The perimeter of Dawna's new flat screen television is 112 inches. The ratio of its length to width is 4:3. Write and solve an algebraic equation to determine the dimensions of the television.

1/2) / (1/15) = x / 1.....1/2 mile to 1/15 hr = x miles to 1 hr

cross multiply

1/15x = 1/2

x = 1/2 * 15

x = 15/2 or 7 1/2 miles per hour

Hope this helps

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The reflection of a function across the x-axis changes the sign of the function. In this case, g(x) = -x - 6 is the correct equation representing the reflected graph.

The correct equation that describes the graph g(x) reflected across the x-axis from f(x) = x + 6 is g(x) = -x - 6. When reflecting a function across the x-axis, the sign of the function changes in the equation. Therefore, g(x) would be obtained by changing the sign for the x-term in f(x).

Answer:

Step-by-step explanation:

Alright, lets get started.

The given is :

[tex]63+?=87[/tex]

Suppose the asked number is x, so

[tex]63+x=87[/tex]

It means we need to find x.

If we subtract 63 from both sides, the give equation will become:

[tex]63+x-63=87-63[/tex]

[tex]x=24[/tex]

So the missing number is 24   :    Answer

To represent this situation, we create the inequality 12x + 15y ≤ 84, where x represents the number of 12 inch boxes and y represents the number of 15 inch boxes stacked.

To represent this situation, we can create an inequality based on the height of the moving van and the heights of the boxes. Let's define variables for the number of 12 inch boxes and 15 inch boxes stacked. Since we want to stack them as high as possible, we want the sum of the heights to be less than or equal to the interior height of the van:

12x + 15y ≤ 84

where x represents the number of 12 inch boxes and y represents the number of 15 inch boxes.

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The number 48 goes into 230 four times if you are counting whole times only. However, the exact answer with decimal places is 4.79.

The question is asking how many times the number 48 goes into the number 230. You can answer this by performing division. If you divide 230 by 48, you get approximately 4.79. However, if you are looking for a whole number answer, 48 goes into 230 four times with a remainder. There would be a remainder because 48 does not evenly go into 230.

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Answer:

What is the question?

Step-by-step explanation:

The result of the expression 17 - 2c is 3, where c = 7.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:

An operator is a symbol used to represent a mathematical operation. Examples include division, multiplication, addition, and subtraction.

Given, an expression 17 - 2c and value of c = 7

The value os expression for c =7

=> 17 - 2*7

=> 17 - 14

=> 3

therefore, The value of the expression 17 - 2c for c = 7 is 3.

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The reciprocal of a number is the number gotten when you flip or invert the fraction. Hence, the reciprocal of 1/9 is 9.

The reciprocal of a number is calculated by flipping, or 'inverting', the fraction. It's essentially interchanging the numerator and denominator. In the case of 1/9, the reciprocal would be 9/1.

To clarify, the reciprocal of 1/9 is 9/1, which simplifies to 9. So, the reciprocal of 1/9 is 9.

The reciprocal of a fraction is obtained by taking the reciprocal of the numerator and denominator. To find the reciprocal of 1/9, we simply invert the fraction. Inverting means swapping the numerator and denominator. So the reciprocal of 1/9 is 9/1 or simply 9.

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Answer:$35.79

Step-by-step explanation:

28.35*6.25%

tax=28.35*0.0625=1.77

28.35+20=5.65

total=30.12

$30.12+5.67

total$35.79

Fraction number is the number which is expressed as a part of a whole.

Tina uses total 6/15 pounds of amount to make the fried rice.

Fraction number is the number which is expressed as a part of a whole. The fraction number are written with numerator and a denominator.

Given information-

Total amount of rice Tina has 3/5 pound.

The amount she used to make the fried rice is 2/3.

As the the amount she has earlier is in the fraction number, and the she made the fried rice with again a fraction amount of the original quantity.

Thus to find the amount she used to make fried rice from the total amount ,we have to multiply the used rice to the total rice.

Suppose she used x amount of rice to make the fried rice from the total rice. Thus,

[tex]x={\dfrac{2}{3}}\times{\dfrac{3}{5}}[/tex]

[tex]x=\dfrac{6}{15}[/tex]

Hence Tina uses total 6/15 pounds of amount to make the fried rice.

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Final answer:

Tina will use 2/5 of a pound of rice to make fried rice. This is determined by multiplying 3/5 (the total amount of rice she has) by 2/3 (the portion she will use) and simplifying the result.

Explanation:

To find out how much rice Tina will use to make fried rice for her family, we start by identifying the amount of rice she has, which is 3/5 pound of rice. Next, we need to calculate 2/3 of that quantity since she will use that fraction for the fried rice. To do this, we multiply 3/5 by 2/3.

First, multiply the numerators: 3 x 2 = 6.
Then, multiply the denominators: 5 x 3 = 15.
So, 3/5 x 2/3 = 6/15.
However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3. Therefore, 6/15 simplifies to 2/5.

The final answer is that Tina will use 2/5 of a pound of rice to make the fried rice.

Answer:

Option 2 is correct .

Step-by-step explanation:

Given : A big cube 5*5 which contains small 25 cubes

Solution :

Let 25 small cubes denotes 100%

So , 1% is denoted by : [tex]\frac{25}{100}[/tex]

So, 24 % is denoted by :

⇒[tex]\frac{25*24}{100}[/tex]

⇒[tex]6[/tex]

Thus to show 24% on 5*5 , 6 small cubes must be shaded .

In Option 2 , 6 small cubes are shaded.

Hence , Option 2 is correct .

Answer:

Option 2 is correct .

Step-by-step explanation:

Given : A big cube 5*5 which contains small 25 cubes

Solution :

Let 25 small cubes denotes 100%

So , 1% is denoted by :

So, 24 % is denoted by :

⇒

⇒

Thus to show 24% on 5*5 , 6 small cubes must be shaded .

In Option 2 , 6 small cubes are shaded.

Hence , Option 2 is correct .

Answer:

Correct option is C

Step-by-step explanation:

we have to tell that in which type of transformation angle are preserved.

Rotation:

This transformation turns a figure about a fixed point and the fixed point is known as the centre of rotation. The figures which goes through rotation has same angle as that of original figure.

i.e Rotation transformation preserves angle.

Reflections:

This transformation flip a shape over a line.

Angles also preserve in this type of transformation.

Translations:

This transformation involves sliding a shape. The figure only translate right left i.e shape or angle preserve i.e not changed.

Hence, the angles are preserve in in all three type of transformations that are rotation, reflection and transformation.

∴ Correct option is C

All three types of transformations (rotations, reflections, and translations) preserve angles, making the correct answer C. I, II and III.

The question is about determining which types of transformations preserve angles.

There are three main types of transformations to consider: rotations, reflections, and translations.

Angle Preservation in Transformations

Because all three types of transformations (rotations, reflections, and translations) preserve angles, the correct answer is C. I, II and III.