Answer:
a. almost 8 years
Step-by-step explanation:
Brenda's expected annual increase in salary is ...
$63,292 -45,258 = $18,034
If we assume that Brenda's cost of education includes going without 2 years' salary as well as the cost of tuition, her degree's total cost will be ...
2×$45,258 +15,000 = $105,516
__
Once Brenda starts earning again, she is recovering this cost at the rate of $18,034 per year, so it will take ...
$105,516/($18,034 /yr) = 5.85 yr
to recover that cost.
Since Brenda spent 2 years in school, from the time she decides to start school until she has recovered her cost, it will be 2 + 5.85 = 7.85 years, almost 8 years.
_____
If Brenda can continue working while going to school, she can recover her tuition cost in about 10 months after graduation.
Answer:
C
Step-by-step explanation:
Carey earns $9.75 working part time on weekends. The table below shows the amount, a, Carey earns for working h hours. Carey’s Earnings h 0 1 3 a $0 $9.75 ? Which value completes the table to show the amount Carey earns for working 3 hours?
Answer:
$29.25
Step-by-step explanation:
For every 1 hour, Carey earns $9.75. Multiply $9.75 by 3 to find out how much she earns for 3 hours of work.
$9.75 × 3 = $29.25
Carey earns $29.25 for working 3 hours.
Answer:
29.25
Step-by-step explanation:
I got it right on edge!! trust me
Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
Of(x) = -51% + 87 - 1
O f(x) = -3.2? + 4.1 - 1
Of(t) = -202 + 5x - 1
Of(1) = -3.1? + 10.1 - 1
Answer:
The correct option is;
f(x) = -2·x² + 5·x - 1
Step-by-step explanation:
Given the points
(-1, -8), (0, -1), (1, 2), we have;
The general quadratic function;
f(x) = a·x² + b·x + c
From the given points, when x = -1, y = -8, which gives
-8 = a·(-1)² + b·(-1) + c = a - b + c
-8 = a - b + c.....................................(1)
When x = 0, y = -1, which gives;
-1 = a·0² + b·0 + c = c
c = -1.....................................................(2)
When x = 1, y = 2, which gives;
2 = a·1² + b·1 + c = a + b + c...............(3)
Adding equation (1) to (3), gives;
-8 + 2 = a - b + c + a + b + c
-6 = 2·a + 2·c
From equation (2), c = -1, therefore;
-6 = 2·a + 2×(-1)
-2·a = 2×(-1)+6 = -2 + 6 = 4
-2·a = 4
a = 4/-2 = -2
a = -2
From equation (1), we have;
-8 = a - b + c = -2 - b - 1 = -3 - b
-8 + 3 = -b
-5 = -b
b = 5
The equation is therefore;
f(x) = -2·x² + 5·x - 1
The correct option is f(x) = -2·x² + 5·x - 1.
The digits of a 2 digit number differ by 3. Is the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the number?
Answer:
58
Step-by-step explanation:
Hello, let's note the two digits a and b. the first number 'ab' can be written as 10a +b. For instance if this is 24 it can be written 20 + 4.
If the digits are interchanged the number become 'ba' so 10b + a
We can say that 10a + b + 10b + a = 143
11(a+b)=143
We divide by 13 both sides and we take
a+b = 143/11 = 13
and we know that the digits differ by 3 so b = a + 3
then a + b = a + 3 + a = 2a + 3 = 13
so 2a = 10 and then a = 5
Finally, b = 5+3=8 so the number is 58.
And we can verify that 58 + 85 = 143.
Thanks
Answer:
Let the unit digit be x and tens digit be x + 3Therefore, the original number = 10(x + 3) + xOn interchanging, the number formed = 10x + x + 3❍ According to Question now,
➥ 10(x + 3) + x + 10x + x + 3 = 143
➥ 10x + 30 + 12x + 3 = 143
➥ 22x + 33 = 143
➥ 22x = 143 - 33
➥ 22x = 110
➥ x = 110/22
➥ x = 5
__________________...Therefore,
The unit digit number = x = 5
The tens digit number = x + 3 = 5 + 3 = 8
__________________...The original number = 10(x + 3) + x
The original number = 10(5 + 3) + 5
The original number = 50 + 30 + 5
The original number = 85
Hence,the original number is 85.
on a map the distance between rip and Janeiro Brazil and San Jose Costa Rica is 4 inches.the scale on the map shows that 1 inch=200 miles ,or if you write it as a ratio.. how would set up a proportion if you want to figure out how many miles it is form Rio de Janeiro to San jose.?
Answer:
The way a proportion is set is as follows;
[tex]\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}[/tex]
The Distance from Rio de Janeiro and San Jose Costa Rica is then found as 800 miles
Step-by-step explanation:
The dimension of the distance between Rio de Janeiro and San Jose Costa Rica = 4 inches
The map scale = 1 inch to 200 miles
To figure out how many miles it is or the actual distance from Rio de Janeiro and San Jose Costa Rica, we have;
[tex]\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}[/tex]
Therefore, we have;
(4 inches × 200 miles)/(1 inche) = Distance from Rio de Janeiro and San Jose Costa Rica
Which gives;
Distance from Rio de Janeiro and San Jose Costa Rica = 800 miles.
Which equation represents the line that is perpendicular to y=1/4 and passes through (-6,-9)?
Answer:
perpendicular means
m1 = 1/4
m2= -1/(1/4)
= -4 (Perpendicular slope)
(-6,-9) = (x1,y1)
so,
y-y1 = m (x-x1)
y-(-9)= -4 (x-(-6))
y+6 = -4 (x+6)
y+6 = -4x-24
y= -4x-24+6
y= -4x-18
hope it helps ^°^
Answer:
[tex]\displaystyle \boxed{y = -4x - 33}[/tex]
Step-by-step explanation:
[tex]\displaystyle y = \frac{1}{4}x[/tex]**
Now, perpendicular equations have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], so [tex]\displaystyle \frac{1}{4}[/tex]becomes −4 and you do the following:
−9 = −4[−6] + b
24
[tex]\displaystyle -33 = b \\ \\ y = -4x - 33[/tex]
I am joyous to assist you at any time.
jessica weighs x+34 pounds and Ronda weighs 12 pounds less. If Jessica gains 5 pounds and Ronda loses 2 pounds, what is the sum of their new heights.
Answer:
2x+59.
Step-by-step explanation:
Let J represent Jessica's weight and R represent Ronda's weight.
Jessica weighs x+34 pounds. Thus:
[tex]J=x+34[/tex]
Ronda weighs 12 pounds less than Jessica. In other words:
[tex]R=J-12=(x+34)-12\\R=x+22[/tex]
The sum of their weights, therefore, is:
[tex]J+R\\=(x+34)+(x+22)=2x+56[/tex]
Now, if Jessica gains 5 pounds and Ronda loses 2 pounds, the net gain of the total weight would be 3 pounds. Thus, we only need to add 3 to the original total to find the sum of their new weights:
[tex]2x+56+3=2x+59[/tex]
The sum of the new [weights] is represented by 2x+59.
what does -5/7 x 1/5 equal?
Answer:
The answer is -0.04
Step-by-step explanation:
PLEASE HELP Give me an example of a negative correlation
Answer:
Step-by-step explanation:
An example of a negative correlation is tv viewing and student test grades.
Another example is the video game playing and test grades
What’s 4%x56? 2 A.2.24 B.1.12 or C.0.448
Answer:
A. 2.24
Step-by-step explanation:
Multiply 56 by 0.04
56(0.04)
= 2.24
Answer:
Option A
Step-by-step explanation:
4% * 56 =
0.04 * 56 = (Convert the percent into a decimal.)
2.24 (Multiply)
Hope this helps.
give area of a rectangle measuring 12 ft by 9ft and please show all the work
Answer:
Area= 108ft²
Step-by-step explanation:
To find the area of a rectangle, you must do the following formula:
Area= Length × Width
A represents Area
L represents Length
W represents Width
Because the length (length is always longer than width) is 12 ft and the width (width is always shorter than length) is 9 ft. Your equation should be:
A= L × W
= 12ft × 9ft
= 108 ft²
Remember: The answer to a question asking for the area of a shape that is 2D, is always squared (let x represents the answer: x²). And the question asking the area of a shape that is 3D always cubed (let x represents the answer: x³). Always write the unit of measurement (let x represent the answer and cm as the example of unit of measurement: x cm²)
I hope this helps! I'm sorry if it's too complicated.
solve 15x²+8x+1÷ 2x-y
Answer:
\frac{\left(5x+1\right)\left(3x+1\right)}{2x-y}
Step-by-step explanation:
15x^2+8x+1:\quad \left(5x+1\right)\left(3x+1\right)
add on 2x -y as the denominator of the fraction
Which graph represents a function?
Answer:
The first Answer:
Step-by-step explanation:
The x-values are not the same on one line:
Image
The line connecting isn't perfect but see what I mean?
Michelle's last electric bill listed a previous reading of 17.934 kWh. This month, the electric meter reading is
18,796 kWh. If the electric company charges $0.09 per kWh, what is the charge for usage?
Answer:
charge = 18796 * 0.09$
=1691.64$
Step-by-step explanation:
Answer:
18796 * 0.09$
=1691.64$
Step-by-step explanation:
20liters of mixture contain milk nad water in the ratio 5:3 if 4liters of the mixture are replaced by 4 liters of milk find the new ratio of milk to water
Answer:
the new ratio milk/water is 14:6 or 7:3
Step-by-step explanation:
milk/water=5/3
milk +water=5+3=8
ratio of milk=5/8 and ratio of water=3/8
if 4 liter removed from mixture then: 20=4= 16 liter
the amount of milk in 16 liter=16*5/8=10 liter of milk
the amount of water in 16 liter=16*3/8= 6 liter
add 4 liter of milk to the mixture: 10+4=14 liter of milk and 6 liter of water
the new ratio milk/water is 14:6 or 7:3
A farm has a square fenced-in area with side length x where the farm gives children pony rides. Adjacent to one entire side of the square area, there is a roped-off rectangular area where the children line up. This rectangle is 4 yards wide and x yards long.
1.The total area of the square and rectangular areas together is 2,700 square yards. Write an equation that represents this situation.
2. Use your equation from part a to find the dimensions of the roped-off rectangular area.
please help so i can pass my class!!
Answer:
1) x²+4x=2700
2) 50x50
Step-by-step explanation:
Pony area = x²
line-up area=4x
x²+4x=2700
x²+4x-2700=0
(x-50)(x+54)
So x= 50 or -54. Since it can’t be a negative number, it must be 50.
CHECK:
Square = 50x50 = 2500
Line up area = 50x4 = 200
2500+200=2700 YES
4. The function g is defined by
the value of (60) ?
Answer:
Here for the comments .
Step-by-step explanation:
Of the 40 specimens of bacteria in a dish, 3 specimens have a certain trait. If 5 specimens are to be selected from the dish at random and without replacement, which of the following represents the probability that only 1 of the 5 specimens selected will have the trait?1) (5/1)/(40/3)
2) (5/1)/(40/5)
3) (40/3)/(40/5)
4) (3/1)(37/4)/(40/3)
5) (3/1)(37/4)/(40/5)
Answer:
[tex]\frac{(^3_1)*(^{37}_4)}{(^{40}_5)}[/tex]
Step-by-step explanation:
The total number of ways in which 5 specimens can be selected from the dish at random is given as C(40, 5).
Since only one of the five specimens would have the trait, the number of ways of selecting the one specimen out of the 3 specimens with the trait is C(3, 1).
3 specimens have the trait therefore 37 specimens (40 - 3) do not have the trait. The number of ways in which the remaining 4 specimens out of the 5 spemimens that do not have the trait is C(37, 4).
Therefore, the probability that only 1 of the 5 specimens selected will have the trait = [tex]\frac{C(3,1)*C(37,4)}{C(40,5)} =\frac{(^3_1)*(^{37}_4)}{(^{40}_5)}[/tex]
there are 63 students marching in a band, and they're marching in 7 rows how many students are in each row
Answer:
9 people per row
Step-by-step explanation:
63/7=9
let me now if right
the perimeters of two squares are 60 meters and 144 meters respectively. find the perimeter of another square equal in area to the sum of the first two squares
Answer:
Step-by-step explanation:
perimeter of first square = 4 × side = 60 m
∴ side = 60/4 = 15 m
so area = s × s = 15 × 15 = 225 m^2
perimeter of second square = 4 × side = 144 m
∴ side = 144/4 = 36 m
so area = s × s = 36 × 36 = 1296 m^2
Perimeter of the third square = sum of areas of the first and second triangle
= 225 + 1296
= 1521 m
hope this helps
plz mark as brainliest!!!!!
Answer:
Perimeter of new square = 156 m
Step-by-step explanation:
First square:
Perimeter = 60 m
4 * side = 60 m
side = 60/4
side = 15 m
Area of first square = side * side = 15 * 15 = 225 m²
Second square:
Perimeter = 144 m
4 * side = 144 m
side = 144/4
side = 36 m
Area of second square = side * side = 36 * 36 = 1296 m²
New square:
Area of new square = area of first square + area of second square
= 225 + 129
Area of new square = 1521 m²
side * side = 1521
side = √1521 = √39*39
side = 39 m
Perimeter of new square = 4 * 39 = 156 m
What is the slope and the y-intercept of the line on the graph below? On a coordinate plane, a line goes through points (0, 1) and (4, 0).
The slope is the change in Y over the change in x:
Slope = (0-1) / 4-0) = -1/4
Slope = -1/4
Y intercept is the Y value when x is equal to 0. In the point (0,1) x is 0 and y is 1, so the y-intercept is 1
-18 = -3x + 6 can anybody help me solve this problem
Answer:
[tex]\huge\boxed{x = 8}[/tex]
Step-by-step explanation:
[tex]\sf -18 = -3x+6\\Subtracting \ 6 \ to \ both \ sides\\-18-6 = -3x\\-24 = -3x\\Dividing \ both \ sides \ by \ -3\\8 = x\\OR\\x = 8[/tex]
Answer:
x = 8
Step-by-step explanation:
Here, -3x = -24
x = 8
hope that helps you
20. A pool holds 1440 cubic feet of water, the city charges $1.75 per cubic meter of water used.
How much will it cost to fill the pool?
Answer:Conversion units
Step-by-step explanation: 1 ft^3= 0.028m^3 .: 1440ft^3=40.776m^3, so $1.75x40.776=$71.358~ $71.36.:
Answer:
$71.36
Step-by-step explanation:
1 foot = 0.3048 metros
1 cubic feet = (0.3048metros)³ = 0.02932 cubic meters (aprox.)
1440 cubic feet = 1440*0.02932 = 40.7763 m
$1.75 por cubic meter:
1.75*40.7763 = $71.36
I need Helpppp quick!!!!
Answer:
G
Step-by-step explanation:
let his fixed price be x and his hourly fee be y;
270 = 4y + x
420 = 7y + x
x is common in both equations
equate the two;
x = 270-4y and x = 420-7y
270-4y = 420-7y
3y = 150
y = 50
x = 270-4*50
x = 70
Estimate the solution to the system of equations.
Hey there! I'm happy to help!
Since we are using graphs, we will do not need to algebraically solve this system of equations.
When you graph a system of equations, the solution is always the point at which the two lines intersect.
Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3
Have a wonderful day! :D
simplfy the given equation using the distributive property 5x + 2(x - 3) = -2(x - 1)
Answer:
x = [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
5x + 2 (x - 3) = -2 (x - 1)
5x + 2x - 6 = -2x +2
5x + 2x + 2x = 2 + 6
9x = 8
x = [tex]\frac{8}{9}[/tex]
Answer:
The value of x in the given equation is 0.89
Step-by-step explanation:
5x + 2(x - 3) = -2(x - 1)
Distribute 2 to (x - 3)
5x + 2x - 6 = -2(x - 1)
Distribute 2 to (x - 1)
5x + 2x - 6 = -2x + 2
Combine 5x and 2x on the left side of the equation.
7x - 6 = -2x + 2
Add 6 on both side of the equation.
7x = -2x + 8
Add 2x on both sides of the equation.
9x = 8
Now divide 9 from 8. Make sure you round the decimal because the quotient of these numbers is a repeating decimal.
x = 0.89
So, the value of x is 0.89
B is the midpoint of AC. What is the value of x if AC = 52 and AB = 3x - 4
Answer:
x = 10
Step-by-step explanation:
Since B is the midpoint of AC then AB = BC = 3x - 4 and
AB + BC = AC , thus
3x - 4 + 3x - 4 = 52, that is
6x - 8 = 52 ( add 8 to both sides )
6x = 60 ( divide both sides by 6 )
x = 10
help me im dangered plzzzzzzzzzzzzzzzzzzzz
Answer:
A
Step-by-step explanation:
Hi!
An exponent is the same thing as just multiplying the expression by itself the number of times the exponent says. So we need to multiply 1/3 by itself three times.
1/3 * 1/3 * 1/3 = 1/27
Please answer this question now
Answer:
112°
Step-by-step explanation:
Arc CD is part of arc BCD, which is intercepted by the inscribed angle A.
Based on the inscribed angle theorem on circle, the sum of arc CD and CB is twice the measure of angle A.
That is:
CD + CB = 2(129°)
CD + 146 = 2*129
CD + 146 = 258
Subtract 146 from both sides to find CD
CD + 146 - 146 = 258 - 146
CD = 112°
Whats the volume of a ball if diameter is 17
Answer:
818.8333333 *pi
or
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
Step-by-step explanation:
We need the radius
r = d/2
r = 17/2 = 8.5
We can find the volume using
V = 4/3 pi r^3
V = 4/3 pi ( 8.5)^3
V =818.8333333 *pi
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
88 feet/second = 60 miles/hour. How many feet per second is 1 mile? (Hint: divide both side of the equation by the same amount.)
Answer:
1 mile/hour is equivalent to 1.47 feet/seconds
Step-by-step explanation:
Given
[tex]88 ft/s= 60 miles/hr[/tex]
Required
Determine the equivalent of 1 mile/hour
[tex]88\ ft/s= 60\ miles/hr[/tex]
Express 60 as 60 * 1
[tex]88\ ft/s= 60 * 1\ mile/hr[/tex]
Divide both sides by 60
[tex]\frac{88\ ft/s}{60}= \frac{60 * 1\ mile/hr}{60}[/tex]
[tex]\frac{88\ ft/s}{60}= 1\ mile/hr[/tex]
Reorder
[tex]1\ mile/hr = \frac{88\ ft/s}{60}[/tex]
Divide 88 by 60
[tex]1\ mile/hr = 1.46666666667\ ft/s[/tex]
Approximate to 3 significant figures
[tex]1\ mile/hr = 1.47\ ft/s[/tex]
Hence;
1 mile/hour is equivalent to 1.47 feet/seconds
