Juan chooses 4 items for his main course, 1 drink, and 1 dessert in a restaurant. The total cost of the meal is $9.80. Each main course item costs $1.10 and the dessert costs 50¢ more than the drink.

Let d represent Juan's dessert and r represent his drink.

Select True or False for each statement

Juan Chooses 4 Items For His Main Course, 1 Drink, And 1 Dessert In A Restaurant. The Total Cost Of The

Answers

Answer 1

Answers:

A) TrueB) FalseC) FalseD) TrueE) True

===========================================

Explanation:

The two items given

"Juan choses 4 items for his main course""each main course item costs $1.10"

tells us that he spends 4*1.10 dollars on just the main course items. So that's why choice A is true.

-----------

From part A, we know that Juan spends 4*1.10 = 4.40 dollars on just the main course items. We also know the total cost of the meal is $9.80

This leaves 9.80 - 4.40 = 5.40 left over

Meaning that $5.40 is spent on dessert and drinks

The equation in part B is close, but the 4.40 should be 5.40 instead.

Choice B is false

-----------

"The dessert costs 50 cents more than the drink" means

r = d+0.50

Whatever the drink costs (d), we add on 50 cents or $0.50 to get the cost of the dessert (r). This is why choice C is false.

-----------

The system of equations we have so far is

[tex]\begin{cases}5.40 = d+r\\r = d+0.50\end{cases}[/tex]

Start with the first equation, plug in r = d+0.50, and solve for d

5.40 = d+r

5.40 = d+d+0.50

5.40 = 2d+0.50

2d+0.50 = 5.40

2d = 5.40-0.50

2d = 4.90

d = 4.90/2

d = 2.45

Each drink costs $2.45, so choice D is true because Juan only bought one drink.

-----------

Lets use this value of d to find r

r = d+0.50

r = 2.45+0.50

r = 2.95

Each dessert costs $2.95, making choice E true as well (since he only bought one dessert).


Related Questions

Solve the following system of equations. y + 5x = 30 2y = 5x + 15

Answers

Answer: Solve   2y-5x-30  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2y-5x-30  = 0 and calculate its properties

Step-by-step explanation:

Answer:

x = 3, y = 15

Step-by-step explanation:

Given the 2 equations

y + 5x = 30 → (1)

2y = 5x + 15 → (2)

Subtract 5x from both sides in (1)

y = 30 - 5x → (3)

Substitute y = 30 - 5x into (2)

2(30 - 5x) = 5x + 15 ← distribute left side

60 - 10x = 5x + 15 ( subtract 5x from both sides )

60 - 15x = 15 ( subtract 60 from both sides )

- 15x = - 45 ( divide both sides by - 15 )

x = 3

Substitute x = 3 into (3) for corresponding value of y

y = 30 - 5(3) = 30 - 15 = 15

Thus solution is x = 3, y = 15

what is (0.6)(-2.5)?

Answers

Answer:

The correct answer is

-1.5

what is the slope of y-5 = 4 ( x+3)

Answers

Answer:

slope -5/4

Step-by-step explanation:

Sadie spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -6.2°F. Between 9am and noon, the temperature increased by 2.6°F. Between noon and 3pm, the temperature dropped 18.6°F. Between 3pm and 6pm, the temperature dropped 6.5°F. What was the temperature at 6pm

Answers

Answer:

-28.7

Step-by-step explanation:

-6.2 + 2.6 = -3.6 - 18.6 = -22.2 - 6.5 = -28.7

Hopefully I did this right, reply if you have any corrections or questions!

solve for m. m=-(4+m)+2

Answers

Answer:

m= -1

Step-by-step explanation:

Order summands

2

Apply negation to the value inside parentheses

3

Add the numbers

4

Add 

mm

 to both sides of the equation

5

Simplify

The Answer is m=-2.

Suppose the cost of producing tires, t, is defined by C(t) = -0.45+2 + 12+ 450. Determine
which of the following intervals has the greatest average rate of change for the cost to
produce tires.
A
Between 2 and 4 tires
B
Between 46 and 48 tires
C
Between 12 and 14 tires
D
Between 22 and 24 tires

Answers

Answer:

Option (A)

Step-by-step explanation:

Function to represent the cost of producing 't' tires is,

C(t) = -0.45t² + 12t + 450

Since average rate of change of the function in the interval (a, b) is given by,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

Following this rule,

Average rate of change in the interval (2, 4)

= [tex]\frac{C(4)-C(2)}{4-2}[/tex]

= [tex]\frac{490.8-472.2}{4-2}[/tex]

= 9.3

Average rate of change in the interval (46, 48)

= [tex]\frac{-10.8-49.8}{2}[/tex]

= -30.3

Average rate of change in the interval (12, 14)

= [tex]\frac{529.8-529.2}{2}[/tex]

= 0.3

Average rate of change in the interval (22, 24)

= [tex]\frac{478.8-496.2}{24-22}[/tex]

= --8.7

Average rate of change is greatest in the interval (2, 4)

Option (A) will be the answer.

Answer:

Average rate of change is greatest in the interval (46. 48)

Step-by-step explanation:

Average rate of change in the interval (2, 4)

= 9.3

Average rate of change in the interval (46, 48)

= -30.3

Average rate of change in the interval (12, 14)

= 0.3

Average rate of change in the interval (22, 24)

= --8.7

I did the algebra CFU and I got it correct so trust me ;)

EXPLAIN HOW YOU GOT 3 AND 4 WITH STEPS PLS ITS URGENT

Answers

Answer:

2. x=25°

3. x=15°

4. x=26°

Step-by-step explanation:

For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.

30+20+x=180                  [combine like terms]

50+x=180                         [subtract both sides by 50]

x=130

Now that we have the missing angle, we can use that to solve for x.

2x+130=180                     [subtract both sides by 130]

2x=50                               [divide both sides by 2]

x=25°

Now, we know that x=25°.

For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

8x+25+2x+5=180            [combine like terms]

10x+30=180                     [subtract both sides by 30]

10x=150                            [divide both sides by 10]

x=15°

Now, we know that x=15°.

For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

x+12+52+90=180             [combine like terms]

x+154=180                        [subtract both sides by 154]

x=26°

Now, we know that x=26°.

Answer:

3. x = 5        4. x = 26

Step-by-step explanation:

3.

(2x + 5)  + 8x + 25 = 180

10x +30 = 180

10x = 150

x = 15

4.

52 + 90 + x+12 = 180

52 + 90 + 12 = 142

x + 142 = 180

x = 180 - 154

x = 26

how to solve?
x(8-4x)÷3?​

Answers

X(8-4x)/3
Answer: 8x-4x^2/3

A population of 40 rats living near a restaurant dumpster is growing at a monthly rate of 50%
Write an equation for this scenario

Answers

[(40 ÷ .5) Y] + 40

Parentheses are rat growth

Brackets are rat growth by how many years or just exclude that and the brackets if you don't need to know how many years are there are

The 40 is the amount of rats already there

Growth of rats plus the amount already there.

I'm probably wrong lol

A number increased by 14?

Answers

Answer:

need the options

Step-by-step explanation:

Elsa is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 43 feet and its width is 36 feet. Suppose each can of wood stain covers 172 square feet. How many cans will she need to cover the court?

Answers

To find the area multiply length times width.
43 times 36 is 1548
Take 1548 divide by 172 to get the answer.
1548/172 equals 9

Answer:

Step-by-step explanation:

find the area which is length divided by width then divide by 172 which is what each can covers. So, 43x36 =1548 and 1548/172 equals 9. So 9 is the answer

How do I find the missing side with the Pythagorean theorem?

Answers

Answer:

The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two.

Step-by-step explanation:

which rational number is between -7.06 and -7.1?

Answers

Answer:

-7.07.

Step-by-step explanation:

because it's between those numbers

5) Carmen bought a movie for $18.60. The next day the movie was selling
for $20.30. What was the percent of change?

Answers

The answer is 1.7 cause $20.30 - $18.60 equals 1.7

Which number line shows the graph of 0.3

Answers

Answer:

im dumb im sorry but u can look it up

Step-by-step explanation:

HELLLPPPPPPPPP!!!!!!!!!!!!!!!!!!!! PLZZZZZZZ!!!!!!!!!!!!!!!!!!!!!!!! I BEG OF YOU! I NEED THE ANSWERS TO ALL OF THESE! ToT

Answers

Answer:

 6c²-11c (if u need it simplifed more lmk)   4z+3e+5  distributive 3rd one

Step-by-step explanation:

please give me brainliest

Answer:

1.) 6c^(2)-11c

Step-by-step explanation:

2.) 4z+3e+5

5.) x-3

I am not to sure on question 4

3 bananas cost 0.99 how much do 8 bananas cost

Answers

Answer:

$2.64

Step-by-step explanation:

find how much one banana is worth by dividing .99 by 3

.99/3 - .33 per banana.

Multiply 8 by the price per banana to get the total price.

8x.33 = 2.64

hope this helps

Answer:

$2.64

Step-by-step explanation:

.99/3 = .33

.33*8 = 2.64

formula of trigonometric ratios​

Answers

Answer:

Basic Formulas

sin θ = Opposite Side/Hypotenuse.

cos θ = Adjacent Side/Hypotenuse.

tan θ = Opposite Side/Adjacent Side.

sec θ = Hypotenuse/Adjacent Side.

cosec θ = Hypotenuse/Opposite Side.

cot θ = Adjacent Side/Opposite side.

Hope this helps :)

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Formula for trignometric ratios.

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

The trignometric ratios are [tex]\downarrow[/tex][tex]\downarrow[/tex]

[tex]\begin{gathered}\begin{gathered}\begin{array}{||c|c|c||} \\ \rm sin \: A & \dfrac{\sf\:Opposite\: side\: of\: angle\: A }{\sf\:Hypotenuse \: } & \dfrac{\sf\:BC}{\sf\:AC} \\ \\ \rm cos \: A & \dfrac{ \sf\: Adjacent \:side \:of\: angle \:A }{\sf\: Hypotenuse} & \dfrac{\sf\: AB}{ \sf\: AC} \\ \\ \rm tan A & \dfrac{\sf\: Opposite \:side \:of \:angle\: A}{ \sf\: Adjacent \:side \:of \:angle \:A } & \dfrac{\sf\:BC}{ \sf\: AB}\\ \\ \rm cosec A & \dfrac{\sf\: Hypotenuse}{\sf\: Opposite\: side \:of\: angle\: A}& \dfrac{\sf\:AC}{ \sf\:BC } \\ \\ \rm sec A & \dfrac{\sf\: Hypotenuse}{ \sf\: Adjacent \:side\: of\: angle \:A}& \dfrac{\sf\:AC}{\sf\:AB}\\ \\ \rm cot A & \dfrac{\sf\: Adjacent \:side\: of \:angle \:A}{\sf\: Opposite\: side \:of\: angle\: A} & \dfrac{\sf\:AB}{ \sf\: BC} \end{array}\end{gathered}\end{gathered} \\ \\ - \bf \: Lucazz \: (brainly.com)[/tex]

~~~

Refer to the picture for better understanding.

I need help ASAP please

Answers

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

What is 20 x 20 10 points it know

Answers

Answer:

400

Step-by-step explanation:

20*20 = 400

Answer:

20 x 20 is 400

Step-by-step explanation:

Pls help due tonight, I just found the assignment !
Will give brainly for the correct answer

Answers

Answer:

1) slope is -1/3

2) slope is 3 or 3/1

3)slope is -3/2

4)slope is3/2

5)slope is 5/3

6)slope is 7/3

Step-by-step explanation:

Solve 9.1r - 4. lr - 14= -34

Answers

Answer:

Step-by-step explanations:

Must help please anyone .

Answers

The side lines all line up so they are congruent

Is -3 greater or less than -5

Answers

Answer:

yes because its closer to not being negitibve

Step-by-step explanation:

Answer:

Greater!

Step-by-step explanation:

-3 is closer to 0 than -5 is.

3) Amani spent half of her weekly allowance on the movies. She made an extra 30 dollars
babysitting. At the end of the week, Amani had a total of 45 dollars left. How much is
Amani's weekly allowance?

Answers

Answer:

23

Step-by-step explanation:

answer: the is 23.

can anyone help with this please? 20 points

Answers

Answer:

8

Step-by-step explanation:

2^2=4

so 2^3=8

m BXA = 30° 20', m CXB = 40° 35'
m CXA
°
'

Answers

Answer:

Please make me brain list

Step-by-step explanation:

Which of the following is equivalent to the inequality shown below?

4x + 0.9 ≥ 0.1


4x + 9 ≥ 1
4x + 9 ≥ 1

40x + 9 ≥ 1
40x + 9 ≥ 1

40x + 90 ≥ 10
40x + 90 ≥ 10

40x + 90 ≥ 1

Answers

Answer:

[tex]4x + 0.9 \geq 0.1[/tex] is equivalent to the inequality [tex]40x+9 \geq 1[/tex]

Step-by-step explanation:

Given inequality : [tex]4x + 0.9 \geq 0.1[/tex]

We are supposed to find Which of the following is equivalent to the inequality

[tex]4x + 0.9 \geq 0.1[/tex]

[tex]\Rightarrow 4x+\frac{9}{10} \geq \frac{1}{10}[/tex]

Multiply both sides by 10

[tex]\Rightarrow 4(10)x+\frac{9}{10}(10) \geq \frac{1}{10}(10)[/tex]

[tex]\Rightarrow 40x+9 \geq 1[/tex]

[tex]4x + 0.9 \geq 0.1[/tex] is equivalent to the inequality [tex]40x+9 \geq 1[/tex]

So, Option B is true

B) [tex]40x+9 \geq 1[/tex]

What is X if f(x) = -15?

Answers

Answer:

it 4 dude im pretty sure

Step-by-step explanation:

A librarian wants to spend no more than $800 on some new desks and chairs for the library. The librarian decides to spend $320 on desks. If each chair costs $24, what is the maximum number of chairs the librarian can buy for the library and stay within the budget?

Answers

Answer:

20 chairs

Step-by-step explanation:

Since we are given the amount total budget and the total amount for the desks then the only variable missing is the maximum amount of chairs. This can be solved with the following equation in which s represents the number of chairs, and we simply solve for s.

800 = 320 + 24s  ... subtract both sides by 300

500 = 24s ... divide both sides by 24

20.83 = s

Now we see that the maximum number of chairs that the librarian can buy is 20 because 21 would make her go over the budget and you cannot have 0.83 of a chair.

Answer:

The librarian can buy a maximum of 20 chairs to stay within the budget.

Step-by-step explanation:

The total budget is:

T = 800

From that budget, he spends 320 on desks (D), so he has the remaining amount to buy chairs (C):

[tex] C = 800 - 320 = 480 [/tex]

Since each chair costs 24, and he has 480 he can buy the following number of chairs:

[tex] n = \frac{C}{24} = \frac{480}{24} = 20 [/tex]

Therefore, the librarian can buy a maximum of 20 chairs to stay within the budget.

I hope it helps you!  

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