The ratio of Val's savings to Dan is 2:3 at first. After Dan spent P3000.00, Val's saving became 11/3 more of that Dan's remaining savings. What is the total amount of saving the two had at first

Answer:

Total tax = $25.51

Step-by-step explanation:

Total collection = $1265.23

Tax-Free amount =  $840

so

Taxable amount = $1265.23 -  $840

                            = $425.23

Given that the taxable amount was taxed at 6%

Thus,

The total tax = 6% of 425.23

                     = 6/100 × 425.23

                     = 0.06 × 425.23

                      = $25.51

Therefore,

Answer:

(-3/2, -11/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = x - 4

y = 4x + 2

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer by Khan Academy:

x=−2

y=−6

​ Hope This Helped Everyone

Step-by-step explanation:

Answer:

11:37.02 pm

Step-by-step explanation:

11:59 pm - 21:58 minutes = 11:37.02 pm

Step-by-step explanation:

12x-3y+z＝-7 ‖-12x+3y

z＝-7-12x+3y

so you can replace z with (-7-12x+3y)

4y+3*(-7-12x+3y)＝-7

4y+(-21-36x+9y)＝-7

13y-21-36x＝-7 ‖+21

13y-36x＝14 ‖-13y

-36x＝14-13y ‖*(-1)

36x＝-14+13y ‖/3

12x＝-14/3+13/3y

so-6x＝+14/6-13/6y

(+14/6-13/6y)+2y-2*(-7-(-14/3+13/3y)+3y)＝12

(+14/6-13/6y)+2y+14-28/3+26/3y-6y＝12

(+14/6-13/6y)+2y+14-56/6+52/6y-6y＝12

7+2.5y＝12 ‖-7

2.5y＝5 ‖/2.5

y＝2

so

4y+3z＝-7

4*2+3z＝-7

8+3z＝-7 ‖-8

3z＝-15 ‖/3

z＝-5

12x-3*2+(-5)＝-7

12x-6-5＝-7

12x-11＝-7 ‖+11

12x＝4 ‖/12

x＝1/3

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

the answer is D you subtract it on both sides to get rid of the 15

Answer:

16/12

Step-by-step explanation:

SOHCAHTOA

TOA - tan theta = Opposite/ Adjacent

Tan theta = 16/12

= 16/12

if you were told to find theta, then

tan inverse ( 16/12)

theta will be 53.13 degrees

The tangent of the given right angle triangle is [tex]\frac{16}{12}[/tex].

A right angle triangle is a triangle in which one of the three angles is a right angle.

"In any right angle triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as 'tan'."

Given, Base of the right angle triangle is = 12.

The height of the right angle triangle is = 16.

The hypotenuse of the right angle triangle is = 20.

The angle between the base of the triangle and the hypotenuse is = θ.

Now,  tan θ

[tex]= \frac{Height}{Base}\\= \frac{16}{12}[/tex]

Therefore, tan θ of the given right angle triangle is  [tex]\frac{16}{12}[/tex].

Learn more about the tangent of a right angle triangle here: https://brainly.com/question/3770177

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Answer:

x+16=4x-5

16+5=3x

21=3x

21/3=x

x=7

Answer:

2,206 yards

Step-by-step explanation:

To find how many yards there are, we can divide by 3.

6618 / 3 = 2206

Best of Luck!

Answer:

6,618 feet is 2,206 yards.

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

4 * 100 / 32 = 12.5

Answer:

This is the sample answer:

The new histogram shows that 7 trucks have a fuel efficiency of 10 to 14 miles per gallon. It’s also possible to see that the shape of the data is skewed right.

Step-by-step explanation:

Answer:

5001

PewDiePie

both!!

rblx, since there r similar games like mincraft in it lol

Answer:I want brainlest,5001 SUPA HARD pewdiepie (i subed)

I prefer minecraft i like both

Step-by-step explanation:

Not sure if thats what u wanted lol :D

Answer:

4.25   wewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewewe

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since AB and ED are parallel and AE is the transversal, angle A and E are congruent

So m∠E = m∠A = 50°

The value of angle E is 50.

An angle is a combination of two rays (half-lines) with a common endpoint.

Given:

ΔCAB ~Δ CED

AB || CD

As, ΔCAB ~Δ CED

So, the corresponding angle is equal.

<A = <E

<B= <D

So, <A= <E =50. (given)

Hence, the m<E =50.

Learn more about angle here:

https://brainly.com/question/13954458

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Answer:

74

Step-by-step explanation:

its easy so you add 23 and 51 and you got the answer.

Answer:

5/13

Step-by-step explanation:

OM is 5 and OL is 13 use Pythagoreans theorem

Given :

June's mother was 29 when June was 5 years old.

To Find :

How old will June be when she is one-quarter her mother's age.

Solution :

Let, age of June when she is one-quarter her mother's age is x and mother's age is y.

So, y = 4x   ...1)

Also, we know that difference between two person's age is constant.

So, y - x = 29-5

y - x = 24    ...2)

Solving equation 1 and 2, we get :

[tex]4x -x = 24\\\\3x = 24\\\\x = 8[/tex]

y = 32

Therefore, June will be 8 years old when is one-quarter her mother's age.

