7. David needed to keep the weight of his
luggage below 50 pounds. After removing
12 lb. 8 oz. of items, his luggage weighed
47 lb. 10 oz. How much did his luggage
weigh before he removed items?

Answer:

IT'S NEGATIVE 3. HOPE THIS HELPS...

Answer:

(a+6)²

by identity (a+b)²=a²+2ab+b²

(a+6)²= a²+ 2×a×6 + 6²

= a²+ 12a + 36

(2a)²+5a = 4a²+5a

Answer:

y= [tex]\frac{2}{5}[/tex](x)+2

Step-by-step explanation:

First take two points from the line (x-int (-5,0) and y-int (0,2)). Once you get that you want to find the slope using the formula [tex]\frac{Y_{2} -Y_{1} }{X_{2}- x_{1} }[/tex]. Substitute the values and find the slope. Once you find the slope (m) to be [tex]\frac{2}{5}[/tex], take any of the two points and apply it to the slope intercept formula (y=mx+b) to find b. I took the point (0,2) and applied it to the formula. It should look like 2= [tex]\frac{2}{5}[/tex](0)+b. Solve for b by multiplying 2/5 by zero and your left with 2=b. Plugin the missing varibles for the equation and it should come out to be y= [tex]\frac{2}{5}[/tex](x)+2.

Answer:

x = -4

Step-by-step explanation:

2x + 34 = 6 - 5x

Subtract 34 from both sides.

2x = -28 - 5x

Add 5x to both sides.

7x = -28

Divide both sides by 7.

x = -4

Proof:

2x + 34 = 6 - 5x

Substitute variable.

2(-4) + 34 = 6 - 5(-4)

Multiply.

-8 + 34 = 6 + 20

Add.

26 = 26

Answer:

x = -4

Step-by-step explanation:

2x+34=6-5x

+5x +34 = 6+5x

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

7x +34 = 6

7x -34 = -34

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

7x = -28

---    ------

7       7

x = -4

A parabola is a mirror-symmetrical U-shape.

From the question, we have:

[tex]\mathbf{Vertex: (h,k) = (80,10)}[/tex]

[tex]\mathbf{Origin: (x,y) = (0,0)}[/tex]

The equation of a parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

Substitute the values of origin and vertex in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{0 = a(0 - 80)^2 + 10}[/tex]

[tex]\mathbf{0 = a(- 80)^2 + 10}[/tex]

[tex]\mathbf{0 = 6400a + 10}[/tex]

Collect like terms

[tex]\mathbf{6400a =- 10}[/tex]

Solve for a

[tex]\mathbf{a =- \frac{1}{640}}[/tex]

Substitute the values of a and the vertex in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]

The focus of a parabola is:

[tex]\mathbf{Focus = (h, \frac{k+1}{4a})}[/tex]

Substitute the values of a and the vertex in [tex]\mathbf{Focus = (h, \frac{k+1}{4a})}[/tex]

[tex]\mathbf{Focus = (80, \frac{10+1}{4 \times -\frac{1}{640}})}[/tex]

[tex]\mathbf{Focus = (80, -\frac{11}{\frac{1}{160}})}[/tex]

[tex]\mathbf{Focus = (80, -11\times 160)}[/tex]

[tex]\mathbf{Focus = (80, -1760)}[/tex]

The equation of the directrix is:

[tex]\mathbf{y = -a}[/tex]

So, we have:

[tex]\mathbf{y = \frac{1}{640}}[/tex] ----- the directrix

The axis of symmetry is:

[tex]\mathbf{x = -\frac{b}{2a}}[/tex]

We have:

[tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]

Expand

[tex]\mathbf{y = -\frac{1}{640}(x^2 -160x + 6400) +10}[/tex]

Expand

[tex]\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x - 10 +10}[/tex]

[tex]\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x }[/tex]

A quadratic function is represented as:

[tex]\mathbf{y = ax^2 + bx + c}[/tex]

So, we have:

[tex]\mathbf{a = -\frac{1}{640}}[/tex]

[tex]\mathbf{b = \frac{1}{4}}[/tex]

Recall that:

[tex]\mathbf{x = -\frac{b}{2a}}[/tex]

So, we have:

[tex]\mathbf{x = -\frac{1/4}{2 \times -1/640}}[/tex]

[tex]\mathbf{x = \frac{1/4}{1/320}}[/tex]

This gives

[tex]\mathbf{x = \frac{320}{4}}[/tex]

[tex]\mathbf{x = 80}[/tex]

Hence, the axis of the symmetry of parabola is: [tex]\mathbf{x = 80}[/tex]

Read more about parabola at:

https://brainly.com/question/21685473

Hello!

The sum of a number and 11:

Let's say that the number is x. So the expression "the sum of a number and x" looks like this:

x+11

Hope this helps you!

~Just an emotional teen who listens to her favourite songs

[tex]SilentNature[/tex]

Hey there!

