A river guide buys protein bars and bottles of water for participants on a rafting trip. Including taxes, the river guide pays $ 2.50 for each protein bar and $ 1.25 for each bottle of water, spending a total of exactly $ 22.50 . Which combinations of protein bars and bottles of water are possible for the given amounts? Select ALL that apply.

Answers

Answer 1

Answer:

Step-by-step explanation:

2.50   for water

1.25     for protein bar   interesting that is exactly half of the water

22.50   exactly was spent

I couldn't come up a slick equation, so I just applied some logic and used brute forced (trail and error) to solve the problem.

2.5Water + 1.25Protein =   22.5  

      8W     +           2P    =   22.5

      6W     +           6P    =   22.5

      4W     +          10P    =   22.5

      2W     +          14P    =   22.5

There are the possible combinations of both protein bars AND water, since he bought both.  He could have also bought 10 water or 18 protein bars, but that is not part of the combination.


Related Questions

Select the end behavior of the exponential function shown in the graph

Answers

Answer:

The x graph

Step-by-step explanation:

The x graph

Answer: D

Step-by-step explanation:

can someone please answer this

Answers

Answer:

its c

Step-by-step explanation:

The answer would be B because and “infinite many solutions” has a line going through the graph which is why B is the best answer.

Hope this helps :))

Please Hurry !!

The speed s (in miles per hour of a car driving on wet asphalt can be given by s = 3 square root d, where d is the stopping distance (in feet). What is the approximate stopping distance of a car traveling 80 miles per hour? Round your answer to the nearest hundredth.

Answers

Answer:

d = 711 miles

Step-by-step explanation:

The speed s of the car is given by :

[tex]s=3\sqrt{d}[/tex] ...(1)

Where

d is the stopping distance

We need to find the stopping distance of a car travelling at 80 mph.

Rearranging equation (1) for d.

[tex]s^2=9d\\\\d=\dfrac{s^2}{9}\\\\d=\dfrac{80^2}{9}\\\\d=711.1\ miles[/tex]

or

d = 711 miles

So, the required stopping distance is 711 miles.

Natalie is playing the Integer Game and only shows you the four cards shown below. She tells you that the rest of her cards have the same values on them and match one of these four cards.

Answers

Missing part of question

(a) If all matching cards will increase her score by 18, what are the matching cards

(b) If all matching cards will decrease her score by 12, what are the matching cards

See attachment for cards

Answer:

(a) 9 card number 2 or 6 card number 3

(b) 6 card number -6

Step-by-step explanation:

Given

The number on the cards are: 2, 3, -6 and 4

Solving (a): An increment of 18

From the card numbers attached, there are 3 positive numbers and 1 negative number

If any of the card numbers is to increase her score, then the card number must be positive. So, we have: card numbers 2, 3 and 4 that fit in this category.

Next, for a card number to give an increment of 18; the card number must be a factor of 18.

So, we have:

[tex]\frac{18}{2} = 9[/tex]

[tex]\frac{18}{3} = 6[/tex]

[tex]\frac{18}{4} = 4.5[/tex]

Only 2 and 3 are factors of 18.

So, Natalie cards are: 9 card number 2 or 6 card number 3

Solving (b): A decrement of 12

If any of the card numbers is to decrease her score, then the card number must be negative. So, we have: card -6 that fit in this category.

Next, is to check if -12 is divisible by -6 (-12 means decrement of 12)

So, we have:

[tex]\frac{-12}{-6} = 2[/tex]

So, Natalie cards are: 6 card number -6

Work out the value of x.

Answers

2x+3x=180
5x=180
x=180/5
x=36

La diferencia de dos numero es 3.su suma es 13 cuáles son los dos numero

Answers

Answer: Los dos números son 8 y 5

Explanation:

Considere los dos números como

x

and

y

A partir de los datos dados, escribimos:

x

y

=

3

x

+

y

=

13

A partir de la primera ecuación, determinamos un valor para

x

.

x

y

=

3

agregar

y

a ambos lados.

x

=

y

+

3

En la segunda ecuación, sustituya

x

with

(

y

+

3

)

.

x

+

y

=

13

(

y

+

3

)

+

y

=

13

Abra los corchetes y simplifique.

y

+

3

+

y

=

13

2

y

+

3

=

13

Sustraer

3

de cada lado.

2

y

=

10

Divide ambos lados por

2

.

y

=

5

En la primera ecuación, sustituya

y

con

5

.

x

y

=

3

x

5

=

3

Agregar

5

a cada lado.

x

=

8

Step-by-step explanation:

Simplify: 3x + 6y - (4x - 2y)

Answers

Answer:

-x + 8y

Step-by-step explanation:

Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply.

A right triangle. The distance north from Omyra's House is 8 kilometers, and the distance west is 12 kilometers.

8 squared + 12 squared = d squared. 64 + 24 = d squared. 88 = d squared. StartRoot 88 EndRoot = d. 9.4 almost-equals d.
She did not find the full distance each traveled in 1.5 hours. She should have used 12 km for Joseph’s distance and 18 km for Isabelle’s distance.
She did not square the 12 in the problem. She should have used 12 squared = 144.
She did not evaluate 8 squared correctly. She should have used 8 squared = 8 (2) = 16.
She did not evaluate StartRoot 88 EndRoot correctly. She should have used StartRoot 88 EndRoot almost-equals 44.
She should not have taken the square root of each side when solving. She should have just divided each side by 2.
She should not have added the squares in the first step. She should have used 12 squared minus 8 squared = d squared.

Answers

For this case the distance will be given by:

d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2

Rewriting we have:

d ^ 2 = (18) ^ 2 + (12) ^ 2

d ^ 2 = 324 + 144

d ^ 2 = 468

d = root (468)

d = 21.63 Km

Answer:

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

Answer:

a and b

Step-by-step explanation:

Help I'm not sure if this is the answer?

(This question is about trigonometric ratios)

Answers

9514 1404 393

Answer:

  (b) 15.32

Step-by-step explanation:

You can use your triangle sense to answer this.

The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.

If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.

__

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(50°) = x/20

  x = 20×sin(50°) . . . . multiply by 20 to find x

  x ≈ 15.32 . . . . . . . . . use your calculator to evaluate

__

The attachment is intended to show how the triangle side lengths change with angle.

Whats the answer to this?

Answers

Step-by-step explanation:

area of figure = 5x² + 3

plz mark my answer as brainlist plzzzz.hope this will be helpful to you if you find it useful ☺️

Your at a sandwich shop, they offer 3 types of breads, 4 types of meats, and 8 types of toppings. How many different combinations are there?

Answers

Answer:

96 combinations

Step-by-step explanation:

when you get a question like this you multiply all the numbers and you get total number of combinations possible

Answer:

36 outcomes

As this a sandwich shop it uses bread for all meats.

3 x 4 x 3 = 36

Because 3 x 4 = 12

As the toppings are only repeated 8x3 = 24 and alongside this we add the shorter combinations to this  

Step-by-step explanation:

B1  M1    <  B1 M2 <  B1 M3  < B1 M4  < B1 M1 T1  < B1 M1 T2 < B1 M1 T3  to B1 M1 T8 etc = 12 combinations step 1

B2   M1  repeat above with B2 to replace B1 above  = 12

B3   M1  repeat above with B3 to replace B1 above = 12

As we only multiply whole numbers together if we are looking for an order of sequence such as combinations to a safe number code or how people stand in a queue etc back to middle number. We would get 96

Bread x middle value then outcome x toppings = 36 outcomes

The distance a train travels between 2 cities is 540 miles. The train travels at a speed of 80 miles per hour. Matt set up these rates to find the time it took the train to travel between the 2 cities.

Answers

Answer:

it takes 6 hours 40 minutes

Answer: 6.75 hours

Step-by-step explanation:

540%80=6.75

Jackson invested $140 in an account paying an interest rate of 3 3/4% compounded
quarterly. Lucy invested $140 in an account paying an interest rate of 3 1/2%
compounded daily. After 10 years, how much more money would Jackson have in his
account than Lucy, to the nearest dollar?

Answers

Answer: $5

Step-by-step explanation:

I really need help...Will mark brainiest

Answers

Answer:

[tex]x^{2} -1[/tex]

Step-by-step explanation:

You will need to multiply and distribute out the equation.

[tex](x-1)(x+1)\\x^{2} - x + x -1\\x^{2} - 1[/tex]

The shape of a patio is triangle without hight of 8 ft and base of 17 ft what is the cost of out door carpeting to cover the patio of the carpeting costs 6.50 per ft

Answers

Answer:

$442

Step-by-step explanation:

Given :

Height of patio, h = 8ft

Base of patio = 17 ft

Cost of carpeting = $6.50 per ft²

Area of triangular patio :

Area = 1/2 * base * height

Area = 0.5 * 17 * 8

Area of patio = 4 * 17

Area of patio = 68 ft²

Cost of carpeting :

Area of patio * contains st per ft²

68 * 6.50

= $442

50a+80


GIVING BRAINLEST

Answers

Answer:

180

Step-by-step explanation:

#5 need help asap will give brainly

Answers

This might help

total surface area Stot = 42.5 ft2

lateral surface area Slat = 30 ft2

top surface area Stop = 6.25 ft2

bottom surface area Sbot = 6.25 ft2

but im thinking they would need 113.7 ft of rapping paper i many be totally wrong tho

Answer:

42.5

Step-by-step explanation:

To find how many square inches of wrapping paper he will need you need to find the area of each face of the box and add them all together.

Top and bottom face:

First, 2.5 times 2.5 equals 6.25. Multiply 6.25 times 2 since there is one for the top and bottom to get 12.5

Left, Right, front, and back face:

Multiply 2.5 by 3 to get 7.5, and multiply 7.5 by 4 to get 30 since there are four faces with the same area.

Final Step:

Now, just add all the areas of the faces calculated to recieve the answer of 42.5

30 + 12.5 = 42.5

24% of 40



I need it worked out pls thank uuu:)










Answers

Step-by-step explanation:

24% is the same as 6/25

[tex] \frac{6}{25} \times 40 \\ = \frac{48}{5} = 9.6[/tex]

Answer:

9.6

Step-by-step explanation:

24% of 40 = 0.24 × 40 = 9.6

Which is the graph of y= 3/4x-3?
Graph C
Graph B
Graph A



Answers

graph A because the slope and y intercept is correct on that graph

A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day.
N(t)=50t/t+4
E(t)= 70t/t+3

Which function describes the difference of the number of components assembled per day by the experienced and new employees?
A. D(t)= 10t(2t+13)/t+3
B. D(t)= 10t(2t+13)/ (t+4)(t+3)
C. D(t)= 10t(2t-13)/t+4
D. D(t)=10t(2t-13)/ (t+4)(t+3)

Answers

The difference of the number of components assembled per day by the experienced and new Employees is : D(t)= 10t(2t+13)/ (t+4)(t+3)

Here we perform subtraction :

D(t) = N(t) - E(t)

N(t) = 50t / (t+4)

E(t) = 70t / (t+3)

The difference :

D(t) = E(t) - N(t)

D(t) = [70t / (t+3)] - [50t / (t+4)]

The L.C.M of (t+3) and (t+4) is (t+3)(t+4)

[70t(t+4)] - [50t(t+3)] / (t+3)(t+4)

70t² + 280t - [50t² + 150t] / (t+3)(t+4)

[70t² + 280t - 50t² - 150t] / (t+3)(t+4)

20t² + 130t / (t+3)(t+4)

D(t) = 10t(2t + 13) / (t+3)(t+4)

The difference of the number of components assembled is : D(t)= 10t(2t+13)/ (t+4)(t+3)

Learn more : https://brainly.com/question/1166214

Answer:b

Step-by-step explanation:

plato


If y=2x and 3x – 3y = 2, then x

Answers

Answer:

x = - 2/3

Step-by-step explanation:

2x = y

3x - 6x = 2

- 3x = 2

- 3x ÷ - 3 = 2 ÷ - 3

x = 2 ÷ - 3

x = - 2/3

Andre runs for 35 seconds at a velocity of -8 meters per second. He is running west. What is his finishing position?

Answers

Answer:

d = -280 m

Step-by-step explanation:

Given that,

Velocity of Andre, v = -8 m/s

Time taken, t = 35 seconds

We need to find his finishing position. Let the finishing position be x.

We know that,

Velocity = distance/time

So,

[tex]d=v\times t\\\\d=-8\times 35\\\\=-280\ m[/tex]

so, he was at a distance of 280 m in west.

A and B are independent events. Find P(A and B). P(A)=1/5, P(B)=3/7

Answers

Answer:

Step-by-step explanation:

A regular 13-gon is inscribed in a circle. Find the measure of each are intercepted by the sides of the polygon. Round your answer to the nearest hundreth of a degree.

Answers

Answer:

The measure of the angle subtended by each arc intercepted by the sides of the reh13-gon is approximately 27.69°

Step-by-step explanation:

The number of of equal sides in a regular 13-gon = 13 sides

The measure of the angle, 'θ', subtended by each arc intercepted by the sides of the 13-gon is given as follows;

θ = 360°/13 = [tex]27\dfrac{9}{13} ^{\circ}[/tex]  

By rounding rounding the answer to the nearest 10th, we have that the measure of the angle subtended by each arc intercepted by the sides of the 13-gon, θ = [tex]27\dfrac{9}{13} ^{\circ}[/tex] ≈ 27.69°

Which rule describes the translation below? On a coordinate plane, triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime.

Answers

Answer:

(x, y) ⇒ (x - 5, y - 3)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).

Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:

(x, y) ⇒ (x - 5, y - 3)

The sales tax rate in Connecticut is 6.35%. Megan wants to buy a jacket with a $45.00 price tag. She has a gift card to the store she wants to use. What amount needs to be on the gift card for Megan to be able to buy the jacket using only the gift card?

Answers

Answer:

$47.86

Step-by-step explanation:

A tax is a compulsory amount levied by the government or an agency of the government on goods and services

Taxes increases the price of goods and services. Thus, the amount paid would increase by the tax rate

Amount that needs to be on the gift card = amount of tax + price of the jacket

Price of the jacket = $45

Amount of tax = percentage tax rate x price of the jacket

0.0635 x $45 = $2.86

$45 + $2.86 = $47.86

This statement shows the ______ property.

Answers

Answer:

besti you didnt put the statement


The value of x is_____and the value of y is ___.

Answers

Answer:

x=60 y=50

Step-by-step explanation:

60+y=110

y=50

can someone help me please ❤️

Answers

Answer:314

Step-by-step explanation:

V=pi r squared

V= 3.14x10 squared

10 squared= 100

V=3.14x 100

V= 314

Help me please thanks

Answers

Replace x any with the given values:

x/y = 9/3 = 3

The answer is 3

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