the ages of John and Mary total 27 years. Mary's age plus twice john's age is 40. how old is each person?

Answers

Answer 1

Answer: so
Jon's age=j
mary age=m

m+j=27
m+2 times j=40
m+2j=40
M+j=27
ssubtract j from both sides
m=27-j
subsitute 27-j for m
27-j+2j=40
27+j=40
subtract 27 fromboth sdies
j=13

subsitue
13+m=27
subtract 13
m=14

mary=14
john=13

Answer 2

Answer: $J+M=27$
$2J+M=40$

$J=27-M$

$2(27-M)+M=40$
$54-2M+M=40$
$54-M=40$
$-M=-14$
$M=14$

$2J+14=40$
$2J=26$
$J=13$

John is 13 years old
Mary is 14 years old

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Answers

The answer is nine over eleven (9/11).

There are in total 22 marbles:
4 blue + 5 yellow + 6 red + 2 green + 5 purple = 22 marbles
/
If there are 4 blue marbles, there are 18 marbles that are not blue:
22 marbles - 4 blue marbles = 18 non-blue marbles

The probability of randomly selecting a marble that is not blue is 18 out of 22:
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PLEASE HELP ME NO ONE IS * i'll give brainliet*Solve the system of equation. Write the solution as a coordinate point.

Answers

Answer:

(0,2)

Step-by-step explanation:

Since x is by itself plug that in for the second equations x

X+8y =16

2y-4+8y=16 solve for y

10y-4=16

10y=20

Y=2

Plug 2 for y into the first equation

X= 2y-4

X=2*2-4

X=4-4

X=0

Those are your points, (0, 2)

Given the triangle below, which of the following equations correctly representsthe relationship between a, b, and c?Triangle not drawn to scale A cz B az 2abcos (90.)b a2 c2 2abcos (90.)

Answers

The equation that correctly represents the relationship between a, b, and c in the triangle is c² = a² + b² - 2ab * cos(90)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:

c² = a² + b² - 2ab*cosC

Where a, b and c are the sides, while C is the angle opposite to side c.

In the triangle ABC, C = 90°, hence:

c² = a² + b² - 2ab * cos(90)

The equation that correctly represents the relationship between a, b, and c in the triangle is c² = a² + b² - 2ab * cos(90)

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A teacher wrote the equation 3y + 12 = 6x on the board. For what value of b would the additional equation 2y = 4x + b form a system of linear equations with infinitely many solutions?b = –8
b = –4
b = 2
b = 6

Answers

Answer: First option.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept

We need to write each equation in Slope-Intercept form:

First equation

$3y + 12 = 6x\n\n3y=6x-12\n\ny=2x-4$

Second equation

$2y = 4x + b \n\ny=2x+(b)/(2)$

Since, by definition, a system of linear equations has infinitely many solutions when the lines are the same, we can say that:

$y=y\n\n2x-4=2x+(b)/(2)$

Then, solving for "b", we get:

$-4=(b)/(2)\n\n(-4)(2)=b\n\nb=-8$

Answer:

-8

Step-by-step explanation:

Just took test lol

Select two polynomials that have a sum of 16n^3+13n^2+7n-10 A. 8n^3 - 5n +11n^2 - 5 B. 7n^2 + 8n - n^3 + 2 C. 15n^2 - 10n + 3n^3 - 4 D. 2n^2 + 12n - 5 + 8n^3

Answers

Option A and Option D are correct, $8n^3 - 5n +11n^2 - 5$ and $2n^2 + 12n - 5 + 8n^3$ are added to form the polynomial $16n^3 + 13n^2 + 7n - 10.$

To find two polynomials that have a sum of $16n^3 + 13n^2 + 7n - 10.$

Add the coefficients of the corresponding terms in each polynomial and see if they match the coefficients of the given polynomial.

In the given options, let us consider two polynomials:

$8n^3 - 5n +11n^2 - 5$ and $2n^2 + 12n - 5 + 8n^3$

Add these two polynomials:

$8n^3 - 5n +11n^2 - 5 + 2n^2 + 12n - 5 + 8n^3$

Group the like terms:

$8n^3+8n^3+11n^2+2n^2-5n+12n-5-5$

Combine like terms:

$16n^3 + 13n^2 + 7n - 10.$

Hence, the two polynomials that have a sum of $16n^3 + 13n^2 + 7n - 10$ are $8n^3 - 5n +11n^2 - 5$ and $2n^2 + 12n - 5 + 8n^3$ . Option A and D are correct.

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An increase of 2 cm in length

Answers

Answer:

it equals 2cm increase in length

Step-by-step explanation:

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