Johnny and Mark's combined age is 26 years old. Johnny is two years older than twice Mark's age. Write a system of equations and solve for each of their ages

Answer:

1.9x+3.7

Step-by-step explanation:

Subtract 3.6x-1.7x

and 5.9-2.2    

The solution is 1.9x + 3.7

The value of the equation is given as A = 1.9x + 3.7

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 3.6x + 5.9 - 2.2 - 1.7x   be equation (1)

On simplifying the equation , we get

On grouping the similar terms

The value of A = ( 3.6x - 1.7x ) + ( 5.9 - 2.2 )

The value of A = 1.9x + 3.7

Therefore , the value of A is 1.9x + 3.7

Hence , the equation is A = 1.9x + 3.7

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Answer:

48

Step-by-step explanation:

Answer:

48!!!

Step-by-step explanation:

2(27+1 /7) +5*8

2(28/7)+5*8

28/7=4

2(4)+5*8

8+40

=48

Answer:

5

Step-by-step explanation:

1.) [tex]\frac{2n-3}{5} = 5[/tex]

/ 5          /5

(2n - 3) = 1

      +3     +3

2n = 4

/2      /2

n = 2    <--- your answer

Answer:

similarity

Step-by-step explanation:

look , dude

the two triangles have the following features:

the angle B= angle C = 90 degree

the angle A= the angle F

so  the third angle in the first triangle = the third angle in the second triangle

so you have one condition of similarity which is the three angles are equal

to get the answer for lengths :

ab/fe= constant of proportionality

thus ab/fe=2.5/5=.5

so ac/13=.5 thus ac=6.5

and 6/de=.5 so de=12

Both similarity and Pythagorean theorem can be used to find the missing lengths as AC = 6.5 and DE = 12.

Similar triangles are those triangles which has the same shape but different size.

The length of sides and angles are proportional in similar triangles.

Pythagorean theorem states that for a right angled triangle,

Hypotenuse² = Base² + Altitude²

AC² = BC² + AB²

AC² = 6² + 2.5²

AC² = 42.25

AC = √(42.25) = 6.5

Similarly,

DF² = DE² + EF²

13² = DE² + 5²

DE² = 13² - 5²

DE² = 144

DE = √(144) = 12

If we are using the concept of similarity, ratio of corresponding sides are equal for similar triangles.

AB / EF = BC / DE = AC / DF

2.5 / 5 = 6 / DE = AC / 13

Consider 2.5 / 5 = 6 / DE

Then DE = (6 × 5) / 2.5 = 12

Consider AB / EF = AC / DF

2.5 / 5 = AC / 13

AC = (2.5 / 5) × 13 = 6.5

Hence the missing lengths are AC = 6.5 and DE = 12.

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Answer:

x = 6

Step-by-step explanation:

According to Exterior Angle Property of a triangle , measure of an exterior angle is the sum of its opposite interior angles.

Using the exterior angle property ,

[tex]17x - 23 = 3x + 17 + 8x - 4[/tex]

[tex] = > 17x - 23 = 11x + 13[/tex]

[tex] = > 17x - 13x = 23 + 13[/tex]

[tex] = > 6x = 36[/tex]

[tex] = > x = \frac{36}{6} = 6[/tex]

Answer:

gjkddjygdbdbexbdbdbdheeh$70

Answer:

-18

Step-by-step explanation:

9/4 x -8/1

-72/4

-18

Answer:

900°

Step-by-step explanation:

What is the sum of the measures of the interior angles of a 7-gon?

The formula to measure the interior angles of a polygon

= (n- 2) × 180 °

Where,

n = number of sides

We are given 7 - gon

This means it has 7 sides = Heptagon

Hence,

The measure of the interior angle is given as:

(7 - 2) × 180°

= 5 × 180°

= 900°

The sum of the interior angles of a 7-gon is 900°

Answer: 66.10

Step-by-step explanation:

Sin^-1(32/35)

Answer: 23 years

Step-by-step explanation:

From the question, we are informed that the length of an island is decreasing a rate of 16 inches per year. The number of years that it will take for the change in length of the island to be -364 inches would be gotten by dividing 364 by the rate of decrease every year which is 16 inches. Therefore, this would be:

= 364 / 16

= 22.75 years

= 23 years approximately

Answer:

2 or C

Step-by-step explanation:

I'm taking this to mean

4 = 2(x - 1)^2

4 = 2(x^2 - 2x + 1)

4 = 2x^2 - 4x + 2

2x^2 - 4x - 2  =  0

x^2 - 2x - 1 = 0

What you get from here is sqrt(2) as one of the roots.

That is not nearly an answer.

4 = 4(x -1)

4 = 4x - 4

8 = 4x

x = 8/4

x  =  2

That makes C the answer.

Answer:

$45.30

Step-by-step explanation:

Divide $73.50 by 5 = $15.10

Multiply $15.10 by 3 = $45.30

Answer:

44.1

Step-by-step explanation:

73.50/5=14.7

14.7x3=44.1

Answer:

Properties of operations help a lot in solving problems related to integers and rational numbers. Step-by-step explanation: ... These properties are used to solve problems involving rational numbers as well as integers. These properties are associative,commutative, distributive and identity.

Step-by-step explanation:

pls give me brainliest

2/5 + 2/5 = 4/5

So, 2

Answer: 2100 square feet

Step-by-step explanation: 60 x 35=2100

Answer:

2100 ft squared!

Step-by-step explanation:

The formula to find the area of a rectangle is L * W = A

Where A is the total area, and L and W are the dimensions.

Since we know what the dimensions of the rectangles are, we can replace L and W to find out the area. This will look like this: 60 * 35 = A

Now we just have to multiply 60 and 35 to find A. This will simplify to 2100, which means the total are of the rectangle, or in this case, the soccer field, is 2100 ft squared!

Answer:

y= 3/2 x -2

Step-by-step explanation:

I guess you want to find the y=mx+b form

So you do +3x on both sides which will gave you: 2y= 3x-4

Then, you will divide by two on both sides to find the y value: 2y/2 = (3x-4)/ 2

So 3/2 is the fraction like the answer above and -4/2 = -2

Hope that helps :)

Answer:

2/5+1/10

Step-by-step explanation:

2/5 ×2/2= 4/10

4/10+1/10=

5/10=1/2

Answer:

3. (2, 1)

Step-by-step explanation:

The solutions are the points located inside the shaded region. The only point not located in that region is the point (2, 1). Therefore, (2, 1) is not a solution to the system of inequalities.

Answer:

5/7 x 14/20= 1/2 or 0.5

Answer:

r=28

Step-by-step explanation:

36/42 = 24/r (determine the defined range)

36/42 = 24/r , r ≠ 0 ( Reduce the fraction)

6/7 = 24/r (cross multiply)

6x = 168 ( divide both sides)

r=28 , r ≠ 0

Answer:

r = 28

Step-by-step explanation:

Cross multiply and solve for r:

[tex]\frac{36}{42}[/tex] = [tex]\frac{24}{r}[/tex]

36r = 1008

r = 28

So, r = 28

Answer:

1880... good luck.. have a grate day

Answer:

33

Step-by-step explanation:

4:7

7+4=11

11 parts

24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40

there are 33

33 is a multiple of 11

please give me brainliest!!<3

Answer:

i would go to khan academy and look up the topic your learning about.  I think sal (the creators of the videos) has a video on this!!

Answer:

3 in a half days

Step-by-step explanation:

Answer:

4 days

Step-by-step explanation:

The $25 fee would be paid straight forward so you could do $85-$25=$60

this means Sam has $60 left and $15 per day would give them 4 days

$15 x 4 = $60