21 - 25 . Alex is trying to balance his time in academics, chores and other activities. In order to do this, he decided to

1/3 divide his time according to the tasks he needs to do in a day. If Alex will spend of his day on sleeping, 1/12 1/8 1/4 * on studyingon household chores and for other activities like eating and taking a bath, how much time does he have left for leisure activities?

Answer:

[A} 5x = 19

Step-by-step explanation:

Let's solve to see what the first step in solving the following equations:

5x - 4 = 15

Add 4 to both sides

5x - 4 + 4 = 15 + 4

5x = 19 {First step after solving}

Divide both sides by the same factor

5x/5 = 19/x

x = 3.8

Thus, the answer is [A] 5x = 19

Kavinsky

Answer:

[A] 5x = 19

Step-by-step explanation:

Solving to see first step:

5x - 4 = 15

     +4    +4          {15 + 4 = 19}

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

5x = 19    

Divide both sides by 5

5x/5 = 19/5

x = 19/5

x = 3.8

As you can see 5x = 19 is the first step result after solving.

~Lenvy~

Answer:

90 degree

Step-by-step explanation:

we can see that angle adf is a right angle which means it's value is 90 degree

Answer:

Its is 405 gallons

Step-by-step explanation:

If you need an explanation lmk!!!

Answer:

405 gallons

Step-by-step explanation:

The formula to find the amount of water is g=9m-0.17, so 45 is gonna go into the m spot

g=9(45)-0.17

g=405-0.17  <-After you multiply 9 and 45

g=404.83

Now you must round to nearest whole which is 405

I hope this helps

Answer:

Step-by-step explanation:

Properties of a parallelogram

Use the properties to find the required parameters

1) Find m∠YXV

2) Find m∠Y

3) Find x

Answer:

m∠YXV = 56°

m∠Y = 84°

x = 3

Step-by-step explanation:

Sum of interior angles of a triangle = 180°

⇒ m∠W + m∠WVX + m∠VXW = 180°

⇒ 84° + m∠WVX + 40° = 180°

⇒ m∠WVX = 56°

As VW ║ YX  and  YV ║ XW  then  m∠WVX = m∠YXV

So m∠YXV = 56°

In a parallelogram, opposite angles are congruent

⇒ m∠Y = m∠W

⇒ m∠Y = 84°

In a parallelogram, opposite sides lengths are congruent

⇒ VW = YX

⇒ 2x = 6

⇒ x = 6 ÷ 2

⇒ x = 3

Answer:

y=2x-5

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 2, and passes through the point (4,3)

We want to use point-slope form to find this equation of the line, yet we want to write this in slope-intercept form

Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

As we are already given the slope and a point, we can substitute these values into the formula to find the line.

First, substitute 2 as m in the equation:

[tex]y-y_1=2(x-x_1)[/tex]

Now substitute 4 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex]

[tex]y-3=2(x-4)[/tex]

This is the equation of the line in point-slope form.

Now we need to write it in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We can actually get to slope-intercept form from point-slope form.

First, distribute 2 to both x and -4 on the right side

y-3=2x-8

Now add 3 to both sides

y=2x-5

Hope this helps!

Answer:

so u have to shoe ur work right? so (-3,-1)=(-2,4-) there

Step-by-step explanation:

Answer:

6a²

Step-by-step explanation:

6×5² = 6×25 = 150cm²

thank you

Answer:

150 centimeters cubed

Step-by-step explanation:

[tex]6x2^2= 150[/tex]

Answer:

ok so this sounds kind of fancy but constant of proportionality just mean cups sold by amount made

9/12=0.75

so c

Hope This Helps!!!

Answer:

$4786.72

Step-by-step explanation:

4000(1+0.03/6)^12(3)

Use this formula to find the compounded interest after each 6 months, which would have an interest rate used to increase the amount of money.

Answer:

47

Step-by-step explanation:

To find the mean, you sum all the numbers, then count the number of numbers you summed up (amount of numbers in the array which in this case is 8) and then divide the two. So you get

Σarray/arraysize = 75+14+48... / 8

Answer:

Mean = 47

Step-by-step explanation:

Given terms :

The mean is equal to the sum of the terms divided by the number of terms.

Therefore, the mean is equal to :

Answer:

30 m is the original, and 60 m would be expanded

Step-by-step explanation:

perimeter=l+w+l+w so 12+3+12+3=30 and you could multiply that by 2 to make it 60m i believe

Answer:

  b) Jim

Step-by-step explanation:

Given the angle measures lf Jared's triangle, Jim can draw one that is similar. However he cannot draw one that is congruent without knowing the measure of at least one side.

__

Jim is correct that he needs more information.

Answer: 196 degrees

Step-by-step explanation:

Answer:

0.53

Step-by-step explanation:

A fraction bar can also mean division. So 8/15 the fraction also means 8÷15.

8÷15 = 0.5333333...

Rounding to the nearest hundredth means there should be only two numbers to the right of the decimal point.

8/15 ~= 0.53

Answer:

Below in bold.

Step-by-step explanation:

y = x^2-8x+6

y = (x - 4)^2 - 16 + 6

y = (x - 4)^2 - 10

So the vertex is at (4, -10)

The coefficient of x^2 of this function is 1 ( positive) so there will be  a minimum value.

Minimum value = -10.

x-intercepts:

(x - 4)^2 - 10 = 0

(x - 4)^2   =   10

x -  4 =  +/- √10

x =  4 +/- √10

- therefore there are 2 x-intercepts.

Answer:

(x + 2)(3x + 4)

Step-by-step explanation:

3x² + 10x + 8

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × 8 = 24 and sum = + 10

the factors are + 6 and + 4

use these factors to split the x- term

3x² + 6x + 4x + 8 ( factor first/second and third/fourth terms )

= 3x(x + 2) + 4(x + 2) ← factor out (x + 2) from each term

= (x + 2)(3x + 4) ← in factored form

[tex]\\ \rm\Rrightarrow 3x^2+10x+8[/tex]

[tex]\\ \rm\Rrightarrow 3x^2+6x+4x+8[/tex]

[tex]\\ \rm\Rrightarrow 3x(x+2)+4(x+2)[/tex]

[tex]\\ \rm\Rrightarrow (3x+4)(x+2)[/tex]

Done!

Answer:

[tex]y=\frac{3}{2}x-8[/tex]

Step-by-step explanation:

We can use the definition of slope-intercept form to answer this:

[tex]y=mx+b[/tex]

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

So all we do is stick in the numbers and we get:

[tex]y=\frac{3}{2}x - 8[/tex]

Answer:

9

Step-by-step explanation:

divide 32 by 3/8.

that is 1..3333

into a number that would be 9

Answer:

7.02ft

Step-by-step explanation:

Answer:

D no. is for sure another I also don't know. So sorry.......

Answer:

17/3

Step-by-step explanation:

x +  y +  z   = 47

y - x  = 10   x =  y - 10

z - y = 10     z = 10 + y      

y-10    +     y    +   10 + y    = 47

3 y = 47

 y = 47/3       x = 17/3     z = 77/3  

Answer:

5

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

3x + 2 = 17

3x = 7-2

3x = 15

x = 5

Answer:

x=5

Step-by-step explanation:

3x+2=17

or,3x=17-2

or,3x=15

or,x=15/3

or,x=5

Answer:

76

Step-by-step explanation:

4+4+4+4+4+4+8+8+18+18 = 76

Answer:

A)Let's let M = the number of Multiple choice problems and

N = the number of essay questions.

B)Also, since there are 36 questions altogether, we can say that

M + N = 36

So, therefore

M = 36 - N

Step-by-step explanation:

Hope this helped I couldn’t get C very confusing.

Answer:

2nd and 4th option

Step-by-step explanation:

The equivalent expression is,

⇒ 4 (5 - 2d)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 20 - 8d

Now, We can simplify the expression as;

⇒ 20 - 8d

⇒ 4 x 5 - 4 x 2d

⇒ 4 (5 - 2d)

Thus, The equivalent expression is,

⇒ 4 (5 - 2d)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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