The hourly rate is $16.11.
The following information is mentioned in the question:
Maria worked 47 hours in the last week.She paid for the overtime.The gross pay in the last week was $757.50.So, her hourly rate is
[tex]= \frac{Gross\ pay}{Number\ of\ hours} \\\\= \frac{\$757.50}{47\ hours}[/tex]
= $16.11
Here hourly rate should be measured by dividing the gross pay by the number of hours.
Therefore we can conclude that her hourly rate is $16.11
Learn more about the hourly rate here: brainly.com/question/14503751
Given:
Maria's last week working hours=47 She paid a half-hour for overtime.The gross pay for the last week = [tex]\bold{\$757.50}[/tex]Find:
hourly rate=?
Using formula:
[tex]\to \bold{\text{hourly rate}}=\frac{\text{Gross pay}}{\text{total hours}}[/tex]
[tex]=\frac{757.50}{47}\\\\= 16.117[/tex]
Therefore, her hourly rate is "16.117"
Learn more:
brainly.com/question/2691711
PLEASE HELP COMPARING RATIOS
Step-by-step explanation:
lena=45/5=9 laps per min
ann= 40/4=10 laps per min
Carmen=56/8= 7 laps per min
the fastest = ANN
Diego started with this shape Diego moves the shape down, turns it 90 degrees clockwise then moves the shape to the right
Transformation involves changing the position and/or dimension of a shape, a line or a point.
I've added as an attachment, the result of the transformation.
From the question, the following transformations were performed by Diego.
Move downward ----- > Turn 90 degrees clockwise ----- > Move to the right
Move downward
When a shape is moved downward, the new position of the shape will be directly under its previous location
Turn 90 degrees clockwise
This means that the shape will be rotated, 90 degrees to the right. However, the position of the shape will remain unchanged.
Move rightward
When a shape is moved rightward, the new position of the shape will be directly to the right of its previous location
Refer to attachment for further explanation
Read more about transformations at:
https://brainly.com/question/11709244
Write an equation of a line that is perpendicular to the line x - 4y = 12 and passes through the point (2,3)
Answer:
y = - 4x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x - 4y = 12 ( subtract x from both sides )
- 4y = - x + 12 ( divide terms by - 4 )
y = [tex]\frac{1}{4}[/tex] x - 3 ← in slope- intercept form
with slope m = [tex]\frac{1}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{4} }[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
To find c substitute 2, 3 ) into the partial equation
3 = - 8 + c ⇒ c = 3 + 8 = 11
y = - 4x + 11 ← equation of perpendicular line
The equation y + 4x = 11 is the equation of a line that is perpendicular to the line x-4y = 12 and passes through the point (2,3).
By rearranging x - 4y = 12 in the form, y = mx + c;
we have; y = (x/4) - 3
The slope, m1 from here is (1/4)
The product of the slopes of two perpendicular lines is;
m1 × m2 = -1Therefore slope, m2 = -1/(1/4)Slope, m2 = -4Therefore, the equation of the line whose slope is -4 and passes through the point (2,3) is;
-4 = (y - 3)/ (x - 2)By cross product; we have;
-4x + 8 = y - 3y + 4x = 11.
Read more;
https://brainly.com/question/13370039
integers
simplify
17-{19-2(1+3)}
Answer:
6
Step-by-step explanation:
Use PEMDAS
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
Problem: 17 - {19 - 2(1 + 3)}
Step 1:
17 - {19 - 2(1 + 3)} = 17 - {19 - 2 x 4}
Step 2:
17 - {19 - 2 x 4} = 17 - {19 - 8}
Step 3:
17 - {19 - 8} = 17 - 11
Step 4:
17 - 11 = 6
If this is correct please give me brainliest.
What’s the answer to this? Please send help
Answer:
C
Step-by-step explanation:
The difference between 7 and -14.
Numerical expression
Answer:
7-(-14)
7+14=21
Step-by-step explanation:
- and - = +
Find the values of a and b that complete the mapping diagram
Answer:
A=0
B=1
Step-by-step explanation:
Just did it (:
Answer: A = 0, and B = 1.
Step-by-step explanation: I put 0, and 1, and it was the perfect answer.
If y=3x + 5 what is the value of y when x= 12?
PLEASE HELP PLEASE!!!!!
Answer:
60x^4y^6
Step-by-step explanation:
(5xy^2)×(12x^3y^4)
=60x^(1+3)y^(2+4)
=60x^4y^6
How many solutions are there to the equation below?
14x + 5 = 14x-19
A. 1
B. infinitely many
C. 0
Answer:
0
Step-by-step explanation:
the slope is the same and the intercepts are different
Find the measure of the given angle.
Answer:
132
Step-by-step explanation:
Find the difference of the two squares x2-49
Answer:
It is (x - 7)(x + 7)
Step-by-step explanation:
[tex] {x}^{2} - 49 \\ = {x}^{2} - {7}^{2} [/tex]
from the "difference of two squares"
[tex]( {a}^{2} - {b}^{2} ) = (a - b)(a + b)[/tex]
take;
a » x
b » 7
substitute:
[tex]( {x}^{2} - {7}^{2} ) = (x - 7)(x + 7)[/tex]
An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 50 ft per sec. The height s of the ball in feet is given by the equation s =-27t2 + 50t+ 6.5, where t is the number of seconds after the ball was thrown
a) what is the initial height of the projectile?
b) what is the maximum height of the projectile? ( round to the nearest foot)
c) after how many second is the ball 12 feet above the moons surface? ( round to the nearest foot)
d) how long will it take for the ball to hit the moons surface?( round to the nearest hundredth)
Answer:
please answer me binary number multiply 11010 multiply 101
[tex]\frac{9}{20} + 2\frac{9}{10}[/tex]
Answer:
3 7/20
Step-by-step explanation:
9/20 + 2 9/10 = 9/20 + 2 18/20
= 2 + 27/20
= 2 + 1 7/20
= 3 7/20
Hello!
✥ Answer ✥
9/20 + 2 9/10 = 67/20
❀ Step-by-step explanation: ❀
1. Calculate:
9/20 + 2 9/10
9/20 + 29/10 (We amplify by 2)
9/20 + 58/20
67/20
Good luck!
If cosine theta equals two over three, what are the values of sin θ and tan θ?
Answer:
what
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 then
sin²x = 1 - cos²x
sin x = ± [tex]\sqrt{1-cos^2x}[/tex]
Given cos θ = [tex]\frac{2}{3}[/tex] , then
sinθ = ± [tex]\sqrt{1-(\frac{2}{3})^2 }[/tex] = ± [tex]\sqrt{1-\frac{4}{9} }[/tex] = ± [tex]\sqrt{\frac{5}{9} }[/tex] = ± [tex]\frac{\sqrt{5} }{3}[/tex]
Also
tanθ = [tex]\frac{sin0}{cos0}[/tex]
= [tex]\frac{\frac{\sqrt{5} }{3} }{\frac{2}{3} }[/tex]
= [tex]\frac{\sqrt{5} }{3}[/tex] × [tex]\frac{3}{2}[/tex] = ± [tex]\frac{\sqrt{5} }{2}[/tex]
solve by completing the square pls show work i will mark brainliest
Answer:
[tex]3(x-1)^2 +6[/tex]
Step-by-step explanation:
Write [tex]3x^2-6x+9[/tex] in the form: [tex]x^2 + 2ax + a^2[/tex].
Factor out 3.
[tex]3(x^2 -2x+3)[/tex]
Add and subtract [tex]\left(-1\right)^2\:[/tex].
[tex]3\left(x^2-2x+3+\left(-1\right)^2-\left(-1\right)^2\right)[/tex]
You dont have to write this section down but its for notes:
[tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]
[tex]x^2-2x+\left(-1\right)^2=\left(x-1\right)^2[/tex]
Continue writing this down to show work:
Complete the square
[tex]3\left(\left(x-1\right)^2+3-\left(-1\right)^2\right)[/tex]
Simplify
[tex]3\left(x-1\right)^2+6[/tex]
Giving Brainliest
what is 4(5+2) divided by 2?
Answer:
[tex] \frac{4(5 + 2)}{2} = \frac{20 + 8}{2} = \frac{28}{2} = 14[/tex]
I hope I helped you^_^
Solve for x: 3x - 5 + 2x = 25 - 5x
Answer:
x=3
Step-by-step explanation:
Add 2x and 3x
5x-5=25-5x
move -5x to the other side by adding 5x on both sides:
10x-5=25
Add 5 on both sides:
10x=30
Divide 10 on both sides:
x=3
Hope this helps!
Answer:
Step-by-step explanation:
5x - 5 = 25 - 5x
10x - 5 = 25
10x = 30
x = 3
Crsytal and meghan shared a sum of money 8:3 , Crystal received $135 more than Meghan. How much money was shared ?
Answer:
$2,295
Step-by-step explanation:
Meghan = x
Crystal = x + 135
[tex] \frac{8}{3} = \frac{x}{x + 135} [/tex]
[tex]8 \times (x + 135) = 3x[/tex]
[tex]8x + 1.080 = 3x[/tex]
[tex]1.080 = x[/tex]
Meghan got $1,080
[tex]1.080 + 135 = 1.215[/tex]
Crystal got $1,215
[tex]1.080 + 1.215 = 2.295[/tex]
$2,295 money was shared.
