when you subtract a negative number from any platitude number the equation changes to addition so you would add the value of the negative number to 1.
To subtract a negative number from one you will need to set it up like this
1- (-x) x equals the negative number you're talking about
so we use the method KCC (keep change change)
So we KEEP the positive one, CHANGE the subtraction sign in to a plus sign "+" then CHANGE the negative number to a positive
lets say the negative number is 2
1-(-2)
1+ (+2)
1+2 = 3
8. A group of teenagers were surveyed to find out whether they like to drink coffee or tea. The result is shown below. •21 teenagers like to drink coffee or tea •3 teenagers like to drink coffee and tea. •2 teenagers do not like to drink coffee or tea. Based on the information, calculate (a) the total number of teenagers in the group. (b) the number of teenagers who like to drink coffee only or tea only.
a) 26 teenagers are in the group. 21+3+2=26
b) 21 like to drink coffee or tea only. (3 like both and 2 like neither, so 21 enjoy one or the other)
Given the expression 3(4²) + 4 + 16-9, which operation would you perform first?
A. 3x4
B. 4²
C. 4+ 16
D.
16-9
Answer: 4²
Step-by-step explanation:
There is some rule but just remember:
1. parenthesis
2. exponents
3. division/multiplication
4. subtraction/addition
0.27 recurring as a fraction please
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
assuming the recurring digits are 0.272727.... , then
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.2727.... (1) ← multiply both sides by 100
100x = 27.2727... (2)
subtract (1) from (2) thus eliminating the repeating digits
99x = 27 ( divide both sides by 99 )
x = [tex]\frac{27}{99}[/tex] = [tex]\frac{3}{11}[/tex] ← in simplest form
Answer:
Jimrgrant1 has already answered this correctly, 3/11.
Step-by-step explanation:
I took 1.0 and divided it by 0.272727 to give 3.666666 . . .
I looked for value that would convert this into a whole number when multiplied. 3 times 3.666666 . . . is equal to 11.
That would mean a fraction equal to 0.272727 . . . would be 3/11
Which function is graphed below?
-
Answer:
y=3 (1/3)x
Step-by-step explanation:
On a graph, the closest graph you pictured is this answer
Answer:
y = [tex]3 (\frac{1}{3} )^{x}[/tex]
Step-by-step explanation:
Step 1:
Check the y-intercept; in the graph, when x = 0, y = 3. Which equation satisfies this?
y = [tex]\frac{1}{3}[/tex] [tex](3)^{x}[/tex] = [tex]\frac{1}{3}[/tex] [tex](3)^{0}[/tex] = [tex]\frac{1}{3}[/tex] ❌
y = [tex]3 (\frac{1}{3} )^{x}[/tex] = [tex]3 (\frac{1}{3} )^{0}[/tex] = 3 ✅
y = [tex](\frac{1}{2} )^{x}[/tex] + 2 = [tex](\frac{1}{2} )^{0}[/tex] + 2 = 3 ✅
So the last two equations are possible.
Step 2:
Now check the y-value on the graph for any other x-value, whose corresponding y-value can be easily estimated from the graph.
For example, when x = 2, the y-value is between 0 and 1.
• 2nd equation: y = [tex]3 (\frac{1}{3} )^{x}[/tex] = [tex]3 (\frac{1}{3} )^{2}[/tex] = 0.333 ✅
• 3rd equation: y = [tex](\frac{1}{2} )^{x}[/tex] + 2 = y = [tex](\frac{1}{2} )^{2}[/tex] + 2 = 2. 25 ❌
∴ 2nd equation (y = [tex]3 (\frac{1}{3} )^{x}[/tex] ) is the one being represented by the graph.
Hey I need help on this question. Could I have a simple explaination as I find it difficult to understand things
Answer:
9
Step-by-step explanation:
The surface, in this case, describes the number of squares that are painted. On the left hand side, we have a cube, so we know we're going to have 6 faces. And each face on the cube has 9 little squares, they can be counted on the diagram. So, the total number of squares that are painted on the left cube = [tex]9 * 6 = 54[/tex]
The star means multiplication.
We are told in the question that it takes 9 litres of paint to cover the surface of the left hand cube, meaning it takes 9 litres of paint to cover 54 squares.
This can be written in the ratio = [tex]9:54[/tex]
If we divide both sides of the ratio by 9, we can figure out the amount of squares that 1 litre of paint covers, [tex]1:6[/tex].
The ratio tells us that 1 litre of paint covers 6 squares.
Let's look at the shape on the right. It is still a cube, however, some segments have been removed. Some faces still remain the same as in the shape on the left, such as the bottom face, the back face and the face to the left. Those faces may not be so apparent on the diagram, however, they exist. So we have to count them.
The number of small squares on these faces = [tex]9 * 3=27[/tex]
If you look on the inside of the cube, which can be seen on the diagram, we can see three faces, each having four squares. So, the total number of squares here = [tex]3*4=12[/tex]
Also, we have some squares on the top, and if you count these, there are 5.
This also applies for the front and the right hand side if you count, so we add 10 squares to the total as there are another two lots of five.
So, the total number of squares on the right cube = [tex]27 + 12 + 5 + 5 + 5 = 54[/tex]
Let's bring back the ratio of litres of paint to the number of squares covered: [tex]1:6[/tex]
In the ratio, there are 6 squares per litre. We know that 6 × 9 = 54 (our total). So, we multiply left hand side of the ratio by 9 as well, bringing the total amount of paint required to 9 litres.
I hope this helps.
The surface area of cuboid = [tex]$400 \mathrm{~cm}^{2}$[/tex].
How to estimate the surface area of cuboid?
If the left cube takes 9 liters of paint to cover the surface. Then, also right cube takes 9 liters of paint to cover the surface.
Cuboid dimension [tex]$\frac{10 \mathrm{~cm}}{(l)} \times \frac{10 \mathrm{~cm}}{(b)} \times\frac{5 \mathrm{~cm}}{(h)}$[/tex]
Surface area = 2(lb + lh + bh)
= 2((10 [tex]\times[/tex] 10)+(10 [tex]\times[/tex] 5)+(10 [tex]\times[/tex] 5))
= 2(100+50+50)
= [tex]400 \mathrm{~cm}^{2}[/tex]
Therefore, surface area of cuboid = [tex]$400 \mathrm{~cm}^{2}$[/tex].
To learn more about surface area of cuboid
https://brainly.com/question/26403859
#SPJ2
Please help
(a) Write an equation for the volume V of the box in terms of x.
(b) Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.
Answer:
V = 4*8
V= 32
(x+x) * (x+x) = 2x * 2x = 4x^2
-1 1/3 - 1 2/3
answer in simplest form
Answer:
-3
Step-by-step explanation:
both are negatives, so think of it as addition
at the very end make sure you add the negative symbol :)
-1 1/3 - 1 2/3
Lila and mick have pets. lila's pet has 6.73 toy bones. mick's pet has 5 times the many toy bones lila has. how many bones does mick's pet have?
Answer:33.65
Step-by-step explanation:
6.73 x 5= 33.65
I’m having trouble understanding how to solve this someone please help ASAP thank you!
Use the Law of Cosines to solve the problem. You must solve for BC first. Solve this problem in order.
A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position. To the nearest tenth of a degree, how many degrees north of west (x) did it
turn when it changed direction? Show your work.
The graph of g(x), shown below in red, has the same shape as the graph of
f(x) = 2x, shown in blue. Which of the following is the equation for g(x)?
A. g(x) = 2(x-1) - 3
B. g(x) = 2(x+3) - 1
C. g(x) = 2(x-3) -1
D. g(x) = 2(x+1) - 3
The diagram shows a cone with slant height 10.5cm. If the curved surface area of the cone is 115.5cm². calculate correct to 3 Significant figures, the base radius, r ,height h Volume of the cone [take π 22/7]
The volume of the cone is V = 381.15 cu.cm
What is the Curved Surface Area of the cone ?The curved surface area of the cone is given by
A = πrl
The slant height given in the question is
l = 10.5 cm
A = 115.5 sq.cm
radius = ?
Height = ?
Volume = ?
Using the Curved Surface Area Formula
115.5 = π * r * 10.5
taking π = 22/7
r = 3.5 cm
The slant height is given by
[tex]\rm l = \sqrt{ r^2 + h^2}[/tex]
Therefore the height is
[tex]\rm h = \sqrt{ 10.5^2 -3.5^2}[/tex]
h = 9.9 cm
The volume of the cone is
V = π r²h
V = (22/7) * 3.5 * 3.5 * 9.9
V = 381.15 cu.cm
The volume of the cone is V = 381.15 cu.cm
To know more about Volume
https://brainly.com/question/1578538
#SPJ1
two number cubes are rolled. Deterimine the number of ways that you could get a sum that is less than 5. The number cube is out of 6
Answer: six ways
Step-by-step explanation: The pairs when the cube is rolled that are less than five would be; (1,1), (1,2), (1,3), (2,1), (2,2), (3,1) since each cube is out of six.
The two-way frequency table below shows the preferred communication method of employees at a company
The percentage of employees with 8 or more years at the company reported that email is their preferred method of communication is 20.48%
Complete questionThe two-way frequency table below shows the preferred communication method of employees at a company, based on years of employment with the company.
See attachment
What percentage of employees with 8 or more years at the company reported that email is their preferred method of communication?
A. 44.79% B. 20.48% C. 48.84% D. 67.19%
How to determine the percentage of employee that prefers email?From the attached image, we have:
Email 8 or more = 43
The total number of employees in the company is
Total = 210
So, the percentage that prefers email is
Percentage = 43/210 * 100%
Evaluate
Percentage = 20.48%
Hence, the percentage of employees is 20.48%
Read more about frequency tables at
https://brainly.com/question/16883828
#SPJ1
Using the relationships between
perpendicular lines and their slopes, explain
why horizontal and vertical lines will always
be perpendicular.
Be sure to include the slopes of horizontal
and vertical lines as part of your answer
Answer:
They will always intersect at one point
Step-by-step explanation:
^^
If you vertically stretch the cubic parent function, f(x) = x3, what is the
equation of the new function?
Write an equation for a graph that is the set of all points in the plane that are equidistant from the point F(4, 0) and the line x = –4.
The equation of the graph is y ² = 16x.
What is a Parabola ?A parabola is a U shaped curve ,all the point of which is equidistant from a point called as focus and a line called as Directrix .
In the given question , the graph is a horizontal parabola as the directrix is x = -4 , and as the focus lies on the right side , it is opening towards the right.
The equation for the horizontal parabola is given b y
(y-k)² = 4p(x-h)
h , k is the mid point of focus and the directrix , i.e. the vertex and is given by
h = ([tex]\rm x_f[/tex] +a )/2 , k = [tex]\rm y_f[/tex]
h = (4 -4)/2 , k = 0
h=0 , k = 0
The vertex is 0 , 0
p = (|[tex]\rm x_f[/tex] - a|)/2 = 8/2 = 4
Therefore the equation of the graph is
y ² = 4 * 4 *x
y ² = 16x
The equation of the graph is y ² = 16x.
To know more about Parabola
https://brainly.com/question/21685473
#SPJ1
Difference between 13.40 and 17.15
Answer:
3.75
Step-by-step explanation:
17.15-13.40=3.75
Answer:
3.75
Step-by-step explanation:
17.15- 13.40=3.75
Calculate the middle number in the middle of 12.7 and 21.2.
The middle number is 16.95
What is Number system?The collection of numbers is called the number system. These numbers are of different types such as natural numbers, whole numbers, integers, rational numbers and irrational numbers.
Given:
Numbers are 12.7 and 21.2
Difference between number
= 21.2-12.7
=8.5
middle number
= 12.7+ 8.5/2
= 12.7+ 4.25
= 16.95
Hence, the middle number is 16.95.
Learn more about this middle number here:
https://brainly.com/question/17721191
#SPJ1
Determine the period.
Drag the fractions to put them in order from least to greatest. 1/2 1/3 1/6 4/9
Answer:
See below
Step-by-step explanation:
If you can't tell just by looking at them, you will need to convert them all to fractions of a common denominator .....in this case (the smallest) common denominator would be 18
1/2 = 9/18
1/3 = 6/18
1/6 = 3/18
4/9 = 8/ 18 so now you can see least to greatest is
1/6 1/3 1/2 4/9
Answer:
To make it best for you, you can find The Lowest common denominator between the fractions by then you can be able to decide which ones is small to biggest.LCD is 18 therfore respectively we have 9[tex] \frac{9}{18} ... \frac{6}{18} ... \frac{3}{18} ... \frac{8}{12} .... \\ therfore \: \frac{1}{6} ... \frac{1}{3} ... \frac{4}{9} .... \frac{1}{2} ...[/tex]The average hourly salary of workers in a warehouse is $14.50 with a standard deviation of $1.75. the shaded area of which curve represents the probability of the hourly salary being between $11 and $16.25?
Answer:
where is the question Skidoo
this is just a statement
Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.
A. -80x + 24.5y - 56
B. -80x + 28y - 56
C. 80x + 28y + 56
D. 4 (-20x + 7y - 14)
E. -4 (-20x + 7y - 14)
Answer:
B, D
Explanation:
8(-10x+3.5y-7)
= -80x + 28y - 56
4 (-20x + 7y - 14)
= 8(-10x+3.5y-7)
= -80x + 28y - 56
Answer:
B) -80x + 28y - 56
D) 4 (-20x + 7y - 14)
Original Expression:
⇒ 8(-10x+3.5y-7)
⇒ -80x + 28y - 56
Now confirmed that option B is correct when the expression is simplified which makes option A and C not applicable.
For option D:
⇒ 4 (-20x + 7y - 14)
⇒ -80x + 28y - 56
Option E is not correct as:
⇒ -4 (-20x + 7y - 14)
⇒ 80x - 28y + 56
can someone please help mee(20 points and i will give brainliest!!!)
The vertex is the lowest/highest point, depending on if the parabola opens upwards or downwards.
So because the vertex opens upwards, we are looking for the lowest point which is at (2,-3).
the equation for the circle shown below is x2 + y2 = 64 What is the length of the circles radius
Answer:
radius = 8
Step-by-step explanation:
the equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 64 ← is in this form
with r = [tex]\sqrt{64}[/tex] = 8
is this correct ?-?
I need to get this done lol
Answer:
6
Explanation:
[tex]\textsf {The range of a data representation refers to difference of the smallest and }\\\textsf {greatest possible values. }[/tex]
[tex]\textsf {Here :}[/tex]
[tex]\textsf {smallest value = 5}\\\textsf {greatest value = 11}[/tex]
[tex]\textsf {Then the range will be :}\\\implies \textsf {greatest value - smallest value}\\\implies \mathsf {11 - 5}\\\implies \mathsf {6}[/tex]
What is the value of x?
to
x = [? ]°
36°
Enter
I will give you 25 pts
The vale of x is 54°.
What is tangent?The tangent is defined as a line touching circles or an ellipse at only one point.
We have,
As, the tangent is perpendicular to the radius of the circle.
So, using Angle sum property in a triangle
x+90+36= 180
x+126 = 180
x= 54°
Hence, the value of x is 54°
Learn more about tangent here:
https://brainly.com/question/14022348
#SPJ1
i need help asapppppp
Answer:
a
Step-by-step explanation:
2^3 = 8; 4^3 = 64; 8/64 = 1/8
(g^5)^3 = g^15
(h^2)^3 = h^6
g^15/8h^6
The midpoint of AB is M(-2, -1) If the coordinates of AA are (-7, 2) what are the coordinates of B?
Answer:
(3,-4)
Step-by-step explanation:
Write g(f(x)) as an expression in terms of x
An expression is defined as a set of numbers, variables, and mathematical operations. The value of g(f(x)) is (x²-10x+13) / (x²-10+29).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The complete questions is,
Write g(f(x)) as an expression in terms of x
f(x) = x-5
[tex]g(x) = \dfrac{x^2-12}{x^2+4}[/tex]
The value of g(f(x)) as an expression in terms of x can be written as,
[tex]g(f(x)) = \dfrac{(x-5)^2-12}{(x-5)^2+4}\\\\\\g(f(x)) = \dfrac{x^2+25-10x-12}{x^2+25-10x+4}\\\\\\g(f(x)) = \dfrac{x^2-10x+13}{x^2-10+29}[/tex]
Hence, the value of g(f(x)) is (x²-10x+13) / (x²-10+29).
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ1
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of seconds Lola needs to sign all 96 invitations?
The time needed by Lola to sign all the 96 invitations is 508.8 second
What is a Product ?Product is the number obtained when two numbers are multiplied with each other
It is given that
Total Invitations that Lola needs to sign = 96
Time taken to sign full name = 5.3 seconds
Total time needed by Lola to sign invitations is
96 * 5.3
= 508.8 seconds
Therefore the time needed by Lola to sign all the 96 invitations is 508.8 second
To know more about Product
https://brainly.com/question/22852400
#SPJ1