Guide:

• The word “sum” means “add” or “addition”

• The word “difference” means “subtract” or “subtraction”

• The word “product” means “multiply” or “multiplication”

• The word “quotient” means “divide” or “division”

NOW THAT WE HAVE ALL OF THAT INFORMATION, WE CAN SOLVE FOR YOUR EQUATION

“The SUM of a number and 11”

Well since the “number” is unknown we can label it as “a” so we can know what we’re ADDing to 11…

So, your equation should be: a + 11

Answer: a + 11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

[tex]x > 8[/tex]

Step-by-step explanation:

1. Simplify the expression

Expand the parentheses:

[tex]-2*2x-2*-3<-26[/tex]

Simplify the arithmetic:

[tex]-4x+6<-26[/tex]

2. Group all constants on the right side of the inequality

Subtract 6 from both sides:

[tex]-4x+6-6<-26-6[/tex]

Simplify the arithmetic:

[tex]-4x<-26-6[/tex]

Simplify the arithmetic:

[tex]-4x<-32[/tex]

3. Isolate the x

Divide both sides by-4:

When dividing or multiplying by a negative number, always flip the inequality sign:

[tex]\frac{-4x}{-4} >\frac{-32}{-4}[/tex]

Cancel out the negatives:

[tex]\frac{4x}{4} >\frac{-32}{-4}[/tex]

Simplify the fraction:

[tex]x>\frac{-32}{-4}[/tex]

Cancel out the negatives:

[tex]x>\frac{32}{4}[/tex]

Find the greatest common factor of the numerator and denominator:

[tex]x>\frac{8*4}{1*4}[/tex]

Factor out and cancel the greatest common factor:

[tex]x>8[/tex]

4. Solution on a coordinate plane

Solution:

[tex]x>8[/tex]

Interval notation:

[tex](8, { \infty} )[/tex]    

Answer:

M = 26 degrees, N = 64 degrees

Step-by-step explanation:

When 2 angles are complementary, it means they add up to 90 degrees. We can set up a system of equations to represent the situation.

M is measure of angle M

N is measure of angle N

M + N = 90 degrees

M = N - 38 (measure of angle M is 38 degrees less than measure of angle N)

We can then use the second equation to substitute in M in the first equation with N - 38

N - 38 + N = 90

2N - 38 = 90

2N = 128

N = 64 degrees

We plug this value back into the first equation to find M

M + 64 = 90

M = 26 degrees

The measure of ∠M and ∠N are 26° and 64° respectively.

Supplementary angles sum to 180°.If two angles are supplementary their sum is 180° and sum of two complementary angles is 90°.

According to the given question angle M and angle N are complementary.

∴ Sum of these two angles ∠M + ∠N = 90°.

Assuming measure of ∠N to be x°,So the measure of ∠M is (x-38)°.

Therefore, x + (x-38) = 90°.

2x = 90° + 38°

2x = 128°.

x = 64°.

∴ The measure of ∠M is (64 - 38 )° = 26°.

learn more about angles here :

https://brainly.com/question/7116550

#SPJ2

Answer:

Progression in increments of value 12

Step-by-step explanation:

13 25 37 49 61 73 85 97 .....

Please allow me to know if this helped you by clicking thank you!

Miss Hawaii

Answer:

[tex]\boxed{\sf x=-15}[/tex]

Step-by-step explanation:

[tex]\sf 10=x+25[/tex]

[tex]\sf x+25=10[/tex]

[tex]\boxed{\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}}[/tex]

Answer:

x = -15

Step-by-step explanation:

Answer:

[tex] |v| = \frac{d}{t} \\ |v| = \frac{126km}{12hr} = 10.5km. {hr}^{ - 1} \\ d = |v| \times t\\ d = 10.5km. {hr}^{ - 1} \times 8hr \\ \boxed{d = 84km}[/tex]

Answer:

36 since they are similer triangles

Longer process:

24/24 = 36/x

solve this and you get 36

Answer:

6

Step-by-step explanation:

In equilateral triangle, all the sides are congruent.

3x - 6 = 12

Add 6 to both sides

3x = 12 + 6

3x = 18

Divide both sides by 3

x = 18/3

x = 6

Answer:

25 degrees

Step-by-step explanation:

trust :)

Answer:

The answer would be 25 degrees

Step-by-step explanation:

Fill in 25

Answer:

C) (x-3)(x+3)

Note:

Just a tip there is an app called Desmos where you can put in equations like this and it will graph them for you.

Answer:

Step-by-step explanation:

Answer:

27m^6 n^12

Step-by-step explanation:

Answer:

27m^6n^12

Step-by-step explanation:

3^3 = 27

m^2^3 = m^6

n^4^3 = n^12

Hence, it is

27m^6n^12 (the last option)

Hope this helps and be sure to have a wonderful time at Brainly! :D

Answer:

p = -1

Step-by-step explanation:

3(2p - 1) - 2*(3p+ 4) = 11p

Use distributive property: a(b +c) =a*b +a*c

3*2p -3*1 -2*3p + (-2)*4 = 11p

6p - 3  - 6p - 8 = 11p

6p - 6p - 3 - 8 = 11p

          - 11 = 11 p

Divide both sides by 11

     -11/11 = p

p = -1

Answer true

Step-by-step explanation:

true

Answer:

40 comic books

Step-by-step explanation:

36-16=20

20×2=40

Answer:

8912

Step-by-step explanation:

don't use awnser plz

Answer:

always first sum

Step-by-step explanation:

for example: 1+2/1-2=3

                     2+2/2-1=4

Answer:

1/4

Step-by-step explanation:

Answer:

yes, since 513 has more than two factors

have a spook-tastic day

Step-by-step explanation:

Answer:

Hey!

Step-by-step explanation:

nnnnnnnbbbbbbbbbbbvvvgbhjnn,,

Answer:

Variable- an unknown number

Each shirt is 25$

Step-by-step explanation:

P (Price)

S (Shirt)

F) p=40+3s

S) 115=40+3s, 115-40=3s, 75=3s

E) s=25