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3 years ago

34(3x+6)−14(5x−24) =

Mathematics

2 answers:

EleoNora [17]3 years ago

8 0

Answer:

32x+540

Step-by-step explanation:

Nadya [2.5K]3 years ago

3 0

Answer:

32x + 540

Step-by-step explanation:

1. Solve the multiplication:

102x +204 - 70x + 336

2.Simplify

32x + 540

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Find y when x = 12, if y = 2 when x = 5

AleksAgata [21]

Y = kx
k = y/x
k = 2/12
k = 1/6

so when x = 12
y = kx
y = 1/6(5)
y = 5/6

answer
when x = 5 y = 5/6

7 0

3 years ago

A ship leaves port at noon and has a bearing of S29oW. The ship sails at 20 knots. How many nautical miles south and how many na

ira [324]

Answer:

Approximately $58.2\; \text{nautical miles}$ (assuming that the bearing is ${\rm S$29^{\circ}$W}$ .)

Step-by-step explanation:

Let $v$ denote the speed of the ship, and let $t$ denote the duration of the trip. The magnitude of the displacement of this ship would be $v\, t$ .

Refer to the diagram attached. The direction ${\rm S$29^{\circ}$W}$ means $29^{\circ}$ west of south. Thus, start with the south direction and turn towards west (clockwise) by $29^{\circ}$ to find the direction of the displacement of the ship.

The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of $v\, t$ . The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly $29^{\circ}$ .

Since the hypotenuse is of length $v\, t$ , the dashed line segment opposite to the $\theta = 29^{\circ}$ vertex would have a length of:

$\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}$ .

Substitute in $\begin{aligned} v &= 20\; \frac{\text{nautical mile}}{\text{hour}}\end{aligned}$ and $t = 6\; \text{hour}$ :

$\begin{aligned} & v\, t\, \sin(29^{\circ}) \\ =\; & 20\; \frac{\text{nautical mile}}{\text{hour}} \times 6\; \text{hour} \times \sin(29^{\circ}) \\ \approx\; & 58.2\; \text{nautical mile}\end{aligned}$ .

7 0

2 years ago

Solve for x. 4 - 3x 2 = 5 A) -2 B) - 1 2 C) 1 2 D) 2

Fudgin [204]

Answer:

This problem was pasted incorrectly

Step-by-step explanation:

4 0

3 years ago

I’ll give brainlist to anyone who gets it right

slamgirl [31]

Answer:

the answer is 3 i think ik its wrong tho

Step-by-step explanation:

3 0

3 years ago

The sum of three consecutive multiples of 7 is 357.find the smallest multiple.

Afina-wow [57]

Answer:

112, 119 and 126.

Step-by-step explanation:

Let the consecutive multiples of 7 be 7n, 7(n+1) and 7(n+2) where n is an integer, then:-

7n + 7n + 7 + 7n + 14 = 357

21n + 21 = 357

21(n + 1) = 357

n = (357/21) - 1

n = 17 + 1 = 16.

So the numbers are 7*16 = 112, 7*17 = 119 and 7*18 = 126.

3 0

3 years ago