The solution to the word problems given are obtained by creating a mathematical expression from the questions given. Hence, the solutions are :
$1389.375$11895$5366911.)
Regular Earning per hour = $28.50Overtime earning = 1.75 × 28.50 = $49.875Regular work hour = 40 hoursTotal work hours = 45 hours
Total earning can be defined thus :
28.50(40) + 49.875(45 - 40)
1140 + 249.375
= $1389.375
2.)
Earning per week = $1525Percentage saving = 15%Yearly saving can be calculated thus :
Weekly saving = 15% × 1525 = $228.75
Amount saved per year = $228.75 × 52 = $11895
3.)
Monthly pay = $50000Withholding tax per month = P 5275.75Actual payment received per year can be calculated thus :
Actual weekly earning = $50000 - $5275.75 = $
Actual yearly earning = 52 × $44724.25 = $536691
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write the equation in slope intercept-form for the line that passes through (0,-7) and (10,3)
-2×(-2)³×(-2)×3+(-2)×3×(-1)³
Answer:
-90
Step-by-step explanation: I hope its the right answer. If not I'm sorry.... I'm just a kid...
Graph the inequality y < 1 - 3x
Answer:
13
Step-by-step explanation:
it's the logique
show that for all x >0
Answer:
See belowStep-by-step explanation:
We can show that for x = 0, both sides of the inequality get the value of 1.
With x > 0, the left side goes towards - ∞ with the negative slope and the right side is always positive.
I'll give a graphical solution.
Hope this helps.
What is 4 ÷ 3/5 A.6 B.6 2/5 C.6 2/3 D.8
(about) 6.6 or 6 2/3
Find the gradient and intercept on the x and y axes of the straight line with the following equation.
y + 5x = 13
Answer:
gradient is 5
Step-by-step explanation:
x intercept, replace y with 0
y +5x= 13
0+ 5x =13
0 - 13= -5x
-13= -5x
-13/-5 = -5x/-5
x = 13/5
y intercept, replace x with 0
y+5x=13
y+5(0)=13
y+0=13
y =13
Chu kỳ của hàm số y=sin 4 là:
The product of three and a number increased by 7 is 16.
Answer:
The unknown number is 3
Step-by-step explanation:
3x+7=16
-7 -7
3x=9
_ _
3 3
x=3
Answer:
I think that the number is nine
Step-by-step explanation:
1 escribe el numero entero asociado a cada situacion a) 10 metros bajo el nivel del mar b)perdio 5000 pesos c)40° bajo cero d)gana 2000 pesos | porfaa es para 1 hora
Answer:
a) - 10m
b) - $5000
c) - 40°
d) + $2000
Step-by-step explanation:
I hope this help you
Please help me solve this
Answer:
the answer will be something like 18
(7g - 6) - (-3n – 4) =
Answer:
7g + 3n - 2
Step-by-step explanation:
when you subtract you 'add the opposite'; subtracting a negative is the same as adding a positive
for example, using the above statement we can rewrite the problem as:
7g - 6 + 3n + 4
we can combine -6 and 4 to get -2
7g + 3n - 2 or 7g + 3n + (-2)
Your 2 year investment of $5,300 earns 2.9% and is compounded annually. What will your total return be?
The total return will be $5611.8
How to calculate the total return?A 2 year investment of $5,300 earns 2.9%
The investment is compounded annually
The total return can be calculated as follows
= 5300 (2.9/100 + 1)
= 5300 (0.029 + 1)
= 5300(1.029)²
= 5300(1.0588)
= $5611.8
Hence the total return is $5611.8
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Find the inverse of each of the given funcions
fo) = 4x-12
51x)=
DONE
o
Let y be f(x)
[tex]\\ \sf\longmapsto y=4x-12[/tex]
Swipe the values
[tex]\\ \sf\longmapsto x=4y-12[/tex]
Isolate y[tex]\\ \sf\longmapsto 4y=x+12[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{x+12}{4}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{1}{4}x+3[/tex]
Hence.
[tex]\\ \sf\longmapsto f^{-1}(x)=\dfrac{1}{4}x+3[/tex]
Let y=f(x)
y=4x-12Now interchange the variables
x=4y-12The y we need now
x+12=4yDivide both sides by 4
y=(x+12)/4This is the inverse
Mr. Chen hires an electrician to install the light fixtures for an addition to his house. The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation. The function y=120+55x can be used to model the total cost of the job, in dollars. What is the independent variable in this situation, and what does it represent?
Step-by-step explanation:
y=120+55x
here,X = -24/11
Y=120
don't have time or else I would have shown the details
The independent variable in this situation is x and it represents the number of hours taken for installation
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Mr. Chen hires an electrician to install the light fixtures for an addition to his house.
The function y=120+55x can be used to model the total cost of the job, in dollars
The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation.
initial fee=120
Here x is the independent variable which represents the number of hours taken for installation
Hence, the independent variable in this situation is x and it represents the number of hours taken for installation
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Subtract −4x−2y+6 from 3x−2y+4 . HELP ME OUT YOULL GWT 40 POINTS
−x−4y+10
7x−2
−7x−4y+2
I don't know.
