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3 years ago

Name a number that can be evenly divided by 6 and and by 7

1 answer:

7 0

There are an infinite number of them. The smallest one is 42,
and every multiple of 42 is another one.

I don't remember the official correct way to solve this problem.
I can only show you my own way of doing it.

I take the bigger number, and I go through its multiples, one by one,
until I spot one that's also a multiple of the smaller one.

Example: 6 and 7.
Go through the multiples of 7:

7 ... no, not a multiple of 6
14 ... no, not a multiple of 6
21 ... no, not a multiple of 6
28 ... no, not a multiple of 6
35 ... no, not a multiple of 6
42 ... Yes ! A multiple of 6. yay !

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What is your first step when solving x/15 = 3/5? Explain I need this by tonight

DaniilM [7]

Answer:

Let's solve your equation step-by-step.

Answer:

x=9

Step-by-step explanation:

5 0

3 years ago

PLEASE HELP!

Leona [35]

Answer:

The initial temperature of the object was 37.6

Step-by-step explanation:

we have

$f(t)=Ce^{(-kt)} +20$

where

f(t) represent the temperature of the object in degree Celsius

t is the time in minutes

Find the value of the constant C

we have the ordered pair (4,35)

substitute in the equation and solve for C

$35=Ce^{(-0.0399*4)} +20\\Ce^{(-0.0399*4)}=15\\C=15/e^{(-0.0399*4)}\\C=17.6$

Find the initial value of the object

we know that

The initial temperature is the value of f(t) when the value of t is equal to zero

For t=0

$f(0)=(17.6)e^{(-k*0)} +20\\f(0)=17.6 +20\\f(0)=37.6$

therefore

The initial temperature of the object was 37.6 (I not include units)

7 0

3 years ago

Three numbers add up to 210. The second number is 10 more than the first and the third number is 3 times the first. Find the num

svp [43]

Answer:

I. First number, a = 40.

II. Second number, b = 50.

III. Third number, c = 120.

Step-by-step explanation:

Let the three numbers be a, b and c respectively.

Given the following data;

Translating the word problem into an algebraic equation, we have;

a + b + c = 210

b = a + 10

c = 3a

Substituting the value of b and c into the equation, we have;

a + a + 10 + 3a = 210

5a + 10 = 210

5a = 210 - 10

5a = 200

a = 200/5

a = 40

To find the value of b;

b = a + 10

b = 40 + 10

b = 50

To find c

c = 3a

c = 3*40

c = 120

5 0

3 years ago

Solve 2csc^2x-2cscx-1=0 for 0° ≤ x ≤ 360°

umka21 [38]

Answer:

Step-by-step explanation:

2 csc²x-2 csc x-1=0

$\frac{2}{sin^2x} -\frac{2}{sin x} -1=0\\multiply~by~sin^2x\\2-2sin~x-sin^2x=0\\sin^2x+2sinx-2=0\\sin ~x=\frac{-2 \pm\sqrt{2^2-4*1*(-2)} }{2*1} \\=\frac{-2 \pm\sqrt{4+8} }{2} \\=\frac{-2 \pm\sqrt{4*3} }{2} \\=\frac{-2 \pm2\sqrt{3} }{2} \\=-1\pm\sqrt{3} \\|sin~x| \le ~1\\so~sin~x=-1+\sqrt{3} \\sin~x=\sqrt{3} -1\\x=sin^{-1}(\sqrt{3} -1) \approx 47.06^\circ,180-47.06\\or~x=47.06^\circ,132.94^\circ$

6 0

3 years ago

Determine whether it is a function or not. Give reason for your answer.

tekilochka [14]

Hey there!!

The given set is a function

( x , y ) - this is the form in which we write co-ordinates

In order to be a function , at least x values shall repeat.

Noted down all the x values

2 , -1, 4 , -2

None of the values is repeating.

Hence, the given data is a function

Hope my answer helps!

8 0

3 years ago