Answer:
average yearly salary of an individual whose final degree is a masters: $ 66 thousand
average yearly salary of an individual whose final degree is a bachelors: $ 56 thousand
Explanation:
You can set a system of equation using the following steps:
1. Name the variables:
average yearly salary of an individual whose final degree is a masters: xaverage yearly salary of an individual whose final degree is a bachelors: y
2. Set the equations that relate the variables:
the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:
equation (1): x = 2y - 46
combined, two people with each of these educational attainments earn $122 thousand:equation (2): x + y = 122
3. Solve the system:
x = 2y - 46 . . . equation (1)x + y = 122 . . . equation (2)Substitute equation (1) into equation (2)
2y - 46 + y = 122Solve for y:
3y = 122 + 463y = 168y = 168 / 3y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).Subsitute the value on y in equation 1, to find the value of x:
x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.
Final answer:
Using a system of equations with the variables B (the average salary for a bachelor's degree) and M (the average salary for a master's degree), we solved to find that the average yearly salary for an individual with a bachelor's degree is $56,000 and with a master's degree is $66,000.
Explanation:
The problem at hand involves creating two algebraic equations to solve for the average yearly salaries of individuals with a bachelor's degree and a master's degree based on the provided information. Let the average yearly salary for an individual with a bachelor's degree be represented by B, and the salary for an individual with a master's degree be represented by M.
According to the problem, the average yearly salary of an individual with a master's degree is $46 thousand less than twice the salary of an individual with a bachelor's degree, so we can write the first equation as: M = 2B - 46.
The second equation comes from the fact that combined, their earnings amount to $122 thousand, so: B + M = 122.
Now, we can substitute the first equation into the second to solve for B: B + (2B - 46) = 122. Simplifying, we get 3B - 46 = 122. Adding 46 to both sides gives 3B = 168, and dividing by 3 yields B = 56. So, the average salary for someone with a bachelor's degree is $56,000.
To find the salary for a master's degree holder, we substitute B = 56 into the first equation: M = 2(56) - 46. That simplifies to M = 112 - 46, giving us M = 66. Hence, the average salary for someone with a master's degree is $66,000.
Carlos bought 5 tickets to a play for a total of
$20. The equation 5c = 20 can be used to find
the cost c in dollars of each ticket. How much
does each ticket cost?
Answer:
Each ticket cost 4dollars
WILL AWARD 100 POINTS PLUS BRAINLIEST IF RIGHT
The function represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period.
During Week 0, how many more specialty items were produced at the old factory than at the new factory? Explain.
Find and compare the growth rates in the weekly number of specialty items produced at each factory. Show your work.
When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory? Explain.
a)
During week 0, the number of specialty items produced at the old factory than at the new factory is 33
b)
Old factory
The growth rate from week 0 to week 1 is 20.
The growth rate from week 1 to week 2 is 22.
New factory:
The growth rate from week 0 to week 1 is 30.
The growth rate from week 1 to week 2 is 32.
c)
The weekly number of specialty items produced at the new factory exceeds the weekly number of specialty items produced at the old factory
in week 4.
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,
Old factory:
f(x) = 223 (1.09)^x
When x = 0,
f(0) = 223(1.09)^0 = 223(1) = 223
In zero weeks, the number of specialties produced is 223.
When x = 1,
f(1) = 223(1.09)^1 = 243.07 = 243
When x = 2,
f(2) = 223(1.09)^2 = 265.32 = 265
When x = 3,
f(3) = 223(1.09)^3 = 290.41 = 290
When x = 4:
f(4) = 223(1.09)^4 = 318.53 = 318
New factory:
(0, 190), (1, 220), (2, 252), (3, 290), (4, 337)
This means,
(0, 190)
In zero weeks, the number of specialties produced is 190.
Thus,
a)
During week 0, the number of specialty items produced at the old factory than at the new factory.
= 223 - 190
= 33
b)
The growth rates in the weekly number of specialty items produced at each factory.
Old factory:
The growth rate from week 0 to week 1 = (243 - 223)/(1 - 0) = 20/1 = 20
The growth rate from week 1 to week 2 = (265 - 243)/(2 - 1) = 22/1 = 22
New factory:
The growth rate from week 0 to week 1 = (220 - 190)/(1 - 0) = 30/1 = 30
The growth rate from week 1 to week 2 = (252 - 220)/(2 - 1) = 32/1 = 32
c)
The weekly number of specialty items produced at the new factory exceeds the weekly number of specialty items produced at the old factory
in week 4.
i.e
f(4) = 223(1.09)^4 = 318.53 = 318
(4, 337)
318 < 337
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Answer: if your question is the same as mine, it should be correct!
