Answer:
W+100=M
Explanation:
So the problem says there will always be 100 more men than woman. So that would mean you just have to add the amount of women and 100 to find the number of men. For example, if there are 3 women, there will be 103 men.
Hope this helps ;)
Certainly! To create an algebraic equation representing the given situation, we can use the information that there are 100 more men than women at the school.
Let's use the variables:
- \( W \) to represent the number of women
- \( M \) to represent the number of men
The key piece of information that we have is that the number of men is 100 more than the number of women. We can write this relationship with an equation:
\[ M = W + 100 \]
This equation states that if you take the number of women (\( W \)) and add 100 to it, you will get the number of men (\( M \)). It directly translates the information given into an algebraic equation, showing the relationship between the number of women and the number of men in the school.
Which of the following functions grows at the same rate as ((x^4)+x)^(1/2)
A. X
B. X^2
C. X^3
D. X^4
Answer:
B
Step-by-step explanation:
(x⁴ + x)^½
As x approaches infinity, x⁴ becomes much larger than x. So:
(x⁴ + x)^½ ≈ (x⁴)^½ = x²
So x² grows at the same rate as (x⁴ + x)^½.
Triangle ABC has vertices A(–2, 3), B(0, 3), and C(–1, –1). Find the coordinates of the image after a reflection over the x-axis
Answer:
A'(-2, -3) B'(0, -3) C'(-1, 1)
Step-by-step explanation:
change the signs for the Y coordinates because you are reflecting over the X-Axis. so 3 becomes -3, and -1 becomes 1. leave the X coordinates unchanged.
The reflection triangle ABC over the x axis is A'(–2, -3), B'(0, -3), and C'(–1, 1).
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation
If a point A(x, y) is reflected over the x axis, the new point is at A'(x, -y).
The reflection of A(–2, 3), B(0, 3), and C(–1, –1) over the x axis is A'(–2, -3), B'(0, -3), and C'(–1, 1).
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What is the relationship between angles A and B
Answer:
They are complementary
Step-by-step explanation:
Complementary angles sun to 90°
∠A + ∠B = 59° + 31° = 90° ← complementary
Samuel is in charge of ordering lunch..
Answer:
The correct answer is D.
The correct identity Samuel should use is: D. (20 x 6) + (4 x 6) = 24 x 6
To find the total cost of ordering 24 lunch specials at $6.00 each, Samuel needs to compute 24×6.
The distributive property states that:
a×(b+c) = (a×b)+(a×c)
In this problem, we can break down 24 into 20 and 4, and then apply the distributive property.
This gives us:
24×6 = (20+4)×6
= (20×6) + (4×6)
what is the explicit formula for this sequence? -7,-3,1,5
Answer:
[tex]a_{n}[/tex] = 4n - 11
Step-by-step explanation:
These are the terms of an arithmetic sequence with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
d = - 3 - (- 7) = 1 - (- 3) = 5 - 1 = 4
and a₁ = - 7, hence
[tex]a_{n}[/tex] = - 7 + 4(n - 1) = - 7 + 4n - 4 = 4n - 11
The explicit formula for the arithmetic sequence -7,-3,1,5 is an = -7 + (n-1)(4), where n is the position of the term in the sequence.
The student is asking for the explicit formula of the sequence -7,-3,1,5. This is an arithmetic sequence, where each term increases by a constant difference. The common difference (d) can be found by subtracting any term from the following term; for instance, -3 - (-7) = 4. To find the explicit formula, we'll denote the first term of the sequence as a1 which is -7. The explicit formula for an arithmetic sequence is an = a1 + (n-1)d. Substituting our values in, we get an = -7 + (n-1)(4).
The border line of the linear inequality 4x+7y<5 is dotted. True or false
Answer:
True
Step-by-step explanation:
The region defined by the following inequality
[tex]4x+7y<5[/tex]
is delimited by the line: [tex]4x+7y=5[/tex]
Therefore the points that are on the line that delimits the region are those where [tex]4x+7y=5[/tex]
Since the symbol "<" represents only the values that are smaller and excludes those that are greater or equal, then the points where [tex]4x+7y=5[/tex] are not included in the region. This is represented by drawing a dotted line
The statement is true; the border line of the inequality 4x+7y<5 is drawn as a dotted line because it does not include the boundary points as part of the solution set.
The statement that the border line of the linear inequality 4x+7y<5 is dotted is true. When graphing a linear inequality, the border line is typically solid if the inequality includes the equality (≤ or ≥), which indicates that the points on the line are included in the solution set. However, when the inequality does not include equality ( < or > without the line underneath), as in 4x+7y<5, the border line is drawn as a dotted line, signifying that points on the line are not part of the solution set. Therefore, the given statement is correct and the border line should indeed be dotted.
What is the y intercept of the line whose equation is y=1/x-3
Answer:
x-intercept: (1/3,0)
y-intercept: none
Answer:
-3
Hope this helps! Please mark as brainliest.
Alex, his two sisters, and his dad are going to a movie. Alex
and his sisters can get student tickets. Adult tickets are three
dollars more than student tickets. Which algebraic expression
represents how much Alex and his family will spend to go to
the movies?
Rational numbers are _____ natural numbers always sometimes never
Answer:
The correct answer would be B, Sometimes.
Step-by-step explanation:
Rational numbers are sometimes the natural numbers.
Rational numbers are the numbers that can be expressed as a quotient or fraction of two integers. Rational numbers can be in the form of decimals or natural numbers. Natural Numbers are the normal integers like 1, 2, 3, 4, etc. So the resulting numbers of any equation will give a rational number or a natural number. So it is so correct to say that rational numbers are sometimes the natural numbers.
please help me! asap thank you ill mark brainliest
8n + 12 +(-9) -(-6n)
12 + -9 = 12-9 = 3
8n - (-6n) = 8n + 6n = 14n
The equation becomes 14n + 3
Miguel’s bank is offering savings accounts with 4% interest compounded continuously, If Miguel invests $500 how much will he have after 2 years
Answer:
After 2 years Miguel will have in his account $541.64
Step-by-step explanation:
The formula for calculating compound interest continuously is:
[tex]A=pe^{rt}[/tex]
Where A is the amount of money obtained after t years.
r is the compound interest rate and p is the initial amount
In this case we have that:
[tex]p=\$500\\\\t=2\ years\\\\r=0.04[/tex]
Then we must find the final amount A
[tex]A=500e^{0.04(2)}[/tex]
[tex]A=\$541.64[/tex]
NEED NOW!!!
Which equation represents a linear function?
y – 2 = –5(x – 2)
x + 7 = –4(x + 8)
y – 3 = y(x + 4)
y + 9 = x(x – 1)
Answer:
The first one: y - 2 = -5(x - 2)
Step-by-step explanation:
Answer:
the function y – 2 = –5(x – 2) is linear.
Step-by-step explanation:
We need to find the correct option from provided options which represents a linear function
Since, the linear equation is in the form of y=mx+c where m is slope of line.
In first part y – 2 = –5(x – 2)
Simplify, the function
[tex]y -2 = -5x + 10[/tex]
Add both the sides by 2, in above equation
[tex]y = -5x +12[/tex]
This function is in the form of y=mx+c
so, this is a linear function
In second part x + 7 = –4(x + 8)
Simplify, the function
[tex]x+7= -4x+32[/tex]
subtract both the sides by 7, in above expression
[tex]x= -4x+32-7[/tex]
[tex]x= -4x+25[/tex]
add both the sides by 4x,
[tex]x +4x= 25[/tex]
[tex]5x= 25[/tex]
divide both the sides by 5,
[tex]x =5[/tex]
This is not in the form of y=mx+c
so, this is not a linear function
In third part y – 3 = y(x + 4)
Simplify, the function
[tex]y-3= yx+4y[/tex]
add both the sides by 3,
[tex]y= yx+4y+3[/tex]
This is not in the form of y=mx+c
so, this is not a linear function
In fourth part y + 9 = x(x - 1)
Simplify, the function
[tex]y+9= x^{2}-x[/tex]
subtract both the sides by 9,
[tex]y= x^{2}-x-9[/tex]
This is not in the form of y=mx+c
so, this is not a linear function
Therefore, the function y – 2 = –5(x – 2) is linear.
State a true conclusion. 1) If a ● b = 0, then a = 0 or b = 0 2) 3x = 0 Conclusion:
Answer:
Conclusion: x = 0
Step-by-step explanation:
given: If a ● b = 0, then a = 0 or b = 0
then for 3x = 0, either 3 = 0 (not possible because 3 is obviously not zero) or x = 0 (answer)
What is the slope of a line that is perpendicular to the line represented by the equation y=-2/5x+4/5
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
recall for a line whose equation is
y = mx + b,
the slope of this line is m
the slope of a line that is perpendicular to this line is -[tex]\frac{1}{m}[/tex]
in this case,
m = -[tex]\frac{2}{5}[/tex]
hence -[tex]\frac{1}{m}[/tex]=[tex]\frac{5}{2}[/tex]
The slope of a line that is perpendicular to the line represented by the equation y = -2/5x + 4/5 is 5/2 .
What is the slope of a line perpendicular to a given line ?The slope of a line perpendicular to a given line is equal to the negative reciprocal of the slope of the given line.
Let the given line is y = mx + c , where the slope of the line is m and the y-intercept is c .
The slope of the line perpendicular to this given line is equal to -1/m .
How to find the slope of the given line ?Given equation of line is y = -2/5x + 4/5 .
The slope of the given line is -2/5 .
Thus, the slope of the line perpendicular to this given line is equal to
= -(-5/2) = 5/2 .
Therefore, the slope of a line that is perpendicular to the line represented by the equation y = -2/5x + 4/5 is 5/2 .
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Can someone please help me
Multiply by 28 for the ounces
1*28= 28
3*28=84
Divide by 28 for 140
140/28= 5
Answers:
84 grams
5 ounces
What are the length and width of a rectangle if
the length is 10 meters longer than the width and the
area is 56 square meters?
Answer:
4 is the width, 14 is the length
If f(x)=0. 5(3-x), what is the value of f(-3)?
3
1. 5
0. 5
0
[tex]
f(x)=0.5(3-x) \\
f(-3)=0.5(3-(-3)) \\
f(-3)=0.5\cdot6 \\
f(-3)=3
[/tex]
Hope this helps.
r3t40
What is the value of log^7343
Answer:
3.86 (or 3.9)
Step-by-step explanation:
There's a logarithm function on a graphing calculator
What is the change due if a $50 bill is tendered for a charge of $9.76?
Answer:$40.24
Step-by-step explanation:
Answer:
$40.24
Step-by-step explanation:
You just have to do $50.00 - $9.76= $40.26
Use the discriminant to describe the roots of each equation. Then select the best description. 2m2 + 3 = m double root real and rational roots real and irrational roots non-real roots
Answer:
The roots of the equation 2m²+3=m are non-real roots.
Step-by-step explanation:
Given equation:
2m²+3=m
2m²-m+3=0
Here, from the equation we can obtain the following values:
a = 2, b = -1, c = 3
Discriminant of an equation is given as:
D = b²-4ac
= (-1)²-4(2)(3)
= 1 - 21
= -20
Discriminant can tell what kinds of roots the equation have.
In our case, the discriminant is less than 0.
When D < 0, the roots of the equation are complex conjugates.(non-real)
Answer:
Imaginary root
Step-by-step explanation:
-1^2-4(2*3)
1-4*6
1-24
-23
-23 has no square root or it will be a decimal.
Question 1 of 10
Which of the following functions is graphed below?
The function that is graphed below is y = |x - 8| + 2.
Option A is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto-one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The graph of the function y = |x - 8| + 2 is a V-shaped graph with the vertex at the point (8, 2).
The function is defined as the absolute value of the difference between x and 8, plus 2.
When x is less than 8, the expression inside the absolute value bars, (x - 8), is negative, so the function becomes y = -(x - 8) + 2.
Simplifying this expression, we get y = -x + 10, which is the equation of a line with a slope of -1 and a y-intercept of 10.
This line goes downwards to the left of the vertex (8, 2).
When x is greater than 8, the expression inside the absolute value bars, (x - 8), is positive, so the function becomes y = (x - 8) + 2.
Simplifying this expression, we get y = x - 6, which is the equation of a line with a slope of 1 and a y-intercept of -6.
This line goes upwards to the right of the vertex (8, 2).
At the vertex (8, 2), the function takes the minimum value of 2.
Overall, the graph of the function y = |x - 8| + 2 is a V-shaped graph with the vertex at (8, 2), and two lines with slopes of -1 and 1 on either side of the vertex. The graph is symmetrical about the vertical line x = 8.
Thus,
The function that is graphed below is y = |x - 8| + 2.
