The amount that Heather earns if she works 46 hours in one week is; $563.5
Amount she earns per hour if she works for 40 hours a week = $11.5 per hour
If she works over 40 hours, her hourly pay is 1.5 times the previous rate.
Thus;
Amount she earned for 40 hours is;
11.5 × 40 = $460
Amount she earned for the 6 extra hours to make it 46 hours is;
1.5 × 11.5 × 6 = $103.5
Total amount she earned for the 46 hours = $460 + $103.5 = $563.5
Read more on proportion word problems at; https://brainly.com/question/160640
There are 120 apartments on 15 floors. Find the unit rate.
A can of soup is a cylinder with diameter 7 cm.
The can is 10 cm high
The can is full of soup
soup
The soup is poured into a saucepan.
The saucepan is a cylinder with diameter 12 cm.
Work out the depth of the soup in the saucepan.
Give your answer correct to 1 decimal place.
Answer:
3.4 cm
Step-by-step explanation:
We can solve this by calculating the volume of the soup and then figuring out the height of the soup in the saucepan from there.
Cylinder volume: πr²h
r = 0.5 * diameter
volume of soup: π(3.5)²10 ≈ 384.845
volume of soup in saucepan: 384.845
For saucepan:
πr²h = π(6)²h = volume = 384.845
36πh = 384.845
divide both sides by 36π to isolate h
h ≈ 3.4 cm
I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)
Answer:
8x+29
Step-by-step explanation:
open the brackets the collect like terms together
Select all the ordered pairs that are solutions to the equation 2x+y=−12
(−10, 8)
(−9, −6)
(−8, −2)
(0, −12)
(4, −20)
Answer:
(-10,8)(0,12)(4,-20)
Step-by-step explanation:
You just have to insert the points into the equation and then solve.
Ex: 2(4)-20=-12- True
Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine
x
x, how much each bottle of juice costs.
Answer:
$1
Step-by-step explanation:
Sorry the first x is blank
The second x:
$5.06-$2.06=$3
3/3=$1
which expression simplies to 40x10?
Answer:
i think its 4*1
Step-by-step explanation:
hope this helps
have a great day
~Zero~
Answers
Explainations
The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a
rectangle, or a square? Explain.
Answer:
Rhombus
Step-by-step explanation:
The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.
Which of the following tables represents a function?
X 66
77
y 2 -2 3-3
x 2-2 3-3
y 55
77
x 3 -3 3-3
y 6 7
89
X 4 4 5 5
y 1 2 3 4
Answer:
x 2-2 3-3
y 5 5 7 7
Step-by-step explanation:
Each domain, or x value, can only be matched with one y value, so given this, the third one is the answer since every domain is only matched with one range, or in other words, there are no repeating domains in on the x row of the table.
The table that represents a function is
x 2 -2 4 -4
y 8 8 12 12
Option D 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,
A function can have many to one but a function can not have one to many.
So,
From the table,
x 2 -2 4 -4
y 8 8 12 12
This is a many-to-one function.
All the other tables are one-to-many functions.
Thus,
The table that represents a function is
x 2 -2 4 -4
y 8 8 12 12
Learn more about functions here:
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What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, StartFraction 11 Over 12 EndFraction) in slope-intercept form
Step-by-step explanation:
Slope-intercept form: y = mx + b
Step 1: Find the slope.Solve for [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]y2-y1 = \frac{11}{12} -\frac{19}{20}[/tex]
[tex]x2-x1 = \frac{1}{3} -\frac{2}{5}[/tex]
To solve for the fractions you need a common denominator.
[tex]y2-y1 = \frac{11*20}{12*20} -\frac{19*12}{20*12} = \frac{220}{240} -\frac{228}{240}=\frac{-8}{240} = \frac{-1}{30}[/tex]
[tex]x2-x1 = \frac{1*5}{3*5} -\frac{2*3}{5*3} = \frac{5}{15} -\frac{6}{15}=\frac{-1}{15}[/tex]
To divide fractions you keep (the first equation), change (the division sign to multiplication), and flip (the second fraction).
[tex]\frac{y2-y1}{x2-x1}=\frac{\frac{-1}{30} }{\frac{-1}{15} } = \frac{-1}{30}*\frac{15}{-1} =\frac{-15}{-30}=\frac{1}{2}[/tex]
Step 2: Plug slope and a point into y=mx+b to solve for b.[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{2}[/tex])*([tex]\frac{1}{3}[/tex])+b
[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{6}[/tex])+b
[tex]\frac{11}{12}-\frac{1}{6}[/tex] = b
[tex]\frac{11*6}{12*6}-\frac{1*12}{6*12}=\frac{66}{72} -\frac{12}{72} =\frac{54}{72}=.75[/tex]
b = .75
y = [tex]\frac{1}{2}+.75[/tex]
Hi someone please help
Answer:
1st one is 68 and the 2nd one is 25. hope that helps
Answer:
1. 112°2. 25°Step-by-step explanation:
1. 50° + 62° = x°
112° = x°
2. x° + 125° = 150°
x° = 150° - 125°
x° = 25°
(An exterior angle of a triangle is equal to the sum of its two interior opposite angles.)
Happy Birthday Jesus!
Don’t forget the true meaning of Christmas! May your day be filled with joy and many blessings! God bless <3
Answer:
fun fact
Step-by-step explanation:
I celebrate on christmas eve :)
german tradition
thanks and to you as well ^-^
Calculate 3 tonnes 335kg - 905kg and give the answer in tonnes
Answer:
2430kg
Step-by-step explanation:
3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430
thank you in advance to whoever answers this question !!!!
Factor each polynomial completely.
b) 5x6 - 25x5 + 30x4
+
Answer:
10x+5
Step-by-step explanation:
You add or subtract 5x by -25x by 30x to get 10x. However, then you add 6-5+4 which is 5.
Answer:
5[tex]x^{4}[/tex] (x - 3)(x - 2)
Step-by-step explanation:
5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] ← factor out 5[tex]x^{4}[/tex] from each term
= 5[tex]x^{4}[/tex] (x² - 5x + 6) ← factor the quadratic
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (- 5)
The factors are - 3 and - 2 , then
x² - 5x + 6 = (x - 3)(x - 2)
Then
5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] = 5[tex]x^{4}[/tex] (x - 3)(x - 2) ← in factored form
Which exponential expression is equivalent to the product shown 2/3×2/3×2/3×2/3×2/3×2/3×2/3?
Answer:
B. (2/3) x (2/3) x (2/3)
C. 8/27
D. 2^3 /3^3
hope this helps
please help me asapppp
ty :)
Answer:
The slope of this parallel line is 3.
Step-by-step explanation:
Parallel lines have the same slope. The given line y = 3x - 2 has the slope 3. Therefore the desired parallel line also has the slope 3. This is all that is necessary to answer this question.
The slope of this parallel line is 3.
Please HELP!!!
What are the first 4 terms of the arithmetic sequence in the graph?
Enter your answers in the boxes.
_,_,_, and _
Answer:
- 3, 1, 5, 9
Step-by-step explanation:
The first 4 terms are the values of y corresponding to x = 1, 2, 3, 4 , that is
(1, - 3 ) , (2, 1 ) , (3, 5 ) , (4, 9 )
first 4 terms are - 3, 1, 5, 9
pls help me with this:((((
Answer:
See image
Step-by-step explanation:
Use y = mx + b called the slope-intercept form of the equation because you can pick the slope and also the y-intercept right off this equation. If you know what to look for, the information is just right there waiting for you to see it.
The m is the slope, that is the number in front of the x.
The b is the y-intercept, that is the number added on at the end of the equation.
1 6. ) b) The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its weight on moon? Plzz help me
Answer:
Solution given:
weight of moon=1/6 th of Earth
If weight of Earth is 18/5 kg
weight of moon=?
we have
weight of moon: 1/6 of weight of Earth
=1/6*18/5
=3/5kg
Its weight on moon is 3/5 kg
Select the equation that contains the points (-1, -8) and (3, 4).
Find the slope of a line perpendicular to the given line. x = - 1
helppppppppppppppppppppppppppppp
Answer:C
Step-by-step explanation:
I seraph it up
Latisha works x hours a day.
No. of hours Demetrius works = x+1 a day.
No. of working days a week = 5
No. of hours Demetrius works weekly =
= 5(x+1)
which can also be written as 5x+5
So the c option is correct.
Which of the following questions can use science as a method of inquiry?
A. How many of hours of homework should be assigned each night?
B. At what age should a person be able to drive?
C. Why does a cork float in water?
D. Should pitbulls be allowed to live in cities?
Answer:
c
Step-by-step explanation:
Q). A man ₹ x. He gave half of it to his wife, 1/4th to his son and ₹1200 of his daughter. Form an equation and also find x.
Answer:
if you want simple answer then check second picture
Step-by-step explanation:
,
I need help eeeeeeeee
Answer:
one left so they all shift by 1
18)
If the circumference of a circle is changed from 9am to 3 cm, how will the diameter change?
What is the answer?
Camden and his children went into a restaurant where they sell hotdogs for $4.50 each and drinks for $1.50 each. Camden has $30 to spend and must buy no less than 8 hotdogs and drinks altogether. If xx represents the number of hotdogs purchased and y represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
-
please help!!!! include all steps please
Answer:
5
Step-by-step explanation:
4.50 + 1.50 = 6
30 / 6 = 5
answer = 5
What is the distance from point D to point C?
A.1 unit
B.2 units
C.3 units
D.4 units
Answer:
the distance from point D to point C.
B.2 units
Answer:
B:-2
Step-by-step explanation:
just count the box and you will get your answer
Is -4/19 equivalent to 4/-19
Answer:
Yes.
Step-by-step explanation:
Answer:
no.
Step-by-step explanation:
-4/19 is completely different to 4/-19.
Im not sure how to word it but they are two completely different numbers.
he first step that Sarah performed to simplify the expression StartFraction 4(6.8 minus 4.2) plus 8.2 over 2 EndFraction before entering it into the calculator is shown.
2(3.4 – 2.1) + 4.1
Which statement is true?
Sarah performed the first step correctly.
The first step should have been 2(6.8 – 4.2) + 8.2.
The first step should have been StartFraction 27.2 minus 4.2 plus 8.2 over 2 EndFraction.
The first step should have been StartFraction 4(2.6) plus 8.2 over 2 EndFraction.
Sarah performed the first step correctly.
Given the function that Sarah performed as:
[tex]\dfrac{4(6.8-4.2)+8.2}{2}[/tex]
To simplify the function, the first step Sarah carries out is to divide the numerator by 2:
[tex]\dfrac{4(6.8-4.2)+8.2}{2} \\= \frac{2(2)(2(3.4)-2(2.1)+2(4.1))}{2}\\=2(3.4 - 2.1) + 4.1[/tex]
This shows that Sarah performed the first step correctly.
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