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[tex]\\ \rm\longmapsto 3:4[/tex]

[tex]\\ \rm\longmapsto \dfrac{3}{4}[/tex]

Note.

The first term of the ratio is called consequent.

Answer:

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Step-by-step explanation:

Step-by-step explanation:

For TU is it -2x-4 or 2x-4 cause the question and what on your paper are different

Answer:

20

Step-by-step explanation:

ST= SU - TU

=24 - (2x-4)

=24-2x+4=28-2x

but. 2x-4+3x+8 = 5x+4 = 24

5x=24-4=20

x=20/5=4

so ST=28-2x= 28-2(4)

ST=20

Answer:

1they are 15 kilometers apart

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the measure of the first angle. Then the second is x+7, and the third is 10x-7.

The sum of the three angles of the triangle is 180°, so we have ...

  x +(x +7) +(10x -7) = 180

  12x = 180 . . . . . . . . . . . . . . . collect terms

  x = 15 . . . . . . . . . divide by 12 (first angle)

  x +7 = 22 . . . . . .second angle

  10x -7 = 150 -7 = 143 . . . . . third angle

The three angles are 15°, 22°, and 143°.

9514 1404 393

Answer:

Step-by-step explanation:

"Fixed" expenses are ones that don't change. They stay the same from year to year. Those would include ...

Fixed

"Variable" expenses are ones that change depending on circumstances. Those would include ...

Variable

Answer:

D

Step-by-step explanation:

Point B is (-2,3) then it is shifted (x, y+4)

so, x remains the same by y goes up 4 units

-2,7

Answer:

32.8

Step-by-step explanation:

well you need to use soh cah toa. so here we would use sin since we get an opposite side and a hypotenuse. so 45/83 would give us the sin of the sides but since we need to find the angle we take the sin inverse which gives us 32.83139231 which rounds to 32.8

Answer:

26.8°

Step-by-step explanation:

4x - 20 + 6x - 7 = 90

10x -27 =90

10x = 90+27

10x= 117

x = 11.7

so, the angle R = 4x-20 =4(11.7)-20

= 46.8-20 = 26.8°

A piecewise function is consists of different relationships between the variables over different intervals

The correct piecewise equation that models her total weekly pay is option B.

[tex]\mathbf{B.} \ y = \begin{cases} 24 \cdot x& \ 0 \leq x \leq 38 \\ 31\cdot (x - 38) + 912 & \ x > 38 \end{cases}[/tex]

The given parameters are;

The amount made by the webmaster for the first 38 hours she works = $24

The amount she makes for each hour worked after the first 38 hours = $31 an hour

Required:

To find the piecewise equation that models the total weekly pay, y, in dollars in relation to the number of hours x that she has worked during the week

Solution:

If she works for x ≤ 38 hours

The amount she makes working x less than or equal to 38 hours, y = $24/hour × x hours = $24 × x hours

The total amount the webmaster wakes by working all through the normal 38 hours is $24/hour × 38 hours = $912

If she works over 38 hours, (x > 38) we have;

The number of hours she works over 38 hours = x - 38

The amount she makes each hour after working 38 hours, y = $31/hour × (x - 38) hours

The total amount she makes y working for more than 38 hours is given as follows;

y = 31·(x - 38) + 912

The piecewise equation that models her weekly pay is therefore, presented as follow;

[tex]y = \begin{cases} 24 \cdot x& \ 0 \leq x \leq 38 \\ 31\cdot (x - 38) + 912 & \ x > 38 \end{cases}[/tex]

The above piecewise function is the same as option B

Learn more about piecewise function here:

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Answer:

10 3/5

Step-by-step explanation:

6 4/5 + 3 4/5

First convert to improper fraction,

34/5 + 19/5

Then add the improper fractions,

=>53/5

Then convert improper fraction to mixed fraction,

=> 53/5 = 10 3/5

Answer:

Step-by-step explanation:

Start by calculating the effective rate of interest:

.09/52= .0017307

(we divide by 52 because there are 52 weeks in a year)

Then just use the annuity formula

[tex]1600(\frac{1-(1+.0017307)^{-(20*52)}}{.0017307})=771396.864393[/tex]

Answer:  13½

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

We know that the opposite sides of a parallelogram are equal so:

25x+1=7x+37

18x=36

x=2

Answer:

Point C is in the interior of angle ABD.

Answer:

f(1) = 0

f(2) = 4

f(3) = 8

Step-by-step explanation:

Substitute the values for the variable x.

[tex]f(1)=4(1)-4\\f(1)=4-4\\f(1)=0\\\\f(2)=4(2)-4\\f(2)=8-4\\f(2)=4\\\\f(3)=4(3)-4\\f(3)=12-4\\f(3)=8[/tex]

When x= 1

y = 4(1) - 4

y = 0

when x = 2

y = 4(2) - 4

y = 4

when x = 3

y = 4(3) - 4

y = 8

Percentage = ( number used / total number) x 100

32/90 = 0.3555

0.3555 x 100 = 35.56%

Rounded to nearest tenth = 35.6%

Mary Anne is using about 35.6% of her quilt squares stock.

A percent is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Percentage  = (Value/Total value) × 100.

According to the given question.

Total number of quilt squares Mary Anne have = 90

Number of quilt squares Mary Anne is using = 32

Therefore,

The percent of her quilt square she is using

= [tex]\frac{32}{90} \times 100[/tex]

[tex]= 0.3555\times 100[/tex]

[tex]= 35.6[/tex] %

Hence, Mary Anne is using about 35.6% of her quilt squares stock.

Find put more information about percent here:

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3250 mL = 3.25 L

* 1 mL = 0.001 L

I hope I helped you^_^

Answer:

The answer will befour times

[tex]( {x}^{6} )( {x}^{2} ) = x^{8} [/tex]

I hope I helped you^_^

Here we want to see which type of set is a band's setlist.

We will see that it is a discrete set.

We can define two types of sets

Continue sets are those, like the name implies, continuous (or dense). Examples can be the set of real numbers.

Discrete sets are those that have "gaps" between consecutive elements. For example, the integer set is a discrete set. Particularly, discrete sets can be quantized (counted).

Now, we have a list of songs, that can be written as:

L  = {song 1, song 2, song 3, ...}

Here we can see that we have separated elements. Thus, this is a discrete set. This happens because we clearly can separate the element "song 1" from "song 2" (there may be a lapse of time between them, defining the end of the first one), so we have the "gaps" mentioned above.

If you want to learn more, you can read:

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Answer:

d

Step-by-step explanation:

It is a 1/13 chance but even if you shuffle and replace it, its still a 1/13 chance.

The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.

The probability of an event is the ratio of the number of favorable outcomes to the event to the total number of outcomes for the experiment.

If we have an event A, the number of favorable outcomes to event A is n, and the total number of outcomes in the experiment is S, then the probability of the event A is given by,

P(A) = n/S.

We are given that John is playing a game with a standard deck of playing cards.

We are said that he wants to try to draw a jack on the first try.

Let the event of drawing a jack be A.

The number of outcomes favorable to the event A (n) = 4 (number of jacks)

The total number of outcomes in the experiment of drawing a card (S) = 52 (the total number of cards)

∴ The probability of the event A is given by,

P(A) = n/S = 4/52 = 1/13.

∴ The probability of drawing a jack on the first try is 1/13.

When he replaces the card and re-shuffles it, the probability will be the same as the number of favorable outcomes and the total number of outcomes remains the same.

∴ The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.

Learn more about the probability of an event at

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Answer: a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex](\frac{a}{b^{3} } )^{4}[/tex]

[tex]a^{4}[/tex]/([tex]b^{3}[/tex][tex])^{4}[/tex]

[tex]a^{4}[/tex]/[tex]b^{12}[/tex]

Answer:

17 hours

Step-by-step explanation:

Add up the total amount earned

168+112+196 = 476

Divide by the amount earned per hour

476/28 = 17

17 hours worked over the 3 days

Answer:

pls ur question is not clear is there a space between 11 and 2

Answer:

CGAUUU

Step-by-step explanation:

GCU is alanine which translate to CGA

AAA is lysine, and translate to UUU

Step-by-step explanation:

Recall that

[tex]\cos{2\theta} = 1 -2\sin^2\theta[/tex]

so we can write our original equation as

[tex]3 - 6\sin^2{\theta} + \sin{\theta} = 1[/tex] or

[tex]6\sin^2{\theta} - \sin{\theta} - 2 =0[/tex]

Let [tex]x = \sin{\theta}[/tex] so our equation becomes

[tex]6x^2 - x - 2= 0[/tex]

which gives us two roots: [tex]x = -\frac{1}{2}[/tex] and [tex]x = \frac{2}{3}[/tex].

This is equivalent to [tex]\theta = 150°[/tex] and [tex]\theta = 41.8°[/tex]

Answer:

41.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos x = 9/12

Taking the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1 (9/12)

x = 41.41

To the nearest tenth

x = 41.4

The equation of the perimeter will be 5x + 1 = 26. Then the correct option is D.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

Let ABCD is the isosceles trapezoid.

The small base (BC) of an isosceles trapezoid is x centimeters long.

The large base (AD) of the trapezoid is 3 centimeters shorter than twice the length of the small base will be

AD = 2x - 3

And each of the two remaining sides of the trapezoid is 2 centimeters longer than the small base will be

AB = CD = x + 2

Then the perimeter is the sum of all sides.

If the perimeter of the trapezoid is 26 centimeters.

Then the equation of the perimeter will be

AB + BC + CD + DA = 26

x + 2 + x + x + 2 + 2x - 3 = 26

5x + 1 = 26

Then the correct option is D.

More about the trapezoid link is given below.

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Answer:

[tex]\huge\boxed{\sf x = 17}[/tex]

Step-by-step explanation:

Since m is a straight line, its measure is 180 degrees.

So,

2x + 5 + 8x + 5 = 180

2x + 8x + 5 + 5 = 180

10x + 10 = 180

10x = 180 - 10

10x = 170

Divide both sides by 10

x = 17

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!