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4 years ago

Which of the following expressions represents "no more than 5"?

Mathematics

2 answers:

Luden [163]4 years ago

6 0

X_< 5 Shows no more than 5

Ira Lisetskai [31]4 years ago

3 0

Your answer would be x ≤ 5, as ≤ means greater than or equal to

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a roller coaster train with 6 passenger cars and the front decoration has a mass of 3500 kg. when the train has the front decora

Arada [10]

Answer:

The mass of each passenger is 550 kg.

The mass of front decoration is 200 Kg.

Step-by-step explanation:

Given : A roller coaster train with 6 passenger cars and the front decoration has a mass of 3500 kg. when the train has the front decoration and only 4 passenger cars, it has a mass of 2400 kg.

To find : What is the mass of the decoration and of each passenger car?

Solution :

Let the mass of each passenger is x.

Let the mass of front decoration is y.

When the number of passenger = 6

Mass of 6 passengers and front decoration = 3500 kg.

The equation form is $6x+y=3500$ ..........[1]

When the number of passengers = 4

Mass of 4 passengers and front decoration = 2400 kg.

The equation form is $4x+y=2400$ ........[2]

Solving equation [1] and [2]

Subtract equation [2] from [1],

$6x+y-4x-y=3500-2400$

$2x=1100$

$x=550$

Put value in [1],

$6(550)+y=3500$

$3300+y=3500$

$y=200$

Therefore, The mass of each passenger is 550 kg.

The mass of front decoration is 200 Kg.

8 0

3 years ago

Find the slope and y-intercept of the line that is parallel to y = -x - 3 and passes through the point (3, -2)

motikmotik

Use point slope formula y-y1=m(x-x1)
You are told that y=-x+3. This equation is of the form y=mx+b. Where m=-1. m is the slope. And you have a point (x1,y1) that is (3,-2). With all of this in mind, you then plug all of these details into the point slope formula y-y1=m(x-x1)

In point slope form, you have the following:

y-(-2)=-1(x-3).

To turn this into slope intercept form, simplify y-(-2) to get y+2 and distribute in the -1 to get:

y+2=-x+3

Subtract 2 from both sides to get

y=-x+1

In slope intercept form, the answer is
y=-x+1 and in point slope form, the answer is y+2=-x+3

Hope this helps!!!

3 0

3 years ago

Plz look at the attach photo . to help thank you

Elden [556K]

Answer:

your answer is correct.. its 10

Step-by-step explanation:

you got to look at the length of each line
observe the distance between each letter and calculate your answer

as you can see the line DC and EF are the same exact length.

CM =5

line CM is half of line DC. which means to fine the length of EF you must multiply 5 by 2 (5×2) to get the length of EF which is 10

hope this helps

8 0

3 years ago

Find the equation of the line. Write the equation using function notation. Through (-3,-9); parellel to 5x+3y=8

mihalych1998 [28]

Answer:

The equation of a parallel line in point-slope form would be f(x) = -5/3x - 14

Step-by-step explanation:

To find this, we must first find the slope of the original line. We can do this by solving for y.

5x + 3y = 8

3y = -5x + 8

y = -5/3x + 8/3

Now that we have the slope of the original line, we can use the point and slope and put them into the base form of point-slope form. Then we solve for y to get the final result.

y - y1 = m(x - x1)

y + 9 = -5/3(x + 3)

y + 9 = -5/3x - 5

y = -5/3x - 14

Then to get the function notation, we need to replace the y with f(x).

f(x) = -5/3x - 14

3 0

3 years ago

Help please give the RIGHT answer :( Brainliest too, this is IXL

natta225 [31]

The answer is 3/10 ( hope this helps)

7 0

3 years ago

Read 2 more answers