Simplify Question 8 options: A) 8 B) 9 C) 6 D) 12

Answer:

Step-by-step explanation:

( C ). 112°

The answer is 64.5 in2

Figure 1,

When 1 unit = 1 cm

Perimeter = Boundary of the figure

                = 3+3+6

                = 12 cm

Area of one square = side * side

                                    = 1*1

No. of squares in the figure = 6 squares

Area = Space occupied inside the figure

        = 6 cm^2

Hope it helped :)

Answer:36

Step-by-step explanation:

It says he typed 36 words in a paragraph in a minute which means he types 36 per minute

Answer:

5

Step-by-step explanation:

substitute for the the given variables.

a=2

b=-4

sqrt 2^3-7=sqrt 8-7=sqrt1=1

1+absolute value of -4 = 1+4=5

answer 5

Answer:

31

Step-by-step explanation:

You divide, 372 divided by 12

the actual number of vans needed is 31 vans to accommodate the entire camp. To estimate the number of vans needed to accommodate the entire camp, we can use the concept of rounding up to the nearest whole number.

The number of vans required will be the total number of campers divided by the capacity of each van (12 passengers), rounded up to the nearest whole number.

Estimate:

Number of vans needed =[tex]\(\frac{372}{12}\)[/tex](rounded up to the nearest whole number)

[tex]\(\frac{372}{12} \approx 31\)[/tex]

So, the estimate suggests that around 31 vans will be needed to accommodate the entire camp.

To calculate the actual number of vans needed, we can use the exact division without rounding up.

Actual number:

Number of vans needed = [tex]\(\frac{372}{12} = 31\)[/tex] vans

Thus, the actual number of vans needed is 31 vans to accommodate the entire camp.

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The simplified expression for the perimeter of the rectangle is 16x - 4. The perimeter of a rectangle is given by the formula: P = 2 * (length + width).In this case, the length of the rectangle is given as 7x + 1, and the width is given as x - 3.

So, the perimeter can be expressed as: P = 2 * (7x + 1 + x - 3)

Now, let's simplify this expression: P = 2 * (8x - 2)

P = 16x - 4

Therefore, the simplified expression for the perimeter of the rectangle is 16x - 4.

A rectangle is a type of quadrilateral with specific properties that distinguish it from other shapes. Here are some key properties of a rectangle:

Opposite Sides are Equal in Length: In a rectangle, the opposite sides are always equal in length. This means that the length of one pair of parallel sides is the same as the length of the other pair.

Opposite Angles are Equal: The opposite angles in a rectangle are equal in measure. This property makes all angles in a rectangle right angles (90 degrees).

Consecutive Angles are Supplementary: Consecutive angles in a rectangle are supplementary, meaning that the sum of any two consecutive angles is 180 degrees. This property is a consequence of the fact that opposite angles are equal, making each pair of consecutive angles form a linear pair.

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Answer: D

Step-by-step explanation:

m = - 7/4

Point (4, -2)

y - - 2= -7/4(x-4)

y + 2 = - 7/4x + 7

y = - 7/4x +7-2

y = - 7/4 x + 5

The equation of the line that is parallel to the given line is option (D) [tex]y=-\frac{7}{4}x+5[/tex] is the correct answer.

The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.

For the given situation,

The line is [tex]y=-\frac{7}{4} x-2[/tex] ------ (1)

The general equation of line in slope intercept form is

[tex]y = mx + c[/tex] ------ (2)

On comparing the equation 1 and 2, we get the slope as

⇒ [tex]m=-\frac{7}{4}[/tex] and

When two lines are parallel, then the slope of the parallel line is equal to the slope of the given line.

So, the slope of the parallel line is [tex]m = -\frac{7}{4}[/tex]

Thus the equation of the parallel line passing through the point (x1,y1) is (4,-2) as,

⇒ [tex]y-y1=m(x-x1)[/tex]

⇒ [tex]y-(-2)=-\frac{7}{4} (x-4)[/tex]

⇒ [tex]y+2=-\frac{7}{4} (x-4)[/tex]

⇒ [tex]y=-\frac{7}{4}x+\frac{7}{4} (4)-2[/tex]

⇒ [tex]y=-\frac{7}{4}x+7-2[/tex]

⇒ [tex]y=-\frac{7}{4}x+5[/tex]

Hence we can conclude that the equation of the line that is parallel to the given line is option (D) [tex]y=-\frac{7}{4}x+5[/tex] is the correct answer.

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Answer:

7w+2=3w+94

Subtract 3w from both sides.

7w+2−3w=94

Combine 7w and −3w to get 4w.

4w+2=94

Subtract 2 from both sides.

4w=94−2

Subtract 2 from 94 to get 92.

4w=92

Divide both sides by 4.

w=492

Divide 92 by 4 to get 23.

w=23

Answer:

23

Step-by-step explanation:

7w + 2 = 3w + 94                      Subtract 2 from both sides

7w = 3w + 94 - 2

7w = 3w + 92                             Subtract 3w from both sides

4w = 92                                      Divide by 4

w = 92/4

w = 23

Step-by-step explanation:

1) let the number=x

six times a number=6x

Condition:

6x+4=22

2) eleven times a number=11x

Condition:

11x-5=50

3) 9 times a number=9x

Condition:

9x-7=-16

Note:if you need to ask any question please let me know.

Answer:

hope this helps

Step-by-step explanation:

3*2 * 1 = 24 ways . It is called arrangement or permutations, while if you need to group some objects it is called combination and there we need to consider unique groups only.

Answer:

That’s simple 10

Step-by-step explanation

Let me know if I’m correct

hope this helps

Answer:

The problems listed are all the formulas for 2d figures:

Area of a Triangle: 1/2 B*H

Area of a Square: S^2

Area of a Rectangle: l*w

Perimeter of a Square: 4s

Perimeter of a Triangle: a+b+c

Perimeter of a Rectangle: 2l+2w

Answer:

angle f = 147 degree and angle e = 33degree

Step-by-step explanation:

here,

angle d= 147 degree

angle f = ?

angle e= ?

we know that,

angle d= angle f (Being alternate angle always be equal.)

or, 147 degree = angle f

Hence, angle f is 147 degree.

And,

angle d sum angle e= 180 degree(being cointerior angle)

or, 147 degree add angle e=180 degree

or, angle e= (180-147) degree

or, angle e= 33 degree

Hence, angle e is 33 degree.

so, angle f=147 degree

angle e= 33 degree

ANS

angle e= 33 degree

Answer:

angle f=147 degrees (alternate angles)

angle e=    33 degrees

Step-by-step explanation:

angle d =147 degrees

angle f=147 degrees (alternate angles)

angle e +angle d=180 (allied angles)

        e+ 147         =180

                   e      =180-147

                    e     =    33 degrees

Step-by-step explanation:

(X)^2 - (6)^2

= (x-6)(X+6)

Answer:

[tex](x - 6) \times (x + 6)[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 36[/tex]

write in exponential form.

[tex] {x}^{2} - {6}^{2} [/tex]

factor:

[tex](x - 6) \times (x + 6)[/tex]

Answer:

Multply both side by 3

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

The final cost of Amelia's clothes will be $79.98 without sales tax and $85.78 with sales tax.

Step-by-step explanation:

To find the final cost of Amelia's clothes without sales tax, start by writing an equation for the problem, and the equation will look like                                   $[tex]32.00+2([/tex]$[tex]23.99)=x[/tex]. Next, simplify the equation, which will look like             $[tex]32.00+[/tex]$[tex]47.98=x[/tex]. Then, solve the equation, which will look like $[tex]79.98=x[/tex]. The final cost of Amelia's clothes without sales tax will be $79.98.

