Frank ate half of his jellybeans and then bought a package with 16 more. If he now has 20 remaining jellybeans, how many did he have in the beginning?

Answer: Cada cuaderno cuesta 20, y el libro 120.

Step-by-step explanation:

Vamos a definir:

L = precio de un libro

C = precio de un cuaderno.

Sabemos que Diego compro un libro y tres cuadernos por 180, entonces tenemos:

1*L + 3*C = 180

También sabemos que el libro costo el doble de lo que costaron los 3 cuadernos juntos, entonces:

L = 2*(3*C) = 6*C

Tenemos un sistema de ecuaciones:

1*L + 3*C = 180

L = 6*C

Para resolverlo, podemos reemplazar la segunda ecuación en la primera, para así obtener:

1*(6*C)  + 3*C = 180

6*C + 3*C = 180

9*C = 180

C = 180/9 = 20

Cada cuaderno costo 20.

Y el precio del libro se puede obtener con la ecuación:

L = 6*C = 6*20 = 120

El libro costo 120

Answer:

y = -1 !!!!!!!!!!! :)))))))))))))

Answer:

y=-1

Step-by-step explanation:

symmetry is where it is the same on both sides, so that would be the line between the top and bottom point and because they are up and down it is a y whereas if it were side to side it would be x. it is on the left side which are negatives and it is one over to the left making it y=-1

Answer:

y = - [tex]\frac{2}{3}[/tex] x - 7

Step-by-step explanation:

A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) , B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~

( - 6, - 3 )

( - 3, - 5 )

m = [tex]\frac{-5+3}{-3+6}[/tex] = - [tex]\frac{2}{3}[/tex]

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

y + 5 = - [tex]\frac{2}{3}[/tex] x - 2

y = - [tex]\frac{2}{3}[/tex] x - 7

Answer:

Answer is in photo

Step-by-step explanation:

Answer:

Step-by-step explanation:

abc = 1

We have to prove that,

[tex]\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1[/tex]

We take left hand side of the given equation and solve it,

[tex]\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}[/tex]

Since, abc = 1,

[tex]\frac{1}{c}=ab[/tex] and c = [tex]\frac{1}{ab}[/tex]

By substituting these values in the expression,

[tex]\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}=\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+ab}+\frac{1}{1+\frac{1}{ab}+\frac{1}{a}}[/tex]

                                       [tex]=\frac{b}{b+ab+1}+\frac{1}{1+b+ab}+\frac{ab}{ab+1+b}[/tex]

                                       [tex]=\frac{1+b+ab}{1+b+ab}[/tex]

                                       [tex]=1[/tex]

Which equal to the right hand side of the equation.

Hence, [tex]\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1[/tex]

Answer:

(i) ∠ABH = 14.46⁰

(ii) The length of AH = 4.6 m

Step-by-step explanation:

From the image uploaded;

Consider △ABC;

the length of b is calculated by applying Pythagoras theorem as follows;

b² = c² - a²

b² = (13.2)² - (6.9)²

b² = 126.63

b = √126.63

b = 11.25 m

Also, ∠ABC is calculated as;

[tex]Cos \ B = \frac{a^2+c^2-b^2}{2ac} \\\\Cos \ B = \frac{(6.9)^2+(13.2)^2-(11.25)^2}{2(6.9 \times13.2)}\\\\ Cos \ B = \frac{95.288}{182.16} \\\\ Cos \ B = 0.5219 \\\\B = Cos ^{-1} (0.5231)\\\\B = 58.46 ^o[/tex]

Consider △CBH, ∠CBH is calculated as;

∠CBH = 90⁰ - 46⁰ = 44⁰

(i) ∠ABH will be calculated as;

∠ABH = θ

θ + 44⁰ = ∠ABC

θ + 44⁰ = 58.46⁰

θ = 58.46⁰  - 44⁰

θ = 14.46⁰

Thus, ∠ABH = 14.46⁰

(ii) The length of AH

length HC is calculated as;

[tex]tan \ 46^o =\frac{6.9}{HC} \\\\HC = \frac{6.9}{tan \ 46^o } \\\\HC = 6.66 \ m[/tex]

length of AH = CA - HC

x = b - HC

x = 11.25 - 6.66

x = 4.6 m

length of AH = 4.6 m

Answer:

$2 each ticket is 2 dollars

Answer:

C y = 7x +19

Step-by-step explanation:

There are 19 gallons in the water tank and 7 gallons are added when you take x amount of minutes, which gives you y.

An example is 1 minute.

Y = 7(1) + 19

y = 7 + 19

y = 26

You have to remember that there are 19 gallons already in the tank and that 1 minute has passed, which means 7 gallons have been added. Thus there are 26 gallons in the water tank.

Hope this helps. :)

Answer:

I think the answer is A hopefully this helps

Answer:

0.95

Step-by-step explanation:

[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]

[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]

Answer:

2nd option

Step-by-step explanation:

the domain is from 0 to infinity

we count 0 because

f(0)=1 (just look in the graph)

so

[tex]x \geq 0[/tex]

which is the 2nd option

Answer: x < 2

-3x + 7 > 1

<=> -3x > - 6

<=> x < -6/-3

<=> x < 2

Step-by-step explanation:

Answer:

$442

Step-by-step explanation:

Multiply the sales price by the discount percentage. This is the total discount that was taken off.

$520 x 15% = $78.

Subtract the discount amount from the sales price. This gives you the amount that the computer costs after the discount.

$520 - $78 = $442

The computer costs $442.

Answer:

153.16

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = ???

μ is the population mean = 140

σ is the population standard deviation = 8

Top 5% means the score is in the 95th percentile

The z score of 95th percentile = 1.645

1.645 = x - 140/8

Cross Multiply

1.645 × 8 = x - 140

13.16 = x - 140

x = 13.16 + 140

x = 153.16

Therefore, the minimum score needed to be in the top 5% of the scores on the test is 153.16

Step-by-step explanation:

P * h = k, where k is a real constant.

Answer:

2/3-3/2

Step-by-step explanation:

Answer:

36%

Step-by-step explanation:

Jeans: 14

Shorts: 9

Capris: 2

Total number of students = Number of Jeans + Number of Shorts + Number of Capris

Total number of students = 14 + 9 + 2 = 25

% of students wearing shorts = Number of shorts / Total number of students * 100

% of students wearing shorts = 9 / 25    * 100 = 0.36  * 100 = 36%

Answer:

well if you're looking for angles then

angle ADB = 30°

angle CBD = 80°

angle CDB = 120°

but they asked to classify triangle ADC ,whose measurements are 90° , 40° and 50° ...so of they're asking what type of triangle then it is a right angled triangle.

Answer:

Triangle ADC is a right triangle.

Step-by-step explanation:

Triangles Classification

An acute triangle is a triangle with three acute angles or with less than 90° each.

An obtuse triangle has one obtuse angle or more than 90°.

A right triangle has one right angle of 90°

From the figure, we can see angle D is marked as a right angle (90°), thus triangle ADC is a right triangle.

To complete the answer, triangle ADB is obtuse (has an angle of 100°), and triangle ABD is acute.

Answer:

y=1/2x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or kx

The value of the constant k is equal to the value of the slope m

In this problem we have the point (8,4)

Find the value of k

y/x=k------> substitute the value of x and y

4/8=k

k=1/2

The equation is equal to

y=1/2x

Answer:

1) =3

2)and 3) y-3x-2

Step-by-step explanation:

Hope that help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

Step-by-step explanation:

Diagonal is 60 inches, height is 24 inches so

60^2 = 24^2 + width^2

6.25 inches

Answer:

Tn = 2n+4

T20 = 44

Step-by-step explanation:

Given Sn = n²+ 5 n-6

Tn = Sn - Sn-1

Sn-1 = (n-1)² + 5(n-1) - 6

Tn = n²+ 5n-6 - ((n-1)² + 5(n-1) - 6))

Tn = n²+ 5n-6-(n²-2n+1+5n-5-6)

Tn = n²+ 5n-6-n²+2n-1-5n+5+6

Tn = 2n-7+11

Tn = 2n+4

Get the general term is 2n+4

To get the 20th term;

T20 = 2(20) + 4

T20 = 40+4

T20 = 44

Hence the 20th term of the sequence is 44

By undestanding the theory behind rational functions and functional theory, we conclude that the function have:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

In this question we have a rational function and we must determine its domain and range, whose elements exist if and only if the denominator evaluated at respective point is distinct of zero. Graphically speaking, the domain of the function represents the set of x-values, whereas the range represents the set of y-values.

By a graphing tool (i.e. Desmos) we construct the rational function and derive the following conclusions:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

By undestanding the theory behind rational functions and functional theory, we conclude that the function have:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

To learn more on rational functions: https://brainly.com/question/27914791

#SPJ1

Answer:

Range: (negative infinity, 0) U (0, 1/9) U (1/9, infinity)

Domain: (negative infinity, -3) U (-3, 6) U (6, infinity)

Step-by-step explanation:

100% on the test

Formula for the cylinder = V=πr2h

Formula for the cone = 1/3πr²H

Description:

So if the  cone and a cylinder have the same radius and the same height then it will be greater. So plug in these formula.

Formula:

Vcone = 3Vcone

Vcylinder = 360cm³

Vcone = 1/3 360cm³ = 120cm³

Answer: 120cm³

Hope this helps.

Answer:

38

Step-by-step explanation:

Simplifying

6 + -5x + -3x = 38

Combine like terms: -5x + -3x = -8x

6 + -8x = 38

Solving

6 + -8x = 38

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + -8x = 38 + -6

Combine like terms: 6 + -6 = 0

0 + -8x = 38 + -6

-8x = 38 + -6

Combine like terms: 38 + -6 = 32

-8x = 32

Divide each side by '-8'.

x = -4

Simplifying

x = -4

Answer:

I think the answer is 14.5x-132

Step-by-step explanation:

6.5x+3x+5x=14.5x

38+10-180=-132

=14.5x-132

Answer:

[tex]10x - 5[/tex]

Step-by-step explanation:

Combine like terms

Answer:

6.93 lbs.

Step-by-step explanation:

The weight on the moon is approximately 16.5% of what you would weigh on Earth. Using this information, we can say that 16.5% of 42 lbs would equal how much the object would weigh on the moon.

I prefer to convert percentages the decimal way, so let's do it that way. 16.5% is 0.165 as a decimal, so now all we have to do is multiply 0.165 by 42 (since we are saying 16.5% of 42 lbs), and we get 6.93 lbs.

Hope this helps! :)

9514 1404 393

Answer:

  see attached (7 dimes, 5 nickels)

Step-by-step explanation:

The inequalities are plotted in the attachment. The solution shown is ...

  (x, y) = (7, 5)

7 dimes and 5 nickels are 12 coins worth $0.90. This is the maximum number of coins, worth more than $0.85.