Linear Function #3!!!

Answer:

It will occur zero times between midnight and one o'clock.

Step-by-step explanation:

Least Common Multiple (LCM)

Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.

All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.

List the prime factors of each number:

20: 2,2,5

15: 3,5

27: 3,3,3

Now multiply all the factors the maximum number of times they appear:

LCM=2*2*3*3*3*5=540

(a) All the events will happen together again after 540 minutes.

(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.

Answer: D: 5

Step-by-step explanation:

-12 + 8 - (-9)

First you want to do 8 - (-9) which becomes 17

Then add -12 to 17 which equals 5

Answer:

danf that a long quiestion but i think it d

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

absolute value is the distance from zero on a number line

Answer:

2 lol

Step-by-step explanation:

the absolute value of anything negative is always the same thing but positive

unless given a reason to not be

Answer:

[tex]:\implies\tt \dfrac{n + 1}{2} = -\dfrac{3}{4} \\ \\ \\ [/tex]

⚽ Cross multiplying both the sides we get :

[tex]:\implies\tt (n + 1) \times 4= -3 \times 2 \\ \\ \\ [/tex]

[tex]:\implies\tt 4n + 4= -6 \\ \\ \\ [/tex]

[tex]:\implies\tt 4n = -6 - 4 \\ \\ \\ [/tex]

[tex]:\implies\tt 4n = -10 \\ \\ \\ [/tex]

[tex]:\implies\tt n = \dfrac{-10}{4}\\ \\ \\ [/tex]

[tex]:\implies\tt n = \dfrac{-5}{2}\\ \\ \\ [/tex]

[tex]:\implies \ddag \: \gray{ \underline{ \boxed{\tt n = - 2.5}}} \: \ddag\\ \\ \\ [/tex]

Answer:

B the second one -1/3

Step-by-step explanation:

hopefully this helps

Answer:

I think it like this .........

Answer:

(3, 6 )

Step-by-step explanation:

Given the 2 equations

y = 5x - 9 → (1)

y = x + 3 → (2)

Substitute y = 5x - 9 into (2)

5x - 9 = x + 3 ( subtract x from both sides )

4x - 9 = 3 ( add 9 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 3 + 3 = 6

solution is (3, 6 )

Answer:

12 candy bars.

Step-by-step explanation:

Answer:

72 more candy bars

Step-by-step explanation:

Divide 20.88 by 1.74 to see how many times 1.74 can go into 20.88. You get 12. If 6 candy bars in total cost 1.74, you multiply 12 by 6 because you have 12 groups of 1.74. 12 times 6 is 72. So Bobby can buy 72 more candy bars.

Answer:

Here is how i figured it out

Step-by-step explanation:

Brainliest pls ?

Answer:

a = 9

Step-by-step explanation:

a - 2 = 7

a = 9

Answer:

Step-by-step explanation:

20% written as a decimal is 0.2

answer:

Step-by-step explanation:

b. 0.2

came here for points

Answer:

15 metters

Step-by-step explanation:

hope this helps you.

Answer:

The value of x is 3

Step-by-step explanation:

If they area similar, then the ratio of the sides are equal

Mathematically;

x+ 1/3x + 1 = 8/20

20(x + 1) = 8(3x + 1)

20x + 20 = 24x + 8

24x-20x = 20-8

4x = 12

x = 12/4

x = 3

Answer:

8.97

Step-by-step explanation:

Answer:

5,191.48936

Step-by-step explanation:

Given:

976 / 0.188

Find:

Value

Computation:

⇒ 976 / 0.188

⇒ 976000 / 188

5,191.48936

Answer:

(-2,-2)

Step-by-step explanation:

use midpoint formula:  (average of two x-values, average of two y-values)

(-7 + 3)/2 = -4/2 = -2

(1 + -5)/2 = -4/2 = -2

Answer:

[tex]let \: m \: be \: the \: mid \: point \\ m = (( \frac{( {x}^{1} + {x}^{o})}{2}) \: \: \: ( \frac{ ({y}^{1} + {y}^{o}) }{2} )) \\ m = (( \frac{( - 7 + 3)}{2} ) \: \: \: ( \frac{(1 + - 5)}{2} ) \\ m = ( \frac{ - 4}{2} \: \: \: \frac{ - 4}{2} ) \\ m = ( - 2 \: \: \: - 2) \\ mid \: point \: = \: \binom{ - 2}{ - 2} [/tex]

Answer:

2.47 feet

Step-by-step explanation:

Let l, b, and h be the length, width, and height of the box.

As the length is twice the width, so l=2b ...(i)

The volume of the box is 20 cubic feet, so

lbh=20

(2b)bh=20  [by using (i)]

[tex]h=\frac {20}{2b^2} \\\\h= \frac {10}{b^2} ...(ii)[/tex]

The material required= surface area, S, of the open box

S= lb+2bh+2lh

By using equation (i) and (ii), we have

[tex]S= 2b(b)+2b\times \frac {10}{b^2} +2(2b)\times \frac {10}{b^2}[/tex]

[tex]S= 2b^2+ \frac {20}{b} + \frac {40}{b} \\\\S= 2b^2+ \frac {60}{b} \cdots(i)[/tex]

Now, we have the surface area, S, as the function of width, b.

Differentiate S with respect to b then equate it to zero to get the extremum values, as

[tex]\frac {dS}{db}=0 \\\\\frac {d}{db}(2b^2 +60/b)=0 \\\\4b-\frac{-60}{b^2}=0 \\\\4b=\frac{60}{b^2} \\\\b^3=\frac{60}{4} \\\\b=(15)^{1/3}[/tex]

b=2.47 feet.

Now, by second differentiation, checking the nature of extremum value.

[tex]\frac {d^2S}{db^2}=4+\frac {120}{b^3}[/tex]

For [tex]b>0, \frac {d^2S}{db^2} >0[/tex]

So, the width of the box,  b=2.47,  is the minima for the area, S(b).

Hence, the width of the box that can be produced using the minimum amount of material is 2.47 feet.

Answer: x= 15

Step-by-step explanation: So to prove these two lines A and B are congruent the angles must line up which mean rules of complimentary, Supplementary and alternating angles apply. For angles 2 and 4 due to our alternating angles rule they add up to equal 180 so in math

2x+10+4x+80 = 180  or  6x+90=180  where x = 15

Answer:

True, True, False.

Step-by-step explanation:

A) Rise/Run is 8/1

B) 8 dollars are earned every hour

C) Correct equation is y=8x

Given:

The table of values of an exponential function.

To find:

The factor by which the output value increase as each input value increases by 1​.

Solution:

The general exponential growth function is

[tex]f(x)=ab^x[/tex]          ...(i)

where, a is initial value and b is growth factor.

From the given table it is clear that the function passes through (0,3). So, put x=0 and f(x)=3 in (i).

[tex]3=ab^0[/tex]

[tex]3=a(1)[/tex]

[tex]3=a[/tex]

From the given table it is clear that the function passes through (2,12). So, put a=3, x=2 and f(x)=12 in (i).

[tex]12=3b^2[/tex]

Divide both sides by 3.

[tex]4=b^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{4}=b[/tex]

[tex]\pm 2=b[/tex]

Growth factor cannot be negative. So, b=2.

Therefore, the output value increase by factor 2 as each input value increases by 1​.

Answer:

3cm²

Step-by-step explanation:

1/2 x 2 x 3 = 3

Answer:

I would say for almonds next to the number 2 put $21.98 and for dried apricots next to $26.25 put 3 pounds and then see which one is more expensive.

Step-by-step explanation:

Apricots is less expensive than Almonds.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

2 pounds almonds cost = 21.98

So, cost of 1 pounds cost = 21.98/2= 10.99

and, 3 pounds apricots cost= 26.25

So, cost of 1 pounds cost = 26.25/3  = 8.75

Hence, Apricots is less expensive than Almonds.

The complete Table is

Almonds                                                         Dried Apricots

Cost             Weight                                     Cost             Weight

21.98              2                                               26.25            3

10.99               1                                               8.75                1

Learn more about unitary method here:

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Answer:

a

Step-by-step explanation:

simplify 5(x+3) = 5x+15

Factor 5 out of 5x+15.

A. 5 (x + 3)

Answer:

At noon, the temperature would be 6 °F

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

We are trying to find the new temperature. We can disregard time since we are not asking for the time elapsed but for the change in temperature.

Our starting temperature is -17 °F and rose by 23 °F:

-17 °F + 23 °F = 6 °F

Answer: 56.44 km/h

Step-by-step explanation:

Speed = Distance / Time

Time = 1950 - 1520 = 4 hours 30 minutes = 4.5 hours

Speed = 254/4.5

= 56.44 km/h

Answer:

-2.5, -8/4, -0.20, 0, 3/12

Step-by-step explanation:

Answer:

Electrons

Step-by-step explanation:

Protons have a positive charge. Electrons have a negative charge. Neutrons have no charge. When there is an equal number of protons and electrons in an atom, the charges cancel out and the atom is neutral.

Answer:

y = [tex]\frac{3}{2}[/tex]x + 2

Slope: [tex]\frac{3}{2}[/tex]

Y-Intercept: 2

Step-by-step explanation:

2y - 3x = 4

2y = 3x + 4

y = [tex]\frac{3}{2}[/tex]x + 2

Slope: [tex]\frac{3}{2}[/tex]

Y-Intercept: 2

Answer:

It is 1/45

Step-by-step explanation:

The probability of drawing two yellow marbles=4/45.

It is given that Total number of marbles=10 ,number of yellow marble is 2, number of pink marble is 3 and number of blue marble is 5.

To find the probability of drawing two yellow marbles if the first one is not placed back into the bag before the second draw.

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

The probability of drawing first yellow marble=2/10=1/5

When first yellow marble is not placed back into the bag before the second draw.

Then, number of remaining  yellow marble=1

Total number of marbles=9

The probability of drawing second yellow marble =4/9

Now, the probability of drawing two yellow marbles =1/5*4/9=4/45

Hence, the probability of drawing two yellow marbles=4/45

Learn more about probability here:

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