To find the final cost of Amelia's clothes with sales tax, start by writing another equation for the problem, and this equation will look like                     $[tex]32.00+2([/tex]$[tex]23.99)+[/tex]$[tex]5.80=x[/tex]. Next, simplify the equation, which will look like  $[tex]32.00+[/tex]$[tex]47.98+[/tex]$[tex]5.80=x[/tex]. Then, solve the equation, which will look like           $[tex]85.78=x[/tex]. The final cost of Amelia's clothes with sales tax will be $85.78.

Answer:

A. {x| x ≥ 10}

Step-by-step explanation:

in x-axis, the graph starts from 10 toward right.

it means x ≥ 10

Answer:

76.25

Step-by-step explanation:

Answer:

292 yd²

Step-by-step explanation:

First you split the composite shape into two rectangle.

a) Horizontal rectangle - L × W

7 × 26 = 182 yd²

b) Vertical rectangle - L × W

5 × 22 = 110 yd²

Therefore 182 + 110 = 292 yd²

Answer:

[tex] \frac{ - 1}{3} - ( - \frac{1}{2} ) \\ \frac{ - 1}{3} + \frac{1}{2} ( - \times - = + ) \\ = \frac{ - 2 + 3}{6} \\ = \frac{1}{6} \\ thank \: you[/tex]

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] - \frac{1}{3} - ( - \frac{1}{2} )[/tex]

[tex] - \frac{1}{3} + \frac{1}{2} [/tex]

[tex] \frac{ - 2 + 3}{ 6} [/tex]

[tex] = \frac{1}{6} [/tex]

zip file, and phrase, angle of applicable. where are u doing now I need to make a sentence, but it was not the same time for changing the full range. uses the nation, angle and phrase, angle. uses a

Answer:

We have 12 mL of 11% alcohol.

How much water do we add to make it a 6% solution?

We have 1.32 mL alcohol and 10.68 mL water

x is the water to add

(1.32) / (12 + x) = .06

1.32 = .72 + .06x

.6 = .06x

x = 10 mL

Step-by-step explanation:

Answer:

Angle BAD corresponds to Angle FEH in the scaled copy.

Angle ABC corresponds to Angle EFG in the scaled copy.

Angle BCD corresponds to Angle FGH in the scaled copy.

Angle ADC corresponds to Angle EHG in the scaled copy.

Answer:

12 is the answer

Step-by-step explanation:

18- 3×2= 18- 6 = 12

Answer:

Recall that the height of the object, in meters, is a function of elapsed time, in seconds. Thus what [tex]f(8)=12[/tex] means is that the object is at a height of 8 meters when 12 seconds have passed since its launch.

Best interpretation of the given f(8) = 12 is 8 seconds after the object is launched it is at a height of 12meters.

" Interpretation is defined as the explanation of something in your own words or as per your understanding."

According to the question,

Given,

H = f(t)

H represents the height in meters of an object

t represents the time in seconds

Interpretation of the given situation,

f(8) = 12

time = 8seconds

height of the object = 12meters

Hence, interpretation of the given situation is  8 seconds after the object is launched it is at a height of 12meters.

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Answer: g(x) = (x+1)-3

Step-by-step explanation: Assuming you are moving from expression f to expression g, the plus one in the equation moves the vertex to the right one. subtracting three outside of the parenthesis moves the vertex down three, giving you a vertex of (1,-3). hope this helps!

Answer:

16x^4

Step-by-step explanation:

Hi there!  

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I believe your answer is:  

[see below]

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Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Expression:}}\\\\(2x)^4\\----------------\\\rightarrow (2x)^4 \text{ is 2x multiplied 4 times.}\\\\\rightarrow (2x)^4 = \boxed{2x * 2x * 2x * 2x}\\\\\rightarrow 2x * 2x * 2x * 2x = \boxed{16*x^4}\\\\\rightarrow 16*x^4 = \boxed{16 * x * x * x * x}\\\\\text{The boxed answers with exception to the second one could be possible answers.}[/tex]

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

8

Step-by-step explanation:

0-(-8) = 8 ///////////

Answer:

8

Step-by-step explanation:

Let the number be x.

Then,

- 8 + x = 0

=> x = 0 + 8

=> x = 8