Evaluate 2x − 4 for x = 9. Evaluate −b + 8 for b = 3. Find the value of the expression 12x+3 if x = 12. For the equation y = 3x + 4, find the value of y if x = 2. The expression $25 + $10h gives the amount of money that Stephanie earns per day, where h is the number of hours she works. How much does she earn if she works 4 hours? Simplify each of the following expressions: 3(x + 2) + 4(x − 2) 2(x + y) − 3(x + y) −(y + 8) + 4(6 − y) 2(4x + 3) − 3(x + 1)

Answer:

She need 10.5 inches border

Step-by-step explanation:

Length of box =[tex]\frac{1}{2} inches[/tex]

Breadth of box =[tex]4\frac{3}{4} inches[/tex]

Breadth of box =[tex]\frac{19}{4} inches[/tex]

Height of box = 7 inches

Now we are given that Soledad wants to run a border around the top of the box.

So, Length of top = Perimeter = [tex]2(l+b)=2(\frac{1}{2}+\frac{19}{4})=10.5[/tex]

Hence She need 10.5 inches border

Answer:

1. y+5=4x-40

2.y=4x-45

Step-by-step explanation:

To get the slope of a line you do y₂-y₁/x₂-x₁ so we plug in the values -9+5/9-10 and we get -4

Point-slope form states y-y₁=m(x-x₁) where m is the slope so plug in the values we get y+5=4(x-10) and you get y+5=4x-40 then turn this equation into y=mx+b and get y= 4x-45

Answer:

Radius = 8 mm

Slant Height = 14 mm

Step-by-step explanation:

Base of a cone is a circle.

Area of circle is given as [tex]A=\pi r^{2}[/tex]

Where [tex]r[/tex] is the radius.

Given that

[tex]A = 64 \pi\ mm^2\\\Rightarrow \pi r^{2} = 64\pi \\\Rightarrow r^{2} = 64\\\Rightarrow r = 8\ mm[/tex]

Hence, radius is 8 mm.

Formula for Lateral Surface Area of a cone:

[tex]LSA = \pi rl[/tex]

Where [tex]r[/tex] is the radius and

[tex]l[/tex] is the slant height of cone

Given that [tex]LSA = 112 \pi\ mm^2[/tex]

[tex]\Rightarrow 112\pi = \pi \times 8 \times l\\\Rightarrow 8 \times l = 112\\\Rightarrow l = 14\ mm[/tex]

Hence, slant height is 14 mm

Answer:

9

Step-by-step explanation:

6x + 2y = 30

9x - 4y = 3

if we double the first equation and add up to second one, we cancel 4y:

now we can find y:

finally, x+y

Answer:

I Believe The Answer To Be 21

Step-by-step explanation:

BO is 7 Making O to X 7, AC is 20 Making OC less than 27 more than 20.

Answer:

The answer 21

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-21p - 15 = 27

-21p = 42

p = -2

Answer:

-2

Step-by-step explanation:

-21p - 15 = 27

-21p = 42

p = -2

Answer:

D

Step-by-step explanation:

There is no equation which have no solution.

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

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.

1. 1/(x - 31) = 5

1 = 5 · (x - 31)

1 = 5 · x - 155

5 · x = 156

x = 31.2

2. 12 · x - 11 = 0

12 · x = 11

x = 11/12

3. 15 - 3 · x = - 8

3 · x = 23

x = 23/3

4. - x + 91 = 0

x = 91

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The statement presents typing mistakes and is incomplete. Correct form is shown below:

Which equation has no solution?

A. 1/(x- 31) = 5

B. 12 · x - 11 = 0

C. 15 - 3 · x = - 8

D. - x + 91 = 0

E. Neither of all

Answer:

y= 2x-4

Step-by-step explanation:

The y-intercept is at -4, it is a positive slope, plotting from the y-axis rise over run is equal to 2/1 which means that the slope is 2x. giving you y= 2x-4

The equation which satisfy to the graph is Y= 2x- 4

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

According to graph

There are multiples points given on which line was passing

But we will select only which is clear

1st point = (0, 2)

2nd point = (-4,0 )

Now we will put values on equations and check which will satisfy

For 1st equation

Y= 2x- 4

Checking with 1st point

Putting x= 2

Y= 0 which satisfy

Checking for 2nd point

Putting x=0

Y = -4 satisfy

Hence, equation which satisfy to graph is Y= 2x- 4

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Answer:

A

Step-by-step explanation:

Its A because based on where the major drops and or rises in the lines it matches up to the numbers for the students. You really just got to eye it and try and level out where the two lines have the same number to see if it matches. Hopefully this was somewhat helpful lol. I'm not the best at giving explanations

Answer:

[tex]-27 a^3 b^6 + 8 a^9 b^{12} [/tex]

Step-by-step explanation:

In the picture attached, the problem is shown.

A polynomial in the form x³ + y³ is called a sum of cubes

If we take the expression:

[tex]-27 a^3 b^6 + 8 a^9 b^{12} [/tex]

and take cubic root to each term, we get:

[tex] x = \sqrt[3]{-27 a^3 b^6} [/tex]

[tex] x =\sqrt[3]{-27} \sqrt[3]{a^3} \sqrt[3]{b^6}[/tex]

[tex] x = -3 a b^2[/tex]

[tex]y = \sqrt[3]{8 a^9 b^{12}} [/tex]

[tex] y =\sqrt[3]{8} \sqrt[3]{a^9} \sqrt[3]{b^{12}}[/tex]

[tex] y =2 a^3 b^4[/tex]

The other options are not sum of cubes because 9, -9, b^10 and b^8 are not a perfect cubes.

Answer:

foodgnfnfnfd2vefvf3vedvwf wsvwsv

Answer:

negative

Step-by-step explanation:

Since the parabola does not cross the y axis, there are no real roots,

When there are no real roots, the discriminant is less than zero  ( or negative)

Answer:

THE ANSWER IS NEGATIVE

Step-by-step explanation:

A

P

E

X

Answer:

6 hours

Step-by-step explanation:

Let's say that the number of hours that Yumi picked litter for is y.

You know that since Yumi picked litter for 2 hours more than Juan, y=x+2.

y=3m

x=2m

Subtract the second equation from the first:

y-x=m

Substitute:

x+2-x=m

2=m

This means that it takes 2 hours per mile of litter. Multiplying this by the 3 miles that Yumi walked makes a total of 6 hours. Hope this helps!

Answer:

D. 6 hours

Step-by-step explanation:

Answer:

Bag 1: 20

Bag 2: 40

Step-by-step explanation:

Let x be the amount taken out of bag 2

Then the amount left in each bag can be written as:

Bag 1: 50-3x

Bag 2: 50-x

Since we know that half of bag 2 is bag 1, that gives us:

50-3x = 1/2(50-x)

-> 50-3x = 25-x/2

Now lets isolate x and solve:

25 = 5x/2

-> 50 = 5x

-> x = 10

So plug x bag in for the original equations:

Bag 1: 50-3x = 50-3(10) = 20

Bag 2: 50-x = 50-10 = 40

Answer:

it should be either option 1 or option 3

Step-by-step explanation:

Answer:

1 or the first option going down

Step-by-step explanation:

Answer:

1st one

Step-by-step explanation:

your start point is negative three (not positive three) then usually a tip is when ur variable is first in the equation the sign will tell you which way the arrow will go

Answer:

Number of half units =10; V= 1 1/4

Step-by-step explanation:

1*5/4*1/2=5/4 = 1 1/4

Answer:

30 miles

Step-by-step explanation:

We can use a ratio to solve

6 miles          x miles

------------     = -------------

20 minutes        100 minutes

Using cross products

6 * 100 = 20 x

Divide each side by 20

600/20 = 20x/20

30 =x

Answer:

30 miles

Step-by-step explanation:

First you want to divide 100mins by 20mins which will equal 5

Then multiply 5 by 6 which will equal 30

Answer:

x=11

Step-by-step explanation:

5x+9=6x-2 (corresponding angles)

x=11

Answer:

50 songs at $35

Step-by-step explanation:

Answer:

x = 50, y = 35

Step-by-step explanation:

Solve this system of linear equations by using substitution.  Equate the two equations to one another, thus eliminating y:

0.4x + 15 = 0.2x + 25

subtract 0.2x from both sides, obtaining:  0.2x + 15 = 25, or, after combining the constants, 0.2x = 10.

Finally we divide both sides by 0.2, which results in x = 50.