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Sally's total restaurant bill, including 10% tax and a $3 tip, came to $19.60. What percent tip did she leave the server? Round to nearest tenth
Step-by-step explanation:
[tex]19.60 - 3 = 16.60 \\ \frac{3}{16.60} = 0.2206 \\ 0.2206 \times 100 = 22.06\%[/tex]
What is the slope of the line graphed below ? (1,1) (3,2)
Answer:
[tex]m = \frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
[tex]\frac{2-1}{3-1}[/tex]
[tex]2-1 = 1\\ 3-1=2[/tex]
[tex]m = \frac{1}{2}[/tex]
For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
We have two points through which the line passes:
[tex](x_ {1}, y_ {1}) :( 1,1)\\(x_ {2}, y_ {2}) :( 3,2)[/tex]
Substituting:
[tex]m = \frac {2-1} {3-1} = \frac {1} {2}[/tex]
Thus, the slope of the line is [tex]\frac {1} {2}[/tex]
Answer:
Option C
Samantha wants to use her savings of $1,150 to buy shirts and watches for her family. The total price of the shirts she bought was $84. The watches cost $99 each. Choose the inequality that would be used to solve for the maximum number of watches Samantha can buy with her savings.
A.99 + 84x ≤ 1,150
B. 99x + 84 ≥ 1,150
C.99x + 84 ≤ 1,150
D.99 + 84x ≥ 1,150
The required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Given;
The cost of the shirt she bought = $ 84,
And the cost of each watch she bought = $ 99,
Now Suppose she bought x watches,
So, the cost of x watches = 99x dollars,
Also, her total spending = 84 + 99x
Since she has a total budget of $1,150,
That is her spending can not be exceed $ 1,150, ( or spending must be less than or equal to $ 1150 )
⇒ 99x + 84 ≤ 1,150
Hence the required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.
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Need to find surface area please help
so the trapezoidal prism is really 4 rectangles and 2 isosceles trapezoids.
so we can simply get the area of each of those shapes and sum them up and that's the area of the prism.
[tex]\bf \stackrel{\stackrel{\textit{front and back}}{\textit{trapezoids}}}{2\left[ \cfrac{6(4+12)}{2} \right]}+\stackrel{\stackrel{\textit{left and right}}{\textit{rectangles}}}{2(6\cdot 6)}+\stackrel{\textit{top rectangle}}{(4\cdot 6)}+\stackrel{\textit{bottom rectangle}}{(6\cdot 12)} \\\\\\ 6(16)+72+24+72\implies 96+168\implies 264[/tex]
write the expression in factored form. m^2-4
Answer:
(m-2)(m+2)
Step-by-step explanation:
a²-b²=(a-b)(a+b)
let m be a and 2 be b
m^2-2²=(m-2)(m+2)
For this case we must factor the following expression:
[tex]m ^ 2-4[/tex]
According to the formula of difference of squares we have:
[tex]a ^ 2-b ^ 2 = (a + b) (a-b)[/tex]
We have to:
[tex]a = m\\b = 2[/tex]
So, we have:
[tex]m ^ 2-4 = (m + 2) (m-2)[/tex]
Answer:
The factored expression is:[tex]m ^ 2-4 = (m + 2) (m-2)[/tex]
The distance around the lake is 2 kilometers. If
Elena wants to run 14 kilometers this week, how
many laps must she run around the lake
Answer:
7 laps
Step-by-step explanation:
Take the total distance and divide by the distance around the lake to determine how many laps she must run
14 km/2 km
7
She must run 7 laps
The perimeter of the scalene triangle is 60 cm. The length
of the longest side is 4 times that of the shortest side.
Which statements about the possible measures of the
sides are reasonable? Check all that apply.
The value of x can equal 40.
The longest side can equal 30 cm.
The shortest side can equal 7 cm.
The value of x can equal 25.
The shortest side can equal 5.
Answer:
Step-by-step explanation:
Perimeter = 60 cm
longest side = 4* shortest side (x)
longest side = 4x
shortest side = x
third (intermediate side=y= 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x must be less than 7.5 cm.
Now if we look at the options both 7 and 5 are less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is not the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)....
Find the area of a trapezoid with a height of 23, base 1 of 10 and base 2 of 18
Find the length of the missing side. Round answers to the nearest tenth (one decimal).
Right triangle with base=6.3 mi and hypotenuse=15.4 mi
Answer:
14.1 mi
Step-by-step explanation:
Use pythagorean theorem (a^2 + b^2 = c^2)
a = base
b = side
c = hypontenuse
then just plug the numbers into the formula -----> 6.3^2 + b^2 = 15.4^2
then subtract 6.3^2 from both sides ----> b^2 = 15.4^2 - 6.3^2
solve ------> b^2 = 197.47
Square root both sides and you get b = 14.1 mi as your answer
Answer:
14.1
Step-by-step explanation: