All categories

2 years ago

Find the linear inequality & show it on a number line: 5(x-3) < 20

Mathematics

1 answer:

IRINA_888 [86]2 years ago

6 0

Answer:

Step-by-step explanation:

5(x-3)<20

5x-15<20

5x<35

x<7

You might be interested in

What is the rate of heat transfer required to melt 1-ton of ice at 32 F in 24 hours?

LiRa [457]

Answer:

3865.74 J/s

Step-by-step explanation:

mass of ice, m = 1 ton = 1000 kg

time , t = 24 hours

latent heat of fusion of ice, L = 334000 J/kg

Heat required to melt, H = m x L

where, m is the mass of ice and L be the latent heat of fusion

So, H = 1000 x 334000 = 334 xx 10^6 J

Rate of heat transfer = heat / time = $\frac{334\times 10^{6}}{86400}$

Rate of heat transfer = 3865.74 J/s

thus, the rate of heat transfer is 3865.74 J/s.

8 0

3 years ago

Write an equation of the line that passes through (1,2) and is parallel to the line y = -5x +4

STatiana [176]

Answer:

y=-5x+7

Step-by-step explanation:

Prallel lines have the same slope

so the slope of the unknown line is -5

and passes through(1,2)

y-2=-5(x-1)

slope-intercept form:y=-5x+7

6 0

3 years ago

Consider the following 8 numbers, where one labelled

cupoosta [38]

Answer:

x = 73

x = -35

Step-by-step explanation:

Here are the 8 numbers:

34, 31, 15, x, 17, 4, 20, 25

Here are the 8 numbers in ascending order with x as the greatest number:

4, 15, 17, 20, 25, 31, 34, x

x - 4 = 69

x = 73

Here are the 8 numbers in ascending order with x as the smallest number:

x, 4, 15, 17, 20, 25, 31, 34

34 - x = 69

-x = 69 - 34

-x = -35

x = -35

Answer:

x = 73

x = -35

8 0

2 years ago

A watercolor painting is 24 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat t

sergeinik [125]

Given: It is given that the length of the painting is 24 inches and the width is 11 inches.

To find: Area of the mat

Solution:

The watercolor painting is 24 inches long by 11 inches wide.

So, the area of the painting is:

$\text{Area of painting}=l\times b$

$\text{Area of painting}=24\times 11$

$\text{Area of painting}=264 \text{ in}^2$

The length of painting with mat is = 24 in + 3 in + 3 in = 30 in

The width of painting with mat = 11 in + 3 in + 3 in = 17 in

$\text{Area of painting with mat}=30\times 17$

$\text{Area of painting with mat}=510 \text{ in}^2$

Now to calculate the area of mat subtracts the area of painting from the area of the mat.

$\text{Area of mat}=\text{Area of painting with mat}-\text{Area of painting}\\$

$\text{Area of mat}=510-264$

$\text{Area of mat}=246 \text{ in}^2$

Hence, the area of the mat is 246 in².

6 0

2 years ago

Which is not something that energy can do?

malfutka [58]

A energy can never be completely used up. When something "runs out of energy" it just runs out of use able energy that can be used to do the task that it was doing in the first place so it is now useless to that object and it must move on to be used for a different object.

3 0

3 years ago

Read 2 more answers