Find the slope.

Carter made a model of a boat. The length of the actual boat is 45 feet. Carter’s model has a length of 7 1/2 inches. What scale

Marysya12 [62]

Answer:

Option C)1 in. = 6 ft

Step-by-step explanation:

Up to know we have the following equality:

45 f = 7 1/2 in

Or what is the same that:

45 f = 7.5 in

If we divide both sides of the equation by 7.5 we will get the equivalence to 1 inch:

45/7.5 f = 7.5/7.5 in

6 = 1 in

So, the correct answer if option C)1 in. = 6 ft

7 0

3 years ago

What is the slope of the line that passes through the points (13,-8) and (-11,4)

pogonyaev

Answer:

- $\frac{1}{2}$

Step-by-step explanation:

Find slope using the slope formula : $\frac{y2-y1}{x2-x1}$

Plug in the given points : $\frac{4- (-8)}{-11-13}$

Add the numbers : $\frac{12}{-11-13}$

Calculate the difference : $\frac{12}{-24}$

Reduce the fraction : - $\frac{1}{2}$

Solution : - $\frac{1}{2}$

3 0

3 years ago

Krispy kritters cereal used to come in a box with a volume of 2,850 cm3. However, the krispy kritters co. Designed a new larger

Stolb23 [73]

Answer:

1335cm³

Step-by-step explanation:

According to the question above,Krispy kritters cereal used to come in a box with a volume of 2,850 cm3. However, the krispy kritters co. Designed a new larger box 22.5 cm wide, 6.2 cm deep, and 30 cm high and we are now asked to find "How many more cubic centimeters will the new box hold than the old box?

Now we are all aware that the volume of a cube or cuboid(since its a box ) is length multipled by width multiplied by the height.

And we were given the new dimensions which are;

12.5cm wide

6.2cm deep and

30cm high

Apply this given figures in the formula above and we have:

V = 12.5 × 6.2 × 30

= 4185cm³( this is the volume of the new box designed by krispy kritters co for their cereal)

Therefore,the difference in volume between the new box and the old box is

4185 - 2850 = 1335cm³

8 0

4 years ago

Kurt’s ending balance on April 30 was $331.36. Add or subtract the items in his check register, shown below, to find his balance

sasho [114]

Answer:

$293.11

Step-by-step explanation:

3 0

3 years ago

Is Integer a Rational Number?

slava [35]

Hey there!

Before we get to know an Integer and Rational Number, we have to know the Real Number system first.

1. What is Real Number System?

Real Number System is very commonly used in mathematics. It is a number system that is "logical", at least when it comes to solving an equation.

But do you know that the Real Number system can be broken into two categorizes? And what are them?

Real Numbers can be broken into these main two categorizes which are:

Irrational Number
Rational Number

These numbers can also be broken into other categorizes as well! Crazy, ain't it? Well that's how maths work!

Anyways, we will skip Irrational Number since it is off-topic and not related to your question. We will talk about Rational Number instead.

2. What is Rational Number?

Rational Number is a number that can be written in fraction form. That is a simple explanation for the Rational Number. Please lecture or note that approximations aren't considered as rational numbers. Even though π ≈ 22/7 which is in fraction form but it is just an approximation which is considered as Irrational Number. Also if infinity/endless decimal can be written in fraction form as well, they are considered as Rational Number too!

Now we know the meaning of Rational Number. But like I said, the Rational Number can be broken into other categorizes which are:

Integers - Whole number or number without fraction or decimal.
Fractions and Decimals that can be written in fraction form.

And Integers can also be broken into:

Negative Integers
Zero
Positive Integers

3. Conclusion and Answer

Since Integers are subset of Rational Number, we can conclude that Integers are Rational Number.

Hope this helps, and let me know if you have any doubts regarding Real Number system.

6 0

3 years ago