If 7x + 3 = 24, what is the value of 5 - 4x?

Answer:

5.2 in

Step-by-step explanation:

An equilateral triangle is a triangle with 3 equal sides

Divide the equilateral triangle into two congruent triangles and use Pythagoras theorem to find the height

The Pythagoras theorem : a² + b² = c²

where a =  height

b = base = 6 in / 2 = 3 in  

c =  hypotenuse = 6 in

6² = 3² + h²

h = 36 - 9 = 27

√27 = 5.196 inch

to the nearest tenth = 5.2 in

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

h(-11) = 68.57

Step-by-step explanation:

h(x) = 18.75 - 4.53x

h(-11) = 18.75 - 4.53(-11)

h(-11) = 18.74 + 49.83

h(-11) =:68.57

Answer:

[tex]P(x \le 10) = 0.85[/tex]

Step-by-step explanation:

Given

See attachment for properly presented question

Required

[tex]P(x \le 10)[/tex]

From the question, we understand that he takes 40 shots (trials)

So:

[tex]n = 40[/tex]

From the attached plot, the number of attempts up to the 10th is:

[tex]x \le 10 = 9+6+5+4+4+2+2+0+1+1[/tex]

[tex]x \le 10 = 34[/tex]

So, we have:

[tex]P(x \le 10) = \frac{n(x \le 10)}{n}[/tex]

[tex]P(x \le 10) = \frac{34}{40}[/tex]

[tex]P(x \le 10) = 0.85[/tex]

Answer:

60%

Step-by-step explanation:

Number of people ages 26 - 35 prefer Ad A = 12

Number of people ages 26 - 35 prefer Ad B = 8

Total people ages 26 - 35 = 12 + 8

= 20

Percent of people ages 26 - 35 prefer Ad A = Number of people ages 26 - 35 prefer Ad A / Total people ages 26 - 35 × 100

= 12/20 × 100

= 0.6 × 100

= 60%

Percent of people ages 26 - 35 prefer Ad A = 60%

Answer:

The final balance is £1,720.

The total compound interest is £520

you don't even to round it at all

Answer:

51.3 degrees

Step-by-step explanation:

Use Trig Ratio to solve for theta aka the angle formed between the ;adder and the ground.

So we have the hypotenuse = 24ft and the adjacent = 15ft so I am going to use the cos ratio.

cos ∅ = a/h

rearrange for theta

∅ = cos -1 ( a/h)

now sub in the information

∅ = 51.3178

now round to the nearest tenth

∅ = 51.3 degrees

write your therefore statement

therefore, the angle between the ladder and the ground is 51.3 degrees.

Answer:

61992

Step-by-step explanation:

Answer:

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

[tex]123 \times 504 \\ = 61992[/tex]

Answer:

After 2 months, they will both have 14 video games

Step-by-step explanation:

1st month)

Christopher: 10 + 2 = 12

Peter: 20 - 3 = 17

2nd month)

Christopher: 12 + 2 = 14

Peter: 17 - 3 = 14

Answer:

175 pi ^3

Step-by-step explanation:

The volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

Volume can be defined as a three-dimensional space enclosed by an object or thing.

As we know,

We can find the volume of the cylinder by using the given formula:

[tex]\rm V = \pi r^2 h[/tex]

The radius of the base r = 5 units

The height of the cylinder h = 7 units

[tex]\rm V = \pi (5)^2 (7)[/tex]

V = 25x7π

V = 175π cubic units

Or

V = 175π units³

Thus, the volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.

Learn more about the cylinder here:

brainly.com/question/3216899

#SPJ5

Answer:

it is x3-5

Step-by-step explanation:

start by multiplying linth times with times hight

Answer:

52 meters squared

Step-by-step explanation:

Hey, don't worry you'll do great on the test. Just relax before it and you'll be fine.

Basically, you need to find the area of each rectangle which isn't too hard. AS you can see, the first one 4 m x 5m = 12 m which is your first number. Then you can see another red rectangle. Since it's a net, the 4m side length would be the same and the other one is labeled 3 m. So, 4x3 = 12m. That's your second one. Then you see a yellow rectangle on the far left. Since we know the red rectangle has one side length of 3m, we can apply that to the yellow ones as well since it's a net. So 2x3=6 and same for the other yellow rectangle. Then, we see the purple rectangle on the top which has one length of 2m. But, the red rectangle below it had a length of 4m so we can bring that to this as well. so 2x4 = 8m (another number). Then, finally, the last rectangle below has one side of 4m and the yellow rectangle (remember) above has one side length of 2m (which we would bring down). So, 4x2=8m. So, we add them all together. 12+12+8+8+6+6 = 52 meters squared (dont forget units!)

Sorry if this was too long, but an edit: if you notice all the same colored rectangles have the same area, since it's a rectangular prism. so if you find one of the same color, you basically have the other one as well.

Good luck on your test, hope you do well!!

Answer:

[tex] \frac{x + 13}{8} = \frac{21}{x - 9} \\ {x}^{2} + 4x - 117 = 168 \\ {x}^{2} + 4x - 285 = 0 \\ (x - 15)(x + 19) = 0 \\ x = 15 \\ x = - 19[/tex]

Answer:

2√5

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

= √[1 - (-1)]² + [3 - (-1)]

= √(2)² + (4)²

= √(4) + (16)

= √20

= 2√5

I think x= -9

sorry if I'm wrong

Answer:

Height = 5meters

Step-by-step explanation:

Using the formula h= v over 3.14r^2 = 141.3 over 3.14 times 3^2 gives us 4.99747 meters.

Answer:

The 3rd one which is C

Step-by-step explanation:

It's the 3rd one because if you look at the orange like where the 2 and the 4 is you will see the orange line is between them two which that's where the 3 will go and the others don't have that, so it C hope this helps you!

the answer is obtuse

Step-by-step explanation:

mark me as a brainliest

Answer:

12x+16y

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

For this question we have the hypotonouse and need the opposite side

so out of SOH, CAH, TOA we will use SOH

sin(52)=x/19

19sin(52)=x

x=14.9722

which rounds to

15

Answer: The best player is expected to make  

21 more free​ throw(s).

Step-by-step explanation:

1) Make a proportion

2) Find the unknowns

3) Subtract the greater number from the smaller one

4) That's it.

Answer:

He is expected to make 21 more free throws

Step-by-step explanation:

we know that the probability for the best player is 8/10 or 80%

the probability for the second best is 13/20. This is equivalent to 65%

They each attempt 140 free throws.

We need to figure out what 80% of 140 is. To do this, we need to multiply 140 by 0.80. 140 * 0.80 = 112

We do the same for the second best

140 * 0.65 = 91

112 - 91 = 21.

Hope this helped

Answer:

13/8, 13 to 8, 13:8

Step-by-step explanation:

if they won 50 more than they lost and won a total of 130 games, this means they lost 80 games (130-50=80). we can then write this as 130:80, which simplifies to 13:8

Answer:

The answers are 13/8, 13 to 8, 13:8.

Step-by-step explanation:

Since Frederico's team won 50 more games than they lost, and the won 130 games, then you would subtract the two numbers to find their losses:

130 - 50 = 80

The ratio of there wins to losses is 130 to 80.

Then you need to simplify this answer, which would make the ratio 13 to 8.

Three ways to write this are 13/8, 13 to 8, 13:8.

It would be ABSOLUTLEY FANTABULOUS if I could get brainliest!!!!

Answer:

(Square, Right Triangle)

18 meters²

Step-by-step explanation:

You can divide the shape into a square and right triangle, see the attachment :)

The area of the square is the length times the width. So,

3 · 3 = 9

The area of the square is 9 m².

The triangle's area is the base times the height divided by 2. So,

6 · 3 = 18

18 / 2 = 9

The triangle has an area of 9 m².

Add these together.

9 + 9 = 18

The area is 18 meters².

Answer:

90 km

Step-by-step explanation:

Answer:

y=-26/5

x=29−5y/2

Step-by-step explanation:

Answer:

the Kinetic Energy of the marble at the later point is 0.0007 J

Step-by-step explanation:

Given;

initial potential energy of the marble, P.E₁ = 0.0018 J

final potential energy of the marble, P.E₂ = 0.0011 J

At the initial starting point, the total mechanical energy is;

M.E = K.E + P.E

at the initial starting point, velocity = 0

M.E = 0 + P.E

M.E = P.E = 0.0018 J

At some point later, the total mechanical energy is;

M.E = P.E + K.E

0.0018 J = 0.0011 J + K.E

0.0018 J - 0.0011 J = K.E

0.0007 J = K.E

Therefore, the Kinetic Energy of the marble at the later point is 0.0007 J

Answer:

14.18

Step-by-step explanation:

3.2*4.9= 15.68

15.68 -1.5 = 14.18

Answer:

x = 9

Step-by-step explanation:

When y = 6 :

2x + 3y = 36

2x + 3(6) = 36

2x + 18 = 36

2x = 36 - 18

2x = 18

x = 9