Sadie worked 14 hours last weekend at Pickles and Onions sub shop. On Saturday, her gross
income was $90 but her net income was only $77.75. On Sunday, her gross income was $120
and her net income was $101.38.
How much did Sadie pay in payroll taxes for the weekend? /PLS HELP

Given the equation 6y = 2x, y varies directly with x and the constant of variation k has a value of 1/3.

There are two kinds of variations: direct and inverse.

Direct variation is a linear function defined by an equation of the form y = kx where variable y varies directly as x. On the other hand, inverse variation is a nonlinear function defined by an equation in the form y = k/x where variable y varies inversely as x.

Transforming 6y = 2x into a function of y,

y = 2/6 x

y = 1/3 x

where k = 1/3

Notice that it resembles the form y = kx which describes a direct variation between x and y.

Hence, the equation 6y = 2x shows that y varies directly with x and k = 1/3.

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Answer:

7

Step-by-step explanation:

→ Write the equation

40x + 120 = 400

→ Minus 120 from both sides

40x = 280

→ Divide by 40 on both sides

x = 7

The number of breaking gigs that it takes him to have is $400 will be 7  breaking gigs.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Mr. Delgado gets paid $40 per breaking gig. If he has $120 saved. If he doesn't spend any money.

Then the number of breaking gigs that it takes him to have is $400 will be

40x + 120 = 400

Simplify the equation then we have

40x = 280

x = 280/40

x = 7

The number of breaking gigs that it takes him to have is $400 will be 7  breaking gigs.

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0 - 7 = 7/5(-5 - 0) is the another equation in point-slope form of the line through the points (-5,0) and (0,7)

A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.

The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.  

Therefore,

m =  y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.

Be aware that tan ∅ = y/x

We also refer to this tan as the line's slope

If we reverse the point  (-5,0) and (0,7) as  (0,7) and  (-5,0) line we will get another equation for (-5,0) and (0,7)

We know that  point-slope form = y₂ - y₁ = m(x₂ - x₁)

But first we will find slope(m)

We know that slope = m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

For the pairs of points  (0,7) and  (-5,0)

⇒ m = [tex]\frac{0- 7}{-5 - 0}[/tex]

⇒ m = [tex]\frac{7}{5}[/tex]

⇒ m = 7/5

After we substitute the given information we get

0 - 7 = 7/5(-5 - 0)

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A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100.

The percent of the given number 79 % of 623 is 492.17.

A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100. The term percent comes from the Latin "per centum" which means per hundred. The symbol percentage is used to represent percentage.

Let the equation be 79 % of 623

Percentage = (value/total value) × 100 %.

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

79 % of 623 = 79/100 of 82

79/100 × 623 = 492.17

Therefore, the percent of the given number 79 % of 623 is 492.17.

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The arithmetic series  -5+2+9+16+ . . . . . . . +261+268  can be written using the summation notation as

[tex]7\sum\limits^{40}_{n=1} {n} -480[/tex]

Let

a(1) + a(2) + a(3) + ... + a(n)

be an arithmetic series.

Then, the nth term will follow the formula:

a(n) = a(1) + (n-1) . d

where d = the common difference.

The value of d is:

d = a(2) - a(1) = a(n) - a(n-1).

The series given is:

     -5+2+9+16+ . . . . . . . +261+268

This is an arithmetic series with a(1) = -5 and

d = 2 - (-5) = 7

Substitute these parameters into the formula of the nth term:

a(n) = a(1) + (n-1) . d

a(n) = -5 + (n-1) . 7

a(n) = 7n - 12

Let a(n) = 268, then:

268 = 7n - 12

7n = 280

n = 40

The series can, then, be expressed as:

-5+2+9+16+ . . . . . . . +261+268

[tex]=\sum\limits^{40}_{n=1} {a(n)}[/tex]

[tex]=\sum\limits^{40}_{n=1} {(7n-12)}[/tex]

[tex]=7\sum\limits^{40}_{n=1} {n} -\sum\limits^{40}_{n=1} {12}[/tex]

[tex]=7\sum\limits^{40}_{n=1} {n} -40\times12[/tex]

[tex]=7\sum\limits^{40}_{n=1} {n} -480[/tex]

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Answer:

Additive Identity Property of 0

Step-by-step explanation:

It means that additive identity is "0," as adding 0 to any number gives the sum as the number itself.

The number of ways can five of the nine us supreme court justices agree is 3024 ways.

The number of ways that five of the nine us supreme court justices agree will be calculated thus:

= 9! / 5!

= (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2) / (5 × 4 × 3 × 2)

= 3024

There'll be 3024 ways.

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Step-by-step explanation:

MEAN:0.33

STANDARD DEVIATION:0.07

WEIGHTED:0.50

0.33×0.07=0.0231÷0.50=0.0462

Answer:

(from smallest to largest)

1. 3.24 × 10^-5

2. 5.48 × 10 ^-2

3. 1.2 × 10¹

4. 4.68 × 10⁶

5. 8.34 × 10⁶

Step-by-step explanation:

We can put these in order through the exponents.

Hope this helps!

Step-by-step explanation:

Given that

To find

So, according to the question

we have,

We have to find Temperature difference of experiments

So, we can say that

Temperature difference of experiments

         = Temperature of 2nd experiment - Temperature of 1st experiment

Now, putting the all given values,

We, will get

  Temperature difference of experiments = -76 - (-51)

                                                                      = -76+51

                                                                      = -25°C,

Answer:

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Hi!

your answer is 0

hope this helps!

Answer: The decimal moves 9 places left- 1.322 x 10^-9

Step-by-step explanation:

Answer: The decimal moves 9 places left 1.322 x 10^9 so option 5

Step-by-step explanation:

Answer:

133.5

This is because transfer it to hours nd then divide and this is what you get

Expression is [tex]log_{15}25[/tex] + [tex]log_{15} 9[/tex] = 2

The properties of logarithms are

log ab = log a + log b

log a/b = log a - log b

Evaluating it:

[tex]log_{15} 25[/tex] + [tex]log_{15} 9[/tex]

= [tex]log_{15} 25*9[/tex]

= [tex]log_{15} 225[/tex]

= [tex]log_{15}15^{2}[/tex]

= 2[tex]log_{15} 15[/tex]

= 2 × 1

= 2

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By combining the like terms, the simplified form of the expression 5+10s-8s is 2s+5

Given,

The algebraic expression = 5+10s-8s

Combine the like terms

5+10s-8s = 5+2s

Simplified form is 2s+5

Hence, by combining the like terms, the simplified form of the expression 5+10s-8s is 2s+5

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The expression "4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power end quantity" or 4d^(-3)/(22d^9) is equivalent to "2 over quantity 11 times d raised to the twelfth power end quantity" or 2/(11d^12).

An algebraic expression is a number, variable, or the combination of both and operational symbols.

To determine the equivalent of the expression "4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power end quantity" or simply 4d^(-3)/(22d^9), combine all like terms and perform the necessary operations.

Using the following rules of exponents:

Quotient Rule for Exponents : a^m/a^n = a^(m - n)

Negative Exponent Rule : a^-m = 1/a^m

Simplify the expression.

4d^(-3)/(22d^9)

⇒ (4/22) [d^(-3)/d^9]

⇒ (2/11) [d^(-3 - 9)]

⇒ (2/11) d^-12

⇒ 2/(11d^12)

Hence, the equivalent expression is "2 over quantity 11 times d raised to the twelfth power end quantity" or 2/(11d^12).

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Answer:

2 over quantity 11 times d raised to the twelfth power end quantity" or 2/(11d^12).

Step-by-step explanation:

Answer:

27#(2828282(2(282)2828282828282827

The solution of the formula v = s² + 1/2sh for the indicated variable h is 2(v - s²)/s.

According to the given question.

We have a formula v = s² + 1/2sh.

Since, we have to solve the above formula v = s² + 1/2sh for the indicated variable h.

Therefore, the solution of the above formula v = s² + 1/2sh for the indicated variable h is given by

v = s² + 1/2sh

⇒ v - s² = 1/2sh    (subtracting s² from both the sides)

⇒ 2(v - s²)  = sh     (multiplying both the sides by 2)

⇒ 2(v - s²)/s = h   (dividing both the sides by s)

⇒ h = 2(v - s²)/s

Hence, the solution of the formula v = s² + 1/2sh for the indicated variable h is 2(v - s²)/s.

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The length of one side of the new square-shaped garage is 4√3 meters.

A square is a two dimensional figure that has 4 equal sides. The area of a square can be solved by multiplying the length of its side by itself.

A = s^2

where s = side length

If the initial square-shaped garage has an area of 32 square meters and will be increased by 50%, then the new area should be 50% more than the initial area.

new floor area = 50% initial area + initial area

new floor area = 50%(32) + 32

new floor area = 16 + 32

new floor area = 48 square meters

If the new garage has a floor area of 48 square meters, using the formula for the area of a square, solve for the length of its side.

A = s^2

48 = s^2

s = 4√3 meters

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Answer:

The table is linear because as x increases by 1, y changes by an average rate of |2|. You can also notice the tables both end in |+1|, which shows that the table has a constant rate of change between the two points at the end. Thus, the table is linear. If the table was nonlinear, there would be no constant rate of change between the 2 sets of data.

Answer:

after 8 years the value of the car would be $8,173.42

Step-by-step explanation:

the given P=15250

r=7.5/100=0.075

t=x

y = 15250*(1 - 0.075)^x

after 8 years we would have

x = 8

y = 15250*(1 - 0.075)^8

y = $8,173.42

after 8 years the value of the car would be $8,173.42

Answer:

8173.42

Step-by-step explanation:

I just know it's correct

Alexi’s sister saved about 18.4 meters by swimming across the river.

