John weighs 65 kilograms, Sam weighs 22x kilograms, and Mark weighs 13x kilograms. Write an expression in the simplest form for their combined weight.

Answer:

Step-by-step explanation:

3a-2b=14 multiply by 3

9a - 6b = 42 (1)

4a+3b=13 multiply by 2

8a +6b = 26 (2)

sum up (1) and (2)

17a = 68

a =4

b=-1

Answer:

a = 4 b = -1

Step-by-step explanation:

13 = 4a - 3b  (1)

14 = 3a + 2b  (2)

(1) x 2

(2) x 3

26 = 8a - 6b   (3)

42 = 9a + 6b   (4)

(3) + (4)

68 = 17a

68/17 = 17a/17

a = 4

Substitute back in to original equation

14 = 3(4) - 2b

14 = 12 - 2b

14 - 12 = 12 -12 - 2b

2 = -2b

Divide by -2 both sides

b = -1

Check

3(4) - 2(-1)

12 + 2 = 14

There are 2300 ways by which we can select 3 students out of 25 students.                        

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.

Here total number of Students = 25

         Number of selection = 3

Now,

Total number of ways by which we can select 3 out of 25  = ²⁵C₃

                                                                                               = 25!/3!.22!

                                                         = 25 X 24 X 23 X 22! / 3X2X1 X 22!

                                                         = 13800 / 6

                                                         = 2300

Thus, there are 2300 ways by which we can select 3 students out of 25 students.                

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Answer:

The equation that relates the amount of yellow paint, y, and the amount of blue paint,b, in liters [tex]5y-3b=0[/tex].

Step-by-step explanation:

Given that The Green Goober mixes 333 liters of yellow paint with 555 liters of blue paint to make 888 liters of special green paint for his costume.

So,

The amount of yellow paint: the amount of blue paint [tex]= 333: 555[/tex]

If the amount of yellow paint is y and the amount of blue paint is b, then, from the above relation

[tex]y: b = 333: 555\Rightarrow \frac y b = \frac {333}{555} \\\\\Rightarrow \frac y b = \frac {3}{5} \\\\\Rightarrow 5y=3b \\\\\Rightarrow 5y-3b=0.[/tex]

Hence, the equation that relates the amount of yellow paint, y, and the amount of blue paint,b, in liters [tex]5y-3b=0[/tex].

Answer:

5y-3b=0

Step-by-step explanation:

khan

Answer:

The remainder is -7; option D

Step-by-step explanation:

To find the remainder, simply substitute 2 into the polynomial

We have;

-3(2)^2 + 7(2) -9

= -12 + 14-9

= 14-21 = -7

Answer:

50

Step-by-step explanation:

Answer:

dylan

Step-by-step explanation:

Answer:

23%

Step-by-step explanation:

I believe you subtract all of the taxes from the Gross Income first.

This will give you with $429.02

$429.02/560= About 76.6 percent.

100 percent-76.6 percent = Around 23.3 percent.

Round that down to 23 percent.

Hope this helps!

Answer:

r<4

Step-by-step explanation:

we add 4 to both sides

I wish this is helpful.

Answer:

the answer is 15 hdkdiemidd

Answer:

(0,4)

Step-by-step explanation:

when you plug in 0 for x and 4 for y, you get

6(0) + 8(4)=32

when plugging in each set of ordered pairs, this set gives the lowest answer

Answer: Current will reduce by half

Step-by-step explanation:

The formula for Current is;

Current = Voltage/ Resistance

Say for instance that Voltage is 5 volts and Resistance is 2 ohms. Current will be;

= 5/2

= 2.5 amps

If Voltage is decreased by one half to 2.5 while resistance is held constant, current becomes;

= 2.5/2

= 1.25 amps

Current went from 2.5 to 1.25 amps.

This shows that current will reduce by half if the voltage is decreased by one half while the  resistance is held constant.

Answer:

Its 20

Step-by-step explanation:

Answer:

(-3,-6)

Step-by-step explanation:

We know that rectangles are four-sided shapes made up of four parallel lines. Opposite sides are congruent. We can do a quick graph, keeping those criteria in mind, and quickly figure out that the missing point is (-3,-6).

Hope this helped!

Answer:

1. x= -24

2. x= -16

3. x= 12

4. x= 12

5. x= -16

6. x= -24

Answer:

First one is x= -24

second one is x= -16

third one is x= 12

fourth one is x= 12

fifth one is x= -16

sixth one is x= -24

Step-by-step explanation:

hope this helps

An ode is a type of lyrical stanza. It is an elaborately structured poem praising or glorifying an event or individual, describing nature intellectually as nicely as emotionally. A basic ode is structured in three major parts: the strophe, the antistrophe, and the epode.

Answer:

An ode is a poetic form.

Step-by-step explanation:

A type of lyrical stanza. A classic ode is structured in three major parts: the strophe, the antistrophe, and the epode.

Answer:

prove that lines AK and AL divide BC into three equal parts. 1.30. Point O is the center of the circle inscribed in △ABC. On sides AC and BC points M and K, ...

Step-by-step explanation:

Answer:

66 HR

Step-by-step explanation:

We can set up an equivalent proportion and cross-multiply like this:

22/7=x/21

Cross multiply.

7x=462

Divide by 7 on both sides.

x=66

HTH :)

Answer:

6.681818182

Step-by-step explanation:

First we find the unit rate by dividing 7 by 22 to get 0.3181818 now we know how many he scores per the each game,  now we multiply that by 21 to get  6.681818182

Answer:

114 degrees

Step-by-step explanation:

The angles are supplementary so...

180 - 66

114

Answer:

1310.4

Step-by-step explanation:

26 x 12= 312 x 4.2= 1310.4

The volume of the unused role is 821.34π cm³

Volume is defined as the space occupied within the boundaries of any three-dimensional solid.

Given that is a figure of unused roll of paper towels, we need to find the volume of the unused role,

The volume of a cylinder with radius r and height h is V = π·radius²·height

To find the same we will subtract the volume of the inner cylinder from the outer,

Volume = 6²π(26) - (2.1)²π(26)

= 26(36π - 4.41π)

= 26(31.59π)

= 821.34π cm³

Hence, the volume of the unused role is 821.34π cm³

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Answer:

50+50

75+25

60+40

90+10

45+55

Step-by-step explanation:

Answer:

Translation (3 right, 5 up)

Step-by-step explanation:

Step-by-step explanation:

4x² - 12x + 17 = 0

i is an imaginary number and it equals √-1, and you usually put it when the number under the root is negative.

So √-5 = √5i and √-4 = 2i

Answer:

The C-O-P( Constant of proportionality ) Is 5

Step-by-step explanation:

To get to

9-45 Its *5

11-55 Its *5

13-65 Its *5

Y=5x

Answer:

the answer is x>7

Step-by-step explanation:

The solution of the inequality 2x + 6 > 20 is x<7.

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have the inequality 2x + 6 > 20.

Now, Subtract 6 from both side we get

2x+ 6 - 6< 20 - 6

2x < 14

Divide both side by 2 we get

2x/2 < 14/2

x< 7

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Answer: the slope is

m = -1/2

Step-by-step explanation:

-9x + 1= -x + 17

- 9x + x= 17 - 1

-8x = 16

- x = 16÷8

x = -2

Answer:

-9x + 1= -x + 17

- 9x + x= 17 - 1

-8x = 16

- x = 16÷8

x = -2

Answer:

2 and two fifths

Step-by-step explanation:

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Answer:

2 and 2/5

Step-by-step explanation:

Answer:

a huge part of this question is missing

sorry no one can help you