In order to make an A on her project, Sarah needs a least 160 points. She has already turned in part of her work and has been given 125 points so far. Write and solve an inequality that models this situation and find out how many points Sarah need on the last part of her work.
A). at least 35 points
B). at least 45 points
C). less than 35 points
D). less than 45 points

Answer:

See bolded below

Step-by-step explanation:

1. First solve the inequality:

2|3-4x|+5>4 [subtract 5 from both sides]

2|3-4x| > - 1 [divide both sides by 2]

|3-4x| > - 1/2

Since all absolute values are always greater than or equal to 0, the solution would be: All Solutions. Respectively in interval notation we have (- ∞, ∞)

2. Start by solving the equation:

|2-3x|=|x-3|,

2-3x = x-3, 2-3x = -(x - 3)

x = 1.25, x = -0.5

In set builder notation: { x | x ∈ {1.25, -0.5} }

Answer:

[tex]\frac{x-5}{x-7}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2-2x-15}{x^2-4x-21}[/tex] ← factor numerator and denominator

= [tex]\frac{(x-5)(x+3)}{(x-7)(x+3)}[/tex] ← cancel (x + 3) on numerator and denominator

= [tex]\frac{x-5}{x-7}[/tex]

Answer:

[tex]\frac{x-5}{x-7}[/tex] is the answer

Step-by-step explanation:

[tex]\frac{x^{2}-2x -15 }{ x^{2}-4x-21}[/tex]

Factorising,

[tex]\frac{x^{2}-5x+3x-15}{x^{2}-7x+3x-21 }[/tex]

[tex]\frac{x(x-5)+3(x-5)}{x(x-7)+3(x-7)}[/tex]

[tex]\frac{(x+3)(x-5)}{(x+3)(x-7)}[/tex]

[tex]\frac{x-5}{x-7}[/tex]

Answer:

C

Step-by-step explanation:

Answer:

ya!!! so true  love the words!!!!

9514 1404 393

Answer:

  B.  39°, 106°, 43°

Step-by-step explanation:

The sum of angle measures in a triangle is 180°. Then the sum of angle expressions will be 180.

  (3x +1) +(11x -4) +(5x -7) = 180

  19x -10 = 180 . . . . . collect terms

  19x = 190 . . . . . . . . add 10

  x = 10 . . . . . . . . . . . divide by 19

__

Then the three angle measures are ...

The appropriate choice is ...

  B.  31°, 106°, 43°

Answer:

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

If Brooke multiplied 3 by 9 and obtained 17 ; then Brooke is definitely wrong

3 * 9 = exactly 27

However, for approximation sake ;

We could round 9 to 10 ; and multiply 10 by 3

10 * 3 = 30 ; this gives an approximate solution for the multiplication problem ;

3 * 9 = exactly 27 or approximately 30

Answer:

<

Step-by-step explanation:

Answer:

500000

Step-by-step explanation:

We need to find the value of the given expression :

[tex]5^{\dfrac{5}{2}}\times 20^{\dfrac{3}{2}}\div 10^{-2}[/tex]

We can do it as per BODMAS rule.

[tex]5^{\dfrac{5}{2}}\times (\dfrac{20^{\dfrac{3}{2}}}{10^{-2}})\\\\=5^{\dfrac{5}{2}}\times {20^{\dfrac{3}{2}}}\times {10^{2}}\\\\=5^{\dfrac{5}{2}}\times {20^{\dfrac{3}{2}}}\times 100\\\\=5^{\dfrac{5}{2}}\times {(5\times 4)^{\dfrac{3}{2}}}\times 100\\\\=5^{\dfrac{5}{2}}\times {(5^{\dfrac{3}{2}})\times (4)^{\dfrac{3}{2}}}\times 100\\\\=5^{(\dfrac{5}{2}+\dfrac{3}{2})}\times 2^2^{\dfrac{3}{2}}\times 100\\\\=5^4\times 2^3\times 100\\\\=625\times 8\times 100\\\\=500000[/tex]

So, the required answer is 500000.

Answer: A ratio is one thing or value compared with or related to another thing or value; it is just a statement or an expression, and can only perhaps be simplified or reduced. On the other hand, a proportion is two ratios which have been set equal to each other; a proportion is an equation that can be solved.

Step-by-step explanation: looked it upp

Answer:

10)

180-3x =x (corresponding angles are equal)

x=45°

11)180-5x=3x ( same reason)

x=10°

12)180-6x=3x(same reason)

x=20°

Answer: See explanation

Step-by-step explanation:

10) Same side interior angles add up to 180°

3x + x = 180

4x = 180

x = 45

11) Same side interior angles add up to 180°

5x + 3x = 180

8x = 180

x = 22.5

12) 6x is vertical to an angle that has a relationship with 3x (same side interior angles) which means 6x and 3x have to add up to 180° as well

6x + 3x = 180

9x = 180

x = 20

Answer:

4.75*100=475

Step-by-step explanation:

Answer:  The answer is 475 cm long.

Step-by-step explanation:

Since his bedroom is 4.75 meters long, it would be 475 cm.

Answer:

B. f(x) = -x + 2

Step-by-step explanation:

First, you find the point on the y-axis which is (0,2) in this problem.

This will be your b in y = mx+ b

Then, you'll find how many blocks you are moving or rise over run. Which is -1/1 or -1.

