Answer:
Step-by-step explanation:
Better write, "Solve '4 is to 3 as x is to 20' for x."
x = 80/3
Writing out this equation of ratios, we get:
4 x
------ = -----
3 20
Cross multiplication here yields:
3x = 80, and then x = 80/3.
To solve this proportion problem, set up the equation 4/3 = x/20. Cross multiply and solve for x to get x = 80/3.
Explanation:This is a proportion problem. We can set up the equation:
4/3 = x/20
To solve for x, we can cross multiply:
4 * 20 = 3 * x
80 = 3x
Divide both sides by 3 to solve for x:
x = 80/3
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24 students is _% of 43
Answer:
(24 / 43) * 100 = 55.81395349 %
which equals roughly 55.81 %
Step-by-step explanation:
Li rolls a pair of number cubes twice. On both rolls, the sum is 7. Are the rolls dependent or independent events?
Answer:
these are independent
Step-by-step explanation:
Can you please help me asp because I am really confuse !. Plus you get 14 points!!
Answer:
1. B
2. 2 and 1/8 cups
Step-by-step explanation:
You just had to make common denominators and then your would subtract
Answer:
1) B
2) 2 1/8 cups
Step-by-step explanation:
1) make the denominator the same so it is 5 4/12 minus 2 9/12. You get 2 7/12 which is greater than 2 1/2 (2 6/12) and smaller th an 3
2) 8 7/8 minus 6 3/4 is equivalent to 8 7/8 minus 6 6/8 which is 2 1/8
All done mentally.
f(x)=-11x-2 and g(x) =7x-4 find (f°g)(x)
Answer:
- 77x + 42
Step-by-step explanation:
note that (f ○ g)(x) = f(g(x)
Substitute x = g(x) into f(x)
f(g(x))
= f(7x - 4)
= - 11(7x - 4) - 2
= - 77x + 44 - 2
= - 77x + 42
which quadratic equation is equivalent to (x^2-1)^2 -11(x^2-1)+24=0
A)u^2-11u+24=0 where u=(x^2-1)
B) (u^2)^2 -11(u^2) +24 where u = (x^2-1)
C)u^2+1-11u+24 =0 where u =(x^2-1)
D)(u^2-1)^2 -11(u^2-1) +24 where u =(x^2-1)
Answer:
[tex]\large\boxed{A)\ u^2-11u+24=0}[/tex]
Step-by-step explanation:
[tex](x^2-1)^2 -11(x^2-1)+24=0\\\\\text{Substitute}\ (x^2-1)=u\\\\\underbrace{(x^2-1)}_{u}\ ^2 -11\underbrace{(x^2-1)}_{u}+24=0\to u^2-11u+24=0[/tex]
Answer: The correct option is
(A) [tex]u^2-11u+24=0,~~\textup{where }u=(x^2-1).[/tex]
Step-by-step explanation: We are given to select the correct quadratic equation that is equivalent to the following equation :
[tex](x^2-1)^2-11(x^2-1)+24=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Let us consider that
[tex]u=x^2-1.[/tex]
Substituting the value of u in equation (i), we get
[tex](x^2-1)^2-11(x^2-1)+24=0\\\\\Rightarrow u^2-11u+24=0.[/tex]
Thus, the required equivalent quadratic equation is
[tex]u^2-11u+24=0,~~\textup{where }u=(x^2-1).[/tex]
Option (A) is CORRECT.
Solve.
y = 2x + 3
x + y = 6
Please show work so I can understand how to solve this equation.
Answer:
x=1
Step-by-step explanation:
you would substitute the first equation in for the y in the second equation
x + 2x+3 =6
then you would combine the x's
3x +3 = 6
Then you would move the 3 to the other side with the six
3x =6-3 3x = 3
Then finally you would divide the three
3x/3 = 3/3 x=1
the product of c and 8 is greater than 21
Answer:
8c > 21
The solution is c > 21/8.
