singh works at a restaurant where he is paid by the hour plus time and a half for his hours over 40. last week he worked four hours overtime and his gross pay was $391.00. What is his hourly wage
Answer:
$8.5 per hour
Step-by-step explanation:
Number of overtime hours = 4 hours
Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours
Total amount earned = $391
Let Hourly pay = x
Overtime pay = 1 1/2x = 3/2x
Therefore ;
40x + (4*3/2x) = 391
40x + 6x = 391
46x = 391
x = 391 / 46
x = 8.5
Hourly pay = $8.5 per hour
Ms. Garcia watched 6 commercials
during a 24-minute program. At that rate, how many
commercials would she watch in an hour?
Answer:
15 commercials
Step-by-step explanation:
6 commercials --> 24 minute
x commercials --> 60 minute(1 hour)
x*24 = 6*60
clear x
x = (6*60)/24
x= 15
see the picture please!!
Answer:
the first one its true
y of A greater than the y of B
Consider the dataset below and respond to the questions that follow: Advertisement ($'000) Sales ($'000) 1068 4489 1026 5611 767 3290 885 4113 1156 4883 1146 5425 892 4414 938 5506 769 3346 677 3673 1184 6542 1009 5088 Construct a scatter plot with this data. Do you observe a relationship between both variables
Answer:
The scatter plot is attached in the image
There exists a positive linear relationship between the two variables i.e sales and advertisements.
Step-by-step explanation:
The scatter plot is attached in the image
There exists a positive linear relationship between the two variables i.e sales and advertisements.
The total cost (in dollars) for a company to manufacture and sell x items per week is C=40x+180, whereas the revenue brought in by selling all x items is R=68x−0.4x2. How many items must be sold to obtain a weekly profit of $300?
Answer:
The company needs to sell either 30 or 40 items.
Step-by-step explanation:
We are given that the cost for selling x items given by the function:
[tex]C(x)=40x+180[/tex]
And the revenue for selling x items is given by:
[tex]R(x)=68x-0.4x^2[/tex]
The profit function is the cost function subtracted from the revenue function:
[tex]P(x)=R(x)-C(x)[/tex]
Substitute and simplify:
[tex]\displaystyle \begin{aligned} P(x)&=(68x-0.4x^2)-(40x+180)\\&=68x-0.4x^2-40x-180\\&=-0.4x^2+28x-180\end{aligned}[/tex]
To find how many items must be sold in order to obtain a weekly profit of $300, we can let P equal 300 and solve for x. So:
[tex]300=-0.4x^2+28x-180[/tex]
Solve for x. Subtract 300 from both sides:
[tex]-0.4x^2+28x-480=0[/tex]
We can divide both sides by -0.4:
[tex]x^2-70x+1200=0[/tex]
Factor:
[tex](x-40)(x-30)=0[/tex]
Zero Product Property:
[tex]x-40=0\text{ or } x-30=0[/tex]
Solve for each case:
[tex]x=40\text{ or } x=30[/tex]
So, in order to obtain a weekly profit of $300, the company need to sell either 30 or 40 items.
Consider a process that includes careful testing of each manufactured defibrillator. Listed ( below are the numbers of defective defibrillators in 20 successive batches of 10,000. Find the values you would use for the centerline, the upper control limit, and the lower control limit.
20 14 22 27 12 12 18 23 25 19 24 28 21 25 17 19 17 22 15 20
a. p = 0.040000
UCL 0.041 039, LCL = 0.03 8961
b. p 0.002000
UCL= 0.003340, LCL= 0.000660
c. p=0.0020000
UCL = 0, 021200, LCL = 0
d. p 0.040000
UCL = 0.041470, LCL = 0.038530
Which type of correlation does the scatter plot show
Answer:
D
Step-by-step explanation:
From the given scatter plot, it is positive correlation.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
Interpretation of correlation
A scatter plot with increasing values of both variables can be said to have a positive correlation. A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.From the given graph,
The coordinates points are in increasing order.
Therefore, the correlation is positive.
To learn more about the scatter plot visit:
https://brainly.com/question/29231735.
#SPJ6
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
Assume that you take out a $3000 loan for 30 months at 8.5% APR. What is the monthly payment? (Round your answer to the nearest cent.)
