Jim’s family is choosing whether to go to a restaurant for lunch or for dinner. The cost of a salad is $7 at lunch and $9 at dinner. The cost of a steak is $10 at lunch and $12 at dinner. Each person will choose either a salad or a steak regardless of the mealtime. Jim calculates the food bill to be $41 if they go during lunch and $51 if they go during dinner.

1.Write a system of equations that could be used to solve the problem. Define your variables.


2.Solve by any algebraic method (elimination/substitution). Work must be shown! How many people will choose a salad?

Answers

Answer 1

Answer:

3

Step-by-step explanation:

edge

Answer 2

Answer:

C. 3

Explanation:

edge 2020


Related Questions

6t/9-22;t=60
please help me

Answers

Answer:

if t=60, then 6(60)/9-23. (360-198)/9

=18

Can someone help me with this please

Answers

Answer:

Step-by-step explanation:

As we know, the four angles of the rectangle are 90°.

So, we need to find ∠AEB first.

∠AEB=180-44-90 (∠s sum of Δ)

= 46°

We can then work out x.

x=180-59-46 (adj. ∠s on st. line)

x=75°

If M= {m, a,t} how many subsets of M are there?

Answers

Answer:

8 {m},{a},{t},{m,a},{m,t},{a,t},{m,a,t},{}


Find the equation of the line through (-5,4) which is parallel to the line y=-x+6.
Give your answer in the form y=mx+b

Answers

Answer:

[tex]y = -x -1[/tex]

Step-by-step explanation:

Given

Passed through (-5,4)

Parallel to: y=-x + 6

Required

Determine the line equation

If it is parallel to: y=-x + 6, then it means that they have the same slope.

A linear equation y = mx + b has the slope m.

So, by comparison of y = mx + b  to y = -x + 6

[tex]m = -1[/tex]

The line equation is then calculated as:

[tex]y=m(x - x_1) + y_1[/tex]

Where

[tex]m = -1[/tex]

[tex](x_1,y_1) = (-5,4)[/tex]

So:

[tex]y = -1(x - (-5)) + 4[/tex]

[tex]y = -1(x +5) + 4[/tex]

[tex]y = -x -5 + 4[/tex]

[tex]y = -x -1[/tex]

Find the area of each. Use pi = 3.14

Answers

Answer:

452.16 inches

Step-by-step explanation:

A = pi r^2

A = 3.14 * (12)^2

A = 3.14 * 144

A = 452.16 inches

Please help!!! Find the volume of the cylinder.
Round to the nearest tenth.
r= 3 cm
3 cm
V = [ ? ] cm3
Enter the number that goes in the green box.

Answers

Answer:

V ≈ 84.8 cm³

General Formulas and Concepts:

Math

π (pi) - 3.14159265Rounding

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Identify Variables

Radius r = 3 cm

Height h = 3 cm

Step 2: Find Volume

Substitute in variables [Volume Formula]:                                                    V = π(3 cm)²(3 cm)[Volume] Evaluate exponents:                                                                      V = π(9 cm²)(3 cm)[Volume] Multiply:                                                                                           V = 27π cm³[Volume] Multiply:                                                                                           V = 84.823 cm³[Volume] Round:                                                                                             V ≈ 84.8 cm³

How many thirds are in 12?

Answers

36 thirds because 12 times 3 is 36 and 36 x 12 is 1/3

(a) Mary and Cynthia were building a cone-shaped sand castle. After some time, the diameter of
the sand shaped cone was 14 in. and the height was 15 in. What is the appoximate volume of the
sand cone rounded to the nearest tenth? (Show work!!) PLEASE HELP!

Answers

Answer:

[tex]\displaystyle V\approx 769.7\text{ in}^3[/tex]

Step-by-step explanation:

We are given that the diameter of the sand-shaped cone is 14 inches, and the height is 15 inches.

The volume for a cone is given by:

[tex]\displaystyle V=\frac{1}{3}\pi r^2h[/tex]

Where r is the radius and h is the height.

Since the diameter is 14, the radius is 7.

And we are given that the height is 15.

Therefore, the volume will be:

[tex]\displaystyle V=\frac{1}{3}\pi (7)^2(15)[/tex]

Use a calculator:

[tex]\displaystyle V\approx 769.7\text{ in}^3[/tex]

The volume of the cone is approximately 769.7 cubic inches.

3/4 of 1/3 =? please show me how to do it

Answers

I haven’t done this in a while, but I believe that the “of” in the equation means multiply so you do 3/4 x 1/3 to get 3/12 (simplified to 1/4)!!

4. Estimate:

2 1/6 - 1 2/7 =

Answers

Answer:

Uhh I just want the points

Which graph represents the function?

f(x)=−x2+x+6

Answers

First page , second image is the correct answer :)

A suitcase is discounted 40 % off the original price, p . Which expression represents the price of the suitcase with the discount?

Answers

Answer:

Step-by-step explanation:

b

0.6p is the expression represents the price of the suitcase with the discount

How to calculate perecent discountHow can I figure out a discount of X%?You apply the fundamental formula given above in this situation.Take the original cost.The result is multiplied by the discount and divided by 100.Subtract the updated amount from the starting cost.Your total price is that. Enjoy your discounts!

To learn more about discount, refer to https://brainly.com/question/1548141

#SPJ1

write an expression that mean "eight less than product of seven and X".​

Answers

Answer:

7x - 8

Step-by-step explanation:

eight less than product of seven and X

seven and x = 7x

eight less than = - 8

put it all together = 7x - 8

Answer:

7x - 8

Step-by-step explanation:

product of seven and X

7 X x = 7x

8 less than it

7X - 8

This is because we're looking for something that is smaller than 7X by 8

A square pyramid has a base with a side length of 6 inches and lateral faces with heights of 11 inches. What is the surface area of the pyramid?

Answers

Answer:

[tex]\huge\boxed{\sf 168\ in.\²}[/tex]

Step-by-step explanation:

Surface area of the base:

= Length * Length

= 6 * 6

= 36 in.²

Surface Area of 1 Lateral Face:

= [tex]\sf \frac{1}{2} (Base * Height)[/tex]

Base = 6 inches

Height = 11 inches

= 1/2 (6*11)

= 3 * 11

= 33 in.²

Surface Area of 4 lateral faces:

= 33 * 4

= 132 in.²

Surface Area of the whole pyramid:

= 132 + 36

= 168 in.²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

SA = 168 in.²

Step-by-step explanation:

The surface area is the sum of the area of the base and the areas of the 4 congruent triangular sides.

s = side of the base

h = height of each side

SA = s² + 4(sh/2)

SA = (6 in.)² + 4(6 in.)(11 in.)/2

SA = 36 in.² + 132 in.²

SA = 168 in.²

Use the distributive property to write an equivalent expression. (6+8)x 2​

Answers

28 is the correct answer

Can someone plz help me with my whole homework?


1.The original price is $20. The Percent of Discount is 20%. What is the sale price?

2.The original price is $95. The Percent of Discount is 35%. What is the sale price?

3.The Percent of Discount is 75%. The sale price is $55.50. What is the original price?

4.The Percent of Discount is 40%. The sale price is $78. What is the original price?

5.Find the selling price. The cost to store: $20. The markup: 15%.

6.Find the selling price. The cost to store: $56. The markup: 80%.

7.Find the selling price. The cost to store: $110. The markup: 140%.

8.A store buys an item for $10. To earn a profit of $25, what percent does the store need to markup the item?

9.An account earns simple interest. Find the interest earned.
$400 at 7% for 3 years

10.An account earns simple interest. Find the balance of the account.
$400 at 7% for 3 years

11.An account earns simple interest. Find the interest earned.
$1200 at 5.6% for 4 years

12.An account earns simple interest. Find the balance of the account.
$1200 at 5.6% for 4 years

13.Find the annual interest rate.
I = $18, P = $200, t = 18 months

14.Find the annual interest rate.
I = $310, P = $1000, t = 5 years

15.Find the amount of time.
I = $60, P = $750, r = 4%

16.Find the amount of time.
I = $825, P = $72500, r = 5.5%

17.You put $500 in a savings account. The account earns $15.75 simple interest in 6 months. What is the annual interest rate?

Answers

Answer:

Step-by-step explanation:

Answer:

people may not be doing it because u have it up for 5 points and it is alot  of work.

Step-by-step explanation:

An angle with a measurement of 90 degrees is called?

Answers

Answer:

A right angle

Step-by-step explanation:

Answer:

Right angle. Its angle is in the corner and measured 90 degrees.

Step-by-step explanation:

Expand t (4t - 4 ) answer if you can plz ​

Answers

Answer:

42−4

Step-by-step explanation:

Answer:

4t^2 −4t

Step-by-step explanation:

t(4t−4)

Use the distributive property to multiply t by 4t−4.

4t^2 −4t

What's the slope of the line through (1,3) and (-2,-3)

Answers

Answer:

m = 2

The slope of the line through (1, 3) and (-2, -3) is 2!

The formula to find the slope is attached below.

Hope I was of help. Have a good new year!


