Let's assume that all hours she worked were the first 35 hours of the week.
She would've made £22.80 x 35 = £798
So, she would've made 981.54 - 798 = 183.54 less than the actual amount
She is paid 15% more per hour after the first 35 hours -> She will get £26.22 per hour.
So, she work for 183.54 : 26.22 = 7(hours) after the first 35 hours
So in total, she worked for 35 + 7 = 42(hours).
Answer:
42 hours
We know she works at least 35 hours, so 35x22.80=798. This is her base pay without any extra hours.
981.54-798 =183.54. This is the amount she earnt for working extra hours. if we divide this by the rate she earns for extra hours (22.80x1.15=26.22), 184.54/26.22=7, we know she worked an additional 7 hours.
and 35 plus 7 = 42 :)
(NEED HELP FAST 50PTS) Find the function with x-intercepts (-2, 0) and (4, 0), which also goes through the point (3, 10)
The points (1, k) and (-6, 9) fall on a line with a slope of -2. What is the value of k?
k=
Answer:
k= -5
Step-by-step explanation:
The equation for slope is rise over run which is also (y2-y1)/(x2-x1)
with the given coordinate being (x,y)
So, we just plug the given values into the equation in order to solve for k.
(9-k)/(-6-1)= -2
First let's simplify the denominator:
(9-k)/(-7)= -2
then we get rid of the denominator by multiplying it on both sides:
(9-k)= (-7)*(-2)
(9-k) = 14
-k = 5
k=-5
Which is a better price: 5 for $1.00, 4 for 85¢, 2 for 25¢, or 6 for $1.10?
Answer:
2 for 25
Step-by-step explanation:
all you have to do is divide money by the number of items.
can someone help me with this question
Answer:
B
Step-by-step explanation:
Convert from mixed numbers to improper fractions:
[tex]\sf area=90 \frac{3}{10}=\dfrac{90 \cdot 10+3}{10}=\dfrac{903}{10}[/tex]
[tex]\sf length=10\frac12=\dfrac{10 \cdot 2+1}{2}=\dfrac{21}{2}[/tex]
Area of a rectangle = length x width
⇒ width = area ÷ length
[tex]\sf \implies width=\dfrac{903}{10} \div \dfrac{21}{2}[/tex]
[tex]\sf \implies width=\dfrac{903}{10} \times \dfrac{2}{21}[/tex]
[tex]\sf \implies width=\dfrac{1806}{210}[/tex]
[tex]\sf \implies width=\dfrac{1806 \div 42}{210 \div 42}[/tex]
[tex]\sf \implies width=\dfrac{43}{5}[/tex]
[tex]\sf \implies width=8\frac35[/tex]
[tex] \pink{ \text{Given:}}[/tex]
[tex] \\ [/tex]
[tex] \star \sf{}Area =90 \dfrac{3}{10} [/tex]
[tex] \\ [/tex]
[tex] \star \sf{}Length =10 \dfrac{1}{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \purple{ \text{To~Find:}}[/tex]
[tex] \\ \\ [/tex]
[tex] \star \sf Width \: of \: rectangle[/tex]
[tex] \\ \\ [/tex]
[tex] \orange{ \text{Solution:}}[/tex]
[tex] \\ \\ [/tex]
So first convert length and area from fraction form to decible.
[tex] \leadsto\sf{}Area =90 \dfrac{3}{10} [/tex]
[tex] \\ [/tex]
[tex] \leadsto\sf{}Area = \dfrac{903}{10} [/tex]
[tex] \\ [/tex]
[tex] \leadsto\sf{}Area =90.3[/tex]
[tex] \\ [/tex]
Now convert value length into decibel .