Step-by-step explanation:
(a) 40 more specialty items, as 230 (initial value at the Old Factory) minus 190 is 40.
(b) y2 – y1/x2 – x1
252-220/2-1
32
(c) The new factory seems to have a faster production rate.
(d) Week 3 is the week when the production is faster at the New Factory.
p(w)=230(1.1)^w
p(w)=230(1.1)^3
p(w)=230(1.33100)
p(w)= 306.13
At week 3 for the Old Factory, it seems that there is less production happening than the 3rd week at the New Factory.
hopefully this helped :3
A man drove x miles per hour for 3e hours and (2x-60) miles per hour for the next 4.75 hours. Express the total distance he traveled in terms of x
Answer:
A man drove x miles per hour for 3 hours and (2x-60) miles per hour for the next 4.75 hours.Express the total distance traveled in terms of x.
Total distance covered by the man in terms of 'x' = (12.5x-285)miles
Step-by-step explanation:
Given:
Speed of a man = 'x' miles/hour
Time taken = [tex]3[/tex] hour
So, distance = product of speed and time.
Distance covered in term of 'x' [tex]=(d_1=3x)[/tex]
Now,
Speed = [tex](2x-60)[/tex] miles/hour
Time taken= [tex]4.75[/tex] hours
Distance [tex](d_2)[/tex] = [tex](2x-60)\times 4.75[/tex]
= [tex](2x\times 4.75) -(60\times 4.75)[/tex]
= [tex](9.5x - 285)[/tex] miles
Total distance covered by the man = Summation of [tex]d_1[/tex] and [tex]d_2[/tex]
= [tex](9.5x-285+3x)[/tex]
= [tex](12.5x-285)[/tex] miles
So the total distance covered by the man in terms of 'x' = (12.5x-285) miles.
pls help me its easy but im lazy
Answer: Volume = a^4 * b^6
Step-by-step explanation:
Volume = (a^2*b)*(a*b^2)*(a*b^3)
Volume = a^2 * b * a * b^2 * a * b^3
Volume = a^4 * b^6
A trapezoid was broken into a rectangle and a triangle. A trapezoid is broken into a rectangle and a triangle. The rectangle has a base of 8 centimeters and a height of 6 centimeters. The triangle has a base of 2 centimeters and a height of 6 centimeters. What is the length, b, of the base of the triangle?
Answer:
4 cm
Step-by-step explanation:
this is the answer on egde:)
Answer: 2
Step-by-step explanation:
I got it right on a unit test review
The expression 3 1/2x+18 represents the perimeter of the rectangle shown. Write an expression that represents the length of the rectangle.
Answer:the answer is a
Step-by-step explanation:
Answer:
[tex]1\frac{1}{2}x + 4[/tex]
Step-by-step explanation:
We are given the Perimeter: P = Perimeter[tex]3\frac{1}{2}x + 18[/tex] in decimal 3.5x+18
we know that a Perimeter is equal to all sides added up: S1+S2+S3+S4=P
we know that this is a rectangle so that means that it has 4 sides and two sides are the same and the other 2 are the same.
We are given the the height on the image
Height: H = [tex]\frac{1}{4}x + 5[/tex] in decimal 0.25x + 5
That height is one side so we know another of the sides is the same.
Perimeter is equal to all sides added up. So we have to subtract the sides to find out each ones measurements.
(Height x 2) + (Width x 2) = Perimeter
Therefore we know the height which is given on the image is 0.25x+5 so that times 2 = 0.5x+10 (height x 2)
so now we can subtract the heights from the perimeter.
3.5x + 18
- 0.5x + 10
--------------------
3x + 8
So we got rid of both heights. Now we are left with our two lengths:
3x+8 = (length x 2)
To get the length of one side we divide that by 2 because there are 2 sides that have the same length and get 1.5x+4 in fractions that is:
[tex]1\frac{1}{2}x + 4[/tex]
I hope this helped you or anyone else that needs the answer :)
1/4x - 3/4x = 3 - 1/2x
Answer:
No solution.
Step-by-step explanation:
1/4x-3/4x=3-1/2x
-2/4x=3-1/2x
-1/2x+1/2x=3
0=3
no solution
If f( n ) = - 5 n - 2, then f(3) is
Answer:
-17
Step-by-step explanation:
f(n)=-5n-2
f(3)=-5(3)-2
f(3)=-15-2
f(3)=-17
A quadrilateral has the following coordinates:
Point A: (4, 7)
Point B: (–4, 7)
Point C: (–4, –7)
Point D: (4, –7)
Enter the length of side CD.
Answer:
8 units
Step-by-step explanation:
-4 is 4 units from the y-axis
4 is 4 units from the y-axis.
