Whatcha number produces a rational number when added to 0.5

Answer:

r=28

Step-by-step explanation:

36/42 = 24/r (determine the defined range)

36/42 = 24/r , r ≠ 0 ( Reduce the fraction)

6/7 = 24/r (cross multiply)

6x = 168 ( divide both sides)

r=28 , r ≠ 0

Answer:

r = 28

Step-by-step explanation:

Cross multiply and solve for r:

[tex]\frac{36}{42}[/tex] = [tex]\frac{24}{r}[/tex]

36r = 1008

r = 28

So, r = 28

Answer:

y=−2x+6

Step-by-step explanation:

the equation of a line in slope-intercept form is. y=−2x+6 is the equation.

Answer:

0.1 % first question

0 second question

Answer:

[tex]m\angle WZY = 24^\circ[/tex]

Step-by-step explanation:

Angles and Lines

The figure shows two triangles WXZ and WYZ. Considering:

* Angles WXZ and WYZ are right (90°)

* Sides XW and YW are congruent (red marker on both)

* They share the side WZ.

We can conclude they are congruent. Thus, angles XZW and YZW are congruent or have the same measure:

5x + 4 = 6x

Subtracting 5x:

4 = x

Or, x =4

Thus:

[tex]m\angle WZY = 6x = 24^\circ[/tex]

[tex]\mathbf{m\angle WZY = 24^\circ}[/tex]

1.) [tex]\frac{2n-3}{5} = 5[/tex]

/ 5          /5

(2n - 3) = 1

      +3     +3

2n = 4

/2      /2

n = 2    <--- your answer

Answer:

Football player= -5

Number line= -23

Step-by-step explanation:

Loss means negative

Left on a number line is subtraction

Answer:

x=11

Step-by-step explanation:

Using the Exterior Angle Theorem. . .

(3x+8) + (2x+9) = (8x-16)

Solve to get x = 11

Given:

A line AB joins the points A (3,4) and B (5,8).

To find:

The midpoint of the line AB.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is

[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]

[tex]Midpoint=\left(4,6\right)[/tex]

Therefore, the midpoint of the line AB is (4,6).

Answer:

similarity

Step-by-step explanation:

look , dude

the two triangles have the following features:

the angle B= angle C = 90 degree

the angle A= the angle F

so  the third angle in the first triangle = the third angle in the second triangle

so you have one condition of similarity which is the three angles are equal

to get the answer for lengths :

ab/fe= constant of proportionality

thus ab/fe=2.5/5=.5

so ac/13=.5 thus ac=6.5

and 6/de=.5 so de=12

Both similarity and Pythagorean theorem can be used to find the missing lengths as AC = 6.5 and DE = 12.

Similar triangles are those triangles which has the same shape but different size.

The length of sides and angles are proportional in similar triangles.

Pythagorean theorem states that for a right angled triangle,

Hypotenuse² = Base² + Altitude²

AC² = BC² + AB²

AC² = 6² + 2.5²

AC² = 42.25

AC = √(42.25) = 6.5

Similarly,

DF² = DE² + EF²

13² = DE² + 5²

DE² = 13² - 5²

DE² = 144

DE = √(144) = 12

If we are using the concept of similarity, ratio of corresponding sides are equal for similar triangles.

AB / EF = BC / DE = AC / DF

2.5 / 5 = 6 / DE = AC / 13

Consider 2.5 / 5 = 6 / DE

Then DE = (6 × 5) / 2.5 = 12

Consider AB / EF = AC / DF

2.5 / 5 = AC / 13

AC = (2.5 / 5) × 13 = 6.5

Hence the missing lengths are AC = 6.5 and DE = 12.

To learn more about Similar Triangles, click :

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Answer:

c transportation

Step-by-step explanation:

Answer:

1.00000734E15

Step-by-step explanation:

Answer:

1.000001343 x 10^15

Step-by-step explanation:

Please gimme brainliest

Answer:

3

Step-by-step explanation:

I have showed the steps in the attached image.

Answer:

1880... good luck.. have a grate day

Answer:

11.5

Step-by-step explanation:

Find new values:  

140(1+0.05)=147  

68(1+0.25)=85

Last Year This Year

Boys 140 147

Girls 68 85

Total 208 232  

Find overall increase:  

208(1+r)=232

1+r=1.115385  

r=0.115385

Final Answer: 11.5%

The total number of students on the honor roll increased by 11.5%.

The percentage is defined as a ratio expressed as a fraction of 100.

The percentage increase in the number of boys on the honor roll is 5%, which means that the number of boys on the honor roll this year is 1.05 times the number of boys on the honor roll last year:

1.05 x 140 = 147

The percentage increase in the number of girls on the honor roll is 25%, which means that the number of girls on the honor roll this year is 1.25 times the number of girls on the honor roll last year:

1.25 x 68 = 85

Therefore, the total number of students on the honor roll this year is:

147 + 85 = 232

The percentage increase in the total number of students on the honor roll is:

((232 - 208) / 208) x 100% = 11.5385%

Rounding to the nearest tenth gives an answer of 11.5%.

Therefore, the total number of students on the honor roll increased by 11.5%.

Learn more about percentages here:

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Answer:The coordinates of point A are (-1, 2).

Step-by-step explanation:

Edge

Answer:

-1/2

Step-by-step explanation:

yes

Answer:

Properties of operations help a lot in solving problems related to integers and rational numbers. Step-by-step explanation: ... These properties are used to solve problems involving rational numbers as well as integers. These properties are associative,commutative, distributive and identity.

Step-by-step explanation:

pls give me brainliest

Answer:

5

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

Cary is wrong

Step-by-step explanation:

4* (6-4)= 4* 2=8

I think it is saying (8*2) divided by to, which in that case is 8,

but if it is asking 8 (2/2) then that would also be 8 I believe. I really hope this is correct and you have a great day :)

Answer:

Cary is inncorrect. It is 4.

Answer:

porcupine

Step-by-step explanation:

6300g = 6.3 kg

Step-by-step explanation:

the porcupine has more mass

Answer:

x = 6

Step-by-step explanation:

According to Exterior Angle Property of a triangle , measure of an exterior angle is the sum of its opposite interior angles.

Using the exterior angle property ,

[tex]17x - 23 = 3x + 17 + 8x - 4[/tex]

[tex] = > 17x - 23 = 11x + 13[/tex]

[tex] = > 17x - 13x = 23 + 13[/tex]

[tex] = > 6x = 36[/tex]

[tex] = > x = \frac{36}{6} = 6[/tex]

Answer:

Below.-

Step-by-step explanation:

Because when a negative is taken to an even power the results is positive.

So (-3)^24 is positive as 24 is even, and is the same as 3^24,  and so the whole expression

10 * (-3)^24 = 10 ^ 3^24.

Answer:

[tex]S_g= 33.333cm[/tex]

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

    [tex]S_g=\frac{a(1-r^n)}{1-r}[/tex]

Mathematically solving for total distance traveled we have

    [tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]

    [tex]S_g=\frac{30}{0.9}[/tex]

Therefore the total distance traveled  by the pendulum after 5 swings

    [tex]S_g= 33.333cm[/tex]

Answer:

900°

Step-by-step explanation:

What is the sum of the measures of the interior angles of a 7-gon?

The formula to measure the interior angles of a polygon

= (n- 2) × 180 °

Where,

n = number of sides

We are given 7 - gon

This means it has 7 sides = Heptagon

Hence,

The measure of the interior angle is given as:

(7 - 2) × 180°

= 5 × 180°

= 900°

The sum of the interior angles of a 7-gon is 900°

Answer:

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