[tex] \\ [/tex]
[tex] \leadsto\sf{}Length =10 \dfrac{1}{2} [/tex]
[tex] \\ [/tex]
[tex] \leadsto\sf{}Length = \dfrac{21}{2} [/tex]
[tex] \\ [/tex]
[tex] \leadsto\sf{}Length = 10.5[/tex]
[tex] \\ [/tex]
We know :-
[tex]\bigstar\boxed{\rm Area~of~rectangle= length \times width}[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \\ [/tex]
[tex]: \implies\sf Area~of~rectangle= length \times width \\ \\ \\ : \implies\sf 90.3= 10.5 \times width \\ \\ \\: \implies\sf 90.3 \div 10.5=width \\ \\ \\: \implies\sf \dfrac{ 90.3}{10.5}=width \\ \\ \\: \implies\sf \dfrac{ 90 \cancel.3}{10 \cancel.5}=width \\ \\ \\: \implies\sf \dfrac{ 903}{105}=width \\ \\ \\: \implies\sf width = \dfrac{ 903}{105} \\ \\ \\: \implies \underline{\boxed{\sf width = 8.6}} \pink\bigstar[/tex]
[tex]\\\\\\[/tex]
Know More:[tex]\begin{lgathered}\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}\end{lgathered}[/tex]
120 - 4.5x = 45 + 0.5x
Answer:
x = 15
Step-by-step explanation:
You're trying to solve for x by doing two-step equations.
120- 4.5x = 45 + 0.5x
Add 4.5x to both sides and subtract 45 to both sides.
**Note I did 2 things at once to make it easier to look at.
120-45 = 4.5x + 0.5x
75 = 5x
Now divide 75 by 5
x = 15
Because of the pitch of the attic's roof, a bookcase that is 5 feet high must be place
as shown. What is the measure of the angle formed by the roof and the floor of the attic
The measure of the angle formed by the roof and the floor of the attic is 22.62 degrees.
Right angle triangle
Right angle triangle are triangle that has one of its angles as 90 degrees. The angles formed can be found using trigonometric ratios.
Therefore,
tan x° = opposite / adjacent
tan x° = 5 / 12
tan x° = 0.41666666666
x = tan⁻¹ 0.41666666666
x = 22.6198649482
x = 22.62°
Therefore, the measure of the angle formed by the roof and the floor of the attic is 22.62 degrees.
learn more on right triangle here:https://brainly.com/question/10412877
Write the following as an inequality.
5 is greater than or equal to w, and -5 is less than or equal to w
use w only once in your inequality
Answer:
[tex]-5\leq w\leq 5[/tex]
[tex]\huge\underline\mathtt\red{Answer:}[/tex]
−5 ≤ w ≤ 5
For each value of u, determine whether it is a solution to 6u-1< −19. u Is it a solution? Yes or No 5 −4 −3 8
Answer:
No it is not a solution to 6u-1<-19
the education foundation hosted an anual fundrasing dinner. there were 192 tickets printed for the dinner and each dinner ticket cost $12.50. if 3/4 of the dinner tickets were sold, how much money was rasied frome the dinner ticket sales?
Answer:
Step-by-step explanation:
What classification is the following expression?
Answer:
Types of algebraic expressions may further be distinguished in the following five categories. They are: monomial, polynomial, binomial, trinomial, multinomial. 1. Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.
Step-by-step explanation:
1+1=2
If 85 third graders went to a field trip and 35 fourth graders went on a field trip how many kids went on a field trip.
how many square yards of carpet should stella order if her bedroom measures nine by twelve feet
use the distributive property to write an equivalent expression to each of the following
(-4x +(2x)
Hey there!
(-4x + (2x)
= -4x + 2x
COMBINE the LIKE TERMS
= (-4x + 2x)
= -4x + 2x
= -2x
Therefore, your answer is: -2x
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
How do I solve the area for the shapes?
Answer:
shaded: 45 units²non-shaded: 36 units²total area: 81 units²Step-by-step explanation:
A "shaded area" problem can be worked by directly computing the area of the shaded shape, or by decomposing the figure in a convenient way. Here the overall square can be decomposed into unshaded triangles and a shaded square. The triangles have dimensions given, but the smaller square does not. Work must necessarily proceed from given dimensions to arrive at the values associated with dimensions not given.
For a problem like this, working the last question first can make it easier.
TotalThe total area is the area of a square 6+3 = 9 units on a side. Its area is ...
Total area = s² = (9 units)² = 81 units²
__
Non-shadedThe area of each of the four non-shaded triangles is ...
