I know the answer to the question. It’s just whenever I answer the reason for my answer it gets no marks. Can someone explain how I’m suppose to answer this question? This is a 3 mark question.

As per the given Ratio difference between the amount of money spent and the amount of money saved in a week is $2.

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

The ratio formula can be used to represent a ratio as a fraction. For any two quantities, say a and b, the ratio formula is a:b = a/b. Because a and b are separate amounts for two portions, the total quantity is given as (a + b).

et 5x be the money he spends and 4x be the amount he saves

therefore, 5x+4x= 18

9x= 18

x= 18/9= 2

Tom spends, 5×2 = $10

and he saves, 4×2= $8

Difference, = $10-$8= $2

Therefore, as per the given ratio in the question difference between the amount of money spent and the amount of money saved in a week is $2.

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Tom receives $18 from his father in a week. The ratio of the amount of

the money he spends to the amount of money he saves in a week is 5:4

What is the difference between the amount of money spent and

amount of money saved in a week?

Answer:

B' = (-6,6)

Step-by-step explanation:

The coordinates of B are (-2,2)

If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)

The range of x are;

1. x < -30

2. x > 8

3. x > 15

4. x < -2

A relationship between two expressions or values that are not equal to each other is called 'inequality.

1. -130 > 50x +20

-130-20> 50x

-150 > 50x

-150/50 > x

-30 > x

x < -30

2. -8(x-3) < -40

-8x +24< -40

collect like terms

-8x < -64

x > -64/-8

x > 8

3. 2x - 22 > 8

collect like terms

2x > 30

divide both sides by 2

x > 30/2

x > 15

4. -35 < -5(x+9)

-35 < -5x -45

collect like terms

10 < -5x

-2 > x

x < -2

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The slope of a plot of the natural log of the vapor pressure of a substance versus 1/t is  - e.

What is slope?

\(l_{n} P = \frac{- Delta H_{vol} }{R} ( 1 T ) + C\)

Yy = mx + c

\(m = \frac{- Delta H_{vol} }{R}\)

m = slope

Ans = - e

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Answer:

What is the perimeter? 89 cm

Step-by-step explanation:

(35.2 + 11.9) + (35.2 + 12.7)

= 47.1 + 47.9

= 89 cm

This is a special kind of right triangle, called a 30-60-90 triangle.

Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x\(\sqrt{3}\). And across from the 90 degree angle, the side is equal to 2x.

Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.

2x = 6

x = 3

Then, we are looking for the side opposite of the 60 degree angle. So its value is  x\(\sqrt{3}\).

x = 3

3 *  \(\sqrt{3}\) = 3 \(\sqrt{3}\)

y =  3\(\sqrt{3}\) (option D)

Hope this helps!! :)

The value of y for the given triangle will be  3√3, hence option (D) will be correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

Right angle triangles are triangles in which one angle is 90°.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

Given a right-angle triangle

Let the side opposite to 30° is perpendicular and the remaining y will be base.

By trigonometric relation

cosx = base/hypotenuse

cos30° = y/6  

y = 6 × cos30°  ⇒  y = 6 ×  √3/2

y = 3√3 hence the value of the hypotenuse or y will be 3√3.

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Answer:

B= 17.1

Step-by-step explanation:

The formula for the area of a triangle is BH1/2

The word problem gives you the area and the height

Set the problem:

369.25= 42.4(1/2)(B)

42.4(1/2)=21.2

369.25=21.2B

Divide both sides by 21.2 to isolate the variable

17.41=B

Hope this helps! :)

The fourth step of the risk assessment process is to determine current level of preparedness/mitigation.

The correct option is C.

A risk assessment is a procedure for identifying potential dangers and analyzing what might happen if one happens. A business impact analysis (BIA) is a procedure that determines the probable consequences of interrupting time-sensitive or important business processes. There are various potential hazards to be mindful of.

The ultimate goal of risk assessments is to improve workplace safety and health. However, to order to accomplish this, your risk assessment process must identify occupational hazards and eliminate or reduce the risks they represent.

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Answer:

6 3/250

Step-by-step explanation:

Follow me

Peace out!

Answer: I think it’s true

Step-by-step explanation:

Answer: 55

Step-by-step explanation:

Let the number of cars washed last year be denoted as x.

This year, he washed 14 fewer cars than during last year's car wash. This will be denoted as x-14.

We can then represent them in an equation as:

x + (x - 14) = 96

2x - 14 = 96

2x = 96 + 14

2x = 110

x = 110/2

x = 55

Therefore, he washed 55 cars this year

The volume of the hemisphere is 301.44mm²

Any circle drawn around the Earth that divides it into two equal halves is called a hemisphere. Examples is a ball cut into two part. Each part will be an hemisphere.

The volume of an hemisphere is expressed as;

V = 2/3πr³

where v is the volume and r is the radius

Here, r = 12mm

Therefore;

V = 2/3 × ×3.14 × 12²

V = 904.32/3

V = 301.44mm²

therefore the volume of the hemisphere is 301.44mm²

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The proportion that can be used to show that the slope of uw is equal to the slope of wy is B) 2-8 -1-2.

Let the angles opposite to sides UV, VW, and WU be denoted by theta1, theta2, and theta3, respectively, in triangle UVW. Similarly, let the angles opposite to sides WY, YX, and XW be denoted by theta4, theta5, and theta6, respectively, in triangle WXY. Since triangles UVW and WXY are similar right triangles, we have:

theta1 = theta4 = 90 degrees (both triangles are right triangles)

theta2 = theta5 (corresponding angles in similar triangles are equal)

theta3 = theta6 (corresponding angles in similar triangles are equal)

UW/VW = WY/YX (sides in similar triangles are proportional)

The slope of uw is given by the rise over run or (VU - UW)/(WV), and the slope of wy is given by the rise over run or (XY - WY)/(YW). Using the similar triangles proportion, we can substitute UW/VW = WY/YX and simplify to get (VU - UW)/(WV) = (XY - WY)/(YW). This equation shows that the slope of uw is equal to the slope of wy.

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The vertex of the graph of f(x) = |x - 5| - 6 is (5, -6). It lies in the fourth quadrant.

Therefore the answer is (5, -6).

The graph f(x) = |x - 5| - 6 is symmetrical about the axis  x = 5.

A vertex of a graph is a node of a graph. For a graph of the form f(x) = a|x - h| + k, the vertex is (h, k). So in this case where f(x) = |x - 5| - 6, a = 1, h = 5 and k = -6. Therefore the vertex of the given graph f(x) is

(5, -6)

--The question is incomplete, answering to the question --

"What is the vertex of the graph of f(x) = |x - 5| - 6?"

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The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Population: The containers of blueberries that are being sent to Stop and Shop.

Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

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The equation to determine the original price per pound is 3(x + 0.75) = 5.88, where x is original price per pound. so, the original price is  $1.21.

Let x be the original price per pound of apples.

When the price increased, the new price became x + 0.75.

Sam bought 3 pounds of apples at the new price for a total of $5.88. This can be expressed as:

3(x + 0.75) = 5.88

Expanding the left side of the equation, we get:

3x + 2.25 = 5.88

Subtracting 2.25 from both sides, we get:

3x = 3.63

Dividing by 3, we get:

x = 1.21

Therefore, the original price per pound of apples was $1.21.

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The given statement: n(n+1)(2n+1) is divisible by 6 for all positive integers n.

Step-by-step explanation: We need to prove that n(n+1)(2n+1) is divisible by 6 for all positive integers n using mathematical induction.

Step 1: First, lets prove the statement for the smallest possible value of n. The smallest value of n is 1. So, let's check whether the given statement is true for n = 1 or not.

\(LHS = 1(1+1)(2*1+1) = 6\)

It is divisible by 6. Hence, the statement is true for n=1.

Step 2: Let's assume that the statement is true for n=k. So, we can say that n(n+1)(2n+1) is divisible by 6 for n=k. i.e., n(n+1)(2n+1) = 6a (for some integer a).

Step 3: We need to prove the statement is true for n=k+1.

So, we need to prove that (k+1){(k+1)+1}[2(k+1)+1] is divisible by 6

Using the assumption we made in step 2.

\(LHS = (k+1){(k+2)}[2k+3] = (k+1)(k+2)(2k+3)LHS = (2k+3)k(k+1)(k+2)LHS = 2[k(k+1)(k+2)] + 3[k(k+1)]\)

Now, k(k+1)(k+2) is divisible by 6 using the assumption made in step 2.

So, LHS = 2[k(k+1)(k+2)] + 3[k(k+1)] is also divisible by 6.

Hence, the statement is true for n=k+1.

Step 4: Using steps 1 to 3, we can say that the given statement is true for n=1 and if it is true for n=k, then it is also true for n=k+1.

Hence, by mathematical induction, we can say that the statement is true for all positive integers n.

Hence, it is proved that n(n+1)(2n+1) is divisible by 6 for all positive integers n.

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Answer:

your answers will be

A》3

B》-4

Step-by-step explanation:

hope it helps you

have a great day!!!

In estimating a population mean, an interval estimate is more likely to be correct than a point estimate. An interval estimate provides a range of values within which the true population mean is likely to fall, while a point estimate provides only a single value.

When estimating a population mean, using an interval estimate is more likely to be correct because it accounts for the uncertainty associated with the estimate. A point estimate, on the other hand, provides a single value that is assumed to represent the true population mean. However, due to sampling variability and potential errors in measurement, a point estimate is prone to error and may not accurately reflect the true population mean.

By using an interval estimate, which includes a range of values, we have a measure of uncertainty. The range is typically constructed based on a certain level of confidence, such as a 95% confidence interval. This means that if we were to repeat the sampling and estimation process many times, the true population mean would be expected to fall within the estimated interval in 95% of those repetitions.

The interval estimate takes into account the variability in the data and provides a more realistic representation of the true population mean. It provides a margin of error and acknowledges that the point estimate is just one possible value among many that could have been obtained through sampling.

Therefore, when estimating a population mean, an interval estimate is preferred because it not only provides a point estimate but also quantifies the uncertainty associated with that estimate, leading to a higher likelihood of being correct.

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Answer:

3 cm

Step-by-step explanation:

Find the value of x:

\(5-2x=-4x+9\)

\(-2x+4x=-5+9\)

\(2x=4\)

\(x=4/2\)

\(x=2\)

Find one side of the triangle by adding 2 as the value x:

\(=5-2x\)

\(=5-2(2)\)

\(=5-4\)

\(=1\)

Perimeter of the triangle:

1 × 3 = 3cm

The dimensions of the open top box with a square base are length of 5.03 feet, width of 5.03 feet, and height of 2.52 feet that will minimize the surface area.

It is given to us that -

There is an open top box with a square base

It will be made to hold 64 cubic feet

We have to find out the dimensions that will minimize the surface area.

The given information requires optimization analysis to be done. In the optimization analysis we usually have a function to optimize (maximize or minimize), referred to as the objective function, dependent on specific constraint equations.

In a two-variable problem, there are two variables in the objective function and constraints in the form of equations that satisfy both the variables.

We have to eliminate one variable by using constraints to express the variable in terms of the other ones. In this way, the objective function is significantly decreased to a function of one variable. The maximum or minimum values can be determined by calculus methods.

Let the dimensions of the square box be stated as base "x" and height "h".

So, the volume of the square box can be given by

\(V = x*x*h\\= > V = x^{2} h\)

It is given to us that the volume of the square box is 64 cubic feet. So, from the above equation, we have

\(x^{2} h=64\\= > h=\frac{64}{x^{2} }\) -------- (1)

The total surface area of an open top box with a square base can be represented as -

\(A=x^{2} +4xh\) ------- (2)

Substituting equation (1) in equation (2), we have

\(A=x^{2} +4xh\\= > A=x^{2} +4x(\frac{64}{x^{2} } )\\= > A=x^{2} +\frac{256}{x}\)------- (3)

To find out the minimum surface area, we have to take \(\frac{dA}{dx} =0\)

Using equation (3) in the above equation \(\frac{dA}{dx} =0\),

\(\frac{d}{dx}(x^{2} +\frac{256}{x} )=0\\ = > 2x-\frac{256}{x^{2} }=0\\ = > 2x=\frac{256}{x^{2} } \\= > x^{3}=128\\ = > x=5.03\)------ (4)

Substituting the value of x from equation (4) in equation (1), we have

\(h=\frac{64}{x^{2} }\\= > h=\frac{64}{(5.03)^{2} }\\= > h=2.52\)

Therefore, the dimensions of the open top box with a square base are length of 5.03 feet, width of 5.03 feet, and height of 2.52 feet that will minimize the surface area.

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Answer:

No but Brainly is stu.pid for that lol

Step-by-step explanation:

When the probability is proportional to the length of the interval in which the random variable can assume a value, the random variable is uniformly distributed.

In probability theory and statistics, a uniformly distributed random variable follows a uniform distribution. This distribution occurs when the probability of the random variable assuming a value is equal across a given interval, and the probability is proportional to the length of that interval.
In a uniform distribution, every value within the interval has an equal likelihood of occurring. The probability density function (PDF) of a continuous uniform distribution is a constant within the interval and zero outside of it. The cumulative distribution function (CDF) is a linear function that increases uniformly from 0 to 1 over the interval.
For example, if we have a random variable representing the time it takes for a car to pass through a traffic light, and the probability of the car taking any specific amount of time is proportional to that time interval's length, then the random variable follows a uniform distribution.
Therefore, when the probability is proportional to the length of the interval in which the random variable can assume a value, the random variable is uniformly distributed.

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Check the picture below.

\(\sin(A )=\cfrac{\stackrel{opposite}{2\sqrt{2}}}{\underset{hypotenuse}{4}}\implies \sin(A )=\cfrac{\sqrt{2}}{2} \\\\\\ \cos(A )=\cfrac{\stackrel{adjacent}{2\sqrt{2}}}{\underset{hypotenuse}{4}}\implies \cos(A )=\cfrac{\sqrt{2}}{2} \\\\\\ \tan(A )=\cfrac{\stackrel{opposite}{2\sqrt{2}}}{\underset{adjacent}{2\sqrt{2}}}\implies \tan(A)=1\)

Answer:

B. x = 7/2 or x=-1/3

Step-by-step explanation:

You know both angles 6x² and 19x+7 have to be the same, so you can solve

6x² = 19x+7

6x² - 19x - 7 = 0

apply the quadratic formula and find

x = -1/3 or x = 7/2

now think carefully if the negative x is a realistic solution. It would lead to the angles being (2/3)°. This is not what the picture suggests, but it is also not wrong, so answer B seems the best.

Answer:

8. B

Step-by-step explanation:

"More than twice...-

2x

complement

90

"23 is more"-

+ 23

put it all together-

2x + 23 = 90

Angle E is 33.5 or 34 once you find the value of x

Now subtract this from 180 to find the other angle

180 - 34 = 146

Answer:

The percent of change is 44.7%

Step-by-step explanation:

Given that:

38 staples to 55 staples

As the number of staples are increased, therefore, the percent will also increase.

Difference = 55 - 38 = 17 staples

Percent of change = \(\frac{Difference}{Original\ number}*100\)

Percent of change = \(\frac{17}{38}*100\)

Percent of change = 0.447*100

Percent of change = 44.7%

Hence,

The percent of change is 44.7%

Answer:

The coffee shop sells 12 cups/hour.

Step-by-step explanation:

To figure this out you would divide the amount of cups (48) by the amount of hours (4)

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

Answer:

The answer is 4

Step-by-step explanation:

Since the total area is 28, and the length is 7. Therefore 28 divided by 7 equals 4.

Hope this helps

Answer:

4 meters

Step-by-step explanation:

Let's assume this is a rectangular garden.

The area of a rectangle can be found using:

a=l*w

We know the area is 28 square meters and the length is 7 meters. We can substitute 28 in for a, and 7 in for l.

28=7*w

Now we need to solve for w. To solve, we have to get w by itself. 7 and w are being multiplied. To reverse this, divide both sides by 7.

28/7=7*w/7

28/7=w

4=w

The width is 4 meters