Coldwell elementary has a goal to collect 1,500 box tops in 6 months. the pta brought 458 box tops within two weeks. write and solve an inequality to describe how many box tops need to be collected to meet or exceed their goal.

The cost for someone who went on 9 rides is $23.

An equation is a mathematical sentence that has two equal sides separated by an equal sign.

Given that, The cost of admission to an amusement park is $9.50 plus $1.50 per ride.

The equation can be made,

C = 9.50 + 1.50n, where n is the number of rides.

For n = 9

C = 9.50 + 1.50*9 = $23

Hence, The cost for someone who went on 9 rides is $23.

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The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma's house. Therefore, it would be 2 cups and 4 oz leaked out.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma's house.

There are 8 oz in a cup

So,

8 x 3 = 24 which is too high

So,

8 x 2 = 16 leaving about 4 oz left

Therefore, it would be 2 cups and 4 oz leaked out.

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The correct answer is:

C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)

Explanation:

In order to be an exponential function, the y-coordinates of each point should be multiplied by a constant to get the next y-coordinate.  For C, we multiply by 1/2:

1/2(1/2) = 1/4; 1/4(1/2) = 1/8; 1/8(1/2) = 1/16

This means it is an exponential function.

The statement " If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are paralle " is true.

Given:

If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.

We know whenever we have parallel line intersected by transversal line then we Alternate Interior Angle, Corresponding Angle, Alternate Exterior Angle, are congruent.

Thus, the statement showing when we have Alternate Interior Angle congruent then the lines were be parallel lines.

Hence, the statement is True.

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The answer for this question is parallel lines

Answer:

Length

Step-by-step explanation:

mhm

1) The dimensions of the rectangular prism or box which I found are:

2) The shape of the cross-section when the box is cut parallel to the base will be a rectangle.

3) Surface Area of the box is234  in²

4) Surface Area of the box if scaled up by a factor of 10 is  23,400 in²

5) Volume of the box: 180 in³

6) Volume of the box if scaled down by a factor of 1/10 is  0.18 in³

Given:

Dimensions of the box to be:

Length: 6 inches

Width: 2.5 inches

Height: 12 inches (1 foot)

1) The shape of the cross-section when the box is cut parallel to the base will be a rectangle.

2) To calculate the surface area of the box:

Surface Area = 2*(Length*Width + Length*Height + Width*Height)

Surface Area = 2*(6*2.5 + 6*12 + 2.5*12)

Surface Area = 2*(15 + 72 + 30)

Surface Area = 2*(117)

Surface Area = 234 in²

3) If the box is scaled up by a factor of 10, the new dimensions would be:

Length: 6 inches * 10 = 60 inches

Width: 2.5 inches * 10 = 25 inches

Height: 12 inches * 10 = 120 inches

To find the new surface area:

New Surface Area = 2*(60*25 + 60*120 + 25*120)

New Surface Area = 2*(1500 + 7200 + 3000)

New Surface Area = 2*(11700)

New Surface Area = 23,400 in²

4) The volume of the box:

Volume = Length * Width * Height

Volume = 6 * 2.5 * 12

Volume = 180 in³

5) If the box is scaled down by a factor of 1/10, the new dimensions would be:

Length: 6 inches * 0.1 = 0.6 inches

Width: 2.5 inches * 0.1 = 0.25 inches

Height: 12 inches * 0.1 = 1.2 inches

To find the new volume:

New Volume = Length * Width * Height

New Volume = 0.6 * 0.25 * 1.2

New Volume = 0.18 in³

Full Question:

Although part of your question is missing, you might be referring to this full question:

Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.

Complete the following. Show all work for calculations.

List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length:

Width:

Height:


Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?

What is the surface area of the box if it is scaled up by a factor of 10?

What is the volume of the box?

What is the volume of the box if it is scaled down by a factor of 1/10?

Answer:

Weight of full steel bead tire=1.76 pounds

weight of lighter wheel=1.54 pounds.

Step-by-step explanation:

it is given that:

The weight of a full steel bead tire is approximately 800 grams.

lighter wheel weighs only 700 grams.

Now we are given conversion that:

There are 453.592 grams in one pound.

Hence, 1 gram=1/453.592 pounds.

Hence, weight of a full steel bead tire is:

[tex]\dfrac{800}{453.592}pounds=1.76pounds[/tex]

Also weight of lighter wheel in pounds is:

[tex]\dfrac{700}{453.592}pounds\\\\=1.54 pounds[/tex]

// Solve equation [2] for the variable  y  
 

// Plug this in for variable  y  in equation [1]

// Solve equation [1] for the variable  x  

// By now we know this much :

// Use the  x  value to solve for  y  

The machine will deposit 622 feet of lime powder to mark both foul lines on the playing field.

To solve this problem, we need to consider that the line-marking machine is laying down lime powder to mark two equal foul lines on a playing field. Each foul line measures 311 feet.

Since there are two lines of equal length, we simply need to add the lengths of these two lines together to find the total amount of lime powder deposited.

Here is the calculation:

Length of one foul line = 311 feet

Number of foul lines = 2

Total length of lime powder deposited = Length of one foul line [tex]\times[/tex] Number of foul lines

Total length of lime powder deposited = 311 feet [tex]\times[/tex] 2

Total length of lime powder deposited = 622 feet.

Part A)

y = total houses, x = number of years

Neighborhood A  y = 30*(1.20)^x

Neighborhood B : y = 45 +3x

Part B) neighborhood A has : 30 *1.2^5 = 74.65 = 75 houses

             neighborhood B has: 45 +3(5) = 45 +15 = 60 houses

Part C)

30* 1.2^x = 45 +3x =

x = 3.3

check:

30 *1.2^3.3 = 54.75 = 55

45 + 3(3.3) = 45+9.9 = 54.9 =55

 so 3.3 years round to 3 years

Answer:

Part A)

y = total houses, x = number of years

Neighborhood A  y = 30*(1.20)^x

Neighborhood B : y = 45 +3x

Part B) neighborhood A has : 30 *1.2^5 = 74.65 = 75 houses

            neighborhood B has: 45 +3(5) = 45 +15 = 60 houses

Part C)

30* 1.2^x = 45 +3x =

x = 3.3

check:

30 *1.2^3.3 = 54.75 = 55

45 + 3(3.3) = 45+9.9 = 54.9 =55

so 3.3 years round to 3 years

Step-by-step explanation:

Final answer:

To solve the equation 2y+7x=4 for x=5, x=10, and x=15, substitute each value into the equation and solve for y to get y=-15.5, y=-33, and y=-50.5 respectively. It’s important to check the solutions by substituting them back into the original equation.

Explanation:

To solve the given linear equation 2y+7x=4 for different values of x (x=5, x=10, x=15), we need to substitute these values of x into the equation and solve for y. Here’s how it can be done:

put 7.6*10^-4 into the equation:

10log(1/7.6*10^-4)

this equals 31.19 db

Answer:

Step-by-step explanation:

Alright, lets get started.

Distance we can see from the building d is given as 27 miles.

We are asked to find height of the building h

The formula is given as [tex]d=\frac{5}{6}\sqrt{h}[/tex]

Plugging the value of d

[tex]27=\frac{5}{6}\sqrt{h}[/tex]

Cross multiplying

[tex]\sqrt{h}=\frac{6}{5}*27[/tex]

[tex]\sqrt{h}=32.4[/tex]

Taking square root on both sides

[tex]h=1049.76[/tex]

So, the height of the observation desk is 1050 feet.   :   Answer

Hope it will help :)

Answer: 212.54 in3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder: π r² h

Where:

Replacing with the values given:

r = 4.75/2 = 2.375 in

h = 12in

V = π r² h

V= π (2.375)² (12) = 3.14 (5.640625) 12 =212.54 in3

So, the correct option is 212.54in3

Feel free to ask for more if needed or if you did not understand something.

Answer:

24r^2*s*t

Step-by-step explanation:

We can simply the following expression by looking at the which terms are common:

[tex]6*r*s*4*r*t[/tex]

We have two of r and according to the product rule we can add there exponents:

[tex]r*r=r^(1+1)=r^2[/tex]

Therefore the expression can be simplified as:

[tex]=6*4*s*t*r^2=24*s*t*r^2[/tex]