Step-by-step explanation:
Not all math problems have only one solution. Some math problems have multiple solutions such as set or group of solutions. These problems are called inequalities. Inequalities have solutions within a range using symbols such as >, <, ≤, and ≥. These are known as greater than, less than, less than or equal and greater than or equal. You can write any inequality expression from words into symbols using these signs.
The expression "the product of c and 8 is greater than 21" is translated into
8c > 21
since product is multiplication.
It can be solved by dividing both sides by 8.
The solution is c > 21/8.
a tree 3 feet tall grows 8% each year . how tall will the tree be at the end of 14 years ? round the answer to the nearest hundredth
Answer:
33.61 ft
Step-by-step explanation:
First you find the product of 3ft and 8%
3.0(0.8)=2.4
Then you find the product of 2.4 and 14years
2.4(14)=33.61
Using the formula for exponential growth, a tree that is initially 3 feet tall and grows at a rate of 8% per year would be approximately 5.23 feet tall at the end of 14 years.
Explanation:
To solve this problem, we can use the formula for exponential growth: Final amount = Initial amount * (1 + Growth rate) ^ Number of periods.
The initial height of the tree is given as 3 feet. This is our initial amount. The growth rate is 8% per year, so we represent this as 0.08 in our formula. The number of periods is 14 years.
So, we have:
Final height = 3 * (1 + 0.08) ^ 14
To find the final height, we multiply 3 by 1.08 raised to the power of 14. Doing the math, the tree would be approximately 5.23 feet tall at the end of 14 years, rounded to the nearest hundredth.
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All dogs are animals.
Some animals are pets.
------------------
Therefore, some dogs are pets.
Vaild or Invalid?
This is valid.
.
.
.
.
.
Is this the right answer
Answer:
V = 60
Step-by-step explanation:
Yes, it is
Best regards
Answer:
yes that is that is that is the right answer hope u get all your homework right
Step-by-step explanation:
Use a calculator to find the standard deviation of this data set 8,14,12,9,16 round to the nearest tenth? NEED HELP ASAP THX
Answer:
3.3 apex
Step-by-step explanation:
Answer:
3.3
Step-by-step explanation:
Identify the sequence 3,888, 216, 12, 2/3... as arithmetic, geometric, neither, or both.
A: arithmetic
B: geometric
C: neither
D: both
It is a geometric sequence but not an arithmetic sequence. So the answer is B
oc is perpendicular to ab
Since OC is perpendicular to AB, the line AB gets split evenly. So
[tex]ab = 2ac[/tex]
So AB=2*6.7=13.4
Ans: Option B, 13.4 units
Length of ab is B. 13.4 units
What is a circle?A closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre" is called a circle.In a circle the length of the chord is bisected by the perpendicular joining the center.How to find the length of ab?According to the problem,
ab is the chord.oc is perpendicular to ab∴ OC should bisect AB
Length of AC = Length of BC = 6.7 units∴ Length of AB = 13.4 units.
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The car owned by a person is part of his or her ____.
a.
investment assets
b.
liquid assets
c.
long term assets
d.
use assets
Please select the best answer from the choices provided
Answer:
The correct answer would be A
Step-by-step explanation:
I have another one!
(6m−7)⋅4
Thanks!!
4*6m=24m
-7*4=-28
24m -28
Answer:
24m-28
Step-by-step explanation:
Which equation represents the same proportional relationship as the graph
The slope of the given linear line is 3/5 thus the equation is y = 3/5 x so option (A) is correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
The slope of the line is 3/5
Since, the equation is y = mx + c where m is the slope and c is the y-intercept.
In the given line c = 0 and m = 3/5
y = 3/5 x
Hence "The slope of the given linear line is 3/5 thus the equation is y = 3/5 x".
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20 points! Write the expression in simplest form.
