If 13 candy bars cost $21.97, how much do 20 candy bars cost? a) Record the proportion below in which you will use to solve the problem. Be sure to use x as the unknown quantity.

[tex]\huge\bold{Given :}[/tex]

Angle AOD = [tex]x[/tex] - 10°

Angle DOC = 3[tex]x[/tex] + 25°

Angle BOC = [tex]x[/tex] + 5°

[tex]\huge\bold{To\:find :}[/tex]

The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:value\:of\:x\:is\:32°}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

➪ ∠ AOD + ∠ DOC + ∠ BOC = 180°

➪ [tex]x[/tex] - 10° + 3[tex]x[/tex] + 25° + [tex]x[/tex] + 5° = 180°

Combining like terms, we have

➪ 5[tex]x[/tex] + 20° = 180°

➪ 5[tex]x[/tex] = 180° - 20°

➪ 5[tex]x[/tex] = 160°

➪ [tex]x[/tex] = [tex]\frac{160}{5}[/tex]

➪ [tex]x[/tex] = 32°

Therefore, the value of [tex]x[/tex] is 32°.

Now,

I) ∠ AOD = [tex]x[/tex] - 10° = 32° - 10° = 22°

2) ∠ DOC = 3[tex]x[/tex] + 25° = 3 x 32° +25° = 96° + 25° = 121°

3) ∠ BOC = [tex]x[/tex] + 5° = 32° + 5° = 37°

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

∠ AOD + ∠ DOC + ∠ BOC = 180°

✒ 22° + 121° + 37° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer:

-1 (losing a point)

Step-by-step explanation:

it is a probability question

total possible outcomes= 3

favourable outcome(white) = 2

probability of getting a white is 2/3

probability of getting a green is 1/3

so the expected value of the game will be -1

Answer:

The answer is "$80".

Step-by-step explanation:

Please see the attached file for the whole question.

Yolanda's total pay y changes for each 'English is fun' sold x, i.e.

[tex]\frac{\delta y}{\delta x} = \frac{dy}{dx} \\\\y = 1900+80 x[/tex]

separating the above equation:

[tex]\frac{dy}{dx}= 80[/tex]

Therefore,

[tex]\frac{dy}{dx} = \$80[/tex]

For each 'English is enjoyable' sold x, the change in Yolanda total compensation y is [tex]\$80[/tex].

Answer:

guests  12  16   24  32 36

tables   3    4   6     8   9

Step-by-step explanation:

12/3 = 4

There are 4 guests per table

4 tables *4 = 16 quests

24 guests /4 = 6 tables

8 tables *4 = 32 guests

36 guests /4 = 8 tables

guests  12  16   24  32 36

tables   3    4   6     8   9

OPTION D

34.6 m is the correct answer.

Answer:

Ya está resuelto ya

Step-by-step explanation:

Answer:

y = -4x - 1

Step-by-step explanation:

k(x) = -4x - 1

replace k(x) with y

y = -4x - 1

Answer:

y = -4x - 1

Step-by-step explanation:

Answer:

[tex] \sin(x) = \frac{1}{4} \\ { \sin }^{2} x = \frac{1}{16} \\ { \cos } x = \sqrt{1 - { \sin }^{2}x } \\ \cos(x) = \sqrt{1 - \frac{1}{16} } \\ \cos(x) = \sqrt{ \frac{15}{16} } \\ \tan(x) = \frac{ \sin(x) }{ \cos(x) } \\ \tan(x) = \frac{ \frac{1}{4} }{ \sqrt{ \frac{15}{16} } } \\ \tan(x) = 0.258[/tex]

The exact value of tan x is,

⇒ tan x = - 1/√15

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

First, we can use the fact that sin x = 1/4 to find the value of cos x.

We know that;

sin²x + cos²x = 1,

cos²x = 1 - sin²x

cos²x = 1 - (1/4)²

cos²x = 1 - 1/16

cos x = ±√(15/16)

But since we know that x is in the third quadrant , we know that cos x is negative.

Therefore, we can take:

cos x = -√(15/1`6)

Now we can use the fact that;

tan x = sin x / cos x

tan x = sin x / cos x

tan x = (1/4) / (-√(15/16))

tan x = - (1/4) * (4/√15)

tan x = - 1/√15

So, the exact value of tan x is,

⇒ tan x = - 1/√15

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[tex]5^{-2}=\frac{1}{5²}[/tex]

Answer:

Solutions given:

[tex]5^{-2}=\frac{1}{5²}[/tex]

since

we have rule of indices

[tex]x^{-a}=\frac{1}{x^{a}}[/tex]

Answer: It's 1/25 or 0.04 That's what I got

Step-by-step explanation:

Since 1/5^-2 = 0.04 I think its the first one

Answer:

4 batches

Step-by-step explanation:

To obtain the number of batches of the recipe that can be made ;

We take the divison of the total amount of strawberry by the amount of strawberry required per batch :

Pounds of strawberry per recipe = 0.75 pound

Total pounds of strawberry = 3.15 pound

= 3.15 / 0.75

= 4.2

We round down :

4.2 batches = 4 batches of the recipe can be made

Answer:

I agree other students

Step-by-step explanation:

congrats

Answer:

x = -3 , y = -4

Step-by-step explanation:

[tex]\begin{bmatrix}y=2x+2\\ y=-4\end{bmatrix}[/tex]

[tex]\begin{bmatrix}2x+2=-4\end{bmatrix}[/tex]

[tex]y=2\left(-3\right)+2[/tex]

[tex]y=-4[/tex]

[tex]y=-4,\:x=-3[/tex]

Another easy way to determine it is to look where the two lines intercept.

Answer:

0.08, or 8%

Step-by-step explanation:

From 0.54 subtract 0.46.  This yields 0.08.  This tells us that 8% of customers would prefer to stay in a hotel.  We don't know how many customers there are altogether, so cannot answer with a specific number of customers, just this percentage.

12

15x + 60 <240

-60

15 veces <180/15

x <12

Step-by-step explanation:

Answer:

So, you multiply them.

Step-by-step explanation:

Try it yourself….. Use table multiplication or somthin

Answer:

Well 6.2 x 6.2 is 38.44 and if you do 38.44 x 38.44 it is 1,477.6336

Answer:

I think is letter B

Step-by-step explanation:

Because I already answer that and my answer is letter B...trust me

Answer:

B)   x = 7,   y = 4√2

Step-by-step explanation:

Drop a line from the upper left vertex

This creates a rectangle with a bottom side of 3

and an isosceles right triangle with legs of 4

Therefor

x = 4 + 3

x = 7

y = √(4² + 4²)

y = 4√2

The values of x and y from figure are 7 and 4√2 respectively, option B is correct.

When we analyze the diagram, there is a right angle triangle with opposite side of 4 units.

We have to find the values of x and y.

Sine function is a ratio of opposite side and hypotenuse.

sin45=4/y

1/√2 = 4/y

Apply cross multiplication:

y=4√2.

Now let us find the value of x by cosine function.

Cosine is a ratio of adjacent side and hypotenuse.

cos 45 =x/y

1/√2 = x/4√2

Apply cross multiplication:

x=4

Now from diagram x=4+3 =7

Hence, the values of x and y from figure are 7 and 4√2 respectively.

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Answer:

[tex]x = 25[/tex]

Step-by-step explanation:

[tex]16 + (18 + 10)=44[/tex]

[tex]25+19=44[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{16 + (18 + 10) = (x + 18) + 1}[/tex]

[tex]\textsf{16 + 18 + 10 = x + 18 + 1}[/tex]

[tex]\textsf{16 + 18 + 10}[/tex]

[tex]\textsf{34 + 10}[/tex]

[tex]\boxed{\textsf{= \bf 44}}[/tex]

[tex]\textsf{44 = x + 18 + 1}[/tex]

[tex]\textsf{18 + 1}[/tex]

[tex]\boxed{\textsf{= \bf 19}}[/tex]

[tex]\textsf{44 = x + 19}[/tex]

[tex]\textsf{x + 19 = 44}[/tex]

[tex]\text{SUBTRACT 19 to BOTH SIDES}[/tex]

[tex]\textsf{x + 19 - 19 = 44 - 19}[/tex]

[tex]\text{CANCEL out: \textsf{19 - 19} because that gives you \textsf{0}}[/tex]

[tex]\text{KEEP: \textsf{44 - 19} because that helps us solve for the \textsf{x-value}}[/tex]

[tex]\textsf{x = 44 - 19}[/tex]

[tex]\textsf{44 - 19 = \boxed{\textsf{\bf 25}}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 25}}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

im thinking a. goodluck!

Step-by-step explanation:

Answer:

The answer is -5.04. I didn't get the last part of the question but this is the answer

9514 1404 393

Answer:

  ∠GDH = ∠GHD = 50°

Step-by-step explanation:

Angles FGD and EDG are alternate interior angles, so are congruent. That means angle EDG is 100°. The angle sum theorem tells us ...

  ∠EDG = ∠EDH +∠HDG

  100° = 50° +∠HDG

  50° = ∠HDG

You can find the measure of ∠DHG a couple of different ways. It is an alternate interior angle congruent to ∠EDH, so is 50°. It is one of two remote interior angles that have  a sum equal to the exterior angle FGD, so is ...

  ∠DHG = ∠FGD -∠HDG = 100° -50° = 50°

So, angles DHG and HGD both have measures of 50°. When a triangle has two angles with the same measure, it is an isosceles triangle.

Answer:

132 ft

Step-by-step explanation:

The radius is 21 ft

We want to find the circumference

C = 2 * pi *r

Letting pi = 22/7

C = 2 * 22/7 * 21

C = 132 ft

Answer:

We want to find the circumference

Answer:

19/30

Step-by-step explanation:

3/10 + 1/3

Get a common denominator of 30

3/10 * 3/3   + 1/3 * 10/10

9/30  + 10/30

19/30

Answer:

19 / 13

Step-by-step explanation:

➟ 3 / 10 + 1 / 3

➟ 3 / 10 × 3/3 + 1 /3 × 10 /10

➟ 3 × 3 / 10 × 3 + 1 × 10 / 3 × 10

➟ 9 / 30 + 10 / 30

➟ 9 + 10 / 30

➟ 19 / 30

im pretty sure that the answer is 6 2/3