Linear equation


Gina is 3 years older than Susan. The sum of their ages is 12 years more than Susan’s age. How old is Susan ?

Answers

Answer 1
Answer:

Susan = x

Gina = 3x

Sum of their ages = 12

Susan's age = ?

We can see that,

[tex]2x=10

x = \frac{10}{2}x=

2

10

x = 5x=5[/tex]

Susan is 3 years old.


Related Questions

find the measure of an interior angle of a regular decagon (10 sided polygon)

Answers

Answer:

1440°

Step-by-step explanation:

The sum of angles in a polygon is (n - 2)180 where n = number of sides.

A decagon has 10 sides, so n = 10

(10 - 2)180

8(180) = 1440°

Answer:

the answer is 144

Step-by-step explanation:

How do I do this ( answer please )

Answers

Answer:

I think see what circuit is connected to the light

Step-by-step explanation:

The measure of 1 in the diagram below is 113º.

What is the measure of <4?

Answers

Answer: 67°

Step-by-step explanation:

From the diagram given, we can see that 1 and 4 are angles on a straight line. It should be noted that sum of angles on a straight line equals to 180°.

Therefore,

Angle 1 + Angle 4 = 180°

113° + Angle 4 = 180°

Angle 4 = 180° - 113°

Angle 4 = 67°

Therefore, the measure of <4 is 67°

I have to solve the equation:
[tex] |4 \sqrt{2} - 6 | + |2 \sqrt{10} - 6| [/tex]
The first thing I tried is simply removing the modules, it seemed like the most logical solution and this is the answer I got, but it wasn't any of the options:
[tex]4 \sqrt{2} + 2 \sqrt{10} + 12[/tex]
The second thing I tried is putting both equations in one module and sum the first one with the second one in parentheses like this:
[tex] |4 \sqrt{2} - 6 + (2 \sqrt{10} - 6 | = \\ = |4 \sqrt{2} - 6 + 2 \sqrt{10} + 6 | = \\ = 4 \sqrt{2} + 2 \sqrt{10}[/tex]
But this wasn't in the answers either.
After I checked, the correct answer was:
[tex]2 \sqrt{10} - 4 \sqrt{2} [/tex]
So I was wondering where does the minus come from?

It is in a module and between the modules, there's a plus and even if that plus somehow turns into a minus when it goes inside the modules, which I'm not aware of, it would still turn into a plus because it is in a module ;-; Or I'm just st*pid, I don't know. ​

Answers

Think back to the definition of absolute value:

• If x ≥ 0, then |x| = x.

• If x < 0, then |x| = -x.

In other words, the absolute value always returns a positive number. So if x is positive, leave it alone; but if it's negative, then you have to negate it to get a positive number back.

This means that you cannot simply reduce |x - y | to x - y because you need to consider the possibility that x - y may be negative, in which case |x - y | would reduce to -(x - y) = y - x.

In this case,

|4√2 - 6| = -(4√2 - 6) = 6 - 4√2

because 4√2 < 6, which you can determine by comparing both of these numbers as square roots:

4√2 = √16 √2 = √32

6 = √36

and √32 < √36 because 32 < 36.

Similarly,

|2√10 - 6| = 2√10 - 6

because

2√10 = √4 √10 = √40

6 = √36

So ultimately,

|4√2 - 6| + |2√10 - 6| = (6 - 4√2) + (2√10 - 6) = 2√10 - 4√2

Jacob drove 450 miles at an average rate of 65 miles per hour. Rounded to the nearest tenth of an hour, how long did the trip take

Answers

Time = distance / speed

Time = 450 miles / 65 miles per hour

Time = 6.9 hours

I need help please! ASAP!

Answers

Answer:

Step-by-step explanation:

the answer is 10 you’re welcome

Paula reside em uma cidade em que a densidade demográfica é igual a 5 500 hab/km2. Nessa cidade, a população está distribuída em um território de 80 km2. Qual é a população da cidade em que Paula reside? 11 078. 440 000. 880 000. 1 760 000.

Answers

Answer:

RESPOSTA:B) 440.000

Step-by-step explanation:

UMA BASICA EXPLICAÇÃO: BASTA PEGAR OS 5 500HAB/KM

E MULTIPLICAR ELE PELO TERRITORIO QUE É:80KM

5 500HAB × 80KM = 440.000

Is how far from work do all the employees live a statistical question

Answers

Answer:

need more info sry

Step-by-step explanation:

In the United States, the average public school teacher currently earns an annual salary near $55,202. Reported national average salaries for the last six decades are listed below.

Year National Average

Teachers’ Salary
1960 $4,995
1970 $8,626
1980 $15,970
1990 $31,367
2000 $41,807
2010 $55,202
Determine the average salary increase per year between the years 1980 and 1990.

$1,539.70
$8,367.80
$2,566.20
$1,004.10


A is right

Answers

Step-by-step explanation:

Obviously A is the correct answer you have already gave us hint. Btw thanks for the pts

Ms.Jane runs a boutique in Jumeirah. She bought 50 m cloth to stitch shirts for her boutique.If one shirt requires 2m 15cm of the cloth then

Answers

Answer: 23 shirts

Step-by-step explanation:

Given

Ms. Jane bought 50 m cloth to stitch shirts

If one shirt requires 2m and 15 cm cloth i.e. [tex]2+0.15=2.15\ m[/tex]

No of shirts that can be made using 50 m cloth

[tex]\Rightarrow \dfrac{50}{2.15}=23.25\approx 23\ \text{Shirts}[/tex]

Therefore, Ms. Jane can made 23 shirts from 50 m cloth.

A fruit company recently released a new applesauce. By the end of its first​ year, profits on this product amounted to $37,000. The anticipated profit for the end of the fourth year is $68,200. After the first​ year, the ratio of change in time to change in profit is constant. Let x be years and P be profit in dollars. a. Write a linear function​ P(x) that expresses profit as a function of time. ​P(x)=

Answers

Answer:

P(x) = 35,900 + 2,800(x-1)

Step-by-step explanation:

P(x)

P(1) = $35,900

P(4) = $44,300

Difference in profits

P(4) - P(1)

= P(3)

= $44,300 - $35,900

= $8,400

Rate of change per year = $8,400 / 3

= $2,800 per year

The linear equation

P(x) = 35,900 + 2,800(x-1)

Where

x = number of years

Help with this ASAP please

Answers

Answer:

86

Step-by-step explanation:

43×2=86

bisector means halves an angle into two equal angles

Find the value of k if the slope of the line 2x-ky+3=0 is 5/3

Answers

Answer:

6/5

Step-by-step explanation:

2x+3=ky

ky=2x+3

y=(2x+3)/k

y=2x/k + 3/k - > equation 1

y=mx + c - >equation 2

Comparing equation 1 and 2,

2/k=m

2/k=5/3

6/5=k

k=6/5

the expression -7y is called what

Answers

Answer:

called "pi".

Step-by-step explanation:

Each month, Kelsey donates 1/5 of her allowance to her school for supplies. 1/2 of that amount goes to the chorus class. How much of her allowance goes to supplies for the chorus class?
Please show your work.
Thank you :)

Answers

every month 1/10 of her allowance goes to chores class because 1/5x1/2 = 1/10 or 1/2 of 1/5 is 1/10

In January, a bookstore sells 450 books, but in February, it sells only 300 books. What is the percent of change from January to February?

66.7%
-50%
-33.3%
50%

Answers

Answer:

-33.33%

Step-by-step explanation:

((450-300)÷450)×100

(150÷450)×100

-33.33%

-33.3% is the right answer

please please please help

Answers

Answer:

a S(-3) = 2(-3)(-3)+5(-3)-12

=18-15-12

=-9

b 2x2+5x-12=0

2x2+8x-3x-12=0

2x(x-4)-3(x+4)=0

(2x-3)(x+4)=0

2x-3=0

x=3/2

x=-4

sorry I couldn't answer the other question

Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is.

y = -x 2 + 6x + 5



HELP PLEASE!!!!!!

Answers

Answer:

-(x-3)²+14

maximum

(3,14)

Step-by-step explanation:

y= -x²+6x+5

y-5= -x²+6x

y-5= -(x²-6x)

complete the square

y-14= -(x²-6x+9)

x²-6x-9= -(x-3)²

y-14= -(x-3)²

y= -(x-3)²+14

maximum because a is negative

vertex is (3,14)

Does this help? Vertex form: y(x) = 4x + 5

Mathematicians 4: Who is Who?
Unit: Factoring Quadratics
Factor the following quadratic equations to determine each person's name: Show your work

Answers

Answer:

a. x = -9 or x = -2

b. -5(x - 4)

c. x = -3 or x = 5

d. x = ±7

Step-by-step explanation:

a. First person;

y = x² + 11x + 18

y = x² + 9x + 2x + 18

y = x(x + 9) + 2(x + 9)

y = (x + 9)(x + 2)

y = x = -9 or x = -2

b. Second person;

y = -5x + 20

The common factor is 5.

y = -5(x - 4)

c. Third person;

y = x² - 2x - 15

y = x² - 5x + 3x - 15

y = x(x - 5) + 3(x - 5)

y = (x + 3)(x - 5)

y = x = -3 or x = 5

d. Fourth person;

y = x² - 49

Applying the difference of squares formula;

(a² - b²) = (a - b)(a + b)

y = x² - 49 = x² - 7² = (x - 7)(x + 7)

y = (x - 7)(x + 7)

y = x = ±7

A building casts a 21 foot shadow along the ground. A person 5 feet 3 inches casts a shadow 7 feet long.



How tall is the building?

Answers

Answer:

~28

Step-by-step explanation:

5 feet 3 inches is 5.25 feet.

We divide 7/5.25 which equals 1.3333333333333 (repeating)

That means we multiply 21 by 1.333333333333 which would round up to 28 feet. (the exact answer is 27.99999999999999999)

4. Find the solution for the following problem. Explain your reasoning."
What is the solution to the equation below?
2(x - 3) = 2x + 5

Answers

Answer:

no solution

Step-by-step explanation:

Given

2(x - 3) = 2x + 5 ← distribute parenthesis on left side

2x - 6 = 2x + 5 ( add 6 to both sides )

2x = 2x + 11 ( subtract 2x from both sides )

0 = 11 ← not possible

This indicates the equation has no solution

Distribute 5x\left(1+3x\right).5x(1+3x)

Answers

Answer:

5x + 15x²

Step-by-step explanation:

Given the expression 5x(1+3x)

Generally, according to the distribution rule,

A(B+C) = AB + AC

A is distributed over B and C

Similarly,

5x(1+3x)

= 5x(1) + 5x(3x)

= 5x + 15x²

Hence the expression required is 5x + 15x²

Write 5/8 as a sum of fractions two different ways.

Answers

Answer:

2/8 + 3/8

1/8 + 4/8

Step-by-step explanation:

I hope this is what you mean!

If this helps you, please mark brainliest!

The requried, 5/8 can be expressed in two different ways of the sum as  1 / 8 + 4 / 8 and 2/8 + 3/8.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
As mentioned in the quesiton, to determine 5/8 as a sum of fractions in two different ways.

5 / 8 = a / 8 + b / 8
5 = a + b

So the above-modeled equation, gives the required fraction, by assuming a value that satisfies the equation,
For a = 1, 2, 3, 4 , b = 4, 3, 2, 1

So different combination is given as, 1 / 8 + 4 / 8 and 2/8 + 3/8.

Thus, the requried, 5/8 can be expressed in two different ways of the sum as  1 / 8 + 4 / 8 and 2/8 + 3/8.

Learn more about fractions here:
https://brainly.com/question/10708469

#SPJ2

quiere cercar con alambre un terreno rectangular que mide 180 m (metros) de largo por 85 m de ancho.¿cuantos metros de alambre necesita? ¿Con qué concepto matemático relacionas esta situación?

You want to wire a rectangular piece of land that is 180 m (meters) long by 85 m wide. How many meters of wire do you need? With what mathematical concept do you relate this situation?

Answers

Answer:

The wire required to fence is 530 m.

Step-by-step explanation:

Length, L = 180 m

Width, W = 85 m

The perimeter of the wire is

P = 2 (L + W)

P = 2 (180 + 85)

P =  530 m

So, the wire required to fence is 530 m.

Explain how to use the standard normal table to
find the probability associated with the shaded
area under the curve.
A
^
-3
-2.
0
1
2
3
0.4
1.9

Answers

The probability associated with the shaded area under the curve is 0.6267

How to determine the probabilities?

From the curve, we have the following parameters:

z1 = 0.4

z2 = 1.9

Using the standard normal table, determine the p values at the respective z-scores

P(z >0.4) = 0.3446

P(z<1.9) = 0.9713

The probability is then calculated using:

P = P(z<1.9) - P(z >0.4)

Substitute the known values

P = 0.6267

Hence, the probability associated with the shaded area under the curve is 0.6267

Read more about probability at:

https://brainly.com/question/15076391

Answer:

The standard normal table gives areas under the curve to the left of z-scores.

Find the probability in the standard normal table that a value is to the left of 1.9.

Find the probability in the standard normal table that a value is to the left of 0.4.

Subtract the probability of a value being to the left of 0.4 from the probability of a value being to the left of 1.9.

Use the image to complete the equation below

Answers

11y-36= 63° because of the angles theorem.

What happens if simultaneous Equations have two of the same variable like below? How would I solve it?

6A + 4B + 5C = 390
6A + 4B + 5.75C = 405​

Answers

Answer:

C = 20

Step-by-step explanation:

What happens if simultaneous Equations have two of the same variable like below? How would I solve it?

6A + 4B + 5C = 390

6A + 4B + 5.75C = 405​

Step 1

We solve for C first

6A + 4B + 5C = 390....Equation 1

6A + 4B + 5.75C = 405​... Equation 2

We substract Equation 1 from Equation 2

0.75C = 15

C = 15/0.75

C = 20

Solve for x:
2x + 5 = 12

Answers

Answer:

x = 7/2

Step-by-step explanation:

2x + 5 = 12

Subtract 5 from each side

2x + 5-5 = 12-5

2x = 7

Divide each side by 2

2x/2 = 7/2

x = 7/2

Answer:

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

Step-by-step explanation:

Let's solve:

[tex]2x+5=12[/tex]

Step 1: Subtract 5 from both sides.

[tex]2x+5−5=12−5 \\

2x=7[/tex]

Step 2: Divide both sides by 2.

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

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

A group of friends wants to go to the amusement park. They have no more than $230 to spend on parking and admission. Parking is $8, and tickets cost $27.75 per person, including tax. Write and solve an inequality that can be used to determine xx, the number of people who can go to the amusement park.

Answers

Answer:

6 people

Step-by-step explanation:

$230 - $8 = $222

x · 35.75 = 222

x · 35.75 ÷ 35.75 = 222 ÷ 35.75

[tex]x=6\frac{30}{143}[/tex]

is x = 3 a function or not a function ?!

Answers

Answer:

x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.

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