(-11/2 x + 3) - 2(-11/4 x - 5/2) =
Answer: 11x+ 8
Step-by-step explanation:
What is the value of x in the equation 5(3x + 4) = 23?
[tex]\huge\text{$x=\boxed{\frac{1}{5}}$}[/tex]
Hey there! To solve this problem, we need to isolate [tex]x[/tex] on one side of the equation.
[tex]\begin{aligned}5(3x+4)&=23\\5\cdot3x+5\cdot4&=23&&\smash{\Big|}&&\text{Distribute the $5$.}\\15x+20&=23&&\smash{\Big|}&&\text{Multiply.}\\15x&=3&&\smash{\Big|}&&\text{Subtract $20$ from both sides.}\\x&=\frac{3}{15}&&\smash{\Big|}&&\text{Divide both sides by $15$.}\\x&=\boxed{\frac{1}{5}}&&\smash{\Big|}&&\text{Divide the numerator and denominator by $3$.}\end{aligned}[/tex]
Answer:
[tex] x = \frac { 1 } { 5 } [/tex]
Step-by-step explanation:
We are given the following equation and we are to find the value of x by making it the subject of the equation:
[tex] 5 ( 3 x + 4 ) = 23 [/tex]
We will start by opening the brackets and expanding the term by multiplying 5 with the terms inside the brackets to get:
[tex] 15 x + 20 = 23 [/tex]
[tex] 15 x = 23 - 20 [/tex]
[tex] 15 x = 3 [/tex]
[tex] x = \frac { 3 } { 15 } [/tex]
[tex] x = \frac { 1 } { 5 } [/tex]
What is an open line of credit? a. A line of credit which has no current balance. b. A line of credit with a variable interest rate. c. A line of credit against which additional debt may be drawn. d. A line of credit which has no credit history requirements. Please select the best answer from the choices provided A B
Answer: C
Step-by-step explanation: An open line of credit is a line of credit against which additional debt may be drawn. An open credit line allows you to borrow money against the credit line at different times. You can borrow against it up to the credit limit.
Simplify the expressions. Show your work.
(X-2) (3x-4)
Please don’t guess
Answer: 3x^2-10x+8
Step-by-step explanation:
x*3x+x(-4)+(-2)*3x+(-2)(-4) Foil Method
3x^2-4x-6x+8 Add and subtract like factors
Answer:
3x² - 10x + 8Step-by-step explanation:
Use FOIL: (a + b)(c + d) = ac + ad + bc + bd
[tex](x-2)(3x-4)=(x)(3x)+(x)(-4)+(-2)(3x)+(-2)(-4)[/tex]
[tex]=3x^2-4x-6x+8[/tex] combine like terms
[tex]=3x^2+(-4x-6x)+8=3x^2-10x+8[/tex]
Mark's soup recipe makes 6 servings and uses 4 carrots and 2 potaoes. How many potaoes and carrots does mark need for 15 servings?
Answer:
10 carrots and 5 potatoes
Step-by-step explanation:
1) 15÷6=2.5
2)4 x 2.5=10
3)2 x 2.5=5
PLEASE HELP
City A and city B each have 10 parks. The table shows the number of acres for each park in the two cities.
City A : 6 9 10 7 10 10 2 5 8 8
City B : 5 10 8 11 7 12 6 5 4 5
Select from the drop-down menus to correctly complete each statement.
The mean number of acres for each park for the two cities is:
A. About the same
B. Much greater for City A than for City B
C. Much greater for City B than for City A
The range for the number of acres for parks for the two cities is:
A. The same
B. Greater for City A than for City B
C. Much greater for City B than for City A
The mean number of acres for each park for the two cities is:
City A: 7.5
City B: 7.3
Hence, It is Much greater for City A than for City B.
And, The range for the number of acres for parks for the two cities is : 8
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The table shows the number of acres for each park in the two cities.
City A: 6 9 10 7 10 10 2 5 8 8
City B : 5 10 8 11 7 12 6 5 4 5
For City A:
Minimum acre of park = 2
Maximum acre of park = 10
Hence, Range = Maximum-Minimum
Range = 10-2
Range = 8
Now mean is calculated as:
Mean = 6 + 9 + 10 + 7 + 10 + 10 + 2 + 5 + 8 + 8 / 10
= 75/10
= 7.5
For City B:
Minimum acre of park = 4
Maximum acre of park = 12
Hence, Range = Maximum-Minimum
Range = 12-4
Range = 8
Now mean is calculated as:
Mean = 5 + 10 + 8 + 11 + 7 + 12+ 6 + 5+ 4 + 5 / 10
= 73/10
= 7.3
Hence, The mean number of acres for each park for the two cities is:
City A: 7.5
City B: 7.3
Hence, It is Much greater for City A than for City B.
And, The range for the number of acres for parks for the two cities is : 8
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Translate the sentence into an equation. Twice the difference of a number and 4 equals 5 . Use the variable x for the unknown number.
Answer:
2(x-4) = 5
Step-by-step explanation:
2(x-4) = 5 since the difference of a number and 4 translates to x-4 and twice the difference translates to 2(x-4).
The required equation is, 2(x-4) = 5
What is equation ?
It is a mathematical statement which contains two algebraic expressions on both sides of an ' = ' sign.
Equation shows the equality between the expressions in left hand and right hand side.
What is the required equation ?According to the problem, the variable for the unknown number = x
Now we have to establish the equation.
Difference between x & 4 = (x-4)
Twice the difference between x & 4 = 2(x-4)
Twice the difference between x & 4 is equals to 5.
∴ The equation is, 2(x-4) = 5
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URGENT!!! WILL AWARD ALL POINTS Which expression is equivalent to sin(2β)sinβ for all values of β for which sin(2β)sinβ is defined?
Select the correct answer below:
2sin2β−tan2β
cot2β−2cos2β
1−tan2β
csc2β−2
2cosβ
Answer:
sin2b sin b
2 sin b cos b sin b
2 cos b sin^2 b
1−cos2b cos b
1- (2cos^2 b−1) cosb
2 cos beta
Answer:2sin =bahsyg=a=78sinb-7823sin= 1-tan2b
Choose the inequality in that represents the following graph
The inequality is determined by examining the graph, identifying the lines, their slopes and determining if they are increasing or decreasing. Positive slopes are for increasing lines and negative slopes are for decreasing lines. Inequalities should represent the identified lines and their slopes.
Explanation:From your question, it seems that there's a graph involved depicting certain lines and you're supposed to choose an inequality that represents the graph. As per the given information that line A is decreasing and line B is increasing, it sounds like these lines may represent an inequality on the coordinate plane. Consider the slope of line A and line B. If one is steeper than the other, the steeper slope has a larger absolute value. An increasing line indicates a positive slope, while a decreasing line indicates a negative slope. For example, if line A is y < -2x + 3 (negative slope, line decreasing) and line B is [tex]y > 5x + 1[/tex](positive slope, line increasing), the inequality would be [tex]y > 5x + 1 - y < -2x + 3.[/tex]For a precise and correct answer, you need to analyze the graph, identify lines, intercepts, slopes, and shading to form the correct inequality.
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how many different ways can you arrange four pictures on a wall if you want them in a horizontal straight line
Answer:
You can do it four ways for horizontal straight line using a ruler.
Step-by-step explanation:
i did was make a 2x2 grid, and then arrange the four pictures inside.
Final answer:
There are 24 different ways to arrange four pictures on a wall in a horizontal straight line, calculated using the factorial of the number of pictures (4!).
Explanation:
The question of how many different ways you can arrange four pictures on a wall if you want them in a horizontal straight line is a problem of permutations, which is a concept in mathematics. To determine the number of different arrangements, we calculate the factorial of the number of pictures. The factorial, represented by an exclamation mark (!), means that you multiply the number by every number below it down to 1. For four pictures, the calculation is 4! (which is 4 x 3 x 2 x 1).
