Find the sum of H.C.F and L.C.M of
8 and 12

Step-by-step explanation:

there is something severely wrong with the problem definition.

when the Hypotenuse = 9, there is no 30-60-90 triangle with a leg = 6.

and when we are just focusing that this is a right-angled triangle with the Hypotenuse = 9, then 6 cannot be the longer leg.

it is also not clear what the solution is supposed to be. the 2nd leg ? the area ? the perimeter ? the height(s) ? ...

what ?

so, all I can do here is to show you why I said what I said :

30-60-90 triangle with Hypotenuse = 9

then the longer leg is opposite of the 60° angle and therefore sin(60)×9 = 7.794228634...

the shorter leg is opposite of the 30° angle and therefore sin(30)×9 = 0.5×9 = 4.5

a right-angled triangle with Hypotenuse = 9, one leg = 6 gives us per Pythagoras for the other leg

9² = 6² + leg²

81 = 36 + leg²

45 = leg²

leg = sqrt(45) = 6.708203932...

so, you see, as stated above, there is no leg with the length 6 in such a 30-60-90 triangle.

and in a more general right-angled triangle, if one leg = 6, then the other leg is actually longer.

therefore, there is everything wrong with the problem definition.

Using proportional relationships, it is discovered that they will cover 32 miles overall by walking 12 laps and running 20 laps.

For the second issue, the appropriate response is:

Brown 12 10 14 30

Green 20 25 35 75

Total 32 35 49 105

What is a direct proportional relationship?

In a direct proportional connection, the output variable is determined by multiplying the input variable by the proportionality constant, k, as in the example below:

y = kx.

For the first question, we have that out of a total distance of 8 miles, they:

Walk 3/8 of the distance.

Run 5/8 of the distance.

Hence the proportional relationships for the distances are given as follows:

Walked = 3/8 x Total Distance.

Ran = 5/8 x Total Distance.

For a total distance of 32 miles, the distances walked and ran are given as follows:

Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.

Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.

For the second question, we have that the table has to following the given ratios of the first row to the second row, with the third row being the sum of the first two rows, hence the third table is correct.

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Answer:

1320 should be expected

Step-by-step explanation:

22 = 600

  x10

220 = 6,000

   x6

1320=36,000

Answer:

p = 6

Step-by-step explanation:

5 + 2/3 (2p - 6) = 9

5 + 4/3p - 4 = 9

1 + 4/3p = 9

4/3p = 8

p = 6

Answer:

p= 6

Step-by-step explanation:

Solve for p:

(2 (2 p - 6))/3 + 5 = 9

Put each term in (2 (2 p - 6))/3 + 5 over the common denominator 3: (2 (2 p - 6))/3 + 5 = 15/3 + (2 (2 p - 6))/3:

(15/3 + (2 (2 p - 6))/3) = 9

15/3 + (2 (2 p - 6))/3 = (2 (2 p - 6) + 15)/3:

((2 (2 p - 6) + 15)/3) = 9

2 (2 p - 6) = 4 p - 12:

((4 p - 12) + 15)/3 = 9

Grouping like terms, 4 p - 12 + 15 = 4 p + (15 - 12):

(4 p + (15 - 12))/3 = 9

15 - 12 = 3:

(4 p + 3)/3 = 9

Multiply both sides of (4 p + 3)/3 = 9 by 3:

(3 (4 p + 3))/3 = 3×9

(3 (4 p + 3))/3 = 3/3×(4 p + 3) = 4 p + 3:

(4 p + 3) = 3×9

3×9 = 27:

4 p + 3 = 27

Subtract 3 from both sides:

4 p + (3 - 3) = 27 - 3

3 - 3 = 0:

4 p = 27 - 3

27 - 3 = 24:

4 p = 24

Divide both sides of 4 p = 24 by 4:

(4 p)/4 = 24/4

4/4 = 1:

p = 24/4

The gcd of 24 and 4 is 4, so 24/4 = (4×6)/(4×1) = 4/4×6 = 6:

Answer: p = 6

Answer:

C. 7°F

Step-by-step explanation:

Answer:

13/40

Step-by-step explanation:

Based on an equation, the amount that Isabel spent on bread was $2.42.

To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.

An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.

The amount Isabel spent on vegetables = $15.91

The amount she spent on fruits = $11.22

Let the amount she spent on bread = x

The total amount she went with = $30 (3 x $10)

The change she got after giving the cashier $30 = $0.45

The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)

x = $2.42 ($29.55 - $15.91 - $11.22)

Check:

Vegetables = $15.91

Fruits = $11.22

Bread = $2.42

Total expenses = $29.55

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The value of the probability is P(Large or Blue) = 7/10

The given parameters are represented on the table

Using the table parameters, we have

P(Large or Blue) = [(Large) + (Blue) - (Large and Blue)]/Total

This gives

P(Large or Blue) = ((17 + 8) + (17 +3) - 17)/(17 + 3 + 8 + 12)

This gives

P(Large or Blue) = 28/40

Simplify

P(Large or Blue) = 7/10

Hence, the value of the probability is P(Large or Blue) = 7/10

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Answer:

Yes (reasoning below)

Step-by-step explanation:

A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.

Answer:

No (please see below for reasoning).

Step-by-step explanation:

Hello there!

We are given the graph of a vertical parabola and we want to figure out if it's a function or not.

A function has ONE output for every input. In other words, if you put one thing into a function, you're only going to get ONE thing back out.

One analogy to think about this is a vending machine; if you press one code (the input), you're only going to get one snack (let's say, chips), and if you a specific code, the only possible snack for that code would be the chips (the output). In simpler terms, if you press 3D on a vending machine, you're only getting the chips. You're not getting the cookies and the chips. 3D can't correspond to both chips and cookies.

One way to figure out if an equation is a function if you're given the graph is to do the vertical line test, where you will draw a vertical line through the graph. If the line hits two or more points in the graph, that means the input has more than one output, which wouldn't be a function.

So draw a vertical line through the graph.

Please see the picture below for the visual representation. Notice how the blue line hits two points on the graph. This means it isn't a function, since it means that the input (the value of x) has more than one output (the y values on the graph).  Remeber that, for a function, we only can have one output for every input.

Hope this helps!

The graph for the mail is attached below.

What is graph?

A function, which is a relation that matches every element in its domain with exactly one element in its range, can also be represented as a graph.

Linear function graph. Every linear function has the formula f(x)=ax+b, where an is not zero and a and b are real numbers. ...

Squaring Function Graph. A parabola, or U-shaped curve, is the common name for a squaring function graph. ...

A reciprocal function's graph.

Step Function's graph.

Piece-Wise Function Graph.

The dots on the given figure denoted the houses where the postal carrier needs to go.

The graph is attached below.

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Answer:

answer should be x = -3y/2 + 6

hope it helps :D

Answer:

5(6)+3(4.5)- 6(2)= 31.5

Step-by-step explanation:

Answer:

hmmmmm

Step-by-step explanation:

Answer:

The sample space of rolling two six-sided dice at the same time consists of all possible outcomes of the two dice. Each die can show any number from 1 to 6, so the sample space contains 6 x 6 = 36 possible outcomes.

Each outcome is represented by an ordered pair (a,b) where a and b are integers from 1 to 6 representing the numbers shown on each die, respectively. For example, (1,1), (1,2), (1,3),......., (6,5), (6,6) are all possible outcomes in the sample space.

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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The values are;

Length = 6 inches

Width = 14 inches

The formula for determining the perimeter of a rectangle is expressed as

P = 2( l + w)

Where;

From the information given, we have;

Length = x

Width = 2(x + 1) = 2x + 2

Now, substitute the values

40 = 2( x + 2x + 2)

expand the bracket

40 = 2(3x + 2)

40 = 6x + 4

collect like terms

6x = 40 - 4

6x = 36

x = 36/6

Divide the values

x = 6 inches

Length = 6 inches

Width = 2( 6 + 1) = 2(7) = 14 inches

Hence, the values are 6 and 14 inches

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The values are;

Length = 6 inches

Width = 14 inches

How to determine the values

The formula for determining the perimeter of a rectangle is expressed as

P = 2( l + w)

Where;

P is the perimeter

l is the length

w is the width

From the information given, we have;

Length = x

Width = 2(x + 1) = 2x + 2

Now, substitute the values

40 = 2( x + 2x + 2)

expand the bracket

40 = 2(3x + 2)

40 = 6x + 4

collect like terms

6x = 40 - 4

6x = 36

x = 36/6

Divide the values

x = 6 inches

Length = 6 inches

Width = 2( 6 + 1) = 2(7) = 14 inches

Hence, the values are 6 and 14 inches

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Answer:

( 6 , 8 )

Step-by-step explanation:

y = kx

k = \(\frac{y}{x}\)

( 3 , 4 )

k = \(\frac{4}{3}\)

\(\frac{4}{3}\) = \(\frac{8}{6}\) = \(\frac{12}{9}\) = ....

( 6 , 8 )

From the graph , we can see that the line of the graph passes through the points ,

(0,0)

(-1,0)

( 2, 0 )

(3,0)

These are the roots of the equation. The point on which the graph cuts the x axis are the roots of the graph . Here since the graph cuts x axis 4 times , it has 4 roots as ,

-1

2

0

3

Equation of the graph :-

\(\implies f(x) = x ( x +1)(x-2) ( x-3) \)

We first have to create the roots of the graph. This can the done by creating factors based on the x intercepts as shown in the equation above. We have to make sure we change the signs of the x intercepts in order to create zeros.

We then have to square (x+0) because it does not completely cross the x axis. Finally we we multiply everything by -1 because the graph is starting from the top.

\(\longrightarrow \underline{\boxed{ {x}^{2} (x + 1)(x - 2)(x - 3)}}\)

Answer:

300 cm cubed or 300 cm^3

Step-by-step explanation:

(b x h ) / 2 = Area of triangle

5 x 12 = 60

60 / 2 = 30

Because it is a prism, the cross-sectional area is the same throughout the prism. Therefore, you just need to multiply the area by the height/width, which is 10cm.

30 x 10 = 300 cm cubedor 300 cm^3

Answer:

1/2BA*2+l*w

1/2*12*5*2+10*13+12*10+10*5

=360cm

Large Tractors Sold at Break Even Point= 26 units

Small Tractors Sold at Break Even Point= 39 units

Break-even point is where sales are equivalent to the sum of all costs incurred by the company. It is a significant concept in accounting as it gives the managers vital information on how many units must be sold to make business operations profitable.

From the question, it was stated that Wagner Enterprises sells for every three small tractors, two large tractors. Therefore, the sales mix will be:

The contribution margin per unit will be computed first, after which we multiply the sales mix by the computed margin per unit to get the Weighted Average Contribution Margin (WACM). This is shown below:

For Large Tractor:

Selling Price per Unit = $62,000

Variable Cost per Unit = $28,520

Contribution Margin per Unit = ($62,000 - $28,520) = #33,480

Multiply by sales-mix of 2/5 = 2/5 times $33,480 = 13,392 (WACM)

For Small Tractor:

Selling Price per Unit = $34,000

Variable Cost per Unit = $16,320

Contribution Margin per Unit = ($34,000 - $16,320) = #17,680

Multiply by sales-mix of 3/5 = 3/5 times $17,680 = 10,608 (WACM)

The Total Weighted Average Contribution Margin per unit is therefore:

$13,392 + $10608, equaling $24,000.

Now we can find the Break-even Point in Unit.

Formula for Break-even Point in Unit = Total Fixed Cost (TFC) divided by Weighted Average Contribution Margin in unit

Total Fixed Costs = $1,560,000

WACM in unit = $24,000

Break-Even Point = \(\frac{1,560,000}{24,000}\) = 65 units

From the calculations, the total units that must be sold to break-even are equivalent to 65 units. Given the above sales mix, the 65 units will be shared thus:

Therefore, 26 units of Large Tractors and 39 units of Small Tractors were sold at Wagner's Enterprise break-even point.

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Answer:

X is missing from the equation

Step-by-step explanation:

Answer:

About .19 cents for the unit rate

Step-by-step explanation:

Answer:

5^7

Step-by-step explanation:

Answer:

-1.3

Step-by-step explanation:

we have to do alot for this

so first we gotta change 12.3 into a mixed fraction

n = 5 so 5 ÷ 12.3

Answer:c, the answer is c

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

x= the number

Let's write the statement as an equation, and solve for x.

7x-90=3x

-90=-4x

22.5=x

Answer:

44

Step-by-step explanation:

vertical angles

Answer:

You can actually change it however you want I just happen to add two underneath the radical which shifted the graph to the left and I subtracted five on the outside of the radical which shifted the graph down five

The function h(x) is a transformation of the square root parent function, f(x)= √x then the function h(x) is√x+2 - 5

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

f(x) = √x

f(x) is a parent function.

a parent function is the core representation of a function type without manipulations such as translation and dilation.

We have to find the function h(x) which is obtained by transforming the function f(x)

From the given graph, the function f(x) is moved up about 2 units and the shifted left of 5 units

h(x) =√x+2 - 5

Hence, the function h(x) is a transformation of the square root parent function, f(x)= √x then the function h(x) is√x+2 - 5

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