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4 years ago

The sum of 2 numbers is 24. One number is equal to four times the second number added by 4. Determine the two numbers.

Mathematics

2 answers:

S_A_V [24]4 years ago

8 0

Answer: smaller number is 4, bigger number is 20

Step-by-step explanation:

24 - 4 = 20

4 * 4 = 16

20 - 16 = 4

kykrilka [37]4 years ago

4 0

Answer:

4 and 20.

Step-by-step explanation:

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HELPPP ITS AN EMERGENCY!!!!!!

attashe74 [19]

Answer:

The equation in point-slope is $\mathbf{y+5=3(x-6)}$

Step-by-step explanation:

We need to write the point-slope form of the equation of the line passing through the point (6,-5) and perpendicular to the line $y=-\frac{1}{3}x+4$

The general form of point-slope is; $y-y_1=m(x-x_1)$

where m is slope and $(x_1,y_1)$ is the point

We need to calculate slope.

We are given equation of line $y=-\frac{1}{3}x+4$ that is perpendicular to the required line.

The equation is given in slope-intercept form $y=mx+b$ where m is slope.

Comparing both equations we get m= -1/3

But we know that when lines are perpendicular their slopes are opposite reciprocal of each other i.e $m=-\frac{1}{m}$

So, slope of required line is m = 3 (opposite reciprocal of -1/3)

Now, the equation in point-slope form having slope m=3 and point (6,-5) is

$y-y_1=m(x-x_1)\\y-(-5)=3(x-6)\\y+5=3(x-6)$

So, The equation in point-slope is $\mathbf{y+5=3(x-6)}$

5 0

3 years ago

The Perimeter of a Pentagon is 20.5 centimeters. Four sides of this pentagon have the same length, in centimeters, x, and the ot

RideAnS [48]

Answer:

$4.6\ \text{cm}$

Step-by-step explanation:

Perimeter of the pentagon = 20.5 cm

Length of 4 sides = $x$

Length of the other side = 2.1 cm

Perimeter of the pentagon will be

$x+x+x+x+2.1=20.5\\\Rightarrow 4x+2.1=20.5\\\Rightarrow 4x=20.5-2.1\\\Rightarrow 4x=18.4\\\Rightarrow x=\dfrac{18.4}{4}\\\Rightarrow x=4.6\ \text{cm}$

The value of $x$ is $4.6\ \text{cm}$ .

3 0

3 years ago

Find the first 5 terms.

IgorLugansk [536]

Answer:

a0= 3, a1=7,a2=11,a3=15,a4=19,a5=23

Step-by-step explanation:

Use the second equation (recursive formula) to solve.

It means that every term increases by 4. Therefore you get your answer.

4 0

3 years ago

A motorboat leaves a harbor and travels at an average speed of 8 mph toward a small island. Two hours later a cabin cruiser leav

Nikitich [7]

Answer:

2 hours.

Step-by-step explanation:

From the question given above, the following data were obtained:

Speed of motorboat (sₘ) = 8 mph

Speed of cabin cruiser (s꜀) = 16 mph

From the question given, we were told that the cabin cruiser started his journey 2 hours later after the motorboat has left.

Let t be the time for the cabin cruiser.

Thus, the time for the motorboat will be (2 + t)

Also, if the cabin cruiser and the motorboat must be along side each other, then their distance must be the same.

With the above information, we can obtain the time taken for the cabin cruiser and the motorboat to be along side each other. This can be obtained as follow:

Speed of motorboat (sₘ) = 8 mph

Time for motorboat (tₘ) = t + 2

Speed of cabin cruiser (s꜀) = 16 mph

Time for cabin cruiser (t꜀) = t

Distance of motorboat = distance of cabin cruiser

Recall:

Distance = speed × time

Therefore,

sₘ × tₘ = s꜀ × t꜀

8 × (t + 2) = 16 × t

Clear bracket

8t + 16 = 16t

Collect like terms

16 = 16t – 8t

16 = 8t

Divide both side by 8

t = 16 / 8

t = 2 hours

Thus, it will take 2 hours for the cabin cruiser and the motorboat to be along side each other.

5 0

3 years ago

Two third of a number minus 5 gives 11 what is the number?

vesna_86 [32]

Answer: n=24

Step-by-step explanation:

n=number

2/3 * n - 5=11

2n/3=16

2n=48

n=24

3 0

2 years ago

Read 2 more answers