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The cost of one sandwich is $3.90

The cost of one deknk is $1.50

hopefully this is correct

The system of equations are

The cost of one sandwich x = $ 3.90

The cost of one drink y = $ 1.50

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of one sandwich be x

Let the cost of one drink be y

Now , the equation will be

A customer ordered three sandwiches and two drinks for $14.70

So , 3x + 2y = 14.70   be equation (1)

And , Another customer bought two sandwiches and four drinks for $13.80

So , 2x + 4y = 13.80   be equation (2)

On simplifying the equations , we get

Multiply equation (1) by 2 , we get

6x + 8y = 29.4   be equation (3)

Subtracting equation (2) from equation (3) , we get

4x = 15.6

Divide by 4 on both sides of the equation , we get

x = $ 3.90

So , the cost of one sandwich is $ 3.90

And ,

Substituting the value of x in equation (1) , we get

3x + 2y = 14.70

3 ( 3.90 ) + 2y = 14.70

11.70 + 2y = 14.70

Subtracting 11.70 on both sides of the equation , we get

2y = 3

Divide by 2 on both sides of the equation , we get

y = $ 1.50

So , the cost of one drink is $ 1.50

Hence , the cost of one sandwich and one drink is $ 3.90 and $ 1.50 respectively

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Answer:

112

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

8 × (3v - 4)

v = 6

Step 2: Evaluate

Answer:

y = 112

Step-by-step explanation:

This is solved by first writing out the equation correctly

[tex]8 * (3*6-4)[/tex]

we solve whats inside the parenthesis first

this equals 14

now 14 times 8 is 112

Answer:

x≈11.8

Step-by-step explanation:

Since this is a right triangle, we can use cosine to find the length of CD.

First, set up an equation, then solve:

cos(49°)=18/x

x=18/cos(49°)

x≈ 11.80906252

rounded to the nearest tenth of a foot:

x≈11.8

Answer:

Step-by-step explanation:

Remark

The adjacent side is one of the two sides making up the acute angle in a right triangle. The second side is the Hypotenuse.

Givens

Cos(C) = side Adjacent / Hypotenuse

Cos(49) = 0.6561

Side Adjacent = 18

Solution

Cos(C) = side adjacent / Hypotenuse       Multiply both sides by the hypotenuse

Hypotenuse * Cos(C) = Side Adjacent     Divide by Cos(C)

Hypotenuse = Side Adjacent /  Cos(C)

Hypotenuse = 18 / Cos(C)

Hypotenuse = 18 / 0.6561

Hypotenuse =      27.437                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              

Answer:

to answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:

35/50 >= 3/4

that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:

35/50 >= 3/4

7/10 >= 3/4

now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:

7/10 >= 3/4

(2/2)(7/10) >= (5/5)(3/4)

2*7/2*10 >= 5*3/5*4

14/20 >= 15/20

we can see that the inequality does not hold, so,

35/50 >= 3/4

does not hold either, therefore the Constitution cannot be ammended

Step-by-step explanation:

Answer:

It is Option #1

Answer:

4 (x - 5)

4x - 20

Hope that helps!

-Sabrina

Step-by-step explanation:

Answer:

5[tex]t[/tex] + 40 ≤ 500

Step-by-step explanation:

Jason can rap 5 words per second

5t

He can already rap 40 words into the song

40

There are 500 words to the whole song

500

5[tex]t[/tex] + 40 ≤ 500

The inequality to determine how many more seconds t he will rap to complete the song if the total song, 5t+ 40 ≥500.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Jason can rap 5 words per second

let 't' be the time Jason rap then number of words he rap after t seconds 5t.

and, He can already rap 40 words into the song

Also, the whole sing contains 500  words.

Then, the inequality is

5t+ 40 ≥500.

Learn more about Inequality here:

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Answer:

y=2x-1

Step-by-step explanation:

Answer:

y=2x-1

Step-by-step explanation:

Every 1 x the line goes across it goes up 2 so x=2.  You will also notice that the line passes through -1 on the y so y=2x-1/  BTW great graphing calculator to check lines and equations

desmos calculator

Answer: 63 total gummy bears

Step-by-step explanation: 37 - 16= 21. 21 is the one third she ate. So 21 x 3 give you the original amount of gummy bears which is 63

Equation= 37 - 16 x 3= 63

Let that be x

[tex]\\ \rm\rightarrowtail x/3+16=37[/tex]

[tex]\\ \rm\rightarrowtail x/3=37-16[/tex]

[tex]\\ \rm\rightarrowtail x/3=21[/tex]

[tex]\\ \rm\rightarrowtail x=21(3)[/tex]

[tex]\\ \rm\rightarrowtail x=63[/tex]

Answer:

Where are the following expressions?

Step-by-step explanation:

Answer: The answer is 1320 hope this is right.

Step-by-step explanation:

Answer:

Step-by-step explanation:

9/81= kg per book= 1/9 kg

88 books weigh 1/9*88=88/9 kg = 9.77 kg

Answer:

9.77777777768kg

Step-by-step explanation:

81 books= 9kg

so, one book= 9/81= 0.11111111111111

Therefore, 88 books(88x0.1111111)

Answer: 9.77777777768kg

Answer:

$197.31

Step-by-step explanation:

Given data

Principal= $175

Rate= 4.25%

TIme= 3 years

The expression for the simple interest is given as

A=P(1+rt)

substitute

A= 175(1+0.0425*3)

A= 175(1+0.1275)

A= 175(1.1275)

A= $197.31

Hence the balance will be $197.31

4^3

you can write it like 4 × 4 × 4

you can also call it "Four to the Third power". or "Four cubed".

