Answer:
1. v = 3
2. y = 2
3. u = 6
Step-by-step explanation:
Pam works a 52 hours in a week. Considering that a normal work week is 40 hours and paid at $1470 per hour and overtime is paid at time and a quarter
What is her basic wage ?
How much is she paid in overtime wages? (SHOW WORK) *
What is her gross wage ?
Step-by-step explanation:
they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...
but I guess it is really $14.70 per hour, right ?
that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.
her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38
and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.
12×18.38 = $220.56
or if you need it totally precise
12×18.375 = $220.50
in total, her gross wage for that week is then
588 + 220.56 = $808.56
or totally precise with unrounded hourly rates
588 + 220.5 = $808.50
which would create a mean hourly rate
808.56/52 = $15.54923077... per hour ≈ $15.55 per hour
or
808.5/52 = $15.54807692... per hour ≈ $15.55 per hour
many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).
so, it is the question what your teacher expects here. I cannot tell from the description.
Solve this system of equations, then determine what y equals.
x + 5y= 7
2x + 4y = -4
A y=-18
B y=3
C y=8
D y=-8
[tex]x+5y = 7~~~....(i)\\\\\\2x+4y = -4~~~.....(ii)\\\\\\\text{Multiply equation (i) by 2,}\\\\\\2x+10y = 14~~~.....(iii)\\\\\\(iii) - (ii):\\\\2x+10y-2x-4y = 14-(-4)\\\\\implies 6y = 14+4\\\\\implies 6y = 18\\\\\implies y = \dfrac{18}6\\\\\implies y = 3[/tex]
$765. 13 is deposited at the end of each month for 2 years in an account paying 12% interest compounded monthly. Find the amount of the account. Round your answer to the nearest cent. A. $18,911. 18 b. $19,873. 08 c. $20,638. 21 d. $21,403. 34.
The amount of the account which is also the principal is = $3,188
The formula for calculating the simple interest (I) of an account is = P × T × R / 100
Making P the subject of formula, P = 100 × I / T×R
Where,
T = 2 years
R = 12%
I = $765. 13
[tex]p = \frac{100 \times 765.13}{2 \times 12} [/tex]
[tex]p = \frac{76513}{24} [/tex]
p = $3,188
Therefore, the amount of the account which is also the principal is = $3,188
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Please find the surface area of the prism... I will mark you brainliest
Answer:
The surface area = 548 in²
Step-by-step explanation:
The surface Area = 2lw + 2lh + 2wh using l = 10 in, w = 7 in, and h = 12in.
Substitute into the formula and solve
2lw + 2lh + 2wh
= 2· 10·7 + 2· 10 · 12 + 2 ·7 ·12
= 140 + 240 + 168
= 548 in²
23 base 10+1011 base 2=
Answer:
10111
Step-by-step explanation:
10111
What is the answer
(x+8)+4x=(7x-16)
[tex](x+8)+4x = 7x -16\\\\\implies 5x +8 = 7x -16\\\\\implies 7x -5x = 8+16 \\\\\implies 2x = 24\\\\\implies x = \dfrac{24}2\\\\\implies x= 12[/tex]
What is 1/4 + 10/16?
Answer:
[tex]\frac{7}{8}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}\ + \frac{10}{16}\[/tex]
[tex]= \frac{4}{16}\ + \frac{10}{16}\\[/tex]
[tex]= \frac{14}{16} \\[/tex]
[tex]= \frac{7}{8}[/tex]
hope it helps :)
mark brainliest!
The Wilson family invited 100 relatives to their Christmas party. 90 guests had Dutch heritage, 80 had German heritage and 75 had English heritage. What is the minimum number of people who claimed ancestry from all three heritages? What is the formula i use to find out the answer of the question? and how do i find out the answer?
Answer:
Out off 100
Step-by-step explanation:
10 don't have dutch heritage.
20 don't have German heritage.
25 don't have English heritage.
100 - 55
At minimum, 45 people have all three heritages.
the difference of a number and 7
Answer:
x-7
Step-by-step explanation:
Zero is a solution for which inequality?
4.1m > -16.4
4.1m > 16.4
-4.1m > 16.4
4.1m < -16.4
Since 0 is greater than -4 in the expression 4.1m >-16.4, hence zero is a solution to this inequality
Given the following inequality, we are to check which of them has zero as a solution.
For the expression
4.1m >-16.4
m > -16.4/4.1
m > -4
Since 0 is greater than -4, hence zero is a solution to this inequality
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plzzzzz help!! 20 points
Eric's dog gets 34.7 grams of protein in each meal. How much protein does the dog get in 4 meals?
Answer:
242.9 grams
Step-by-step explanation:
Erics dog get 34.7 grams each meal, When He gets 4x the amount all you are doing is 34.7x4 which equals 138.8 grams
HI CAN YOU PLEASE HELP ME
Answer:
11 C
12 D
13 B
14 E
15 A
Step-by-step explanation:
pure definition case. there is nothing to solve, and not really anything to explain in addition to the assigned texts.
PLEASE HELP!! With explanation/solution please!!
Step-by-step explanation:
Just sum the number of cows and buffaloes:
2p^2 - p + 4 + p^2 + p + 1 = 3p^2 +5 animals.
Answer:
Step-by-step explanation:
here is an explanation:
2p²-p+4+p²+p+1=3p²+5
You can add 2p² and p² because they are both squared (²). -p+p=0, because the first p is negative (-). Lastly, you can add 4+1=5. Hope this helped! Lmkp if you are still confused :) <3
How do I find the equation of the line?
Answer:
1.Identify the slope.
2.Identify the point.
4.Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
5.Write the equation in slope-intercept form.
Step-by-step explanation:
Answer:
y=-\frac{2}{3}x+3
Step-by-step explanation:
[tex]y=mx+b[/tex]
There are 4 variables in this equation, and 3 of them are already given. We already have the slope and the (x, y) of a known point. Plug those 3 into the equation and solve for b:
[tex]7=-\frac{2}{3}(-6)+b\\7=4+b\\b=3[/tex]
Now, with the slope and the y-intercept, you can write the equation of the line:
[tex]y=mx+b\\\\y=-\frac{2}{3}x+3[/tex]
ASAP HELP PLEASE SHOW ALL WORK
*Find the value of x. Show all the work
The line of length 48 is passing through the midpoint of traingle so it's half of base
[tex]\\ \sf\longmapsto \dfrac{3x}{2}=48[/tex]
[tex]\\ \sf\longmapsto 3x=96[/tex]
[tex]\\ \sf\longmapsto x=32[/tex]
Will give thank,brainly and 5 stars!
The second and last one.
The second one multiplies the cost of each type of ticket by two, therefore saying that you wanted to buy two of each type of ticket.
The last one multiplies the cost of a single ticket of all three types and multiplies it by 2.
Answer:
The second and last one
Step-by-step explanation:
Hope this helps and have a good day!
What is 2log5(5x^3)+1/3log5(x^2+6)
Answer:
Ill help you if you come help me with mine c:
Step-by-step explanation:
here is mine:
The values of f(x) and g(x) are shown for selected values of x in the table below.
x f(x) g(x)
0 0 1
1 3 2
2 6 4
3 9 8
4 12 16
Of these two functions, one is exponential and the other is linear. Determine which of the functions is linear, and explain why this must be the case.
the function f(x)= (x-8) (x+2) (x+3) has which zeros
Answer:
(8, 0)
(-2, 0)
(-3, 0)
Step-by-step explanation:
x - 8 = 0
x = 8
x + 2 = 0
x = -2
x + 3 = 0
x = -3
[tex](x-8)(x+2)(x+3) =0\\\\\implies x -8 =0~~~ \text{or}~~~x+2 =0 ~~~ \text{or}~~~x+3 = 0\\\\\implies x = 8 ~~~~~~~~ \text{or}~~~~~~x = -2 ~~~ \text{or}~~~ x = -3\\\\\\\text{Hence the roots are}~ 8, -2 ~\text{and} ~-3[/tex]
Find the value of r in the isosceles triangle shown below.
8
8
6
Answer:
r = 6
.....................
How to solve the function problem for this one?
Answer:
a. f(12) = - 1
b. x = 27 when f(x) = 4
Step-by-step explanation:
We are given that [tex]f(x)=\frac{1}{3} x-5[/tex] and we want to find f(12) and f(x) = 4
To find f(12) we simply plug in 12 into x and evaluate it
[tex]f(x)=\frac{1}{3} x-5[/tex]
plug in 12
[tex]f(12)=\frac{1}{3} (12)-5[/tex]
multiply 12 and 1/3 to get 4
[tex]f(12)=4-5[/tex]
subtract 5 from 4 to get -1
[tex]f(12)=-1[/tex]
Now we want to find the value of x when f(x) = 4
To do this we substitute 4 for f(x) and solve for x
[tex]f(x)=\frac{1}{3} x-5[/tex]
substitute 4 for f(x) and solve for x
[tex]4=\frac{1}{3}x -5[/tex]
add 5 to both sides
[tex]9=\frac{1}{3} x[/tex]
multiply both sides by 3
27 = x
And we are done.
So f(12) = -1 and x = 27 when f(x) = 4
For a plug in 12 for x:
f(12) = 1/3(12)-5
f(12) = 4-5
f(12) = -1
For b plug in 4 for x:
f(4) = 1/3(4)-5
f(4) = 4/3 -5
f(4) = 0.75-5
f(4)= -4.25
Fill in the blanks with the answer to each question based on information provided.Two toy robots are having a race. Robot A can go 14 meter in 15 seconds. Robot B can go 1 meter in 50 seconds.1) If Robot A continues at that same speed, how long will it take to go 1 meter? Remember units! __________2) How long for Robot A to go 4 meters at that speed? Remember units! _________
Answer:
1 1/14 seconds4 2/7 secondsStep-by-step explanation:
We are being asked for times, so we can express the rate in terms of seconds per meter.
(15 seconds)/(14 meters) = (15/14) seconds per meter = 1 1/14 seconds/meter
__
1) It will take Robot A 1 1/14 seconds to go 1 meter.
2) it will take Robot A 4 2/7 seconds to go 4 meters. (4 times as long)
what is the value of the expression 5 + 6 x (5 - 2) + 9
NAME THE PARTS OF THE CIRRCLR
a) Point O
b) [tex]\overline{OB}[/tex]
c) [tex]\overline{AB}[/tex]
4) arc DE (m)
5) [tex]\overline{DE}[/tex]
6) Semicircle AEB
What is the height of the box?
A. 15 in.
B. 30 in.
C. 50 in.
D. 100 in.
help please
The serving size for a toddler’s daily vitamin C is 4/5 cup of orange juice. If there are 3 1/4 cups of orange juice, how many servings of vitamin C are there for a toddler? Show your work
Answer:
3
Step-by-step explanation:
First you change 2 1/4 into an improper which is 9/4. Then you do KFC(Keep Change Flip) 9/4 x 4/3=36/12. THEN YOU SIMPLIFY=9/3,that can still be simplified so the final answer is 3.Its 3 because there are 3 wholes in 9/3.
During crawfish season, Xavier sells crawfish for $62. 50 per sack and charges a $20. 00 delivery fee. Write an equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer.
The equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x
Given:
cost per sack of crayfish = $62. 50
Delivery fee = $20. 00
y = Total cost
x = sacks of crawfish
The equation:
Total cost = Delivery fee + cost per sack of crayfish(sacks of crawfish)
y = 20 + 62.50x
Therefore, the equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x
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WILL GIVE BRAINLIESTTT!!!!!!!!!
Find the solution of the system of equations.
6x+y=30
-2x-5y=18
Answer:
x-y=12 or x=12+y??????
Step-by-step explanation:
6x+y=30
-2x-5y=18
Add the equations up: 4x-4y=48
Divide by 4
x-4y=12
Divide by 4 again
x-y=12
+y on both sides
x=12+y
(I might be wrong)
Answer:
[tex]x=6; y=-6[/tex]
Step-by-step explanation:
Unless you're required to use any particular method, let's add the first to twice the second to eliminate x:
[tex]6x+y-6x-15y=30+54 \rightarrow -14y=54 \rightarrow y=-6[/tex]
At this point let's plug this value of y in the first equation and find x:
[tex]6x+(-6)=30 \rightarrow x-1=5 \rightarrow x=6[/tex]
Which rule describes the composition of
transformations that maps AABC to AA"B"C"?
R0, 9000rx-axis(x, y)
Orx-axis Ro, 900(x, y)
RO, 1800 orx - axis(x, y)
Orx-axis Ro, 1800(x, y)
Answer:
The second one: r x-axis. R 90(x,y)
Step-by-step explanation:
You can see that from ABC to A'B'C', it's rotated a positive 90 degrees. then, from A'B'C' to A"B"C", reflected across x-axis. and when writing the transformation, it goes by last to first. that's why the R 90 comes first.
The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,
⇒ r _ x-axis. R _ 90(x, y)
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
To find the rule which describes the composition of transformations that maps ΔABC to ΔA"B"C".
Now, You can see that from ABC to A'B'C',
it's rotated a positive 90 degrees.
And, Then, from A'B'C' to A"B"C", reflected across x-axis.
Now, when writing the transformation, it goes by last to first. that's why the R 90 comes first.
Thus, The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,
⇒ r _ x-axis. R _ 90(x, y)
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Which expression shows a way to factor 20+24?
Answer:
20+24= 2(10+12) = 4(5+6)
Those are two ways to factor 20+24.
f(-3)
f(x)= 3 to the power of x