All categories

1 year ago

54 divided by _____ = -27

Mathematics

1 answer:

Nikitich [7]1 year ago

6 0

54/-2 = -27

First, let's rewrite:

Let x represent the unknown number:

$\frac{54}{x}=\text{ -27}$

$\begin{gathered} \frac{54}{x}\text{ = -27} \\ 54\text{ = -27x} \\ \text{Divide both sides by -27} \\ \frac{54}{-27}=\text{ }\frac{-27x}{-27} \end{gathered}$ $\begin{gathered} 27\times2\text{ = 54} \\ x\text{ = -2 (because we are dividing positive number by a negative number)} \\ So\text{ our answer will be negative} \end{gathered}$

Hence, 54/-2 = -27

You might be interested in

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then

Ivan

Complete question is;

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.

a. What equation can you use to find the distance of the flowerbed from the hive?

b. How far is the flowerbed from the hive?

Answer:

A) (d/9) + 900 + (d/6) = 1080

B) d = 648 ft

Step-by-step explanation:

A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.

Time taken is given as;

t = distance/speed

If distance is d from the hive to the flower bird.

Then, t1 = d/9

The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.

We are told that the bee flew directly back to the hive at 6 feet per second.

Thus,time is;

t3 = d/6

Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s

Thus;

(d/9) + 900 + (d/6) = 1080

B) Since we have derived;

(d/9) + 900 + (d/6) = 1080

Then we can find d.

Multiply through by 18 to get;

2d + (900 × 18) + 3d = 1080 × 18

2d + 16200 + 3d = 19440

5d = 19440 - 16200

5d = 3240

d = 3240/5

d = 648 ft

4 0

2 years ago

What is the measure of \angle 1?, What is the measure of \angle 2?, What is the measure of \angle 4? and What is the measure of

mote1985 [20]

Answer:

<1 and <6 = 98

<2 and <3 = 139

<4 and <5 = 123

Step-by-step explanation:

82 + 9x - 6 + 6x - 1 = 180

15x + 75 = 180

15x = 105

x = 7

<1:

x + 82 = 180

x = 98

<2:

6x - 1 = 6(7) - 1 = 41

x + 41 = 180

x = 139

<3 = <2 because of vertical angle thm so <3 = 139

<5:

9x - 6 = 9(7) - 6 = 57

x + 57 = 180

x = 123

<4 = 5 because of vertical angle thm

<6 = <1 because of vertical angle thm

8 0

2 years ago

Find the area of the figure shown

allsm [11]

Its 23 all you have to do is times all the numbers around

5 0

3 years ago

Read 2 more answers

Which statement is true ?

8090 [49]

Answer:

f(x)=4x^2

f(2)=4(2)^2

f(2)=4(4)

f(2)=16

2. g(x)=4*2^x

g(2)=4*2^2

g(2)=4*4

g(2)=16

f(2)=g(2)

Both is equal to 16

I hope this help you :)

Step-by-step explanation:

8 0

3 years ago

The city of Anville is currently home to 16000 people, and the population has been growing at a continuous rate of 4% per year.

Nesterboy [21]

Answer

After 13.15 years the population of both towns will become equal.

Step-by-step explanation:

Population of the city Anville is given by using the compound interest formula

The formula of compound interest

A = p( 1+r/n)^n*t

using this we get

P1 = 16000 (1 + $\frac{0.04}{1}$ ) ^1*t

Population of the city of Brinker will be

P2 = 11000( 1 + $\frac{0.07}{1}$ ) ^1*t

now to make equal population in both towns

P1=P2

16000 (1 + $\frac{0.04}{1}$ ) ^1*t = 11000( 1 + $\frac{0.07}{1}$ ) ^1*t

$(\frac{1.04}{1.07} )^t = \frac{11}{16}$

t = 13.15 years

5 0

3 years ago