Answer:

15 possible combinations

Step-by-step explanation:

Given

[tex]Vegetables = 6[/tex]

[tex]Selection = 2[/tex]

Required

Determine the possible number of combinations

The question emphasizes on "selection" which means "combination".

So; To answer this question, we apply the following combination formula:

[tex]^nC_r = \frac{n!}{(n-r)r!}[/tex]

In this case:

[tex]n = 6[/tex]

[tex]r = 2[/tex]

The formula becomes:

[tex]^6C_2 = \frac{6!}{(6-2)!2!}[/tex]

[tex]^6C_2 = \frac{6!}{4!2!}[/tex]

[tex]^6C_2 = \frac{6*5*4!}{4!2*1}[/tex]

[tex]^6C_2 = \frac{6*5}{2}[/tex]

[tex]^6C_2 = \frac{30}{2}[/tex]

[tex]^6C_2 = 15[/tex]

Hence, there are 15 possible combinations

Step-by-step explanation:

.

The centroid is 2/3 of the opposite side. of the distance from each vertex to the midpoint. 8. To inscribe a circle about a triangle, you use the.

5 pages·2 MB

The complete statement is: the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side

The properties of a centroid are:

The second highlight above means that: the statement is to be completed with 2/3

Read more about centroids at:

https://brainly.com/question/1189196

Answer:

A linear equation is of the form:

y = a*x + b

Where a and b are real numbers, and we only have one term with x, and no powers of x larger than 1.

Let's rearrange all the given options to see if they take this form. I will isolate x for all of them.

a) 2x + 5y = 13

5y = -2*x + 13

y = (-2/5)*x + 13/5

(this is a linear equation)

b) -x^2 = 3y + 10

 -3*y = x^2 + 10

y = (-1/3)*x^2 + 10/3

(this is not a linear equation)

c) 3(2x + y) = 14

 6x + 3y = 14

 3y = 14 - 6x

y = (-6/3)*x + 14/3

(this is a linear equation)

d) y = 13 - 2*x^2

(this is not a linear equation, we have a x^2 there)

e) 2 = y + x^5

-y = x^5 - 2

(this is not a linear equation, we have a x^5 there)

f) y = x + 7

we can rewrite this as:

y = 1*x + 7

(this is a linear equation)

Answer:

i just wanted to say, that I took the test and A and F are correct, but C (the person above me says C is correct) is not correct

Step-by-step explanation:

Answer:

0.375 and 37.5%

Step-by-step explanation:

3/8 = 0.375

0.375*100=37.5%

Answer:

(x-4)(5x³+18x²+54x+215)+860

Step-by-step explanation:

This follows that when the fourth degree polynomial is divided by the monomial(x-4),it gives a third degree polynomial and some remainder r

That is:

5x⁴-2x³-18x²-x/x-4=(ax³+bx²+cx+d)+r

if so,then

5x⁴-2x³-18x²-x=(x-4)(ax³+bx²+cx+d)+r

5x⁴-2x³-18x²-x=ax⁴+bx³+cx²+dx-4ax³-4bx²-4cx-4d+r

5x⁴-2x³-18x²-x=ax⁴+x³(b-4a)+x²(c-4b)+x(d-4c)-4d+r

We can now equate the similar terms thus,the terms with the same power of x on both sides

5x⁴=ax⁴,a=5

Again,

b-4a=-2,but a=5

b-4(5)=-2

b-20=-2

b=18

Again,

c-4b=-18(but b=18)

c-4(18)=-18

c-72=-18

c=54

Again,

d-4c=-1(but c=54)

d-4(54)=-1

d-216=-1

d=215

Finally,

-4d+r=0(but d=215)

-4(215)+r=0

r-860=0

r=860

This means that when 5x⁴-2x³-18x²-x is divided by x-4,it gives5x³+18x²+54x+215 with a remainder of 860

Now rewriting it in the form as required by the question=(x-4)(5x³+18x²+54x+215)+860

9514 1404 393

Answer:

  A: x = 2

  B: x < 5

Step-by-step explanation:

Part A:

Substitute the given value and solve for x.

  f(x) = 3(x +6)

  24 = 3(x +6)

  8 = x +6 . . . . . . divide by 3

  2 = x . . . . . . . . . subtract 6

__

Part B:

Eliminate parentheses, solve the 3-step inequality.

  2(x -4) > 4x -18

  2x -8 > 4x -18

  -8 > 2x -18 . . . . . . . subtract 2x

  10 > 2x . . . . . . . . . . add 18

   5 > x . . . . . . . . . . . divide by 2

The solutions for x include any value less than 5.

Answer:

[tex]x = 30^{\circ}[/tex]

Step-by-step explanation:

Given

Parallel lines A and B

Required

Determine the value of x

From the attachment, 2x and 4x are consecutive interior angles and the theorem of consecutive interior angles is that:

[tex]2x + 4x = 180[/tex]

Solving further, we have:

[tex]6x = 180[/tex]

Divide both sides by 6

[tex]\frac{6x}{6} = \frac{180}{6}[/tex]

[tex]x = \frac{180}{6}[/tex]

[tex]x = 30^{\circ}[/tex]