The sum of three numbers is 124. The second is 10 less than the first. The third number is 4 times the second. What are the numbers?

Answer:

8 x 5 x 15 = 600in^3

Answer:

[tex](x+2)^2 + (y-1)^2 = 25[/tex]

Step-by-step explanation:

We want to write the equation of a circle with a diameter of 10 units centered on (-2, 1).

Recall that the equation of a circle has the standard form:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Where (h, k) is the center and r is the radius.

Since our diameter is 10, our radius is 5.

And since the center is at (-2, 1), h = -2 and k = 1.

Substitute:

[tex]\displaystyle (x - (-2))^2 + (y - (1))^2 = (5)^2[/tex]

And simplify. Hence, our equation is:

[tex](x+2)^2 + (y-1)^2 = 25[/tex]

Answer:

x= -6 —> y= 4

x= -11 —> y= 5

Step-by-step explanation:

x= -6 —> y= 4

[tex]f( - 6) = \sqrt{ - ( - 6) - 2} + 2 \\ = \sqrt{6 - 2} + 2 \\ = \sqrt{4} + 2 \\ = 2 + 2 \\ = 4[/tex]

x= -11 —> y= 5

[tex]f( - 11) = \sqrt{ - ( - 11) - 2} + 2 \\ = \sqrt{11 - 2} + 2 \\ = \sqrt{9} + 2 \\ = 3 + 2 \\ = 5[/tex]

I hope I helped you^_^

The value of the function f(x) for the corresponding x = -6 and x =-11 is equal to 4 and 5 respectively.

The function f(x) = √( -x -2) + 2

The value of x and f(x) are ,

x    :   -2   -3    -6    -11

f(x) :   2     3      ?     ?

Now to find the missing value of f(x) substitute the value of x in f(x) we have,

When x = -6

f(x) = √( -x -2) + 2

⇒ f(x) = √( -( -6) -2) + 2

⇒ f(x) = √(6) -2) + 2

⇒ f(x) = √(4) + 2

⇒ f(x) = 2 + 2

⇒ f(x) = 4

And when x = -11

f(x) = √( -x -2) + 2

⇒ f(x) = √( -( -11) -2) + 2

⇒ f(x) = √(11) -2) + 2

⇒ f(x) = √(9) + 2

⇒ f(x) = 3 + 2

⇒ f(x) = 5

Therefore, the missing values of the function are 4 and 5.

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Answer:

AC = 22

Step-by-step explanation:

AB + BC = AC , substitute values

4x - 6 + 4 = 2x + 10 , that is

4x - 2 = 2x + 10 ( subtract 2x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

AC = 2x + 10 = 2(6) + 10 = 12 + 10 = 22

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{4}[/tex] y = 24 ( multiply through by 4 to clear the fractions )

- 2x - 3y = 96 ( add 2x to both sides )

- 3y = 2x + 96 ( divide terms by - 3 )

y = - [tex]\frac{2}{3}[/tex] - 32 ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

Answer:

1/3n - 3<6

n < 27

Step-by-step explanation:

1/3n - 3<6

Add 3 to each side

1/3n -3+3<6+3

1/3 n <9

Multiply by 3

1/3n *3 < 9*3

n < 27

Answer:

[tex]p = 1[/tex]

Step-by-step explanation:

[tex]5p - 8(6p - 5) = p - 4[/tex]

[tex] - 43p - 40 = p - 4[/tex]

[tex] - 43p - p = - 40 - 4[/tex]

[tex] - 44p = - 44[/tex]

[tex]p = 1[/tex]

Answer:

[tex] p =\frac{22}{27} [/tex]

Step-by-step explanation:

5p - 8(6p - 5) = p - 4

-5p - 48p + 40 = p - 4

-53p + 40 = p - 4

-53p - p = -4 - 40

-54p = -44

p = 44 ÷ 54

p = 44/54

simplify with factor 2

p = 22/27

Step-by-step explanation:

let :

the job as lifeguard = A

the job as cashier = B

making 2 equations as follows :

(1) A+B = 14 ==> A = 14-B

(2) 10A + 8B = 124

substitute A (equation (1)) into equation (2) :

10(14-B) + 8B = 124

140 -10B +8B = 124

140- 2B = 124

140-124 = 2B

16 = 2 B

B = 8

A = 14-8 = 6

so, as a lifeguard = 6 working hours

and as a cashier = 8 working hours

Answer:

Step-by-step explanation:

Let the lifeguard hours = x

Let the cashier hours= y

x + y = 14

10*x + 8*y = 124           Multiply the top equation by 8 Put it under here.

8x + 8y =     112           Subtract

2x = 12                          Divide by 2

x = 6

He worked 6 hours as a lifeguard.

x + y = 14

6 + y = 14                      Subtract 6 from each side

y = 14 - 6

y = 8                            

He worked 8 hours as a cashier.

check

6*10 = 60

8 * 8 = 64

total    124

Answer:

0.3

Step-by-step explanation:

If you like to round 0.278 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post

Therefore the answer is 0.3

Hope you got it

If you have any question just ask me

If you think this is the best answer please mark me as BRAINLIEST

Answer:

F = (9/5 ×C) + 32

Step-by-step explanation:

Apply Change of subject

Divide both sides by 5/9

9/5 × C = F - 32

》F = (9/5 ×C) + 32

Answer:

the slope is 5

and the intercept is 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probabilities for each point:

Required probability:

Correct choice is D

Answer:

Proven.

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

HI + IJ = HJ

3x-5 + x-1 = 7x-27

Combine like terms

4x-6 = 7x-27

Subtract 4x from each side

4x-6 -4x= 7x-27-4x

-6 = 3x-27

Add 27 to each side

-6+27 = 3x-27+27

21 = 3x

Divide by 3

21/3 = 3x/3

7 =x

Answer:

x=7

Step-by-step explanation:

Answer:

It depends in which direction "away" means. If they are five units to the right then the answer should be 1. if they are 5 points away to the left then the answer would be -9.

Step-by-step explanation:

Basically it depends,

if its indicating to the right the equation would be=

-4+5=x

which to do this negative cancells out its positive, so you can just subtract their absolute values. 5-4=1. And to know which symbol it has you just indicate which factor has the greated absolute value. (aka 5 which is positive so the answer should be positive).

-----------------------------

if its to the left then the equation would be=

-4-5= x

(negative four subtracted by four)

and the easier way to do this would be to turn this equation into addition.

the new equation shall be: -4+(-5)=-9 since they are both negative integers  the sum should be negative.

Answer:

v=20/3

See IMAGE FOR SOLUTION

In the given expression f = uv /(v+t) value of v in terms of t is *4/3t.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given an expression f = uv /(v+t)

Also given

f = 20

u = 5

Hence, From the expression

f =  uv /(v+t)

=> 20 = 5v/(v + t)

Simplifying in the terms of v

20v + 20t = 5v

15v = -20t

v = -4/3t

Therefore, the value of v in the given expression is -4/3t.

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Answer:

no solution

Step-by-step explanation:

14a – (2a + 9) = (12a - 18)

Distribute the minus sign

14a – 2a - 9 = (12a - 18)

12a -9 = 12a -18

Subtract 12a from each side

12a -9-12a = 12a-18-12a

-9 = -18

This is not a true statement so there is no solution

Answer:

84.04, 30.14 and 55.95

Step-by-step explanation:

First you add the ratios together then divide by 170 and mutliply each answer by the answer of 170 divided by the sum of 3.5, 1.25 and 2.33

Answer:

84.04, 30.14 and 55.95

Step-by-step explanation:

→ Add the ratios together

3.5 + 1.25 + 2.33 = 7.08

→ Divide the answer by 170

170 ÷ 7.08 = 24.01129944

→ Multiply the answer by 3.5 , 1.25 , 2.33

3.5 × 24.01129944 = 84.04

1.25 × 24.01129944 = 30.14

2.33 × 24.01129944 = 55.95

Answer:

x =36

Step-by-step explanation:

The three angles form a straight line which means they add to 180

2x+2x+x = 180

Combine like terms

5x = 180

5x/5 = 180/5

x =36

Answer:

X=36

Step-by-step explanation:

A straight line like the one shown in the image has 180° by one side.

Following that, we should assume that:

2x+2x+x=180°

5x=180°

x=36°

I hope I have helped you.

Answer:

Yes.

Brainliest, please!

Step-by-step explanation:

If we try to divide 932,920 by 4, we get 233,230, which is a whole number.

Answer:

Step-by-step explanation:

Yes!

Done without a calculator. Just look at the last 2 digits. 20 is divisible by 4 so the whole number is. Now you can check it with your calculator.

932920 / 4 = 233230

Answer:

so speed of aircraft carrier is 30. thank you

The speed of an aircraft carrier is 30 km/h.

speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.

Given, An aircraft carrier left Hawaii traveling west seven hours before a container ship. The container ship traveled in the opposite direction going 5 km/h slower than the aircraft carrier.

Since,

Speed = distance/time

time is 13 hours, 7 hours before the container ship left then the 6 hours container traveled.

Let "s" be the speed of the aircraft carrier

=> d = 13s

Container ship:

time is 6 hours

speed is 5 km/h slower, so s-5

=> d = 6(s-5)

Since they are going in opposite directions, add up the distances to find how far apart they are

=> 13s + 6(s-5) = 540

Now solve for s-

=> 13s +6s -30 = 540

=> 19s = 570

=> s = 30

therefore, the Aircraft carrier was traveling at the speed of 30 km/h and the container ship at the speed of 25 km/h.

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Answer:

-53

Step-by-step explanation:

-25-32-14-14+45-13

=53

Answer:

ANS IS -53

AS +45 &-45 WILL GET CANCELLED

AND -14-14-25 WILL GET ADDED

THAT IS -53

Answer:

A=13

hope this helped!!!

Answer:

-13

Step-by-step explanation:

-50=6a+28

collect like terms

-50-28=6a

-78=6a

divide both sides by the coefficient of a

-78/6=6a/6

a=-13

Answer:

after 3 seconds, the object hits the ground.

Hope this helps :)

Answer:

T (6, 5 )

Step-by-step explanation:

Using the section formula

If (x₁, y₁ ) and (x₂, y₂ ) are divided in the ratio m : n , then

( [tex]\frac{nx_{1}+mx_{2} }{m+n}[/tex] , [tex]\frac{ny_{1}+my_{2} }{m+n}[/tex] ) are the coordinates of the internal point

Here (x₁, y₁ ) = A (- 4, 10 ) , (x₂, y₂ ) = B (10, 3) , m : n = 5 : 2

T = ([tex]\frac{2(-4)+5(10)}{5+2}[/tex] , [tex]\frac{2(10)+5(3)}{5+2}[/tex] )

   = [tex]\frac{-8+50}{7}[/tex] , [tex]\frac{20+15}{7}[/tex] )

  = [tex]\frac{42}{7}[/tex] , [tex]\frac{35}{7}[/tex] )

  = (6, 5 )

Answer:

[tex] \sqrt[3]{12} [/tex]

and

[tex] \sqrt[3]{ \frac{1}{18} } [/tex]

because

[tex] \sqrt[3]{12} \times \sqrt[3]{18} = 6 \\ \\ \sqrt[3]{ \frac{1}{18} } \times \sqrt[3]{18 } = 1[/tex]