16
21
Jade works as a decorator.
She is paid £22.80 per hour for the first 35 hours she works each week.
She is paid 15% more per hour for each extra hour she works.
One week, Jade was paid £981.54
In total, how many hours did she work that week?
You must show your working.

[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]

Answer:

Choice D.

Outlier

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!

[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:)

1. 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.

Answer:

Step-by-step explanation:

4+(7-5)2= 8 I guess

Answer:

2 for 25

Step-by-step explanation:

all you have to do is divide money by the number of items.

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:

10/75=13.333333334 so around 66 people

you can also just divide 500 by 75 then take it times 10 :)

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

Answer:

mathematical represents alot of stuff in the really world

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

Answer:

Step-by-step explanation:

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]

[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]

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.

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]

Answer:

Step-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.

The 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

__

The 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

__

The 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

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.

Answer:

No it is not a solution to 6u-1<-19

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

Based on the formula given of 27π = πn, we can find the value of n after substitution in an equation to be 27.

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.

The measure of the angle formed by the roof and the floor of the attic is 22.62 degrees.

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

So the function is

[tex]\\ \rm\rightarrowtail y=4.5x^2[/tex]

As we know

hence domain is

[tex]\\ \rm\rightarrowtail D_f\in R[/tex]

Hence range:-

[tex]\\ \rm\rightarrowtail R_f\in [0,\infty)[/tex]

Answer:

[tex]-5\leq w\leq 5[/tex]

[tex]\huge\underline\mathtt\red{Answer:}[/tex]

−5 ≤ w ≤ 5

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~

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

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:)

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