Use the first equation to find y:  y = 0.4(50) + 15 = 20 + 15 = 35

Answer:

(x-6)

Step-by-step explanation:

The factor form of that trinomial is: (x-3)(x-6), so the second option listed (x-6) is the one to select

Answer:

X-6=0

Step-by-step explanation:

Because the factors are 6 and 3

Answer:

c: a mathematical statement taken as fact diagram

Step-by-step explanation:

a mathematical statement taken as fact

diagram

This can mean what we mean when 'we say what the word means when compared to what it means when we are to use reason meaning the same word as reasoning it shows us the fatcs in an efficient way'

Postulate means reasoning in mathematics.

Postulate → Option 3

Theorem → Option 2

Definition → Option 4

Diagram → Option 1

Postulate : Postulate is a mathematical statement that is taken to be true without any proof, i.e. "A mathematical statement taken as fact".

Theorem : Theorem is a statement that can be proved using some logical arguments, facts and definitions, i.e. "A mathematical statement proven using postulates and definitions".

Definition : Definition is used to describe the meaning of something, i.e. "A formal statement declaring the meaning of a word".

Diagram : Diagram is a figure which consists of various structures as per our need, i.e. "A  visual tool representing mathematical ideas to be interpreted".

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[tex]See Solution Below;[/tex]  

[tex]A. 6m - 2 = m + 13,\\6m - m = 13 + 2,\\5m = 15,\\m = 3;\\ OneSolution[/tex]   [tex]F. 18x - 5 = 3 * ( 6x - 2 ),\\18x - 5 = 18x - 6,\\18x - 18x = - 6 + 5,\\0 = - 1 ; NoSolution[/tex]    

[tex]B. 4y + 9 = 4y - 7,\\4y - 4y = - 7 - 9,\\0 \neq - 16 ; NoSolution[/tex]

[tex]C. 3c + 2 = 3c + 2,\\3c - 3c = 2 - 2,\\0 = 0 ; Infinite Solution[/tex]

[tex]E. - 8j + 14 = - 2 * ( 4j - 7 ),\\- 8j + 14 = - 8j + 14,\\- 8j + 8j = 14 - 14,\\0 = 0 ; InfiniteSolution[/tex]

[tex]D. 3 * ( x - 4 ) = 2x + 6,\\3x - 12 = 2x + 6,\\3x - 2x = 6 + 12,\\x = 18 ; OneSolution[/tex]

Answer:

surface area of rectangle= 2[(l+w) +(l+h). +(w+h)]

hope it helps

Answer:

3 * 5x

3 * 5(2)

3 * 10

30

Answer:

The Axis of symmetry shows the highest point on the line and is a vertical line at the highest point on the graph x=1.5, y=36

Step-by-step explanation:

checked on a graphing calculator

Answer:

t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Step-by-step explanation:

Nonrigid transformations are transformations that change the side lengths or angles of a shape

The nonrigid transformations are dilation and stretch

All type of transformations are rigid transformation, except dilation.

The dilation transformation is divided into two types

Hence, the nonrigid transformations are dilation and stretch

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Answer:

A and D

Step-by-step explanation:

Answer:

4x+55

Step-by-step explanation:

Expand and simplify

10x+25x-6x+30

4x+55

Answer:

4x+55

Step-by-step explanation:

I used the PEDMAS to simplify the equation doing the parentheses first then addition and subtraction. The picture attached showed what order I did it in and I hope this really helped! Good LUCK on the rest of your homework.

Answer:

8.106

Step-by-step explanation:

Use Pythagorean Theorum for this question, a^2+b^2=c^2

If you put the numbers into the equation you get 6.3^2+5.1^2=c^2.

Simplify and get 65.7=c^2

To get rid of the square, you square root both sides, which will get you 8.106=c (since the answer wants round to 3 numbers behind the decimal point)

Therefore the missing length is 8.106cm. (For estimation just write a random number you think it would be before actually solving the problem.

Answer for #2:

Right Triangle

Not Right Triangle

Not Right Triangle

Right Triangle

Not Right Triangle

Step-by-step explanation:

Just use the pythagorean thereum for each of the questions to see if the values match up

Answer:

1.08 * 10 ^8

Step-by-step explanation:

2.4 * 10^4   * 4.5 * 10^3

Multiply the constants

10.8

Add the exponents

10^(4+3) = 10^7

Put together

10.8 * 10 ^7

Put we can only have one number in front of the decimal

Move the decimal one place to the left and add one to the exponent

1.08 * 10 ^8