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?

Answer:

[tex]x^{3}[/tex][tex]\sqrt{x}[/tex]

Step-by-step explanation:

An easier way to approach this is to separate the inside first.

[tex]\sqrt[]{x*x*x*x*x*x*x}[/tex]

Now you can group together pairs of 2, and they come out as one.

[tex]x*x*x\sqrt{x}[/tex]

Multiply all the xs on the outside, and you get

[tex]x^{3}[/tex][tex]\sqrt{x}[/tex]

Answer:

Step-by-step explanation:

The surface area of a rectangular prism is

A=2(xy+xz+yz). where x,y,z are its dimensions, in this case

A=2(12(11)+12(10)+11(10))

A=2(132+120+110)

A=2(362)

A=724 cm^2

Answer: 724cm²

Step-by-step explanation:

The formula is: 2(lw + hl + hw). Our units are 12, 11, and 10. So, the Length, Width, and Height are,

12 is the Length.

11 is the Width

10 is the Height.

Let's solve now. Our problem will be written like this,

2 · (11 × 12) + (10 × 12) + (10 × 11)

Let's solve.

1. Multiply 11 by 12.

11 × 12 = 132

2. Multiply 10 by 12.

10 × 12 = 120

3. Multiply 10 by 11.

10 × 11 = 110

4. Add up all the products.

132 + 120 + 110 = 362

5. Multiply 362 by 2.

362 × 2 = 724

Hence, 724 is the answer.

Answer:

Q = 85°

Step-by-step explanation:

P + Q = 180° (angles on the same side of transversal)

95° + Q = 180°

Q = 180° - 95°

Q = 85°

Answer:

Check pdf

Step-by-step explanation:

Answer:

fart

Step-by-step explanation:

Answer:

x=17

Step-by-step explanation:

Hello There!

The shown figure is a 6 sided figure and if you didn't know the interior angles of a 6 sided figure add up to equal 720

so

720=110+8x-1+5x+36+116+7x+19+6x-2

now we solve for x

step 1 combine like terms

110-1+36+116+19-2=278

8x+5x+7x+6x=26x

now we have

720=278+26x

step 2 subtract 278 from each side

720-278=442

we now have

442=26x

step 3 divide each side by 26

442/26=17

we're left with

x=17

Answer:

5 feet = 60 inches

Step-by-step explanation:

Every foot is 12 inches, so.. this problem can be turned into simple multiplication..

12 x 5= 60

So, Jim is 60 inches tall.

Hope this helps! :)

Have a nice day!♥

Answer:

220.5 ft²

Step-by-step explanation:

Hello There!

To find the area of the figure we want to split the figure into two shapes that a formula can easily be used to calculate their area

We split it into a rectangle with a length of 12 and a height of 14

and we split it into a trapezoid with base lengths that are equal to 7 and 14 and a height of 5

Now we can easily solve for the area

for the rectangle we use the formula

[tex]A=lw[/tex]

where l = length and w = width

[tex]a=12*14\\12*14=168\\a=168[/tex] so the rectangles area is 168 ft²

Now let's solve for the trapezoid's area

To calculate the area of the trapezoid we use the formula

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = the bases and h = height

all we have to do is plug in the values

[tex]a=\frac{7+14}{2} 5\\7+14=21\\\frac{21}{2} =10.5\\10.5*5=52.5[/tex]

so the area of the trapezoid is 52.5 ft²

Now we just add the two areas together

52.5+168=220.5

so the total area of the figure is 220.5 ft²

Answer:

p(-4) = -134

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

p(x) = x³ - 3x² + 7x + 6

p(-4) is x = -4

Step 2: Evaluate

Answer:

download symbolab or download photo math it gets I covered on most of that your grade should go up

Answer: How to solve equations

Step-by-step explanation:

You have to use Pemdas the order of operations to solve these types of equations.

Parenthesis,Exponents,multiplication,Division,Addition,subtraction.

Multiplication and division fit in a group left to right.

Addition and subtraction come last but depends on which comes first left to right.

Here you first have to use the distributive property.

3(y+5)=39 multiply 3 times y that gives you 3y. Then multiply 3 times 5 that gives you 15 . So, now you have simplified the left side of the equal sign so you have 3y+15=39 now subtract 15 from both sides and you get 3y=24 then you divide both sides by 3 to get y=8. What I just went over you do again and again to solve all these types of equations. Your trying to solve for the variable so you try to get y or m or n or any variable by itself.

The principal was $600.

Explanation:

Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this example I = $72, i = 4% and t = 3 years, so

Answer: 173,200

Step-by-step explanation:

This is very simple and I can help with this!!

Interest= Principal x Rate x Time

Interest = ($400)($72)(6)= 172,800+400= 173,200

Answer:

17

Step-by-step explanation:

This is Pythagorean Theorem. AB is the "a" side, BC is the "b" side, and the x (or AC) is the hypotenuse. In Pythagorean Theorem, a^2 + b^2 = c^2  is used to find the hypotenuse, or in this case, segment AC. We find this by doing 8^2 + 15^2 which gives us 289. We then take the square of that which is 17 to find the hypotenuse, or the length of line segment AC

Brainliest pls

Answer:

6.25 ft

Step-by-step explanation:

The smaller flag width is 5. And the larger flag is not that big in size. So the close answer is 6.25

Answer:

6.25ft

Step-by-step explanation:

Answer:

thanks have a nice day can you please mark me brainliest im trying to rank up and i  need 2 more brainlys

Step-by-step explanation:

The answer is 3.5 inches for K12 test

All i did was see what coud make 49 feet.

since 1 inch = 14 feet then i did 3 x 14 which got 42.

I then just shuffled around numbers and got 3.5.

THE ANSWER IS 3.5

Very sorry if its wrong

This is a simple division problem, there are 1000 grams in 1 kilogram, so we do 2000/8, which is 250, so Erin put 250 grams of soil in each pot.

Answer:

Step-by-step explanation:

tan B=372/279=(31×12)/(31×9)=12/9=4/3

Answer:

When we have a random function like:

y = f(x)

If there is no clarification, the domain will be the set of all real numbers except the ones that may make a problem.

For example, if there is some value of x such that there is a denominator equal to zero, then that particular value of x is not in the domain of f(x) (because we can not divide by x)

Something similar happens when we have a square root, remember that:

√x

Is a complex number if x < 0.

Then if we have a function like:

y = √x

The domain will be the set of all reals such that x ≥ 0.

Then the procedure to find the domain is to find the inputs that may have problems, and "remove" them from the domain.

For the range, we need to first know the domain, then we can evaluate the function in different points of the domain and see the outputs. Once we know all the outputs, we know the range of the function.

Usually, when working with continuous functions, these may have a global maximum M and a global minimum m, then the range is:

m ≤ Y ≤ M

if not, then the range is the set of all real numbers.

Answer:

2/3

Step-by-step explanation:

Answer:

[tex]10 + \frac{8}{u}[/tex]

Step-by-step explanation:

Given

10 [tex]plus[/tex] the  [tex]quotient[/tex]of 8 and u

Required

Represent as a mathematical expression

Square out the operators

10 [[tex]plus[/tex]] the  [[tex]quotient[/tex]] of 8 and u

[tex]plus => +[/tex]

[tex]quotient => /[/tex]

Replace the operators with their signs

[tex]10 + \frac{8}{u}[/tex]

Answer:

3.2, 12.8, 51.2,204.8

Step-by-step explanation:

simply use the common formula of geometric series:

tn= a.r^(n-1)

where, tn= nth term (term whose value you want to obtain)

a= first term

r= common ratio

n= nth value

Answer:

it got to be b 2:2