The ratio of men to women working for a company is 4 to 3 . if there are 39 women working for the company, what is the total number of employees?
A museum has a wax sculpture of a historical village. The scale is 1.5:8. If the height of a hut in the sculpture is 5 feet, how tall is the original hut to the nearest whole foot?
Let us say that x is the real height of the original hut, therefore we can establish the equation:
5 : x = 1.5 : 8
5 / x = 1.5 / 8
Solving for x:
x = 5 * 8 / 1.5
x = 40 / 1.5
x = 26.67 ft
What is the area of the rectangle?
60 units²
66 units²
70 units²
74 units²
The question does not provide enough specifics to calculate the area of the rectangle. Generally, you find a rectangle's area by multiplying its length by its width.
Explanation:Unfortunately, the question seems to have provided the potential answers for the area of the rectangle, but no specifics about the rectangle itself are given. Typically, you would find the area of a rectangle by multiplying the length by the width. For example, if a rectangle had a length of 10 units and a width of 7 units, you would calculate the area by multiplying together these two figures (10 units * 7 units), which equals 70 units².
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|4v-16|=12 solve for v
write the expression in factored form. 81m^2-49
The function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles
Answer: Domain= 0[tex]\leq[/tex]x[tex]\leq[/tex]20
Range= 2.8[tex]\leq[/tex]y[tex]\leq[/tex]72.8
Step-by-step explanation:
CREDIT:ANSWER ABOVE ME,HOPE THIS HELPS. Burrgh
What is the mode of this data set? {41, 43, 45, 3, 11, 23, 24, 27, 29, 45, 12, 19, 22, 49, 25} 25 27.8 45 46 49
How many segments have the midpoint (2, -3).Explain your reasoning.
An infinite number of line segments can have the midpoint (2, -3) in the coordinate plane, because you can have infinite pairs of points such that their midpoint is (2, -3).
Explanation:In the coordinate plane, an infinite number of line segments can have the midpoint (2, -3). The reasoning behind this is that a midpoint is the point that is equidistant from the end points of a line segment. You can have infinite pairs of points in a coordinate plane such that their midpoint is (2, -3). For instance, the points (4, -1) and (0, -5) have the midpoint (2, -3), and so do the points (2, 7) and (2, -13). This can similarly be done for an infinite number of other sets of points.
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The answer is that there are infinitely many line segments that have the midpoint (2, -3).
A midpoint of a line segment is the point that divides the segment into two equal parts.
Let's consider a Cartesian coordinate system where the midpoint is given as (2, -3).
Any line segment with the midpoint (2, -3) would have a segment bisecting it.
So, it's not just one line segment that has this midpoint, but an infinite number of line segments.
To explain this, consider any line segment in the coordinate plane.
point A : one side of the midpoint point B: the other side.The midpoint of AB will always be (2, -3) if the segment is positioned such that it's equally distant from (2, -3).
We can slide and rotate this line segment around the midpoint (2, -3) while keeping it the same length, and the midpoint will always remain (2, -3).
So, the answer is that there are infinitely many line segments that have the midpoint (2, -3).
I need solve each system by substitution 4x+2y=7;y=5x
To solve the system of equations by substitution, substitute the value of y from the second equation into the first equation. The solution is x = 1/2 and y = 5/2 or 2.5.
Explanation:To solve the system of equations by substitution, we substitute the value of y from the second equation into the first equation.
Given that y = 5x, we can substitute this value into the first equation:
4x + 2(5x) = 7
Simplifying the equation:
4x + 10x = 7
Combine like terms:
14x = 7
Divide both sides by 14:
x = 7/14
Simplify:
x = 1/2
Now substitute this value of x back into the second equation to find y:
y = 5(1/2)
Simplify:
y = 5/2 or y = 2.5
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Steven wants to buy a $495 bicycle. Steven has no money saved, but will be able to deposit $40 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
A. 18 weeks
B. 12 weeks
C. 14 weeks
D. 15 weeks
What is the expression x - 4 represents a negative integer. What integers could X represent?
Answer:
Integers between (-∞, 4)
Step-by-step explanation:
Negative Integer is integers whose value is less than 0 i.e. -1, -2, -3, -4,.... so on.
The expression x - 4 will be negative if x is less than 4.
For Example, if we take integers greater than 4 or equal to 4 as the value of x then,
5 - 4 = +1 which is not a negative integer
4 - 4 = 0 which is again not a negative integer.
But, if we take x as less than 4 then we get,
2 - 4 = -2 i.e. negative integer
-3 - 4 = -7 i.e. also negative integer.
So, for all value of x which is less than 4, we will get a negative integer.
You see a flash of lightning striking some distance away, and five seconds later you hear the clap of thunder. how many miles away did the lightning strike? round your answer to the nearest mile
There is about 1129 feet per second on the speed of sound in the stormy day.
Find the distance in feet:
1129 * 5 = 5645 ft
Change to miles: 1 mile is equal to 5280 foot
5645 / 5280 = 1 mile
$48 increase by 25%
Consider the following data set: 3, 4, 6, 7, 9, 9, 11. Identify a number you could add to the set to keep the mean smaller than the median.
Use the interactive tool to graph the line given the following information: coordinates (1,–3) slope of –2 Based on your investigation, what is the value of b for the point (0,b)?
Finding the equation of the line, it is found that the value of b is -1.
----------------------------
The equation of a line is given by:
[tex]y = mx + b[/tex]
In which:
m is the slope.b is the y-intercept.----------------------------
Slope of -2 means that [tex]m = -2[/tex], and thus, [tex]y = -2x + b[/tex].It goes through point (1,-3), which means that when [tex]x = 1, y = -3[/tex]. We use this to find b.[tex]y = -2x + b[/tex]
[tex]-3 = -2(1) + b[/tex]
[tex]b = -3 + 2 = -1[/tex]
The value of b is -1.
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Which graph represents the solution set of the system of inequalities?
{y>−2x−2
y ≤ x+4
Answer:
Its the first gragh
Step-by-step explanation:
Graph D is a correct choice.
We have a set of inequalities -
y > − 2x − 2
y ≤ x + 4
We have select the graph that represents the solution set of the system of inequalities.
What is an Inequality in mathematics ?An inequality compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.
According to the question, we have -
y > − 2x − 2Let → y = -2x - 2
Now, plot the graph of the line → y = - 2x - 2 with a Dotted line ( > is a strict inequality).
Assume a point (0,0) -
0 > - 2 x 0 - 2
0 > -2
Which is true, hence shade the area where the point (0, 0) lies.
y ≤ x + 4Let → y = x + 4
Now, plot the graph of the line → y = x + 4 on the graph.
Assume a point (0,0) -
0 ≤ 0 + 4
0 ≤ 4
Which is true, hence shade the area where the point (0, 0) lies.
Refer to the image attached for final graph - the area under the Red thick line is common to both and is the solution set of system of inequalities.
Hence, Graph D is a correct choice.
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Find all the points on the curve y = 4x^4 − 8x^2 + 16x + 7 such that the tangent line to the curve is parallel to the line 16x − y + 5 = 0.
Ivan needs to memorize words on a vocabulary list for french class. he has memorized 30 of the words, which is two-thirds of the list. how many words are on the list
Which two expressions are used to solve this problem?
Elliot has 97 beads. He keeps 25 beads and gives an equal number of beads to each of 8 friends. How many beads did Elliot give to each friend?
Choose exactly two answers that are correct.
A.
25 × 8
B.
72 ÷ 8
C.
97 + 25
D.
97 – 25
Help me with #16, and explain. Please
2a-9 +a = 90 degrees
3a -9 = 90
3a = 99
a = 33
angle GEF is 33 degrees
What is the value of the expression 4x+y2y−x when x = 2 and y = 4? a. 2 b. 3 c.4 d.6
By substituting the values x=2 and y=4 into the given equation, we get a result of 70 which does not match with any of the provided options.
Explanation:The value of the expression 4x + y-2y−x when x = 2 and y = 4 can be determined by substituting these values into the expression. By doing so, we get:
4 * 2 + 4^2 * 4 - 2 = 8 + 64 - 2 = 70
So, the correct value is 70, which is not present in the provided options (a. 2 b. 3 c.4 d.6). Maybe there is a misunderstanding or typo in the question or options. The way it's presented right now, the correct answer would be none of the above.
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Which type of statement switches and negates the hypothesis and the conclusion of the original conditional statement?
Question 1 options:
Converse
Inverse
Contrapositive
Biconditional
Solve the equation with rational exponents (x-4)^2/3= 9
The solution to the given expression is x = 31.
In order to simplify an expression with exponents of the same base, we would have to apply the properties of multiplication of exponents with the same base;
[tex](k^m)\cdot(k^{n})=k^{m+n}[/tex]
Based on the properties of roots of exponents, we have the following:
[tex]\sqrt[a]{x^b} =x^{\frac{b}{a} }[/tex]
By raising both sides of the given expression to the reciprocal of the exponent, we have:
[tex](x-4)^{\frac{2}{3} }=9\\\\((x-4)^{\frac{2}{3} })^{\frac{3}{2} }=9^{\frac{3}{2} }\\\\x-4=(9^{\frac{1}{2} })^{3 }\\\\x-4=(3)^{3 }\\\\[/tex]
x - 4 = 27
x = 27 + 4
x = 31
|X+4|=4
|X+4|=-4
Plz help
|X+4|=4
x = 4-4 = 0
|X+4|=-4 no solution since the lines are absolute value which would be a positive number
The scatter plot shows how many desks and computers were found in 12 diffirent offices. how many offices had fewer than 5 desks
Answer:
5 offices had fewer than 5 desks
Step-by-step explanation:
Clearly from the scatter plot we could see that 5 offices have lesser than 5 desks.
The number of desks are represented by the horizontal axis and the number of computers are represented by the vertical axis.
so by looking at the scatter plot we could see that the five points are before 5 on the horizontal axis i.e. we have to count all those points such that the desk are less than 5 i.e. ( when the desks are 0,1,2,3 and 4).
Harry and Selma start driving from the same location. Harry drives 42 miles north while Selma drives 144 miles east. How far apart are Harry and Selma when they stop?
An investment club used funds totaling $200,000 to invest in a bio-tech company and in an ethanol plant, with hopes of earning 11% and 16% annual simple interest, respectively. Their hunch paid off. The club made a total of $26,000 interest the first year. How much was invested at each rate? $ at 11% = $ at 16% =
All of the following are equivalent except 4 x y , 4 + y , 4y, (4)(y)
Write the sum using summation notation, assuming the suggested pattern continues. -8 - 3 + 2 + 7 + ... + 67
summation of the quantity negative eight plus five n from n equals zero to fifteen
summation of negative forty times n from n equals zero to infinity
summation of negative forty times n from n equals zero to fifteen
summation of the quantity negative eight plus five n from n equals zero to infinity
Final answer:
Explanation of summation notation using examples and patterns for different expressions.
Explanation:
Summation notation:
First sum: The sum is calculated using the formula: Σ(-8 + 5n) from n = 0 to 15.
Second sum: The sum can be expressed as Σ(-40n) from n = 0 to ∞ (infinity).
Third sum: The sum is Σ(-40n) from n = 0 to 15.
Fourth sum: The sum is given by Σ(-8 + 5n) from n = 0 to ∞.
Mr. Delong's drama class is planning a field trip to see a Mozart's famous opera Don Giovanni. Tickets cost $39 each, and there are 23 students and 2 teachers going on the field trip. Write and evaluate an expression to find the groups total ticket cost.
The total ticket cost for Mr. Delong's drama class to attend Mozart's opera Don Giovanni, with 23 students and 2 teachers at $39 per ticket, is $975.
To calculate the total ticket cost for Mr. Delong's drama class field trip to see Mozart's opera Don Giovanni, we need to combine the number of students and teachers going to find out how many tickets in total need to be purchased. There are 23 students and 2 teachers, so that's a total of 25 people needing tickets. The cost per ticket is $39.
The expression to find the total ticket cost is (Number of Students + Number of Teachers) x Cost per Ticket, which translates to (23 + 2) x $39.
Doing the math: (25) x $39 = $975.
Therefore, the group's total ticket cost for attending the opera will be $975.