The total cost of 4 sodas and 6 patties is $840. If a customer buys 5 sodas and 5 patties, the total cost is $800. What is the cost of 1 soda and 1 patty?​

Answers

Answer 1

Answer:

S = $76 and P = $236

Step-by-step explanation:

Let the sodas be S and the patties P. So

4S + 6P = 840  and 5S + 5P = 800

By substitution method we will have the solution

5S + 5P = 800

5S = 800 - 5P

S = 800 - 5P

          5

We'll sustitute S with this equation

4S + 6P = 840

[tex]4(\frac{800 - 5P}{5})[/tex] + 6P = 80

4(800 - 5P) + 6P(5) = 840

3200 - 20P + 30P = 840

-20P + 30P = 840 - 3200

10P = -2360

P = -2360

        10

P = -236

Since the cost of the patty can't be negative, P = $236

Now that we know the cost of the patty, we can calculate the cost of the soda

S = 800 - 5P

          5

S = 800 - 5(236)

             5

S = 800 - 1180

             5

S = -380

        5

S = -76

Here S can't be negative, so S = $76


Related Questions

last question pls help :))

Answers

Answer:

4/5

Step-by-step explanation:

What type of triangle has only two congruent sides?

Group of answer choices

Scalene triangle

Equilateral triangle

Isosceles triangle

Equiangular triangle

Answers

isosceles triangle

hope this helps

27% of the high school graduating class of 2010 went on to a 2-year college, 41% went on to a 4-year college, and the remaining 32% did not go on to college. Of these who went on to a 2-year college, 52% worked at the same time, 32% of these going on to a 4-year college worked, and 78% of those who did not go on to college worked.
What percentage of those working had not gone on to college?

Answers

Step-by-step explanation:

so, let's find the % of graduates, who worked after graduation.

there are 52% of 27% in 2-year college.

there are 32% of 41% in 4-year college.

there are 78% of 32% in no college.

52% of 27% is 27×0.52 = 14.04%

32% of 41% is 41×0.32 = 13.12%

78% of 32% is 32×0.78 = 24.96%

so, in total, 24.96+13.12+14.04 = 52.12% of the high school graduates worked after graduation.

from all these (52.12%) working graduates,

24.96/52.12×100 % = 47.8894858...% ≈ 47.89%

did not go to a college

Help with number 11-please

Answers

Step-by-step explanation:

11.

-165 + 3217 + 65

what I see right away is the equality of the 2 digit positions between -165 and +65. I can immediately combine them to -100.

and then the rest is easy : 3217 - 100 = 3117.

173 + (-43) + (-97)

I see that -43 and -97 combine nicely too: I can take the -3 of -43 and add this to -97, which gives me -100, while it leaves -40 on the former -43 side. it is now easy to combine these to -140.

and 173 - 140 is again easy to calculate : 33


What is the solution to this equation? Round your answer to two decimal
places.
25x= 59
A. 1.18
B. 1.84
ОО O
C. 0.89
D. 1.26

Answers

Answer:

See attachment. Also, I got 2.36 as the answer with my calculator despite that not being on the multiple choice list

divide 2.36 by 2 and you get 1.18

You are calculating how many seats there are at Wrigley Field in Chicago, Illinois. You count that there are 1,487 rows. Each row has 28 seats.

How many seats are there in the whole field?

Answers

In order to find the full amount of availbie seats we must multiple our rows and columns. This means to find our answer we must solve 1,487 x 28. This gives us the numbers 41,636.

THIS MEANS THAT 41,636 seats are avaliable in the Wrigley Field.

I hope this helps ! and good luck <3

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?

y < Two-thirdsx + 3
y > Three-halvesx + 3
y > Two-thirdsx + 3
y < Three-halvesx + 3

Answers

Answer:

  (c)  y > 2/3x + 3

Step-by-step explanation:

Shading to the left of a line with positive slope is the same as shading above that line. That, and the fact that the line is dashed, means the inequality will be of the form ...

  y > ( ) . . . . . . the solution set is y-values greater than those on the line

__

There are two choices in this form. You can see which one will include the point (-3, 1) on the boundary line:

y > 3/2x +3

  y > (3/2)(-3) +3 = -3/2 . . . . . not 1. This is not the correct inequality

y > 2/3x +3

  y > (2/3)(-3) +3 = 1 . . . . . . . the inequality we're looking for

Answer:

its C (on edge 2021)

y > 2/3x + 3Step-by-step explanation:

i took the test

Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.

