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3 years ago

Solve the inequality 31< 3x+4

Mathematics

1 answer:

mariarad [96]3 years ago

4 0

31 < 3x+4

subtract 4 from both sides

27 < 3x

divide by 3 from both sides

9 < x

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The expression 3 × n can be written without the multiplication sign as 3n. For each expression in parts (a)–(c), Use n = 1, 2, 3

baherus [9]

You can because you already know the number is 3 and the blank number is n

7 0

3 years ago

The disk enclosed by the circle x+y = 4 is revoived about the y-axis to generate solid sphere. A hele of diameter 2 units is the

Vesnalui [34]

Step-by-step explanation:

Suppose we have a curve, y = f(x).

y = f(x)

x = a x = b

Imagine that the part of the curve between the ordinates x = a and x = b is rotated about the

x-axis through 360◦

. The curve would then map out the surface of a solid as it rotated. Such

solids are called solids of revolution. Thus if the curve was a circle, we would obtain the surface

of a sphere. If the curve was a straight line through the origin, we would obtain the surface of

a cone. Now we already know what the formulae for the volumes of a sphere and a cone are,

but where did they come from? How can they calculated? If we could find a general method

for calculating the volumes of the solids of revolution then we would be able to calculate, for

example, the volume of a sphere and the volume of a cone, as well as the volumes of more

complex solids.

To see how to carry out these calculations we look first at the curve, together with the solid it

maps out when rotated through 360◦

y = f(x)

Now if we take a cross-section of the solid, parallel to the y-axis, this cross-section will be a

circle. But rather than take a cross-section, let us take a thin disc of thickness δx, with the face

of the disc nearest the y-axis at a distance x from the origin.

www.mathcentre.ac.uk 2

6 0

3 years ago

Alaina evaluated 1718+120 and got an answer of 1838. Which statement is true about her answer?

Setler79 [48]

Answer:

Her answer is not correct because the sum cannot be less than either addend.

The correct answer is $\frac{179}{180}$

Step-by-step explanation:

Given:

The expression to add is given as:

$\frac{17}{18}+\frac{1}{20}$

Alaina got the answer as $\frac{18}{38}$

Let us first try to add the fractions and arrive at the answer.

Taking LCD of 18 and 20, we get LCD = 180

Now, making denominators of each fraction equal to 180 and changing the numerators accordingly.

$=\frac{17\times 10}{18\times 10}+\frac{1\times 9}{20\times 9}\\=\frac{170}{180}+\frac{9}{180}\\=\frac{170+9}{180}=\frac{179}{180}$

Therefore, the result of Alaina is not correct because she got an answer which is less than the fraction $\frac{17}{18}$ . But when we add two fractions, the result must be greater than either of the addend.

Therefore, her answer is not correct because the sum cannot be less than either addend.

5 0

3 years ago

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Help me with these questions

natulia [17]

Number 5a. is 26.78 and 5b. is 8.5

5 0

3 years ago

PLEASEEEEEE HELPPPPP !!!!!!!!

Nata [24]

(-1,-2) and (3,3) will be the coordinates to your problem.

7 0

3 years ago

Read 2 more answers