Solve the system of equations by using substitution.

Answer:

m < 15

Step-by-step explanation:

2m+10 < 40

Subtract 10 from each side

2m+10-10 < 40-10

2m < 30

Divide by 2

2m/2 = < 30/2

m < 15

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

For circle A, attribute used is right angle.

For circle B, attribute used is parallel lines.

A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle.

A square, rectangle and parallelogram are quadrilaterals. Opposite sides of square, rectangle and parallelogram are parallel to each other. Adjacent angles of square, rectangle and parallelogram are supplementary. Diagonals of square, rectangle and parallelogram bisect each other.

Circle A consists of triangles.

By observing clearly that in circle A there are two right angled triangles.

For circle A, attribute used is right angle.

Circle B consists of 1 square, 1 rectangle and 2 parallelogram.

We know that in a square, rectangle and parallelogram, there are two pair of parallel lines. Opposite sides of square, rectangle and parallelogram are parallel to each other.

For circle B, attribute used is parallel lines.

Find out more information about Similarities of square, rectangle and parallelogram and right triangle here

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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.

Answer:

60

Step-by-step explanation:

hope it helps!

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

Answer:

34

Step-by-step explanation:

Answer:

[tex]x = 21 \sin(38 \degree) \\ x = 12.93[/tex]

The more accurate value is roughly x = 16.5482258257411

=====================================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(38) = x/21

21*cos(38) = x

x = 21*cos(38)

x = 16.5482258257411 which is approximate

x = 17

I'm rounding to the nearest whole number since the other side (21) is a whole number. If your teacher instructs you to round otherwise, then follow those instructions of course. Make sure your calculator is in degree mode.

Answer:

$5.75

Step-by-step explanation:

20=9.75 + 4.5 + c

20-9.75-4.5=c

5.75=c

Answer:

x=6, x=0

Step-by-step explanation:

[tex](x - 3) ^{2}[/tex]+ [tex](y - 2) ^{2}[/tex]= 25

[tex](x - 3) ^{2}[/tex]+ [tex](6 - 2) ^{2}[/tex]= 25

x=6, x=0

Answer:

2

Step-by-step explanation:

you have to dived 3/4 by 3/8= 24/12=2

Answer:

Step-by-step explanation:

Unit rate is the number of circuit boards a minute:

Correct choice is B

Answer:

9.8

Step-by-step explanation:

=5.9 . tan 59° = 5.9 × 1.66 = 9.8

Answer:

To factor means to express as a product. To expand means to multiply something out.

Step-by-step explanation:

please answer my question for me pleaseeee

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:

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:

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 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 :

Evaluate

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 2 i √ 5 , − 2 i √ 5

Step-by-step explanation:

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:

a) 2.5^2+19\times2.5-16.75

Step-by-step explanation:

(2.5)² +(19× 2.5) - 16.75

= 6.25 + 47.5 - 16.75 = 37

Answer: 16

Step-by-step explanation:

I think so.

Answer:

26.25

Step-by-step explanation:

sin60=8/f

sin60(f)=8

(sin60(f))/sin60=(8)/sin60

f=26.25

Answer:

Exact volume: 804.24772

Approximate volume: 804.248

Step-by-step explanation:

V = 1/3hπr².