The meal tax at a restaurant is 5.5%. What is the meal tax on a dinner that costs $24?
A. $29.50
B. $1.32
C. $25.32
D. $5.50

Answer:

d. 48 inches

Step-by-step explanation:

We assume the mirror is a rectangle

We solve for the length of a diagonal using Pythagoras Theorem

a² + b² = c²

c = √a² + b²

Where c = diagonal

a = 30 inches

b = 38 inches

c = √30² + 38²

c = √2344

c = 48.414873748 inches

Approximately = 48 inches

Answer:

mrs heershap

Step-by-step explanation:

Answer:

348

Step-by-step explanation:

Answer:

The score of the dropped grade is 6

Step-by-step explanation:

To find the average of a set of numbers you need to add all the numbers and divide by how many numbers there are. The problem wants you to solve it in reverse. Let put this into an algebraic equation with a, b, c, d, and e being the variables of the test scores

(a+b+c+d+e)/5=10

Then we can multiply both sides by 5 and get

a+b+c+d+e=50

Lets assume that c is the lowest test score. To calculate the average of that we get

a+b+d+e/4=11

Doing the same thing, we know that a+b+d+e=44

Now compare the two:

a+b+c+d+e=50

a+b+d+e=44

We can now know that c=50-44=6

So, 6 is the score of the dropped quiz. Hope that helped!

Answer:  Slope intercept form:  y = mx + b

A. y = 4/7 x + 27/7

Screenshot attached.

Step-by-step explanation:  Slope is m. In this example, it is 4/7.  The y-intercept is b. in this example it is 2 in the question and 27/7 in the answer choice.

First clue why A is the answer: the slope must be the same if the lines are parallel

Answer:

B a parrelel line means there not inerscting

Step-by-step explanation:

Answer:

2m/s

Step-by-step explanation:

Acceleration = force / mass

Acceleration = 40N / 20 kg

Acceleration = 2 m/s^2

Answer:

It should be 60 feet following the pattern!

It would cast a 60 foot shadow following the pattern but depending on how far the trees are apart the 30 foot tree could also cast a 40 foot shadow:)

Answer:

The numbers are;

x = 100/3,  y = 100/3,  z = 100/3

Step-by-step explanation:

Given the data in the question;

so let the numbers be; x , y and z

so

x + y + z = 100

now

G(x,y,z) = x + y + z - 100

F(x,y,z) = xyz

Fx = yz, Gx = 1

Fy = xz, Gy = 1

Fz = xy, Gz = 1

Fx = λ × Gx

yz = λ

Similarly, xz = lambda

And xy = lambda

From above clearly, x = y = z

x + y + z = 100

so

3x = 100

x = 100/3

since, x = y = z therefore, each number is equal to 100/3

x = 100/3,  y = 100/3,  z = 100/3

We want to find 3 positive numbers such that their sum is 100 and the product is maximum.

The maximum product is P = 37,025.93

Let's say that our 3 numbers are:

A, B, and C.

We must have:

A + B + C = 100

The product of these 3 numbers is:

P = A*B*C

For the restriction, we can write:

A = 100 - B - C

Now we can replace that in the product equation to get:

P = (100 - B - C)*B*C

P = 100*B*C - C*B^2 - B*C^2

Now we want to maximize this, to do it, we need to find the zeros of the derivate of the function. This is a two-variable function, but the dependence on C is exactly the same as the dependence on B, so we can find the zero of deriving with respect to one of these only.

dP/dB = 100*C - 2*C*B - C^2 = 0

             C*(100 - 2*B - C) = 0

One solution is C = 0, the other is:

C = 100 - 2*B

And from the first restroctopm:

A + B + C = 100

we can get:

C = 100 - A - B

Then:

100 - A - B = 100 - 2*B

Then we get A = B

And if we derive the equation for C instead of B, we will get similar results that will lead to:

A = B = C.

This is what maximizes the product, then we have:

A + B + C = 3*A = 100

A = 100/3 = 33.33

P = (33.33)^3 = 37,025.93

This is the maximum product.

If you want to learn more, you can read:

https://brainly.com/question/11212148

Answer:

6

Step-by-step explanation:

U divide 18 by 3.

Answer:

9

Step-by-step explanation:

In slope-intercept form of linear equation y = mx + b , value of "b" is y-intercept.

Let solve 3x + 2y = 18 for "y"

2y = - 3x + 18

y = [tex]-\frac{3}{2}[/tex] x + 9 ⇒ 9 is y-intercept.

===========

There is another way to solve this kind of problems:

Coordinates of y-intercept are (0, y) .

3(0) + 2y = 18

2y = 18

y = 9

(0, 9)  

Answer:

B) Statistic

Step-by-step explanation:

The mean age of U.S. first ladies when they married would be a Statistic. This is because the mean age would be a specifically targeted value of the population that is being analyzed. In this scenario, the population would be all of the First Ladies, while the Sample would be the data gathered from the population under certain parameters. Statistics can be a variety of different values that revolve around the samples gathered such as average age, average height, max number of blue-eyed First Ladies, etc.

Given:

John invest $5,000 in one account and $8,000 in an account paying 4% more in interest.

Total interest in one year = $1230

To find:

The rates of the investments.

Solution:

Let x% be the rate of interest on investment $5000.

Then, (x+4)% is the rate of interest on investment $8000.

Total interest is $1230. So,

[tex]5000\times \dfrac{x}{100}+8000\times \dfrac{x+4}{100}=1230[/tex]

[tex]50x+80(x+4)=1230[/tex]

[tex]50x+80x+320=1230[/tex]

[tex]130x=1230-320[/tex]

[tex]130x=910[/tex]

Divide both sides by 130.

[tex]x=\dfrac{910}{130}[/tex]

[tex]x=7[/tex]

Now,

[tex]x\%=7\%[/tex]

[tex](x+4)\%=(7+4)\%=11\%[/tex]

Therefore, $5,000 is invested at 7% and $8,000 is invested at 11%.

Answer:

You have the right answer ( y=4x )

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Answer:

2.29 × (2.50 × 4) is equivalent.

Step-by-step explanation:

It doesn't matter what order multiplication happens in, it will result in the same answer!

Answer:

28416

Step-by-step explanation:

No digits can be repeated

"All my digits are factors of 24" This means that the possible digits are: 1, 2, 3, 4, 6, 8

"The digits in my thousands place equals the perimeter of a 2x2 array" That would be 8

"The digits in my ten thousand places is twice the value of the digits in the hundreds place, but half the value of the digits in the thousands place" That would be 4, which also means that the ten thousands place is 2

"The digits in my tens place equal the number of lines of symmetry in an isoceles triangle" There is only 1 lines of symmetry

This means that we have 2841(?)

Because this number is even and no digits can be repeated, the only possible digits from those available is 6

Therefore the number is 28416

Answer:

i dont know maybe you should search google. best of Luck

Step-by-step explanation:

Answer:

c. $1,291.30

Step-by-step explanation:

Calculation what will his new annual homeowners insurance premium be

Insurance premium= [$1,106.30+ ($0.37/ $100*$50,000)]

Insurance premium=$1,106.30+$185

Insurance premium=$1,291.30

Therefore what his new annual homeowners insurance premium will be is $1,291.30

Answer:

c

Step-by-step explanation:

edge 2021

Answer:

Jay will need 2 and 1/3 pounds of turkey.

Step-by-step explanation:

Since Jay uses 1/3 per sandwich and is making 7, multiply 7 by 1/3.

That gets you 7/3s

Convert it into a mixed number.

3 goes into 7 twice, with one third left over.

So, Jay needs 2 1/3.

hope this helped!

Answer:

approximately 2.3 pounds of turkey. Trust the BlueDragon

Step-by-step explanation:

7 times 1/3= 2.33333

Answer:

9 cm explained to

Step-by-step explanation:

explained that

Answer:

The initial value is $78

Step-by-step explanation:

Given

[tex]Base\ Amount = \$78[/tex]

[tex]Additional = \$30[/tex] (weekly)

Required

Determine the initial value

The initial value is the amount he has in its bank account before making his weekly savings.

From the question, we have that his initial balance is $78.

Hence, the initial value is $78

However, his weekly balance can be expressed as:

[tex]Balance = Base\ Amount + Additional * number\ of weeks[/tex]

Represent number of weeks with x; So, we have:

[tex]Balance = 78 + 30 * x[/tex]

[tex]Balance = 78 + 30 x[/tex]

Answer:

[tex]Perimeter = 38.6[/tex]

Step-by-step explanation:

Given

[tex]A\ B = 13[/tex]

[tex]B\ F = 9[/tex]

[tex]F\ C = 5.6[/tex]

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

[tex]Perimeter = A B + B\ C + A\ C[/tex]

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

[tex]B\ C^2 = B\ F^2 + F\ C^2[/tex]

Substitute values for BF and FC;

[tex]B\ C^2 = 9^2 + 5.6^2[/tex]

[tex]B\ C^2 = 81 + 31.36[/tex]

[tex]B\ C^2 = 112.36[/tex]

[tex]B\ C^2= \sqrt{112.36[/tex]

[tex]B\ C = 10.6[/tex]

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

[tex]A\ B^2 = B\ F^2 + A\ F^2[/tex]

Substitute values for B F and A B;

[tex]13^2 = 9^2 + A\ F^2[/tex]

[tex]169= 81 + A\ F^2[/tex]

[tex]A\ F^2 = 169 - 81[/tex]

[tex]A\ F^2 = 88[/tex]

[tex]A\ F = \sqrt{88[/tex]

[tex]A\ F = 9.4[/tex]

Since F lies on line A C:

[tex]A\ C = A\ F + F\ C[/tex]

[tex]A\ C = 9.4 + 5.6[/tex]

[tex]A\ C = 15.0[/tex]

Recall that:

[tex]Perimeter = A\ B + B\ C + A\ C[/tex]

[tex]Perimeter = 13 + 10.6 + 15.0[/tex]

[tex]Perimeter = 38.6[/tex]

Hence, the perimeter is 38.6

Given that P is the orthocenter of triangle ABC, applying the properties of an orthocenter of a triangle and the Pythagorean Theorem, each measure and the perimeter of △ABC are:

Recall:

Given that P is the orthocenter of triangle ABC, where,

Perimeter of △ABC = AB + BC + AC

First, we need to find BC and AC.

△BFC is a right triangle, apply Pythagorean theorem to find BC:

[tex]BC = \sqrt{BF^2 + FC^2}[/tex]

[tex]BC = \sqrt{9^2 + 5.6^2}\\\\\mathbf{BC = 10.6}[/tex]

△BFA is a right triangle, apply Pythagorean theorem to find FA:

[tex]FA = \sqrt{AB^2 - BF^2}[/tex]

[tex]FA = \sqrt{13^2 - 9^2}\\\\\mathbf{FA = 9.4}[/tex]

AC = FA + FC

AC = 9.4 + 5.6

AC = 15

Perimeter of △ABC = AB + BC + AC

Perimeter of △ABC = 13 + 10.6 + 15

Perimeter of △ABC = 38.6 units

Therefore, given that P is the orthocenter of triangle ABC, applying the properties of an orthocenter of a triangle and the Pythagorean Theorem, each measure and the perimeter of △ABC are:

Learn more here:

https://brainly.com/question/2515607

Answer:

D. 8, 840, 832,000

Step-by-step explanation:

The computation of the number of license plates possible is shown below:

Here the first position could be taken by any of the five odd numbers

The second position could be taken by any of the 4 odd numbers

The third position could be taken by the eight left numbers

The fourth position could be taken by another seven numbers

Als the first digit could be any of the 26 upper case letters and so on

So,

= 5 × 4 × 8 × 7 × 26 × 25 × 24 × 23 × 22

= 8,840,832,000

Therefore option D is correct

Answer:

Thank you

Step-by-step explanation:

Answer:

2+2 is 4-1=3 quick maths

Step-by-step explanation:

Answer:

2+(2) is the same to adding 2+2 because the "(" " )" just mean the you have to add the 2 + 2 just like----- 2+2

Here is one: (14, 48, 50)