Paul wants to save $90 to go on a trip with his friends. He has $30 in his savings, and plans on saving $15 a week until he has enough money to go. Which of the equations below represents the situation?

Answer:

its 6

Step-by-step explanation:

-6+15x=84- add 6 to 84

15x=90 divide

x=6

Answer:

1/2 or 50% probability

Step-by-step explanation:

There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:

AB where player A is the first player to score, we wouldn't have BA since player would not be the first here

Probability = number of favorable outcomes/total number of outcomes

Therefore probability of A being the first player = number of A/total number of players

=1/2 = 0.50

There is therefore a 50% chance of A being the first player

Answer:

WHat did he say

Step-by-step explanation:

Answer:

We conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the proportionality constant.

From the table,

For the point (2, 7)

k = y/x

  = 7/2

  = 3.5

For the point (4, 14)

k = y/x

   = 14 / 4

   = 7/2

    = 3.5

For the point (5, 17.50)

k  = y/x

   = 17.5 / 5

   = 3.5

For the point (9, 31.50)

k  = y/x

   = 31.50 / 9

   = 3.5

From the above calculations, we computed that the value of the proportionality constant remains the same.

Thus, the table of numbers represents a proportional relationship.

Therefore, the equation becomes

y = kx

The price of 2 board game

y = 3.5 (2)

  = 7

The price of 4 board game

y = 3.5 (4)

  = 14

Therefore, we conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Sum of Interior Angles =  29 * 180

Sum of Interior Angles =  5,220

The interior angle sum of 31-gon is A = 5220°

What is the sum of the interior angles of a polygon?

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the interior angle sum of the polygon be = A

Now , the value of A is calculated by

The number of sides of the polygon n = 31

So , the interior angle sum of the 31-gon is given by the equation

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides , so

Substituting the values in the equation , we get

The value of nθ = 180 ( n - 2 )

The value of nθ = 180 ( 31 - 2 )

The value of nθ = 180 x 29

The value of nθ = 5220°

Therefore , the value of A is 5220°

Hence , The interior angle sum of 31-gon is A = 5220°

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Step-by-step explanation:

12/13 of a number = 24

13/13 of a number = 24 * (13/12) = 26

Hence the number is 26.

Answer:

26

Step-by-step explanation:

Let n be the number. Then:

12n/13=24

n=13/12 x 24

  =26 ..............

Answer:

Step-by-step explanation:

(1). [tex]\frac{1}{7}[/tex] x + y = 9 and y = - 7x ( Neither ) ; lines intersect.

(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.

(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{2}{7}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{7}{2}[/tex] , slopes are opposite reciprocals.

(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.

(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex] , slopes are opposite reciprocals.

Answer:

Step-by-step explanation:

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Set up the equation.

3n = n + 16

Step 2: Solve for n

Answer:

a)  963g

b) 17

Step-by-step explanation:

i) Now we must first find the common difference of the AP

d = 7.8 -6 = 1.8

Now the sum of the AP gives the total amount of chemical used for 30 experiments

Sn = n/2 [2a + (n-1)d]

n= 30, a = 6, d= 1.8

Sn = 30/2[2(6) + (30-1) (1.8)]

Sn = 15[12 + 52.2]

Sn = 963g

ii)For the G.P the common ration is (r)= 7.8/6 = 1.3

Since r>1, sum of GP = a (r^n -1)/r-1

If sum =  1800g

1800= 6(1.3^n -1)/1.3 - 1

1800 = 6(1.3^n -1)/0.3

1800 * 0.3  = 6(1.3^n -1)

540 = 6(1.3^n -1)

540/6 = (1.3^n -1)

90 = 1.3^n -1

90 + 1 = 1.3^n

1.3^n = 91

log 1.3^n = log 91

nlog1.3 = log 91

n = log91/log 1.3

n = 1.959/0.114

n = 17

Answer:

a)  963g

b) 17

Step-by-step explanation:

i) Now we must first find the common difference of the AP

d = 7.8 -6 = 1.8

Now the sum of the AP gives the total amount of chemical used for 30 experiments

Sn = n/2 [2a + (n-1)d]

n= 30, a = 6, d= 1.8

Sn = 30/2[2(6) + (30-1) (1.8)]

Sn = 15[12 + 52.2]

Sn = 963g

ii)For the G.P the common ration is (r)= 7.8/6 = 1.3

Since r>1, sum of GP = a (r^n -1)/r-1

If sum =  1800g

1800= 6(1.3^n -1)/1.3 - 1

1800 = 6(1.3^n -1)/0.3

1800 * 0.3  = 6(1.3^n -1)

540 = 6(1.3^n -1)

540/6 = (1.3^n -1)

90 = 1.3^n -1

90 + 1 = 1.3^n

1.3^n = 91

log 1.3^n = log 91

nlog1.3 = log 91

n = log91/log 1.3

n = 1.959/0.114

n = 17

Answer:yo it’s me leo remember me my acount got deleted

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Trust me its correct

Mark me brainliest

Question 3 (Fill-In-The-Blank Worth 2 points)

(06.01)

What is the value of the expression 62 + 33?

Numerical Answers Expected!

Answer for Blank 1:

21

Answer:

95.

Step-by-step explanation:

62 + 33 do 60+30 then add 5

9514 1404 393

Answer:

  (x, y) = (10, 2)

Step-by-step explanation:

The upper angle marked with an expression in x and y is supplementary to the angle marked 70°. The lower angle marked with an expression in x and y is an alternate interior angle with respect to the one marked 70°, is equal to that. This gives the two equations in x and y:

  6x +10y +30 = 110

  4x +10y +10 = 70

Subtracting the second equation from the first gives ...

  2x +20 = 40

  x +10 = 20 . . . . . divide by 2

  x = 10 . . . . . . . . . subtract 10

Substituting into the second equation gives ...

  4(10) +10y +10 = 70

  4 + y + 1 = 7 . . . . . . . . divide by 10

  y = 2 . . . . . . . . . . . . . . subtract 5

The values of x and y are 10 and 2, respectively.

Answer:

9514 1404 393

Step-by-step explanation:

Answer:

slope is -9

y intercept is 3

Step-by-step explanation:

its in the equation

Answer:

[tex]f^{-1}(x)= \frac{3}{2}(x+6)[/tex]

[tex]f(f^{-1}(x)) = f^{-1}(f(x))= x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{2}{3}x - 6[/tex]

Required

Determine [tex]f^{-1}(x)[/tex]

[tex]f(x) = \frac{2}{3}x - 6[/tex]

Represent f(x) as y

[tex]y=\frac{2}{3}x - 6[/tex]

Swap the positions of x and y

[tex]x=\frac{2}{3}y - 6[/tex]

Add 6 to both sides

[tex]x+6=\frac{2}{3}y - 6+6[/tex]

[tex]x+6=\frac{2}{3}y[/tex]

Multiply both sides by 3

[tex]3(x+6)=\frac{2}{3}y * 3[/tex]

[tex]3(x+6)=2y[/tex]

Divide both sides by 2

[tex]\frac{3}{2}(x+6)=\frac{2y}{2}[/tex]

[tex]\frac{3}{2}(x+6)=y[/tex]

[tex]y= \frac{3}{2}(x+6)[/tex]

Replace y with [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)= \frac{3}{2}(x+6)[/tex]

Justify the result:

First, we solve for [tex]f(f^{-1}(x))[/tex]

[tex]f(x) = \frac{2}{3}x - 6[/tex]

[tex]f(x) = \frac{2}{3}x - 6[/tex] becomes

[tex]f(f^{-1}(x)) = \frac{2}{3}x - 6[/tex]

Substitute [tex]\frac{3}{2}(x + 6)[/tex] for x

[tex]f(f^{-1}(x)) = \frac{2}{3}(\frac{3}{2}(x + 6)) - 6[/tex]

[tex]f(f^{-1}(x)) = \frac{2*3}{3*2}(x + 6)- 6[/tex]

[tex]f(f^{-1}(x)) = \frac{6}{6}(x + 6)- 6[/tex]

[tex]f(f^{-1}(x)) = 1*(x + 6)- 6[/tex]

[tex]f(f^{-1}(x)) = x + 6- 6[/tex]

[tex]f(f^{-1}(x)) = x[/tex]

Next, we solve [tex]f^{-1}(f(x))[/tex]

[tex]f^{-1}(x)= \frac{3}{2}(x+6)[/tex]

[tex]f^{-1}(x)= \frac{3}{2}(x+6)[/tex] becomes

[tex]f^{-1}(f(x))= \frac{3}{2}(x+6)[/tex]

Substitute [tex]\frac{2}{3}x - 6[/tex] for x

[tex]f^{-1}(f(x))= \frac{3}{2}(\frac{2}{3}x) - 6+6[/tex]

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

[tex]f^{-1}(f(x))= \frac{2*3}{3*2}x[/tex]

[tex]f^{-1}(f(x))= \frac{6}{6}x[/tex]

[tex]f^{-1}(f(x))= 1*x[/tex]

[tex]f^{-1}(f(x))= x[/tex]

Hence:

[tex]f(f^{-1}(x)) = f^{-1}(f(x))= x[/tex]

Answer:

the subtraction property of equality

Step-by-step explanation:

We use the "subtraction property of equality" to solve for the unknown in the equation:

c + 5 = 78

subtract 5 from both sides:

c + 5 - 5 = 78 - 5

c = 73

Answer:

ok so firstly you need a graph to decipher what the answer will be

Step-by-step explanation:

So due to that error i am unable to complete the problem because you did not provide enough information

Answer:

write the percent divided by 100

Step-by-step explanation:

1) write the percent divided by 100.

2) if the percent is not a whole number, multiply both top and bottom by 10 for every number after the decimal point.

3) reduce (simplify) the fraction.

Answer:

i think the answer is -13

Step-by-step explanation:

b-6= -7-6

=-13

your correct answer is 13

I am sure it's correct... just go for it

Answer:

(40+ 19) – 38

Step-by-step explanation:

We need to find the expression for "thirty-eight less than the sum of forty and nineteen".

Sum of forty and nineteen = 40 + 19

38 less than the above is 40 + 19 - 38

Overall expression is :

(40 + 19) - 38

Hence, the correct option is (d) "(40+ 19) – 38".

Answer:

burritos cost $4

tacos cost $ 1.75

Step-by-step explanation:

let b represent the price of burritos

let t represent the price of tacos

3b + 4t = 19

5b + 3t = 25.25

multiply the first equation by -3 and second by 4 to eliminate t

-3(3b + 4t = 19)

4(5b + 3t = 25.25)

-9b - 12t = -57

20b + 12t = 101

add both equations

11b  = 44

11       11

b = 4

substitute b = 4 into any equation to find the price of tacos

3b + 4t = 19

3(4) + 4t = 19

12 + 4t = 19

-12          -12

4t = 7

4    4

t = 1.75

Step-by-step explanation:

HCF of 60 and 84 = 6

So the required greatest number that divides 60 and 84 without leaving remainder is 6.

Answer:

4ac + ab + acb Dont mind this, i just need to have this 20 or more characters long: dhdudhsjsksksksjdhdhdjudjsjsjsjssjsjdudhd

Step-by-step explanation:

His raise is 3% of 89.000

.03*89.000=$2.670

His new salary is ( to get the number you need to add 89.000+2.670={$91.67})

Tait's raise in the coming year will be $2,670

Question meant to say that the inflation is 3%.

Inflation refers to the general rise in the price of goods and services in a country. It therefore makes a currency weaker because that currency will only be able to buy less than it could before.

The raise will have to be 3% as well to ensure that inflation does not affect Tait

The raise is based on his salary so can be found by:

= Amount Tait earns x Inflation rate

= 89,000 x 3%

= $2,670

In conclusion, the raise is $2,670

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Answer:

Each fudge cookie has 80 calories.

Each lemon cream has 65 calories.

Step-by-step explanation:

We will let [tex]\ell[/tex] represent the calories in lemon creams and [tex]f[/tex] represent the calories in fudge cookies.

Two lemon creams and four fudge cookies together have 450 calories. So, we can write the following equation:

[tex]2\ell+4f=450[/tex]

And four lemon creams plus two fudge cookies together have 420 calories. So, we can write the following equation:

[tex]4\ell+2f=420[/tex]

We now have a system of equations. We can solve this by elimination.

For the first equation, we can multiply both sides by -2. This way, the [tex]\ell[/tex] will cancel when we add the two equations together.

So, the first equation becomes:

[tex]-4\ell-8f=-900[/tex]

Add this to the second equation. Hence:

[tex](-4\ell+4\ell)+(-8f+2f)=(-900+420)[/tex]

Simplify:

[tex]-6f=-480[/tex]

Divide both sides by -6. Hence:

[tex]f=80[/tex]

So, there are 80 calories in one cookie.

We can use the first equation again to find the amount of calories in one cream. We have:

[tex]2\ell+4f=450[/tex]

Substituting 80 for [tex]f[/tex] yields:

[tex]2\ell+320=450[/tex]

Then it follows that:

[tex]\ell=65[/tex]

So, there are 65 calories in each lemon cream.

Answer:

567

Step-by-step explanation:

Answer:

Jessicas current elevation is -20 feet.

Step-by-step explanation:

Start and 40 on the number line and make a straight line to -20 on the number line with dots at 40 and -20 on the number line

¡Hola!

¿Qué puede significar una duela de 1 a 1 1/2 x10x3 $ 120.00m2?

Este ejercicio es para que puedas acomodar la información para que quien la lea tenga una forma de entenderla claramente así:

1. Primero podríamos decir que una duela es una tabla de madera que se curva y contornea los barriles o también las tablas de los pisos.

2. Lo siguiente es para confirmar que la mesa es de excelente calidad, es decir, Primera o.

3. 1, puede hacer referencia a una unidad.

4. 1/2 x10x3 este puede ser su volumen en centímetros 1 / 2cm de alto, 10cm de largo y 3cm de ancho.

5. Por último, el precio de la duela, 120.000 dólares el metro cuadrado.

Entonces podemos organizar todo esto:

Duela de Primero, 1 unidad; 1/2 cm de alto, 10cm de largo y 3cm de ancho, con un precio de $ 120.00 el metro cuadrado.

¡Espero haber ayudado!

This data is Inaccurate Data

   Where are  

Divide first by 5:

Multiplye secondly by -2:

-2x - 2y = -200

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