[tex]7^5 \cdot \dfrac{7^3}{7^2}\\\\=7^5 \cdot 7^{3-2}\\\\=7^5 \cdot 7^1 \\\\=7^{5+1}\\\\=7^6[/tex]
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.
Prism A and Prism B have the same volume. Which could be the dimensions of Prism B?
Prism A:
length = 8 feet
width = 4 feet
height = 5 feet Prism B:
length=? feet
width=? feet
height=? feet
Answer:
length = 20 ftwidth = 20 ftheight = 0.4 ftStep-by-step explanation:
The volume of Prism A is ...
V = LWH
V = (8 ft)(4 ft)(5 f) = 160 ft³
Any set of dimensions that have a product of 160 ft³ will give a prism with the same volume. You could have, for example, ...
length = 20 ft
width = 20 ft
height = 0.4 ft
Step-by-step explanation:
We know that
Volume of prism = lwh
=> 8 × 4 × 5
=> 32 × 5
=> 160 ft³
So,
The possible length, height and width could be
Length = 10 ft
Breadth = 8 ft
Height = 2 ft
Given that Ax - 4x² + 3x² + 4 = (x² - 2x + 1)(2x² + B) + C(x-1) + D for all values of x, evaluate A, B, C and D. Hence, deduce the remainder when Ar-4x+3x²+4 is divided by 2x² + B.
SANA MAKATULONG
#CARRYONLEARNING
pls help for 50 pts!!!!!!!!!!!!!
Answer:
w is 22.5°
See solution in the photo
Answer:
22.5⁰
Step-by-step explanation:
<Q = <S = 5w⁰
<R + <S = 180 (Linear pair)
3w + 5w = 180
8w = 180
w = 180/8
w = 22.5⁰
PLEASE HELP TEST DUE SOON⚠️
What is the equation for the line in slope intercept form
Answer:
The answer should be [tex]y=mx+b[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex] is the only thing I can think of when your talking about the equation of the line in intercept form, but I'm 85% sure this is correct.
Hope this helps!
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Which is greater?
48 fl oz
10 3/4 c
At a glass vase factory, 2 out of the last 10 vases produced were chipped. What is the experimental probability that the next vase will be chipped?
Answer:
there is a 20% chance that a vase will be cracked
Step-by-step explanation:
Answer:
2/10 = 1/5 = 0.2 = 20%
Step-by-step explanation:
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.
Answer:
250 because 250 times .4 equals 100
Step-by-step explanation:
if 4.5 pounds of cherries cost $10 , what is the unit price per pound ? A.$0.22 B.$0.45 C. $2.22
Answer:
C
Step-by-step explanation:
Divide the price by the weight 10 / 4.5 = $2.22 per pound
A hen costs $4 and chicks are sold at 3 for $2. A farmer paid $100 exactly for 80 of these birds. How many of each type did he buy?
Answer:
Above is the answer, coupled with a detailed step-by-step explanation. Thank you!
5+2x=2x+6
do anyone know the answer
Answer:
no solutions
Step-by-step explanation:
5+2x = 2x+6
Subtract 2x from each side
5+2x-2x = 2x+6-2x
5 = 6
This is not a true statement so there are no solutions
Which expression is equivalent to 6x-9/3
Answer:
option A is the answer 2x-3
Answer:
2x-3
Step-by-step explanation:
(6x-9)/3
This can be simplified to
6x/3 - 9/3
2x -3
a water truck is filling a swimming pool
solve this
x2 + 14 x + 33 = 0
Answer:
-11, -3.
Step-by-step explanation:
x^2 + 14x + 33 =0
To factor this we need 2 numbers whose product is 33 and whose sum is 14 .
These are 3 and 11, so:
(x + 3)(x + 11) = 0
x = 11, -3.
Question 7
1 pts
Select all sets of points that have a slope m = 2.
(4, 2) and (2,-2)
O (2, -3) and (1,5)
(15, 12) and (5, -8)
(6,5) and (-1,-9)
(2, -3) and (-3,-2)
Answer:
(4,2) and (2,-2)
Step-by-step explanation:
using m=y2-y1/x2-x1
m= -2-2/2-4=-4/-2
therefore,
m=2
What is the product? (x 3)(2 x minus 1) 2 x squared minus 3 2 x squared 6 x 2 x squared 5 x minus 3 2 x squared 6 x minus 3.
The product of the function is 2x^2+ 5x - 3
We are to find the product of the functions x + 3 and 2x -1
let f(x) = x+ 3g(x) = 2x - 1Taking the product:
f(x)g(x) = (x+3)(2x -1)
f(x)g(x) = x(2x) - x(1) + 3(2x) + 3(-1)
f(x)g(x) = 2x^2 - x + 6x - 3
f(x)g(x) = 2x^2+ 5x - 3
Hence the product of the function is 2x^2+ 5x - 3
Learn more on product of functions here: https://brainly.com/question/25638609
Answer:
c
Step-by-step explanation:
how do you solve this inequality
[tex] \frac{2x - 3}{5} - \frac{x}{3} \leqslant 2[/tex]
[tex]\dfrac{2x -3}{5} - \dfrac x3 \leq 2\\\\\implies \dfrac{6x-9-5x}{15} \leq 2\\\\\implies x-9 \leq 15 \times 2\\\\\implies x -9 \leq 30\\\\\implies x \leq 30 +9 \\\\\implies x \leq 39\\\\\text{Interval,}~ (-\infty, 39 ][/tex]
Answer:
x
Step-by-step explanation:
Refer to '<' as ' less than or equal to '
Whenever you are deal with these types of inequalities / equations, nake sure to equate the denominators of both entities involved in the operation be it ( -, × , ÷ ,+ )
with that in mind
* 2x - 3/5 - x/3 < 2 has 2 different denominators i.e - 5 & 3
so to equate both sides, let's multiply each by the denominator they are lacking.
* 2x - 3/5 lacks 3 compared to -x/3.
* similarly, -x/3 lacks 5 compared to 2x - 3/5
multiply both by what they lack (2)
thus, (2x - 3 )×3 /(5) × 3 - (x × 5) × 5/ (3) × 5 < 2
* 6x - 9/ 15 - 5x/15 < 2
we can now combine the numerators since we now have a common denominator which is 15.
* 6x - 9 - 5x/ 15 < 2 (6x-9-5x) is equal to -9 + x = x - 9.
criss cross
* x - 9 < 30
* x < 39
Which graph represents y = RootIndex 3 StartRoot x EndRoot 2?.
A cube root function has the form of [tex]y = x^\frac{1}{3}[/tex]
The graph is given as:
[tex]y = \sqrt[3]{x}[/tex]
Rewrite the function as:
[tex]y = x^\frac{1}{3}[/tex]
The above function is the parent function of a cube root function, and it passes through point (0,0).
See attachment for the graph of function [tex]y = \sqrt[3]{x}[/tex]
Read more about cube root functions at:
https://brainly.com/question/13793603
Answer: d on edge
Step-by-step explanation:
d
Joseph earns a salary of $40 per day working at a pizza
restaurant. He earns an additional $3 for every delivery he makes.
Which function represents the amount of money, y, Joseph will earn in one day if he makes x deliveries?
A y = 3x + 40
B y = 3x - 40
C y = 40x + 3
Answer:
C
Step-by-step explanation:
40x + 3
Answer:
A y = 3x + 40
Step-by-step explanation:
He is paid $40 every day to you would add that number to the equation, then every time he makes a delivery, he makes an additional $3.
So, to find the amount of money he would make in one day your equation should look something like this
y = 3x + 40
y being that amount of money he makes in one day
3 being that amount of money he receives for every delivery
x being the number of deliveries he makes in one day
40 being that amount of money he makes in one day.
_________________________________________________________
Hope this helps!!
Please tell me if I have made a mistake; I enjoy learning from them:)
help me please i cant math
Answer:
(b) 3 +x = 12
Step-by-step explanation:
To solve these for x, you would ...
a) divide by 3
b) subtract 3
c) add 3
d) multiply by 3
The subtraction property of equality says you can subtract the same value from both sides of an equation without affecting the value of the variable(s). It is applicable when you need to subtract a quantity in order to get the variable by itself.
Solving 3 +x = 12 would make use of the Subtraction Property.
Write an equation of a line that is parallel to y = -3x + 5 and passes through (0, 3).
Answer in slope-intercept form
Answer:
A line parallel to this one would have a slope of 3. where m is the slope and b is the y intercept. In this case, the equation y=3x+5 is already in slope intercept form, which means the slope is 3. Parellel lines have the same slope, so any other line with slope 3 is parallel to this line.
I think that's the answer
Answer: y = -3x - 3
Step-by-step explanation:
If you are looking for a line that is parallel, then it must have the same gradient
Therefore;
y= -3x +c
And because it passes through (0,3), substitute in the values to find c
3 = -3 x 0 + c
c = 3
So the equations would be y = -3x -3
Need help on HS geometry
Answers:
321°Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\\ \tt\Rrightarrow 16x-27=5x+6[/tex]
[tex]\\ \tt\Rrightarrow 16x-5x=6+27[/tex]
[tex]\\ \tt\Rrightarrow 11x=33[/tex]
[tex]\\ \tt\Rrightarrow x=3[/tex]
m<YQR=16(3)-27=48-27=21°PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
y=(5/6)x
Step-by-step explanation:
its how much it rises over how much it runs. so it goes up 5 and to the right 6
Answer:
Step-by-step explanation:
The y intercept is 0. The point that holds the y intercept is (0,0)
The slope is
m = y / x
y = 10
x = 12
m = 10/12
m = 5/6
The equation is y = 5/6 x which looks like D
A large university accepts 60% of the students who apply. Of the students the university accepts, 45% actually enroll. If 30,000 students apply, how many actually enroll?
________ students would actually enroll. (Type a whole number)
Answer:
4,500 hope this help
Step-by-step explanation:
Can someone help me with this one too
Answer:
3(4-2P) = 6*4
12-6P=24
-6P=24-12
P= 12/-6
P= -2
slope=5, y-intercetp=3
Answer:
y=−5x+3. Explanation: The y-intercept on a straight line graph is always the constant. In that the constant is the value of c
Step-by-step explanation:
f(x) = (x - 1) (4x + 3) (3x - 8) has zeros at x = 3/4, x= 1, and x = 8/3.
What is the sign of f on the interval - 3/4
Using the given roots, it is found that on the interval [tex]-\frac{3}{4} < x < 1[/tex], the function is positive.
The function is:
[tex]f(x) = (x - 1)(4x + 3)(3x - 8)[/tex]
The zeroes are:
[tex]x = -\frac{3}{4}, x = 1, x = \frac{8}{3}[/tex]
Between two zeroes, the function has the same sign, hence, to find the sign on the interval [tex]-\frac{3}{4} < x < 1[/tex], we find the numeric value of the function of a value of x on the interval, for example f(0), for x = 0.
Then:
[tex]f(0) = (0 - 1)[4(0) + 3][3(0) - 8] = (-1)(3)(-8) = 24[/tex]
Since f(0) is positive, the function is positive on the interval [tex]-\frac{3}{4} < x < 1[/tex].
A similar problem, in which it is desired to find the sign of the function, is given at https://brainly.com/question/4787253
A 9-foot roll of waxed paper costs $4.32. What is the price per inch?
The price per foot is $0.91
Step-by-step explanation:
A 6-yard roll of butcher paper costs 16.38
1 yard = 3 foot
6 yards = 3 times 6 = 18 foot
the cost of 18 foot is $16.38
To find price per foot, we divide the cost of 6 yards by 18
16.38÷ 18 = 0.91
The price per foot is $0.91
The following are some items that Carlo and his brother need to buy for their donations to their barangay: Instant Noodles- Php 6.75 Sardines-Php19.25 Sugar-Php49.50/kg Coffee-Php7.75 Rice-Php 35.05/kg *About how much money must they have to be able to buy : 1. 20 packs of instant noodles 134.96 2.2.5 kg of sugar 3. 15 kg of rice 4. 5 cans of sardines 5. 10 small packs of coffee
The amount of money they must have to be able to buy the items is Php958.25
if 1 pack of instant noodle costs Php 6.75, 20 packs of instant noodles will cost (6.75 * 20) = 135PhpIf sugar costs Php49.50/kg, then 2.5 kg of sugar will cost (2.5* 49.5) = Php123.75If Rice cost Php 35.05/kg, the cost of 15 kg of rice will be (15*35.05) = Php525.75If a pack of sardine cost Php19.25, 5 cans of sardines will cost Php96.25If a pack of coffee costs Php7.75, the cost of 10 small packs of coffee will be Php77.5
The amount of money that they must have is the sum of all the amount expressed as:
Total amount = Php135 + Php123.75 + Php525.75 + Php96.25 + Php77.5
Total amount = Php958.25
Hence the amount of money they must have to be able to buy the items is Php958.25
Learn more on cost here: https://brainly.com/question/11408596
Find the value of x and the perimeter of the following shapes:
Answer:
x=2, perimeter=14
Step-by-step explanation:
Finding x
(x+1)(x+2)
x^2+2x+x+2=12
x^2+3x-10
x^2-2x+5x-10
x(x-2)5(x-2)
(x+5)(x-2)
x=-5
x=2
Length or Width should be a positve number.
x=2
Perimeter:
3+3+4+4=14