A man's age is three times his son's age. Ten years ago, he was five times his son's
age. By forming two equations and solving them simultaneously, find both of their ages.

Answer:

A:Tina's. B: Gabby's

Step-by-step explanation:

Luckly the two people are using the same unit to measure both time (in weeks) and height (in inches), so no conversion needed.

At this point, let's start dealing with the questions.

A. They bought the plants at week 0.

For Tina, we calculate [tex]f(0) = 0+1.5 = 1.5[/tex]

For Gabby, we scout the table till we find week 0 and check the corrisponing value: it's (0; 1) Since 1 is smaller than 0, at start Tina plant was taller.

B. The easiest way would be to stare at Gabby's table for a bit, and notice that each increase is 2 more than the previous, and the progression starts at 1. We can write it as an equation as [tex]g(x) = 2x+1[/tex]. If you confront with Tina's growth, you can tell that Gabby's plant grows twice as fast - the slope is double. Else, you can see that even just after one week, Tina's plant will be 2.5 in tall, while Gabby's outgrew hers already. That's possible only if the plant is growing faster.

The sum of 6 and x is less than or equal to - 20.

Answer:  (6+x) ≤ -20

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

The value of x is 11.

The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.

Given equations

5x + 2y =  67

x = 3y - 7

substitute the value of x in equation 1

5(3y - 7) + 2y = 67

15y - 35 + 2y = 67

17y = 67 + 35

17y = 102

y = 6

and x = 3y - 7

x = 3(6) - 7

x = 18 - 7

x = 11

Hence value is 11.

Learn more about  linear equation in two variables;

https://brainly.com/question/24085666

#SPJ5

Answer:

I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.

Given that

(2+i)²/(3+i)

On multiplying both numerator and the denominator with (3-i) then

⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]

⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]

⇛ [(2+i)²(3-i)]/[(3²-i²)

⇛ [(2+i)²(3-i)]/(9-i²)

⇛ [(2+i)²(3-i)]/[9-(-1)]

Since ,i² = -1

⇛ [(2+i)²(3-i)]/(9+1)

⇛ [(2+i)²(3-i)]/10

⇛ [{2²+i²+2(2)(i)}(3-i)]/10

⇛ (4+i²+4i)(3-i)/10

⇛ (4-1+4i)(3-i)/10

⇛ (3+4i)(3-i)/10

⇛ (9-3i+12i-4i²)/10

⇛ (9+9i-4(-1))/10

Since, i² = -1

⇛(9+9i+4)/10

⇛(13+9i)/10

⇛ (13/10)+ i (9/10)

We know that

The conjugate of a+ib is a-ib

So,

The conjugate of (13/10)+ i (9/10) is

(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)

Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)

Additional comment:

Answer:

11) x = 21

12) x = 110

13) x = 85

14) x = 137

Step-by-step explanation:

Hope it helped <3

Answer:

128

Step-by-step explanation:

8×8 = 64

8×4 = 32

8×4 = 32

64 + 32 + 32 = 128

Answer:

x = 2

Step-by-step explanation:

Given:

If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.

=> -2x + 7 = 5х – 7

=> 7x = 14

=> x = 2

Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.

=> y = 5х – 7

=> y = 5(2) - 7

=> y = 10 - 7

=> y = 3

Hoped this helped.

Answer:

Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.

Step-by-step explanation:

An example is attached! The purple-ish on the right would be your solution set.

Step-by-step explanation:

-2x-6=8x+ 12-x-4

x-2x-6=8x+12-4

-2x - 6 = 7x + 8 or -9x - 6 = 8 are the equivalent equation.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

To solve the equation -2(x+3)= 4(2x+3)-(x+4), Katrina can use equivalent equations obtained by simplifying each side of the equation using the distributive property, combining like terms, and solving for x.

One possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4 \\-2x - 6 = 7x + 8[/tex]

Another possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4\\ -2x - 6 = 7x + 8\\-9x - 6 = 8\\-9x = 14 \\x = -14/9\\[/tex]

Therefore, the equivalent equations that Katrina can use to solve the original equation are:

-2x - 6 = 7x + 8 or -9x - 6 = 8

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ7

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope- formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table

m = [tex]\frac{6-15}{1-(-2)}[/tex] = [tex]\frac{-9}{1+2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (2, - 3 ) , then

- 3 = - 6 + c ⇒ c = - 3 + 6 = 3

The y- intercept c = 3 → D

Answer:

26, 28

Step-by-step explanation:

2n , 2n + 2

2n + 2n + 2 = 54

4n + 2 = 54

4n = 52

n = 13

2n = 26

2n + 2 = 28

Answer:

Step-by-step explanation:

The sum of two consecutive even numbers is 54 find the answer

(54 - 2) : 2 = 26

26 + 2 = 28

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

check

26 + 28 = 54

Answer:

30

Step-by-step explanation:

What you need to do is add all the sides when you want to find perimeter so for this one you would want to do 8+8+7+7 and that should give you 30. I hope I could help!!

Answer:

Step-by-step explanation:

assuming it is a rectangle, there is no information on the shape of the quadrilateral, add all sides.

7 + 8 + 7 + 8 = 30 units

Answer:

6,10,14

Step-by-step explanation:

Answer:

30:1

Step-by-step explanation:

If you type 30 words every minute, it would be 30 words to 1 minute, which is 30 words : 1 minute, 30:1.

Plz post your question now....

Answer:

[tex]{ \tt{pressure = \frac{force}{volume} }} \\ \\ { \tt{4900 = \frac{70.56}{v} }} \\ \\ { \tt{v = \frac{70.56}{4900} }} \\ \\ { \tt{ \underline{ \: v = 0.0144 \: {m}^{3} \: }}}[/tex]

Answer:

0.83 pounds

Step-by-step explanation:

2.45 take away 1.62

Answer:

Commission = $24.75

Step-by-step explanation:

Commission = Sale Price × Commission %

Commission = $450 × .055                                   5.5% = as a decimal (.055)

Commission = $24.75

Answer:

the slope is -5x

Step-by-step explanation:

y=mx+b

m= slope

b= y-int

x= vairable

y= answer

Answer:

Median;$1.35 million

Step-by-step explanation:

You are a sports agent’s assistant. You are preparing a report on contracts you have obtained for the agent’s clients. You recently negotiated the following annual contracts: $2.8 million, $18.9 million, $1.5 million, $1.2 million, $1.5 million, and $3.5 million per year. The standard deviation of the data is 6.3, and the range is 17.7.

Which measure of center is most appropriate, and what is the value of the measure of center?

median; $1.35 million

mode; $1.5 million

median; $2.15 million

mean; $4.9 million

mean; $5.58 million

Answer: 1.35 is wrong.

Step-by-step explanation:

Answer:

The original price of the coat is $ 73.5Step-by-step explanation:Let x be the original price( in dollars ) of the coat.

Step-by-step explanation:

Answer:

2i

Step-by-step explanation:

Distribute:

(5y + 2)(y - 3)

5y^2-15y+2y-6

Which can be simplified into 5y^2-13y-6

Now the equation now looks like this: 5y^2-13y-6=-13(2+y)

For -13(2+y) multiply -13 with 2+y

Which is -26-13y

5y^2-13y-6=-26-13y

Simplify:

5y^2+20

Which can be simplified into 5(y^2+4)

y^2+4=0

y^2=-4

y=2i

Hope this helps!

Answer:

n+45

Step-by-step explanation:

Just name "a number" as n or any other variable

Answer:

45 + x

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

4 quest make 1 gallon so 4*3=12

Answer: x = -(8/3)

Step-by-step explanation:

7=3(5+x)

7=15+3x

3x = -8

x = -(8/3)

Answer:

B

Step-by-step explanation:

Answer:

3.Top: |-80| + |50| = 80 + 50 = 130m

Bottom: same as top

Left: |50| + |-20| = 50 + 20 = 70m

Right: same as left

4.

130m+130m+70m+70m=400m

The perimeter is 400 meters