Chip is getting food at his favorite restaurant. The bill comes out to $48 with a 20% tax added on top. How much does Chip have to pay?

The possible range for x, in the terms, of BC is BC < x< 3BC.

In mathematic, there is a rule for triangle side lengths. This rule says that the sum of the lengths of any two sides of a triangle is greater than the length of the one side (third side).  Therefore,

                                           [tex]L1+L2 > L3\; (1)\\ \\ L1+L3 > L2\; (2)\\ \\ L2+L3 > L1\; (3)[/tex]      

The question gives three sides: AB (L1), BC (L2) and x (L3). Also, you know that AB=2 BC.

Applying the equation (1) of rule for triangle side lengths, you have:

L1+L2> L3

AB+BC > x

2BC+BC > x

3BC > x

x< 3BC

Applying the equation (2) of rule for triangle side lengths, you have:

L1+L3 > L2

AB+x >BC

2BC+x > BC

x > -BC

Applying the equation (3) of rule for triangle side lengths, you have:

L2+L3 > L1

BC + x > AB

BC + x > 2BC

x > BC

The intersection of the inequalities results is the solution of this problem.  Then, the possible range for x, in the terms, of BC is BC < x< 3BC. See the attached image.

Read more about the triangle inequality theorem here:

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Answer:

  [tex]\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}[/tex]

Step-by-step explanation:

The first term is 5 and the common ratio is -2. The general term for n starting at 1 can be written as ...

  an = a1·r^(n-1)

If we start n at 0, then we can eliminate the -1 from the exponent:

  [tex]\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}[/tex]

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8}*2[/tex] = [tex]\frac{6}{8}[/tex]

6/8 = 3/4

Answer:

g(x)=x2 +8= (x-0)2+8

Step-by-step explanation:

Answer:

the answer if Friday

Step-by-step explanation:

If, according to the problem, it was Tuesday three days ago, then today must be Friday. The days of the week repeat in sets of 7. If today is Friday, then 91 days from now will be Friday as well, since 91 is a multiple of 7. Thus, 90 days from now will be the day before Friday, or Thursday.

Answer:

90 days from now will be the day before Friday, or Thursday.

Step-by-step explanation:

The days of the week repeat in sets of 7. If today is Friday, then 91 days from now will be Friday as well, since 91 is a multiple of 7.

[tex]\frac{2}{3} x = 4\\2x = 4 * 3\\2x = 12\\x = 6[/tex]

Hope that helps!

Step-by-step explanation:

5-n=11/4

5-n=2.75

collect like terms

n=2.75+5

n=7.75

I hope this was helpful

Answer:

26.5ft

Step-by-step explanation:

Consider:

AB=25 ft

BC =9 ft

AC=?ft

[tex](AB)^2 + (BC)^2 = (AC)^2\\25^2+ 9^2=(AC)^2\\(AC)^2= 625+81\\[/tex]

AC=√706

AC=26.5 ft

Hope this helps! :)

The equation of second graph is  [tex]d = 2.5 t + 1[/tex]

We have given the linear equation is

[tex]d = 2.5 t +2.2,[/tex]

If the graph of the position of the second object is parallel to

[tex]d = 2.5 t +2.2,[/tex]

The equation of slope intercept form is

[tex]d=mt+b[/tex]

compare the given equation with the slope intercept form

we get  m = 2.5

t = 0, d = 1

1 = 2.5 · 0 + b

b = 1

Therefore,the equation of second graph is  [tex]d = 2.5 t + 1[/tex]

To learn more about the linear equation visit:

https://brainly.com/question/14323743

Using it's concept, it is found that of the students who like the vegetables on their pizza, the percentage that do not like meat is of 76.19%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, we have that:

Thus, the percentage is given by:

[tex]P = \frac{80}{105} \times 100\% = 76.19\%[/tex]

More can be learned about percentages at https://brainly.com/question/10491646

Answer:76.19%

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

Let x represent the amount of money he has to save each week.

We can use this to set up an equation:

[tex]7x=56[/tex]

Now, we have to "isolate the variable". This means we must have a resulting equation of [tex]x=\text{something}[/tex].

In this case, we can use the Division Property of Equality to divide both sides by 7:

[tex]\frac{7x}{7}=\frac{56}{7}\\x=8[/tex]

Therefore he must say $8 each week for 7 weeks so that he can buy the guitar.

Answer:

Peter.

Step-by-step explanation:

I’m assuming from context (your question was written poorly) you’re asking which student walked farther. This would be Peter. Why? Carol walked only 3/5 miles of the way to school, which would be .6 or .60

Peter walked .65 miles to school which is more than .60

Answer:

a=2.25

Step-by-step explanation:

Given the equation 4.5=2a, you'd finds the value of "a" and divide both sides by 2.

4.5/2=a

2.25=a

a=2.25

#1

[tex]\\ \tt\Rrightarrow -1/4(-8x+12y)[/tex]

[tex]\\ \tt\Rrightarrow 2x-3y[/tex]

#2

[tex]\\ \tt\Rrightarrow 36a-16[/tex]

[tex]\\ \tt\Rrightarrow 4(9a-4)[/tex]

Answer:

Step-by-step explanation:

The mean of the dataset is:

Increased mean is:

The sum of the numbers in the larger data set is:

The difference of sums is:

We need a combination of 3 different numbers with the sum of 54.

One option would be:

Answer:

$1,600

Step-by-step explanation:

Because she made 200 and they were $8 each. 200 times 8 equals 1,600

Answer:

150 pallats

Step-by-step explanation:

Answer:

Step-by-step explanation:

12x - 3 = 105 (parallel to each other)

12x = 105 + 3

12x = 107

12x/12 = 107/12

x = 8.9

x = 9

Answer:

See attached image

Step-by-step explanation:

Answer:

2 1 8 0 3

Step-by-step explanation:

the devidation is a

this comment doesn't exist

Answer:

See the first 3 problems solved below.

I added the next 3 problems.

Step-by-step explanation:

1.

2x + 4x = 180

6x = 180

x = 30

2x = 2(30) = 60

4x = 4(30) = 120

2.

3x + 6x = 180

9x = 180

x = 20

3x = 3(20) = 60

6x = 6(20) = 120

3.

8x + 10x = 180

18x = 180

x = 10

8x = 8(10) = 80

10x = 10(10) = 100

4.

7x + 8x = 180

15x = 180

x = 12

7x = 7(12) = 84

8x = 8(12) = 96

5.

2x + x = 180

3x = 180

x = 60

2x = 120

6.

2x + 2x = 180

4x = 180

x = 45

2x = 2(45) = 90

The value of the variable x will be 60°. Then the measure of the angles ∠GFH and ∠CBD will be 60° and 120°.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The angles ∠GFH = x and ∠CBD = 2x.

From the figure, the angles ∠GFH and ∠CBD are supplementary angles.

∠GFH + ∠CBD = 180°

x + 2x = 180°

3x = 180°

x = 60°

Then the measure of the angles ∠GFH and ∠CBD will be

∠GFH = 60°

∠CBD = 2 × 60°

∠CBD = 120°

The value of the variable x will be 60°. Then the measure of the angles ∠GFH and ∠CBD will be 60° and 120°.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

Answer:

30 degrees

Step-by-step explanation:

We know that 2x + 50 and 5x - 80 both add up to 180 degrees because they are co-interior. so, lets simplify it:

2x + 50 + 5x - 80

= 7x - 30

7x - 30 = 180

7x = 210

x = 30 degrees

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

and the sum of all angles around one point at one side of a line is also airways 180° (because you can imagine that point to be the center of a circle, and the line would cut that circle in half = 180° for every half).

in the triangle LKM we know 2 angles already :

angle 1 = 44°

angle K = 90° (right angle).

so, angle 2 = 180 - 90 - 44 = 46°

and so, angle 5 = 180 - 46 = 134°.

as the angles around point L on line KL are the angles 2 and 5.

angle 5 = 134°

Answer:

3rd option

Step-by-step explanation:

the explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{-4}[/tex] = - 3 , then

[tex]a_{n}[/tex] = - 4 [tex](-3)^{n-1}[/tex]

The value of the expressions (3.683 × 10⁴) and (7.51 × 10¹²) in scientific notation is 4.9041 × 10⁻⁹. Then the correct option is B.

The division means the separation of something into different parts, sharing of something among different people, places, etc.

The expressions are (3.683 × 10⁴) and (7.51 × 10¹²).

We have to divide (3.683 × 10⁴) from (7.51 × 10¹²).

[tex]\dfrac{3.683 * 10^4}{7.51*10^{12}}\\\\0.4904*10^{-8}\\\\4.9041*10^{-9}[/tex]

More about the division link is given below.

https://brainly.com/question/369266

Answer:

x = y - 6

Step-by-step explanation:

Use PEMDAS to move x to the other side.

y=x+6

Subtract 6 from both sides to get rid of 6 on one side to make x the subject.

y-6=x

[tex]\mathbb{FINAL\;ANSWER:}[/tex]

[tex]\huge\boxed{\sf{x=y-6}}[/tex]

[tex]\mathbb{SOLUTION\;WITH\;STEPS:}[/tex]

Hi! Hope you are having a nice day!

In order to make x the subject, we need to solve for x.

It's easy, right?

We have

y=x+6

Move x to the left. Be sure to use the opposite operation.

y-x=6

Now, move y to the right:

-x=6-y

x=-6+y

or

x=y-6

There's an easier way:

y=x+6

y-6=x

x=y-6 (See? We ended up with the same answer :) )

Hope you could understand everything.

#CarryOnLearning

Answer:

(x, y ) → (x - 4, y - 3 )

Step-by-step explanation:

consider the coordinates of A and A'

A (0, 4 ) , A' (- 4, 1 )

0 to - 4 in the x- direction means subtracting 4

4 to 1 in the y- direction means subtracting 3

then translation rule is

(x, y ) → (x - 4, y - 3 )

Answer:

10

Step-by-step explanation:

140-50 = 90 90/9 =10