The value of the expression is -5/6.
What is PEMDAS?The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.
Given:
An expression,
7/5 × 1/3 + 3/5 × (- 2/9) + 7/5 × (- 5/6).
Solving further with the help of PEMDAS,
7/5 × 1/3 + 3/5 × (- 2/9) + 7/5 × (- 5/6)
= 7/15 - 6/45 - 35/30
= (42- 12 - 105)/90
= -75/90
= -5/6
Therefore, the value is -5/6.
To learn more about the PEMDAS;
https://brainly.com/question/36185
#SPJ1
For the function f, f (0) = 86, and for each increase in x by 1, the value of f (x) decreases by 80%. What is the value of f (2)?
Answer:
55
Step-by-step explanation:
80% ^ 2 = 0.64
so f(2) = 86*0.64 = 55
what is 10% of £7.50
Answer: 0.75 :D Hope this helps
Step-by-step explanation:
histograms can be used to multiple select question. observe the spread or the variability of the data. observe individual data points. construct a pie chart. determine the shape of the data.
Histograms are commonly used to visualize the distribution of a dataset by grouping the data into bins and representing the frequency of each bin by the height of a bar.
They are useful for observing the spread or variability of the data and determining the shape of the data, such as whether it is symmetrical or skewed. They cannot be used to observe individual data points, but they provide a good visual representation of the overall pattern of the data. Histograms are not appropriate for multiple choice questions as they do not display individual data points in a clear manner. To display parts of a whole, pie charts are a better choice as they show the proportion of each category as a sector of a circle
Find out more about Histograms
brainly.com/question/24229024
#SPJ4
there are 4 teachers for every 100 students at Brians school. if there are 950 students, write and solve a proportion showing how many teachers are at the school
Step-by-step explanation:
We can set up the proportion with students on the bottom and teachers on the to
[tex] \frac{4}{100} = \frac{x}{950} [/tex]
Now we cross multiply
[tex]100x = (950)(4)[/tex]
[tex]100x = 3800[/tex]
Lastly, we will divide both sides by 100
[tex]x = 38[/tex]
Which statement is true about the number 403, 043?
A. The 3 on the left is 100 times greater than the 3 on the right.
B. The 3 on the left is 1,000 times greater than the 3 on the right.
C. The O on the left is 100 times greater than the 0 on the right.
D. The 0 on the left is 1,000 times greater than the 3 on the right.
Option A If the adage regarding the number 403, 043 is accurate, the three on the left is 100 times bigger than the three on the right.
The enlarged number 100 is what?As a result, 100 is enlarged to 100+0+0.The numerals that are used to represent numbers when they have digits or symbols can be categorized into two groups. These groups could be referred to as the arithmetic numerals (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and the geometric numerals (1, 10, 100, 1000, 10000,...), respectively.Numbers are arithmetic values that are used to represent quantities. So a number is a mathematical idea used for counting, measuring, and labeling. Mathematics is based on numbers, so to speak.Option A If the adage regarding the number 403, 043 is accurate, the three on the left is 100 times bigger than the three on the right.To learn more about number refer to:
https://brainly.com/question/17200227
#SPJ1
g- given that a part produced in the plant is defective, what is the probability that it went through an electronic inspection?
The probability that a defective part went through an electronic inspection is 0.2058 or approximately 20.58%.
In order to find the probability that a defective part went through an electronic inspection, Bayes' Theorem will be used. The theorem states that the conditional probability of event A given event B can be calculated as:
P(A | B) = P(B | A) × P(A) / P(B)
where P(A) is the prior probability of event A, P(B | A) is the conditional probability of event B given event A, and P(B) is the overall probability of event B.
In this case, event A is the part that went through an electronic inspection, and event B is the part that is defective. The prior probability of a part going through an electronic inspection is:
P(A) = 0.15, and the overall probability of a part being defective is P(B) = 0.15 × 0.97 + 0.85 × (1 - 0.15) = 0.14695.
