Luke and Leia are selling hot dogs and hamburgers at a minor league baseball game. At the end of the day they determine they have sold a total of 45 items and earned $195. If hot dogs cost $4 and hamburgers cost $5, how many did they sell of each?

What would be a system of equations for the scenario above?

Answer:

There are 4 possible ways to put the fruits into the basket.

Thanks!

Ask yourself: "Can I roll a prime number and an odd number at the same time?"

Since the answer is "yes it is possible" (eg: rolling a 3), this means the two events are not mutually exclusive. Mutually exclusive events have nothing in common.

In terms of a venn diagram, mutually exclusive events have no overlapping shared region.

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Answer:

what is this......................

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Answer:60 cups are left

Step-by-step explanation:

Answer:

  2 points: b, d

Step-by-step explanation:

Given the graph of a cubic function, you want to know the number of relative extreme points.

A point is a relative extreme if the points on either side of it are both less than or both greater than the extreme point. A relative extreme is a peak point or valley point on a graph, a point where the slope is zero, and changes sign from one side of the point to the other.

The relative extremes on the given graph are labeled 'b' and 'd'. There are two relative extremes.

__

Additional comment

Point 'b' is a relative minimum, where the slope changes from decreasing to increasing, and adjacent points are more positive. Point 'd' is a relative maximum, where the slope changes from increasing to decreasing, and adjacent points are more negative.

An "absolute extreme" is a relative extreme such that no points anywhere on the graph are more extreme.

The number of relative extremes a polynomial graph may have is 1 less than the degree of the polynomial. This can help you determine the degree from the number of extremes, or the number of extremes from the degree.

Answer:

y=24x+50

24= per month

x= months attended

50=member fee

Answer:

Points

Step-by-step explanation:

Jenny's Average swimming speed is 1.5 km/h.

Jenny's average swimming speed as S (in km/h). We can then use the given information to set up equations and solve for S.

We know that Jenny swam for 1 hour, so the distance she swam is given by the formula: Distance = Speed * Time.

Thus, the distance she swam is S * 1 = S km.

Next, we know that her average running speed is 8 times her average swimming speed. Therefore, her average running speed is 8S km/h.

Since she ran for 1 hour, the distance she ran is 8S * 1 = 8S km.

Furthermore, we are given that her average bicycling speed is 2 times her average running speed. Therefore, her average bicycling speed is 2 * 8S = 16S km/h.

She biked for 1.75 hours, so the distance she biked is 16S * 1.75 = 28S km.

The total distance of the triathlon is the sum of the distances for each segment: Distance(swimming) + Distance(running) + Distance(biking) = 55.5 km.

Therefore, we can write the equation:

S + 8S + 28S = 55.5.

Simplifying the equation, we get:

37S = 55.5.

To solve for S, we divide both sides of the equation by 37:

S = 55.5 / 37 = 1.5.

Thus, Jenny's average swimming speed is 1.5 km/h.

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The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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Answer:

3 2/3 will be 3 10/15

1 4/5 will be 1 12/15

Divide 3 into 15 and get 5; 5 x 2 = 10

Divide 5 into 15 and get 3; 3 x 4 = 12

So new equivalent fractions are 3 10/15

                                               and 1 12/15

Step-by-step explanation:

The required equivalent fractions for 3 10/15 and 1 12/15.

Given, two mixed fractions 3 2/3 and 1 4/5, determine equivalent fractions using 15 as the common denominator.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
First
= 3 2/3
= 3 + 2 / 3
= 3 + 2 × 5 / 3 × 5
= 3 + 10 / 15

Second,
= 1 4 / 5
= 1 4 × 3 / 5 × 3
= 1 12/15

Thus, the required equivalent fractions for 3 10/15 and 1 12/15.

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Step-by-step explanation:

Question 1

See the attached

This is a right triangle with different sides. Correct option is A, confirmed visually.

Question 2

Answered previously

Question 3

Answered previously

Question 4

The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

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Answer:

4.5

Step-by-step explanation:

I did something

the second one

Step-by-step explanation:

if 75 is the minum speed then you need to go more than 75 and less than 80 which is what the second one is showing

Answer:

see below

Step-by-step explanation:

For absolute values   | x |    just drop the sign of the number and make it positive

  example :     | -3|  = 3

so for this Q

-2  1/4     - 1  1/4     3/4     1  1/4    1  3/4     2 1/4

Answer:

0/46

Step-by-step explanation:

.................

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: True!

Explanation:

It is outside the triangle

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Step-by-step explanation:

First box: m=1/2

Second box: m=2

Third box: m=1

Fourth box: m=2

Answer:

D

Step-by-step explanation:

the probability of flipping a coin 7 times and getting heads 6 times is 7/128, and we convert the fraction into a decimal and get 5.47 (0.05*100 = 5.47)

Rounded by the nearest tenth = 5.5%

Answer:

0.26369

Step-by-step explanation:

Given that:

Mean precipitation (m) = 0.10 inches

Standard deviation (σ) = 0.07 inches

Probability that mean daily precipitation will be 0.107 inches (x) or more

x ≥ 0.107

Sample size (n) = 40

First find the Zscore

Using the relation :

Zscore = (x - m) / (σ / √n)

Zscore = (0.107 - 0.10) / (0.07 / √40)

Zscore = 0.007 / 0.0110679

Zscore = 0.632

Hence ,

P(Z > 0.632) = 0.26369 (Z probability calculator)

The y-intercept for the equation is (0, -2). So option C is correct.

When a line crosses the x-axis, or the location where y=0, this point is known as the x-intercept of the line. Setting y=0 in the equation of the line will allow you to find the x-intercept of the line. Typically, the x-intercept is shown as (a,0), where a represents the point's x-coordinate.

The point where a line crosses the y-axis, or where the value of x equals 0, is known as the y-intercept. By setting x=0 in the line's equation and calculating y, you can determine the y-intercept of a line. Typically, the y-intercept is shown as (0,b), where b is the point's y-coordinate.

Given that,

A line,

-2x + 5y = -10

y-intercept = ?

-2 x 0 + 5y = -10

5y = -10

y = -10/5

y = -2

Hence, the  y-intercept is (0, -2)

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Answer:   135%

Step-by-step explanation:

percents are parts out of the whole

In this case they want to know 81 is what part of 60.  81 is bigger than 60 so you are going to get something bigger than 100%

81/60

= 1.35

= 135%      move the decimal point over 2 times or multiply by 100

Answer:

x = 3

Step-by-step explanation:

6x + 2x - 5= 19  

8X -5 = 19

8x = 24

x = 3

answer:

48 miles per hour

Complete Question:

Annette and Rose went to an orchard to pick pears. Annette picked \(8\frac{1}{6}\)

pounds of pears and Rose picked\(6\frac{1}{8}\) pounds. How much more did Annette pick than Rose? Write your answer as a reduced mixed number.

Answer:

Annette picked \(2\frac{1}{24}\) pounds of pears more than Rose

Step-by-step explanation:

Pounds of pears picked by Annette = \(8\frac{1}{6}\)

Pounds of pears picked by Rose =  \(6\frac{1}{8}\)

To get the difference in the pounds of pears picked by Annette and Rose, we will do a simple subtraction:

Difference in the pounds of pears picked = \(8\frac{1}{6} - 6\frac{1}{8}\)

\(= 2(\frac{1}{6} - \frac{1}{8})\\= 2\frac{4 - 3}{24} \\= 2\frac{1}{24}\)