Which of the following is an appropriate unit of measure to express the length of a width of a window?

The slope represents the ratio of rise to run. Let p be the minimum length of the ramp, we can set a ratio equation as follows. Then,

The minimum length of the ramp needed is 18 feet to access to a door that is 1.5 feet above the sidewalk.

we are asked to find the area of a rectangle, which can only be found by finding the relation between length and width. Now, letting x represent the width, then

Length of rectangle=(x+2)

Width of the rectangle= x

Area of the rectangle, A= Length*width=(x+2)*x

A=x(x+2)

Therefore, the area of the rectangle becomes x(x+2).

We are given the equation:

6x−5=10x+15

Step 1: Move all xxx-terms to one side

Subtract 6x from both sides:

−5=10x−6x+15

Step 2: Move constants to the other side

Subtract 15 from both sides:

−5−15=4x

−20=4x

Step 3: Solve for x

Divide both sides by 4:

x=−20/4 = −5

This problem asks us to compare the number of dimes to nickels.

If we let p be number of pennies in the bottle. Then,

Number of quarters in the bottle = 4p

Number of nickels in the bottle = 2p

Number of dimes in the bottle =7(2p)=14p

To find the number of dimes the child has than nickels, we use the ratio:

\(\frac{Dimes}{nickels} =\frac {14p}{2p}\ =\ 7\)

Thus, there are 7times as many dimes as nickels in the box.

we are tasked to find the number of cups of flour that will be used to make 90 cookies.

This is a proportion equation, and letting x be the number of cups of flour we set the equation as follows:

Solve the value of x by cross-products

Next, we convert the mixed fraction into improper fraction in order to carry out multiplication

The baker needs 15.75 cups of flour to make 120 cookies.  15.75 in mixed fraction is  

we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:

Thus, 0.65 L is 650 mL.

A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change inbrand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.

An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, x is variable that is changed to obtain the desired outcome, F(x). Therefore, x is an independent variable.

To simplify this expression, we follow the order of operations as follows:

First, we start with the numerator and solve it as follows

[2(6+3*9)]

We start with multiplication in inner brackets, 3 * 9 = 27. The expression becomes

[2(6+27)]

Then, we carry out the addition of 6+27=33. Then, the expression yields

[2(33)]=2*33=66

Now, we solve for denominator, which is 6/2=3.

Thus, the expression is reduced into

The expression reduces into 22.

we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.

The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.