The conditional probability of a part being defective given it went through an electronic inspection is P(B | A) = 0.03. The probability of a part that went through an electronic inspection given it's defective is:
P(A | B) = P(B | A) × P(A) / P(B) = 0.03 × 0.15 / 0.14695 = 0.2058
So, the probability that a defective part went through an electronic inspection is 0.2058 or approximately 20.58%.
Learn more about probability here: brainly.com/question/24756209
#SPJ4
Question
At a plant, 30% of all the produced parts are subject to a special electronic inspection. It is known that any produced part which was inspected electronically has no defects with probability 0.15. For a part that was not inspected electronically this probability is only 0.85. What is the probability that it went through an electronic inspection?
Bob has 60 coins consisting of quarters and dimes. The coins combined value is
$13.35. How many quarters and how many dimes does he have?
O q+d= 13.35
0.25g +0.10d = 60
Oq-d=13.35
O
0.25g +0.10d = 60
q+d=60
0.25g +0.10d = 13.35
.25g + d = 60
q+0.10d 13.35
=
Answer:
Third option
q + d = 60
0.25q + 0.10d = 13.35
Step-by-step explanation:
Given q quarters and d dimes
Total number of coins = q + d and this must equal 60
Therefore q + d = 60
Since each quarter is 25 cents(or $0.25) and each dime is 10 cents($0.10)
Total value = 0.25q + 0.10d = 13.35
Correct set of equations is the third option
how far away is the puddle from the house? angle of depression is 40 degree
Answer: 29.8 feet
Step-by-step explanation:
To solve this, the first step is to make the imaginary triangle (look at the picture below). Now, we use the basic trigonometry functions. Since we have to find tge base part of the triangle (which is the adjacent one to the angle, and we already have the opposite to the angle. So, now we know we have to use the tan ratio. We now solve it with the following method:
[tex]tan(Angle) = \frac{Opposite}{Adjacent} \\[/tex]
Now we sub in our values and use the calculator to solve it:
[tex]tan(40) = \frac{25}{x}\\\\x = \frac{25}{tan(40)} \\\\x = 29.8 (1 d.p)[/tex]
Elsa is building a fence around her garden. For every 4 feet of fencing, the cost is $2
Complete the table below showing the length of the fence and the cost.
Length of fencing (feet)
Cost ($)
Explanation
Pls help
Answer:
Step-by-step explanation:
4ft : $24 -> 1ft = $6
so 7ft = 6X7 = $42
and 6X10 = $60
What is the arc measure of major arc BAC in degrees?
Answer:
arc BAC = 276°
Step-by-step explanation:
the sum of the angles around point D is 360°
sum the central angles and equate to 360
7n + 12 + 6n + 13n - 16 = 360
26n - 4 = 360 ( add 4 to both sides )
26n = 364 ( divide both sides by 26 )
n = 14
Then
∠ ADB = 7n + 12 = 7(14) + 12 = 98 + 12 = 110°
∠ ADC = 13n - 16 = 13(14) - 16 = 182 - 16 = 166°
• the arc of a circle is equal to the central angle it subtends
arc BA = ∠ ADB = 110°
arc AC = ∠ ADC = 166°
Then
arc BAC = arc BA + arc AC = 110° + 166° = 276°
A group of 4 friends is planning a fun day trip. The
equations in the table represent the number of people n
who can participate in each activity for $29.
Activity
Raft Trip
Amusement Park
Balloon Ride
Cost ($)
6n + 5 = 29
14n = 29
30n 40 29
=
-
Which activity should the friends choose if they want
to spend exactly $29?
Answer: The friends should choose the Raft Trip if they want to spend exactly $29.
The equation for the Raft Trip is 6n + 5 = 29. Solving for n, we get n = 4. This means that 4 people can participate in the Raft Trip for $29.
The other two activities, the Amusement Park and the Balloon Ride, have equations 14n = 29 and 30n + 40 = 29, respectively. Solving these equations, we find that neither of them allow exactly 4 people to participate for $29.
