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3 years ago

Evaluate 3x + 5 when x = 8

Mathematics

2 answers:

Allushta [10]3 years ago

5 0

Answer:

Step-by-step explanation:

3x8 = 24 + 5 is 29

SSSSS [86.1K]3 years ago

5 0

Substitute the value of the variable into the equation and simplify

Answer: 29

You might be interested in

There are 2 more angles. m angle 7 and m angle 8

Licemer1 [7]

ANSWER:

A and B aren't parallel lines, as the alternate angles aren't equivalent to each other.

For m angle 1 -

Vertically opposite angles are equivalent to each other.

m angle 1 is vertically opposite m angle 4.

Therefore:

m angle 4 = 100

m angle 1 = m angle 4

m angle 1 = 100

For m angle 6 -

Co-interior angles add up to 180°.

m angle 4 and m angle 6 are co-interior angles.

Therefore:

m angle 4 = 100

m angle 4 + m angle 6 = 180

100 + m angle 6 = 180

m angle 6 = 180 - 100

m angle 6 = 80

For m angle 7 -

Vertically opposite angles are equivalent to each other.

m angle 6 is vertically opposite m angle 7.

Therefore:

m angle 6 = 80

m angle 7 = m angle 6

m angle 7 = 80

For m angle 8 -

Corresponding angles are equivalent to each other.

m angle 8 and m angle 4 are corresponding angles.

Therefore:

m angle 4 = 100

m angle 8 = m angle 4

m angle 8 = 100

Hence, the angles are as follows:

m angle 1 = 100

m angle 6 = 80

m angle 7 = 80

m angle 8 = 100

Hope this helps! <3

5 0

3 years ago

Jon recently drove to visit his parents who live 270 270 miles away. On his way there his average speed was 24 24 miles per hour

Ber [7]

Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

(s - 36)(s + 15) = 0

s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.

3 0

3 years ago

A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

3 0

3 years ago

Nick wanted to determine the length of one blade of a windmill. He stood at a point on the ground 440 feet from the windmill's b

mafiozo [28]

Answer:There are two right triangles. You need to find the opposite side (the height) of each of them. The difference between the two is the height of the blade, x.

You know the adjacent, 440, and you are looking for the opposite, so you need to use tan for both.

tan (30) = y / 440

y = 440 * tan (30) = 254.034...

tan (38.8) = z / 440

y = 440 * tan (38.8) = 353.769.--

353.8 - 254.0 = 99.8 = 100 feet.

Step-by-step explanation:

7 0

2 years ago

Factor x + x²y + x³y² and 10ℎ³????³ – 2h????² + 14hn

xenn [34]

What is the question marks for?

The First One Answer is

x•(1+xy+x^2y)

8 0

3 years ago