Marsha earns $3.40 an hour plus $.20 for each unit produced. One week
she worked 40 hours and produced 280 units. What was her weekly wage?
a. $192
b. $56
c. $136
d. $144
Answer:
$192
Step-by-step explanation:
→ Set up equation
3.40h + 0.20u
→ Substitute in the numbers
( 3.40 × 40 ) + ( 0.20 × 280 )
→ Simplify
192
Answer:
192
Step-by-step explanation:
Make a formula, multiply the hourly wage by the number of hours she worked and add that to the number unit price multiplied by the number of units assembled. Then you 192
Find the midpoint of the line segment with end coordinates of: ( 2 , 0 ) and ( 8 , 8 )
Answer:
mid point is (1, 8)
Step-by-step explanation:
[tex]{ \bf{midpoint = ( \frac{x_{1} + x _{2} }{2} , \: \frac{y _{1} + y _{2} }{2} ) }}[/tex]
x1 is 2
x2 is 0
y1 is 8
y2 is 8
[tex] = ( \frac{2 + 0}{2} , \: \frac{8 + 8}{2} ) \\ \\ = ( \frac{2}{2} , \: \frac{16}{2} ) \\ \\ = (1, \: 8)[/tex]
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips,
style of car and other features. The distribution of the number of months in service for the fleet of cars is
bell-shaped and has a mean of 63 months and a standard deviation of 11 months. Using the 68-95-99.7 rule,
what is the approximate percentage of cars that remain in service between 30 and 52 months?
Do not enter the percent symbol.
ans =
%
This value is approximate.
====================================================
Explanation:
mu = 63 = population meansigma = 11 = population standard deviationLet's convert x = 30 to its corresponding z score
z = (x-mu)/sigma
z = (30-63)/11
z = -33/11
z = -3
This score is 3 standard deviations below the mean.
Repeat for x = 52
z = (x-mu)/sigma
z = (52-63)/11
z = -11/11
z = -1
This score is 1 standard deviation below the mean.
The task of finding P(30 < x < 52) is the same as P(-3 < z < -1)
We converted to z scores so we could use the Empirical Rule.
Refer to the chart below. We'll be focusing on the left green portion that is between z = -3 and z = -2 and the left blue portion which is between z = -2 and z = -1.
Those two approximate areas add to: (2.35%) + (13.5%) = 15.85%
Three tiles of thickness 20 mm, 17 mm and 8 mm are piled on the top of each other. What is the total thickness of pile in cm?
Answer:
4.5 cmStep-by-step explanation:
Givens: 20 mm, 17 mm and 8 mmOperations: Addition and DivisionSolutions: 20 + 17 + 8 = 45 mm45 mm ÷ 10 = 4.5 cmAnswer: 4.5 cm[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Length of path for the above example
Answer:
D. 25.5 m
Step-by-step explanation:
5.5m+5.5m=11m
4.5m-1m= 3.5m
3.5m+3.5m=7m
The middle vertical path is 3.5m
the middle horizontal path is 5.5m-1.5m=4m
The sum of all is 25.5m
Find the volume of this figure.
[?] = cubic units
The volume of the given figure us = 36 cubic units
Volume of a rectangular prismThe formula for calculating the volume of rectangular prism is expressed as:
V =lwh
where
l is the length
w is the width
h is the height
T of the given figure is expressed as:
V = 2(3)(5) + 2(3)(1)
V = 30 + 6
V = 36 cubic units
Hence the volume of the given figure is 36 cubic units
Learn more on volume of prism here: https://brainly.com/question/23963432
#SPJ6
Solve x2 = 144.
O 72
O 12
+12
O-12
Answer:
x = ±12
Step-by-step explanation:
x^2 = 144
Take the square root of each side
sqrt(x^2) = sqrt(144)
x = ±12
Answer:
Choice 3
Step-by-step explanation:
[tex]\sqrt{144}[/tex] is the selected answer on the image since a squared can end up as regardlessly positive, whether it is negative or positive.
Simplify an expression for the perimeter of the rectangle.
W = 24.6x - 10.4
L = 7x + 3.1
The expression for the perimeter of the rectangle is 63.2x - 14.6.
Given that,
Width = W = 24.6x - 10.4Length = L = 7x + 3.1We Know that
Perimeter of the rectangle is
[tex]= 2(l+w)\\\\= 2 (7x + 3.1 + 24.6x - 10.4)\\\\= 2(31.6x - 7.3)[/tex]
= 63.2x - 14.6
Here the above formula should be applied for measuring the perimeter of the rectangle.
Therefore we can conclude that The expression for the perimeter of the rectangle is 63.2x - 14.6.
Learn more about the rectangle here: brainly.com/question/16167300
Answer:
24.3
Step-by-step explanation:
First you solve the sides:
24.6-10.4 =14.2
7+3.1=10.1
After that ,you will add because perimeter is adding up the side lengths of various shapes.
14.2+10.1=24.3
I need the answer, please help!!!
Step-by-step explanation:
0.5 goes first
0.44 goes second
2/5 goes third
3/8 goes fourth
What is the area of BCD?
A. 36 square units
B. 32 square units
C. 16 square units
D. 72 square units
Answer:
in this figure B: 32 square units
Write down a multiple of 4 between 29 and 37 ?
Answer:
8 or 9
Step-by-step explanation:
4 times 8 equals 32, and 4 times 9 equals 36
1x
Identify the domain of the function.
A)
(-2,4)
B)
(-3,3)
[-2.4)
The domain is a description of the x-values used in the graph. It's the "how far left and right does the graph go?" description.
In the attached graph, you'll see this highlighted against the x-axis.
How far left does the graph go? How far right? Does it include the endpoints?
Please someone help me.
Answer:
I will help
Step-by-step explanation:
Based on the graph, is there an association between
eating a mint and getting a correct guess?
Does eating a mint affect a person's taste buds? To
answer this question, students were randomly placed
into two groups. One group had to eat a mint, and the
other did not. Then all the students were given a cup
that had one of two brands of ice tea. Students were
asked to guess which brand of ice tea they had. The
results are displayed below.
There is an association because the distribution of
correct guesses differs among the mint groups.
There is an association because the distribution of
correct guesses is the same among the mint groups
O There is no association because the distribution of
correct guesses differs among the mint groups.
O There is no association because the distribution of
correct guesses is the same among the mint groups.
Effect of Mints on Taste
100
Incorrect
Relative Frequency
50
Correct
Mark this and return
Save and Exit
Net
Submit
Answer: There is an association because the distribution of correct guesses is the same among the mint groups.
Step-by-step explanation:
We would have to see the graph but I know it's either B or C because the other answer choices don't make sense. I chose B because it seems like the most logical choice of the two.
y+5=3/2(x-7) write in y=mx+b form
Answer:
[tex]y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Notice how y is isolated in slope-intercept form.
[tex]y+5=\displaystyle \frac{3}{2} (x-7)[/tex]
To change this into slope-intercept form, isolate y.
Use the distributive property on the parentheses:
[tex]y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}[/tex]
Subtract 5 from both sides:
[tex]y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
I hope this helps!
which of these is right
Answer:
A
Step-by-step explanation:
For each point along it goes 1 point up, if it was 4x it'd go 4 points up
Find the smallest value of k such that 525k is a perfect cube
Answer:
If u decompose in prime factors,u get 175=52•7 so the smallest perfect cube is the number that we must multiply by 5 and by 7 so to create the smallest perfect cube,i.e. 53•73. This number is K=5•72=245
What would the value of a equal so the linear function ay - 2x = 9 is parallel to a line with a slope of 2/3?
Answer:
y = [tex]\frac{2}{3} x + 9[/tex]
Step-by-step explanation:
I. If y = mx + b
when y is output, x is input , m is slope and b is addition
so y - 2x = 9
y = 9 + 2x
y = 2x + 9
Replace 2 with [tex]\frac{2}{3}[/tex]
y = [tex]\frac{2}{3} x[/tex] + 9
Answer:
a is 3
Step-by-step explanation:
[tex]ay - 2x = 9 \\ ay = 2x + 9 \\ y = \frac{2}{a} x + \frac{9}{a} [/tex]
General equation:
[tex]{ \bf{y = mx + c}}[/tex]
m is slope; m = ⅔
by comparison:
[tex] \frac{2}{3} = \frac{2}{a} \\ \\ 2a = 6 \\ a = 3[/tex]
Simplify: a(3+5a)-4(a2+5)
Answer:
[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]
Step-by-step explanation:
We want to simplify the expression:
[tex]a( 3 + 5a) - 4(a^2 +5)[/tex]
Distribute:
[tex]\displaystyle = (3a + 5a^2) + ( -4a^2 - 20)[/tex]
Rearrange:
[tex]\displaystyle = (5a^2 - 4a^2) + (3a) + (-20)[/tex]
Combine like terms:
[tex]\displaystyle = a^2 + 3a -20[/tex]
In conclusion:
[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]
Instructions
Solve the following problem and choose the best answer.
