Samantha went to a concession stand and bought three pretzels and four sodas and paid a total of $11.25 for them. Raza went to the same stand and bought five pretzels and two sodas and paid a total of $8.25.
(a) Could pretzels have cost \$1.75 each and sodas $1.50 each ? How can you evaluate based on the information given ?
(b) Letting x equal the unit cost of a pretzel and letting y equal the unit cost of a soda, write a system of equations that models the information given .
(c) Solve the system of equations using the elimination method or a matrix,
(d) Leah went to the same concession stand and bought two sodas, how many pretzels would she need to buy so that she spent the same amount on both

Answer:

34

Step-by-step explanation:

Answer:

32 A becuz ur h a y and u are smart

Answer:

First, 3x11 equals 33. Then 4x12 equals 48, so the area would be 4/12

Step-by-step explanation:

Answer:The area of the walkway around is 26 x + 16 as the sum of two terms

Step-by-step explanation:

A rectangular garden has a walkway around it

1. The area of the garden is 4(4.5 x + 1.5)

2. The combined area of the garden and the walkway is 5.5(8 x + 4)

We need to find the area of the the walkway

To find the area of the walkway by subtracting the area of the

rectangle from the combined area

∵ The combined area = 5.5(8 x + 4) ⇒ simplify it

∴ The combined area = 5.5(8 x) + 5.5(4)

∴ The combined area = 44 x + 22

∵ The area of the garden = 4(4.5 x + 1.5) ⇒ simplify it

∴ The area of the garden = 4(4.5 x) + 4(1.5)

∴ The area of the garden = 18 x + 6

Now subtract the area of the garden from the combined area

∵ Area of the walkway = (44 x + 22) - (18 x + 6)

∴ Area of the walkway = 44x + 22 - 18 x - 6

- Add like terms

∴ Area of the walkway = (44 x - 18 x) + (22 - 6)

∴ Area of the walkway = 26 x + 16

The area of the walkway around is 26 x + 16 as the sum of two terms

Step-by-step explanation:

Answer:

the slope is 3

Step-by-step explanation:

Answer:

141 square incges

Step-by-step explanation:

Answer:

The answer is 141 sq inch.

Am smort :D

Answer:

la moda es el jean ya que es lo que mas se repite, osea lo que prefieren

de los datos podemos deducir que se encuestaron a 115 mujeres de las cuales el 17% prefiere dril, el 4% prefiere algodon, el 13% prefiere pana, el 26% prefiere tela y por ultimo el 39% prefiere el jean

para un total de 100%Step-by-step explanation:

Answer:

0.45

Step-by-step explanation:

easy

this is karma for spamming random stuff on peoples questions if you want people to help you dont go trying to get free points by commenting jr3nfrhgvberhvrucv

Answer:

1, 8 and -3

Explanation:

x is bigger than or equal to -3. Any positive number is bigger than a negative number.

Hope that helps!!

Answer:

1, 8, -3

or

A, B, D

Step-by-step explanation:

We need to figure out which numbers are greater than or equal to -3

1 is greater than -3

8 is greater than -3

-4 is smaller than -3

-3 is equal to -3

Therefore, the applicable answers in this equation are 1, 8, -3

Answer:

C.

Step-by-step explanation:

A. 5/8=0.625

B. 4/16=0.25

C. 15/6=2.5

D. 10/12=0.83

Answer:

C. x = 3.71

Step-by-step explanation:

4 + 9(ln x) = 15.8

Subtract 4 from both sides.

9(ln x) = 11.8

Divide both sides by 9.

ln x = 11.8/9

x = e^(11.8/9)

x = 3.71

4 + 9 • In x = 15.8

x= 3.71

Answer:

A

Step-by-step explanation:

[tex]a^x = b \\log_a(b) = x[/tex]

your answer would be 33.

step 1

2(+14)−1(2−5)

2+28−1(2−5)

step 2 distribute

2+28−1(2−5)

2+28−2+5

step 3 then add the numbers

2+28−2+5

2+33−2

combine

2+33−2

ANSWER IS

33

Answer:

Step-by-step explanation

Answer:

27.4

Step-by-step explanation:

Use your calculator for this.

Remember, use SOH CAH TOA

We have an opposite (O) and an adjacent side (A), so we use SINE

sin(41)=18/X......following?

Now, solve for X by multiplying both sides by X......sin(41)(X)=18

Then, divide both sides by sin(41).

Type into your calculator: 18/sin(41), and you'll get 27.44. Round to the nearest tenth, or 27.4!

Answer:

x = 11.8

Step-by-step explanation:

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

⇒ sine 41 = [tex]\frac{18}{x}[/tex]

⇒ 0.656 = [tex]\frac{18}{x}[/tex]

multiply 18 on both sides:

⇒ 0.656 x 18 = [tex]\frac{18}{x}[/tex] x 18

⇒ 11.808 = x

round to the nearest tenth:

⇒ 11.808 = 11.8

Answer:

f(x)^-1=x-2/10

Step-by-step explanation:

Answer:

So they just want you to solve the equation if x= -4

d(-4) = -(-4) + -4

y = 4 - 4

The solution would be 0.

Answer:  4955.30

Step-by-step explanation:

F = P (1+i)^n

F = $4000 (1+.055)^4

F = $4955.2986

Which will be 4955.30

Answer:

A. $4955.30

Step-by-step explanation:

Look at the equation

A(t)= P(1+r)^t

In this equation,

A(t) is your amount after a period of time,

P is the initial balance stated in the question (4000)

r is the rate (must be converted to a decimal) as stated in the question (0.055)

t represents the amount of time that has passed (4 years)

Whenever you plug this into the equation, you get

A(t) = 4000(1.055)^4 and this can be plugged into a calculator to get your answer which will be

4955.29 (round up to .3) and your final answer is A. 4995.30

In order to convert from percent to decimal you just need to move the decimal to the left two places

5.5 becomes 0.055 after the decimal is shifted

Answer: 130.5

Step-by-step explanation:

108.75/15  = 7.25

18 x 7.25 = 130.5

Answer: Yup

Step-by-step explanation

Good job!

Answer:

add me

Step-by-step explanation:

Answer:

PQ = 35 km

Step-by-step explanation:

Here, we want to get the length of PQ

Let PQ = x

PR is 10 km longer than PQ

PR = 10 + x

QR = 2 * PR

QR = 2(10 + x)

Adding all gives 170;

x + 10 + x + 2(10 + x) = 170

2x + 10 + 20 + 2x = 170

4x + 30 = 170

4x = 170-30

4x = 140

x = 140/4

x = 35 km

PQ = 35 km

The length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.

Length of line segment (say YX) is the distance of both the ends of it (y to x).

Towns P, Q and R are connected by roads PQ ,PR and QR.

The line segment PR is 10 km longer than PQ. Therefore,

[tex]PR=PQ+10\\PQ=PR-10[/tex]            ......1

The line segment QR is twice as long as the line segment PR. Therefore,

[tex]QR=2PR[/tex]                 .....2

The total length of three roads is 170 km. Therefore,

[tex]PQ+PR+QR=170[/tex]

Put the value of PR and QR from equation 1 and 2 in the above equation as,

[tex](PR-10)+PR+(2PR)=170\\PR-10+PR+2PR=170\\4PR=170+10\\PR=\dfrac{180}{4}\\PR=45\rm km[/tex]

As the line segment PR is 10 km longer than PQ and length of PR is 45 km. Therefore,

[tex]PR=45-10\\PR=35\rm km[/tex]

Hence, the length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.

Learn more about the line segment here;

https://brainly.com/question/2437195

Answer:

7

Step-by-step explanation:

correct with acellus

The expected value of a random variable with the following probability distribution will be 7.

Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.

Thus, if the random variable is X, and its probability mass function is given being  f(x) = P(X = x), then we have:

[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]

[tex]\rm E(X)=2 \times \frac{1}{36} +3 \times \frac{1}{28} +4 \times \frac{1}{12} +5 \times \frac{1}{9} +6 \times \frac{5}{36} + 7 \times \frac{1}{6} +8 \times \frac{5}{36}+9 \times \frac{1}{9} +10 \times \frac{1}{12} +11 \times \frac{1}{18} +12 \times \frac{1}{36} \\\\ E(X)=7[/tex]

Hence the expected value of a random variable will be 7.

To learn more about the expected value refer to the link:

https://brainly.com/question/4515179

☁️ y = -1 ☁️

Hope it helps.

Explanation: Have a nice day!~ ￣▽￣❤️