PLEASE HELP ASAP
FIND THE MEASUREMENT QP
20 POINTS

Answer: p < -3/5

Step-by-step explanation:

2p - 4 < -3p - 7

+3p       +3p

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

5p - 4 < -7

     +4   +4

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

5p < -3 (divide by 5)

p < -3/5

9514 1404 393

Answer:

 2 nickels, 9 dimes

Step-by-step explanation:

When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the unshaded area the solution space. Here, the vertices of the triangular solution space are ...

  (2, 9), (2, 13), (6, 9)

Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.

__

Three solutions are shown:

  (x, y) = (2, 9), (3, 10), (4, 11)

Answer:

7/ 36

Step-by-step explanation:

Roll of 2 fair six sided die :

Sample space = 6² = 36

Sum of 7:

(1,6) ; (6,1) ; (3,4) ; (4,3) ; (2,5) ; (5,2) = 6

Probability = required outcome / Total possible outcomes

Required outcome = 7

Total possible outcomes = 36

P(obtaining a sum of 7) = 7 / 36

Answer:

86.6667% decrease

Step-by-step explanation:

Answer:

6.4

Step-by-step explanation:

Answer:

good luck

Step-by-step explanation:

Answer:

67.6

Step-by-step explanation:

area = 158/360 * 49 * pi = 67.56

Answer:

y= -6x+62

Step-by-step explanation:

y-y1=m(x-x1)

y-8=-6(x-9)

y-8=-6x+54

+8        +8

y= -6x+62

Answer:

unsimplified : [tex]\frac{21}{225} or simplified: \: \frac{7}{75}[/tex]

Step-by-step explanation:

Work out : Look above at image.

Answer:

66

Step-by-step explanation:

6x + 8y + 6

x=2

y=6

Replace the letters with the numbers:

6(2) + 8(6) +6

= 12 +48 + 6

= 66

Answer:

its less than <

Step-by-step explanation:

........

Answer:

>

Step-by-step explanation:

[tex]12 \times 1 \frac{2}{5} = 12 \times \frac{7}{5} = \frac{60}{5} \times \frac{7}{5} = \frac{420}{25} = 16 \frac{20}{25} [/tex]

Answer:

Question 6: 3

Question 7: $1750

Question 8: 45 minutes

Question 9: $48

Step-by-step explanation:

Step-by-step explanation:

To find - How can you determine the number of solutions of a system

              of linear equations by inspecting its equations?

Proof -

There exists three types of solution for a system of linear equations.

1. No solution.

2. Unique solution.

3. Infinite many solutions.

Now,

Let the 2 linear equations are as follows :

y = ax + b

y = cx + d

1. For no solution -

a = c and b ≠d

For example-

y = -2x + 5

y = -2x  - 1

Subtract first equation from second , we get

y - y = -2x - 1 - ( -2x + 5)

⇒0 = -2x - 1 + 2x - 5

⇒0 = -6

Not possible

So, There exist no solution.

2. For unique solution -

a ≠ c and b , d can be any value

For example -

If b and d are same ,

y = 2x - 4

y = -3x - 4

Subtract equation 1st from 2nd , we get

y - y = -3x - 4 - ( 2x - 4)

⇒0 = -3x - 4 - 2x + 4

⇒0 = -5x

⇒x = 0

⇒y = 2(0) - 4 = -4

∴ we get

x = 0, y = -4

If b and d are different

y = 2x - 4

y = -3x + 5

Subtract equation 1st from second

y - y = -3x + 5 - 2x + 4

⇒0 = -5x + 9

⇒-5x = -9

⇒x = [tex]\frac{9}{5}[/tex]

⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]

∴ we get

x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]

3. Infinitely many solution -

a = c and b = d

For example -

y = -4x + 1

y = -4x + 1

Subtract equation first from equation second

y - y = -4x + 1 - ( -4x + 1)

⇒0 = -4x + 1 + 4x - 1

⇒0 = 0

Satisfied

So, Infinite many solution possible.

Answer:

= 40g -24

Step-by-step explanation:

you would multiply everything in the bracket by 8 to expand this

e.g.

(8x5g )+ (8x5 )+ (8 x -2)

= 40g + 40 - 16

now simplify by subtracting the like terms

= 40g -24

Answer:

Option 2

Step-by-step explanation:

Given function:

Option 1: ×

Table one: y=8-6

if y is 6 then 8-6 can’t be 6 it is 2.

Option 2: √

Table one:

y=8-2

y would be 6 then this would be correct..

Table two:

y=4x

if y=20 then x would be 5 and if y is 16 then x=4.

Option 3:×

y=4x

this is wrong since table 2 is y=4x..

Option 4:×

Table one

y=x-4

if y is 6 and x is 8 then this is wrong..

Therefore, option 2 is correct..

Answer:

2

Step-by-step explanation:

5x+6=7x-2

5x+4=7x

4=2x

4/2

2

Answer:

Step-by-step explanation:

A side of the triangle must be shorter than the sum of the remaining two sides.

He cannot make a triangle with 3, 4, and 8.

Answer:$5.50

Step-by-step explanation:

22.50 -11.50= 11

soda and popcorn (2 items)

11/2= 5.50

Answer:

A

Step-by-step explanation:

His speed change is the slope or -15, decreases by 15 miles/hour

when he starts, his speed is 0*-15+60 = 60 miles/hour

Answer:

a

Step-by-step explanation:

Answer:

Given equation:

Correct solution:

Errors

Answer:

2/7

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

because i multuply

Answer:

320 cubic centimeters

Step-by-step explanation:

Multiply.

--

20 x 4 x 4 = 320

--

Finding Volume

Length x Width x Height = Volume

--

Answer:

(5,3)

Step-by-step explanation:

you would move 3 to the right and 2 down

Answer:

y=10x-10

Hope this helped <3

Given:

In a right angle triangle ABC, [tex]\angle B=90^\circ,x=8.7\ m[/tex], and [tex]\theta = 45^\circ[/tex]

To find:

The value of AC.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos \theta =\dfrac{BC}{AC}[/tex]

[tex]\cos (45^\circ) =\dfrac{8.7}{AC}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{8.7}{AC}[/tex]

On cross multiplication, we get

[tex]AC=8.7\times \sqrt{2}[/tex]

[tex]AC=12.30365799[/tex]

[tex]AC\approx 12.304[/tex]

Therefore, the measure of AC is 12.304 m.

Answer:

$2440

Step-by-step explanation:

a10 = a1 + (n-1)d <--- arithmetic sequence formula

a10 = 1000 + 9(160)

a10 = 2440

Answer:

72 and 108

Step-by-step explanation:

540/30= 18 *4 = 72

and

810/30= 27*4=108