We have to find the probability when exactly 10 people show up for the flight , so we use the binomial probability for P(10)
∴ P(10) = [tex]C^{n} _{x} p^{x}(1-p)^{n-x}[/tex]
P(10) = 0.230
So , the probability that exactly 10 people show up for the flight is 0.230 .
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Write a linear function f with f(-10) = 4.5 and f(-2)=4.5.
Answer:
plsssssssssssssssssssssssssssssssssss
can someone solve this?
Find the values of the variables and the measures of the angles.
Answer:
x = 52°
y = 25°
z = 90°
Step-by-step explanation:
We know there are 180 degrees in a triangle. The box represents 90 degrees.
90° + x + 38° = 180°
x + 128° = 180°
x = 52°
Next, we know that a straight line is equal to 180 degrees. Again, the box represents 90 degrees.
90° + z = 180°
z = 90°
Lastly, we will use the same process for angle x, but for angle y.
y + z + 65° = 180°
y + 90° + 65° = 180°
y + 155° = 180°
y = 25°
In the figure, m<7=100 degrees. Find the measure of each angle.
22.) <6
23.) <8
24.) <2
25.) <5
26.) <11
The corresponding measure of each angle is 80, 80, 80, 100 and 100 degrees
How to determine the measure of each angle?
Given: m<7=100 degrees
To find <6, <8, <2, <5 and <11
In the <7 is vertically opposite <5. Since vertically opposite angles are equal.
Thus, <5 = <7 = 100 degrees
Also, <5 and <6 are angles on a straight, and the sum of angles on a straight line is 180 degrees. Thus:
<5 + <6 = 180
100 + <6 = 180
<6 = 180 -100 = 80 degrees
Also, <6 and <8 are vertically opposite.
Thus, <8 = <6 = 80 degrees
<2 and <6 are corresponding angles, and corresponding angles are equal. Thus, <2 = <6 = 80 degrees
Likewise, <11 and <7 are corresponding angles
Thus, <11 = <7 = 100 degrees
Therefore, the measure of angle <6, <8, <2, <5 and <11 are 80, 80, 80, 100 and 100 degrees respectively
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A lines Y intercept is changed from -1 to 0 which way did it shift
By studying the change of the y-intercept, we can see that the shift is of one unit upwards.
In which way did the line shift?
We know that the original y-intercept of the line is y = -1, then the line is of the form:
y = a*x - 1
Where a is the slope.
Now we apply a vertical shift of N units, this is written as:
y = a*x - 1 + N
And we know that the new y-intercept is 0, so:
y = a*0 - 1 + N = 0
y = -1 + N = 0
-1 + N = 0
N = 1
The shift is of 1 unit up.
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