3/4 x 5/8 in simplest form

Answer: 49/16

Step-by-step explanation:

I took the test and got it correct.

The ratio of the area of triangle LMN to the area of triangle FGH is 49/16

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

Similarity ratio = 7:4

Express the ratio as fraction

So, we have the following representation

Similarity ratio = 7/4

Square the ration

Square = 49/16

Hence, the area ratio is 49/16

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The value of m<3 is 112.

The value of m<3 given that m<3 = (5x+12) and m<1 = (6x-8), we need to compare the expressions and identify any relationships or conditions that allow us to determine the value.

Given that m<3 = (5x+12) and m<1 = (6x-8), we can set these two expressions equal to each other and solve for x:

5x + 12 = 6x - 8

To isolate the variable x, we can subtract 5x from both sides of the equation:

12 = x - 8

Next, we can add 8 to both sides of the equation:

20 = x

We have determined that x = 20.

Now, we can substitute this value back into the expression for m<3 to find its value:

m<3 = 5x + 12

m<3 = 5(20) + 12

m<3 = 100 + 12

m<3 = 112

By solving the equation and substituting the found value of x into the expression for m<3, we have determined that m<3 = 112.

It is essential to carefully compare and manipulate the given expressions to derive the solution.

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hey!!!

Here's your answer;

The word trigonometry is derived from two Greek words trigon and metron. Trigono means triangle and metron means measurement. Therefore in literal terms trigonometry is the measurement of the angles of a triangle. The application of trigonometry is very vast.It is used in measuring eight and distance, surveys,Map making, astronomy, engineering etc.

The longest side,which is the opposite side of right angle is the hypotenuse.There are two other side's,the opposite and the adjacent.The naming of these sides depends upon which angle is involved.The opposite is the side opposite the angle involved and it is called the perpendicular.

The adjacent is the side next to the angle involved(but not the hypotenuse) and it is called base.

The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

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Answer:

18 kg of 15% copper alloy

62 kg of 70% copper alloy

Step-by-step explanation:

Step 1: Calculate the total amount of copper present in 80 kg of 48% copper alloy

Total Copper = 80 x 0.48 = 38.4 kg

Step 2: Calculate the amount of 15% copper alloy required

15% Copper Alloy = 38.4 / 0.15 = 256 kg

Step 3: Calculate the amount of 70% copper alloy required

70% Copper Alloy = (80 - 256) = -176 kg

Step 4: Since the amount of 70% copper alloy required is negative, the metalworker should use 256 kg of the 15% copper alloy and 0 kg of the 70% copper alloy to create 80 kg of 48% copper alloy.

∆ADB is congruent to ∆ADC . Because,

{ If any two sides and angle included between the sides of one triangle = The corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule. }

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

BD = DC = 3cm.

AD ⟂ BC .

So,

in ∆ADB and ∆ADC, we have,

→ AD = AD (common)

→ ∠ADB = ∠ADC (AD ⟂ BC so, 90°)

→ DB = DC (given both 3cm.)

Thus,

→ ∆ADB ~ ∆ADC (By SAS) { If any two sides and angle included between the sides of one triangle = The corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule. }

Hence, ∆ADB is congruent to ∆ADC .

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Answer:

5(5)-6(3)+20(14)4(3)(14)

25-18+47040

7+47040= 47047

Answer:

4

Step-by-step explanation:

because on my k12 school say so so ya

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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Answer:

Option 1. The mean Arm Span for class A is much lower than Class B's.

Step-by-step explanation:

I hope you will be able to understand from this pic. Actually It's called Stem and Leaf Display.

B. is the ans hope you get a hundred

The width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

An area is a unit of measurement used to describe the size of a region on a planar or curved surface. While a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.

Given:

The initial length of the image, l = 6 inches,

The initial width of the image, w = 4 inches,

The reduced length of the image, L = 4 inches,

The area of the initial image = The area of the reduced image,

l × w = L × W

Here W is the reduced width.

Substitute the values,

6 × 4 = 4 × W

W = 6 inches,

Therefore, the width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

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If the paper is a bond paper, then we need between an amount of 16750 and 22334 folds for a height of 67 inches.

In this problem we need to determine that number of elements in a paper whose folds creates a height to the height of the person. We assume that paper is a bond papel, whose thickness is 0.003 to 0.004 inches. The number of folds is equal to the height of the student in inches divided by the thickness, also in inches.

Let suppose that the height of the student is 67 inches (approx. 170 cm), then the number of papers in a batch with same height is:

n = 67 in / 0.003 in

n = 22334

n = 67 in / 0.004 in

n = 16750

If the paper is a bond paper, then we need between an amount of 16750 and 22334 folds for a height of 67 inches.

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Answer:

.20x = 72, so x = 360

.30(360) = 108

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

3/4 of 5. It equals 3 3/4.

Step-by-step explanation:

The question asks for 3/4 of 5 cups of milk.

Answer:

0.1 or 10

Step-by-step explanation:

set it up and it’s easy 5 times 2 divided by 100

Answer:

5 is 2% of 250

Answer:

C

Step-by-step explanation:

Your welcome! :) Good luck!

El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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Answer:

  B. The graph of K has a greater y-intercept

  D. The graph of J has a greater slope.

Step-by-step explanation:

Given a table for function J and an equation for function K, you want to know which has the greater slope, and which has the greater y-intercept.

The y-intercept is the value of the function when x=0. We see from the table that y=2 corresponds to x=0 for function J.

We see from the equation for function K that the constant is 8. This is the value of y when x=0.

Function K has the greater y-intercept (8 vs. 2).

The slope is the change in y-value when x increases by 1 unit. We see from the table that y=7 when x=1, so the change in y from x=0 to x=1 is 7-2 = 5. The slope of function J is 5.

The equation for function K has an x-coefficient of 3. This means a change in x of 1 unit will result in a change in y of 3 units. The slope of function K is 3.

Function J has the greater slope (5 vs. 3).

Additional comment

Both functions are graphed in the attachment. The y-intercepts have their points labeled. The graph with the steeper slope is the blue line, function J.

Explanation

to find a , we need to isolate it

Step 1

subtract 32 in both sides

Step 2

divide both sides by -8

I hope this helps you

Answer:

\(SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2 \)  

\(SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2 =6750\)  

\(SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2 =8000\)  

And we have this property  

\(SST=SS_{between}+SS_{within}=6750+8000=14750\)  

The degrees of freedom for the numerator on this case is given by \(df_{num}=k-1=4-1=3\) where k =4 represent the number of groups.  

The degrees of freedom for the denominator on this case is given by \(df_{den}=df_{between}=N-K=20-4=16\).  

And the total degrees of freedom would be \(df=N-1=20 -1 =19\)  

We can find the \(MSTR=\frac{6750}{3}=2250\)

And \(MSE=\frac{8000}{16}=500\)

And the best answer would be:

d. 2,250

Step-by-step explanation:

We want to test the following null hypothesis:

\(  H0: \mu_1 =\mu_2 =\mu_3 =\mu_4\)

If we assume that we have \(4\) groups and on each group from \(j=1,\dots,k\) we have \(k\) individuals on each group we can define the following formulas of variation:  

\(SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2 \)  

\(SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2 =6750\)  

\(SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2 =8000\)  

And we have this property  

\(SST=SS_{between}+SS_{within}=6750+8000=14750\)  

The degrees of freedom for the numerator on this case is given by \(df_{num}=k-1=4-1=3\) where k =4 represent the number of groups.  

The degrees of freedom for the denominator on this case is given by \(df_{den}=df_{between}=N-K=20-4=16\).  

And the total degrees of freedom would be \(df=N-1=20 -1 =19\)  

We can find the \(MSTR=\frac{6750}{3}=2250\)

And \(MSE=\frac{8000}{16}=500\)

And the best answer would be:

d. 2,250

Your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 5+4=9

Now, your monthly allowance = 5/9 × 90

= 50

So, your friend's monthly allowance = 90-50 = 40

Therefore, your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

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Answer:

Explained below :)

(I tried my best, sorry if it doesn't make sense.)

Step-by-step explanation:

Example: 1/4 - 1/8= ?

1: Find the common denominator (bottom number)

2: If the common denominator is 8 then you multiply 1/4 by 2/2 to get the denominator of 8. If you needed then you can multiply the other fraction to get the same denominator.

3: Once you get multiply that then you get 2/8 -1/8.

4: Subtract the numerator (top number) 1

5: Keep the numerator (8)

6: Your answer would be 1/8

The error that the manager made was that B. The manager divided 5/4 by 16 instead of dividing 4/5 by 16.

The information illustrates that the project manager is calculating work forecasts and he manager's team completed 4/5 of a job in 16 days.

Therefore, the amount that was done each day will be:

= 4/5 ÷ 16

= 4/5 × 1/16

= 4/80

= 1/20

Therefore, the error that the manager made was that the manager divided 5/4 by 16 instead of dividing 4/5 by 16. This was the reason that he got 5/64.

Therefore, the correct option is B.

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Answer:

1, 3, 9, 27

Step-by-step explanation:

1 times 27 = 27

3 times 9 = 27

9 times 3 = 27

27 times 1 = 27

hope this helps!!!

Answer:

1, 3, 9, 27

Step-by-step explanation:

27 = 3³

The factors of 27 are:

1, 3, 9, 27