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lorasvet [3.4K]
3 years ago
13

The sum of twice a number and five is greater than three times the number minus three.

Mathematics
2 answers:
AnnZ [28]3 years ago
5 0

Answer:

x<8

Step-by-step explanation:

2x+5>3x-3

2x+8>3x

8>x

strojnjashka [21]3 years ago
5 0

Answer:

n < 8

Step-by-step explanation:

Let n represent the unknown number.  Then:

2n + 5 > 3n - 3

Collecting like terms:

8 > n or n < 8

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Describe the relationship between n and 4 that will make the value of the expression 7xn4greater than7
valina [46]

Answer:

As per the statement: the value of the expression 7 x n/4 greater than 7.

To describe the relationship between n and 4.

"greater than" symbol is represented by '>'

The value of expression 7 \times \frac{n}{4} grater than 7 is;

7(\frac{n}{4}) > 7

Divide by 7 both sides we get;

\frac{n}{4} > 1

Multiply both sides of an equation by 4 we get;

n > 4

Therefore, the relationship between n and 4 is, n > 4



8 0
4 years ago
Roshan makes the table below to describe how to draw a ray diagram for a convex lens.
VikaD [51]

Answer:

The ray that goes parallel to the main axis after passing through the lens should also be parallel from the object to the lens

Step-by-step explanation:

To form the image of an object using a convex lens, ray diagrams are used. The following steps are followed when drawing ray diagrams.

1) Light rays are drawn from the object incidented on the lens and parallel to the principal axis. The incident light refracts (bends) through the lens and converges at the focal point at the other side of the lens.

2) Another incident light passes through the optical centre undeflected and intersect with the refracted ray at the other side of the lens.

Based on the above points, Roshan made an error by drawing the ray that goes parallel to the main axis and after passing through the lens made the same ray to be parallel from the object to the lens instead of refracting (bending) after passing through the lens.

7 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the points (1, −10) and (−4, −7)?
nignag [31]

Hi there! :)

First, let's find the slope using this formula:

m=\frac{y2-y1}{x2-x1}

m=\frac{-7-(-10)}{-4-1} \\\frac{-7+10}{-5} \frac{3}{-5} =-\frac{3}{5}

Now, use the Point-Slope formula:

y-y1=m(x-x1)

y-(-10)=-3/5(x-1)

y+10=-3/5x+3/5

y=-3/5x+3/5-10

y=-3/5x-9.4

Hope this helps..

~Just an emotional teen who listens to "Try Everything"

SilentNature

4 0
2 years ago
Find the volume of the composite solid. Round your answer to the nearest tenth.
EastWind [94]

Answer:

646.04 cm³

Step-by-step explanation:

<u>Cube volume formula:</u>

V=l*w*h

V=8*8*8

V=512

<u>Hemisphere volume formula:</u>

V=(4/3πr³)1/2

V=(4/3π4³)1/2

V=128/3

<u>Add both together</u>

128/3 + 512 ≈ 646.04cm³

4 0
3 years ago
A merchant has coffee worth $20 a pound that she wishes to mix with 70 pounds of coffee worth $90 a pound to get a mixture that
Dvinal [7]

Let us start with assuming the amount of coffee worth $20 a pound to be "x" pounds.

Now she wants to mix "x" pounds of $20 coffee with 70 pounds of $90 coffee.

So the mixture would be (x + 70) pounds.

And the value of mixture would be = 20·x + (90)·(70) = (20x + 6300) dollars.

She want to sell this mixture at rate of $30 a pound. Her earning would be = 30·(x + 70) = (30x + 2100) dollars.

We know that the value of mixture would be equal to her earnings.

30x + 2100 = 20x + 6300

30x - 20x = 6300 - 2100

10x = 4200

x = 420

So, 420 pounds of $20 coffee would be used.

7 0
3 years ago
Read 2 more answers
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