Question
Which of the following points (x,y) lies on the graph of 8x + 2y = 24?
0 (-1, 8)
O (2,8)
O (6.-12)
O (8, 2)
Answer:
O (6, -12)
Step-by-step explanation:
For 8x + 2y = 24, the point (6, -12) lies in the graph.
What is the equation of the line that passes through the point ( − 4 , 8 )and has a slope of − 1/4
Answer:
y = -1/4x + 7
Step-by-step explanation:
Plug in the point and slope into y = mx + b, and solve for b:
y = mx + b
8 = -1/4(-4) + b
8 = 1 + b
7 = b
Plug in the slope and b into y = mx + b:
y = mx + b
y = -1/4x + 7
So, the equation of the line is y = -1/4x + 7
order pair for x-3y=6
Answer:
X=6+3y
y=x-6/3
Step-by-step explanation:
1)x-3y+3y=6+3y
x=6+3y
2)3y+6=x
3y=x-6
y=x-6/3
Urgent help please please please❤️Urgent
Answer:
Step-by-step explanation:
Remember:
[tex]cos(2A)=cos(A+A)=cos^2(A)-sin^2(A)=2cos^2(A)-1\\\\cos^2(A)=\dfrac{cos(2A)+1}{2} \\\\cos(A)=\pm\sqrt{\dfrac{cos(2A)+1}{2}} \\\\[/tex]
[tex]cos (\dfrac{A}{2} )=\pm\sqrt{\dfrac{1+cos(A)}{2} } \ with \left\{\begin{array}{c} \ +:\ if \frac{A}{2} \ is\ in\ I\ or\ IV\ quadran\\\ -:\ if \frac{A}{2} \ is\ in\ II\ or\ III\ quadran\\\end{array}\right.[/tex]
[tex]cos(\pi)=-1\\\\cos(\dfrac{\pi}{2} )=+\sqrt{\dfrac{1+(-1)}{2}} =0\\\\cos(\dfrac{\pi}{4} )=+\sqrt{\dfrac{1+0)}{2}} =\dfrac{\sqrt{2} }{2} \\[/tex]
[tex]cos(\dfrac{\pi}{8} )=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2})}{2}} =\sqrt{\dfrac{1}{2} +\dfrac{\sqrt{2} }{4} }=\dfrac{1}{2} \sqrt{2+\sqrt{2} } \\\\\\cos(\dfrac{\pi}{16} )=\sqrt{\dfrac{1+\dfrac{1}{2}*\sqrt{2+\sqrt{2} } }{2}}\\\\\\=\sqrt{\frac{1}{2} +\frac{1}{4}*\sqrt{2+\sqrt{2} } } \\\\\\=\dfrac{1}{2}*\sqrt{2+\sqrt{2+\sqrt{2} } } \\\\[/tex]
The sum of two and four and six times eight?
Answer:
2+4 6(8)
Step-by-step explanation:
pls give brainliest
Answer:
2+4=6/6×8=48
hope this helped
5. You are traveling along at 27 meters per second when you notice a stop light ahead, you deceleration to 0m/s
in 3 seconds. What is your acceleration?
Step-by-step explanation:
initial velocity= 27
final velocity= 0
time = 3 sec
now
a= 0-27/3
a=-9 m/s^2
smallest to largest. 14/5, 2.4, 2 1/3, 1.41
even numbers are closed under addition? true or false
Even numbers are closed under addition.
Answer: True
Answer:
Even numbers are closed under addition.
Answer: True
Step-by-step explanation:
once second I'm ggettin the question
Answer:
0.51
Step-by-step explanation:
-32÷(-61)
in this case the subtraction have to cancel themselves
so it'll remain
32÷61
=0.508
approximately ~=0.51
Simplify the given expression. Assume x = 0
-2
20r-3
10x-1
2
4
Answer:
x⁴/4
Step-by-step explanation:
(20x‐³/10x‐1)‐²
= > 20/10 = 2
so = (2x-³/x-¹)-²
= (2/x²)-²....................(a/b)-²=(b/a)²
= (x²/2)²
= x⁴/2
How do i solve this?
Answer:
1.-4
2.7
3.-11
4.18
5.13
Step-by-step explanation:
0-4=-4
-2+9=7
-2-9=-11
5+13=18
-10+23=13