Check the following pair of linear equations is consistent or inconsistent

5x - 3y = 11, -10x + 6y = -22​

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]p - 17 = 13 \\ p = 13 + 17 \\ p = 30[/tex]

✍ The value of p is 30.

[tex]23 + m = 31 \\ m = 31 - 23 \\ m = 8[/tex]

⎆ The value of m is 8.

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# ꧁❣ RainbowSalt2²2² ࿐

Answer:

p=30, m=8

Step-by-step explanation:

1. if p - 17 = 13, then p = 13+17, which is equal to 30

2. if 23 + m = 31, then m = 31-23, which is equal to 8

Do the opposite of the sign, for instance in question 1 it's -17, so you would +17 to calculate p.

Answer:

r < 15.5

Step-by-step explanation:

r - 4.5 < 11

r (- 4.5 + 4.5) < 11 + 4.5

r < 15.5

Answer:

B and D

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Answer:

a mans car...

Step-by-step explanation:

a man's car breaks down while driving to work

because all the other ones are in their head

Answer:

Smallest number of rows that is needed to seat these people = 16

Step-by-step explanation:

Given - A theatre has seats arranged in rows of 24, three hundred eighty -two(382) people attend a show at the theatre.

To find - What is the smallest number of rows that is needed to seat these people?

Solution -

Given that,

Total number of seats in a Row = 24

Let us assume that, there are x rows

As.

There are 382 people in the Theatre

So,

Minimum seats required is

24 x = 382

⇒x = 382 ÷ 24

⇒x = 15.91

i.e.

Smallest number of rows that is needed to seat these people = 16

Answer:

The probability that a randomly placed point falls within the smaller, inner circle is 25/64

Step-by-step explanation:

The remaining part of question is attached

Solution

The area of smaller circle is

[tex]\pi r^2 = 25 \pi[/tex]

The area of large circle is

[tex]\pi r^2 = 64 \pi[/tex]

Area of the shaded region

Area of large circle - area of small circle

[tex]64\pi -25\pi = 39\pi[/tex]

Probability that the point falls in the region of smaller circle is

[tex]\frac{25\pi }{64\pi } \\\frac{25}{64}[/tex]

Answer:

[tex] {y}^{4} \times {y}^{8} = y8 + 4 = {y}^{12} [/tex]

Answer: the answer is D. this took sometime but if you find another question like this solve it like this|

Step-by-step explanation: if you're already given the perimeter then that is the area so how to find the lengths if you're given the width is to multiply or divide! if you're using multiplication then use the width to divide so let's say you're area (perimeter) is 32! that means if you're given 4cm as the lengths then you have to use table knowledge  to find the width now if we know the 4x table then that means there is 8 x 4=32 so that means that the width is 8 thats an example!

Answer: B

Step-by-step explanation:

If you change them all to decimals.

4.8% = .048

1/20 = .05

4.1 x [tex]10^{-1}[/tex] = .41

[tex]\sqrt{4}[/tex] = 2

So, that would be least to greatest.

Answer:

60

Step-by-step explanation:

hope it helps!

Answer:

The original price was of $560, while the sales price was of 560 - 224 = $336.

Step-by-step explanation:

Original price:

x

Sales price:

224 less than the sales price, that is:

x - 224.

On sale fo 40% of the original price:

So the sales price is 100 - 40 = 60% = 0.6 of the original price. That means that:

[tex]x - 224 = 0.6x[/tex]

[tex]0.4x = 224[/tex]

[tex]x = \frac{224}{0.4}[/tex]

[tex]x = 560[/tex]

The original price was of $560, while the sales price was of 560 - 224 = $336.

Answer:

x=  -9       y= -4

Step-by-step explanation:

Step 1:

  2x-3y=-6

+ -2x-2y=26

_____________

         -5y=20

Step 2:

Get y by itself by dividing -5 on both sides

20/-5=-4

Therefore, y= -4

Step 3:

Plug -4 into the y for the first equation to get the number for x

2x-3(-4)=-6

2x+12=-6

2x= -18

x= -9

Answer:

Step-by-step explanation:

let girls be x

3/4=12/x(do cross multiplication)

12*4=3x

48/3=x

16=x

therefore there are 16 girls

Answer:

16 girls

Step-by-step explanation:

Set up a proportion. Let x = the number of girls.

3 / 4 = 12 / x

Cross multiply:

3x = 48

x = 16

Answer:

the domain of y = x is all real numbers.

Answer:

Step-by-step explanation:

100+2x+40=180(sum of interior angle of a triangle)

140+2x=180

2x=180-140

2x=40

x=40/2

x=20

Answer:

x=20

Step-by-step explanation:

the sum of the angles of a triangle is 180

so it means,

100+40+(2×)=180

140+(2×)=180

2×=180-140

2×=40

divide both sides by 2

x=20

to prove this substitute 20 inside see if the result is 180

40+100+(2×)=180

×=20

40+100+(2 (20))=180

140+40=180

140+40=180

Good luck.

Answer:

20/100*x=$30

20x/100=$30

x/5=$30

x=$30*5

x=$150

Step-by-step explanation:

20 percent of 150 equals 30 so 150 times 20 percent would give you 30

Answer:

G(x) or at least in the question i hae seen but i do not see your table so just gonoff of what i say below becase it might be f(x)

Step-by-step explanation:

Exponetial funtions are when you have a power of, for example g(x)=1+6x^2

It increases at a rather fast pace because of the power of 2 in this equaion when if it did not have thepower of 2 it would increase at a slower pace

Answer:

$5.75

Step-by-step explanation:

20=9.75 + 4.5 + c

20-9.75-4.5=c

5.75=c

Answer:

$2284.6

Step-by-step explanation:

Given data

Principal= $200

Rate= 7%

Time= 1980-2016= 36 years

The expression for the exponential model is given as

A= P(b)^t

b=1+r-----------because will are dealing with increase

A= P(1+r)^t

A=200(1+0.07)^36

A= 200(1.07)^36

A= 200*11.423

A=$2284.6

The value of the card is $2284.6

From what I have learnt:

The number has an ending so it is rational

Irrational numbers don't end, e.g. π (3.1415926...)

Answer:

1/4

Step-by-step explanation:

Probability is: (ways to get a desired result) / (total possible outcomes)

Choosing a yellow ball would be a desired result.

So, using the numbers that the question gives us,

(3 ways to get a yellow ball) / (12 golf balls total) =

3 / 12 =

1 /4

The answer is 1/4 chance.

Answer:

3/12 0r 1/4 <--- Simplified

Step-by-step explanation:

so there are 3 yellow which are in 12 gold balls so

it would be 3/12 or simplified 1/4

Answer:

Step-by-step explanation:

The perimeter of a rectangular pool is more then 62 meters, and the width is at least 10 meters less then the length. Witch system of inequalities represents the possible length in meters, /, and the possible width in meters,

Answer:

just plot the coordinates down on graph and then u'll have them graphed

Step-by-step explanation:

I don't know I'm too lazy 2 put an explanation

Step-by-step explanation:

a) A & B are tangent points and that makes angle AFB = 90°

b) Since line DB is a diameter, that makes arcADB a semicircular arc.

c) We know that A & B are tangent points which makes the figure AFBC a square.

Answer:

13

Step-by-step explanation:

6(A)-5

Sub 3 into A

6(3)-5

Multiply 3 by 6

18 - 5

=13

Answer:

6(3)-5

18-5

=13

Step-by-step explanation:

Answer:

A. [tex]-\frac{15}{2} < x< 0[/tex]

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.