Use <, >, or = to compare the following decimals.

(a) 2.92 |?| 5.51
(b) 4.34 |?| 4.81
(c) 0.9 |?| 0.07

Perpendicular lines have slopes that are negative reciprocals of each other, so since the slope of the given line is 2, the slope of the line we want to find is -1/2.

Substituting into point-slope form,

[tex]y+2=-\frac{1}{2}(x-2)\\\\y+2=-\frac{1}{2}x+1\\\\\boxed{y=-\frac{1}{2}x-1}[/tex]

Answer: tan^-1(5/8) = 32 degrees from horizontal line

Step-by-step explanation: tan (Alfa) = 2000 / 3200 because

Angle from horizontal line. 2000/3200 = 20/32 = 5/8

Answer:

(x+1)(x+3)

Step-by-step explanation:

Let's factor x^2+4x+3

x^2+4x+3

The middle number is 4 and the last number is 3.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 4

Multiply together to get 3

Can you think of the two numbers?

Try 1 and 3:

1+3 = 4

1*3 = 3

Fill in the blanks in

(x+_)(x+_)

with 1 and 3 to get...

(x+1)(x+3)

Answer:

p(4)=7

p(-9)=-9

this solution is correct

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

[tex]C = Children; S = Students; A = Adults[/tex]

For the capacity, we have:

[tex]C + S + A = 329[/tex]

For the tickets sold, we have:

[tex]5C + 7S + 12A = 2388[/tex]

Half as many as adults are children implies that:

[tex]A = \frac{C}{2}[/tex]

Required

Solve for A, C and S

The equations to solve are:

[tex]C + S + A = 329[/tex] -- (1)

[tex]5C + 7S + 12A = 2388[/tex] -- (2)

[tex]A = \frac{C}{2}[/tex] -- (3)

Make C the subject in (3)

[tex]C = 2A[/tex]

Substitute [tex]C = 2A[/tex] in (1) and (2)

[tex]C + S + A = 329[/tex] -- (1)

[tex]2A + S + A = 329[/tex]

[tex]3A + S = 329[/tex]

Make S the subject

[tex]S = 329 - 3A[/tex]

[tex]5C + 7S + 12A = 2388[/tex] -- (2)

[tex]5*2A + 7S + 12A = 2388[/tex]

[tex]10A + 7S + 12A = 2388[/tex]

[tex]7S + 22A = 2388[/tex]

Substitute [tex]S = 329 - 3A[/tex]

[tex]7(329 - 3A) + 22A = 2388[/tex]

[tex]2303 - 21A + 22A = 2388[/tex]

[tex]2303 +A = 2388[/tex]

Solve for A

[tex]A = 2388 - 2303[/tex]

[tex]A = 85[/tex]

Recall that: [tex]C = 2A[/tex]

[tex]C = 2 * 85[/tex]

[tex]C = 170[/tex]

Recall that: [tex]S = 329 - 3A[/tex]

[tex]S = 329 - 3 * 85[/tex]

[tex]S = 329 - 255[/tex]

[tex]S = 74[/tex]

Hence, the result is:

[tex]C = 170[/tex]

[tex]S = 74[/tex]

[tex]A = 85[/tex]

Answer:

Down Below

Step-by-step explanation:

The answer is actually

162 children

86 students

81 adults

162x5=810

86x7=602

81x12=972

I found the original problem and the total ticket sale was $2384.

So I wrote the answers for the original problem just in case!

Ty for your time!

9514 1404 393

Answer:

  12 or 103

Step-by-step explanation:

The given angle is opposite the shorter side, so there will be two solutions.

In order to find f, we need to know angle F. We can find that by first finding angle E.

  E = arcsin(e/d·sin(D)) = arcsin(71/62·sin(36°)) = 42.307° or 137.693°

  F = 180° -D -E = 180° -36° -{42.307°, 137.693°} = {101.693°, 6.307°}

Then the measure of f is ...

  f = sin(F)/sin(D)×d = 62/sin(36°)×sin({101.693°, 6.307°})

  f = {103.29, 11.59}

Side f is either 12 or 103.

Answer:

Step-by-step explanation:

Find ∠E

Find m∠F

Find f

Answer:

A bear weighing 4,521 grams would weight 4.521 kilograms

Answer:

the answer is 50

Step-by-step explanation:

Answer:

256.4

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

y = mx + b

Step-by-step explanation:

Answer:

X= 12√3

y=12

Step-by-step explanation:

To find x

Cos30°=x/24

√3/2=x/24

x=12√3

To find y

Sin30°=y/24

1/2=y/24

y=12

hope it helps

have a great day!!

Answer:

b. you sold 17

c. your friend sold 25

Step-by-step explanation:

you=y your friend=x

y=x-8

42=x +y

42=x+(x-8)

42=x+x-8

42=2x-8

50=2x

25=x

Use x to solve for y...

y=25-8

y=17

Answer:

15x9 is 130 but, what u mean by divided by 2 fraction?

Step-by-step explanation:

135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2

Answer:

$753.34

Step-by-step explanation:

Answer:

499-424.15=74.85

499:100=4.99

74.85:4.99=15 is the percent of the discount

100-15=85 is the percent of the original price that you pay  

Step-by-step explanation:

Answer:

the answer woiuld be 60

Step-by-step explanation:

supplementary angles are 180

180-120=60

x=60

Answer:

B

Step-by-step explanation:

its not A cause theres 17 kids

its not D

its not c cause less than half of the students volunteer for 9 hours or more

the only one it can be is B because it's not correct theres exactly 6 students less than 7 hours not 6

Answer:

I cant see anything on that picture. Wish I could help bruv. I wish I could help. It's a shame innit.

Answer: The best choice from the provided options is the "Cube".

Step-by-step explanation: The cube is also called "rectangular hexahedron," because it has 6 congruent (meaning figures that are identical in form) faces.

Answer:

Harry's father is 8 inches taller than his mother.

Step-by-step explanation:

1 foot=12 inches

12x6=72

72-64=8

Can I please have Brainliest?

Answer:

75

Step-by-step explanation:

The sum of internal angles in a triangle is equal to 180

58 + 47 + x = 180

105 + x = 180 subtract 105 from both sides

x = 75

This is an acute triangle so each angle has to be less than 90 degrees in total we already have 105 and then lastly you can find out the last angle is kind of the same angle of angle 58 so its closer to 58 than 47 this is just a clue to the answer because I cant measure the angle from over the screen.

The dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.

Measurement is a branch of mathematics used in determining the area and volume of an object.

From the question,

Let the length of the two rectangular corrals be x

Let the length of the three fence section be y

Note that the area of the rectangle A = length * width

A = xy .....1

Also, since the rectangular corrals are to be made from 100 yd, then;

3x + 2y = 100 ..... 2

Divide through by 2

3x/2 + 2y/2 = 100/2

1.5x + y = 50

y = 50 - 1.5x .... 3

Substitute equation 3 into 1 to have:

A = x(50-1.5x)

A = 50x - 1.5x²

Since the total area is to b maximized, this means that:

dA/dx = 0

dA/dx = 50 - 3.0x

0 = 50 - 3x

3x = 50

x = 50/3 yards

Substitute the value of x into equation 3:

y = 50 - 1.5x

y = 50 - 1.5(50/3)

y = 50 - 25

y = 25yards

Hence the dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.

Learn more here: https://brainly.com/question/10369514

Answer:

$12 off w discount

$48 selling price

Step-by-step explanation:

Answer:

a. 20%=$12.00   b. price was $48.00

Step-by-step explanation:

60*20%=12

60-12=48

Answer:

64.2 in

Step-by-step explanation:

From deltamath

Yeah

Answer:

surface area = 2(length× breadth) +2(length ×height) +2(height×breadth

Answer:

Step-by-step explanation:

7x + 9 = 9x - 19. [Corresponding Angles]

=> 9x - 19 = 7x + 9

=> 9x - 7x = 19 + 9

=> 2x = 28

[tex] = > x = \frac{28}{2} [/tex]

=> x = 14 (Ans)

Answer:

Model 1

Step-by-step explanation:

The model with higher adjustable R2 values is more suitable for the prediction showing the relationship between shelf space and sales.  This is simply because the Higher the value, the more accurate its result will be as regards the prediction

Answer:

9, 15

Step-by-step explanation:

x = smaller number

y = larger number

system of equations:

x + y = 24

3x = 2y - 3

substitution method:

x = 24 - y

3(24 - y) = 2y - 3

72 - 3y = 2y - 3

72 = 5y - 3

75 = 5y

y = 15

x + 15 = 24

x = 9

Answer:

Step-by-step explanation:

0.1     ;-;