One year ago, Joan was five times as old as her pony. In one year's time, the sum of the ages will be 22. How old is Joan now?​

Answer:

38

Step-by-step explanation:

5x+3 = 23

5x = 23-3

x = 20/5

x = 4

12x-10 = ?

12 (4) -10

48 -10

38

The value of the expression 12x - 10 will be 38.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 5x + 3 = 23. To calculate the value of 12x -10 first calculate the value of x.

5x+3 = 23

5x = 23-3

x = 20/5

x = 4

Calculate the value of 12x - 10.

12x-10 = ?

12x-10 = 12 (4) -10

12x-10 = 48 -10

12x-10 = 38

Therefore, the value of the expression 12x - 10 will be 38.

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Step-by-step explanation:

b. (3a²-9a)/(a²-9)

3a(a-3)/(a-3)(a+3)

3a/(a+3)

Answer:

identity

commutative

associative

distributive

Step-by-step explanation:

Answer:

Jacob has the best percentage score of 82%

Step-by-step explanation:

Tom wins at chess 180 times in every 250

Daisy wins 3/4 of 180 times

Jacob wins 328 times in every 400

Tom's percentage score = [tex]\frac{180}{250} * 100[/tex] = 72%

Daisy wins [tex]\frac{3}{4} * 180 = 135[/tex] times

Daisy's percentage score = [tex]\frac{135}{250} * 100[/tex] = 54 %

Jacob's percentage score = [tex]\frac{328}{400} * 100[/tex] = 82%

∴ Jacob has the best percentage score.

Answer:

meets at a 90° in the following question.

Hey there! I'm happy to help!

Discrete data are data that are usually counted and are represented by points that are not connected by a line.

Continuous data are data that are represented by a straight line.

Our graph has a continuous function because it is made of continuous.

In a function, the domain is all of the x-values and the range is all of the y-values.

With discrete data, the domain and range are usually more finite, and with continuous data, it is usually infinite.

What x-values on this graph include any possible number. If we follow the arrow on the bottom left side of our line, it will go down forever and go in the direction of infinitely many negative x-values. The same goes for the other direction with the other side of our arrow.

So, our domain is going to be -∞ ≤ x ≤ ∞.

If we look at our range, we have the same thing happening. We will have infinite negative y-values and infinitely positive as our arrow goes infinitely in both directions.

So, our range is going to be -∞ ≤ y ≤ ∞.

Have a wonderful day and keep on learning! :D

Answer:

Option D

Step-by-step explanation:

Hope it will help you.

Answer:

It is 4x²y(x - 4)(x + 2)

Step-by-step explanation:

[tex] {4x}^{4} y - {8x}^{3} y - {32x}^{2} y[/tex]

factorise out 4x²y :

[tex] = 4 {x}^{2} y( {x}^{2} - 2x - 8)[/tex]

find the factors of x² - 2x - 8:

[tex] = 4 {x}^{2} y \{(x - 4)(x + 2) \}[/tex]

Answer:

context

Step-by-step explanation:

ill help in comments if you can explain this makes no sense

Answer:

a) C = 1.40 + .4M

b) $4.60

c) 46.5 <= M (miles)

Step-by-step explanation:

a) Cost = initial fee + 0.40 * miles OR

   C = 1.40 + .4M

b) C = 1.40 + .4M

    C = 1.40 + .4 * 8

    C = 1.40 + 3.20 = 4.60

c)  C <= 20 so

    20 <= 1.40 + .4M

    20 - 1.40 <= .4M

   18.60/.4 <= M

    46.5 <= M

Answer:

70.5°

Step-by-step explanation:

cos x = (20²+18²-22²)/2(20)(18)

= (400+324-484)/720

= 240/720

= 1/3

so, X = arc cos ⅓ = 70.5°

Answer:

x = 20

m = 92

n = 68

p = 92

Step-by-step explanation:

x = 20

2 + 3x = 62

-2           -2

----------------

   3x = 60

  -----   -----

    3       2

    x = 20

m = 92

20 + 68 = 88

180 - 88 = 92

n = 68

The vertical angle is 68 degrees

p = 92

Vertical angle is m, which is 92.

Hope this helped.

Answer:

0.0625

Step-by-step explanation:

Answer:

|3x+7|>2 =5/3 x yang memenuhi

Step-by-step explanation:

you heard of the Pythagoras formula for rectangular triangles ?

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle), a and b are the other 2 sides touching the 90 degree angle.

so, in your case here we have therefore

x² = 8² + 6² = 64 + 36 = 100

x = sqrt(100) = 10

you know "sqrt" is an international abbreviation for square root : the opposite of squaring a number.

Answer:

3 1/2

Step-by-step explanation:

Answer:

She fell asleep for 6% of the trip.

Step-by-step explanation:

You take 48 and divide it by 800. That gives you 0.06.

0.06 equals 6%.

Answer:

6%

Step-by-step explanation:

Divide 48 and 800 together.

48/800 = 0.06

48 is the miles she's sleeping and 800 is the total miles.

So, she was asleep only 6% of the trip.

Hope this helped.

Answer: D

Step-by-step explanation:

100!=2*3*4*...*100

Counting which numbers are divisible by 2:

2,4,6,8,10,12,14,...,96,98,100 : 50 numbers (100/2=50)

Counting which numbers are divisible by 4=2²:

4,8,12,16,20,...96,100: 25 numbers (100/4=25)

Counting which numbers are divisible by 8=2³:

8,16,24,32,40,...,96: 12 numbers (100/8=12.5 ==> 12)

Counting which numbers are divisible by 16=2⁴:

16,32,48,...,96: 6 numbers (100/16=6.25 ==> 6)

Counting which numbers are divisible by 32=2⁵:

32,64,96 : 3 numbers(100/32=3.125 ==>3)

Counting which numbers are divisible by 64=2⁶:

64 : 1 number (100/64=1.5625 ==>1)

Sum of those numbers= 50+25+12+6+3+1=97

100! is divisible by 2⁹⁷.

Answer D

Answer:

k + 8 = y

9x - 17

4(x²-8)

Answer:

3.2b=5.8-1.4 3/2b=4/4 so b=3.2/4.4

Answer:

(2, - 6 )

Step-by-step explanation:

Use the mid point formula and equate to each coordinate of the midpoint

with endpoints (x₁, y₁ ) and (x₂, y₂ ) then

midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

let S = (x, y) , then

[tex]\frac{x+0}{2}[/tex] = 1 ( multiply both sides by 2 )

x = 2

and

[tex]\frac{y+2}{2}[/tex] = - 2 ( multiply both sides by 2 )

y + 2 = - 4 ( subtract 2 from both sides )

y = - 6

Then S (2, - 6 )

Total number of houses use hotspot is 18 houses

Step-by-step explanation:

Given that;

Number of total houses = 35

AT&T providers Internet service = [tex]\frac{1}{5}[/tex] of total house

Spectrum providers Internet service = [tex]\frac{2}{7}[/tex] of total house

Find:

Total number of houses use hotspot

Computation:

Number of houses AT&T providers Internet service = [tex]35 \times \frac{1}{5}[/tex]

Number of houses AT&T providers Internet service = 7

Number of houses Spectrum providers Internet service = [tex]35 \times \frac{2}{7}[/tex]

Number of houses Spectrum providers Internet service = 10

Total number of houses use hotspot = 35 - 7 - 10

Total number of houses use hotspot = 18 houses

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Answer:

It's BGH or the 4th option

Step-by-step explanation:

This is because they aren't adjoined

Answer: i wold charg 5 dollers

Step-by-step explanation:

sorry if im rong i dont know

if i under stood the question

Answer:

3x + 5 + 6x -6 = 80

9x -1 = 80

9x = 81

x = 9

3(9) +5 = 32

< DBC = 32

6(9)-6 = 48

<ABC = 48

Step-by-step explanation:

6x - 3x^2 + 2x^2 -2x = 5x^2 + 15x

4x -x^2 = 5x^2 + 15x

-11x - 6x^2 = 0

-6x^2 - 11x = 0

use the quadratic formula

(-b±√(b²-4ac))/(2a)

Answer:

It's y< -3/2x -2

Step-by-step explanation:

put each answer choice into desmos and match the graphs.