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3 years ago

Who can find the value of x

Mathematics

1 answer:

NARA [144]3 years ago

7 0

105 = 67 + x
x = 105 - 67
x = 38

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The lines shown below are parallel. If the green line has a slope of -3/7, what is

BartSMP [9]

Answer: the slope of green line = $-\frac37$

Step-by-step explanation:

We know that,

If two lines are parallel then their slopes(rate of change of y with respect to x) are equal.

Given: The red line and the green line are parallel.

The slope of red line = $-\frac37$

Then, the slope of green line = $-\frac37$ [Slopes of two parallel lines are equal]

Hence, the slope of green line = $-\frac37$

7 0

2 years ago

A boat travels 33 miles downstream in 4 hours. The return trip takes the boat 7 hours. Find the speed of the boat in still water

Paha777 [63]

Answer:

Speed of the boat in still water = 6.125 miles/hour

Step-by-step explanation:

We are given that a boat travels 33 miles downstream in 4 hours and the return trip takes the boat 7 hours.

We are to find the speed of the boat in the still water.

Assuming $S_b$ to be the speed of the boat in still water and $S_w$ to be the speed of the water.

The speeds of the boat add up when the boat and water travel in the same direction.

$Speed = \frac{distance}{time}$

$S_b+S_w=\frac{d}{t_1}=\frac{33 miles}{4 hours}$

And the speed of the water is subtracted from the speed of the boat when the boat is moving upstream.

$S_b-S_w=\frac{d}{t_2}=\frac{33 miles}{7 hours}$

Adding the two equations to get:

$S_b+S_w=\frac{d}{t_1}$

+ $S_b-S_w=\frac{d}{t_2}$

___________________________

$2S_b=\frac{d}{t_1} +\frac{d}{t_2}$

Solving this equation for $S_b$ and substituting the given values for $d,t_1, t_2$ :

$S_b=\frac{(t_1+t_2)d}{2t_1t_2}$

$S_b=\frac{(4 hour + 7hour)33 mi}{2(4hour)(7hour)}$

$S_b=\frac{(11 hour)(33mi)}{56hour^2}$

$S_b=6.125 mi/hr$

Therefore, the speed of the boat in still water is 6.125 miles/hour.

6 0

3 years ago

Read 2 more answers

A rectangle has an area of 143 square meters and a width of 6. 5 meters. What is the length, l, of this rectangle? l = 121 m l =

lapo4ka [179]

L = 22 because area equals length times width. So if you divide the area (143) by the width (6.5) you get 22

8 0

2 years ago

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Please help me with this 324x34

dexar [7]

The answer is 11,016

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3 years ago

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Can someone help me please ASAP?

PtichkaEL [24]

Answer:

the answer is the right because it has the least negative so its 0. the left is -2 which is less then zero.

Step-by-step explanation:

5 0

3 years ago