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2 years ago

A certain number line uses 20 spaces between consecutive integers.

Mathematics

1 answer:

noname [10]2 years ago

5 0

Answer:

Distance between two consecutive tick marks is 0.05 units.

Step-by-step explanation:

We are given the following information in the question:

It is given that there are 20 ticks between two consecutive number.

Let n and n+1 be the consecutive number.

Formula:

Distance between two ticks =

$\displaystyle\frac{\text{Difeerence between the numbers}}{\text{Number of ticks}}\\\\= \frac{(n+1)-n}{20} = \frac{1}{20} = 0.05$

Thus, distance between two consecutive tick marks is 0.05 units.

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Ratio And Rates. Each ratio or rate needs to be a fraction in simples terms 1. 30 ft. To 60.Ft 2. 51 males to 21 females 3. 1,50

otez555 [7]

Given:

The ratio and rates:

1. 30 ft. To 60.Ft

2. 51 males to 21 females

3. 1,500 meters in 6 seconds

4. $36 for 4 rounds of shrimp

To find:

The fraction in simple terms for the given ratio and rates.

Solution:

1. 30 ft. To 60.Ft

$\dfrac{30\text{ ft}}{60\text{ ft}}=\dfrac{1}{2}$

2. 51 males to 21 females

$\dfrac{51}{21}=\dfrac{17}{7}$

3. 1,500 meters in 6 seconds

$\dfrac{1500\text{ meters}}{6\text{ seconds}}=250\text{ meter/second}$

4. $36 for 4 rounds of shrimp

$\dfrac{\$ 36}{4}=\$ 9\text{ per round of shrimp}$

4 0

3 years ago

List one pair of vertical angles.

guajiro [1.7K]

Answer:

1 and 4, 2 and 3, 5 and 8, 6 and 7

Step-by-step explanation:

Any of those would work

6 0

2 years ago

I’ve saved £264. I will spend 3/12 of this. How much do I have left?

lara [203]

Hi there! The answer is £198.

If you spend 3 / 12 of a certain amount of money, you have 9 / 12 of the money left.

Simplify the fraction.
9 / 12 = 3 / 4.

To find the amount of money left, we multiply this factor by 264. We get the following
£264 × 3/4 = £264 × 0.75 = £198

Therefore the answer is £198

7 0

3 years ago

The question is on the picture

stich3 [128]

A and C

**************************************************************************************************

6 0

3 years ago

1) What does the equation x = 4 represent in R^2? a) a circle.b) a plane.c) a line.d) a pointWhat does it represent in R^3? a) a

Sunny_sXe [5.5K]

Answer:

The equation $x=4$ represents in R^2 c) a line

The equation $x=4$ represents in R^3 a) a plane

The equation $y+3x=2$ represents in R^3 a) a plane

The equation $z-4y=8$ represents d) a plane

The pair of equations $y=2,z=8$ represents a) a line

Step-by-step explanation:

Let's start by studying each question :

In R^2 , $x=a$ with $a$ ∈ IR is the equation of all vertical lines

In this case, the only free variable is the variable ''y''

R^2 has two dimensions (x and y) so if we set $x=4$ we will have only one free variable in R^2 (which is a line in R^2). Therefore, $x=4$ represents a line in R^2

Now, in R^3 we have three dimensions (x, y and z) so if we set $x=4$ we will have only two free variables (y and z) and $x=4$ will represent a plane (which have two dimensions) in R^3.

2) The equation $y+3x=2$ in R^3 has the free variable ''z'' and given that we select a value (for example for ''x'') the another value from the variable ''y'' is determined. Finally, we have the free variables ''z'' and ''x'', and the variable ''y'' restricted for our choice of the variable ''x''.

The equation $y+3x=2$ in R^3 (given that we have two free variables) represents a plane.

Using the same reasoning, the equation $z-4y=8$ represents a plane (given that it has two free variables : ''y'' and ''x'')

Finally, the pair of equations $y=2,z=8$ set values for ''y'' and ''z'' leading us ''x'' as the free variable. With only one free variable we will have a ''one dimensional'' geometric form. The one dimensional forms in R^3 are lines.

The final answer is a) a line.

5 0

2 years ago