Item 6
Graph the solution of 4(7−x)<16.

Answer:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)

Step-by-step explanation:

Answer: 3,750 miles

Step-by-step explanation:

Route takes him 125 miles each way so in a day he travels:

= 125 + 125

= 250 miles

He made 15 roundtrips so total miles is:

= 15 * 250

= 3,750 miles

Answer:

z=−9

Step-by-step explanation:

Let's solve your equation step-by-step.

2/3z =−6

Step 1: Multiply both sides by 3/2.

(3/2)*(2/3z)=(3/2)*(−6)

z=−9

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Answer:

It's C or the third option.

Step-by-step explanation: Edge 2021

Answer:

C.

Explaination:

just did on edge 2021

Answer:

50.1 milliliters

Step-by-step explanation:

hope this helps!

Answer:

Student B

Step-by-step explanation:

Proportional relationship means that it follows a certain pattern or is constant.

Student B was the only relationship to be constant as it goes by multiples of 6.

Ex. 6, 12, 18, 24, 30.

Answer:

Student B

Step-by-step explanation:

Student B's wages increase by 6 each time, but Students A, C, and D do not steadily increase. The steady increase of 6 for Student B is what makes their wages proportional.

Answer:

(168,12)

Step-by-step explanation:

Substitute x = 10y+48 in the first equation.

[tex]10y + 48 + y = 180 \\ 11y = 180 - 48 \\ 11y = 132 \\ y = \frac{132}{11} \\ y = 12[/tex]

We have got the y-value. Our next goal is to find the x-value by substituting y-value in any given equations.

For me, I will be substituting y = 12 in the first equation.

[tex]x + 12 = 180 \\ x = 180 - 12 \\ x = 168[/tex]

Answer Check

Substitute both x-value and y-value in both equations.

[tex]168 + 12 = 180 \\ 180 = 180[/tex]

Our first equation is true for both values.

[tex]168 = 10(12) + 48 \\ 168 = 120 + 48 \\ 168 = 168[/tex]

Our second equation is true for both values.

Thus, the answer is (168, 12)

Answer:

Option D is correct answer.

Step-by-step explanation:

We are given the system of equations:

[tex]x+y=4\\x-y=-6[/tex]

Solving the system of equations to find values of x and y

Let:

[tex]x+y=4--eq(1)\\x-y=-6--eq(2)[/tex]

Adding both equations to find value of x

[tex]x+y=4\\x-y=-6\\------\\2x=-2\\x=\frac{-2}{2}\\x=-1[/tex]

So, we get value of x: x=-1

Now, putting value of x: x=-1 into equation 1 to find value of y

[tex]x+y=4\\Putx=-1\\-1+y=4\\y=4+1\\y=5[/tex]

So, we get value of y: y=5

The ordered pair will be: (-1,5)

So, Option D: The ordered pair(-1,5) is a a solution to the system of equations because it makes both equations true is correct choice.

Checking:

Put x=-1 and y=5 in equation 1

[tex]x+y=4\\-1+5=4\\4=4\:True[/tex]

Put x=-1 and y=5 in equation 2

[tex]x-y=-6-1-5=-6\\-6=-6\:\:\:True[/tex]

So, both equations are true.

Therefore, Option D is correct answer.

Answer:

14

Step-by-step explanation:

If he had 14 then he gave away 6, he'd have 8. 8 plus 4 is 12. He had 14 before giving any away.

Answer:

Step-by-step explanation:

Here you go mate

step 1

x^2+5x-14=0  equation/Question

step 2

x^2+5x-14=0  factor by setting them equal to zero

(x-2)(x+7)=0

answer

x=2 or x=-7

Answer:

20.65%

Step-by-step explanation:

[tex] \frac{19}{92} \\ \\ = \frac{19 \times 100}{92} \% \\ \\ = \frac{1900}{92} \% \\ \\ = 20.6521739 \%\\ \\ = 20.65\%[/tex]

Answer: X = 4

Step-by-step explanation: Move all the terms besides X to the right side, from there you will divide each term by 3 then simplify.

Answer:

122°

Step-by-step explanation:

10a + 2° + 5a - 2° = 180° [ being linear pair ]

15a = 180°

a = 180° / 15

a =12°

Now

<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°

Hope it will help :)

Answer:

The equation of the straight line is  x - 2y +6 =0

Step-by-step explanation:

Explanation:-

Given a point ( 2, 4) and slope m =  [tex]\frac{1}{2}[/tex]

The equation of the straight line passing through the point and having slope 'm'

          y - y₁ = m ( x - x₁)

           y - 4 = [tex]\frac{1}{2}[/tex] ( x - 2)

          2( y -4) = ( x-2)

          2 y - 8 = x -2

          x - 2 y - 2 + 8 =0

          x - 2y + 6 =0

The equation of the straight line is  x - 2y +6 =0

The answer is:

y = 1/2x + 5

Work/explanation:

Since I have a point and the slope, I will write the equation in point slope form.

Point slope is

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

where m = slope and (x₁, y₁) is a point on the line

Plug in the data

[tex]\sf{y-4=\dfrac{1}{2}(x-2)}[/tex]

Now let's simplify to slope intercept

                    [tex]\large\begin{gathered}\sf{y-4=\dfrac{1}{2}x+1}\\\sf{y=\dfrac{1}{2}x+1+4}\\\sf{y=\dfrac{1}{2}x+5}\end{gathered}[/tex]

m<1:51, m<2:39, m<3:90

Answer:

97

Step-by-step explanation:

you square 72 and 65 and add them together then take the square root of your answer aka 97 and thats the hypotenuse

Answer:

It costs $560 to enclose a 50' by 40' rectangular area.

Step-by-step explanation:

50 + 40 = 90

90 x 4 = 360 because of the $4 per foot

360 + 200 = 560, you add 200 because of the flat rate charge.

Answer:

650/100 X 3 = 19.5

19.50 X 4 = 78

$78

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

The answer is 470.16 cm²

Answer: 1/40

Step-by-step explanation:

Since we are told that Sinister Stan stole 3 3/4 oz of slime from Messy Molly and stole another 2 3/5 oz of slime from Rude Ralph. The total oz of slime stole would be:

= 3 3/4 + 2 3/5

= 3 15/20 + 2 12/20

= 5 27/20

= 6 7/20

We are told that his evil plans require 6 3/8 oz of slime, the amount needed for Sinister Stan for his evil plan would be:

= 6 3/8 - 6 7/20

= 6 30/80 - 6 28/80

= 2/80

= 1/40

Answer:

2.4

Step-by-step explanation:

Answer:

34 apples

Step-by-step explanation:

To answer: try setting up each of the equations for Annie and Eva.

Annie: 2(bag) + 5

Eva: 1(bag) + 11

Those two equations equal each other. So set that up:

2(bag) + 5 = 1(bag) + 11

Now solve for the size of the bag.

2(bag) - 1(bag) = 11 - 5

1(bag) = 6 apples

Now substitute 6 back into either equation to determine number of apples.

Annie: 2(6) + 5 = 12+5=17

They each have 17, so there are 34 apples in total.

Answer:

-56=8(x-8)

-56=8x-64 +64

8=8x :8

1=x

Step-by-step explanation:

prove me wrong

Answer:

x=1

Step-by-step explanation:

You would do distributive property and multiply 8 by the x and -8

-56=8x-64

The add 64 on both sides

8=8x

divide 8

x=1

Answer:

(-2,0)

Step-by-step explanation:

When finding the x intercept, substitute 0 for Y. -20/10=-2.

I hope this helps

Answer:

The x-intercepts of that is (-2,0).

Answer:

ok

Step-by-step explanation:

Answer:

if im not mistaken it should be y=0x+-3

Step-by-step explanation:

well i took the points -8.,0 an -3,0 an got the slope of 0 , so i did the formula y=mx+b m is slope wich is 0 so y=0x+? so i looked at where the line passes through the y axis an it went through at -3 therefore your answer is y=0x+-3

Answer:

39

Step-by-step explanation:

-133/-7=19+15=39

check:39-15=19

19x(-7)=-133

Answer:

Part 1: s+32=187

Part 2: 187-32=s

s=155

Step-by-step explanation:

Answer:

s+32=187 for the first response box. the second is - s=155

Step-by-step explanation:

Answer:

3(x+y)

=3x+3y

Here he have to multiply 3 with x and y.

Answer:

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