The equation y = 10x describes the amount of money Serena earns, where x is the number of hours she works and y is the amount of money she earns.
The table shows the amount of money Christine earns for different numbers of hours
worked.

Christine's Earnings
Time (h):
3 5 8 10
Money earned:
60 100 160 200

(a) How much money does Christine earn per hour? Show your work.

(b) Who earns more per hour? Justify your answer.

(c) Draw a graph that represents Christine's earnings over time in hours. Remember
to label the axes.

I WILL GIVE BRAINLIEST IF THEY ARE CORRECT AND ALL ANSWERS WERE ANSWERED!!!

Answer:

<1=55°

Step-by-step explanation:

180-125=55

Answer:

Step-by-step explanation:

Adults = x, Children =y

3y=x

Answer:

3.5 hours

Step-by-step explanation:

if you multiply 6 and 2 by 3.5, then add them you get 28

Step-by-step explanation:

So if there are 3 sizes, 2 flavors and 2 Toppings to choose from, then there are

3 * 2 * 2 possible combinations

For example:

S = 3 sizes

F = 2 flavours

T = 2 toppings

Then there are 3 * 2 * 2 = 12 possible combinations

Answer:

90

Step-by-step explanation:

$5.29  * 16.3 = $86.227

=$86.23

86.23 could be rounded up to 90

Answer:

x=5 and n=36

Step-by-step explanation:

For the first question: 32/8 = 4/1

4/1 = 20/x

4x = 20

x = 5

For the second question: 63/81 = 21/27

21/27 = 28/x

21x = 756

x = 36

Given:

Center of hyperbola is at (h,k).

To find:

The standard forms of a hyperbola.

Solution:

We know that, standard forms of a hyperbola are

1. For Horizontal hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]

2. For Vertical hyperbola:

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]

where, (h,k) is center of the hyperbola.

Therefore, the correct option is B.

Answer:

-1 = 11

0 = 13

1 = 15

2 = 17

5 = 23

Step-by-step explanation:

2 (-1) +13 = 11

2 (0) +13 = 13

2 (1) +13 = 15

2 (2) +13 = 17

2 (5) +13 = 23

Answer:

Answer:

y=1/3x

When x of the line is -3, y of the line must be -1.When x of the line is 6, y of the line must be 2. y=1/3x+b. b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (-3,-1) and (6,2).(-3,-1). y=mx+b or -1=1/3 × -3+b, or solving for b: b=-1-(1/3)(-3). b=0.b came out to be zero, so there is no "+b" term.

Ms Patel bought 4 pliers, 2 wrenches and 1 plier set.

        4:2:1

        PLIERS: 4 × 17.50 = $70

        WRENCHES: 2 × 21.50 = $43

        CHISEL SETS: 1 x 28 = $28

        TOTAL = $70 + $43 + $28 = $141

Mrs Patel purchased 2 wrenches, 4 pliers, and 1 chisel set for her shop.

I hoped this helped!

Answer:

first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.

So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg

Answer:

X= 3.5

Step-by-step explanation:

4(6x-9.5)=46

24x-38=46

X=3.5

Answer:

it's the fourth one i did that assignment aswell

Answer:

57°

Step-by-step explanation:

[tex] \theta = {sin}^{ - 1} \bigg( \frac{36}{43} \bigg) \\ \\ \theta = 56.846591584 \degree\\ \\ \theta \approx 57 \degree\\ \\ [/tex]

Answer:

Solution in photo

Step-by-step explanation:

The statement that is correct is Cotangent is the reciprocal of tangent.

The term cotangent can be written as  ( cot ⁡ ). It is said to be the reciprocal of the tangent and It is one whose ratio of its adjacent side is said to be the opposite side that is found in a right triangle.

Therefore, we can say that The statement that is correct is Cotangent is the reciprocal of tangent as it is the correct one among the options.

Learn more about tangent from

https://brainly.com/question/4470346

#SPJ2

Answer:

54 groups of 1, 27 groups of 2, 18 groups of 3, 9 groups of 6, and repeat vice versa (6 groups of 9, etc).

Step-by-step explanation:

Total number of ways are 8 to arrange the balloon,

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,

Given that,

Total number of balloon Sabrina has = 54,

The number of ways Sabrina can arrange the balloon are:

1 group of 54 balloons,

2 groups of 27 balloons,

3 groups of 18 balloons,

6 groups of 9 balloons,

9 groups of 6 balloons,

18 groups of 3 balloons,

27 groups of 2 balloons,

54 groups of 1 balloon,

There are total 8 different ways Sabrina can arrange the balloons.

To know more about Permutation and Combination on:

https://brainly.com/question/13387529

#SPJ2

Answer:

Yes

Using SAS congruent property

Step-by-step explanation:

[tex]\textsf{Hey there!}[/tex]

[tex]\text{Select the expressions that are equicalent to 8(6m)}\downarrow[/tex]

[tex]\text{We DON'T have any like terms so we CAN'T pair them off!}[/tex]

[tex]\mathsf{8(6m) \rightarrow 8 \times 6 \times \ m}\\\mathsf{8\times 6 = 48}}\\\mathsf{48\times\ m = 48m}\\\\\\\boxed{\boxed{\mathsf{Answer: \bf{48m}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Answer:

Y:4     X:540

Step-by-step explanation:

Answer: first divide so you make it one and then you multiply hope that helps

Step-by-step explanation: then you can add them to get by one then multiply

Answer:

B. $3.56

Step-by-step explanation:

You take $28.48 and divide it by 8

28.48 / 8 = 3.56

/ = divide

Answer:

the values of N for which there will be no spectral leakage are;

N = Integers multiple by 8

Step-by-step explanation:

Given that;

discrete-time sinusoidal segment x[n] = 6.2cos(0.75πn + 1)

Using DFT to compute the spectrum

The spectral leakage will not be present in the spectrum if the product f₀Td is an integer.

Here, f₀ is sinusoid's frequency and Td is the segment duration

Now we calculate the period of the signal

2π/ω = 2π/0.75π

ω =  2 / 0.75

( × 4 )

ω =  8 / 3

Here, the numerator value is the period of the signal

T₀ = 8

The spectral leakage will not be present in the spectrum if N is  the Integer multiple of period T₀.

Therefore, the values of N for which there will be no spectral leakage are;

N = Integers multiple by 8

Answer: the 2 on the right

Step-by-step explanation:

Solution :

Here, [tex]$ \hat p$[/tex] = sample proportion of red outcomes

[tex]$ \hat p =\frac{58}{100}$[/tex]

[tex]$ \hat p$[/tex] = 0.58

So we have to test,

[tex]$H_0 : p = 0.5$[/tex]

V/S    [tex]$H_a: p \neq 0.5 $[/tex]

The test statistic is

[tex]$z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$[/tex]

[tex]$z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$[/tex]

  [tex]$=\frac{0.08}{0.05}$[/tex]

  = 1.600

P value using the z table is 0.110

So P value greater than 0.05

Therefore, there is no evidence that roulette wheel is out of balance.

Answer:

9 / 19

Step-by-step explanation:

Given that:

Number of slots on roulette wheel = 38

Number of red on wheel = 18

Number of black on wheel = 18

Number of green = 2

The probability that ball will land on red slot :

Recall: probability of event (A) = P(A)

P(A) = (number of required outcome / number of total possible outcomes)

Hence,

P(ball lands on red) = (Number of red slots / total number of slots)

P(ball lands on red) = 18 / 38

P(ball lands on red) = 9/ 19