A crate of soft drink holds 24 bottles.How much drinks will there be in 16 crates?

200 pounds need to collect to earn the $50.00. Divide the cost per pound from the total amount needed, \(\frac{50.00}{0.25}\)= 200 pounds.

The official money of the U.k. and its regions is the GBP, or British pound sterling. The Pound is the earliest currency that is still accepted as legal tender in the entire world. The GBP, represented by pound sign (£), has one of the greatest trade volumes worldwide.

The development of the pounds sterling -The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from. During the years, the pound banknotes underwent various revisions before being initially printed by the Bank of England and over 300 years ago.

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Answer:

  -3, 0, 5

Step-by-step explanation:

You want the zeros of P(x) = x³ − 2x² − 15x using the factored form.

We notice right away that x is a factor of every term. Factoring that out gives us a quadratic to factor:

  P(x) = x(x² -2x -15)

To factor this, we need two factors of -15 that have a sum of -2. The factors -5 and +3 have those properties. That means our factored form is ...

  P(x) = x(x +3)(x -5) . . . . factored form

This product will be zero when any of its factors is zero. Considering them one at a time, we find the zeros of P(x) to be ...

  x = 0

  x +3 = 0   ⇒   x = -3

  x -5 = 0   ⇒   x = 5

The zeros of P(x) are -3, 0, 5.

The statement which is true regarding f(x)=\(2^{x}\) and h(x)=-3*\(2^{x}\) is that function h is a reflection and a translation of function f.

Given two functions f(x)=\(2^{x}\) and h(x)=-3*\(2^{x}\).

We are required to find the statement which is true regarding the functions

f(x)=\(2^{x}\) and h(x)=-3*\(2^{x}\).

Function is relationship between two or more variables that are expressed in equal to form. The values that we enter in the function are known as domain and the values that we get from the function are part of codomain.

The statement which is true about the function f(x) and h(x) is the statement given in third option which is that function h is a reflection and a translation of function f.

Hence the statement which is true regarding f(x)=\(2^{x}\) and h(x)=-3*\(2^{x}\) is that function h is a reflection and a translation of function f.

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Answer:

11.5x 4.5-8 wayy easier all you do is add and multiply

The probability of getting a green gum ball is 0.35 (35/101)

Probability is the measure of chance that some event would happen.

Probability that an event will occur = (No of favorable possibilities of the event) / (total possible possibilities)

Given that there are 35 green,22 white, 30 purple and 14 blue gumballs in the gumball machine.

Therefore, Total gum balls = 35+22+30+14 = 101

The probability of getting a green gumball = no of green gumballs/ total gumballs

Therefore, probability of getting a green gumball = 35/101 = 0.35

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Answer:

1,575ft.

Step-by-step explanation:

Hope this helps!

Answer:

170

Step-by-step explanation:

45+45=100 35+35=70 100+70=170

Answer:

2

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Coin # 1 - 2 outcomes

Coin # 2 - 2 outcomes

Number cube - 6 outcomes

Total outcomes: 2 x 2 x 6 = 24

However, if “heads and tails” is considered the same as “tails and heads” (order doesn’t matter):

Coins outcomes: 3

Cube outcomes: still 6

Total outcomes: 18

Answer:  4

Step-by-step explanation:

2(12) + 6n ≥ 50

24 + 6n ≥ 50

6n ≥ 26

  n ≈ 4

The maximum number of tubes of paint that Kevin can buy is 4.

Answer:

He can make 4 tubs

Step-by-step explanation:

Shape: Right rectangular prism

Solved for Volume

Formula: V=whl

Formula 2: L x W x H

How to solve volume Right rectangular prism?

To find the volume of a rectangular prism, multiply the length x width x height. In this case the answer will end up as 105.

Solution: V=whl=3·7·5=105

Answer: V=105

The composite figure is formed by a semicircle and a triangle. To determine its area, you have to calculate the area of both shapes and add them.

1) Area of the semicircle

The area of the semicircle can be calculated as half the area of a circle, following the formula:

The diameter of the semicircle is 8m, the radius is half the diameter, so r=8/2=4m, replace the length of the diameter on the formula and calculate the area:

2) Area of the triangle

The area of the triangle can be calculated as half the product of its base and height following the formula:

The triangular shape has a base of 8m and a height of 12m, the area can be calculated as follows:

3)Area of the composite figure

Now what's left is to add the calculated areas to determine the area of the composite figure:

The area of the composite figure is 73.12m²

Answer:

60

Step-by-step explanation:

120 miles divided by 2 hours equals 60 mph

Step-by-step explanation:

5.|12 - r| > 15

|12 - r| > 15/5

|12 - r| > 3

12 - r < -3 or 12 - r > 3

-r < -3 - 12 or -r > 3 - 12

-r < -15 or -r > -9

r > 15 or r < 9

Answer:

Step-by-step explanation:

We can use the equation:

4x - 1.9 = 22.2

where x is the price of one tire patch.

This equation represents the total cost of four tire patches minus the amount remaining on the gift card after the purchase. Solving for x, we get:

4x = 22.2 + 1.9

4x = 24.1

x = 24.1 / 4

x = 6.025

Therefore, the price of one tire patch is $6.025.

None of the other equations listed are appropriate for solving this problem.

The quantity of candy that Eric ate would be = 14/15

The quantity of Candy Kim had = 2⅓ pounds.

The quantity of Kims candy that Eric ate = 2/5

That is 2/5 of 2⅓.

The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15

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The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Answer:

Step-by-step explanation:

(2,11)(-3,6)

-3-2/6-11

-5/-5

m=1

y=mx+b

11=1(2)+b

11=2+b

b=9

y=x+9

b—> 9

Slope: 1 (The y value increases the same amount as the x.)

Answer:

Four and three arithmetic numbers of this equation are then

Step-by-step explanation:

\(x = 3 = x = 4 > - 4 > < - 3 = x = 4\)

And the numbers are equal

\(x = 4 \\ y = 3 \\ x \times y = 12 = 12 > 4 > 3 = xy = 0 = \\ xy = - 12\)

Answer:

I think its 400

Step-by-step explanation:

8 seats per table, if there are 10 tables, means 80 seats in total. 80 times 5 gives you the amount of silverware: 400

If there are 10 tables (t) with 8 seats (s), there will be a total of 80 people needing silverware. So the equation is 5·10·8=400

There will be 400 pieces of silverware.

Answer:

V≈733.88cm³

Step-by-step explanation:

Thank you

The probability that a gorilla in this particular zoo will live between 14.3 and 19.4 years is 86% (or 0.86)

From the Empirical Rule, for a Normal Distribution, approximately:

68% of the data falls within one standard deviation of the mean

95% of the data falls within two standard deviations of the mean

99.7% of the data falls within three standard deviations of the mean

To estimate the probability of a gorilla living between 14.3 and 19.4 years, we first need to standardize these values by subtracting the mean and dividing by the standard deviation:

For 14.3 years: (14.3 - 16) / 1.7 = -1.18

For 19.4 years: (19.4 - 16) / 1.7 = 2

Now we can use a standard normal distribution table to find the probabilities associated with these z-scores:

The probability of a gorilla living less than 14.3 years is approximately the same as the probability of a standard normal variable being less than -1.18, which is about 0.12.

The probability of a gorilla living less than 19.4 years is approximately the same as the probability of a standard normal variable being less than 2, which is about 0.98.

Therefore, the probability of a gorilla living between 14.3 and 19.4 years is approximately the difference between these two probabilities: 0.98 - 0.12 = 0.86.

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Answer:

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Given the linear equation:

3x+4=22

First subtract 4 from both sides.

3x=22−4

Subtract 4 from 22 to get 18.

3x=18

Divide both sides by 3.

x=\(\frac{18}{3}\)

Divide 18 and 3 which gets you 6.

x=6

The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

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Answer:

x=3

Step-by-step explanation:

Answer:

x=10 and x=-4

Step-by-step explanation:

When the absolute value is all by itself on one side of the equation, the next step is to remove the absolute value bars. This will create TWO separate equations.

| x - 3 | = 7

x-3 = 7 This is one of the equations. Just straight up copied the equation but without the bars.

Here is the second equation:

x - 3 = -7

It is the left side copied, without the bars, but the right side has the opposite sign.

Solve these both separately to find the answers.

x-3=7 and x-3=-7

x=10 and x=-4

The graph of the arithmetic sequence is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Sequence: 4, 12, 20, 28....

The above sequence is an arithmetic sequence with the following parameters

First term, a = 4

Common difference, d = 8

So, the x-th term is

f(x) = a + (x - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(x) = 4 + (x - 1) * 8

This gives

f(x) = 8x - 4

So, the equation to plot is f(x) = 8x - 4

See attachment for the graph

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Answer:

C - formula of area of rectangle is l×w

so 23×16

Answer:

The answer is b because if you move it to the right you don't go to the other side

The number line that shows the solution to the inequality is given as follows:

First number line.

The inequality in the context of this problem is defined as follows:

-6x + 5 >= 17

-6x >= 12.

Due to the negative sign of the leading coefficient, we should change the sign of all terms, including the sign, as follows:

6x <= -12.

Then the solution is given as follows:

x <= -2.

Which is composed by the numbers to the left of the closed interval at x = -2, hence the first number line gives the solution to the inequality.

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The number line that shows the solution to the inequality is: C. graph C.

In Mathematics and Geometry, an inequality refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided above, we have the following equation (inequality);

-6x + 5 ≥ 17

By subtracting 5 from both sides of the equation (inequality), we have;

-6x + 5 - 5 ≥ 17 - 5

-6x ≥ 12

x ≤ 12/6

x ≤ 2 (it would be shaded to the left with a closed circle at 2).

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Answer:

Step-by-step explanation:

First , let us rewrite the given equation into y= mx+b format

.y= -x +7

Slope is -1

Slope of the line perpendicular to the given equation is -(-1) ie., 1

Let us find the y-intercept by plugging in the values of x,y and slope into the equation y= Mx +b

1 = -1 +b

2 = b

Equation of the line perpendicular to the given equation and passing through (-1,1) is

y=x +2