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2 years ago

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

Mathematics

1 answer:

kvasek [131]2 years ago

3 0

Answer:

–6x + 15 < 10 – 5x

An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

Step-by-step explanation:

When you break down -6x + 15 < 10 - 5x, you get x > 5.

Because x is GREATER than 5, when making a number line, there is an open circle on 5 and a bold line pointing to the right.

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andrew11 [14]

Answer:linear association

Step-by-step explanation:

7 0

2 years ago

If the circumference is 78.1 inches what is the diameter rounded to the nearest 10th

hammer [34]

Answer:

The diameter of the circle is 24.9 in

Step-by-step explanation:

To solve this exercise we need to use the circumference formula of a circle and clear d:

c = circumference = 78.1 in

d = diameter

π = 3.14

c = π * d

d = c / π

we replace the known values

d = 78.1 in / 3.14

d = 24.8726 in

round to the nearest tenth

d = 24.8726 in = 24.9 in

The diameter of the circle is 24.9 in

5 0

2 years ago

How do you make x the subject of: 9x + 2 = 6x + 2y.

UNO [17]

Working is attached :)

5 0

3 years ago

A bakery made 26 cherry pies, using 115 cherries for each pie. They threw away 36 cherries that were bad. If they used all the c

Artemon [7]

The bakery start with 2954 cherry

Solution:

Given that,

A bakery made 26 cherry pies, using 115 cherries for each pie

So they used 115 cherry for each pie

26 cherry pies, 115 cherry per pie

Therefore,

Number of cherries used = 26 x 115 = 2990 cherries used

They threw away 36 cherries that were bad

36 cherry were bad

2990 - 36 = 2954

Thus they start with 2954 cherries

7 0

3 years ago

If a rectangle is altered by increasing its length by 20 percent and its width by 10 percent, its area increases by a percent. W

aleksklad [387]

Answer:

Step-by-step explanation:

Remember that the formula for the area of a rectangle is:

$A=lw$

Where l is the our length and w is our width.

If we increase our length by 20%, this means that we add 20% or 0.2 of our old length to our old length. So, our new length will be:

$l_{new}=l+.2l$

Combine like terms:

$l_{new}=1.2l$

Similarly, if we increase our width by 10%, this means that we add 10% or 0.1 of our old width to our old width. So, our new width is:

$w_{new}=0.1w+w$

Combine like terms:

$w_{new}=1.1w$

Therefore, our new area will be:

$A_{new}=(l_{new})(w_{new})$

Substitute 1.2l and 1.1w. This yields:

$A_{new}=1.2l(1.1w)$

Multiply:

$A_{new}=1.32lw$

Our old area is:

$A_{old}=lw$

So, our area increased by a factor of 1.32.

This is the same as 32% of our old area.

So, our answer is D.

And we're done!

5 0

3 years ago