Heather is 8 years older than twice her nephew’s age. If Heather is 22 years old, how old is her nephew?

The area of Jessica's rectangular poster is 27,000 square centimeters.

Given the parameters:

Jessica's rectangular poster has dimensions of 1.8 meters in length and 1.5 meters in width.

To find the area of the poster in square centimeters, we need to first convert the dimensions from meters to centimeters, as the area is measured in square centimeters.

Hence:

Length in centimeters = 1.8 × 100 = 180 centimeters

Width in centimeters = 1.5 meters × 100 = 150 centimeters

Next, we can find the area of the poster in square centimeters:

Area = Length × Width

Area = 180 centimeters × 150 centimeters

Area = 27,000 cm²

Therefore, the area is 27,000 square centimeters.

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Answer:

Required ration which represent the situation = [tex]\frac{-13}{2}[/tex]

Step-by-step explanation:

Given: Cars in parking lot decreases at rate of 13 cars every 2 minutes.

To find: Rational Number which represent given information

Rational Number is a number in form of  [tex]\frac{p}{q}[/tex] where p be any integer and q is non zero integer.

So from given information

No of cars decreases in 2 minutes = 13 cars

So, No of cars decreases in 1 minute = [tex]\frac{13}{2}[/tex]

Therefore rate at which cars decreasing in parking lot is  [tex]\frac{13}{2}[/tex]  cars/min.

Since it is decreasing, ration which represent it must be equal to [tex]\frac{-13}{2}[/tex]

Therefore, Required ration which represent the situation = [tex]\frac{-13}{2}[/tex]

The original vertices of the triangle is at A(4, 4), B(2, 4) and C(3, 1)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Rotation is the rotation of a figure about a point. If point A(x, y) is rotation 180 degrees about the origin, the new point is at A'(-x, -y).

Given the vertices of the final triangle are A'(-4,-4), B'(-2, -4), and C'(-3, -1) after a 180 degrees rotation. Therefore the original vertices of the triangle is:

A(4, 4), B(2, 4) and C(3, 1)

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Answer:

Options A,C and D

Step-by-step explanation:

(4x+5)(-3x-1) = -12x²-19x-5

Option A:

    (-16x² + 10x - 3) + (4x² - 29x - 2) = -12x²-19x-5

    Option A is correct.

Option B:

    3(x - 5) - 2(6x² + 9x + 5) = -12x²-15x-25

    Option B is wrong.

Option C:

    2(x - 1) - 3(4x² + 7x + 1) = -12x²-19x-5

    Option C is correct.

Option D:

    (2x² - 11x - 9) - (14x² + 8x - 4) = -12x²-19x-5

    Option D is correct.

Option E:

    (-15x² + 9x - 10) + (3x² - 10x - 5) = -12x²-x-15

    Option E is wrong.

Option F:

    (4x² - 13x - 7) - (16x² + 9x - 5) = -12x²-22x-2

    Option F is wrong.

Answer:

a nonprofit organization

Step-by-step explanation:

A non profit organization is an organization that works with humanitary goals, and has non profit characteristics, they can not have a profit from their activities, but are able to gather money and to pay wages to their employees, they can also receive donations and are exempted from paying some kind of taxes.

Hello There!

To multiply fractions, you first want to line up the numerator and the denominator together so they line up with each other.

Next, you want to multiply across. This includes multiplying the numerators together and then multiplying the denominators together.

Finally, you want to find the greatest common factor but only if the fraction can be simplified.

That Is How To Multiply Fractions

add the 3 angles together:

 30 + 30 + 30 = 90

 the answer is 90 degrees

The answer on my test said that it's x+x+4=<14

In Apex its A. Exponetial Growth

Answer:

Option A - Exponential Growth

Step-by-step explanation:

Given : [tex]f(x)=\frac{3}{8} (4)^x[/tex]

To find : Identify the type of function given ?

Solution :    

The given function is in the form  [tex]f(x)=ab^x[/tex]

This form is an exponential form in which a is the initial value and b is the growth/decay rate factor.

If we compare the given expression,  [tex]f(x)=\frac{3}{8} (4)^x[/tex]

The initial value is  [tex]a=\frac{3}{8}[/tex]

and the growth/decay rate factor [tex]b=4[/tex]  

Since b>1 then it is a growth factor.

Refer the attached figure below.

Therefore, Option A is correct.

The function  [tex]f(x)=\frac{3}{8} (4)^x[/tex] is an exponential growth function.

To figure out how many 1/8 cups are in a 1/4 cup, we execute a division of fractions. This problem can be rewritten as 1/4 divided by 1/8, then inverted to 1/4 multiplied by 8/1, which equals 2. Therefore, there are 2 1/8 cups in a 1/4 cup.

To find out how many 1/8 cups are there in 1/4 cup, you need to understand concept of fractions and their division. In this case, we want to know how many times 1/8 goes into 1/4.

We could write this as a division problem, 1/4 ÷ 1/8. Division of fractions involves flipping the second fraction (1/8) and multiplying instead. So, 1/4 divided by 1/8 becomes 1/4 multiplied by 8/1.

This results in the fractions giving us 2.

Therefore, there are 2 1/8 cups in a 1/4 cup.

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The decimal -11.16 can be converted into a fraction by placing it over 100 to create -1116/100, which simplifies to -279/25 when divided by their greatest common divisor, which is 4.

To convert the decimal -11.16 into a fraction, we first need to consider the position of the decimal points. Here, there are two digits after the decimal point. Therefore, you can put -11.16 over 100 (as there are two digits after the decimal point) to get a fraction. In this case, the fraction would be -1116/100. However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor. The greatest common divisor of 1116 and 100 is 4. So when you simplify -1116/100, you get -279/25 as the simplest form.

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An expression that represents temperature change per hour is Time = 3 *temperature change.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given, The pace of the temperature decline has been steady. It dropped 15 degrees in 3 hours. Hence

in three hours temperature drops  by 15 degrees

in one hour temperature drops = 15/3 = 5 degrees

Therefore, Time = 3 *temperature change is an equation that shows the temperature change per hour.

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Answer:

can we see an example

Step-by-step explanation:

divide 10 by 8 to get price per battery

10/ 8 =1.25 per battery

 now multiply 1.25 x 6 for total

1.25 * 6 = $7.50 for 6 batteries

Given that eight batteries cost $10, six batteries will cost $7.5

Given that;

If 8 batteries cost $10, 1 battery will be;

1 battery = $10 / 8

1 battery = $1.25

Now, given that;

If 1 battery cost $1.25, 6 batteries will be;

6 batteries = $1.25 × 6

6 batteries = $7.5

Given that eight batteries cost $10, six batteries will cost $7.5.

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The sales tax on the computer is $45.10.

The sales tax (x) on the computer can be expressed by the equation:

x=550×8.2100

x=5.5×8.2

x=45.1