Test H0 : μ1=μ2 vs Ha : μ1≠μ2 using the sample results x⎯⎯1=15.3, s1=11.6 with n1=100 and x⎯⎯2=18.4, s2=14.3 with n2=80.
(a) Give the test statistic and the p-value.

Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

Answers

The test statistics and the p-value from the research sampling will be 1.57 and 0.119.

What is test statistic?

It should be noted that a test statistic simply means a number that's used to describe how the observed value is far from the null hypothesis.

In this case, the test statistics is 1.57. The p value will be:

= 2 × 0.0593

= 0.119

Therefore, the test statistics and the p-value from the research sampling will be 1.57 and 0.119.

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As people entered the gym for the basketball tournament, members of the pep club were selling raffle tickets. They had $1.50 tickets and $5 tickets. The number of $1.50 tickets sold was two less than four times the number of $5 tickets sold, and the pep club raised $1,152 from the ticket sales. Let x represent the number of $1.50 tickets sold and let y represent the number of $5 tickets sold. Which equations best represent the situation? Check all that apply. x = 4y – 2 y = 4x – 2 x + y = 1152 1.5x + 5y = 1152 x = 2 – 4y y = 2 – 4x

Answers

Answer:the answer is AandD

Step-by-step explanation:

Answer:

A,D

Step-by-step explanation:

The height of a tree is 56 inches. After 5 years, the height is 10 feet 11 inches. How many inches did the tree grow each year?

Answers

In the duration of 5 years, the tree grows 15 inches each year

Calculating the rate of growth

From the question, we are to determine how many inches the tree grows each year

First, we will calculate the difference in height

Initial height = 56 inches

Final height = 10 feet 11 inches = 131 inches

Difference in height = 131 inches - 56 inches

Difference in height = 75 inches

Now, for the rate at which the tree grows each year,

The rate at which the tree grows each year = 75 inches / 5 year

The rate at which the tree grows each year = 15 inches/year

Hence, the tree grows 15 inches each year.

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Genevieve brought $35.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/6 as much as the sketchbook, and the sketchbook cost 3/4 the cost of the paint set. Genevieve had $2.00 left over after buying these items.

Answers

The cost of the brush is $2.25, the cost of the sketchbook is $13.50, and the cost of the paint set is $18.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the brush cost is $B, the sketchbook cost is $S, and the paint set cost is $P.

From the problem, we can draw three linear equations in three variables:

The brush was 1/6 as much as the sketchbook:

B = (1/6)S or

6B - S = 0 ...(1)

The sketchbook cost 3/4 the cost of the paint set

S = (3/4)P  or

4S - 3P = 0  ...(2)

The total cost would be:

B+S+P = 35.75 - 2

B+S+P = 33.75  ...(3)

After solving equations (1), (2), and (3) we will get the cost of each item:

B = $2.25

S = $13.50

P = $18

Thus, the cost of the brush is $2.25, the cost of the sketchbook is $13.50, and the cost of the paint set is $18.

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A rectangle is 8 millimeters wide and 27 millimeters long. What is the area of this rectangle? 70 mm² 166 mm² 216 mm² 223 mm²

Answers

Answer:

216 mm^2.

Step-by-step explanation:

Area = width * length

= 8 * 27

=  216 mm^2.

What is the equation of the line that passes through the point (-4, 8) and has a slope of -1/2​

Answers

8=-1/2(-4)+b equals 6=b, so y=-1/2x+6

Which pair of angles must be supplementary?

Answers

The pair of angles that must be supplementary, in the diagram given is: ∠2 and ∠5.

What are Supplementary Angles?

Supplementary angles are two angles whose sum equals to 180 degrees.

m∠2 + m∠5 = 180° (each equals 90°)

Therefore, the pair of angles, ∠2 and ∠5 are supplementary angles in the diagram given because their sum equals 180 degrees.

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sketch the graph of each linear inequality
y>-2x+1

Answers

Answer:

Step-by-step explanation:

sketch the graph of each linear inequality

y>-2x+1

Answer:

y ≥ 2x+1

The graph is a solid line since the sign is greater than or equal(≥).

The shaded area is above since y is greater than.