A = 1/2bh = 1/2(6 units)(3 units) = 9 units²
There are 4 triangles with that area that are not shaded, so ...
Non-shaded region = 4 × (9 units²) = 36 units²
__
ShadedThe shaded region is that portion of the total area that is not Non-shaded. Its area will be the difference ...
Shaded area = Total area - Non-shaded area
Shaded area = 81 units² -36 units² = 45 units²
Can you do this for me pls
[tex]\frac{x}{y}[/tex]Answer:
Step-by-step explanation:
algebraic thingking: (going from up to down)
1. 30 2. 28 3. 9 4. 20
base ten numbers(up to down)
1. 4.6 2. 46 3. 460 4. 4600
( when your multilplying decimals with multiples of ten or numbers that end in ten... then the decimals movies however many spaces to the RIGHT, depending on how many zeros:)
fractions1. 1 [tex]\frac{1}{2}[/tex] 2. 3 [tex]\frac{1}{3\\}[/tex]
measurment and data
take a better picture of the number line because i cant see the numbres on it:(
geometery
1. Yes, since the sum of angles of a triangle is 180 degrees. If there are two right angles in a triangle then the third angle will be zero degrees, which is quite impossible hence this will not form a triangular shape. This will negate the properties of a triangle.
2. No, not always.
Square is a specific form of a parallelogram when all the sides are equal & each interior angle of a parallelogram is a right angle.
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
on the 10th day from option A you would get $196.83. on the 10th day from option B you would get $1,000.
Step-by-step explanation:
Answer:
Option B.
Step-by-step explanation:
Given:
Option A: You Receive 1¢ on the first day, 3¢ on the second day, 9¢ on the third day, 27¢ on the fourth day,and so on, tripling each day.
Option B: You receive $100 each day(Day 1, you would receive $100, Day 2, you would receive $100..)
You will receive the month that is offered on day 10. Which option would you choose? Use the table and/ or graph to organize your thinking.
-------------------------------------------------------------------------------------------------------------
Option A Option B:
Tripling = times 3 Add $100
Table: Table:
[1] 1¢ [1] $100
[2] 3¢ [2] $200
[3] 9¢ [3] $300
[4] 27¢ [4] $400
[5] 81¢ [5] $500
[6]$2.43 [6] $600
[7] $7.29 [7] $700
[8] $21.87 [8] $800
[9] $65.61 [9] $900
[10] $196.83 [10] $1000
-------------------------------------------------------------------------------------------------------------
Thus, I will choose option B.
-------------------------------------------------------------------------------------------------------------
~lenvy~
Given that z is inversely proportional to t. When t = 9,z = 28. Find a) the value of z when t = 12 b) the value of t when z = 36
.
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"z" inversely proportional to "t"}}{z=\cfrac{k}{t}}\qquad \textit{we also know that} \begin{cases} t=9\\ z=28 \end{cases} \\\\\\ 28=\cfrac{k}{9}\implies 252=k~\hfill \boxed{z=\cfrac{252}{t}} \\\\\\ \textit{when t = 12, what is "z"?}\qquad z=\cfrac{252}{12}\implies z=21 \\\\\\ \textit{when z = 36, what is "t"?}\qquad 36=\cfrac{252}{t}\implies t=\cfrac{252}{36}\implies t=7[/tex]
Which term BEST describes 11 in the data set?
32, 29, 30, 35, 31, 34, 11
A.mean
B.media
C.mode
D.outlier
Answer:
Choice D.
Outlier
pls what is the awer
10/75=13.333333334 so around 66 people
you can also just divide 500 by 75 then take it times 10 :)
A marketing company is designing a new package for a box of cereal. They have determined that the function C(x) = 4.5 x2 models the cost of a box with side lengths as shown (measured in inches).
Identify a reasonable domain and range for the function.
So the function is
[tex]\\ \rm\rightarrowtail y=4.5x^2[/tex]
As we know
x²≥0x≥0
hence domain is
[tex]\\ \rm\rightarrowtail D_f\in R[/tex]
Least value of function is at x²=0 i.e 0Hence range:-
[tex]\\ \rm\rightarrowtail R_f\in [0,\infty)[/tex]
HELPP PLSS!!!!!!!
Find the volume of the following objects.
Answer:
First cone: 29.32
Steps:
1. 3.14(2^2)7/3
2. 3.14(4)7/3
3. 12.56(7/3)
4. 12.56(2.3
5. 29.32
Second cone: 1526.81
Divide 18 in half and so same steps as above to get the answer! :)
Have a great day!!
Please rate and mark brainliest!!
Answer:
Cone 1 = 29.32mi || Cone 2 = 1526.81
Step-by-step explanation:
Step 1) Apply formula (volume of cone)
V= 1/3 * π * r^2 * h [OR] V= π * r^2 * h/3
Step 2) Insert numbers. (cone 1)
V= π * 2^2 * 7/3
Step 3) Insert numbers. (cone 2)
V= π * 9^2 * 18/3 (r=9 because r=1/2 base diameter of circle, 18/2=9)
Step 4) Plug and solve.
Step 5) CHECK YOUR ANSWER BEFORE SUBMISSION. Do it a few times just to make sure it checks out, and then continue!
Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per gigabyte. He wants to keep his bill under $65 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Justin can use while staying within his budget
Answer:
56 + 5xx < 65
xx < 1.8
Step-by-step explanation:
56 + 5xx < 65
subtract 56 on both sides
56 + 5xx < 65
-56 -56
5xx < 9
divide by 5 on both sides
5xx/5 < 9/5
xx < 1.8 gigabytes
Evaluate the following, if a=7, b=3, c=2
what is a2 ( two is a exponet )-5bc-1
please hurry.
i'll give you 70 points!
Answer:
Step-by-step explanation:
a^2 - 5bc - 1
a = 7
b = 3
c = 2
7^2 - 5*3*2 - 1
49 - 30 - 1
18
$1200 at 12% for 3 years
Answer:
$1,689.
Step-by-step explanation:
Answer:
If this is compound interest and it is compouned annually,the answer is $1,685.91
If this is simple interest, the answer is $1,632.00
Step-by-step explanation:
Equation for compound interest.
[tex]A=P(1+\frac{r}{n})^{n*t}[/tex]
[tex]A=1200(1+\frac{0.12}{1})^{1*3}[/tex]
[tex]A=1685.91[/tex]
Equation for simple interest.
[tex]A=P(1+r*t)[/tex]
[tex]A=1200(1+0.08*3)[/tex]
[tex]A=1632.00[/tex]
please help ill give pointssssss
Based on the formula given of 27π = πn, we can find the value of n after substitution in an equation to be 27.
What is the value of n?The value of n can be found by making n the subject of the formula as shown below;
27π = πn
n = 27π / π
Solving of n therefore gives:
n = 27π/π
n = 27
In conclusion, n is 27.
Find out more on finding terms at https://brainly.com/question/25827678.
Ava buys 3.5 pounds of strawberries for $2.99 per pound. How much does she spend?
Answer:
10.50$
Step-by-step explanation:
3 dollars a pound
3x3=9
half a pound, half the price which is 1.50$
9+1.50= 10.50
Answer:
$10.465 ≈ $10.47
Step-by-step explanation:
3.5 lb of strawberries * $2.99/lb of strawberries = $10.465 ≈ $10.47
Please mark as brainliest.
i
think of a number multiply it by seven then add 8 to it and the results is 29 find the number
Answer:
3
Step-by-step explanation:
29 - 8 = 21
21 / 7 = 3
Therefore, the answer is 3
Answer:
wouldnt it be 3? cause 3*7=21 then add 8 thats 29
Step-by-step explanation:
How do function models help us to understand the world?
Answer:
mathematical represents alot of stuff in the really world
A little confused can I get some help?
Answer:
Step-by-step explanation:
4+(7-5)2= 8 I guess
I just need to fill the table out
Answer:
for cosine: 1, 0.97, 0.87, 0.71, 0.5, 0.26, 0..... for sine: 0, 0.26, 0.5, 0.71, 0.87, 0.97, 1.
Step-by-step explanation:
Calculator for Cos, reverse them for Sine.