4 + 4 = 8 units
Have a great day :D
Evaluate the expression when y=-6.
y² + 7y - 5
When y is equal to -6, the evaluation of the formula [tex]y^2 + 7y - 5[/tex] is -11.
Explanation:In order to assess this mathematical statement when y=-6, we substitute -6 for y in the expression y² + 7y - 5.
In the expression, swap out y for -6. This gives us (-6)² + 7(-6) - 5.Total up each component. 36, 42, and 5 are the results. Addition and subtraction are to be done left to right. 36 - 42 therefore equals -6, and -6 - 5 equals -11.
This evaluation's outcome is a score of -11.
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A kite has a string that is 400 feet long, if the kite makes a 42 degree angle with the ground, whats the horizontal distance between the kite and its flyer?
Answer:
297.26 feet to the nearest hundredth.
Step-by-step explanation:
We use the cosine ratio here because we know the hypotenuse and need the adjacent side.
cos 42 = adj / hyp
= x / 400
x = 400 cos 42
x = 297.26 feet.
Use the Distributive
Property to express
28 + 56
Answer:
Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
For example, express 36 + 8 as 4 (9 + 2).
Which equation shows the correct use of the distributive property?
-4(3/2x-1/2)=-15
1a. 6x+4=-15
2b. 2x-1/2=-15
3c. -6x-2=-15
4d. -6x+2=-15
Answer: 4
Step-by-step explanation:
Multiply 4 by 2/3 and 1/2 (calculator) or you can put 4 like 4/1 than multiply 4/1 *3/2 and 4/1 * 1/2
Top times top and bottom times bottom
The equation which shows the correct use of the distributive property is - 6x + 2 = -15
The Distributive Property is an algebraic property which is used to multiply a single term and two or more terms inside a parenthesis.Given:
-4(3/2x - 1/2) = -15
multiply separately
-4(3/2x) -4(-1/2) = -15
-12/2x + 4/2 = -15
- 6x + 2 = -15
solve for x
-6x = -15 - 2
-6x = -17
x = -17/-6
x = 2.83
Therefore, the equation which shows the correct use of the distributive property is
- 6x + 2 = -15
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If 3/4 = x/8, then x is equal to __.
Answer:
6
Step-by-step explanation:
if 3/4 = x/8 then x = 6 because you have to multiply 4 by 2 to get 8. in the same way 3×2 = 6
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17x+6y=17 in slope intercept form
Answer:
6y = -17x + 17
Step-by-step explanation:
All you have to do for this equation to put it into slope-intercept form is to minus 17x from both sides giving you 6y = -17x + 17 which is the correct form. Then you can simplify by dividing everything by 6 but I'll let you do that.
How many times larger is the number 10 billion to the number 10 million?
Answer:
100 times bigger
Step-by-step explanation:
The length of a picture frame is 8 inches more than the width. For what values of x is the perimeter of the picture frame greater than 152 inches.
For, "x" greater than 34, the perimeter of the picture frame greater than 152 inches
Solution:
Let "x" be the width of the frame
Given that, The length of a picture frame is 8 inches more than the width
Therefore,
Length = width + 8
Length = x + 8
The perimeter of rectangle is given by formula:
Perimeter = 2(length + width)
Substituting the values we get,
Perimeter = 2(x + 8 + x)
Perimeter = 2(2x + 8)
Perimeter = 4x + 16
The perimeter of the picture frame greater than 152 inches
Perimeter > 152
[tex]4x + 16>152\\\\\text{Subtract 16 from both sides of inequality}\\\\4x + 16 - 16 > 152 - 16\\\\4x>136\\\\\text{Divide both sides by 4}\\\\x>34[/tex]
Therefore, for, "x" greater than 34, the perimeter of the picture frame greater than 152 inches
Answer:
x>35
Step-by-step explanation:
(Compound inequalities)
Solve for x.
-8x + 3 ≥ 27 and -13x + 5 ≥ 57
Choose 1 answer:
A: x ≤ -4
B: x ≤ -3
C: -4 ≤ x ≤ -3
D: There are no solutions
E: All values of x are solutions
Answer:
C: -4 ≤ x ≤ -3
Step-by-step explanation:
-8x + 3 ≥ 27
x ≤ -3
-13x + 5 ≥ 57
x ≤-4
It’s A y’all mad goofy for choosing C
X < -4
Ramon has 7/8 of a cup of cottage cheese. How many 1/4 cup servings can he make?