In this question,

Alexi walks 27 meters south and 38 meters east to get around a lake. Her sister swims directly across the lake.

The south and east directions are perpendicular.

The distance across the south, east and across the river form a right triangle, with the distance across the river as hypotenuse of right triangle.

Let x be the distance across the river.

Using Pythagoras theorem,

27² + 38² = x²

729 + 1444 = x²

2173 = x²

x = 46.6

The distance saved would be the difference between the sum of the two legs of the triangle and the hypotenuse (distance across the river).

distance saved = (27+38) - 46.6

                          = 18.4

Therefore, Alexi’s sister saved about 18.4 meters by swimming across the river.

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The 10th term of the geometric sequence as described in the task content is; 5/2.

It follows from the task content that the 10th term of the sequence is to be determined.

On this note, since the 10th term differs from the 9th term by a factor of r, common ratio.

Hence; a(10) = a(9) × r

= -5 × (-1/2)

a(10) = 5/2.

Ultimately, the 10th term is; 5/2.

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According to the question, Adelaide is the employee and she has to select a reward from four gifts. And those are 6 coffee mugs, 7 DVDs, 10 CDs and 3 gift baskets.

Now, calculate the probability that the gift is either a coffee mug or CD.

Let us assume, ‘G’ represents the gift card, ‘C’ represents the coffee mug and ‘D’ represents the CD.

The total number of items are [tex]4+6+7+10+3 = 30[/tex] items

P(G or C or D) = P(G) + P(C) + P(D)

                        [tex]= \frac{4}{30} + \frac{6}{30} + \frac{10}{30} = \frac{20}{30} = \frac{2}{3} = 67%[/tex]

Therefore , the probability to receive either a gift card or coffee mug or CD is [tex]67[/tex] percent.

What is Probability?

The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.

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Answer: the 1st one is 8.55 X 10^-5  the second one is 8.55 X 10^5

Step-by-step explanation:

when the decimal goes to the left, the exponents it's negative; when it's to the right, the exponent is positive. so one the 1st problem the decimal moved 5 spaces to the left giving it the value of 8.55 X 10^-5

The measure of an inscribed angle is one-half the measure of the central angle.

An inscribed angle in geometry is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle formed by two given points on a circle at a given point on the circle.

The measure of an inscribed angle is one-half the measure of the central angle. The measure of a circumscribed angle is 180 degrees minus the measure of the central angle.

Given: P lies outside

m ∠ABC =  m ∠DBC –  m ∠DBA  ( Addition Postulate, Subtraction Property of Equality)

m ∠DBC = m 1/2(arc DC)    

m ∠DBA = m 1/2(arc DA)  (The measure of an inscribed ∠ whose side diameter is half the measure of the intercepted arc (Case 1)).

m ∠ABC =  m 1/2 (arc DC) – m 1/2(arc DA) (Substitution)

m ∠ABC = 1/2 [m(arc DC) – m(arc DA)] (Factor)

m(arc DA) + m(arc AC) = m(arc DC) (Arc Addition Postulate)

m(arc AC) = m(arc DC) – m(arc DA) (Subtraction Property of Equality)

m ∠ABC = m 1/2 (arc AC) (Substitution)

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Answer:

y=-2x - 4

Step-by-step explanation:

The slope is 2 and the y-intercpt is -4

The number of 4 -ounce cups that the team can the team drink per game is 144.

It is given in the question that the soccer team brings a 4.5 gallon cooler of water to their games.

We have to find the number of 4 -ounce cups that the team can drink per game.

We know that,

1 gallon =  128 ounces

Hence,  we can write,

4.5 gallon = 128*4.5 = 576 ounces

Hence, by using unitary method, we can write,

Number of 4 ounce cups the team can fill per game = ounces in 4.5 gallons/ounces in a cup = 576/4 = 144 cups.

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The given triangles are congruent its that  ΔA B C ≅ ΔX Y Z.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

If ΔA B C ≅ ΔX Y Z then the corresponding sides will be the same.

Its that AB = XY , BC = YZ

The distance associated with two points (x₁, y₁) and (x₂, y₂) is given by

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

So,

(AB) = [tex]\sqrt {\left( {5 - 1 } \right)^2 + \left( {2 - 5 } \right)^2 }[/tex]

AB = 5

(XY) = [tex]\sqrt {\left( {-3 + 7 } \right)^2 + \left( {3 - 6 } \right)^2 }[/tex]

XY = 5

Similarly BC = YZ and CA = ZX.

Hence "The given triangles are congruent its that  ΔA B C ≅ ΔX Y Z".

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Answer:

-16

Step-by-step explanation:

The y-intercept is when x=0.

[tex]y=-3(0+2)^2-4 \\ \\ =-3(4)-4 \\ \\ =-16[/tex]