The Johnson family pays $19.75 at the game for 3 ice cream cones and 4 funnel cakes. The Duke family pays $35.25 at the same game for 5 ice cream cones and 8 funnel cakes. How much does a funnel cake cost? How much does an ice cream cone cost?

Answers

Answer 1

Answer:

$1.75  cost of the funnel cake and $4.25 cost of the ice cream cone.

Step-by-step explanation:

x = cost of the ice cone cone

y = cost of the funnel cake

3x + 4y = 19.75      multiply (-2)       ⇔     -6x - 8y = -39.50

5x + 8y = 35.25    do not change   ⇔  +  5x + 8y = 35.25

                                                                     -x  =  -4.25

                                                                      x = 4.25  cost of the ice cream cone

Substitute into the second equation x = 4.25 and solve  for y

5(4.25) + 8y = 35.25

21.25 + 8y = 35.25

  8y = 14

y = 1.75    cost of the funnel cake


Related Questions

The diameters of a circle is 7m. Find its area to the nearest tenth?? Help please

Answers

Area =[tex]\pi r^{2}[/tex]

The diameter is double the length of the radius

7 ÷ 2 = 3.5

3.5 × 3.5 = 12.25

[tex]12.25\pi[/tex] = 38.4845100064751

38.4845100064751 rounded to the nearest tenth is 38.5

Answer:

A = 38.5 sq meters

Step-by-step explanation:

A = πr²

since diameter is 7, then radius is 7/2

A = π(7/2)²

A = 38.48

A = 38.5 rounded to nearest tenth

Find the solution to each system using elimination.x - 2y = 7x−2y=7 and 2x + 5y = -42x+5y=−4

Answers

Answer: dont even know tbh

Step-by-step explanation:?

9.608 x 4.09 I need help plzz I will get a f on thing help pls asap

Answers

Answer:

39.29672   hehe

PLEASE HELP. Select all the correct answers.

Which sequences of transformations applied to shape I prove that shape I is similar to shape II?

reflection across the x-axis, followed by a reflection across the y-axis, and then a dilation by a scale factor of 0.5

a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 0.5

a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 0.5

a translation 2 units down and 5 units left, and then a dilation by a scale factor of 0.5

Answers

Answer: 2 4 3

Step-by-step explanation:

6
(
2
f
+
2
)
+
2
(
3
f

3
)

Answers

Answer:

18f+6

Step-by-step explanation:

y=-4(5)x for x=2 Evaluate the problem

Answers

Answer:

y = - 100

Step-by-step explanation:

Assuming you mean

y = - 4[tex](5)^{x}[/tex] ← substitute x = 2

y = - 4[tex](5)^{2}[/tex] = - 4 × 25 = - 100

The student council is ordering
T-Shirts from a website. The T-shirts
cost $7 each and there is a shipping
fee of $15 for any amount ordered.
The student council wants to suspend
less than $100 on the T-shirts. Write
an inequality that can be used to find
X, the number of shirts the student
council can order?

Answers

7+15 = 22 then 22 x4=88 which you can only get 4 shirts

can someone please tell me how to do 2470; 3030; 3320; 4030; 2900; 4120 in stem and leaf diagram?

Answers

Before you start, please make a title for your Stem & Leaf plot.

1) Make two columns; Stem and Leaf.

2) Under "Stem" list the following whole numbers: 0, 1, 2, 3, 4, 5, 6. Notice that each number will correspond to each number you gave us.

3) Under "Leaf":

Only the last digits of the numbers go into the Leaf. If I number, for example, starts with 0, the remaining digits go into the Leaf.

4) Create a Key, which allows whoever is reading your plot to understand what the plot means. For example 2|4=24, since 2 is the stem and 4 is the leaf. We usually read a stem and leaf plot as the remaining digits go after the stem but if otherwise a Key is a must have when creating a plot.

The Key can be any set of numbers you have in your Stem and Leaf plot.

How fast must a jet travel to reach its destination
2,064 miles away in 4 hours?