Answer:
Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one
Step-by-step explanation:
1. What information was given to us to answer the question correctly?
Amount of cottage cheese Ramon has = 7/8 of a cup
2. How many 1/4 cup servings can he make?
For answering this question, we make this calculation:
7/8 * 1/4
7/8 * 4/1 = 28/8 = 7/2 or 3 1/2 cup servings
This means that Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one:
1/4 + 1/4 + 1/4 + (1/2 * 1/4) = 7/8
3/4 + (1/2 * 1/4) = 7/8
3/4 + 1/8 = 7/8
6/8 + 1/8 = 7/8
7/8 = 7/8
If the butcher paper is 21 inches long,what is the area of one circle
Answer:
=[tex]12.25[/tex][tex]\pi[/tex]
Step-by-step explanation:
Given:
Length of butcher paper,(diameter of three congruent circle) = 21 inches
Means, diameter of a circle = [tex]\frac{21}{3}[/tex] = 7 inches
Questioned asked:
Area of one circle = ?
Solution:
Radius of a circle ,r = half of of one circle's diameter
r = [tex]\frac{7}{2}[/tex]
= [tex]3.5[/tex]
Area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]3.5\times3.5[/tex] [tex]\pi[/tex]
=[tex]12.25[/tex][tex]\pi[/tex]
Therefore, Area of one circle ==[tex]12.25[/tex][tex]\pi[/tex]
4/5 ÷ 7/6 + 2/7 ∙2 1/5
Step-by-step explanation:
We have,
[tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]
To find, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] = ?
∴ [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]
[tex]=\dfrac{4}{5}\times \dfrac{6}{7} +\dfrac{2}{7}.\dfrac{8}{5}[/tex]
[tex]=\dfrac{24}{35} +\dfrac{16}{35}[/tex]
Taking LCM of denominator, we get
[tex]=\dfrac{24+16}{35}[/tex]
[tex]=\dfrac{40}{35}[/tex]
Dividing numerator and denominator by 5, we get
[tex]=\dfrac{8}{7}[/tex]
∴ The value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] [tex]=\dfrac{8}{7}[/tex]
Hence, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] is equal to [tex]\dfrac{8}{7} .[/tex]
Here’s another one thank u all for helping me. I really appreciate it!
C = circumference of circle with radius r
C = 2*pi*r
C = 2*3.14*3500
C = 21,980
C = 22,000 rounding to 2 significant figures (3500 is also 2 sig figs)
Answer is choice CPlease help me asap
What is the equation for the line?
Enter your answer in the box.
the graph is below
The equation of a line is y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 ----> (0, y) or the point where the line goes through the y-axis]
To find the slope, you use the slope formula (m):
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and plug in 2 points
I will use the points (0, 0) and (1, 8)
(0, 0) ----> (x₁, y₁)
(1, 8) ----> (x₂, y₂)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{8-0}{1-0}[/tex]
m = 8
Since you know m, plug it into the equation.
y = 8x + b
The graph shows that the y-intercept is 0, so plug it into the equation
y = 8x
Write and solve a word problem to match the equation 6×?=48
Answer:
Jack has 48 rockets in all. He wants to split them equally into 6 groups. How much rockets do he put into each group?
Let "how much" = x. Set the equation:
x * 6 = 48
(x * 6)/6 = (48)/6
x = 48/6
x = 8
8 groups is your answer.
~
Solve for f. -f+2+4f=8-3f
Hope it will help u..............
I need help please and thank you
Answer:
122 degree
Step-by-step explanation:
As we know that
Sum of all angles of triangle = 180 degree
Angle A + Angle B + Angle C = 180
Angle A + 43 + 15 = 180
Angle A + 58 = 180
Angle A = 180-58
Angle A = 122
What is the sale price of a toy rocket originally priced at $92?
Answer:
$69
Step-by-step explanation:
1 - 0.25 = 0.75
original price * (1 - markdown) = sale price
$92 * 0.75 = sale price = $69
The recommended angle for a wheelchair ramp is 5 degrees. If the rise of the ramp to go up the steps is 5 feet, find the horizontal run length that the ramp must start. (Round to one decimal place)
Answer:
[tex]57.2\ ft[/tex]
Step-by-step explanation:
we know that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
In this problem
The tangent of angle of 5 degrees is equal to the quotient of "rise over run"
Let
y ----> the rise of the ramp
x ----> the run of the ramp
[tex]tan(5^o)=\frac{y}{x}[/tex]
we have
[tex]y=5\ ft[/tex]
substitute and solve for x
[tex]tan(5^o)=\frac{5}{x}[/tex]
[tex]x=\frac{5}{tan(5^o)}[/tex]
[tex]x=57.2\ ft[/tex]
Are the ratios 8:16 and 1:2 equivalent?
Answer:
Yes! the ratio 8:16 is equivalent to 1:2
which angle is supplementary to DFA?
Answer:
<AFB
Step-by-step explanation:
Supplementary angles are the angles that's sum up to 180° which is called a straight angle.
In this question we see AFB is supplementary to DFA for DFB is the straight angle.