7. A group of friends orders pizza at a restaurant. Each person gives some money to Chris before they order.

a. Chris has $63 to spend on the order, including tax. The tax at the restaurant is 5%. What is the maximum cost of food the group can order and not go over $63? Explain your reasoning.

b. Chris wants to leave a 15% tip on the price of the food, calculated before sales tax. What is the maximum cost of food the group can order and not go over $63? Explain.

Answer:

11a) x=18

11b) 6x=108

11c) 4x=72

Step-by-step explanation:

11a) A line is equal to 180 degrees. Therefore, 6x and 4x have to add up to be 180.

6x+4x=180

10x=180

x=18

11b) We know what x is so we have to plug x into the expression. 6x=6(18)=108. 6x=108

11c) We know what x is so we have to plug x into the expression 4x=4(18)=72

4x=72.

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Answer:

8×5= 40 is the answer .......

One pitcher serves 8 people, so to figure out how many 5 pitchers would serve you would do 8×5 which is 40. 5 pitchers would serve 40 people. I hope this helps!

Answer: 48 cm

Step-by-step explanation:

12 + 12 + 12 + 12 = 48

40 minutes of 8 hours as a fraction is 1/12.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).

Given are 40 minutes to 8 hours.

We can write -

(40 minutes/8 hours)

{40 minutes/(8 x 60)}

(40/480)

1/12

Therefore, 40 minutes of 8 hours as a fraction is 1/12.

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Answer:

y = 4.69X + 52.93 ;

As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $4,690. ;

$86000

Step-by-step explanation:

Given the data:

X:

34

66

89

56

71

80

111

51

23

36

100

35

71

68

163

56

86

58

128

33

Y:

3

1

4

3

7

2

7

0

7

2

1

1

6

9

5

0

5

4

9

0

The regression equation obtained using a linear regression calculator :

y = 4.689X + 52.93182

Where ;

y = Salary ; x = Educational attainment

Slope is the Coefficient of x = 4.689

Intercept = 52.93

The slope value in thousand = 4.689 * 1000 = 4689 = 4690 (the slope is interpreted to the mean the change in y value per unit change in the value of x)

Therefore, salary increases by about $4690 for every unit increase.

If x = 7

y = 4.689(7) + 52.93182

y = 32.823 + 52.93182

y = 85.7548

Salary =, $86,000

Answer:

[tex]4i \sqrt{6} [/tex]

Answer:

1,440 inches^3

Step-by-step explanation:

First, remember the formula for volume is v = l x w x h

Next, sub in your values for your prism 6 x 15 x 16 = 1,440in^3

So, the final answer is 1,440 inches^3

Answer:

-11

Step-by-step explanation:

m + n = - 2

4(m + n) = - 2(4) (multiplying both sides by 4)

4m + 4n = - 8

4m + 4n - 3 = - 8 - 3 (Subtracting 3 from both sides)

4m + 4n - 3 = - 11

Answer:

6 units

Step-by-step explanation:

9x - 4 = 2 ( 5x - 5 )

9x - 4 = 10x - 10

10x - 10 = 9x - 4

10x - 9x = - 4 + 10

x = 6

Answer:

10999

Step-by-step explanation:

9560 + 1439 = 10999

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Answer:

144

Step-by-step explanation:

9+2+4+6+123=

11+10+123
21+123
144

Answer:

A. 103 degrees

B. 77 degrees

C. 60 Degrees

Step-by-step explanation:

A. Triangles' interior angles add up to 180, so if you already have 2 angles you just need to put them together, and subtract them from 180.

47+30=77

180-77=103

B. Lines also are 180, so 103-180=77

C. Interior angles of a triangle add up to 180, so 180/3 is how you get your answer.

Answer:

10/12 , 15/18 , 20/24 ...etc

9514 1404 393

Answer:

  A) The first inequality has a dashed boundary line with a slope of 4 and a y-intercept of -2. The shading is below the line. The second inequality has a solid boundary line with a slope of 5/2 and a y-intercept of -2. The shading is above the line. The solution space is a narrow wedge extending up and to the right of the y-intercepts at (0, -2) through the fourth quadrant into the first quadrant.

  B) Not in the solution space. The point does not satisfy y < 4(-2) -2 because -2 is not less than -10.

Step-by-step explanation:

Part A:

The boundary line of each inequality is in slope-intercept form, so can be drawn easily by finding points with the appropriate slope=rise/run from the common y-intercept at (0, -2).

The first inequality does not include the "or equal to" case, so the boundary line will be dashed. The relation of y and the inequality symbol is y < ( ), so the shading will be below the line, where y-values are less than those on the line.

The second inequality includes the "or equal to" case, so the boundary line is solid. The relation of y and the inequality symbol is y ≥ ( ), so the shading will be above the line, where y-values are greater than those on the line.

The two shaded areas overlap in a narrow wedge between lines with slope 2.5 and 4. The lower-left point of the wedge is the common y-intercept at (0, -2). It extends through the fourth quadrant into the first quadrant. This wedge is the solution area.

__

Part B:

Based on the above description, no part of the solution space is in the third quadrant, where the point (-2, -2) lies. The point is not in the solution space. It does not satisfy the first inequality:

  [tex]-2\nless(4)(-2)-2=-10[/tex]

Answer:

39.96 in²

Step-by-step explanation:

10.8x3.7=39.96

Answer:

19.98

Step-by-step explanation:

area=½×base ×height

½×10.8×3.7

=19.98

Answer:

Option (1)

Step-by-step explanation:

Given : m(arc BCD) = 148°

By the property,

Inscribed angle formed by an arc measures half the measure of the arc.

m(arc BCD) = 2(m∠BCD)

148° == 2(m∠BCD)

m(∠BCD) = 74°

Therefore, Option (1) will be the correct option.

93

because if the team second wones the match with two points then the answer will be 93

Answer:

30,34,38,42,46,50,54,58,62,66,70

Answer:

57 dollars and 66 cents will be subtracted from the depositeand get the answer of 157.66

Step-by-step explanation:

Answer:

a. x^4 - 12x^3 + 2x^2 - 2x + 4

Degree: 4

b. x^4 - 2x^2 - 2x - 4

Degree: 4

Step-by-step explanation:

For part a, all you are doing is adding the polynomials together. They already set up the boxes in standard form, so all you need to do is add each like term as I wrote out in the answer. The degree is then going to be the first exponent that you see once the polynomial is in standard form, which is 4.

For part b, you are now subtracting the polynomials. Again, it is set up for you in standard form. There is no x^3 terms because they cancel out, but you basically subtract each like term from another, and remember to distribute the subtraction sign (it acts as a -1) across the parenthesis. The degree is the first exponent you see, and that is 4.

Candles should burn one hour for every 1 inch in diameter of the actual candle size. For example, a candle that is 2 inches across should burn for 2 hours.

At what rate does then candle burn, in inches per hour?

Smaller candles with smaller wicks will burn at a rate of 7 to 9 hours per 28 g of wax used. Larger candles with larger wicks consume wax at a faster rate. The larger wicks can be expected to yield 5 to 7 hours per 28 g of wax used.

Estimate the total number of burns by dividing the total wax weight used in the candle (not the weight of the candle with container) by the amount of wax used from burning the candle. Finally, multiply the estimated total burns by the burn time hours. This will provide an estimate of the candle's burn time.

The two main factors for burning candles is wick size and type of wax. Wider or thicker wicks will burn much faster than thin ones, and the material the wick is made with can also make an impact. Different types of candle wax burn at different temperatures.

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Answer:

the answer is 0 you're welcome bye

The correct factorization of 33³ × 39 × 4¹¹ = 2²² × 3⁴ × 11³ × 13

Factorization is the collecting together of the common terms of an expression so as to have it in simpler form.

To find  the correct factorization of 33³ × 39 × 4¹¹, we write out each term in terms of its common factors.

so, we have that the factorization of the first term is 33³ = (3 × 11)³ = 3³ × 11³

Also, we have that the factorization of the second term is 39 = 3 × 13

Finally, we have that the factorization of the last term is 4¹¹ = (2²)¹¹ = 2²²

So, we have that 33³ × 39 × 4¹¹ = 3³ × 11³ × 3 × 13 × 2²²

= 3³ × 3 × 13 × 11³  × 2²²

= 2²² × 3⁴ × 11³ × 13  

So, the correct factorization is 2²² × 3⁴ × 11³ × 13

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Answer:

i think it 20 if im wrong im sorry

The height of the prism is 9 inches if the area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

Please refer to the attached picture for the figure:

We have:

The area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.

As we know the area of the rectangular face = lengthxwidth

From the figure:

The area of the rectangular face = hx5

h is the height of the rectangular prism.

45 = hx5

h = 45/5

h = 9 inches

Thus, the height of the prism is 9 inches if the area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.

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Answer:

yahh

Step-by-step explanation:

thats true

i know its help

Answer:

True

Step-by-step explanation:

Two congruent figures have the same shape and size.