Answer:
111.35
Step-by-step explanation:
effective rate: .085/12= .00708333333333
[tex]3000=x\frac{1-(1+.00708333333333)^{-30}}{.00708333333333}\\x=111.35[/tex]
(a[tex]x^{2} x^{2} 3[/tex]
Answer:
[tex]3a {x}^{4} [/tex]
Step-by-step explanation:
remeber that idical laws
[tex] {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]
An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
35.5%
3.33%
3.23%
37.2%
Answer: 3.33% (choice B)
===================================================
Work Shown:
A = true value = 60
B = estimated or measured value = 62
C = percent error
C = ( |A-B|/A ) * 100%
C = ( |60-62|/60 ) * 100%
C = (2/60)*100%
C = 0.0333*100%
C = 3.33%
The result is approximate.
210
What is the arc length when
=
and the radius is 6 cm?
Answer:
ans : option 2nd
Step-by-step explanation:
total angle substand perimeter of circle so,
so solve by using unitary methods
The following set of data represents the ages of the women who won the Academy Award for Best Actress from 1980 - 2003:
31 74 33 49 38 61 21 41 26 80 42 29
33 35 45 49 39 34 26 25 33 35 35 28
Make frequency table using # of classes as per the following criteria:
i) if you are born in Jan, Feb, Mar: No of classes = 5
ii) if you are born in Apr, May, Jun: No of classes = 6
Answer:
Step-by-step explanation:
Given the data :
Using 6 classes :
Class interval ____ Frequency
21 - 30 _________ 6
31 - 40 _________ 10
41 - 50 _________ 5
51 - 60 _________ 0
61 - 70 _________ 1
71 - 80 _________ 2
i need help on this one please help! (listing BRAINLIST and giving points) :D
Answer:
2
Step-by-step explanation:
The larger triangle is a scaled version of the smaller one since all the angles are the same. Just the sides are different.
All angles are same: vertical angles are the same, right angles in both triangles, the last angle in both triangles have to be the same if the other angles were the same.
The side proportions are the same.
x/2.5 = 6/7.5
solve for x:
7.5x = 15
x = 2
the ratio of the following 30 minutes to 2 hours.
Answer:
30 minutes to 120 minutes.
Step-by-step explanation:
Answer:
2 hrs=120 min
30:120=1:4
Step-by-step explanation:
ans is 1:4
marke brainliest plzzzzzzz
Rivers created a model of her school building. A prism has a length of 5 inches, height of 1 inch, and width of 3 inches. What is the surface area of the model Rivers made? 9 square inches 31 square inches 46 square inches 52 square inchesv
Answer:
46
Step-by-step explanation:
Answer:
c. 46
Step-by-step explanation:
On Edge
Someone help me please!!!
Answer:
Domain: 2<x<7
Range: 1<y<2
Step-by-step explanation:
Range is the y value but domain is the x value
Mark me Brainliest if this works! Thanks!
( 2, 1 ) and ( 7, 2)
Domain - 2 and 7
Range - 1 and 2
I hope you understand...
Mark me as brainliest...
Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have scored 4 goals? Why or why not?
Answer:
no
the goal total would be too high
Step-by-step explanation: If Sadie had scored 4 goals, Connor would have scored 2 times 4 = 8 goals. Their goal total would then be 4+8 = 12, not 9. Sadie cannot have scored 4 goals.
__
If we let s represent the number of goals Sadie scored, then 2s is the number Connor scored. Their total is ...
s + 2s = 9
3s = 9 . . . . . . collect terms
s = 9/3 = 3 . . . divide by the coefficient of s
Sadie scored 3 goals. (s=4 is not the solution to the problem)
Do u know this question
Answer:
a rectangle
Step-by-step explanation:
because 2 sides are the same the other 2 arent it has four sides with straight angles
Answer:
B.
Step-by-step explanation:
if the mean of a &n B is 20. the mean of B&C is 24 and the mean of AB&C is 18. what is the mean of A&C?
Answer:
below
Step-by-step explanation:
that is the procedure above
if I buy a dozen cupcakes for $16.80, How much will 16 cupcakes cost.
Answer:
i aint gon lie evolution and natural selection?
Step-by-step explanation:
Find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
x = 3
Step-by-step explanation:
both angles together equal 180
Set your formula as
180 = 5x + 165
180 - 165 = 5x
15 = 5x
15/5 = x
3 = x
Answer:
[tex]x[/tex] = 3
Step-by-step explanation:
180° - 165° = 15°
[tex]5x[/tex] = 15
[tex]x[/tex] = 3
(2104ft)(1 yd/3 ft)(1 football field/100 yds
9514 1404 393
Answer:
7 1/75 football fields
Step-by-step explanation:
Multiply it out. The units of feet and yards cancel, leaving football fields.
= (2104·1·1)/(3·100) football fields ≈ 7.0133... football fields
= 7 1/75 football fields
Some help with this pleaseee!
Answer:
g(x) = |x| + 7
Step-by-step explanation:
Adding the constant +7 on the end of the equation means a translation 7 units up.
Here are the population figures of five different cities. 371,265 635,155 226,710 468,920 724,435 What is the difference between the largest population and the smallest population?
Answer:
497,725
just subtract smallest from largest to get the difference
724,435 - 226,710
Answer:
largest population 724,435Smallest population 226,710What is the slope formula?
Answer:
(y2-y1)/(x2-x1)
Step-by-step explanation:
The slope is the change in y over the change in x
(y2-y1)/(x2-x1)
where ( x1,y1) and (x2,y2) are two points on the line
Answer:
O A. [tex]\frac{y2-y1}{x2-x1}[/tex]
Step-by-step explanation:
This is just about how the Slope-Formula works
ok so you get two points off a graph then you use it to plot it in the Slope-Formula like this
for example imma go with (-2, 5) and (3, 7)
I need to subtract 7 - 5 / 3 - -2. so...
m = slope
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{7-5}{3--2}[/tex] Only add the denominators when there's 2 - signs together
m = [tex]\frac{2}{5}[/tex]
Find the equation of the line that passes through points A and B.
Answer:
[tex]y=2x+5[/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 x is 0)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-3,-1) and (1,7)
[tex]m=\frac{7-(-1)}{1-(-3)}\\m=\frac{7+1}{1+3}\\m=\frac{8}{4}\\m=2[/tex]
Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=2x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=2x+b[/tex]
Plug in one of the given points and solve for b
[tex]7=2(1)+b\\7=2+b[/tex]
Subtract 2 from both sides to isolate b
[tex]7-2=2+b-2\\5=b[/tex]
Therefore, the y-intercept is 5. Plug this back into [tex]y=2x+b[/tex]:
[tex]y=2x+5[/tex]
I hope this helps!
please answer this thank you
Answer:
diameter [d]=15cm
radius [r]=7.5cm
slant height be l
and
height be h.
lateral surface area of cone =
πrl=477cm²
l=477/(3.1416*7.5)
l=20.244
now
h=[tex]\sqrt{20.2²-(7.5/2)²}=20cm[/tex]
height=20cm.
LSA of cone = πrl = 477cm²
L = 477/(3.1416 × 7.5)
L = 20.244
Height (h) = √{20.2²-(7.5/2)²}
h = 20cm
Write the number 0.000 378 21 in standard form.
help please
Answer:
3.7821 (SDF)
Step-by-step explanation:
Take the number by 378 21 and place it in the right forms/place marks. Such as ones and tens place ect. Then there is your answer.
Only answer if you're very good at Math.
Given f(x) = x + 1 and g(x) = x^2, what is
( g o f) (x)?
A: ( g o f) (x) = x^2 + 1
B: ( g o f) (x) = ( x + 1)^2
C: ( g o f) (x) = x^2 + x + 1
D: ( g o f) (x) = x^2 ( x + 1)
Answer:
The answer is B: ( g o f) (x) = ( x + 1)^2
Explanation:
⟹ (g ∘ f) (x) = g [f (x)]
Replace x in g(x) = x^2 with x+1
= ( x + 1 ) ^2
What does factoring a polynomial involve?
Answer:
ANSWER BELOW↓
Step-by-step explanation:
Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication. We have seen several examples of factoring already. However, for this article, you should be especially familiar with taking common factors using the distributive property.