The Johnson family had a meal catered for a wedding rehearsal dinner. The cost of the dinner was $476. There was a 5% sales tax and they left a !5% tip. What was the total cost including the sales tax and the tip?

Answer:

15.6

Step-by-step explanation:

I hope this helps!

Answer:

15 3/5

Step-by-step explanation:

9 3/4 ÷ 5/8

39/4 ÷ 5/8

39/4 x 8/5

39 x 8 / 4 x 5

312 / 20

312 ÷ 4 / 20 ÷ 4

78/5, or 15 3/5

The decimal notation for the given value in scientific notation is 215400.

Very large or very small numbers are denoted in scientific notation to simplify complex calculations.

The scientific notation is represented by: a × 10ⁿ

Wher a - any number or decimal number

n - the power of 10; it is an integer number

To convert this into decimal notation,

The given number is in the scientific notation,

2.154 × 10⁵

Since the power of 10 is positive, the decimal point in the number 2.154 moves towards the right. I.e,

2.154 × 10⁵ = 215400

Here power is 5. So, the decimal point moved five places to the right.

Learn more about decimal notation here:

https://brainly.com/question/14222303

#SPJ1

Answer:

36 Days!

Step-by-step explanation:

So A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 5 gallons every 3 days. The question is “At this rate, how many days did it take for all 60 gallons of water to leak out of the barrel”? So What I did to find this out is multiplyed 3 by 12 to get 36 days. But When I was doing that I was also paying attention to that 5 gallons of water leak out of the barrel in 3 days, that’s why I multiplyed by 3.

If this doesn’t make sense to you I could explain it better if you need more explanation.

Hope This Helps!

-TheAnimeCatUwU

#LearnWithBrainly

Answer: D

Step-by-step explanation:

The area of each of the triangles is (1/2)(9)(8).

So the area of all 4 triangles combined is (2)(9)(8)=144.

The area of the square is 8^2 = 64

So the total surface area is 144 + 64 = 208

Answer:

300%

Step-by-step explanation:

To find percent change we need to use this formula:

\(change = \frac{Amount of change}{Original} * 100\)

To find the amount of change we need to minus 50 from 200:

200 - 50 = 150

Now that we have the amount of change we can plug it in to the equation with the original amount (50):

\(change = \frac{150}{50} = 3 * 100 = 300\)

Therefore, the percent of change is 300%.

I hope this helps!!

- Kay :)

Answer:

If you buy 3 pounds for $2, and have 8 dollars to spend, then multiply 2x4 to get $8. Since we multiplied by 4 for the money, we do the same thing for the pounds of grapes. So, we multiply 3x4 to get 12 pounds. So, you can buy 12 pounds of grapes for $8.

Step-by-step explanation:

Hope this helps! :)

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP.

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

To know more about sales visit:

https://brainly.com/question/29199569

Answer:

  1625

Step-by-step explanation:

You want the sum of the first 25 terms of the series 5 +10 +15 +....

The first term is 5, the common difference is 5, so the general term is ...

  an = a1 +d(n -1)

  an = 5 +5(n -1)

The last term of the sum is ...

  a25 = 5 +5(25 -1) = 125

The sum of the series is the average of the first and last terms, multiplied by the number of terms:

  S25 = (a1 +a25)/2 · 25 = (5 +125)/2 · 25 = 65·25 = 1625

The sum of 25 terms of the series is 1625.

<95141404393>

Yes this shape belong in a group of shapes having more than one perpendicular sides.

As listed before, the most common shapes with perpendicular sides are squares and rectangles. Another common shape with perpendicular sides is the right triangle. It is called a right triangle because it has a right angle for one of its three angles, this is where the perpendicular sides meet.

Perpendicular is a very common term used in geometry. It helps to define shapes, understand angles, and calculate missing angles. Perpendicular means two lines, or sides, that meet at a right angle. A right angle is the measurement of 90 degrees. Perpendicular sides are very common in real-life situations like houses and storage. Any box, with rectangles on each side, has perpendicular sides. Most houses have perpendicular walls because they meet at a right angle with each other. Let's discover how important perpendicular sides are in everyday life.

Perpendicular sides are at a 90-degree angle. Since they are so common, there is a special symbol to signify the sides are perpendicular without measuring. This looks like a box in the corner angle. Any angle with this box symbol is exactly 90 degrees, not a degree more or less. Below is an image that shows a rectangle that has four perpendicular sides, labeled with the boxes in each corner, signifying that each angle is a right angle or 90 degrees.

To know more about perpendicular

visit-: https://brainly.com/question/11707949

#SPJ9

Answer:

30

Step-by-step explanation:

150/5 = 30

Answer: 30

Step-by-step explanation:

Answer:

  (b)  32x^3 - y^3 + 42x^2y + 11xy^2 + 17

Step-by-step explanation:

To find the difference of the polynomials, write the equation expressing the difference, then simplify.

  (19x^3 +44x^2y + 17) - (y^3 -11xy^2 +2x^2y -13x^3)

  = (19 -(-13))x^3 -y^3 +(44 -2)x^2y +(-11)xy^2 +17

  = 32x^3 -y^3 +42x^2y -11xy^2 +17

Given:

Two concentric circles have radii of 14 and 16.

Required:

To find the area of the ring.

Explanation:

Consider the figure,

Now we have to find the area of the big circle.

The formula for area of the circle is,

Here r = 16,

Now the area of the small circle is,

Now the area of the ring is = Area of the big circle - Area of the small circle.

Final Answer:

The area of the ring is

The students should draw the conclusion that the data might have been caused by the genetic connection if the null hypothesis is rejected.

Given information;

The students determine a crucial value of 7.82 and compare it to a chi-squared value of 92.86.

Which of the following results in the chi-square goodness-of-fit test being most complete?

The null hypothesis can be rejected, and the students should conclude that the data may have resulted from the genetic linkage.

To learn more about hypothesis click here:

brainly.com/question/17173491

#SPJ4

Answer:

find the sample variance and standard deviation

Step-by-step explanation:

f(g(x)) = f( 4x ) = (4x)² - 8(4x) + 4 = 16x² - 32x + 4

The different scenarios given in the question are categorized as legitimate variables or not as given below.

What is a variable?

A variable is a symbol used to denote a mathematical object in mathematics. Any number, vector, matrix, function, function argument, set, or set element can be represented by a variable. A variable is a letter that stands in for an unknown; it always represents a number but can take on several meanings when used in an expression.

a) Numer of states that have a female governor has only one value and it cannot be varied. So it is not a legitimate variable(N).

b) The percentage of state's residents over 65 years of age is a legitimate variable (L) because the number will vary for different states.

c) The highest speed limit in the state is a legitimate variable(L) as the limits are different for different states.

d) Whether or not the state's name consists of one word is a legitimate variable(L) as it varies for different states.

Therefore the different scenarios are categorized as legitimate variables or not.

To learn more about variables, follow the link.

https://brainly.com/question/28248724

#SPJ4

Answer:

First number: 30

Second number: 22

Third number: 88

Step-by-step explanation:

22 is 8 less than 30

88 is four times more than 22

30 + 22 + 88 = 140

Answer:

18

Step-by-step explanation:

One trip around the gym would be 138 ft.

If we cut the diagonal, we use the Pythagorean theorem to find the distance of the hypotenuse, which is 51 ft.

One trip with the shortcut is 119 ft. (24 + 45 + 51 = 119).

Subtract 119 ft. from 138 feet and you have 18 ft. shorter route than walking the entire perimeter.

Answer:

6p

Step-by-step explanation:

Answer: 6p

Explanation: The word "product" is a

keyword that tells us to use multiplication.

So your answer can be written as 6 · p or just 6p.

Don't write your answer as p6.

Even though it's technically correct, I would always put

the number before the variable as a matter of form.

If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.

Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.

From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.

Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.

So,

length of arc LNM=Circumference of circle-length of arc LKM.

We know that length of an arc =Θr

in which Θ is the angle in radian.

length of arc=70*π\(/180*5\)

=70π\(/36\)

Circumference of circle=2π*5

=10π

Length of arc LNM=10π-70π\(/36\)

=(360π-70π)\(/36\)

=290π\(/36\)

Put π=3.14

=290*3.14\(/36\)

=910.6\(/36\)

=25.29m

Hence the length of arc LNM is 25.29 m.

Learn more about arc at https://brainly.com/question/2005046

#SPJ1

Answer

1

Step-by-step explanation:

anything times one equals the number multiplied by one

Hope this helps :)

Answer:

2x1=2, -2x1= -2, 2x0.5=1, -2x (-0.5)=1

HOPEFULLY THIS HELPS :3

The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

Transformation from A' to A''

Transformation from A'' to A'''

Learn more about rigid transformations in geometry here:

https://brainly.com/question/2222755

#SPJ1

Answer:

Step-by-step explanation:

The system of equations with no solution is:

y + 3x = -7

4z - 2y = 10

The system of equations with exactly one solution is:

y = 6z+8

y = 6x-4

y = 3x + 2

2z-y = 5

y=-2z+8

The system of equations with infinitely many solutions is:

4z + y = 8

Answer:

\(\frac{27}{8}\)

Step-by-step explanation:

\(\left(\frac{16}{81}\right)^{\frac{-3}{4}}=\frac{16^{\frac{-3}{4}}}{81^{\frac{-3}{4}}}\)

\(=\frac{2^{-3} }{3^{-3} }\)

\(=\frac{\frac{1}{8}}{\frac{1}{27}}\)

\(=\frac{1*27}{8*1}\)

\(=\frac{27}{8}\)

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

Read more on average here: brainly.com/question/878454

#SPJ1

Answer:

The opposite of -5/14 is 5/14.

The opposite of a number is the same as multiplying it by -1.  Any positive number is that same number negative.

I hope this helped you! If it did, please consider rating, pressing thanks, and marking my answer Brainliest. Have a great day!

Answers:

If in regards to a number line; -5/14

If you meant opposite reciprocal; 14/5

Step-by-step explanation:

There really is no opposite however instead of giving you an answer based on assumption and/or the wrong answer, I'll define math terms which can be defined as 'opposite'

Numberline opposite:

Even though this is not a whole number, it still is merely a change of a positive/negative sign to find the opposite in regards to a number line;

Therefore, in this case, the opposite of -5/14 is 5/14

Opposite Reciprocal:

I was taught "Change, flip" which reading left from right means change the symbol of positive/negative to its opposite then flip the fraction.

Therefore the opposite of -5/14, in this case, is 14/5

The P-value is not given, we can use the information from the answer choices to deduce the P-value range. The correct answer is a. x² = 1.941; 0.15 < P-value < 0.20.

The researchers are conducting a chi-square test of independence to determine if there is a relationship between being a vegetarian and having a favorite season. To calculate the test statistic, we need to compare the observed counts with the expected counts for each cell and then sum these values.
The formula for the chi-square test statistic is:
χ² = Σ [(O - E)² / E]
where O is the observed count and E is the expected count for each cell.
Calculating the test statistic:
χ² = [(6-8.4)²/8.4] + [(78-75.6)²/75.6] + [(9-6.4)²/6.4] + [(55-57.6)²/57.6] + [(15-14.8)²/14.8] + [(133-133.2)²/133.2] + [(6-6.4)²/6.4] + [(58-57.6)²/57.6]
χ² = 0.684 + 0.075 + 1.018 + 0.114 + 0.003 + 0.0003 + 0.025 + 0.003
χ² = 1.941
The test statistic is χ² = 1.941. Since the P-value is not given, we can use the information from the answer choices to deduce the P-value range. The correct answer is a. x² = 1.941; 0.15 < P-value < 0.20.

for such more question on  P-value

https://brainly.com/question/13786078

#SPJ11

Answer:χ

2

=1.966;

P-value>0.25

​

Step-by-step explanation:

The requried, 20 youths use both iPhone and Samsung, and 200 youths use neither iPhone nor Samsung.

Let A be the set of youths using only iPhones, B be the set of youths using only Samsung, and C be the set of youths using both. Then, we have:

|A| = 150

|B| = 770

|A ∪ B| = 900

We want to find |C| and |A ∩ B| (which is the number of youths using both).

Using the inclusion-exclusion principle, we have:

|A ∪ B| = |A| + |B| - |A ∩ B|

900 = 150 + 770 - |A ∩ B|

|A ∩ B| = 20

So, 20 youths use both iPhone and Samsung.

To find the number of youths who use neither, we can use the fact that:

|A ∪ B ∪ C| = 1100

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

Plugging in the values we know, we get:

1100 = 150 + 770 + |C| - 20 - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

|C| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C| = 200

Since the number of youths using both is 20, we have:

|A ∩ C| = |B ∩ C| = |A ∩ B ∩ C| = 0

So, we can simplify the equation to:

|C| = 200

Therefore, 200 youths use neither iPhone nor Samsung.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

Answer:

22

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

To add fractions, find the LCD and then combine.