The simplified expression is 7x- 2.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
−4x−2y+6 from 3x−2y+4.
So, subtraction will be as follows
3x - 2y + 4-( -4x -2y + 6 )
or, 3x - 2y + 4 + 4x + 2y -6
or, 7x - 2
Hence, the simplified expression is 7x- 2.
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find the base of an isosceles triangle whose area is 12 cm square and one of the equal sides is 5cm.
H
13. Stretch Your Thinking Jenny and George combined their
allowances to buy the same present for each of their four
teachers. Jenny had $13.75. George had $2.26 less than
Jenny. How much did one present cost?
Answer: One present cost 6 dollars and 31 cents.
Step-by-step explanation:
Ok so first you subtract 2.26 from 13.75 to find out the total that George has.
That would be 11.49.
Next you add them together because they combine allowances.
So thats 25.24.
Next you divide this by 4 because they are buying the same present for their four teachers, therefore all will be the same price.
This would be 6.31
You leave the decimals because your talking about money.
Hopefully this helps. Have a wonderful day. :)
Marking me brainly really helps if you found my answer helpful!
Plz help this is for a grade‼️ the ratio of males to females in the middle school is 6:8. If there are 126 make students,how many frmale stufents are there?
Answer:
kzkakkalqlqoqowowpwowppw
Harry drives a lot as a part of his job, and he notes that an upcoming trip is from the office to a meeting location that is 2 inches away on a map. The map uses a scale of 1 inch = 34 miles. What is the actual distance between the office and the meeting location?
Answer: The actual distance is 68 miles.
Step-by-step explanation:
How many 1/4 cup servings are in 5/6 cups of yogurt?
Answer:
3.3
Step-by-step explanation:
1/4*3 = 3/12 (find lcd lowest common factor )
5/6 *2 10/12 figure out how many time 3 goes into 10 about 3.3 repeating
Answer: [tex]\right] \left[\begin{array}{ccc}0.3 cups\\\end{array}\right] \\[/tex]
Step 1: Write the problem as a mathematical expression.
1/4 and 5/6
Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator.
0.3 cups
Definitions:
A. Fraction- A number used to name a part of a group or a whole. The number below the division line is the denominator, and the number above the division line is the numerator.
B. Expression- A mathematical symbol, or combination of symbols, representing a value, or relation.
Have a great day!
what is the amount of water in the aquarium at 0 minutes
Answer:
I would guess it would be 0 but is there a graph or background info
?
Step-by-step explanation:
Enter the value of x. The diagram is not to scale.
680
119°
.70
Answer:
51°
Step-by-step explanation:
We know that all angles in a triangle add up to 180°
We have one of them, 68° for now.
We also know the angle on the outside of the triangle that forms with one side being extended. That side is a straight line (180°)
Which means the interior angle there would be 180-119 = 61°
This means that we have 2 out of 3 angles now. Now we just add them up and subtract them from 180°.
180° - (68+61) = 51° is our final answer.
Let me know if that makes sense, or if you have any other questions.
Hope I helped! :)
Item 1
What is the slope of the line on the graph?
WORTH 20 POINTS
Enter your answer in the box.
Answer:
-2
Step-by-step explanation:
Hope it helps
Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%. What was the cost of the sweatshirt before tax?
Answer:
$ 24.75
Step-by-step explanation:
10/100 = x/27.50 (10% is what of 27.50) (%/100 = is/of)
(27.50)(10)/100 (cross multiply)
= $2.75 (tax)
27.50 - 2.75 = $ 24.75
if f(x)=3x-5 and g(x)=x², find (f o g)(3)
Answer:
(f ∘ g) (3) = 22
Step-by-step explanation:
f( x + 3x - 5; g (x) = x² ∴ g ( 3 ) = 3² = 9
( f ∘ g ) ( 3 ) = f(g(3)) = f ( 9 ) = 3 · 9 - 5 = 27 - 5 = 22 [Ans]
What is the value of the correlation coefficient r of the data set?
Scatter Plot Correlation Data Table
−0.81
−1
0.66
0.81
can someone help me please
Answer:
53 degrees
Step-by-step explanation:
m<J = m<Q
Question number eight.
Answer:
true
Step-by-step explanation:
a to there powe8 and a to the power1
Rectangle PROM has a perimeter of 42 inches, and OR = 8 inches. What is the area of the rectangle PROM?
Answer:
104 in²
Step-by-step explanation:
If OR = 8 then 8 x 2 = 16
PM= (42-16)/2=13
Therefore area = 8 x 13 = 104 in²
To check the perimeter is right:
2(8+13) = 42
Pls help! A B C,or D
Answer:
c or d
Step-by-step explanation:
Answer:
D. y = -2x - 10Step-by-step explanation:
Slope- intercept form:
y = mx + bIn the process of solving it was found that:
m = -2 and b = -10The equation therefore is:
y = -2x - 10Correct choice is D