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

Answers

Answer 1

Answer:

No, because their respective prices are $0.75 and $2.25

Step-by-step explanation:

Let's assume that the price of each pretzel is x and the price of each soda is y

3x + 4y = 11.25_____ equation 1

5x + 2y = 8.25_____ equation 2

Multiply equation 2 by the figure 2 so as to have both equation sharing the same coefficient of y

10x + 4y = 16.5____ equation 1

3x + 4y = 11.25____ equation 2

Now subtract equation 2 from 1

7x = 5.25

X = 5.25/7

X = 0.75

Now substitute x = 0.75 in equation 1

10x + 4y = 16.5

10(0.75) + 4y = 16.5

7.5 + 4y = 16.5

4y = 16.5 - 7.5

4y = 9

Y = 2.25

Therefore,the cost of each pretzel is $0.75 while that of soda is $2.25


Related Questions

Some friends went hiking. The very top of a trail was a total of 26 miles from town, where the friends began their journey. They drove 8 more miles than they walked on the trail. How far did the friends walk? How far did the friends drive?
Please give steps.

Answers

they walked 52 and drove 16

26x2=52 and 8x2=16

16 1/4 divided by 3.25
Someone pls help

Answers

Answer:

20

Step-by-step explanation:

16 1/4 ÷ 3.25

16×4=64+1=65

65/3.25=20

Answer:

The answer is 5.

Step-by-step explanation:

you do this by converting the decimal 3.25 into a fraction. This would equal   3 1/4 (simplified) now since that both fractions have the same denominator we can solve by dividing the fractions.  

Calculate the volume.
Plz hurry!! 40 points in it!!

Answers

Answer:

tell me the decimals number form

Step-by-step explanation:

solve for x: 3^(x+3)=9

Answers

Answer:

-1

Step-by-step explanation:

To solve equations like this we need to use the following rule

[tex]x^y=z\\y=log_xz[/tex]

We have

[tex]3^{x+3}=9\\x+3=log_39\\x+3=2\\x= -1[/tex]

Find the measure of CP

Answers

Given:

A figure ABCP.

To find:

The measure of CP.

Solution:

In triangles ABP and CBP,

[tex]\angle PAB\cong \angle PCB[/tex]            (Given right angles)

[tex]\angle ABP\cong \angle CBP[/tex]            (Given)

[tex]BP=BP[/tex]            (Common side)

Now,

[tex]\Delta ABP\cong \Delta CBP[/tex]        (By AAS property of congruence)

We know that the corresponding parts of congruent triangles are congruent.

[tex]AP=CP[/tex]

[tex]8=CP[/tex]

Therefore, the measure of CP is 8 units.

A,B,C, or D?

________

Answers

Answer: It is

D. Blue

!

Solve the system of
equation using the
elimination method.
2x + y = 4
x - y = 2

Answers

Answer:

x=2

y=0

Step-by-step explanation:

I use symbolab it helps

How many terms in this question?​

Answers

Answer:

2?

Step-by-step explanation:

a and b are both terms

elimination method
x-5=-y
3x-10=2y​

Answers

Answer:

(4,1)

Step-by-step explanation:

Multiply the first equation by -3

(x-5=-y)*-3 = -3x+15=3y

Then combine like terms with the new equation and the second equation

(-3x+15=3y) + (3x-10=2y) = 5=5y

Divide 5 by both sides

1=y

Plug in 1 for y in an equation. Doesn’t matter which one and solve

x-5=-(1)

Distribute the negative sign to the 1

x-5=-1

Add 5 to both sides

x=4


X-5= -y
-X+5=y
-4+5=y
1=y

3X-10=2(-2+5)
3X-10= -2X+10
3X+2X=10+10
5x=20
X=4

In order to raise money for road repairs, the bridge toll is going to increase 130% next month. If the bridge toll is currently $2.50, how much will the toll be after the increase?

A.$0.75

B. $3.25

C. $4.80

D. $5.75

Answers

B, just multiply 130% by 2.50

I need help with prime factors

Answers

Answer: the answer is 8 and 3

Step-by-step explanation:

factors are numbers that can be multipiled together to find a whole number. since 8 and 3 are being multiplied together to get 24, 8 and 3 are factors of 24.

I hope this helps ! good luck

Can someone help me Find the value of X

Answers

Answer: x=4

Step-by-step explanation:

similar triangle so corresponding parts are similar

[tex]\frac{5}{10} = \frac{2x-1}{14}[/tex]

cross multiply

70 = 20x-10

80 = 20x

x = 4


HELP!!
Find the distance between each pair of points. Round your answer to the nearest 10th if necessary.

Answers

Answer:

The slope is 2/1 or 2, my amigo

find multiplicative inverse of -13​

Answers

Answer:

asdaqwdawdasd

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiplicative inverse a number 'n' = [tex]\frac{1}{n}[/tex]

Multiplicative inverse of (-13)  =[tex]\frac{-1}{13}[/tex]

if <1 and <2 are vertical angels and m<1 = 180, find <2

Answers

Answer: i would say 280.

Step-by-step explanation: because if you add 180 plus another set of it it would make 280

Answer:

180

Step-by-step explanation:

Since they are vertical angles, they are congruent to each other

m<1 = m<2

27 points pls help

at what value of x does the graph of the following function F(x) have a vertical asymptote?

Answers

Answer:

The answer is C again, its zero


Nyasia had 16 M&M's on her desk. She had 2 groups of M&M's with x
amount in each, and another group with 4 M&M's. How many M&M's were
in the identical group?*

Answers

Answer:

12

Step-by-step explanation:

if one group has 4,and there are a total of 16,

16-4=12.

In each identical group, there are 6 each.

Which two operations are needed to write the expression that represents "eight more than the product of a number and two"? O multiplication and subtraction O division and subtraction O multiplication and addition O division and addition ​

Answers

Answer:

O multiplication and addition

Step-by-step explanation:

let no be n

"eight more than the product of a number and two=2n+8

helppppppppppppppppppppppp

Answers

Answer:

sorry for this

I m only collecting points

Answer:

T4 - 8 or 4t - 8

Step-by-step explanation:

I don’t know why ur answer is wrong but maybe try t4 - 8 or maybe if it’s the answer try 4t - 8

Hi

Plz it’s due in 5 min......

Answers

Answer is A because it’s just is

Answer: A 128 square sm

Step-by-step explanation:

So the wedge consists of a square and a triangle. We need to find the area of both using 2 formulas:

A=1/2bh for triangle

A= l*w for square

Starting with the square 8*10=80 so the area of the square is 80 square cm

Now the triangle is 12*8/2 so = 48 square cm

So add the two to get 48+80= 128 Square centimeters which is choice A

Please help me ASAP please

Answers

Answer:

the bottom is kinda blurry

Find the quotient: 7465 ÷ 5

Answers

Answer:

1,493

Step-by-step explanation:

7645/5=1493

Drag a graph to each category based on the slope of the graph.

Answers

Answer:

hope this helps!!...the last one is the last box that's at the top

Step-by-step explanation:

The slope of a graph is the rate of change of the graph

Graphs 3 has a slope greater than 1Graph 2 has a slope less than 0Graph 4 has a slope equal to 0

When the y values of a graph with the x values, the graph will have a positive slope.

From the figures, graph 3 follows the above highlight.

Hence, graph 3 has a slope that is greater than 1

When the y values of a graph decreases, as the x values increases, the graph will have a negative slope.

From the figures, graph 2 follow the above highlight.

Hence, graph 2 has a slope that is less than 0

A graph with a horizontal line will have its slope to be 0.

Hence, graph 4 has a slope equal to 0

Read more about slopes at:

https://brainly.com/question/14026291

help vvvvvvvvvvvvvvvvvvv

Answers

i think C would be it

In triangle ABC, the sum of the measures of angle A and angle B is 57°. What is the measure of and C?

Answers

Answer:

I think it's 123 if not sorry

Step-by-step explanation:

all you need to do is 180 - 57 to get your answer

the diameter of a circle is 14m. find the circumference to the nearest tenth​

Answers

Answer:

44

Step By Step Explanation:

Formula for circumference - 2πr

1. Find raduis: 14/2=7 - Radius=7

2. Plugin number and solve - 2π(7)=43.9822971503

3. Round 43.9822971503 to 44.

1. What type of association does this
graph have?
A:positive
B:negative
C:none
D:all of the above

Answers

Answer:

C

Step-by-step explanation:

The graph have negative type of association.  the variables tend to increase as the other variable decreases.

What is the association of a graph?A positive association exists when one variable increases as the other variable increases. A negative association exists when one variable increases while the other variable decreases. If there is no relationship between the variables, the scatterplot points have no association.The association is linear when a straight line describes the relationship between the variables. The relationship is monotonic when it is described by a nonlinear function that is constantly increasing or decreasing. Other types of relationships could be nonlinear or non-monotonic.The appropriate statistical measures and tests of association are determined by the type of relationship.A bivariate normal density ellipse summarises the correlation between variables if the relationship is linear. The greater the correlation between the variables, the narrower the ellipse.

To learn more about graph association  refer :

https://brainly.com/question/11420537

#SPJ2

Using the information provided, identify the
domain and range.

I really need help I don’t understand this

Answers

Answer:

Domain: x>=-5

Range: y>=-6

Step-by-step explanation:

pls answer my question please correctly

Answers

Answer:

13/10 5/3 40-78 C A

Step-by-step explanation:

What is the area of the quarter circle ? *
20 point
3f+

Answers

7.065 sq ft

Step-by-step explanation:

A = pi*r^2

= 3.14*3^2

= 28.26

Next multiple by 1/4

28.26*0.25= 7.065sq ft

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