All categories

2 years ago

Solve.

Mathematics

1 answer:

Bas_tet [7]2 years ago

8 0

Answer:

No Solution

Step-by-step explanation:

We are given the equation:

$\displaystyle \large{|x|-5=-20}$

First, Add both sides by 5 which leaves us $\displaystyle \large{|x|=-15}$

By definition, an absolute value cannot be negative. There are no x-values that can equal to -15 because no matter what real numbers you put in or substitute, it will never become negative.

Hence, no solution.

You might be interested in

What is the volume of the rectangular prism if the length is 3cm the width is 4/3cm and the height is 3/5cm?

VMariaS [17]

Answer:

12/5 or 2.4 cm³

Step-by-step explanation:

3*4/3*3/5=12/5 or 2.4 cm³

8 0

3 years ago

A right square pyramid has an altitude of 10 and each side of the base is 6. To the nearest tenth of a centimeter, what is the d

Crazy boy [7]

Answer:

10.9

Step-by-step explanation:

I just used a pyramid calculator online and inputed the base and height.

4 0

2 years ago

I tell you these facts about a mystery number, $c$: $\bullet$ $1.5 < c < 2$ $\bullet$ $c$ can be written as a fraction wit

makkiz [27]

Answer:

Possible answer: $\displaystyle c = \frac{16}{10} = \frac{8}{5} = 1.6$ .

Step-by-step explanation:

Rewrite the bounds of $c$ as fractions:

The simplest fraction for $1.5$ is $\displaystyle \frac{3}{2}$ . Write the upper bound $2$ as a fraction with the same denominator:

$\displaystyle 2 = 2 \times 1 = 2 \times \frac{2}{2} = \frac{4}{2}$ .

Hence the range for $c$ would be:

$\displaystyle \frac{3}{2} < c < \frac{4}{2}$ .

If the denominator of $c$ is also $2$ , then the range for its numerator (call it $p$ ) would be $3 < p < 4$ . Apparently, no whole number could fit into this interval. The reason is that the interval is open, and the difference between the bounds is less than $2$ .

To solve this problem, consider scaling up the denominator. To make sure that the numerator of the bounds are still whole numbers, multiply both the numerator and the denominator by a whole number (for example, 2.)

$\displaystyle \frac{3}{2} = \frac{2 \times 3}{2 \times 2} = \frac{6}{4}$ .

$\displaystyle \frac{4}{2} = \frac{2\times 4}{2 \times 2} = \frac{8}{4}$ .

At this point, the difference between the numerators is now $2$ . That allows a number ( $7$ in this case) to fit between the bounds. However, $\displaystyle \frac{1}{c} = \frac{4}{7}$ can't be written as finite decimals.

Try multiplying the numerator and the denominator by a different number.

$\displaystyle \frac{3}{2} = \frac{3 \times 3}{3 \times 2} = \frac{9}{6}$ .

$\displaystyle \frac{4}{2} = \frac{3\times 4}{3 \times 2} = \frac{12}{6}$ .

$\displaystyle \frac{3}{2} = \frac{4 \times 3}{4 \times 2} = \frac{12}{8}$ .

$\displaystyle \frac{4}{2} = \frac{4\times 4}{4 \times 2} = \frac{16}{8}$ .

$\displaystyle \frac{3}{2} = \frac{5 \times 3}{5 \times 2} = \frac{15}{10}$ .

$\displaystyle \frac{4}{2} = \frac{5\times 4}{5 \times 2} = \frac{20}{10}$ .

It is important to note that some expressions for $c$ can be simplified. For example, $\displaystyle \frac{16}{10} = \frac{2 \times 8}{2 \times 5} = \frac{8}{5}$ because of the common factor $2$ .

Apparently $\displaystyle c = \frac{16}{10} = \frac{8}{5}$ works. $c = 1.6$ while $\displaystyle \frac{1}{c} = \frac{5}{8} = 0.625$ .

8 0

4 years ago

Read 2 more answers

Kenny is on the local swim team for the summer and has swim practice

AnnyKZ [126]

Answer:

She swims for 3 hours each morning.

Step-by-step explanation:

To determine the number of hours that Kenny swims in the morning, it is necessary to perform the following equation, taking into account that he swims 5 days a week for a total of 30 hours a week, and that in the afternoon he swims for 3 hours:

X + 3 x 5 = 30

X + 3 = 30/5

X = 6 - 3

X = 3

Therefore, Kenny swims for 3 hours in the morning.

3 0

3 years ago

Ratio

Rzqust [24]

Answer:

It will be 1:2 because of the step by step

Step-by-step explanation:

lcm is 2x2=4

And when dividing it will be 4x2=8

So it is 1:2

8 0

3 years ago