Write an algebraic expression for “5 times the sum of a number and 3”

Answer:

Commutative property

Step-by-step explanation:

First find the equation of y.

[tex]y=mx+n=\frac{\Delta y}{\Delta x}x+n[/tex]

Find the slope m.

[tex]m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1[/tex].

Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.

[tex]9=1(-3)+n\implies n=12[/tex].

The equation of a line y is:

[tex]y=x+12[/tex].

The perpendicular line [tex]y_{\perp}[/tex] is same like the normal line except its slope m becomes:

[tex]k=-\frac{1}{m}=-1[/tex].

The equation of a perpendicular bisector is thus:

[tex]y_{\perp}=-x+12[/tex].

Hope this helps.

Answer:

[tex]y = \frac{1}{2} x + 3[/tex]

Step-by-step explanation:

Using the given points, first find the slope:

m = (₂ - y₁) / (x₂ - x₁)

   = (5 - 9) / (-1 - (-3))

   = -4 / 2

    = -2

Find y-intercept by using anyone of the give points and slope from above:

y = mx + b

5 = -2(-1) + b

5 = 2 + b

b = 3

With the m and b, you can make equation of line:

y = mx + b

y = -2x + 3

To find the perpendicular slope, make it opposite and inverse it.

m = -2 becomes 1/2

Regular equation of line:

y = -2x + 3

Perpendicular equation of line:

[tex]y = \frac{1}{2} x + 3[/tex]

Answer:

A: 150 pages in 3 days

Step-by-step explanation:

Answer:

3/4 km in 1 hour

Step-by-step explanation:

You divide to find unit rate.

1/4 divided by 1/3 is

1/4 x 3/1 = 3/4

3/4 kilometers in 1 hour

Hope this helps :)

The required rate of 1/4 kilometer in 1/3 hour is 3 / 4 Kilometer per hour.

Given that,
To determine the unit rate of 1/4 kilometer in 1/3 hour.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The rate of change is defined as the change in value with the rest of the time is called rate of change.

Here,
The unit rate of 1/4 kilometer in 1/3 hour,
Rate = (1 / 4 kilometer) / (1 / 3 hour)
Rate = 1 /  4 / 1 / 3
Rate = 3 / 4 Kilometer per hour.

Thus, the required rate of 1/4 kilometer in 1/3 hour is 3 / 4 Kilometer per hour.

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Answer:

133

Step-by-step explanation:

56/4=14 and 70/5=14. 14 x 9 = 126

30 mins is half of an hour which means you need to divide 14 by 2 which gives you 7.

126 + 7 = 133

133 parts the machine can make in 9 hours, 30 minutes.

Two or more expressions with an Equal sign is called as Equation.

A machine can make 56 parts in 4 hours.

56=4x

A machine can also make 70 parts in 5 hours.

70=5x

Now we need to write an equation that relates the number of parts

the machine can make and the time in hours.

14=x

Now, we need to find parts the machine can make in 9 hours, 30 minutes.

14 x 9 = 126

As 30 minutes is half an hour, so divide 14 by 2 we get 7

126 + 7 = 133

Hence 133 parts the machine can make in 9 hours, 30 minutes.

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Answer:

Communitive Property of Multiplication

Explanation:

The communitive property means that you can switch the numbers in any order and you will get the same answer.

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Answer: 45 + 0.30(x-450) > 40 + 0.35(x-450)

Step-by-step explanation:

Given: Free minutes = 450

For plan A,

Fix charge = $40

Charge per minute after free minutes  = $0.35

For plan B,

Fix charge = $45

Charge per minute after free minutes  = $0.30

Let x be the additional minutes.

Charges according to plan A = 40 + 0.35(x-450)

Charges according to plan B = 45 + 0.30(x-450)

If plan B is better than plan A.

45 + 0.30(x-450) > 40 + 0.35(x-450)

Required inequality : 45 + 0.30(x-450) > 40 + 0.35(x-450)

Answer:

15/2

Step-by-step explanation:

You have 3/2 5so you do 3 x 5 which is 15 then you have the answer. You keep the bottom number the same always

Answer:

the answer is b 1.4

Step-by-step explanation:

the answer is b , 1.5

this is

the equation on the math

Answer:

14+34=d hope this helps

Answer;

I if you dont have a question the dont

put random stuff like this but n Stot trying to be rude or mean im just saying what is needed to be said???

Answer: For #3 the answer is 48 degrees, #4 is 70 degrees

Step-by-step explanation:

3. CGA and BGD are verticle angles which means they are congruent, and (2x-10)+(x+4)+(x+10) is 180. Which gives you X=44, then you substitute x into x+4 which gives you 48.

4. CEB and BED are supplementary which means they make up 180. BED and CEA are verticle angles which means they are congruent. We know CEB is 110 which means BED is 70 because 180-110=70. BED and CEA are verticle angles which means CEA is also 70 degrees

Answer:

i think #3 is 93 and #4 is 70

Step-by-step explanation:

a full circle is equal to 360

for #3, i used the equation (2x-10) + (x+4) + (x+10) = 360

combine all like terms and get 4x + 4 = 360

subtract 4 from both sides

4x + 4 = 360

4x = 356

divide 4 from both sides

x = 89. from here put 89 where x is . angle BGD and angle CGA are the same so 89 + 4 = 93

for #4, use the equation 45 + 3x - 19 = 110

combine like terms and get 26 + 3x = 110

subtract 26 from both sides and then divide by 3

3x = 84

x = 28

place 28 where x is and find the matching angle which is 70.

HOPE THIS HELPS!!

Answer:

2 : 9

Step-by-step explanation:

First find the total number

6+4+5+3 = 18

6th graders : total

4 : 18

Divide each side by 2

4/2:   18/2

2 : 9

Answer:

I don't no the answer so please ask from another guys

Step-by-step explanation:

Answer:

First, the function:

y = x

Is:

Positive if x > 0

Negative if x < 0

Now, on another hand, the function y = IxI is:

Positive if x < 0

Positive if x > 0.

Then the only part that changes is the negative side of the domain, and the thing that changes is the sign (the change of sign is equivalent to a reflection over the x-axis or the line y = 0".

Then the correct option is:

"All points for x < 0 are reflected over the x-axis"

I suppose that this is option C, the missing one.

Answer:

62789

Step-by-step explanation:

Answer:

Y=8

ST=31

RT=81

Step-by-step explanation:

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Answer:

10 rabbits

Step-by-step explanation:

Let us represent

Number of rabbits = x

Number of squirrels = y

Number of deer = z

Katniss caught three times as many squirrels as deer.

y = 3z

She also caught five less rabbits than squirrels.

y = x - 5

The total number of animals she caught is ten more than four times the number of deer caught.

x + y + z = 4 × z + 10

x + y + z = 4z + 10

How many rabbits did Katniss catch?

Number of rabbits = x

We make x subject of the formula

x + y + z = 4z + 10

x = 4z + 10 - y - z

y = 3z

x = 4z + 10 - 3z - z

x = 4z - z - 3z + 10

x = 4z - 4z + 10

x = 0 + 10

x = 10

Therefore, the number of rabbits Katniss caught is 10 rabbits

Answer:

3.6 quarts.

Step-by-step explanation:

just take 30% of 12 which is 3.6

(I just did the assignment and got 100, so dw.)

Answer:

x= 81

Step-by-step explanation:

see attached the solution

Answer:

-12,-17

Step-by-step explanation:

I just added five to each of the numbers

Answer:

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

Answer:

24 songs

Step-by-step explanation:

I hope this helps!