Step-by-step explanation:

5. Solve the logarithmic equation by writing in exponential form or by graphing. Round to the nearest
log (3x + 1) = 2
0.667
33.667
33
0.333

Answers

Answer:

It's b

Step-by-step explanation:

Installment Loan
Principal
$1500.00
Term Length
4 years
How much of the first
payment for the
installment loan
6% shown in the table will
go towards interest?
Interest Rate
Monthly Payment
$35.00

Answers

Answer:

32.90

Step-by-step explanation:

can anyone help me find the area of these two pls ? ty

Answers

Answer:

7. 84

9. 64

Step-by-step explanation:

Area of a quadrilateral is b x h , so just multiply the sides with each other for both of them.

if x=2 and y =0 what is the value of x²-y(x-y)-1​

Answers

Answer:

3

Step-by-step explanation:

x = 2

y = 0

plug in values

[tex]2^2[/tex]- 0(2-0)-1

4- 0(2)-1

4-0-1

4-1

3

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

45 degrees.

Step-by-step explanation:

The first angle is 90. 180-90 is 90. 90/2 is 45.

What is the inverse of the function f(x)=(x+4) squared

Answers

Answer:
f^-1(x) = /x - 4 - /x - 4

(check attached image)

purchase is financed by five annual payments of $1,000 the first payment due at time of purchase. The effective rate of discount, d, is 10%. Find the total amount of interest paid.

Answers

Answer:

they paid a total of 590.49

Step-by-step explanation:

1000 / 10 = 100 dollar discount he pays 900

900 / 10 = 90 they got a 90 dollar discount 810

810 / 10 = 81 they got an 81 dollar discount 729

729 / 10 =  72.9 they got a 72.9 dollar discount 656.1

656.1 / 10 = 65.61 they got a 65.61 dollar discount 590.49

 Match each table with its corresponding function type.

Answers

The first table that starts with -1,2 is exponential

The second table that starts with -2,-7 is linear

The last table is quadratic

pls heeeeeeeeeeelp 20 pointsssssssssssssssssssssssssssss

Answers

Answer:

A)

Step-by-step explanation:

891u9283131983 > 3298423492u49

this is correct :)

Solve triangle d, angle F and angle E when e=10, d=16.4, f=13, angle D=50

Answers

Answer:

P=a+b+c

the given triangle using the Law of Sines. Round lengths to the nearest tenth and angle measurements to the nearest degree.

Someone please help me?

Answers

Answer:

62 degrees or A

Step-by-step explanation:

90=28+2x

62=2x

x=31

2x=31*2

2x=62

Simplify -2 + 3(1-4)-2

Answers

Answer:-13

Step-by-step explanation:-2+3(1-4)-2

-2+3×-3-2

-2-9-2

-11-2

-13(hope this helps also if u want can u make thithis the brainliest?:))

find the 37th term of 262,257,252

Answers

82

Step-by-step explanation:

general term through the patteren

an = -5n+267

substitute and calculate = a37 = 82

Find the area of the rhombus.

Answers

Answer:

12 is the correct answer

Step-by-step explanation:

diameter is 12

At one university, the mean distance commuted to campus by students is 19.0 miles, with a standard deviation of 5.1 miles. Suppose that the commute
distances are normally distributed. Complete the following statements.
(ə) Approximately 99.7% of the students have commute distances between__miles
and__miles
(b) Approximately ??
of the students have commute distances between 8.8 miles and 29.2 miles.

Answers

The approximately 99.7% of the students have commute distances between 13.9 miles and 24.1 miles, the area within two standard deviation is 95%

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

a) We have:

mean u = 19.0 miles,

[tex]\rm \sigma = 5.1 \ miles[/tex]

According to the empirical rule, the area between [tex]\mu - \sigma[/tex] and [tex]\mu + \sigma[/tex] is 99.7%

[tex]\mu - \sigma = 19- 5.1 = 13.9[/tex]

[tex]\mu + \sigma = 19+5.1 = 24.1[/tex]

b) = P(8.8 < X < 29.2)

[tex]\rm P(\dfrac{8.8-\mu}{\sigma } < \dfrac{X-\mu}\sigma < \dfrac{29.2-\mu}{\sigma})[/tex]

[tex]\rm P(\dfrac{8.8-19}{5.1} < Z < \dfrac{29.2-19}{5.1})[/tex]

P(-2 < Z < 2)

Thus, the approximately 99.7% of the students have commute distances between 13.9 miles and 24.1 miles, the area within two standard deviation is 95%

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