Mr. Bernstein owns 11 paintings, but has only enough wall space in his home to display five of
them at any one time. How many ways can Mr. Bernstein display three paintings in his home?

Answers

Answer:

In algebra, we often study relationships where a change to one variable causes change in another variable. Describe a situation you’re familiar with where one quantity changes constantly in relation to another quantity. How are the two quantities in the situation related? If you represent the two quantities on a graph, what will it look like?

Step-by-step explanation:

Round 1231.50432 to the nearest tenth

Answers

Answer:

1231.5

Step-by-step explanation:

I hope this help.

If the sum of two numbers is 10 and the diffference is 6, find the numbers​

Answers

8 and 2
8+2 = 10
8-2 = 6

X + y = 10

Rewrite as y = 10-x

Y - x = 6

Replace y

10-x -x = 6

Simplify:

10-2x = 6

Subtract 10 from both sides:

-2x = -4

Divide both sides by -2:

X = 2

Now replace x in the first equation:

2 + y = 10

Subtract 2 from both sides:

Y = 8

The two numbers are 8 and 2

The greater number
Is 0.098% greater than 7 1/3

Answers

Answer:

the greater number is 7 1/3.

The approximate length (in cm) of a typical Pacific halibut t years old is given by f(t) = 200(1 -0.956e-0.181).
A Pacific lialibut caught by Mike measures 140cm. What is its approximate age?​

Answers

Answer:

6 years old

Step-by-step explanation:

Given

[tex]f(t) = 200(1 -0.956e^{-0.18t})[/tex]

Required

Find t when f(t) = 140cm

Substitute f(t) = 140cm

[tex]140 = 200(1 -0.956e^{-0.18t})[/tex]

Divide both sides by 200

[tex]0.7 = 1 -0.956e^{-0.18t}[/tex]

Collect like terms

[tex]0.956e^{-0.18t} = 1 -0.7[/tex]

[tex]0.956e^{-0.18t} = 0.3[/tex]

Solve for t

[tex]e^{-0.18t} = 0.3/0.956[/tex]

[tex]e^{-0.18t} = 0.31381[/tex]

Take natural logarithm of both sides

[tex]ln(e^{-0.18t}) = ln(0.31381)[/tex]

[tex]-0.18tln(e) = ln(0.31381)[/tex]

[tex]-0.18t*1 = ln(0.31381)[/tex]

[tex]-0.18t = -1.159[/tex]

Solve for t

[tex]t = (-1.159)/(-0.18)[/tex]

[tex]t = 6.43[/tex]

[tex]t \approx 6[/tex]


If
[tex] \alpha \beta [/tex]
are the roots of 3x²+2x-1=0 then 1/
[tex] \alpha [/tex]
+1/
[tex] \beta [/tex]
is​

Answers

Answer:

2

Step-by-step explanation:

Given the quadratic equation

3x²+2x-1=0

Let tthe root be α and β

Sum of root α+β = -b/a

Product of root αβ = c/a

Given that;

a = 3, b = 2 and c = -1

α+β = -2/3

αβ = -1/3

To get 1/α + 1/β

Find the LCM

1/α + 1/β

= (α+β)/αβ

= (-2/3)/(-1/3)

= -2/3 * 3/-1

=  2

Hence the required answer  is 2

Ford provides an option of a sunroof and side air bag package for its Windstar model. This package costs$1400. Ford wants todetermine the percentage of Windstar buyers who would pay $1400 extra for the sunroof and side air bags. How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers

Answers

Answer:

601 buyers must be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers?

We need to survey n buyers. n is found when [tex]M = 0.04[/tex]. We dont have an estimate for the proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]

[tex]n = 600.3[/tex]

Rounding up

601 buyers must be surveyed.

Notice that the rule for each animal involves counting the number of chirps in different time intervals. For the Brookdale cricket you count the number of chirps in 15 seconds and for the katydid you count the number of chirps in 20 seconds. If c is the number of chirps per minute, what is the expression for the number of chirps for i) The Brookdale cricket in 15 seconds

Answers

B= 15c maybe I think

The measure of an angle is 72 degrees what is the measure of its conplementary angle

Answers

Answer:

18

Step-by-step explanation:

what is the value of p+9 when p=16​

Answers

Answer:

25 :)

Step-by-step explanation:

well, if it's p+9 and you know that p=16 then you plug 16 in for p so the equation will be 16+9 and then you solve from there which is 25

(16y ⁵/ 4y³) ¹/2 simplify expression

Answers

2y

Step-by-step explanation:

16y^5-3/4)

16y²/4)

4y²)1/2

2y

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