This will be your m in y = mx + b

But we don't write the 1 so it will just be -x

Now add all your numbers in the standered form (y = mx + b) to get y = -x + 2 or f(x) = -x + 2

i think it is A. P(5<X<9)

Answer:

Letter D! That's the answer

Answer:

C. y = 4

Step-by-step explanation:

[tex] \sin \: 30 \degree = \frac{y}{8} \\ \\ \frac{1}{2} = \frac{y}{8} \\ \\ y = \frac{8}{2} \\ \\ y = 4[/tex]

Answer:

the experimental probability is based on the results of the experiment which yielded heads 1 out of 6 times; in theory, the results of flipping a coin and landing on heads would be 1 out of 2

Step-by-step explanation:

Answer:This is a linear equation.

y = mx+b

y is the total cost.

The slope m is the rate: that's 9 dollars per hour.

x is the number of hours.

b is the initial value: that's 16 dollars.

y = 9x+16

The problem states that the cost was 79 dollars.

Substitute that for y and solve for x.

79 = 9x+16

63 = 9x

x = 7 hour

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

80-17=63

63/7  = 9

7 times 9 = 63

Answer:

dang, if i had to guess, just add your numbers then divide.

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

3, 3.5, 4, 4.5, 5, 5.5, 6, 6.5, 7, 7.5, 8, 8.5, 9, 9.5, 10, 10.5

Answer:

11

Step-by-step explanation:

assumind we start from 3, the pattern goes that you add .5 each time

so, 3+0.5x

x=16

3+8=11

Answer:     D=Pie x C

Step-by-step explanation:

trust me and plz make me the brillienrttest

Answer:

volume

Step-by-step explanation:

volume = lxwxh

Answer:

77

Step-by-step explanation:

Answer:

It's in the doc below

Step-by-step explanation:

Hope it helps

Answer:

56x+32x+14x+8

Step-by-step explanation:

8x*7x=56x

8x*4=32x

2*7x=14x

2*4=8

Answer:

The interior angles of the parallelogram are either:

XXX

{

159

∘

,

21

∘

,

159

∘

,

21

∘

}

or

XXX

{

3

3

4

∘

,

176

1

4

∘

,

3

1

4

∘

,

176

1

4

∘

}

Explanation:

Case 1: The given relation applies to consecutive angles

Consecutive angles of a parallelogram add up to  

180

∘

Let  

a

and  

b

be consecutive angles (measured in degrees) such that the given relation holds:

XXX

a

=

9

b

−

30

and since  

a

+

b

=

180

→

b

=

180

−

a

XXX

a

=

9

(

180

−

a

)

−

30

=

1620

−

9

a

−

30

=

1590

−

9

a

XXX

10

a

=

1590

XXX

a

=

159

and

XXX

b

=

180

−

a

=

21

Case 2: The given relation applies to opposite angles

Opposite angles of a parallelogram are equal.

Let  

a

be the measure (in degrees) of the referenced opposite angles (and  

b

be the measure of the other two angles:  

a

+

b

=

180

)

We are told

XXX

a

=

9

a

−

30

Therefore

XXX

−

8

a

=

−

30

XXX

a

=

3

3

4

XXX

b

=

180

−

a

=

176

1

4

Answer link

EZ as pi

Sep 25, 2016

The angles are  

21

°

,

159

°

,

21

°

,

159

°

Explanation:

In a parallelogram, there are only two sizes of angle - two are acute and two are obtuse.

Opposite angles are equal .

Consecutive angles are supplementary because they are co-interior angle on parallel lines.

An additional solution to the one given by Alan P is using the fact that the sum of the interior angles of a parallelogram is 360°.

Let one angle be  

x

The size of the other angle is given by  

9

x

−

30

2

x

+

2

(

9

x

−

30

)

=

360

←

sum of the angles is 360°

2

x

+

18

x

−

60

=

360

20

x

=

420

x

=

21

°

The obtuse angles are each  

180

−

21

=

159

°

The other option where the given angle is the opposite angle is described is well explained by Alan P.

Step-by-step explanation:

The interior angles of the parallelogram are 21° and 159° respectively.

What is parallelogram?

A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal.

In a parallelogram opposite interior angles are equal and the angles on the same side of the traversal are supplementary (i.e) 180°

For the given situation,

The measure of one interior angle be [tex]x[/tex] and

Another angle was given as [tex]9x-30[/tex]°  

⇒[tex]x+9x-30[/tex]°[tex]=180[/tex]°

⇒[tex]10x=180[/tex]°[tex]+30[/tex]°

⇒[tex]10x=210[/tex]°

On dividing [tex]10[/tex] on both sides,

⇒[tex]\frac{10x}{10}=\frac{210}{10}[/tex]

⇒[tex]x=21[/tex]°

So, another angle is [tex]9x-30[/tex] = [tex]9[/tex]×[tex]21-30[/tex]

⇒[tex]189-30[/tex]

⇒[tex]159[/tex]°

Hence we can conclude that the interior angles of the parallelogram are 21° and 159°.

Learn more about the interior angle of parallelogram here

https://brainly.com/question/8615842

#SPJ2

Answer:

wheres the statements...?

Step-by-step explanation:

Answer:

Z= 82

Step-by-step explanation: