Which is true about the solution to the system of inequalities shown?
ys-x-1
y≤-x-3
All values that satisfy y ≤
All values that satisfy y ≤
x − 1 are solutions.
x-3 are solutions.
-5-4-3-2-1.
77

Answer: x=18

Step-by-step explanation:

First distribute:

(18/6)-(x/6)=0

Isolate the x variable:

(18/6)=(x/6)

18=x

Answer:

it says 15 points not 30

Step-by-step explanation:

Answer:

10.30

Step-by-step explanation:

Pythagorean Theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].  The short leg(a) is 5 units long and the long leg(b) is 9 units long.  CD is the hypotenuse, the longest side (c).

[tex]5^{2}[/tex] +[tex]9^{2}[/tex] =[tex]c^{2}[/tex]

25+81=[tex]c^{2}[/tex]

106=[tex]c^{2}[/tex]

[tex]\sqrt{106}[/tex] = [tex]\sqrt{c^{2} }[/tex]

10.29563014 = c

Rounded to the nearest hundredth, 10.30

To check this is correct, the hypotenuse is the longest side, and 10.30 is longer than 5 and 9.  

Answer: 2718

Step-by-step explanation:

Given: Mean score = 85

Standard deviation = 5

Let x be the score of a random student that follows normal distribution.

Then, the probability that a student scored between 90 and 95 will be

[tex]P(90< x < 95)\\\\=P(\dfrac{90-85}{5}<\dfrac{x-\mu}{\sigma}<\dfrac{95-85}{5})\\\\= P(1< z< 2)\ \ \ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=P(z<2)-P(z<1)\\\\=0.9772-0.8413\\\\=0.1359[/tex]

The number of students scored between 90 and 95 = 0.1359 x (Total students)

= 0.1359 (20000)

= 2718

Hence, The number of students scored between 90 and 95 = 2718

Answer:

(x+1)(x+2/)(x-2/)

Step-by-step explanation:

Answer:

Step-by-step explanation:

That would be 1/5 + 3/5 which equals (1+3)/5 = 4/5

Answer:

[tex]13 {z}^{8} [/tex]

Step-by-step explanation:

Answer:

y=-2x+7

Step-by-step explanation:

See image

Answer:

The answer is three quarters, one nickel's dime, and a penny!

Step-by-step explanation:

Answer:

Dime- 4

Penny- 1

Half Dollar- 1

Step-by-step explanation:

A dollar is 100 cents and you have 91

91- 50 (half dollar)= 41

41- 1 (one penny)= 40

40- 40 (4 dimes)= 0

Answer:

The answer will be -3

Step-by-step explanation:

Hope this Helped

Answer:

x= -3

Step-by-step explanation:

It is really Easy just Isolate the variable by dividing each factor that don't contain the variable

You need to multiply the cost per text message by the number of messages (x) add that to the fixed charge.

The total of those need to be less than or equal to the amount she wants to spend.

The equation would be written as:

0.30x + 12 <= 40

Answer:

The value of 9x - 5 is -41.

Step-by-step explanation:

-2x - 3 = 5

-2x = 5 + 3

-2x = 8

x = -4

9x - 5

= 9(-4) - 5

= -36 - 5

= -41

Answer:

833.3333333

Step-by-step explanation:

hope this helps

Step-by-step explanation:

[tex]\qquad\sf\dashrightarrow 20000/24 [/tex]

[tex]\qquad\sf\dashrightarrow 10000/12 [/tex]

[tex]\qquad\sf\dashrightarrow 5000/6 [/tex]

[tex]\qquad\sf\dashrightarrow 2500/3 [/tex]

[tex]\qquad\sf\dashrightarrow 833.3 [/tex]

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Explanation:

There are two ways to solve this

The first method will have us distribute the 2 through to each term, then we solve for y

6 = 2(y+2)

6 = 2y+4 .... distribute

2y+4 = 6

2y = 6-4 .... subtract 4 from both sides

2y = 2

y = 2/2 .... divide both sides by 2

y = 1 is the answer

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

Or we can solve through this set of steps

6 = 2(y+2)

6/2 = y+2 ...... divide both sides by 2

3 = y+2

y+2 = 3

y = 3-2 .... subtract 2 from both sides

y = 1

Either way, we get the same answer.

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

To check the answer, replace every copy of y with 1

Simplifying should lead to 6 on the right side

6 = 2(y+2)

6 = 2(1+2)

6 = 2(3)

6 = 6

Since we get the same thing on both sides, this means the last equation is true. This in turn means the first equation is true when y = 1. Therefore, the solution has been confirmed.

Answer:

1 mile

Step-by-step explanation:

1m =160934 cm

Answer:

3 1/2

Step-by-step explanation:

the equation is 7/8x4/1 and can be rewritten as 7x4/8x1 = 28/8 which simplifies to 3 4/8 or 3 1/2

Answer:

the equivalent expression is 8x + 4

Step-by-step explanation:

4(2x + 1) = 4x2 = 8 =

8x + 1 = 4x1 = 4 =

8x + 4

To check your work substitute 1

4(2(1) + 1) = 4(2 + 1) = 4(3) = 12

8(1) + 4 = 8+4 = 12

therefore they are both equivalent

hope this helped!

Answer:

Each gallon of gas was $2.30

Step-by-step explanation:

Answer:

343 square unit is the answer...

Step-by-step explanation:

as a^3 is formula for finding volume where a is 7

Answer:

Yes, according to the angles and sides of the hills

Answer:

Answers

1.  40o, obtuse

2.  90o, right

3.  scalene

4a.  equilateral

4b.  isosceles

4c.  scalene

5.  An acute triangle has 3 acute angles, not just 1.  The figure contains a right angle and is therefore a right triangle.

6.  obtuse

7.  58o, acute

8.  Yes, because the measures add up to 180o.

9.  C

10.  The triangle would be isosceles, because isosceles triangles have two sides the same length.

Step-by-step explanation:

Answer:

1. $17

2.$2

Step-by-step explanation:

Answer:

1)14+3=17

2)5-3=2

Answer:

180 minus 60 equals 120

Step-by-step explanation:

1/3 of 180 equals 60 so you would take 60 out of 180 to get 120 and 120 would be the amount that she spent the rest of the weeks

Answer:

9 4/3

Step-by-step explanation:

Jonathan working:

Add 7 2/3 to 2 2/3

Step 1: you must add the whole numbers together first ( 7 + 2 = 9 ).

Step 2: Then you just add the numerators together ( 2 + 2 = 4 ),

Step 3: you add the denominators together ( 3 + 3 = 6 ).

Step 4: Answer is 9 4/6

Correct workings:

Add 7 2/3 to 2 2/3

Step 1: you must add the whole numbers together first ( 7 + 2 = 9 ).

Step 2: Then you just add the numerators together ( 2 + 2 = 4 ),

Step 3: you pick one of the denominators because they are the same (3)

Step 4: Answer is 9 4/3

Answer:

9

Step-by-step explanation:

Let the fourth proportional be x Then

2 : 3 :: 6 : x

2/3 = 6 / x

2x = 3 * 6

x = 18 / 2

x = 9

Hope it will help :)

Answer:

P = 2(l+w) ----------(1)

P = 4l----------- (2)

P= 32x- 12

4l = 32x- 12

l = 8x- 3

One side will be equal to 21 units and the perimeter will be 84 units when x=3.

Step-by-step explanation:

The perimeter is given by the formula

P = 2(l+w) ----------(1)

where p= perimeter , l= length and w= width.

But a square has the length equal to the width so w= l and the formula becomes

P = 2( l+l)

P = 2 (2l)

P = 4l----------- (2)

The perimeter of the square is

P= 32x- 12

or

4l = 32x- 12

dividing the whole equation by 4 we get

l = 8x- 3

So the length of one side can be obtained by dividing the perimeter by 4.

If x= 3

then

l= 8(3)-3

l= 24- 3

l = 21

One side will be equal to 21 units and the perimeter will be 84 units.

P = 4l = 4(21)= 84

Answer:

0.124$

...............

you can simply divide the price of the pencils = 1•49$

by the number of pencils bought = 12

1•49/12

= 0•124$

Answer: 0.124166667 U.S. dollars

((1 U.S. dollar) + (49 U.S. cents)) / 12 =

0.124166667 U.S. dollars