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Answer:

10

Step-by-step explanation:

A rational number is 9.

When you multiply 0.9x10 you get the sum of 9.

9 is a rational number because it is a perfect square and an integer.

I hope this helps you understand :)

Answer:

y= 2x -3

Step-by-step explanation:

Let's rewrite the given equation into the form of y=mx+c, so that we can find the gradient of the line. In this form, m (coefficient of x) is the gradient.

4x -2y= 3

2y= 4x -3

Divide by 2 throughout:

[tex]y = 2x - 1 \frac{1}{2} [/tex]

Thus the gradient is 2.

Parallel lines have the same gradient thus the line would also have a gradient of 2.

Substitute m=2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x=2, y=1,

1= 2(2) +c

1= 4 +c

c= 1 -4

c= -3

Thus, the equation of the line is y= 2x -3.

Answer:

You can’t determine that.

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

<1 and the 142-deg angle are vertical, so m<1 = 142 deg

The angle measuring 3x + 2 and <1 are same-side interior angles. If the lines are parallel, then those two angles are supplementary.

3x + 2 + 142 = 180

3x + 144 = 180

3x = 36

x = 12

Answer:

Steve had an average speed of 62.55 mph while Mary had an average speed of 67.55 mph

Step-by-step explanation:

Here, we want to calculate the average speed of each of the two.

From the question, we are told that Mary drove an average of 5 mph faster than steve.

So, let the average speed of Steve be x mph, this means that the average speed of Mary will be (x + 5) mph

Mathematically;

Time = distance/speed

Time taken by Steve = 845/x hours

Time taken by Mary = 845/(x + 5)

But Mary took an hour less to complete her own trip;

This means that;

if we add one hour to the time spent by Mary, then we will have the time spent by Steve

845/(x + 5) + 1 = 845/x

845/(x + 5) = 845/x -1

845/(x + 5) = (845 - x)/x

Cross multiply;

845(x) = (x + 5)(845-x)

845x = x(845-x) + 5(845-x)

845x = 845x-x^2 + 4225 - 5x

x^2 + 5x - 4225 = 0

We can solve this using the quadratic formula;

x = -b ± √(b^2 - 4ac)/2a

where a = 1 , b = 5 , c = -4225

x = -5 ± √(5^2 - 4(1)(-4225)/2(1)

x = -5 ± √(25 + 16,900)/2

x = -5 ± √(16,925)/2

x = (-5 + 130.1)/2 or (-5-130.1)/2

We ignore the negative side as speed cannot be negative

x = (-5 + 130.1)/2 = 62.548 which is approximately 62.55 mph

So steve’s speed is 62.55 mph while Mary’s speed = 62.55 + 5 = 67.55 mph

Answer:

Option (C)

Step-by-step explanation:

Option A.

"Angles at the same side of the transversal are supplementary".

But the angles given are not on the same side of the transversal.

Option B.

"Alternate interior angle are congruent"

These angles are not the interior angles.

Option C.

"Alternate exterior angles are congruent"

Both the angles are alternate and exterior angles.

Therefore, Option (C) is the correct option.

Option D.

"Corresponding angles are congruent"

These angles are not the corresponding angles.

Answer:

C

Step-by-step explanation:

Answer: E: The number of books a person finished reading last month

Step-by-step explanation:

First, a discrete variable is a variable that only can take some given values in a set, the discrete variables are usually not dense, and a continuous variable is a variable that can take any value in a range (where the accepted values are dense).

So, for example, the set of the natural numbers is discrete, and the set of the real numbers can represent a continuous variable.

Here the only option that is really discrete will be the number of books that a person finished reading last month because here only positive whole numbers are accepted (you can not finish a 0.454 of a book)

The other options are continuous because all are classical measures.

For example, the weight of a person can jump between:

75.6kg and 75.7kg.

So you could think that this is discrete because the values between 75.6kg and 75.7g are not shown with our measuring device, but those will be added in the error of the measure because the weights between 75.6kg and 75.7kg are actually possible, so they must be accepted.

Option E is right.

A. The height of a person. Height is a continuous variable.

B . The weight of a person. Weight is a continuous variable.

C. The length of a person’s arm span. Length is a continuous variable.

D. The time it takes for a person to solve a puzzle. Time is a continuous variable.

E. The number of books a person finished reading last month. The number of books is discrete variable.

Learn more: https://brainly.com/question/11315571

Answer:

a = -3

Step-by-step explanation:

3a - 6a + 2 = 8a + 20 - 5a

Combine Like Terms

-3a + 2 = 3a + 20

       -2            -2

-------------------------------------

-3a = 3a + 18

-3a  -3a

-------------------------------------

-6a = 18

----   ----

-6     -6

a  =  -3

Answer:     A is located at (3,4)      B is located at (2,1)

Step-by-step explanation:

Answer:

287/9

Step-by-step explanation:

so the formula is a=1/2bh

A=287

B=?

H=18

:287=1/2b*18

287=b*9

b=287/9

Answer:

x=8

Step-by-step explanation:

I-4xI=32

4x=32

4x÷4 → 32÷4

=8 →x=8

Answer:

0.375

Step-by-step explanation:

Answer:

0.375.....................

Answer:

D. 8 cm

Step-by-step explanation:

Given :

Let the length of the arc be = l

radius of the arc, r = 2 cm

degree of angle subtended at the center by the arc, θ = 4 radian

Now we know that the angle subtended by an arc at the center of the circle whose radius is 2 cm will be,

θ = l/r

Therefore, we can write,

l = θ x r

l  = 4 x 2

  = 8 cm

So the length of the arc is 8 cm.

Answer:

13 + 5 into 6 Y equal y10 6 into 5 equal why into 13

Answer:

Step-by-step explanation:

From the standard normal distribution tables it is -0.524.

The value of Z score for P 30 is - 0.524

Z score is the value that relates the data with the mean of the data , A ,0 ,  Z score means the data point is equal to the mean.

It is given to find

the z score that corresponds to P 30%

From the standard normal distribution table the value corresponding to 30 % is -0.524.

Therefore the value of Z score for P 30 is - 0.524

To know more about Z Score

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Answer:

0.93m

Step-by-step explanation:

Convert 480 mm to m

480mm x (1m/1000mm) = 0.48m

Convert 45 cm to m

45cm x (1m/100cm) = 0.45m

Add the two numbers up

0.48m + 0.45 m = 0.93 m

Using basic operations, it is found that you have 12 eggs.

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A similar problem is given at https://brainly.com/question/24459209

Answer:

What care is accelerating? I can't even see the answer choices-_-

Step-by-step explanation:

Answer:

The original price was $40

Step-by-step explanation:

let x = original price

34= 0.85x

Divide both sides by 0.85

34/0.85 = x

40 = x

Check:

0.15 × 40 = 6

40 – 6 = 34

Answer:

0.54 as a fraction is 54/100

4.18 as a mixed number is 4 18/100

0.51 as a fraction is 51/100

it would be really cool if you could mark me as brainliest :)

Step-by-step explanation:

Step-by-step explanation:

[tex]4 + \frac{2}{3} = \frac{3 \times 4 + 2}{3} = \frac{14}{3} = 4 \frac{2}{3} [/tex]

[tex] \frac{67}{71} \times \frac{381}{399} = \frac{67 \times 381}{71 \times 399} = \frac{25527}{28329} = \frac{8509}{9443} [/tex]

[tex] \frac{684}{795} \div \frac{24}{37} = \frac{684}{795} \times \frac{37}{24} = \frac{25308}{19080} = 1.33[/tex]

Answer:10.546

Step-by-step explanation:

0.76+9.786=10.546

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation

Answer:

Easy, 4 units

Step-by-step explanation:

Step-by-step explanation:

π ∫₀¹ x² dx

This integral is obtained using disk method.  Each disk has a volume of V = πr²t, so the radius is r = x.

The region is 0 ≤ y ≤ x, 0 ≤ x ≤ 1.

Revolved around the x-axis, the resulting shape is a cone.

If the shape were a paraboloid, the integral would have been:

π ∫₀¹ (x²)² dx

π ∫₀¹ x⁴ dx

Answer:

Step-by-step explanation:

It’s 14/5 lol