5
.
John, Peter and Mary shared a sum of
money in the ratio 2:4:9. John and Peter
together received $360. How much money
in all was shared?
(A) $480
(B) $540
(C) $600
(D) $900​

Steps:

Step 1: Simplify both sides of the equation.

1 /5x+1=7

Step 2: Subtract 1 from both sides.

1/5x+1−1=7−1

1/5x=6

Step 3: Multiply both sides by 5.

5*(1/5x)=(5)*(6)

Description:

Since we are solving for x first steps is to Simplify both sides of the equation. Then subtract 1 from both sides. After that multiply both sides by 5 and you will get your answer. The correct answer for this question is x=30.

Answer: x=30

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Hope this helps.

The value of x from the given equation is 30.

The given equation is x/5 +1=7.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, x/5 +1=7

Transpose 1 to other side of the equation, we get

x/5 =7-1

x/5 = 6

Transpose 5 to other side of the equation, we get

x = 6×5

x = 30

Therefore, the value of x from the given equation is 30.

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Answer:

1. b

2. -16

Step-by-step explanation:

1. -1+2 is equal to 1 so it works

You plug in each of the coordinates x and y variables on the graph and find one that satisfies the equation.

2. -(-4)(-5) is -20

-(-4) is = 4

-20+4 is -16

Answer:

3

Step-by-step explanation:

because the TV is the wrong answer and

Answer:

3 x 5

Step-by-step explanation:

The dimension of a matrix is normally represented in form of:

number of rows x number of columns

In the given matrix, there are 3 rows and 5 columns.

=> The dimension of this matrix is 3 x 5

=> Option D is correct

Hope this helps!

Answer: $ 1361.04

Step-by-step explanation:

Discount will be 1060 * 20% = 212

Sales price 1060 + 212 = 1272

Tax 7% = 89.04

Kelly paid 1272 + 89.04 = 1361.04

Answer:

Remember, if we have two points (x1, y1) and (x2, y2) we can draw a segment that connects those two points, and we can define the midpoint of those two endpoints as:

( (x1 + x2)/2. ((y1 + y2)/2)

if we are only in the x-axis, then y = 0.

in this situation one of the endpoints seems to be at the origin, and the other is a given value (X´. 0)

Then, the midpoint is:

( (Xp + 0)/2, 0) = (X´/2, 0)

Then, the relationship is:

"the value at the midpoint is half ot the value at the endpoint that is not at the origin"

Answer:

9x^3

Step-by-step explanation:

5x^3 + 4x^3

Since these are like terms

x^3 (5+4)

9x^3

Answer:

[tex]9x^3[/tex]

Step-by-step explanation:

[tex]5x^3 + 4x^3[/tex]

Add the like terms.

[tex]=9x^3[/tex]

Answer:

y=8x+12

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Angles 3 and 5 are alternate interior angles because they are inside the lines and are on opposite sides of the transversal.

This means they are equal to one another, so 2 is correct because they are alternate interior and angle 5 will be 140 degrees.

To find : Probability that person doesn't use any facility

Given : Total people = 130 ; People using gym (G), Swimming Pool (S), Track (T) = 73, 62, 58 respectively. People using G & P, P & T, G & T = 22, 29, 25. People using P & G & T = 11

So : Prob (G) = 73/ 130 , Prob (S) = 62/130 , Prob (T) = 58/130

P (G ∩ P) = 22 / 130 , P (P ∩ T) = 29 / 130 , P (G ∩ T) = 25 / 130 , P (P ∩ G ∩ T) = 11 / 130

Prob [ Person uses either P or G or T ] :

P (PUGUT) = P(G) + P (S) + P (T) - P (G ∩ P) - P (P ∩ T) - P (G ∩ T) - 2 P (P∩G∩T) = ( 73 + 62 + 58 - 22 - 29 - 25 - 22) / 130 = 95 / 130

Prob [Person uses neither P or G or T] : 1 - Pr [Person uses either  P or G or T] = 1 - P (PUGUT) = 1 - (95 / 130) = 35 / 130

Hence, Probability that person doesn't use any facility = 35 / 130

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Answer:flying gorillla

Step-by-step explanation:because no

Answer:

Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'.

Answer:

-23.18, -0.82

Step-by-step explanation:

Answer:

-23.18, -.82

Step-by-step explanation:

h^2 + 24h + 19 = 0

Subtract 19 from each side

h^2 +24h = -19

Take the coefficient of h

24

Divide by 2

24/2 =12

Square it

12^2 =144

Add this to both sides

h^2 +24h+144 = -19+144

(h+12)^2 =125

Take the square root of each side

sqrt((h+12)^2) =±sqrt(125)

h+12 = ±sqrt(125)

Subtract 12 from each side

h+12-12 = -12 ±sqrt(125)

h =-12 ±sqrt(125)

h = -12 - sqrt(125) = -23.18033989

h = -12 + sqrt(125) = -.819660113

To the nearest hundredth

-23.18, -.82

Answer:

a

Step-by-step explanation:

Identifying a proportion Which proportion resulted in the equation 3a = 7b

Answer:

B

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

Yes...yes it is.

Step-by-step explanation:

Another way to help you see it is as adding 11 + 11, because the equation is stating that there are two 11's.

Answer:   25 < P < 36

              15/4 < w < 26/4

              35/4 < L < 46/4

Step-by-step explanation:

Perimeter is BETWEEN 25 and 36

           25 <    P    < 36

Graph:  O--------------O

            25              36

Perimeter = 2L + 2w  ; substitute L = w + 5        

             25 < 2(w + 5) + 2w < 36

             25 < 2w + 10  + 2w < 36

              25 <  4w + 10          < 36

               15 <           4w         < 26

               [tex]\dfrac{15}{4}[/tex] <             w         < [tex]\dfrac{26}{4}[/tex]

              [tex]3\dfrac{3}{4}[/tex]  <              w        <  [tex]6\dfrac{1}{2}[/tex]

Graph:     O------------------------O

              [tex]3\dfrac{3}{4}[/tex]                             [tex]6\dfrac{1}{2}[/tex]

Perimeter = 2L + 2w  ; L = w + 5   --> w = L - 5      

             25 < 2L + 2(L - 5)  < 36

             25 < 2L + 2L  - 10 < 36

              25 <  4L - 10        < 36

              35 <           4L      < 46

              [tex]\dfrac{35}{4}[/tex] <             L       < [tex]\dfrac{46}{4}[/tex]

              [tex]8\dfrac{3}{4}[/tex]  <            L      <  [tex]11\dfrac{1}{2}[/tex]

Graph:     O------------------------O

               [tex]8\dfrac{3}{4}[/tex]                          [tex]11\dfrac{1}{2}[/tex]

Note: Make sure you use OPEN dots when graphing.

Answer: False, language is a more specific word.

Step-by-step explanation:

Language is a complex and structured system of communication.

This word particularly refers to the "artificial codes or ciphers" that humans use to communicate.

The thing in the sentence is more general than language, this refers to communication:

"Communication is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading."

So the actual sentence is false.

Answer:

2,7204x 10^9

Step-by-step explanati

2870000000-

149600000

Answer:

Triangle

Step-by-step explanation:

Answer:

perpendicular

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

24.49 units

Step-by-step explanation:

The circumference of the circle is 153.86 units.

The circumference of a circle is given as:

C = 2 * pi * r

where r = radius of the circle

Therefore:

r = C / (2 * pi)

=> r = 153.86 / (2* pi) = 24.49 units

The radius of the circle is 24.49 units.

Answer:

24.49

Step-by-step explanation:

please trust me and make me brainliest :0

Answer:

∠ R ≈ 36.9°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos R = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RT}{RS}[/tex] = [tex]\frac{8}{10}[/tex] , thus

∠ R = [tex]cos^{-1}[/tex] ([tex]\frac{8}{10}[/tex] ) ≈ 36.9° ( to 1 dec. place )

Answer:

[tex]b^6[/tex]

Step-by-step explanation:

a^4+-4 * b^2+4

a^0*b^6

Answer: (x - 1)(x + 1)(x + 7)²

Step-by-step explanation:

x⁴ + 6x² - 7

find two numbers whose product is -7 and sum is +6    -->    -1 & 7

Those values go into the parenthesis: (x² - 1)(x + 7)²

Notice that (x² - 1) is the difference of squares  -->  (x - 1)(x + 1)

Answer:

The 1st Picture

Step-by-step explanation:

An exponential function is a base with an exponent of x. The parent graph f(x) will always have an asymptote at x= 0 and curve steeply.

Answer:

A

Step-by-step explanation:

took it a minute ago on edg

The study with an error range of +-6 percentage points would be the most reliable.

As larger error ranges, such as options B, C, and D, indicate a greater degree of uncertainty and variability in the dat This reduces the reliability and precision of the study's findings.

So, when all other factors are equal, a study with a smaller error range, like with +-6 percentage points, would be considered more reliable.

Thus, with an error range of +-6 percentage points, has the smallest range.

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Answer:

l4x-2l= -6  equation has no solution

Step-by-step explanation:

l4x-2l≥0

l4x-2l= -6  equation has no solution

Answer:

700/1=700

Th ratio is 700 times more so we multiply by 700

700 x 0.72 = 504

504 pounds

Hope this helps

Step-by-step explanation:

She will get 504 pounds by multiplying 700×0.72= 504.

Official currency substitution helps to promote fiscal and monetary discipline and thus greater macroeconomic stability and lower inflation rates, to lower real exchange rate volatility, and possibly to deepen the financial system.

Many banks offer currency exchange to their customers. Though there may be a small fee, your bank or credit union will almost always be the best place to exchange currency (and the cheapest).

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Answer:

The maximum number of ride tickets is 4

Step-by-step explanation:

r = number of ride tickets

f = number of food tickets

r + f ≥ 16

4r + 2f ≤ 40

Using these as equations

f = 16  -r

Using this in the second equation

4r+ 2 (16 -r) = 40

4r +32 -2r = 40

2r +32 = 40

2r = 8

r = 4

The maximum number of ride tickets is 4

Answer:

a)  4

Step-by-step explanation:

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