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DanielleElmas [232]
3 years ago
9

The solution to an inequality is graphed on the number line.

Mathematics
2 answers:
maxonik [38]3 years ago
7 0

Answer: B. {x | x ≤ 4.5}

Step-by-step explanation:

Open Dot - (< less than) or (> greater than)

Closed Dot - (≤ less than or equal to) or (≥ greater than or equal

Solution:

Then number-line shows a closed dot at 4.5. This shows that x is a number that is less than or equal to 4.5!

Charra [1.4K]3 years ago
4 0

Because the arrow is pointing to the left, the answer to the solution set needs to be less than the the number the dot is on.

A solid dot on a number means that that number is included in the solution set.

In the picture the solid dot is on 4.5, so the solution set needs to be equal to or less than 4.5.

The answer is:

{x | x ≤ 4.5}

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If 3 ice cream cones cost 8.25 how much do 2 ice cream cones cost
Fed [463]

If 3 ice cream cones cost 8.25 how much do 2 ice cream cones cost?

1 cone cost

8.25 : 3 = 2.75


2 cones cost

2.75 * 2 = 5.5

or

(8.25 : 3) * 2 = 5.5




4 0
3 years ago
Read 2 more answers
Help me please help pleaseeeeeeeeeeeee
LenaWriter [7]

Answer:

(8,3)

Step-by-step explanation:

Point c is seven units away from the line x = 1

So we move seven units to the right of the line x = 1

the x value = 8

y value = 3

Coordinates = (8,3)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

3 0
3 years ago
Calculate the specific heat of a metal (in calories/gram-degree C) from the following data. A container made of the metal has a
Arisa [49]

Answer:

<h2>The specific heat of the metal is 0.274951 calories/gram-degree C.</h2>

Step-by-step explanation:

Let, the specific heat of the container is x calories/gram-degree C.

The container and water gains (18 - 15) = 3 degrees C.

Hence, the transfer of heat is 3(18.1\times1000\times1) + 3(3.77x\times1000).

The metal, which is dropped in the water, losses (164 - 18)= 144 degrees C.

Hence, the transfer of heat is 144\times 1.45\times1000x.

As per the given conditions,

3(18.1\times1000) + 3(3.77x\times1000) = 144\times1.45\times1000x\\54.3 + 11.31x = 208.8x\\197.49x = 54.3\\x = 0.274951.

6 0
3 years ago
A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top
PtichkaEL [24]

Answer: 9.19 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is distance between the top of the ladder and the ground.

Replacing with the values given:  

Sin 45 = x/ 13

Solving for x  

sin45 (13) =x  

x= 9.19 ft

Feel free to ask for more if needed or if you did not understand something.  

6 0
3 years ago
With the beam being held still at a height of 40 m, the crane breaks and the beam falls to the ground. Assuming no air resistanc
lapo4ka [179]
What we have so far:
Kinetic energy = 0. The reason behind that is because the beam is not moving at a height of 40m.
Gavity, g = 9.8m/s²
Height = 40m
Potential energy = mgh; this is equal to 0 because m, stands for mass and in this problem, we do not have a value for the mass of the beam. Hence, 0 x 9.8m/s² x 40m = 0. Potential energy = 0.

Solution:
We will use the equation of Total energy:
TE = potential energy + kinetic energy

TE = 0 + 0

∴ TE = 0

The answer is: Assuming no air resistance, the total energy of the beam as it hits the ground is 0.
8 0
3 years ago
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