an ice cream truck offers 4 ice cream flavors and 3 toppings. if you get 1 scoop of ice cream and 1 topping, how many possible combinations could you get?

Answer:

b = 2a + c

Step-by-step explanation:

Given

a = \(\frac{1}{2}\) (b - c)

Multiply both sides by 2 to clear the fraction

2a = b - c ( add c to both sides )

2a + c = b

After the rearrangement, the equation as b the subject b = 2a + c.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given that the equation;

a = 1/2 ( b - c)

Rearranging the equation;

a =  1/2 ( b - c)

Multiplying 1/2 to the the terms of brackets,

a = (b/2) - (c/2)

b/2 = a + (c/2)

Divide by 2 on both sides of the equation;

b = 2a + c

Therefore, the equation as b the subject b = 2a + c.

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The ratio of a bag of flour to a bag of sugar is 3:1

A ratio can be defined as the relationship or comparison between two entity of the same unit.

Represent a bag of flour = x

a bag of sugar= y

6 bags of flour plus 6 bags of sugar is 50pounds

6x+6y= 50

8 bags of flour is also 50 pounds

8x= 50

Therefore a bag of flour is

x= 50/8

from 6x+6y= 50

6y= 2x

y= 2×50/48

y= 50/24

x:y=50/8:50/24

multiply the two ratios by 24

x:y= 150:50

x:y= 3:1

The ratio of flour to sugar is 3:1

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Answer:

yehwe have decided on this number

Answer:false

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

LN and RQ

Step-by-step explanation:

PQR is just an enlargened version of MLN

RQ is just LN but longer

Answer:

-10 vertical and -1 horizontal

Answer:

8 / √89

Step-by-step explanation:

1. cot (x) = 5/8

2. 8√89 / 89

3. simplify

4. 8 / √89

Value of sin(x) is equals to (8√89) / (89), 0 < x < 90.

" Trigonometric functions are mathematical functions which relates angles and sides of a right angle triangle ,  where 0 < x < 90°."

Formula used

In right angled triangle ABC , ∠B = 90° , ∠C = x°

cot (x )= ( Base ) / ( Opposite side)

sin ( x) = ( Opposite side ) / ( Base )

Pythagoras theorem

(Hypotenuse)² = (Base)² + (Opposite side)²

(AC)² = (AB)² + (BC)²

According to the question,

Given

cot (x) =5 / 8 , 0< x< 90

Therefore, by comparing the given values of trigonometric function with the formula we have,

Base = 5

Opposite side  = 8

Substitute the value in the Pythagoras theorem we get,

    (Hypotenuse)² = 5² + 8²

⇒ (Hypotenuse)² = 25 + 64

⇒  Hypotenuse   = √89                  

Therefore,

sin(x) =  8 / √89

        = 8√89 / 89 ( rationalize √89)

Hence, value of sin(x) is equals to (8√89) / (89), 0 < x < 90.

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Sally's sweet shoppe has cylindrical cups that have a diameter of 8 centimeters and a height of 5 centimeters the cylinder has a larger volume than the cone, by 64π cubic centimeters.

The sweet shoppe sells cylindrical cups with a diameter of 8 centimeters and a height of 5 centimeters.

The volume of the cylinder can be calculated using the formula V = \(\pi r^2h\), where r is the radius (half the diameter) and h is the height. So, for this cylinder:

r = 4 cm

h = 5 cm

\(V_{cylinder} = \pi (4cm)^2(5cm) = 80\pi\) cubic cm

The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius and h is the height.

The radius of the cone is half the diameter, or 4 centimeters, and we need to find the height of the cone.

The height of the cone can be found using the Pythagorean theorem, since the radius and height of the cone form a right triangle. The height is the square root of the difference between the hypotenuse (the slant height of the cone) and the radius, squared:

h = sqrt\(((5cm)^2 - (4cm)^2)\) = 3cm

Now we can calculate the volume of the cone:

r = 4 cm

h = 3 cm

V_cone = (1/3)π\((4cm)^2\)(3cm) = 16π cubic cm

Comparing the volumes of the cylinder and cone, we find:

V_cylinder - V_cone = 80π - 16π = 64π cubic cm

Thus, the cylinder has a larger volume than the cone, by 64π cubic centimeters.

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Option D, In a triangle ∆ABC, if DE i parallel to BC, 45 ÷ 7 is the length AE.

Triangles are geometrical objects without parallel sides. There will always be three sides to a triangle, and none of the people can be parallel. Drawing the form would be difficult if two of the three lines were parallel.

AE should be x cm.

Then, EC = 15 − x cm

Since, AD ÷ DB = AE ÷ EC

Therefore,

3 ÷ 4 = x ÷ (15 - x)

45 - 3x = 4x

7x = 45

x = 45 ÷ 7.

When two transversals cut two or more parallel lines, the parallel lines split the transversals proportionately. It should be noted that this theorem applies to any quantity of parallel lines and transversals.

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Option D is the correct answer. The length of AE is 45/7 cm

If a line intersects two sides of a triangle and splits those sides in equal proportions, then that line must be parallel to the third side of the triangle

To know if the lines are parallel or not we use the Triangle Proportionality Theorem which states that if a line divides two sides of a triangle proportionally, then it is parallel to the third side.

Given:

In ΔABC if DE ║ BC, AD/DB=3/4, and AC=15cm

To Find: AE =?

Let AE be x cm.

Then, EC=18−x cm

Since,  

DB/AD= EC/AE

​Therefore,

3/4= x/15−x

45−3x=4x

7x=45

x=45/7

Hence, we get the final value of AE equal to 6.42 cm

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4300

6 is ones

1 is tens

3 is hundreds

4 is thousands

therefore the answer is 4300

If 4316 is rounded to the nearest 100 then its value will be, 4300

Rounding means making a number simpler but keeping its value nearby original value.

Rules for rounding nearest 100:-

1. If the number's final two digits are 50 or higher, we round it up to the next hundred.

2. If the number's final two digits are 49 or less, we round it down to the closest hundred.

3. If the final two numbers are 00, there is no need to round because the number is already one hundred.

We have given number, 4316

Number's final two digits are less than 49

Hence, The rounded value is 4300

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Answer:

\(2(l + b) = {s }^{2} \\ 2(16 + b) = {13}^{2} \\ 32 + 2b = 169 \\ 2b = 137 \\ b = 68.5\)

Answer:

3.32 g

Step-by-step explanation:

1.10

2.22  

---------

3.32

(As both the numbers, have the same number of digits, you just need to add them like you do normal addition)

Answered by Guathmath

We cannot calculate the quick ratio for 2017 as the given data does not contain the balance sheet for 2017. However, we can calculate the quick ratio for 2021 using the given information. The quick ratio for 2021 is 1.54.

Quick ratio is a liquidity ratio that calculates a firm's ability to pay off its current liabilities with quick assets. Quick assets are the liquid assets that can be easily converted into cash within 90 days.

Quick ratio formula:

Quick ratio = (Current assets - Inventories) / Current liabilities

In the given information, we have the following details for the year 2021: Current assets = Cash + Accounts receivable + Inventory = 280 + 940 + 1725 = $2945 million

Current liabilities = Accounts payable = $1435 million

Inventory = $1725 million

Therefore, Quick ratio = (2945 - 1725) / 1435= 1.54 Hence, the quick ratio for 2021 is 1.54.

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The statements hold the contradiction, just by confusion in keep meaning of statements and get confused with "12" which is string in quotes

Let  be “the smallest integer not describable in fewer than  English words.” (Note that the total number of strings consisting of  or fewer English words is finite.)

What do you mean by contradiction?
Contradiction means that couple of statements that opposes each other.

Here,
The statement says let n be  “the smallest integer not describable in fewer than  English words.” which implies that n is connected with string mentioned in "" quotes, which is not a definition but contain 11 words in the quotes.
and another statement -  Note that the total number of strings consisting 11  or fewer English words is finite which implies that:
the limit of words inside the quotes ≤ 11 words

Thus, strings implies in quotes is simple meaning with 11 word in it
While in statement in brackets implies the limit of words as a string should be ≤ 11. the string "12" create the contradiction in minds.

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761680

\(\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}\)

Identify the following's:

First Term [a]  =  60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r]  =  1.2

Total Terms [n] =  44

===========================

\(\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}\)

===========================

Solving Steps:

\(\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}\)

\(\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}\)

\(\rightarrow \sf 761679.5808\)

\(\rightarrow \sf 761680 \ \ \ (rounded \ to \ nearest \ integer)\)

Answer:

C

Step-by-step explanation:

x+4> 8

Subtract 4 from each side

x+4-4>8-4

x > 4

Open circle at 4, line going to the right

━━━━━━━☆☆━━━━━━━

▹ Answer

\(Solved - x > 4\\Graphed - C\)

▹ Step-by-Step Explanation

x + 4 > 8

x > 8 -4

x > 4

When graphing inequalities, you have less than, greater than, less than or equal to, and greater than or equal too. When graphing an inequality with less than or greater than, you use an open circle. When graphing an inequality with less than or equal too or greater than or equal too, you used a closed circle.

Since the numbers are positive, we are going to move up the number line therefore leaving us with the answer of C.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

Step-by-step explanation:

y - 0 = -3(x - 9)

y = -3x + 27

answer is A.

When using y to predict x, the correlation will also be r = 0.4.

How do you explain correlation?

Correlation is a statistical technique that aids in the analysis of a relationship between two C. Correlation explains how two variables are related, such as height and weight, age and income, or studying and grades.

Correlation may be positive, negative, or zero. Positive correlation indicates that both variables increase or decrease together. Negative correlation, on the other hand, indicates that one variable increases while the other decreases.

How you predict the correlation is 0.4?

When using y to predict x, the correlation will be the same as when using x to predict y, i.e., r = 0.4.So the correlation is 0.4 when we use y to predict x.

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Answer:

$97

Step-by-step explanation:

Answer:

The 2-meter piece of cord for $2.08

Step-by-step explanation:

Because if you buy two of these you would get 4-meters for $4.16 while the other one is more expensive!

Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins to solve the equation for h but runs out of time. Her partial work is shown below:

p = 4l + 4w + 4h

2. StartFraction p Over 4 EndFraction equals StartFraction 4 l plus 4 w plus 4 h Over 4.

3. StartFraction p Over 4 EndFraction equals l plus w plus h. = l + w + h

h = 4. h equals StartFraction p Over 4 EndFraction minus blank. –

Which expression should follow the subtraction in Hallie’s equation?

(l + w)

(l – w)

left-parenthesis StartFraction l plus w Over 4 right-parenthesis.

left-parenthesis StartFraction l plus w Over 4 EndFraction right-parenthesis.

The expression (w + h) + p/4 should follow the subtraction if Hallie's equation is

p = 4l + 4w + 4h

p/4 = l + w + h

h = -

Hallie can use the following equation to solve the problem

p = 4l + 4w + 4h

She can proceed to make h the subject of the formula.

p = 4l + 4w + 4h

When we factor out 4 on the right hand side, we get:

p = 4(l + w + h)

We then divide both side by 4, we have

p/4 = l + w + h

Then, subtracting (l + w) from both sides, we get:

p/4 - (l + w) = h.

We can write it as:

h = - (l + w) + p/4

And that is what Hallie wanted to obtain.

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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The linked list at index 9 would be: 39,9,19. This is because the hash function key % 10 would place the keys 19, 20, 10, 32, 9, 43, and 39 into the array indices 9, 0, 0, 2, 9, 3, and 9 respectively. Since all the keys at index 9 collide, they are placed in a linked list using separate chaining.

The order in which they were inserted is 19, 20, 10, 32, 9, 43, and 39. Therefore, the resulting linked list at index 9 would be 39,9,19.
Based on the given operations and the hash function key % 10, I'll explain the contents of the linked list at index 9 in the separate chaining hash table.

1. Create a new SeparateChainingHashST named st.
2. Perform the following put operations:
  - st.put(19, -): 19 % 10 = 9, so 19 is added to the linked list at index 9.
  - st.put(20, -): 20 % 10 = 0, so 20 is added to the linked list at index 0.
  - st.put(10, -): 10 % 10 = 0, so 10 is added to the linked list at index 0.
  - st.put(32, -): 32 % 10 = 2, so 32 is added to the linked list at index 2.
  - st.put(9, -): 9 % 10 = 9, so 9 is added to the linked list at index 9.
  - st.put(43, -): 43 % 10 = 3, so 43 is added to the linked list at index 3.
  - st.put(39, -): 39 % 10 = 9, so 39 is added to the linked list at index 9.

After these operations, the linked list at index 9 contains the following elements (in the order they were added): 19, 9, 39.

Your answer: 19, 9, 39

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Answer:214.29

Step-by-step explanation:600 divided by 2.8

possibly the answer

To convert grams to moles per gram, you need to find the molar mass of the substance in grams per mole. Then, divide the number of moles by the given mass to get moles per gram.

To convert grams to moles per gram, you first need to determine the molar mass of the substance you are interested in. The molar mass is the mass of one mole of the substance, expressed in grams. Once you know the molar mass, you can use it to convert grams to moles, and then divide by the total mass to get moles per gram.

Here are the steps to follow:

Determine the molar mass of the substance. This is the sum of the atomic masses of all the atoms in the molecule, expressed in grams per mole. You can find the atomic masses on the periodic table.

Convert the given mass from grams to moles, using the formula:

moles = mass / molar mass

where mass is the given mass in grams, and molar mass is the calculated molar mass in grams per mole.

Divide the number of moles by the given mass, to get the moles per gram. This gives you the number of moles of the substance per gram of the sample.

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Answer:

Yes, because each input has exactly one output. = A.

Step-by-step explanation:

just did it :)

Answer:

D or 155

Step-by-step explanation:

There were 100 people surveyed so multiply the values by 5 and you have your answer after adding 110 with 45

Answer:

D. 155 people

Step-by-step explanation:

I just added both percents, 22% and 9% and then figured out 31% of 500 which is 155