A man is 3 times old as his son the sum of their ages is 48 years old.how old is the son

Answer:

(6x5 -6) +56

(30-6) +56

24+56

80

Step-by-step explanation:

Answer:

A)63miles per hour.

B)27 miles per hour

Step-by-step explanation:

HERE IS THE COMPLETE QUESTION

boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)??b) How fast does the current in the river flow?

Let the speed of boat in still water = V(boat)

speed of current=V(current)

To calculate speed of boat downstream, we add speed of boat in still water and speed of current. This can be expressed as

[V(boat) +V(current)]

It was stated that it takes 1hour for the

boat to travels between two points of 90 mi apart downstream.

To calculate speed of boat against current, we will substact speed of current from speed of boat in still water. This can be expressed as

[V(boat) - V(current)]

and it was stated that it takes 2 1/2 for return trip against the Current

But we know but Speed= distance/time

Then if we input the stated values we have

V(boat) + V(current)]= 90/1 ---------eqn(1)

V(boat) - V(current) = 90/2.5----------eqn(2)

Adding the equations we have

V(boat) + V(current) + [V(boat) - V(current)]= 90/2.5 + 90/1

V(boat) + V(current) + V(boat) - V(current)]=90+36

2V(boat)= 126

V(boat)=63miles per hour.

Hence, Therefore, the speed of boat in still water is 63 miles per hour.

?b) How fast does the current in the river flow?

the speed of the current in the river, we can be calculated if we input V(boat)=63miles per hour. Into eqn(1)

V(boat) + V(current)]= 90/1

63+V(current)=90

V(current)= 27 miles per hour

Hence,Therefore, the speed of current is 27 miles per hour.

Answer:

4) x = - 12

5) x = 4

Step-by-step explanation:

4)

Since points T and S are mid points of sides ML and MN of triangle MLN.

Therefore, by mid point theorem,

TS is half of LN

so,

[tex]x + 26 = \frac{1}{2} (x + 40) \\ \\ 2(x + 26) =x + 40 \\ \\ 2x + 52 = x + 40 \\ \\ 2x - x = 40 - 52 \\ \\ x = - 12[/tex]

5) In the same way x = 4 will be the correct answer in question number 5.

Answer:

I think its 28.

Step-by-step explanation: Dont take my word for this tho

the ratio is 1:2 and that would mean that whatever length DA, HE is 2 times.

The length of BC is 14 so 14 x 2 is 28.

The length, in meters, of side FG on the photocopied image is 28 m and this can be determined by using the concept of dilation.

Given :

The following steps can be used in order to determine the length, in meters, of side FG on the photocopied image:

Step 1 - According to the given data, the side length of DA is 2 times the side length of HE.

Step 2 - From the above step, it can be concluded that 2 is the dilation factor.

Step 3 - From the given data, the length of BC is 14m. So, the length of the side FG is given by:

FG = 2 BC

Step 4 - Substitute the value of length of side BC in the above expression.

FG = 2(14)

FG = 28 m

Therefore, the correct option is C).

For more information, refer to the link given below:

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Answer:

43

Step-by-step explanation:

Simply follow PEMDAS.

24 - (-6 - (5 + 8))

24 - (-6 - 13)

24 - (-19)

24 + 19

= 43

Answer:

1. 2.50$

2. 120

Step-by-step explanation:

..................

Answer:

The range interval is: (7, -1)

Step-by-step explanation:

Given the function

g(x) = -2r+5

Let us put the domain values in the interval (-1, 3)

Putting x = -1

g(x)=-2r+5

      = -2(-1)+5

      = 2+5

      = 7

Putting x = 0

g(x)=-2r+5

      = -2(0)+5

      =0+5

      = 5

Putting x = 1

g(x)=-2r+5

      = -2(1)+5

      =-2+5

      = 3

Putting x = 2

g(x)=-2r+5

      = -2(2)+5

      =-4+5

      = 1

Putting x = 3

g(x)=-2r+5

      = -2(3)+5

      =-6+5

      = -1

Thus the range interval is: (7, -1)

Answer:

5/57 is the answer i think so dont get mad if wrong.

if right mark brainlyest

Step-by-step explanation:

Answer:

area is 20

Step-by-step explanation:

Answer:

20 units squared

Step-by-step explanation:

4(base) x 10(height) = 40

40 / 2 = 20

Answer:

$169.61

Step-by-step explanation:

X = 87.32 + 82.29

X = 169.61

Answer:

$169.61

Step-by-step explanation:

87.32+82.29=169.61

need brainlyest plz

Answer:10 adult and 20 children

Step-by-step explanation:

The two inequalities for the given situation are x+y>30 and 15x+9y≤360.

Given that, a hairstylist charges $15 for an adult haircut at nine dollars for a child haircut she wants to earn at least $360.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of adults be x and the number of child be y.

So, x+y>30

Now, 15x+9y≤360

⇒ 3(5x+3y)≤360

⇒ (5x+3y)≤120

From the graph we can see that, two graphs intersecting at (15, 15)

Therefore, the two inequalities for the given situation are x+y>30 and 15x+9y≤360.

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=============================================

Work Shown:

Refer to the diagram below. I've added a line segment and two variables y and z. This forms two isosceles triangles.

The central angle 56 degrees subtends the same arc as the inscribed angle y. By the inscribed angle theorem, this means y = 56/2 = 28. The inscribed angle is always half of the central angle (when both angles subtend the same arc).

Focus on the smaller isosceles triangle that has angles 56, z and z. Those three angles add to 180

z+z+56 = 180

2z+56 = 180

2z = 180-56

2z = 124

z = 124/2

z = 62

Now focus on the larger isosceles triangle (angles y = 28, x+z and x+z)

We'll use the same trick as before.

(x+z)+(x+z)+(y) = 180

(x+62)+(x+62)+(28) = 180 ... plug in z = 62 and y = 28

2x+152 = 180

2x = 180-152

2x = 28

x = 28/2

x = 14

Answer:

x = - 1, y = 1

Step-by-step explanation:

Given the 2 equations

2y + 7x = - 5 → (1)

5y - 7x = 12 → (2)

Adding the2 equations term by term will eliminate the term in x, that is

7y = 7 ( divide both sides by 7 )

y = 1

Substitute y = 1 into either of the 2 equationsand solve for x

Substituting into (1)

2(1) + 7x = - 5

2 + 7x = - 5 ( subtract 2 from both sides )

7x = - 7 ( divide both sides by 7 )

x = - 1

solution is x = - 1, y = 1

Answer:

13 degrees Celsius

Step-by-step explanation:

To solve this question, you need to subract -20 from - 7.-7-(-20)  is 13.

Answer:

A , one solution.........

Answer:

It is the first one

Step-by-step explanation:

Answer:

left

Step-by-step explanation:

Answer:

c. the graph moves left 18 units

Step-by-step explanation:

edge 2021

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Answer:

i think b=24

Step-by-step explanation:

Answer:

b = -864/11 = -78.545

Step-by-step explanation:

Answer:

−6a^5b+c

Step-by-step explanation:

The total number of tickets given away is 280

To do this, we make use of the following representations:

From the question, we have the following equations:

a = 20 + c --- 20 more adult than children

s = 3a ---- 3 times as many senior as adult

c = 40 --- number of children tickets

Substitute c = 40 in a = 20 + c

a = 20 + 40

a = 60

Substitute a = 60 in s = 3a

s = 3 * 60

s = 180

The total number of tickets is:

Total = a + c + s

This gives

Total = 60 + 40 + 180

Evaluate

Total = 280

Hence, the total number of tickets given away is 280

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Answer:

m= -1/3

good luck!

Answer:

12.5 or 12 1/2

Step-by-step explanation:

Answer:

x= 12.5 or 12 1/2

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

6+5=11

8/2=4

11x(4)2

The value of the expression 6 + 5 . (8 ÷ 2) 2 is 46.

BODMAS rule is a rule of calculating expressions which include more than one different mathematical operations.

BODMAS is an abbreviation for Brackets, Orders, Division, Multiplication, Addition and Subtraction.

So while calculating expressions including different operations, we should follow this order.

Here, the given expression is  6 + 5 . (8 ÷ 2) 2.

By BODMAS rule, we should calculate the expression in the bracket first.

8 ÷ 2 = 4

So, the expression becomes  6 + 5 × 4 × 2.

There are two operations, multiplication and addition here.

We should go for multiplication first.

5 × 4 × 2 = 40

The expression becomes 6 + 40 = 46.

Hence we got the value of the expression 6 + 5 . (8 ÷ 2) 2 as 46.

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Answer:

i think it would be SAS, sorry if I'm wrong!

Step-by-step explanation:

9514 1404 393

Answer:

  SAS

Step-by-step explanation:

The hash marks on the segments of the triangle indicate congruence. The "one hash mark" segments are congruent to each other, and the "two hash marks" segments are congruent to each other. That is, two corresponding sides are marked congruent.

Similarly, the arc on the angle indicates the angle is congruent to one with a similar mark. We notice that the marked angle is between the sides that have hash marks. So, we have, in order around the triangle, congruent Sides, Angles, Sides. The appropriate choice is ...

  SAS

Answer:

you didnt put a pic bro how can we answer

Answer:

1. {12,0}

hope it helps.

Answer:

3 and 4

Step-by-step explanation:

X - 9y = 12     If x=3 and y=-1

3 - (9*-1) = 12

3 +9 = 12

12 = 12

and

X - 9y = 12     If x=0 and y=-4/3

0 - (9 * -4/3) = 12

0 + 12 = 12

12 = 12