The result is:
4 x 3 x 2 x 1 = 24Therefore, there are 24 different ways to arrange four pictures on a wall in a horizontal straight line.
What is the distance from A to B?
A) 7
B) 8
C) 15
D) 17
I’m not too sure
Answer:
A. 7
Step-by-step explanation:
count the squares
Answer:
The answer is A
Step-by-step explanation:
Each square on the grid is 1 unit, and the distance from A to B is 7 squares which is 7 units
Answer this for 20 pts and brainliest!!!!! (Please hurry up! "I am in a hurry!)
When there was no snow fall, the line would be flat ( horizontal).
There was no snow Between 3:30 pm and 2:00 pm.
Answer:
12:30 pm to 1:00 pm.
Step-by-step explanation:
Hope this helps you.
Mr. price drives 123 miles each day on his bus route he gets reimbursed .56 per every mile he drives. How much will mr. price reimbursed for 2 days of his bus route
he will be reimbursed 137.26 dollars for two days
Determine how many points the parabola has in common with the x-axis and whether it's vertex lies above, on, or below the x-axis.
Points "in common with the x-axis" are also known as the roots of the quadratic equation [tex]x^2-12x+12=0[/tex]. You can apply the quadratic root formula to determine the roots, and also to determine how many such roots there are. With a quadratic (whose graph is a parabola), there can be maximum of 2 roots. But under certain circumstances, there may be only one or no such root.
The root formula for a generic quadratic [tex]ax^2+bx+c[/tex] is as follows:
[tex]x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The expression [tex]b^2-4ac[/tex] under the square root is called the determinant. It is called so because it determines the number of real roots. If the determinant value is > 0, there will be 2 roots (and so the parabola will cross the x-axis in 2 points), if its value is =0, there will be only a single root (the the parabola will touch the x-axis in exactly one point), and, finally, if its value is < 0, the quadratic has no real root (andthe parabola will not have any x-intercepts).
So, let's take a look:
[tex]b^2-4ac= (-12)^2-4\cdot 1\cdot12=96[/tex]
This means the parabola will intercept the x-axis at 2 points, two real roots.
Since the coefficient of the quadratic term is positive (a=1), the parabola is oriented "open-up." But since we already know the parabola intercepts in two points, the fact that it is open-up implies now that the vertex must lie below the x-axis (otherwise it could not intercept it).
The number of common points between a parabola and the x-axis is determined by the discriminant of its equation, while the position of its vertex relative to the x-axis is determined by the value of y at the vertex. A positive discriminant yields two points of intersection, zero yields one, and negative yields none. The vertex's position can be above, on, or below the x-axis depending on whether k in its vertex form is positive, zero, or negative.
To determine how many points a parabola has in common with the x-axis, we look for the solutions to the parabolic equation when y is set to zero. The number of intersections corresponds to the number of real solutions to this equation. If the parabola's equation is given in the standard form y = ax2 + bx + c, we can use the discriminant (b2 - 4ac) to find out how many times the parabola touches the x-axis. If the discriminant is positive, the parabola intersects the x-axis at two distinct points; if it is zero, the parabola touches the x-axis at exactly one point (the vertex); and if it is negative, the parabola does not intersect the x-axis at all.
The vertex of the parabola lies above, on, or below the x-axis depending on the value of y at the vertex. In the vertex form of a parabola, y = a(x - h)2 + k, where (h, k) is the vertex, if k is positive, the vertex lies above the x-axis; if k is zero, the vertex is on the x-axis; and if k is negative, the vertex lies below the x-axis. Typically, the coefficient a determines the direction of the parabola opening—upwards if a is positive, and downwards if a is negative, but this does not affect the vertical placement of the vertex relative to the x-axis.