Step-by-step explanation:
The activity the friends should choose if they want to spend exactly $29 is Raft Trip
Which activity should the friends choose if they want to spend exactly $29?Number of people in the group= 4
Raft Trip:
6n + 5 = 29
6(4) + 5 = 29
24 + 5 = 29
Amusement Park:
14n = 29
14(4) = 29
56 ≠ 29
Balloon Ride:
30n - 40 = 29
30(4) - 40 = 29
120 - 40 = 29
80 ≠ 29
Hence, the friends should choose raft trip it they want to spend exactly $29
Read more on equation:
https://brainly.com/question/2972832
#SPJ1
A rectangular room is 6 meters longer than it is wide, and its perimeter is 36
meters. Find the dimension of the room.
TH
L
Step-by-step explanation:
length = width + 6
the perimeter of a rectangle is
2×length + 2×width
by using the first equating as identity in the second we get
36 = 2×(width + 6) + 2×width =
= 2×width + 12 + 2×width = 4×width + 12
24 = 4×width
width = 6 m
length = width + 6 = 6 + 6 = 12 m
he dimensions of the rectangular room are 6 meters by 12 meters of the rectangular room is 6 meters longer than it is wide, and its perimeter is 36 meters by solving equations and geometric measurements.
Given that the room is 6 meters longer than it is wide, we can represent the width as W. Therefore, the length of the room would be W + 6.
The perimeter of a rectangle is calculated by adding all four sides, which in this case is given as 36 meters. We can express this as an equation:
Perimeter = 2 * (Length + Width)
Substituting the values, we get:
36 = 2 * (W + (W + 6))
Simplifying the equation further, we have:
36 = 2 * (2W + 6)
Dividing both sides of the equation by 2, we get:
18 = 2W + 6
Subtracting 6 from both sides, we obtain:
12 = 2W
Dividing both sides by 2, we find:
W = 6
Now that we have the width, we can calculate the length:
Length = Width + 6 = 6 + 6 = 12
Therefore, the dimensions of the rectangular room are 6 meters by 12 meters of the rectangular room is 6 meters longer than it is wide, and its perimeter is 36 meters by solving equations and geometric measurements.
Learn more about geometric measurements here:
https://brainly.com/question/11327599
#SPJ2
A square has an area of 64 square meters. What is the lenht of each side
Answer:
8 m
Step-by-step explanation:
All the sides of a square are equal.
let x = length of one side
A = x² = 64 m²
√x² = x = √64 = 8
A family wants to rent a car to go on vacation. Company A charges $35.50 and 9¢ per mile. Company B charges $65.50 and 13¢ per mile. How much more does Company B charge for x miles than Company A? PLEASE HELPPPP
3004¢ more does Company B charge for x miles than Company A.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
Company A charges $35.50 and 9¢ per mile.
Company B charges $65.50 and 13¢ per mile.
Also, we could convert dollars to cents by multiply it by 100
Since $1 =100 cents.
so, we get,
Company A charges $35.50 and 9¢ per mile. = 3559
Company B charges $65.50 and 13¢ per mile = 6563
difference = 6563 - 3559
= 3004
Hence, 3004¢ more does Company B charge for x miles than Company A.
To learn more on subtraction click:
brainly.com/question/2346316
#SPJ1
Find the length of the third side. If necessary, write in simplest radical form.
Answer:
8
Step-by-step explanation:
If my calculations are correct the third side is 8
what is the solution to 12(x+6)=17
Answer:
x = -55/12
Step-by-step explanation:
12(x+6) = 17
12x + 72 = 17
12x = -55
x = -55/12
please help, show your work first then choose the answer, thank you
Answer:your mom
Step-by-step explanati
Laura ha comprado una falda y una blusa por 66 euros ambas tenian el mismo precio pero en la falda le han hecho un 20% de rebaja y en la blusa solo un 15% ¿cuanto costaba cada prenda?
The cost of the skirt and blouse after the discount would be -
$52.8 and $56.1 respectively.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Laura has bought a skirt and a blouse for 66 euros, both had the same price but they have given her a 20% discount on the skirt and only 15% on the blouse.
The cost skirt would be -
${x} = 66 - {20% of 66}
${x} = 66 - {20/100 x 66}
${x} = 66 - {66/5}
${x} = 66 - 13.2
${x} = 52.8
The cost of blouse would be -
${y} = 66 - {15% of 66}
${y} = 66 - {15/100 x 66}
${y} = 66 - {3/20 x 66}
${y} = 66 - 9.9
${y} = 56.1
Therefore, the cost of the skirt and blouse after the discount would be -
$52.8 and $56.1 respectively.
To solve more questions on equation modelling, visit the link below-
https://brainly.com/question/2037734
#SPJ1
{Question in english -
Laura has bought a skirt and a blouse for 66 euros, both had the same price but they have given her a 20% discount on the skirt and only 15% on the blouse. How much did each item cost??
What is the slope of the line below?
What value of x makes the equation
3(x - 5) - 7 = 2 true?
Answer:
x=8
Step-by-step explanation:
We can first take out 3(x-5) and expand it into: (3*x) + (3*-5) = 3x-15
Now, let's plug it into the original equation:
3x-15-7 = 2
Let's solve for x:
3x = 2+15+7
3x = 24
x = 8
three vectors have equal magnitudes and make 120° with each other. we can say that
the magnitude of the resultant is [tex]\sqrt{2}[/tex] times the magnitude of each individual vector, not one-third.
No, that is incorrect. The magnitude of the resultant of three vectors having equal magnitudes and making an angle of 120 degrees with each other is not one-third the magnitude of the component vectors.
The magnitude of the resultant of three vectors depends on the angle between them, as well as their magnitudes. In general, the magnitude of the resultant of three vectors can be calculated using the law of cosines, which states that the square of the magnitude of the resultant (R^2) is equal to the sum of the squares of the magnitudes of the individual vectors ([tex]A^2, B^2, and C^2[/tex]), plus twice the product of the magnitudes of two of the vectors multiplied by the cosine of the angle between them.
For three vectors of equal magnitude (A = B = C = m), the magnitude of the resultant can be calculated as:
[tex]R^2 = 3m^2 + 2m^2 * cos(120) = 3m^2 - m^2 = 2m^2[/tex]
[tex]R = \sqrt{2} * m[/tex]
Therefore, the magnitude of the resultant is sqrt(2) times the magnitude of each individual vector, not one-third.
Learn more about vector here https://brainly.com/question/29740341
#SPJ4
Question: Three Vectors Have Equal Magnitudes And Make 120° With Each Other. We Can Say That The Magnitude Of The Resultant Is One-Third The Magnitude Of The Component Vectors. The Resultant Is Zero. The Magnitude Of The Resultant Is Equal To The Magnitude Of The Component Vectors. The Magnitude Of The Resultant Is More Than Three Times The Magnitude Of Each component Vector.
A winter sports pass at Wood Middle School costs $18. A student without a pass must pay
$1.90 for each event. How many sports events would a student have to attend to make the pass a
better deal?
A circle has a circumfrence of 75.4, what is the diameter?
The diameter of the circle is 24 units.
What is a circle:In geometry, the circle is a curved and closed polygon whose boundary line is at equidistance from a point called the center.
A diameter is a line drawn through the circle's center and joining two points on its circumference. The diameter of a circle is twice its radius
The circumference of a circle is known as the circle's perimeter and is the distance a circle travels around its boundary line.
The formula for the circumference of a circle is given by
Circumference of circle = 2πrHere we have
The circumference of a circle is 75.4 units
Let 'r' be the radius of the circle
As we know Circumference of a circle = 2πr
=> 2πr = 75.4
=> 2r(22/7) = 75.4
=> 2r = (75.4 × 7)/22
=> 2r = [527.8]/22
=> 2r = 23.99
=> 2r = 24 (approx)
Therefore,
The diameter of the circle is 24 units.
Learn more about Circles at
https://brainly.com/question/898710
#SPJ1
2. after 15 hours and 12 minutes a tsunami from krakatau hit port elizabeth, south africa, 7546 kilometers away. find the average speed of the tsunami.
