The difference of three times Faye's age and four times Joshua's age is 31. If Faye's age is five more than twice Joshua's age, how old is Faye?

Answer:  \frac{2}{5}  ; or, write in decimal form:  0.4 .

Step-by-step explanation:

Rewrite as:

_______________________

    [tex]\frac{4x}{7} = \frac{8}{35}[/tex] ;

________________________

Now, "Cross-factor multiply":

that is:

_____________________

 → Given:   [tex]\frac{a}{b} =\frac{c}{d}[/tex]  ;

    → ad = bc ;  (b≠0 ; d≠0) ;

_____________________

As such:

 4x * 35 = 7 * 8 ;

_______________________

We can divide one side of the equatiuon by "4" ; and one side by "7" :

  [tex]\frac{4x*35}{4*7} = \frac{7*8}{4*7}[/tex] ;

_______________________

We can simplify the "left-hand side":

 "4/4 = 1 " ; and "35/7 = 5 " ; & we are left with "x * 5" ; or "5x " .

________________________

We can simplify the "right-hand side":

 "7/7 = 1 " ; and: "8/4 =2 " ; to get: "2/1" ; which equals "2".

_________________________

So; we have:  " 5x = 2 " ; Solve for "x" ;

__________________________

  Divide each side of the equation by "5" ; to isolate "x" on one ide of the equation; & to solve for: "x" ;

__________________________

  " 5x/5 = 2/5 " ;  We cancel out the "5x/5" to "1x"; which equals "x":

    → x = [tex]\frac{2}{5}[/tex]  ;  or, write in decimal format:  "x = 0.4" ;

___________________________

\frac{2}{5}

____________________________

Hope this is helpful!  Best wishes in your academic pursuits—and within the "Brainly" community!

____________________________

Answer:

[tex]x = 0.4[/tex]

Step-by-step explanation:

[tex]\frac{7}{4} x \frac{4}{7} = \frac{7}{4} x \frac{8}{35}[/tex]

Reduce the number with the greatest common factor 7

[tex]\frac{1}{4} x 4x= \frac{7}{4}x\frac{8}{35}[/tex]

[tex]x=\frac{7}{4}x\frac{8}{35}[/tex]

[tex]x=7x\frac{2}{35}[/tex]

[tex]x=\frac{2}{5}[/tex]

Answer:

The retail price to purchase a remote-controlled car at the hobby store is $42

Step-by-step explanation:

Original Price of remote controlled car = $35

Mark up = 20%

We need to find retail price.

First we will find mark up value i.e. 20% of 35 and then add it to the original price to find retail price.

Finding 20% of 35

[tex]20\% \:of\: 35\\=\frac{20}{100}\times 35\\=7[/tex]

So, mark up price is $7

Now, the retail price will be:

Retail price = Original Price + Mark up

Retail price = 35 + 7

Retail price = 42

So, the retail price to purchase a remote-controlled car at the hobby store is $42

Answer:1 =5

             2 = 55/3

             3= 11

Step-by-step explanation:

hope i could help lol

Dividing 120 in the ratio of 1 : 4 will give 24 and 96.

The first number that'll be gotten based on the information given will be:

= 1/5 × 120

= 24

The second number that will be gotten based on the information given will be:

= 4/5 × 120

= 96

Therefore, the numbers will be 24 and 96.

Read related link on:

https://brainly.com/question/18922046

Answer:

el precio de la biciclete entre 3 es lo que van a pagar cada quien.

Step-by-step explanation:

Answer:

a = 80

b = 40

c = 58

d = 19

e = 34

f = 36

Pls mark brainliest. Thanks!

Answer:

a = 80

b=40

c=58

d=19

e=34

f=36

Step-by-step explanation:

Answer:

$8.87 per pound

Step-by-step explanation:

Answer:

32647

Step-by-step explanation:

It is this becasue i know

Answer:

im a little confused so i hope this is right

Step-by-step explanation

(11*2+2x+16)= 38+2x

(2*2+x+2)= 6+x

38+2x-6+x= 32+x ??

38-6=32

2x-x= x or 2x+x=3x

Answer:

C: A compass setting is used to measure the length of a segment in a

Step-by-step explanation:

Answer:

$82.68

Step-by-step explanation:

Original price of mint - $106

Percent discount = 22%

Discount price = 22/100 * 106

Discount price = 0.22 * 106

Discount price  = $23.32

New value = Original price - discount price

New value = 106 - 23.32

New value  = 82.68

Hence the new value of the figure will be $82.68

Answer:

6

Step-by-step explanation:

Step 1: g(6) = 4 - 2 x 6

Step 2: g(6) = 4 - 12

Step 3: g(6) = -8

Step 4: g(9) = 4 - 2 x 9

Step 5: g(9) = 4 - 18

Step 6: g(9) = -14

(Final Step) Step 7: g(6) - g(9) = -8 - (-14) = 6

Answer:

72

Step-by-step explanation:

6x+6x+8x=180 (∠ sum of Δ)

20x=180

x=9

∠ABC=8(9)

         =72

Answer:

The perimeter is 28.13 cm

Step-by-step explanation:

We connect a line from A to C

we can use the cosine rule to find the length AC

let us call it x

AC^2 = AB^2 + BC^2 - 2(AB)(BC) cos B

we have this as;

x^2 = 6^2 + 8^2 - 2(6)(8) cos 95

x^2 = 36 + 64 + 8.37

x^2 = 108.37

x = √108.37

x = 10.4 cm

AC = 10.4 cm

now, let us look at triangle ADC Where we have AC as the hypotenuse as it is the side facing the right angle

We can use Pythagoras’ theorem to get the value of CD

We have it that the square of the hypotenuse AC is the sum of the squares of the two other sides

let DC be y

10.4^2 = 5^2 + y^2

y^2 = 108.37 - 25

y^2 = 83.37

y = √83.37

y = 9.13 cm

The perimeter of the shape is the sum of all its sides

so we have;

AB + BC + CD + AD

= 6 + 8 + 9.13 + 5

= 28.13 cm

Answer:

-6

Step-by-step explanation:

count

Answer:

-6

Step-by-step explanation:

each dash on the line changed by one. So i you go down, you subtract 1, and if you go up, you add 1.

Answer:

f ( 10 x − 6 ) = 1000 x^ 3 − 1800 x ^2+ 1170 x − 306

Step-by-step explanation:

Answer: y=+{%

Step-by-step explanation:

€

hey

heh

Answer:

6 vans and 6 buses

Step-by-step explanation:

v+b=12 this equation represents the amount of vehicles

6v + 55b = 366 this equation represents the amount of students per vehicle.

after solving you get v=6 and b=6

Answer:

angle c = 20 °

Step-by-step explanation:

as sum of all sides of triangle is equals to 180°

Answer:

because you add. if you would subtract 6 inches by 3 inches it would be 3 inches.

Answer:

Step-by-step explanation:

The correct system of equations which is the number of nickels and dimes that Lucas has in the jar is:

n + d = 30

0.05n + 0.10d = 2.10

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Lucas has a jar of coins that only contains nickels and dimes. He has 30 pennies in the jar, which is worth $2.10.

Let represents the number of nickels, n,

And the number of dimes, d, that Lucas has in the jar

The system of equations to find the number of nickels and dimes that Lucas has in the jar is:

n + d = 30

0.05n + 0.10d = 2.10

This system can be used to solve for the values of n and d. The first equation represents the total number of coins, and the second equation represents the total value of the coins in the jar.

Learn more about the equation here:

brainly.com/question/13947055

#SPJ2

Answer:

The slope=1

Step-by-step explanation:

(0,7)=(x,y) and (-4,3)=(`x,`y)

The formula for finding slope= `y - y/`x - x

3-7/-4-0

-4/-4

1

Therefore, the slope=1

Answer:

1/370

Step-by-step explanation:

I think I couldn't see it well

Answer:

40 sweets

Step-by-step explanation:

Let june have x sweets

may has 3x/4 sweets

April has x/2 sweets

total sweets is 90

Adding all sweets =

x/2+3x/4+x = 90

9x = 360

x = 40

Therefore June has 40 Sweets

Answer:

6z-7>8z+2? =  z < -9/2

Step-by-step explanation:

6*z-7-(8*z+2)>0

  -2z - 9  =   -1 • (2z + 9

Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     2z+9  < 0

Divide both sides by  2  

     z+(9/2)  < 0

Subtract  9/2  from both sides

           z < -9/2

Answer: z < -9/2

Answer:

z is (less than) -9/2 is the correct answer use the symbol for less than.  

Step-by-step explanation:

I put it through Photomath which is 100% right all the time with these equations.

Answer:#2

Step-by-step explanation: