Answer: 5/6
Step-by-step explanation:
Answer:
6 divided by 8 is 3/4 (.78)
2/3 divided by 8 is 1/12 (0.083)
6 2/3 divided by 8 is 5/6 (0.83)
How much of an alloy that is 40% copper should be mixed with 500 ounces of an alloy that is 70% copper in order to
get an alloy that is 60% copper?
☐ounces
Answer:
250 ounces of 40% percent copper alloy
Step-by-step explanation:
Let a be the number of ounces of 40% copper alloy.
[tex].4a + .7(500) = .6(500 + a)[/tex]
[tex].4a + 350 = 300 + .6a[/tex]
[tex].2a = 50[/tex]
[tex]2a = 500[/tex]
[tex]a = 250[/tex]
250 ounces of 40% copper alloy.
5.Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out - squares from each corner. The length of the original piece of cardboard is more than the width. If the volume of the box is , determine the dimensions of the original piece of cardboard.
The dimensions of the original piece of cardboard are 24 inches by 12 inches
How to determine the dimensions of the original piece of cardboard?The given parameters are:
Length (l)= Width (w) + 12
Length of the square cut out = 6
Volume of box, V = 1728
The volume of the box is then calculated as
V = Length of squares * Length * Width
This gives
V = 6 * (w + 12) * w
So, we have:
6 * (w + 12) * w = 1728
Divide both sides by 6
(w + 12) * w = 288
Expand
w^2 + 12w - 288 = 0
Using a graphing calculator, we have:
w = 12
Substitute w = 12 in l = w + 12
Evaluate
l = 12 + 12
l = 24
Hence, the dimensions of the original piece of cardboard are 24 inches by 12 inches
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Complete question
Lorene plans to make a box from rectangular sheets of cardboard from which she cuts out 6 inches squares from each corner. The length of the original piece of cardboard is 12 inches more than the width. If the box is 1728 inches cubed, determine the dimensions of the original piece of cardboard.
solve the following equation for d. 4hd=3f-g3
Step-by-step explanation:
Divide by 4h, d=3f-g3/4h
HEEEEEEEEEEEEEEEEEEEEEELP
pls
Which point on the number line could represent Negative 2 and one-fourth? A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is between negative 2 and negative 1, point D is between negative 1 and 0. Group of answer choices A B D C
Answer:
point A and point B
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
I think it’s B. because it has negative 3 and negative 2 but for C., it is between negative 2 and negative 1 which can’t be correct since it would end at negative 2 and this is why it is b.
A fraction is a number which can be written in the form a/b, where a, b are _____numbers and b ≠ 0
Answer:
Step-by-step explanation:
a and b are integers
A number that can be written in the form a/b where a and b are integers. However, b cannot equal zero. Therefore a rational number
Write the equation of the line with a slope of 2/7 that passes through the point (3, -4). Write solution in slope intercept form.
The equation of the line with a slope of 2/7 that passes through the point (3, -4) is:
y = (2/7)*x - 34/7
How to write the linear equation?Here we know that the linear equation has a slope of 2/7, so we can start by writing it as:
y = (2/7)*x + b
Now we need to find the value of b, which is the y-intercept.
To find the value of b, we can use the values on the given point, which is (3, -4), This means that when the value of x is 3, the value of y is -4, then we can replace that in the above linear equation, so we will get:
-4 = (2/7)*3 + b
-4 - 6/7 = b
-28/7 - 6/7 = b
-34/7 = b
Then we can conclude that the linear equation is:
y = (2/7)*x - 34/7
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The triangle shown has an area of 32.5 square centimeters. Find the measure of the base (segment XY).
Answer:
XY = 13 cm
Step-by-step explanation:
Area of a triangle formula:
area = base × height / 2
a = bh / 2
Plug numbers into equation:
32.5 = b × 5 / 2
Multiply both sides by 2 to isolate the variable
65 = b × 5
Divide both sides by 5 to isolate the variable
13 = b
Check your work:
32.5 = 13 × 5 / 2
32.5 = 65 / 2
32.5 = 32.5
Correct
help me pls asap ill give u 21 points'
Answer:
I think the answer is A
Step-by-step explanation:
I'm not sure if it's correct or not but I chose the option because the atoms in substance are not chemically combined
Which expression is equivalent to one sixth times the quantity 4 times x plus 18 end quantity minus 13 over 18 times x?
a) negative one eighteenth times x minus three
b) negative one eighteenth times x plus 3
c) one eighteenth times x minus 3
d) one and seven eighteenths times x plus three
The expression is negative one eighteenth times x plus 18.
How to find equivalent expression?The expression says "one sixth times the quantity 4 times x plus 18 end quantity minus 13 over 18 times x".
Therefore, the statement can be expressed as follows;
1 / 6 × 4 × x + 18 - 13 / 18 × x
Therefore, let's simplify it
1 / 6 × 4 × x + 18 - 13 / 18 × x
4x / 6 + 18 - 13 / 18 × x
4x / 6 + 18 - 13 / 18 x
combine like terms
4x / 6 + 18 - 13 / 18 x
4x / 6 - 13 / 18 x + 18
12x - 13x / 18 + 18
Therefore,
- 1 / 18 x + 18
Therefore, the expression is negative one eighteenth times x plus 18.
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Answer: b) negative one eighteenth times x plus 3
Step-by-step explanation: :)
Find the distance between B(4,1) and C (4,8)
Answer:7
Step-by-step explanation: the answer is 7
What is greater .0048 km or 4800 da m (decimeters)
Answer: 4800 decimeter
Step-by-step explanation:
0.0048 km = 48 dm
4800 dm = 0.48 km
Lines a & m are parallel. Using the diagram below, solve for x.
Enter the numerical answer only. Do NOT type x =
Answer:
Angle 2 is 36 degrees because of Alternate Exterior Angle Theorem being that both of the angle outside and are alternate are Congruent.
The answer is X=11 because 2x+14=36, 2x=22, x=11. 2(11)+14=36
What is the area of the figure shown below?
Answer with a numeric value only. That is, do not include "square centimeters" with your response.
Answer:
96cm²
Step-by-step explanation:
1.) You can split the shape into 2: a rectangle and a triangle.
2.) The formula to find the area of the rectangle is:
length × width.
10 (length) × 8 (width) = 80cm²
3.) Then you can find the area of the triangle. The formula for finding the area of a triangle is:
½ × base × height.
½ × 4 (base) × 8 (height) = 16cm²
3.) Add the two answers together to give you the combined and total area of the shape.
80cm² + 16cm² = 96cm²
Two fizgigs and three whatsits weigh 22 noozwhats.
Four fizgigs and two whatsits weigh 28 noozwhats.
Use a graphing calculator to determine which
solution matrix gives the weight of a fizgig and the
weight of a whatsit.
Using a system of equations, the solution matrix that gives the weight of a fizgig and the weight of a whatsit is:
[x y] = [5 4]
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.
For this problem, the variables are given as follows:
Variable x: weight of a fizgig.Variable y: weight of a whatsit.Two fizgigs and three whatsits weigh 22 noozwhats, henec:
2x + 3y = 22.
Four fizgigs and two whatsits weigh 28 noozwhats, hence:
4x + 2y = 28.
Simplifying by 2:
2x + y = 14
y = 14 - 2x.
Replacing in the first equation:
2x + 3(14 - 2x) = 22
2x + 42 - 6x = 22
4x = 20
x = 20/4
x = 5 noozwhats.
y = 14 - 2(5) = 4 noozwhats.
Hence the solution matrix that gives the weight of a fizgig and the weight of a whatsit is:
[x y] = [5 4]
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please help
please hurry
Which of the following represents an EFFICIENT point of production?
A. Point B
b. Point A
c. Point D
d. None
Answer:
d none
Step-by-step explanation:
because they are sloping down
A sample of 30 students at a local college were given a test consisting of 10 questions about current news events. The distribution of the number of correct answers given is recorded in the frequency column of the table below. Questions that were not answered were marked incorrect. The frequency represents how many of the 30 students who took the test got a certain number of answers correct. For example, three students answered five questions correctly.
Number correct Frequency
0 3
1 2
2 6
3 1
4 1
5 3
6 2
7 4
8 4
9 2
10 2
What is the mean test score?
Round to one decimal place.
Answer:
Step-by-step explanation:
meow meow its 99
Using it's concept, the mean test score is of 4.9.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
From the frequency table, the sum of the 30 observations is given by:
0 x 3 + 1 x 2 + 2 x 6 + 3 x 1 + 4 x 1 + 5 x 3 + 6 x 2 + 7 x 4 + 8 x 4 + 9 x 2 + 10 x 2 = 146.
Hence the mean test score is given as follows:
M = 146/30 = 4.9.
The mean test score is of 4.9.
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en Vision Algebra 2
1-1 Reteach to Build Understanding
Key Features of Functions
Linear, quadratic, and absolute-value functions can be graphed using key features
that the equation identifies. Key features can be labeled using either set builder
notation or interval notation. Interval notation represents a set of real numbers by
a pair of values. Parentheses are used when the points are not included. Brackets
are used for when a boundary point is included.
1. Use the function f(x) = x2 – 16 and identify the key features that are listed in
the table for the graph. Label the graph with the key features.
Key Feature
Domain
Range
Minimum Value
Function is Function is
x-intercept
decreasing increasing
10
y-intercept
LEAD) 14.0VA
Function is Positive
-2 O
Function is Negative
TO
Interval Increasing
Domain:
Interval Decreasing
Range:
-20160-16)
The value of
Domain(- ∞,∞), Range(- 16, ∞), Minimum Value = -16
Function is a quadratic function. x-intercepts are -4 and 4.
The function decreasing before vertex = (-∞,0)
The function increasing after vertex = (0, ∞)
y-intercept is -16.
Function is Positive(- ∞, - 4) ∪ (4, ∞) : , Function is negative : (- 4, 4)
Interval Increasing Domain(0,∞),
Interval Decreasing Range(- ∞, -16)
According to the data, equation f(x) = [tex]x^{2}[/tex] – 16
It is an upward parabola because coefficient of is positive.
The vertex form of a parabola is
f(x) = a[tex](x - h)^{2}[/tex] . . . (2)
where, a is constant and (h , k) is vertex.
From (1) and (2), we get
a = 1, h = 0, k = - 16
So, vertex of the parabola is (0,-16).
The given function is defined for all values of x. So,
Domain : (- ∞,∞)
The value of a function which is an upward parabola cannot be less than the y-coordinate of its vertex. So
Range : (- 16, ∞)
Minimum Value = y-coordinate of vertex = -16
Function is a quadratic function.
For f(x)=0
⇒ 0 = [tex]x^{2}[/tex] - 16
⇒ 16 = [tex]x^{2}[/tex]
⇒ x = ± 4
So, x-intercepts are -4 and 4.
The function decreasing before vertex = (-∞,0)
The function increasing after vertex = (0, ∞)
For x=0,
f(0) = [tex](0)^{2}[/tex] - 16
⇒ - 16
So, y-intercept is -16.
Function is Positive : (- ∞, - 4) ∪ (4, ∞)
Function is negative : (- 4, 4)
Interval Increasing Domain: (0,∞)
Interval Decreasing Range: (- ∞, -16)
Following are the key features of functions
1. Domain and Range
2. x-intercept and y-intercept
3. Positive and Negative intervals
4. Intervals of increasing, decreasing and constant behavior
5. Parent Functions
6. Maxima and Minima
Domain and Range
Domain : The domain is the set of all possible inputs or x-values. To find the domain of a function, we have to look at the x-axis of the graph.
Determining Domain :
1. Start at the origin.
2. Move along the x-axis until you find the lowest possible x-value. This is your lower bound.
3. Return to the origin.
4. Move along the x-axis until you find your highest possible x-value. This is your upper bound.
Range :The range is the set of all possible outputs or y-values. To find the range of the graph, we have to look at the y-axis of the graph.
Determining Range :
For the range, do the same thing but move along the y-axis.
x-intercepts and y-intercepts
x-intercept :
1. This is where the graph crosses the x-axis.
2. To find it algebraically, set y = 0.
3. Have many names :
x-intercept
-Roots
-Zeros
-y-intercept :
1. This is where the graph crosses the y-axis.
2. To find it algebraically, set x = 0.
Positive Interval :
In the diagram below, the graph of the function is above the x-axis in the following intervals.
(-3, -1) and (2, 4)
More precisely, y is positive when x ∈ (-3, -1) and (2, 4).
So, the positive intervals for the above graph are
(-3, -1) and (2, 4)
Negative Interval :
In the diagram above, the graph of the function is below the x-axis in the following intervals.
(-∞, -3), (-1, 2) and (4, +∞)
More precisely, y is negative when x ∈ (-∞, -3), (-1, 2) and (4, +∞).
So, the negative intervals for the above graph are
(-∞, -3), (-1, 2) and (4, +∞)
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Write the following in terms of cos0 only? Csc0
Answer:on the given cushion. We want to represent cost like 30 in terms of cost. Rita. Now by the identity sector tragical toe one by scientists. Now we know that science can't theta plus Costco Arteta is equal to one. So they get signed. Tetteh is equal to plus minus quite a tough one. Minus cause squared theta. So this will be a photo one by plus minus square wrote off one minus y squared theta.
Step-by-step explanation:
Help please I’ll mark brainly
Hello,
[tex]4 = - 8 - \boxed{(-12)}[/tex]
How to do this picture 8th grande math
Answer:
4.61x10^5
Step-by-step explanation:
You want the first number to be between 0 and 10, not equaling either. So you move the decimal place to the left. Then, you write the second half, which is that you multiply it by ten to the power of however many digits you moved to the left for, which is 5.
a car is traveling at a rate of 90 miles per hour. what is the car's rate in feet per second?
Answer:
132 feet per second
Step-by-step explanation:
Which expression is represented by the following area model?
A. 3/5(2/5 + 1/3)
B. 3/5 x 2/5 + 1/3
C. 3/5 + 2/5 + 1/3
D. 3/5 x 2/5 x 1/3
From the fig the Area model is, = 3/5(2/5 + 1/3)
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Area. Now, imagine your square is made up of smaller unit squares.
Area of rectangle = l x b
given that, lets consider the fig as rectangle with one side 2/5+1/3 as breadth and another side 3/5
As we know , Area of rectangle = l x b
l=3/5
b=2/5+1/3
Area model= 3/5(2/5 + 1/3)
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Answer:
The Area model for the fig. is, = 3/5(2/5 + 1/3).
Step-by-step explanation:
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.
Rectangle area = l x b
Given that, let's imagine the fig as a rectangle with a width of 2/5+1/3 and a length of 3/5.
As we know , Area of rectangle = l x b
l=3/5
b=2/5+1/3
Area model= 3/5(2/5 + 1/3)
M (-3,4) is the midpoint of segment RS. The coordinates of S are (2,-3). What is the x-coordinate of R?
The x-coordinate of point R from the given coordinates is -8
Midpoint of a coordinateThe formula for calculating the midpoint of coordinates is expressed according to the formula:
M(x, y) = {(x₁+x₂)/2, (y₁+y₂)/2}
Given the coordinate points M (-3,4) and S (2, -3)
Substitute
-3 = (x₁+x₂)/2
-3 = 2+x₂/2
-6 = 2 + x₂
x₂ = -8
Similarly;
Substitute
4 = (-3+y₂)/2
4 = -3+x₂/2
8 = -3 + y₂
y₂ = 11
Hence the x-coordinate of point R from the given coordinates is -8
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The distance between Lon
Cardiff is 150 miles.
) What is this distance in k
I
kilo
Answer:
241.5 km
Step-by-step explanation:
The distance between London and Cardiff in kilometres is 241.5 km
4. What is the equation of the line that passes
through the point (6, 0) and has a slope of -3?
1) y = −3x + 6
2) y=-3x - 18
3) y=-3x - 6
4) y = −3x + 18
Answer: the fourth choice, or y=-3x+18
Step-by-step explanation:
using the point-slope form, we can plug in the values:
y-0= -3(x-6)
distributing the right side we get
y-0=-3x+18
putting it into y=mx+b form we get y=-3x+18
In the diagram below, AD || EH, m/ABF
m/CGH = 80°. Find m/I.
Step
1
2
try
Angle
m/ABF = 138°
m/CGH 80°
m/
-
D
H
O
80°
G
I
C
= 138° and
Select a Reason
F
Reason
Given
Given
B
138⁰
E
Answer:
Step-by-step explanation:for the triangle GIF, angle g = 80
angle f = 42 since angle FBA = 138
so angle i = 180 - 42 - 80
= 58
The graph of f(x) = x³ has been reflected about the y-axis and vertically shifted up 4 units. Which equations is correct for these transformations ?(choose only one)
a. g(x) = -x³-4
b. g(x) = (-x)³ – 4
c. g(x) = -(x +4)³
d. g(x) = (-x)³ + 4
The transformation of the equation will be f(x) = (-x)³ + 4.
Then the correct option is D.
What is a function?A function is a statement, tenet, or rule that establishes a connection between two variables. Mathematics is replete with functions, which are necessary for the construction of intricate connections.
The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.
The function's graph is provided below.
f(x) = x³
If the graph crosses the y-axis, substitute a negative value for x.
The function will then be f(x) = (-x) ³
Add 4 if the graph has been raised by 4 units.
The equation will then be transformed to f(x) = (-x)³ + 4
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what are the factor pairs of 34
Answer:
2 and 17
Step-by-step explanation:
2 x 17= 34
hope it helps
What is 9 to the power of 3/2