The average speed of the tsunami was approximately 496.45 km/hr.
To find the average speed of the tsunami, we need to know the distance it traveled (7546 kilometers) and the time it took to travel that distance (15 hours and 12 minutes).
First, we need to convert the time to a single unit of measurement. For this calculation, we'll use hours. To do this, we'll convert the minutes to hours:
15 hours + 12 minutes ÷ 60 minutes/hour
= 15.2 hours
Next, we can divide the distance traveled by the time it took:
7546 km ÷ 15.2 hours
= 496.45 km/hr
To know more on average speed
https://brainly.com/question/12322912
#SPJ4
Skyla is trying to order the fractions below. Her first step is to rewrite each fraction with a common denominator. What is the lowest common denominator she could use? 17 20 56 8 1
Answer:
Below
Step-by-step explanation:
The lowest common denominator is 60
then the fractions become ( L to right) 51/60 50/60 32/60
The volume of 10,000 drops of a liquid is 10 fluid ounces. What is the volume of 100 drops?
Answer:
Step-by-step explanation:
if 10,000/10, find 100drops by moving decimal place
100.00/0.10
so volume is 0.1 flOz
2n × r × 2 × 1 × s
for n = 2, r = 2, and s = 1.
streets that form a square block. The length of each side of the block is 221 m. Find the area of the square defined by this city block.
The area of the square block is 48,881 m2, which is calculated by multiplying the length of each side (221 m) by itself.
The area of a square can be calculated by multiplying the length of one side by itself. In this case, the length of each side is 221 m. To find the area of the square block, we need to multiply 221 m by itself. This gives us 48,881 m2 as the final answer. To summarize, the area of the square can be found by multiplying the length of one side by itself. In this case, the length of each side of the block was 221 m, so 221 m multiplied by 221 m results in a total area of 48,881 m2.
The complete question: In one city there are four straight streets that form a square block. The length of each side of the block is 221 m. Find the area of the square defined by this city block.
Learn more about length here
https://brainly.com/question/8552546
#SPJ4
In the diagram below,
m∠CIH=100 and m∠BGD=42 Find m∠FHG.
m∠FHG is given as 120 degrees
How to solve for the angle100 + ∠FJG = 180 degrees
∠FJG = 80 degrees
∠BGD = ∠AGJ They are vertically opposite
∠HGI + ∠GIH + ∠IHG = 180
40 + 80 + ∠IHG = 180
∠IHG = 60 degrees
∠IHG + m∠FHG = 180 degrees
60 + m∠FHG = 180
m∠FHG = 120 degrees
Read more on angles here:https://brainly.com/question/25716982
#SPJ1
A right triangle is drawn on the coordinate plane. Which is a dilation of this triangle with respect to the origin by a factor of ?
The correct response is A since this triangle has a dilatation of (0,0),(1,0),(1,1)) by a factor of 1/3 with respect to the origin.
What is the process of dilation?A figure will dilate if its sides are scaled (multiplied) by the same amount. The scale factor of that dilatation is the name given to that figure.
It is also known as scaling a figure, but since coordinates are involved, it also requires the center of a dilation, which is similar to a pinned point and remains in the same location after dilation.
It appears as though we are adjusting the size of the figure (or leaving it the same when the scale factor is 1).
According to question:The positions (0, 0), (3, 0), (3,3)
1/3 scale factor
Now
the GPS coordinates;
(0,0),(1,0),(1,1)
Thus, required dilation is (0,0),(1,0),(1,1).
Learn more about dilation here:
brainly.com/question/27212783
#SPJ1
Complete question:
A right triangle is drawn on the coordinate plane. Which is a dilation of this triangle with respect to the origin by a factor of 1/3?
Answer:
The positions (0, 0), (3, 0), (3,3)
1/3 scale factor
Now
the GPS coordinates;
(0,0),(1,0),(1,1)
Thus, required dilation is (0,0),(1,0),(1,1).
Step-by-step explanation:
option a