Now that you’ve created your hypotheses, it’s time to prove them. First, look at the sum of two rational numbers. Let’s say they are two rational numbers, x and y. Because they’re rational, they can be written as a ratio of integers. Let x = and y = , where a, b, c, and d are integers and b and d do not equal 0. The process for finding the sum x + y in terms of a, b, c, and d is shown. Statement Reason substitution Create common denominators. Simplify. Based on this sum and using the closure property of integers, what conclusion can you make about the sum of two rational numbers? Explain your answer.

Answer:

217

Step-by-step explanation:

I hope this helps!

Answer:

It is impossible becuase it would not eqaul the numbers a regular triangles would have. A triangle has to equal a certain number and this number does not make a traingle.

Reason 1: The hypotenuse is invalid, because 44^2 does not equal 12^2 + 31^2.

Reason 2: The angles measures do not correlate properly to their assigned letter sides (at least to me). Additionally, 30 degrees just doesn't make any sense from a logical standpoint.

Answer:

Kite

Step-by-step explanation:

Def of kite has no parallel sides

Answer:

Step-by-step explanation:

Each of them do not have any parallel lines or sides

Answer:

11 (positive)

Step-by-step explanation:

Answer:

e=11

Step-by-step explanation:

3(2e+5)+8(1-e)=1

6e+15+8-8e=1

-2e+23=1

-2e=-22

e=11

Answer:

31°

Step-by-step explanation:

If ∠dab=55° and ∠cab=24° and ∠cab+∠dac=∠dab then all you need to do is subtract 55° and 24° to get 31°

Answer:

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

Answer:

10

Step-by-step explanation:

For an odd number of values, the median is the middle value when you write the values in ascending order.

5, 7, 9, 10, 16, 17, 20

The median is 10.

Answer:

The maximum value of the table t(x) has a greater maximum value that the graph g(x)

Step-by-step explanation:

Hope this helps :P

Answer:< B = 15°

Step-by-step explanation:

If m\angle A=(x+16)^{\circ}∠A=(x+16)​​ and m\angle B=(3x-14)^{\circ}∠B=(3x−14), then find the measure of \angle A∠A.

Answer:

percentage = 78.54%

Step-by-step explanation:

The area of a square of side length x is:

[tex]A_s=x^2[/tex]

The area of a circle of radius r is:

[tex]A_c=\pi r^2[/tex]

The goat is tied to a pole at the center of a square of a side length of x=20 cm.

The area of the square is:

[tex]A_s=20^2[/tex]

[tex]A_s=400~m^2[/tex]

The rope is 10 m long. The goat is able to graze an area of:

[tex]A_c=\pi 10^2[/tex]

[tex]A_c=100\pi~m^2[/tex]

(i)

Since the diameter of the circle (20 m) is equal to the length of the square, the area of the circle is contained in the square and the area of the square not grazed by the goat is:

[tex]A = A_s-A_c=400~m^2-100\pi~m^2[/tex]

[tex]A=100(4-\pi)~m^2[/tex]

Calculating:

[tex]A = 85.84~m^2[/tex]

(ii)

The percentage can be calculated as:

[tex]\displaystyle \frac{A_c}{A_s}*100=\frac{100\pi}{400}*100=25\pi[/tex]

Calculating:

percentage = 78.54%

Answer:

good for her / him but uh whats the question

Answer:

5572.5 or 5573 inches

Step-by-step explanation:

First of all, the formula is 4/3(pi)r^3

So 4/3(3.14)11^3

So then 5572.5 or 5573 inches

Answer:

C: 4cm, 8cm, 8cm

Step-by-step explanation:

The isosceles triangles have two sides that are the same.

hope this helped

bye

Answer:

C: 4cm, 8cm, 8cm

Step-by-step explanation:

bc i know it i think this the answer

Answer:

here you go this is for confirmation

Step-by-step explanation:

pencil, paper, ruler

Draw:-[tex]\begin{align*}\triangle ABC\end{align*}.[/tex] Label the vertices.

[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{AB}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{BC}\end{align*}. \begin{align*}X\end{align*} and \begin{align*}Y\end{align*}[/tex] can be anywhere on these sides.

Draw:-

a second triangle,[tex] \begin{align*}\triangle DEF\end{align*}.[/tex] Label the vertices

Draw:-

[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{DE}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{EF}\end{align*} AND \begin{align*}\overline{XY} \ || \ \overline{DF}\end{align*}.

Is \begin{align*}\triangle XEY \sim \triangle DEF\end{align*}? Why or why not? Measure \begin{align*}DX, XE, EY,\end{align*} and \begin{align*}YF\end{align*}. Then set up the ratios \begin{align*}\frac{DX}{XE}\end{align*} and \begin{align*}\frac{FY}{YE}\end{align*}.[/tex] Are they equal?

Answer:

y-intercept occurs when x = 0

19x + 8y=7​

19*0 + 8y = 7

y -intercept = (0, 7/8)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given equations are 5x+3y=210 and x+y=60.In the equation suppose the number of boxes of chocolates is x and the number of boxes of caramels is y.

The cost of each chocolate box is $5 and the cost of each caramel box is $3 so the total cost of the chocolate boxes is the sum of the total cost of both chocolate boxes.

5x+3y=210

The total number of chocolate boxes will be expressed as:-

x + y = 60

Therefore the correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ2

Answer:

0.4

Step-by-step explanation:

→ Convert fraction to a denominator of 100

10 / 25 ⇔ 40 / 100

Answer:

0.4

Step-by-step explanation:

An easy way to do this is to get the fraction over 100

So, multiply the fraction by 4 (because 25*4=100)

then you get 40/100 which is 0.4 in decimal form

Answer:

[tex] \blue{\boxed{\star \boxed{\bold{\large{7x + y = 26}}}\star}}[/tex]

Step-by-step explanation:

y + 2 = - 7 (x - 4)

y + 2 = - 7x + 28

y + 7x = 28 - 2

7x + y = 26

y = 26 - 7x ✔

Answer:

169

Step-by-step explanation:

Answer:

b=-2(3x-xa-a)/a

Step-by-step explanation:

2x(3-a)=a(2-b)

6x-2xa=2a-ab

b=-2(3x-xa-a)/a

You can simplified to top because im a little lazy, sorry

Answer:

3.568 < 3.577

Step-by-step explanation:

3.568 < 3.577

So 3.577 is greater than 3.568

Answer:

x = 85/60 or 17/12

Step-by-step explanation:

4/5 - 3/10 = x + 11/12

=> 8/10 - 3/10 = x + 11/12

=> 5/10 = x - 11/12

=> x - 11/12 = 5/10

=> x = 5/10 + 11/12

=> x = 5 * 6 / 10 * 6 + 11 * 5 / 12 * 5

=> x = 30 / 60 + 55/60

=> x= 85/60

If my answer helped, kindly mark me as the brainleist !!

Thank You!!

Answer:

maybe -5

Step-by-step explanation:

4/5-3/10=x+11/2

1/2-11/2=x

-10=2x

x=-5

Answer:

Step-by-step explanation:

From the first question:

We are to find PV of the annuity.

Using the formula:

Present value of Annuity  = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)

Where , Annuity Amount = $4,000            

n = No. of periods = 7 years × 4 quarters per year = 28 periods but since the first payment is at beginning of the quarter, Then, n = 27 when considered for PVAF

r  = 6.2% / 4 quarters = 1.55%,

PVAF(n0,r) when first payment is at beginning of n i.e. n0 = 1 + { [1-(1+r)^ -n0 ]/r }

= 1 + { [1-(1+0.0155)^ {-27}]/0.0155 }

= 1 + [ (1 - 0.66015 ) ] / 0.0155]

= 1 + 21.926

= 22.926

PVAF(28,1.55%) = 22.926

Thus , Present Value of Annuity = $4,000 × 22.926  = $91704.00

2. Present value of Annuity due = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)

Present Value of Annuity  = $90,000

n = No. of periods = 7.5 years × 4 quarters per year = 30 periods

r  = 5.4% / 4 quarters = 1.35%,

PVAF(n,r) = [1-(1+r)^-n]/r

PVAF(n,r) = [1-(1+0.0135)^ -30]/0.0135

PVAF(30,1.35%) = (1 - 0.6688)/0.0135

PVAF(30,1.35%) = 0.3312/0.0135

PVAF(30,1.35%) = 24.53

Hence ;

$90,000 = Annuity Amount × 24.53

Annuity amount = $90,000/24.53 = $3,668.48

Answer:

25

Step-by-step explanation:

16+9

Answer:

The correct should be 25.

Step-by-step explanation:

If this is incorrect let me know and I will correct it.

Answer:

6 years

Step-by-step explanation:

i used a proportional approach

2 (the double)/ 4 years (the time it takes to double)

then compared it to

3(the triple)/ x amount of years

(like this)

[tex]\frac{2}{4} \ \frac{3}{x}[/tex]

then cross multipled

4 times 3= 12

then divided the 12 by the remaining 2 above the 4

Answer:

3.5x

Step-by-step explanation:

3.5(x)=3.5x

Answer:

A

Step-by-step explanation:

X can only have 1 input buy Y can have many