Why are the solutions to the proportions StartFraction 50 over x EndFraction = StartFraction 10 over 20 EndFraction and StartFraction 10 over 50 EndFraction = StartFraction 20 over x EndFraction the same?

Answer:

a) 4, 7, 12, 19

b) 2, 8, 18, 32

Step-by-step explanation:

Sequence is just number line sir, so to begin with you get n=1, then n=2, then n=3, then n=4, these are the first 4 terms

Answer:

a) 4, 7, 12, 19

b) 2, 8, 18, 32

Step-by-step explanation:

In order to find the first 4 terms, you have to substitute 1 to 4 into n for both expressions :

[tex]a) {n}^{2} + 3[/tex]

[tex]1st \: term \\ {1}^{2} + 3 = 4[/tex]

[tex]2nd \: term \\ {2}^{2} + 3 = 7[/tex]

[tex]3rd \: term \\ {3}^{2} + 3 = 12[/tex]

[tex]4th \: term \\ {4}^{2} + 3 = 19[/tex]

[tex]b)2 {n}^{2} [/tex]

[tex]1st \: term \\ 2( {1}^{2} ) = 2[/tex]

[tex]2nd \: term \\ 2( {2}^{2} ) = 2(4) = 8[/tex]

[tex]3rd \: term \\ 2( {3}^{2} ) = 2(9) = 18[/tex]

[tex]4th \: term \\ 2( {4}^{2} ) = 2(16) = 32[/tex]

Answer:the answer is 2 it will take jasmine 3hrs to travel 135 miles

Step-by-step explanation:

Answer:

AC=22

AB=11

BC=33

Step-by-step explanation:

[tex]2(3x - 4) = 2x + 12 [/tex]

6x-8=2x+12

12+8=6x-2x

20=4x

x=5

∴AC=2(5)+12=22

∴AB=3(5)-4=11

∴BC=7(5)-2=33

Answer:

it is longer than 1/3

Step-by-step explanation:

Answer:

x = 3

y = -1

Step-by-step explanation:

→You can use the elimination method. To do this you must have either the x or y-values have the same value, but opposite signs. For this, we can choose y:

4x + 2y = 10

5x + 3y = 12

→Multiply (4x + 2y = 10) by -3, and (5x + 3y = 12) by 2:

-12x - 6y = -30

10x + 6y = 24

____________

-2x = -6

→Divide both sides by -2:

x = 3

→Plug in 3 for x into an equation:

4x + 2y = 10

4(3) + 2y = 10

12 + 2y = 10

2y = -2

y = -1

Answer:

46=-76.333(6×7)-÷45%€7*÷00.0001×6÷45+2

Answer:

[tex]g^{-1}(x)=-\frac{3}{2}(x+5)[/tex]

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]

[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]

[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]

Solution; Probability ≈ 0.1071

Answer:

The probability is 0.107

Answer:

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

Step-by-step explanation:

The graph of y = sin(x) is a wave that keeps oscillating between -1 and 1, and repeats its shape every 2π units. The maximum value of the graph is 1 unit with a range of [-1, 1]

The graph of y = sin(x) is referred to as a periodic function because it repeats itself infinitely.

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

Answer:

to make a number a percentage you have to multiply by 100%.Mmmh so you take the 6/4 and multiply it by 100%.Which will give you 150%. The percentage is higher than 100% because in the fraction 6/4 the numerator is higher than the denominator

Answer:

Since the slope of the line is (31/4 - 25/4) / (5/4 - 3/4) = 3 that means that for every 1 that x increases, y increases by 3 so an example could be 1 3/4 for x and 9 1/4 for y.

Answer:

(5x²+2y² + 2xy)(5x²+2y²-2xy)

Step-by-step explanation:

25x⁴+4x²y²+4y⁴= (5x²)²+2*5x²*2y²+(2y²)² - 16x²y²= (5x²+2y²)² - (4xy)²= (5x²+2y² + 2xy)(5x²+2y² - 2xy)

Answer:

960cm^2

Step-by-step explanation:

surface area = sum of area of one sides

front + back = 336cm^2

side x 2 = 336cm^2

base + top = 288cm^2

sum = 960cm^2

Mark Brainiest, please

Step-by-step explanation:

It might be easier thinking of "rate of change" as the slope. Since you'll be finding a slope, then, use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the values.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{20-12}{8-6}\\m=\frac{8}{2} \\m=4[/tex]

Answer:

[tex]m=\frac{4}{1}[/tex] or [tex]m=4[/tex]

Answer:

5.1

Step-by-step explanation:

Before we calculate  the y value for the point Q that is located two thirds the distance from point P to point R, we need to get the distance of point p from point R using the formula for calculatingf the distance between two points

D = √(x2-x1)²+(y2-y1)²

Given P(−2, 7), and R(1, 0)

RP = √(1-(-2))²+(0-7)²

RP = √3²+(-7)²

RP = √9+49

RP =√58

To get the y value for point Q that is located two thirds the distance from point P to point R, this will give

PQ = y = 2/3 of √58

= 5.1

Answer: I Believe its 2.3

Step-by-step explanation:

P is located at (-2,7)

R is located at (1,0)

Look at the y coordinates

P(-2,7)  R(1,0)

7 to 0= distance of 7

multiply 2/3 by 7 = 4.7      (it was originally 4.666666665 but i couldnt find the answer with just 4.6 so i rounded it to 4.7)

Now plug in the info we know:

.y axis = 7 - 4.7 = 2.3

Hope this helped! Im taking the test and ill be back if this is wrong

Answer:

[tex]9[/tex]

Step-by-step explanation:

[tex]x \div 4=9/4[/tex]

[tex]x=9/4 \times 4[/tex]

[tex]x=36/4[/tex]

[tex]x=9[/tex]

Answer:

9

Step-by-step explanation:

x/4=9/4

x=9 (multiply both sides by 9)

Answer:

27 miles

Step-by-step explanation:

2/3rds of the way home is 18 miles

2/3 d = 18

Multiply each side by 3/2

3/2 * 2/3 = 18 *3/2

d = 27

The distance is 27 miles

Answer:

x = -14

Step-by-step explanation:

Look at the image attatched. I have labeled the angles for better explanation.

We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:

108 = x + 122.

We then solve this by getting:

x = 108 - 122

which gives us the answer of

x = -14

Answer: x = -14

Step-by-step explanation:

a) Top triangle, top angle: Using the Linear Pair Postulate, 180° - 126° = 54°

b) Top triangle, bottom left angle: Congruent sides implies congruent angles = 54°

c) Bottom triangle, top left angle: Using the Complimentary Angles Postulate, 90° - 54° = 36°

d) Bottom triangle, bottom angle: Congruent sides implies congruent angles = 36°

Triangle Sum Theorem states that the sum of the three angles must equal 180°.

36° + ∠2 + 36° = 180°

36° + (x + 22) + 36° = 180°

x + 194 = 180

         x = -14

Answer:

D

Step-by-step explanation:

I got it on the test

The measure of ∠ABC in the triangle below is 60°

Triangle is a polygon with three sides and three angles. The sum of angles in a triangle is 180°.

∠ACB + 135 = 180° (Sum of angles in a straight line)

∠ACB = 45°

In triangle ABC:

∠ABC + ∠ACB + ∠CAB  = 180° (Sum of angle in a triangle)

∠ABC + 75 + 45 = 180

∠ABC = 60°

The measure of ∠ABC in the triangle below is 60°

Find out more on Triangle at: https://brainly.com/question/23945265

Answer:

The second answer

Step-by-step explanation:

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

labron james

Step-by-step explanation:labron james labron james labron james

Answer:7c

Step-by-step explanation:

idk.

Answer:

7

Step-by-step explanation:

y=mx+b

b= y-intercept

So 7 is your answer

Answer:

The relationship between the angles is alternate exterior angles.

Step-by-step explanation:

Exterior means outside.

Alternate means every other or in this case across form each other.

These angles represent alternate exterior angles because they are on the outside of the transversal and they are alternating each other.

Answer:

A.

Step-by-step explanation:

The sum of a number, x, and 4 just means x + 4.

If we take twice this sum, it implies that we take the resulting number and multiply it by 2.

Our resulting number is x + 4, so we are left with 2(x + 4).

I hope this helps!

The correct answer is twice the sum of a number and four.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, 2(x+4)

The sum of a number, x, and 4 just means x + 4.

