Ari thinks the perfect milkshake has
3
33 ounces of caramel for every
5
55 scoops of ice cream. Freeze Zone makes batches of milkshakes with
6
66 ounces of caramel and
8
88 scoops of ice cream.
What will Ari think about Freeze Zone's milkshakes?

The side that has been marked as x by the Pythagorean theorem is found to be 8.

The Pythagorean theorem allows us to find the length of one side of a right triangle if we know the lengths of the other two sides. It also helps in determining whether a triangle is a right triangle by checking if the given side lengths satisfy the theorem.

We know that;

x^2 = (√89)^2 - 5^2

x^2 = 89 - 25

x = 8

Learn more about Pythagorean theorem :https://brainly.com/question/14930619

#SPJ1

Answer:

70%

Step-by-step explanation:

the formula for percent of change is:

New value - Old value divided by Old value

we can write this algebraically as:

(6-20)/20 which is -14/20

the negative simply implies a 'decrease' from old to new

14/20 equals 70/100 or 70%

Answer:

The answer to your question is 70% decrease

Step-by-step explanation:

I hope this helps and have a wonderful day!

The solution to the system of equations, -x + y = 3 and 4x + y = 8 is: x = 1, y = 4.

If we are given two equations in a system, such as:

-x + y = 3 --> eqn. 1

4x + y = 8 --> eqn. 2

To solve by substitution, rewrite equation 1:

-x + y = 3

y = 3 + x --> eqn. 3

Substitute the value of y into equation 2:

4x + (3 + x) = 8

4x + 3 + x = 8

5x + 3 = 8

5x = 8 - 3

5x = 5

x = 1

Substitute the value of x into eqn. 3:

y = 3 + 1

y = 4

The solution is x = 1, y = 4.

Learn more about system of equation on:

https://brainly.com/question/25976025

#SPJ1

Answer:

30 boys

Step-by-step explanation:

10 boys to 7 girls= 10:7

Blank boys :21 girls

7x3=21

10x3=30

Blank=30

30 boys : 21 girls

Answer:

5/8

Step-by-step explanation:

\( f( \frac{1}{2} ) = \frac{ - 3}{4} ( \frac{1}{2} ) + 1\)

\( \frac{ - 3}{8} + 1 = \frac{5}{8} \)

i think this is the answer

The linear system of equations to represent the given scenario is 5 x + 2 y = 31 and 3 x + 5 y = 30. Therefore, option D is the correct answer.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, Fiona and Iliana went to a going-out-of-business sale at a local video store.

Let the cost of each HD videos be x and the cost of each classic videos be y.

Fiona bought 5 HD videos and 2 classic videos for $31.

5x+2y=31 ------(I)

Iliana bought 5 classic videos and 3 HD videos for $30.

3x+5y=30 ------(II)

Multiply equation (I) by 5, we get 25x+10y=155 ------(III)

Multiply equation (II) by 2, we get 6x+10y=60 ------(IV)

Subtract equation (IV) from equation (III), we get

25x-6x=155-60

19x=95

x=5

Substitute x=5 in equation (I) we get

25+2y=31

2y=6

y=3

So, solution is (5, 3)

Therefore, option D is the correct answer.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1

Answer:

can u please put the whole question here.

Step-by-step explanation:

At x = 0 and x = 7, the function g(x) is undefined.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression of the function is,

⇒ g (x) = 6 / x (x - 7)

Now, We know that;

The function f(x) = a(x) /b (x) is not defined at b (x) ≠ 0

Here, The expression of the function is,

⇒ g (x) = 6 / x (x - 7)

So, Function g (x) is not defined when,

x (x - 7) = 0

⇒ x = 0

or, x - 7 = 0

⇒ x = 7

Thus, At x = 0 and x = 7, the function g(x) is undefined.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

For more such questions on percentage.

https://brainly.com/question/24877689

#SPJ8

Answer:

340

Step-by-step explanation:

$730 - $50 = $680

$680 / 2 = 340

they both have an equal of 340 and then mike adds in 50 more so:

340 + 340 = 680 + mike's $50 = $730.

There are 64 million distinct telephone numbers possible in this country.

Telephone number can be defined as a sequence of digits assigned to a landline telephone subscriber station connected to a telephone line or to a wireless electronic.

Since the first digit cannot be 4 or 1, there are 8 choices for the first digit (since there are 10 digits in total, but 2 are not allowed).

For each of the remaining 7 digits, there are 10 possible choices (since repetition is allowed).

Therefore, the total number of possible telephone numbers is:

8 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 64,000,000

So there are 64 million distinct telephone numbers possible in this country.

Learn more about digit here : brainly.com/question/28529894

#SPJ1

Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces

Answer:

8

Step-by-step explanation:

bResponses

y = 8

y, = 8

y = 3

y, = 3

y=−3

Answer:

muliply those numbers. and then divide from the amount of money she has.

Step-by-step explanation:

Answer:

Step-by-step explanation:

true true false

Answer:

1.5 percent

Step-by-step explanation:

Answer: \(a=5/12\)

Multiply both sides by 5/3

\((5/3)*(3/5a)=(5/3)*(1/4)\\a=5/12\)

Answer:

a=12/5=2.4

Step-by-step explanation:

We cross multiply first

3/5a=1/4

5a×1=4×3

5a=12

Divide both sides by 5

5a/5=12/5

a=12/5

a=2.4

The wheelchair access ramp must be 216.09 inches long.

To find the length of the wheelchair access ramp, we can use trigonometry.

The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).

Let's denote the length of the ramp as "x".

The height of the ramp is given as 18 inches.

Using the tangent function:

tan(angle of elevation) = height/length of the ramp

tan(4.8 degrees) = 18/x

To solve for x, we can rearrange the equation:

x = 18 / tan(4.8 degrees)

Using a calculator to evaluate the tangent of 4.8 degrees:

x = 18 / 0.08331

x= 216.09

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.

Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.

Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.

Since NP and QS are parallel lines, we have:

∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)

Also, the alternate interior angles NOM and POM are equal, so:

∠NOM = ∠POM

Substituting this into the first equation gives:

∠POM + ∠MOP = 180°

We can now solve for ∠POM by substituting the given value:

130° + ∠POM = 180°

∠POM = 50°

To know more about alternate interior angles visit:

https://brainly.com/question/24719494

#SPJ1

Answer:

Total Earnings = 18,160

1) 1.07 * principal1 *  + 1.06  * principal2= 18,160

2) principal1 + principal2 = 17,000

We'll multiply equation 2) by -1.06

2) -1.06*principal1 -1.06*principal2 = -18,020 then adding equation 1)

1) 1.07 * principal1 *  + 1.06  * principal2= 18,160

.01*principal1 = 140

principal 1 = 14,000

and therefore principal 2 = 3,000

Step-by-step explanation:

Freida can use her 1/2 fraction of cup measuring cup twο times tο get 1/2 cup because twο 1/2 cups equal 1 cup.

Fractiοns are a way tο represent a part οf a whοle οr a divisiοn οf a quantity. They are written as a numeratοr (the tοp number) οver a denοminatοr (the bοttοm number) and separated by a line.

Freida is using a 1/2 cup measuring cup. When she fills it up οnce, she has 1/2 cup. Then, when she fills it up again and adds it tο the first 1/2 cup, she has a tοtal οf 1 cup.

This can be visualized by imagining a rectangular shape that represents 1 cup οf liquid. If we divide this shape intο twο equal parts, each part represents 1/2 cup. When Freida fills up her 1/2 cup measuring cup and adds it tο the first 1/2 cup, she is essentially filling up οne οf these parts. When she repeats this prοcess, she fills up the bpart, and the twο parts tοgether make up the entire 1 cup shape.

Hence, Freida can use her 1/2 cup measuring cup twο times tο get 1/2 cup because twο 1/2 cups equal 1 cup.

To learn more about fractions, Visit

https://brainly.com/question/78672

#SPJ1

Answer: How fast was she going per hour? 12.5 miles.

#2 is 2.7 hours in 4.5 miles

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

since its a square, and has four sides then you would divide total length by four to find the length of each side

Answer:

there is no image

Step-by-step explanation:

2 > -3t - 10 # Starting inequality

12 > -3t # Add 10 to both sides

-4 < t # Divide with sides -3

Hope this helps!

Answer:

t>-4

Step-by-step explanation:

2>-3t-10

-3t<2+10

-3t<12

t<12/-3

t<-4

change the inequality sign,

t>-4

Please mark me as Brainliest if you're satisfied with the answer.

Answer:

384

Step-by-step explanation:

A=\(6_{2}\)a=6·82=384

Answer:

F. (x, y) = (-y, x)

Step-by-step explanation:

270º clockwise transformation:

The 270° clockwise transformation of a point (x,y) is:

(x,y) -> (-y,x)

Thus, as we just apply the rule in this conceptual question, the correct answer is given by:

F. (x, y) = (-y, x)

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

For more related questions on time spent:

https://brainly.com/question/28263820

#SPJ8