Answer:

B I believe I'm a little rusty on math

Step-by-step explanation:

Answer:

Two Solution

Step-by-step explanation:

bc im right

Answer:

4y^2 - 9x^2 = -36

Step-by-step explanation:

x = 2 sec t

y = 3 tan t

x^2 = 4 sec^2 t

y^2 = 9 tan^2 t

Now sec^2t = 1 + tan^2 t so we have:

4(1 + tan^2 t) + 9 tan^2 t = x^2 + y^2

4 + 13 tan^2 t = x^2 + y^2

13 tan^2 t = x^2 + y^2/ - 4

tan^2 t = x^2/13 + y^2/13 - 4/13

But , from the second equation tan t =  y/3 so tan^2 t = y^2/9, so:

y^2/9 =  x^2/13 + y^2/13 - 4/13

LCM of 9 and 13 is 117 so multiply thru by 117:

13y^2 = 9y^2 + 9x^2- 36

4y^2 - 9x^2 = -36

Answer:

x=6

Step-by-step explanation:

The two triangles shown are similar (AAA: they share the angle on the right and the two other angles are corresponding and therefore equal).

Since, they're similar, the sides are in ratio to eachother:

[tex]\frac{x+(x+3)}{8+12} = \frac{x+3}{12}[/tex]

12(2x+3)=20(x+3)

24x+36=20x+60

4x=24

x=6

Answer:

3.75

Step-by-step explanation:

Divide 2.5 by 2 to find out what 1/3 would be, then multiply that by 3 to get your answer - 3.75 pounds of chicken are called for

Hopefully this helps- let me know if you have any questions

Answer:

(2×4×4)+(3×2×4)

56 is the answer

Answer:

3 11/12 in.

Step-by-step explanation:

The radius is simply half of the diameter.

7 5/6  divide by 2 =  3 11/12

Answer:

The answer would be 2/5

Step-by-step explanation:

Fill in 2 as numerator then 5 as denominator.

(You welcome)

Answer:

14t^8

Step-by-step explanation:

Answer:

14t^8

Step-by-step explanation:

Answer:  3x -- 5 x + 9

Step-by-step explanation: = x (3--1) + (--5 + 9)

                                             = x (2) + 4

                                             = 2x + 4

                                  putting x =3

                                           = 2 (3) + 4

                                           = 6 + 4

                                           = 10

9514 1404 393

Answer:

   19x +15

Step-by-step explanation:

5(x+2x)+(3*5)+(4)(x)

= 5(3x) +15 +4x

= 15x +4x +15

= 19x +15

Answer:

7 pencils

8 sweet tarts

Step-by-step explanation:

7*0.35=2.45

8*0.10=0.80

2.45+0.80=3.25

7+8=15

Answer:

50 cm² and 56 cm²

Step-by-step explanation:

The area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the length of the diagonals )

(2)

A = [tex]\frac{1}{2}[/tex] × (8 + 2) × (5 + 5)

   = 0.5 × 10 × 10

   = 5 × 10

    = 50 cm²

(3)

A = [tex]\frac{1}{2}[/tex] × (12 + 2) × (4 + 4)

   = 0.5 × 14 × 8

   = 7 × 8

    = 56 cm²

Answer:

110

Step-by-step explanation:

25+25+30+30 = 110

hope this helps

Answer:

276 students

Step-by-step explanation:

36/60=0.6

Therefore, 60% of students in the random survey are planning to vote for her. Using that 60%, we can predict how many students in all will vote for her.

460(0.6)=276

That means 276 students will vote for her.

Answer:

[tex]40\frac{5}{8}mm^2[/tex]

Step-by-step explanation:

To find the area of a triangle, one must use the formula,

[tex]\frac{base*height}{2}[/tex]

It is given that

- base = [tex]9\frac{3}{4}[/tex]

-height = [tex]8\frac{1}{3}[/tex]

Substitute in the values and solve;

[tex]\frac{9\frac{3}{4}*8\frac{1}{3}}{2}[/tex]

In order to multiply the two fractions, one must convert them from mixed number form to improper fraction form. This can be done by multiplying the denominator (the number under the fraction bar), by the "number" part of the mixed number, and then adding the result to the numerator (the number over the fraction bar;

- base = [tex]9\frac{3}{4}=\frac{(9*4)+3}{4}=\frac{36+3}{4}=\frac{39}{4}[/tex]

- height = [tex]8\frac{1}{3}=\frac{(8*3)+1}{3}=\frac{24+1}{3}=\frac{25}{3}[/tex]

Substitute,

[tex]\frac{\frac{39}{4}*\frac{25}{3}}{2}[/tex]

Cross simplify,

[tex]\frac{\frac{325}{4}}{2}[/tex]

Further simplify,

[tex]\frac{325}{4}*\frac{1}{2}\\\\= \frac{325}{8}[/tex]

Convert back to a mixed number divide the numerator by the denominator, write the whole-number result as the number outside of the fraction, and the remainder as the numerator of the fraction,

[tex]40\frac{5}{8}[/tex]