Taking twice of the sum, it implies that we take the resulting number and multiply it by 2.

The resulting number is x + 4, so it is 2(x + 4).

Hence, The correct answer is twice the sum of a number and four.

For more references on expression, click;

https://brainly.com/question/14083225

#SPJ2

Answer:

1.54 million

Step-by-step explanation:

If 45% of the population are males, then 55% are females. 55%=55/100=0.55. Multiplying this by the total population of the city, you can find that it has 0.55*2,800,00=1.54 million females. Hope this helps!

Answer:

the answer for this question is 1.54×10^6

Step-by-step explanation:

45%- Male

100%-45%=55%

55/100×(2.8×10^6)=1540000

=1.54×10^6

Answer:

A = 90.25π

Step-by-step explanation:

Area of a circle = [tex]\pi r^2[/tex]

r = 9.5

A = 90.25π

Answer:

[tex]\pi \times 9.5 {?}^{2} [/tex]

Answer:

Step-by-step explanation:

This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr

i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.

I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.

Recall that

[tex]nCr=\frac{n!}{(r!)(n-r)!}[/tex]

Consider question a) we are given (5 1) or ₅C₁

we can see that n = 5 and r = 1

If we substitute this into the formula:

₅C₁ = (5!) / [ (1!)(5- 1)!]

= (5!) / [ (5- 1)!]

= (5!) / (4!)

= (5·4·3·2·1) / (4·3·2·1)

= 5

hence ₅C₁ = 5

Answer:

(a) 5

(b) 10

(c) 35

(d) 28

(e) 9

(f) 21

Step-by-step explanation:

[tex](\frac{n}{k} )=\frac{n!}{k!(n-k)!}[/tex]

(a)

[tex](\frac{5}{1} )=\frac{5!}{1!(5-1)!} \\\\(\frac{5}{1} )=\frac{5*4*3*2*1}{1*4!} \\\\(\frac{5}{1} )=\frac{120}{1*4*3*2*1} \\\\(\frac{5}{1} )=\frac{120}{24} \\\\(\frac{5}{1} )=5[/tex]

(b)

[tex](\frac{5}{3} )=\frac{5!}{3!(5-3)!} \\\\(\frac{5}{3} )=\frac{5*4*3*2*1}{3*2*1*2!} \\\\(\frac{5}{3} )=\frac{120}{3*2*1*2*1}\\\\(\frac{5}{3} )=\frac{120}{12} \\\\(\frac{5}{3} )=10[/tex]

(c)

[tex](\frac{7}{4} )=\frac{7!}{4!(7-4)!} \\\\(\frac{7}{4} )=\frac{7*6*5*4*3*2*1}{4*3*2*1*3!} \\\\(\frac{7}{4} )=\frac{5040}{4*3*2*1*3*2*1} \\\\(\frac{7}{4} )=\frac{5040}{144} \\\\(\frac{7}{4} )=35[/tex]

(d)

[tex](\frac{8}{2}) =\frac{8!}{2!(8-2)!} \\\\(\frac{8}{2}) =\frac{8*7*6*5*4*3*2*1}{2*1*6!} \\\\(\frac{8}{2}) =\frac{40320}{2*1*6*5*4*3*2*1}\\\\(\frac{8}{2}) =\frac{40320}{1440} \\\\(\frac{8}{2}) =28[/tex]

(e)

[tex](\frac{9}{8} )=\frac{9!}{8!(9-8)!} \\\\(\frac{9}{8} )=\frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1} \\\\(\frac{9}{8} )=\frac{362880}{40320} \\\\(\frac{9}{8} )=9[/tex]

(f)

[tex](\frac{10}{4} )=\frac{10!}{4!(10-4)!} \\\\(\frac{10}{4} )=\frac{10*9*8*7*6*5*4*3*2*1}{4*3*2*1*6!} \\\\(\frac{10}{4} )=\frac{3628800}{24*6*5*4*3*2*1} \\\\(\frac{10}{4} )=\frac{362880}{17280} \\\\(\frac{10}{4} )=21[/tex]

Answer:

solo la conosco como ipotenuza

Step-by-step explanation:

Answer:

flank right-angled triangle right triangle

Step-by-step explanation: