Caroline is saving up to buy a new video game. She already has $45 and can save an additional $9 per week using money from her after school job. How much total money would Caroline have after 9 weeks of saving? Also, write an expression that represents the amount of money Caroline would have saved in w weeks

Answer:

[tex] \arc{PNM} = 222 [/tex]

Step-by-step explanation:

Central angle = measure of the arc it subtends

Therefore:

[tex] \arc{PN} = \arc{PM} = 138 [/tex]

A full circle = 360°

So,

[tex] \arc{PN} + \arc{PM} + \arc{NM} = 360 [/tex]

Plug in the values

[tex] 138 + 138 + \arc{NM} = 360 [/tex]

[tex] 276 + \arc{NM} = 360 [/tex]

[tex] \arc{NM} = 360 - 276 [/tex] (subtraction property of equality)

[tex] \arc{NM} = 84 [/tex]

[tex] \arc{PNM} = \arc{NM} + \arc{PN} [/tex]

Plug in the values

[tex] \arc{PNM} = 84 + 138 [/tex]

[tex] \arc{PNM} = 222 [/tex]

Answer:

i think its 63

Answer:

360 km

Step-by-step explanation:

Let stream speed = x

Speed of water = 3km/hr

Therefore,

Upstream speed = (x - 3) km/hr

Downstream speed = (x + 3) km/hr

Time taken downstream = 15 hours

Time taken upstream = 20 hours

Recall:

Distance = speed * time

Upstream Distance = downstream distance

20(x - 3) = 15(x + 3)

20x - 60 = 15x + 45

20x - 15x = 45 + 60

5x = 105

x = 105 / 5

x = 21

Upstream speed = (21 - 3) = 18

Distance between the two towns :

18 * 20 = 360 km

Answer:

0.885

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The two unknown values of the triangle have to be the same.

Subtract 28 from 180 and you get 152

So each angle will be 76.

So now, 76 = -8 + 7x

Simplify and 84 = 7x

Now, x is equal to 12

Hope this helped! Please mark me as brainliest if you can!

Answer: 2

Step-by-step explanation:

we simply plug in 2 for y.

3(2) - 4

6 - 4

6 - 4 = 2

Answer:

3y-4=2

3×2-4

=6-4

2 the value of y is 2

Answer:

36i^2 i think that's right

Answer:

6 cm² is correct answer

because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.

Answer:

7 I. guessing oh wait nah its fish

Answer:

hmmmmm

Step-by-step explanation:

Answer:

∠3 = 108

Step-by-step explanation:

∠1 + ∠2=180 because a straight line is 180°

∠1=5x+10  and  ∠2=9x+2

5x+10  +  9x+2 = 14x+12

14x+12=180

180-12=168

168/14=12

x=12

∠2 = 9x+2 = 110

180-110 = 70

∠4 = 70

∠4 + ∠3 + ∠5 = 180

∠5 = 90 -5x = 30

i messed up the process here lol but the answer is for sure right

Answer:

Step-by-step explanation:

Total marbles:

Green and blue marbles:

Probability of getting green or blue:

Answer:

Option (3)

Step-by-step explanation:

From the figure attached,

Area of the shaded region = Area of circle - (Area of the ΔOAB + Area of ΔOED)

Area of the circle = πr²

                             = π(5)²

                             = 25π cm²

Area of ΔOAB = 2(Area of ΔOCB)

AB = 6 cm

OC = 5 - 1 = 4 cm

By applying Pythagoras theorem in ΔOCB,

OB² = OC² + BC²

5² = 4² + BC²

BC² = 25 - 16

BC = √9 = 3 cm

Area of ΔOCB = [tex]\frac{1}{2}(OC)(BC)[/tex]

                        = [tex]\frac{1}{2}(4)(3)[/tex]

                        = 6 cm²

Area of ΔAOB = 2(6) = 12 cm²

Area of ΔAOB = Area of ΔDOE = 12 cm²

Area of shaded region = 25π - (12 + 12)

                                      = (25π - 24) cm²

Therefore, Option (3) will be the answer.

Step-by-step explanation:

When m > -3.1, the line should extend towards the right and the point at 3.1 should be an empty circle. (as m = 3.1 is not included in the solution set)

Hence the answer is Option D.

P.S. The reason why A is wrong is because the number line is wrongly labelled. -3.3, -3.2 and -3.1 are all less than -3 and should be on the left of the number line.

Answer:

A

Step-by-step explanation:

Hope it helps!

Answer:

i think its b

Step-by-step explanation:

9514 1404 393

Answer:

  (-∞, -4) ∪ [-2, ∞)

Step-by-step explanation:

The solution to the first inequality is ...

  -9x +3 > 39

  -9x > 36 . . . . . subtract 3 from both sides

  x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative

__

The solution to the second inequality is ...

  -5x +6 ≤ 16

  -5x ≤ 10 . . . . . . . subtract 6 from both sides

  x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative

__

These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...

  (-∞, -4) ∪ [-2, ∞)

The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.

Answer:

Step-by-step explanation:

Given:

LP = 27

LM = NP

MN = 3

16). LP = LM + MN + NP

      27 = LM + 3 + LM

      27 = 3 + 2(LM)

      LM = 12

17). Since, LM = NP

      NP = 12

18). Since, MP = MN + NP

     MP = 3 + 12

     MP = 15

19). NL = LM + MN

     NL = 12 + 3

     NL = 15

Answer:

$ 6096

Step-by-step explanation:

Let the cost of truck = x

x+19% of x = 9068

x + 0.19x = 9068

1.19 x = 9068

      [tex]x = \frac{9068}{1.19}[/tex]

    x = 7620.17

Reduction = 20% of 7620.17

                 = 0.20 * 7620.17

                 = $ 1524.03

New price = 7620.17 -  1524.03

                  = $ 6096.14

Answer:

-0.1692

Step-by-step explanation:

use your cakculator

Answer:

z = 25

Step-by-step explanation:

adjacent angles in a rhombus are supplementary

3z - 15 + 7z - 55 = 180

10z - 70 = 180

10z = 250

z = 25

Answer: y= 5x + 3

Step-by-step explanation:

Lol literally so easy when you understand it so:

the formula for slope intercept form is:

y= mx + b

in this case just plug in the values

hope this helps ;)

also can I get brainliest pls?

Answer:

16.68

Step-by-step explanation:

just add them like regular numbers then just put the decimal

Given:

Universal set = {a, b, c, d, e, f, g, h}

A = {a, b, c, d}

B = {a, d, e}

C= {c, f, g, h}

To find:

The elements of set B'.

Solution:

Let universal set be U.

U = {a, b, c, d, e, f, g, h}

We know that,

Compliment of a set = Universal set - Set

It means,

[tex]B'=U-B[/tex]

[tex]B'=\{a, b, c, d, e, f, g, h\}-\{a,d,e\}[/tex]

[tex]B'=\{b, c,f, g, h\}[/tex]

Therefore, only b, c, f, g, h are the elements of set B'.

Answer:

24/20 cups or 6/5 cups.

Step-by-step explanation:

Good luck :)

Answer:

107

Step-by-step explanation:

Since they are congruent triangles angle B is the same as angle D.

To find D, all angles add to 180 degrees, so:

41+32+x=180

73+x=180

X=107

So angle B is 107 degrees

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

Sin 30 = 5/x

Sin 30 = 1/2

x = 10

The length of the side x is 10.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

The length of side x can be calculated using the trigonometric identities.

We know that,

Sin x = Perpendicular / Hypotenuse

Sin 30 = 5 / x

1/2 = 5/x

Multiply 2 on both sides.

1= 10/x

x = 10

Thus,

The length of the side x is 10.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

Answer:

The total number of employees is 377.

Step-by-step explanation:

1. You divide total number of women (232) by the ratio of women. (8)

232/8 =29

2. You take 29 and multiply it by the amount of men in the ratio. (5)

29*5=145

3. Finally you just add the total amount of men (145) and the total amount of women. (232)

232+145=377

I hope this helps!

I tried to explain to the best of my ability.

Answer: 377 employees

Step-by-step explanation:

The ratio of men to women can be represented as [tex]\frac{5}{8}[/tex] where the numerator represents how many men are in the company, and the denominator represents how many women are in the company. Given that there are 232 women in the company, we can replace denominator with 232, and then cross multiply.

[tex]\frac{5}{8}= \frac{x}{232}[/tex]    After cross multiplying, the expression left would be 8x = 1160. To get the final answer, we would only need to simplify this. It would give us a total of 145, which is how many men work in the company.

Lastly, add the the number or men and women working in the company, and that would be the total people that work in the company