Answers

516 mph if u wanna get there in 4 hours

Multiply. {}=3\dfrac{1}{2} \times 3\dfrac12=3 2 1 ​ ×3 2 1 ​

Answers

I assume you mean the product of mixed numbers,

3 1/2 × 3 1/2

If we write this as

(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²

we can use the identity

(a + b)² = a² + 2ab + b²

so that

3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²

3 1/2 × 3 1/2 = 9 + 3 + 1/4

3 1/2 × 3 1/2 = 12 1/4

Alternatively, we can first write 3 1/2 as a mixed number:

3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2

Then

3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4

and

49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4

36069 in scientific notation

Answers

Answer

A: 3.6069 x 10^4

i need help with this like... now besties

if h(t) = 220 + 1.5x represents the height of a chair lift as a function of time where t is time (in seconds) and h is height (in feet). What would the ordered pair (12, 334) represent on the coordinate plane?

Answers

Step-by-step explanation:

it represents a point on the line defined by the function equation.

it means that after 12 seconds the chair lift will have reached a height of 334 ft (after a starting height of 220 ft).

If cosine theta = -2/5 and tangent theta > 0, what is the value of sine theta?

Answers

[tex]\text{Given that,}\\\\\cos \theta = -\dfrac 25 \\\\\implies \cos^2 \theta = \dfrac 4{25}\\\\\\\implies 1- \sin^2 \theta = \dfrac{4}{25}\\\\\\\implies \sin^2 \theta = 1-\dfrac{4}{25}\\\\\\\implies \sin^2 \theta =\dfrac{21}{25}\\\\\\\implies \sin \theta = \pm \sqrt{\dfrac {21}{25}} = \pm \dfrac{\sqrt{21}} 5\\\\\text{Since}~ \tan \theta>0,~ ~\text{the value of} ~\sin \theta ~\text{wii be:} \\\\\sin \theta = -\dfrac{\sqrt{21}}5[/tex]

I need help bad with this equation

Answers

don't quote me on this but I'm pretty sure it's H multiplication property of inequality

I NEED ANSWER NOW PLEASE ITS DUE IN 3 MINS

Answers

Answer:

C

Step-by-step explanation:

add top half of fractions and only if there are common denominators

Answer:

C) 1/7+1/7+1/7

Step-by-step explanation:

Make sure the denominator matches that of the answer, so since 3/7, 7 is the denominator, only b and c have 7 as a denominator. Second, all the denominators have to be equal in order for you to add the numerators. Since all denominators in C are 7, you can do 1+1+1 which equals to 3.

Plz Help....(MATH)......

Answers

Answer:

2 [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

20 lbs distributed throught 7 days is [tex]\frac{20}{7}[/tex] which simplifies to 2 [tex]\frac{6}{7}[/tex]

M Y

(4x - 1)
(2x +5)
Р
W
M

Answers

Step-by-step explanation:

(4x-1) × (2x+5)

3x × 7x

21x

The answer is = 21x

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL


A 10 cm cube is built from small cubes, each 1 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
2:1
3:1
11:1
10:1

Answers

Answer:

10:1

Step-by-step explanation:

This ratio is N to n for all answers. (N = Larger than n, n = Smaller than N)

Look at the Larger number. (10)

Look at the Smaller number. (1)

Turn 10 and 1 into a ratio. (10:1)


You are going to have a birthday party and serve pizza. You plan to order pepperoni pizza
that costs $8 each and sausage pizza that costs $6 each. You need 100 pizzas and have
$740 to spend, how many of each type of pizza can you buy?

Answers

Answer:

70 pepperoni 30 sausage

Step-by-step explanation:

30 times 6 is 180

70 times 8 is 560

180 plus 560 is 740

8x-5y=15
6x+4y=43
solve the system by any method​

Answers

Answer:

[tex]x=\frac{275}{62}[/tex] , [tex]y=\frac{127}{31}[/tex]

Step-by-step explanation:

I will use the elimination method.

We want to make the X's the same:

[tex]24x-15y=45[/tex]

[tex]24x+16y=172[/tex]

Because the signs of the X's are the same we subtract the 2 equations to make:

(I put the second one on top of the 1st)

[tex]31y=127[/tex]

So:

[tex]y=\frac{127}{31}[/tex]

Substitute y into either equation 1 or 2:

(I chose equation 1)

[tex]8x-5(\frac{127}{31})=15[/tex]

[tex]8x=5(\frac{127}{31}) + 15[/tex]

[tex]x=\frac{5(\frac{127}{31})}{8}[/tex]

So:

[tex]x=\frac{275}{62}[/tex]

What is the equation for the line in slope-intercept form

Answers

The equation for slope intercept form is y = mx + b.

An example would be y = 3x + 4 or y = -2/5x - 4

−3(y+5)=15 someone please help me with this question my assignment is already late

Answers

Answer: -10

Step-by-step explanation:

Simplifying

-3(y + 5) = 15

Reorder the terms:

-3(5 + y) = 15

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

(-15 + -3y) = 15

Solving

-15 + -3y = 15

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + -3y = 15 + 15

Combine like terms: -15 + 15 = 0

0 + -3y = 15 + 15

-3y = 15 + 15

Combine like terms: 15 + 15 = 30

-3y = 30

Divide each side by '-3'.

y = -10

Simplifying

drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x, and match each solution to its number graph.

Answers

Inequalities are used to represent unequal expressions.

The inequalities are given as:

[tex]x - 99 \le -104[/tex]

[tex]x - 51 \le -43[/tex]

[tex]150 + x \le 144[/tex]

[tex]75 < 69 - x[/tex]

Start by solving for x in all the inequalities

[tex]x - 99 \le -104[/tex]

Make x the subject: Add 99 to both sides

[tex]x \le 99 - 104[/tex]

[tex]x \le -5[/tex]

[tex]x - 51 \le -43[/tex]

Make x the subject: Add 51 to both sides

[tex]x \le 51 - 43[/tex]

[tex]x \le 8[/tex]

[tex]150 + x \le 144[/tex]

Make x the subject: Subtract 150 from both sides

[tex]x \le 144 - 150[/tex]

[tex]x \le -6[/tex]

[tex]75 < 69 - x[/tex]

Make x the subject: Add x to both sides, and subtract 75 from both sides

[tex]x < 69 - 75[/tex]

[tex]x < -6[/tex]

Hence, the solutions to the inequalities are: [tex]x \le -5[/tex], [tex]x \le 8[/tex], [tex]x \le -6[/tex] and [tex]x < -6[/tex]

See attachment for the number graphs

Read more about inequalities at:

https://brainly.com/question/11713066

help PLEASE

Match the following:

Answers

Answer:

3

2

4

1

Step-by-step explanation:

mark as brain list plz and like

Please help
7a-4[2-(2a-1)]

Answers

Answer:

15a - 12

Step-by-step explanation:

7a - 4 [ 2 - (2a - 1) ] ← distribute parenthesis inside the bracket by - 1

= 7a - 4 [ 2 - 2a + 1 ]

= 7a - 4 (- 2a + 3) ← distribute parenthesis by - 4

= 7a + 8a - 12 ← collect like terms

= 15a - 12

Find an equivalent ratio in simplest terms: 56 : 40

Answers

Answer:

7:5 is another ratio equivalent to 56:40

Step-by-step explanation:

56/8 = 7

40/8 = 5

Answer:

hope this helps

Step-by-step explanation: an equivalent ratio in simplest form would be 7:5

this is found by dividing 56 by 8 which is 7 and 40 dividd by 8 which is 5

7:5

NO LINKS PLEASE. 10 POINTS! WHAT IS THE ANSWERs to THE SCREENSHOT? P.S. Please include graphing and labeling<:

Answers

Answer:

The answer is located in the image below.

Which statement is true about the function shown in the graph?
[tex]f(x) = 2 \sqrt{x + 4} [/tex]
A. The function is strictly increasing.
B. The function is strictly decreasing.
C. The function is increasing and decreasing.
D. The function is constant.​

Answers

Answer:

Function is slightly increasing

Step-by-step explanation:

PLATO

To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this? because the system of equations actually has only one solution because the system of equations actually has no solution because the graphs of the two equations overlap each other because the graph of one of the equations does not exist

Answers

Answer:

Henry could only see one line because both equations have the same expression when simplified:  y = 3/2x - 2.

Source:

https://brainly.com/question/9764595

Using the graph below what would the y value (range) be for an x value (domain) of -1

Answers

Answer:

y = - 5

Step-by-step explanation:

locate x = - 1 on the x- axis, go vertically down to meet the line at (- 1, - 5 )

Then when x = - 1 the value of y = - 5

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