A store donates 3% of total sales to a charity. Mr. Winn bought 4 jackets at the store. Each jacket had a price $150. how much did the store donate to charity because of the jackets Mr. Winn bout?
Answer:
$18
Step-by-step explanation:
3%=0.03
$150*0.03=$4.50
$4.50*4=$18
More math for the experts!
how many zeros are in the product of any nonzero whole number less than 10 and 500?
Answer:
The product of 500 and any of these number will contain 2zeros
Which of these represents a whole number?
3.2 , 4, 8/4, 4/7
Answer:
4
Step-by-step explanation:
a whole number is a number with no fraction
4 is a whole number.
What is whole number?
Whole Numbers The numbers contain natural numbers and zero. Not a fraction or decimal. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer.
A whole number exists simply as any positive numeral that does not contain a fractional or decimal part. This indicates that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 exist as all whole numbers. Numbers such as -3, 2.7, or 3 ½ stand not whole numbers.
Hence, 4 is a whole number.
To learn more about whole number refer to:
https://brainly.com/question/585875
#SPJ2
A triangle has three angles. The first angle measures 20 less than a number. The second triangle is three
times the number. The third is the number. What are the measurements of each of the three angles in this
triangle?
Answer:
first angle is 20, 2nd is 120, 3rd is 40.
Step-by-step explanation:
with these words, "20 less than a number, Three
times the number, is the number." We can set up the equation x-20+3x+x = 180. combine like terms and we get 5x-20=180. add 20 to both sides to get 5x=200 then divide 200 by 5x to get x = 40. We can then plug 40 into each of the expressions, x-20, 3x, x, to get our angles.
f(x) = 2x2 – 7x – 6. Find f(6)
Answer:
hello, your name similarty to my name
Step-by-step explanation:
put 6 from x and to find function
f(6)= 72-42-6=24
Mario is 68.5 inches tall. Tyler is 63.25 inches tall. How much taller is Mario than Tyler
Answer:
5.25inches
Step-by-step explanation:
difference in height = 68.5-63.25 =5.25
Height of Mario Hm = 68.5 inches
Height of Tyler Ht = 63.25 inches
Evidently, Hm > Ht
Now difference = Hm - Ht = 68.5 - 63.25
= 5.25 inches
Answer: Mario is 5.25 inches taller than Tyler.
The length of a rectangle is 2 ft longer than its width.
If the perimeter of the rectangle is 56 ft, find its length and width.
Hi! I'm happy to help!
To solve this, we first need to look at the perimeter equation:
P=2L+2W
We don't know our length, so we can represent it with x. Since our width is 2 feet shorter than x, we can represent it with x-2. Now, we plug these values into our equation:
56=2x+(2(x-2))
Let's simplify what the width is by multiplying:
56=2x+2x-4
Now, let's combine our 2xs
56=4x-4
Now, we just need to solve for x in order to find our length and width.
First, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides:
56=4x-4
+4 +4
60=4x
Now, all we have to do is divide both sides by 4 and x will be fully isolated:
60=4x
÷4 ÷4
15=x
Now that we know x, let's plug this into our previous equations:
L=x=15
L=15
W=x-2=15-2=13
W=13
To verify our answers, we can plug this into our perimeter equation:
56=2(15)+2(13)
56=30+36
56=56
After double checking our answers, we know that our length is 15 and our width is 13.
I hope this was helpful, keep learning! :D
Hello!
Im beginning year 11 this year and I recently did really bad in my Mocks! I really need some help and advice for all of my subjects because I truly dont know how to revise effectively and because I keep Procrastinating!
Any advice would be appreciated or if u have links to videos and helpful websites I would appreciate it
Here are my results :
Maths : 4
Eng Language : 4
Eng Lit : 4
Chemistry : 4
Physics : 3
Biology : 3
RE: 4
Health and Social care : Level 2 Pass
History : 4
Food Tech : 4
Spanish : 4
Thank u!
Answer:
if you need help with some subjects you can come here in brainly it helps me a lot i just started grad 6 so yeah
like if you have a math question just go to ask question you and someone will help
and also explain so yeah hope i helped a little7x -3x = 20?
I do not know what this is…
7x-3x = 20
Simplify by subtracting:
4x = 20
Divide both sides by 4:
X = 5
Answer:
7x-2x=20
6x=20
6x÷6=20÷6
x=16.67
Which function describes the granh below?
Answer:
second one Step-by-step explanation: