Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear
equation: 1/4 a + 1/3 a+ 8 = 22

Answer:

Let x and y be the numbers, with x the larger one.

x - y = 5

2y = x + 18

Then solve this system of equations:

x - y = 5

x - 2y = -18

Subtract bottom equation from top equation and get

y = 23

So x = y + 5 = 23 + 5 = 28

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required expression is ~

[tex] \boxed{(2x + 1)(x - 5)}[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

let's solve ~

Answer:

108 - 9y

Step-by-step explanation:

9(12 - y)

9(12) - 9(y)

108 - 9y

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:  119z −  110

Step-by-step explanation:

Answer:

x = 6.5 units

Step-by-step explanation:

The 2 given squares are the on the legs of the right triangle with hypotenuse x

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then

x² = 13 + 29.25 = 42.25 ( take square root of both sides )

x = [tex]\sqrt{42.25}[/tex] = 6.5 units

YES

- 1/2 is equivalent to 1/-2

The detailed answer is in the image attached.

Hope it helps you.....

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Using the concept of probability, the probability of rolling 2 sixes would be 1/25

From the tree diagram given :

The probability of rolling 2 sixes can be defined thus :

Hence,

P(2 6's) = 1/5 × 1/5 = 1/25

Hence, the probability of rolling 2 sixes is 1/25.

Learn more : https://brainly.com/question/14522818

Answer:

82 r 8

Step-by-step explanation:

i took the flvs test and its right!

Answer:

C:6

Step-by-step explanation:

there are only 2  possible common tangents to circles A and B can exist

ok done. Thank to me :>

Answer:

3

Step-by-step explanation:

Answer:

$2.00

Step-by-step explanation

To solve this problem, divide $6 by 3 bars which is $2 a bar

Answer:

One bar= $2

Step-by-step explanation:

6 is the amount paid, 3 is the amount of bars he got. so to find the amount for one bar you divide, 6÷3= 2

Answer:

[tex]s\sqrt{2}[/tex]

Step-by-step explanation:

This would be the diagonal because the formula for diagonals in a square would be [tex]a\sqrt{2}[/tex], where a is the side length.

Answer:

$0.31

Step-by-step explanation:

You need to take the amount of money each pack costs and divide it by the number of cans to find the unit rate. Hope this helps!!

Answer:

(6, -1)

Step-by-step explanation:

4x = 24

x = 6

2(6) + 7y = 5

12 + 7y = 5

7y = -7

y = -1

17. <

18.=

19.>

20.>

21.3.021,3.12,3.121,3.21

22. 1.03,1.03,1.3,1.39

23.

Step-by-step explanation:

4 1/2 = 9/2

so, the calculation is simply how often 3/4 fits into 9/2.

and that is done by division :

9/2 / 3/4

and as we know, to divide by a fraction is the same as to multiply with the upside-down fraction.

so,

9/2 / 3/4 = 9/2 × 4/3 = (9×4)/(2×3) = 3×2/1 = 6

so, without any breaks the teacher can schedule 6 lessons each night.

Answer:

a= 0.84m

b= 7m

i tried my best but im not sure of the answer

Step-by-step explanation:

5x+3y=4.2

2x=3y

x = 4.2-3y/5

2*(4.2-3y/5) = 3y

=1.68/3 = 0.56

y=0.56

2x = 3*0.56

x = 0.84

a) The length of one belt (b) is 0.6 meters, or 60 centimeters.

b) The total length of 7 belts and 2 shoe laces is: 5 meters.

Let the length of one belt be "b" meters, and the length of one shoe lace be "s" meters.

a) Find the length of a belt:

According to the given information, the total length of 5 belts and 3 shoe laces is 4.2 meters. We can express this information as an equation:

5b + 3s = 4.2

b) Find the total length of 7 belts and 2 shoe laces:

The total length of 3 shoe laces is equal to the length of 2 belts. We can express this information as another equation:

3s = 2b

Now, we can use these two equations to solve for the values of "b" and "s."

Step 1: Solve the second equation for "s":

3s = 2b

Divide both sides by 3:

s = (2/3)b

Step 2: Substitute the value of "s" from the second equation into the first equation:

5b + 3((2/3)b) = 4.2

5b + 2b = 4.2

7b = 4.2

Step 3: Solve for "b":

b = 4.2 / 7

b = 0.6

Now that we have the value of "b," we can find the value of "s" using the second equation:

s = (2/3)b

s = (2/3) * 0.6

s = 0.4

To know more about length:

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Step-by-step explanation:

1 cup of yellow paint = 2×1/2 cup.

and that requires then also 2×1/3 Co red paint.

so, 1 cup of yellow paint mixes with 2/3 cups of red paint.

2 and 3 have a smallest common multiple (smallest number that is divisible by both numbers without remainder) of 6.

so, we need to get 6 units of each for a whole number ratio :

6×1/2 = 3 cups of yellow paint mix with 6×1/3 = 2 cups of red paint.

Answer:

a) -5 meters

b)160°C

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Fast and loose: To go from 8 to 12 minutes you're adding half the time (4 minutes). So it has time to burrow only half the holes in the extra time, so 5. Total, 10+5=15.

Crunching numbers: it's a simple proportion:[tex]10:8 = x :12[/tex] from which, cross-multiplying you get [tex]8x=12\times10 \rightarrow 8x=120 \rightarrow x=15[/tex]

Answer:

Step-by-step explanation:

the answer 4x-5y +2 = 0. 5y =-4x-2. y = -4x/5 -2/5 slope = -4/5

Answer:

{y,x} = {2,1}

Step-by-step explanation:

// Solve equation [1] for the variable  y  

 [1]    y = 5x - 3

// Plug this in for variable  y  in equation [2]

  [2]    -5•(5x-3) - x = -11

  [2]     - 26x = -26

// Solve equation [2] for the variable  x  

  [2]    26x = 26  

  [2]    x = 1  

// By now we know this much :

   y = 5x-3

   x = 1

// Use the  x  value to solve for  y  

   y = 5(1)-3 = 2

( x - 2 )² + ( y + 4 )² = 49

.........................................

Answer:

2vx

20ce

30a^2

30xw^2

42m^3n^2

24a^2c^2x^3

7n

8x

6wx

3ac^2

6wx^2

6a^2c

instead of writing ^2/^3 (which means to the power of 2/3), use symbol input which it tells you in the question

Answer:

3.5

Step-by-step explanation:

Answer:

26 and 26

Step-by-step explanation:

Let's call the two numbers x and 52-x.

Their product is [tex]p(x) = x(52-x)=52x-x^2[/tex]. Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point [tex]x_v= -\frac{b}{2a} = -\frac{52}{2)(-1)} = 26[/tex] The two numbers are, then 26 and 52-26=26.

Answer:

([tex]\frac{49}{29},\frac{19}{29}[/tex])

Explanation:

7x - 15y = 2  (1)

x + 2y = 3 (2)

x + 2y = 3

x + 2y - 2y = 3 - 2y

x = 3 - 2y  (3)

Substitute (3) to (1)

7x - 15y = 2

7(3 - 2y) - 15y = 2

21 - 14y -15y = 2

21 - 21 - 29y = 2 - 21

-29y = -19

y = [tex]\frac{19}{29}[/tex]  (4)

Plug (4) into (2)

x + 2y = 3

x + 2[tex]\frac{19}{29}[/tex] = 3

x + [tex]\frac{38}{29}[/tex] = 3

x = 3 - [tex]\frac{38}{29}[/tex]

[tex]x = \frac{87}{29}-\frac{38}{29} =\frac{49}{29}[/tex]

([tex]\frac{49}{29},\frac{19}{29}[/tex])

Answer:

I hope this helps.