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2 years ago

2(x + 1 ) - 3(x + 5) ≥ 0 pls help

Mathematics

1 answer:

Furkat [3]2 years ago

6 0

Answer:

x≤−13

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

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The distance Train A travels is represented by d = 67t, where d is the distance in kilometers and t is the time in hours. The di

Thepotemich [5.8K]

Answer:

Train A's unit rate is 67 km per hour.

Train B's unit rate is 75 km per hour.

Train B is faster than Train A

Step-by-step explanation:

Train A

Distance traveled by Train A is represented by :

$d=67t$

where $d$ represents distance traveled in kilometers and $t$ is the time in hours.

To find the unit rate of Train A, we will plugin $t=1$ and get the distance traveled by Train A in 1 hour which will be the unit rate of Train A in km/hr.

$d=67(1)$

$d=67$

So, distance traveled by Train A in 1 hour = 67 km

∴ Train A's unit rate is 67 km per hour.

Train B

For Train B, we are given the table for the time in hours and distance traveled in that duration.

Taking time =2 hours the distance traveled by Train B= 75 km

To find distance traveled in 1 hour we apply unitary method.

$2\ hr = 150\ km$

So $1\ hr = \frac{150}{2}\ km = 75\ km$

So, distance traveled by Train B in 1 hour = 75 km

∴ Train B's unit rate is 75 km per hour.

Difference in units rates = $75-67=8\ km/hr$

On comparing their unit rate i.e. the speed of the trains we find out that Train B is faster than Train A by 8 km/hr

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3 years ago

What expression is equivalent to the square root of -80

Ganezh [65]

Answer:

Step-by-step explanation:

√-80

7 0

3 years ago

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What will the equation be if mowing need help. I need my lawn mowed every week from June through the middle of July. I will pay

sergij07 [2.7K]

So for the first week of june, say week 1, you have to pay then 35(1), 2nd week is 35(2), week 3 is 35(3) and week "w" say, is 35(w).

$\bf \stackrel{payment}{p}=35\stackrel{weeks}{w}\implies p=35w\qquad 1\le x\le 7$

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3 years ago

Definition and description of gravity

Goryan [66]

Answer:

1. the force that attracts a body toward the center of the earth, or toward any other physical body having mass.

2. extreme or alarming importance; seriousness.

"crimes of the utmost gravity"

Step-by-step explanation:

Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.

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3 years ago

The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what

harkovskaia [24]

The perimeter of the square is calculated through the equation,
4x = P
where P is the perimeter and x is the measure of the sides.

When P is 32 units then,
32 units = 4(x)
x = 8 inches

This 8 inches is the diameter of the cylinder formed by the rotation.
The circumference of the base is calculated through,
C = 2πr = πD
Substituting the known values,
C = π(8 units) = 8π units
When π is equal to 3.14, we solve for the numerical value of the cylinder as follows,
 C = 8(3.14) = 25.12 units
Thus, the figure formed is a cylinder with base circumference equal to 25 units. The answer is the third choice.

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3 years ago

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