Mathematics High School

Eq 1 X+Y=16
Eq 2 6x+9y=120

Solve by substitution
Solve step by step

Answers

Answer 1

Answer:

X = 8, Y = 8

Step-by-step explanation:

Step 1) Solve for Y w/ bottom equation to yield - y = -2/3x + 40/3.

Step 2) substitute equation into x + y = 16 to get 1/3x + 40/3 = 16 multiply by 3 to clear the fractions and get x + 40 = 48 - subtract 40 by both sides to get x = 8.

Step 3) Plug x = 8 into the bottom equation to get 48 + 9y = 120, subtract 48 by both sides to get 9y = 72 and then divide by 9. The product is y = 8.

Related Questions

Four times a number, decreased by 2, is 8 more than the product of six and the number.
Find the number.

Answers

Answer:

-5

Step-by-step explanation:

4x -2 = 8 + 6x

-2x = 10

x = -5

If tanx = 0.75, what is the value of cosx + sinx ?

Answers

cosine (x) = 4 over 5
cos
(
x
)
=
4
5
Explanation:
First you must apply sohcahtoa
it means
sine = opposite side over hypotenuse
sine = opposite/hypotenuse
cosine = adjacent side over hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite side over adjacent side
tangent = opposite/adjacent
then
solve the unknown by applying the Right Triangle Theorem.
draw a right triangle.
label the parts where
a
is the opposite side
b
is the adjacent side
c is the hypotenuse
Solve the unknown. The hypotenuse using
a
2
+
b
2
=
c
2

since the given
tan
x
=
3
4

it means
tan = opposite/adjacent
a
= opposite side =
3

b
= adjacent side =
4

c
= hypotenuse = ??
a
2
+
b
2
=
c
2

substitute the value
(
3
)
2
+
(
4
)
2
=
c
2

9
+
16
=
c
2

25
=
c
2

get the square root of
25

it is equal to
5

therefore
c
=
5

c
= hypotenuse =
5

cos
= adjacent/hypotenuse
cos
(
x
)
=
4
over
5

cos
(
x
)
=
4
5

Answer:

theta is eq to 36.86 value is. 0.5998+0.8=1.399

PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT

Answers

Answer:

sin =5/3

tan = sin/cos= 3/5/5/3=1

Step-by-step explanation:

you haven't game me much to work with but sin= opp/adj and cos= adj/opp so there you go

Someone please help

Answers

i would guess the answer is 1 since that’s where b is on the other side

please help me with this

Answers

Answer: 3Z

Step-by-step explanation:

What do the following two equations represent?
9-3 = 2(x – 3)
y+5 2(+ 1)
Choose 1 answer:
The same line
ons
Distinct parallel lines
Perpendicular lines
Intersecting, but not perpendicular lines
HELP

Answers

Answer:

Intersecting but not perpendicular

Step-by-step explanation:

Assuming you forgot to add the = between y+5 and 2(1)

Since there is a opposite single variable in either equation the lines will intersect but not be perpendicular

evaluate the expression 16.78-12.237​

Answers

Answer: The answer to the expression is 4.543.

Answer : 4.543

Step-by-step explanation :

First step, subtract . . . what is 16.78 minus 12.237​ ? 4.543

BRAINLIEST 87x89 PLEASE

Answers

Answer:

7743 caught you again lolllll

=7743

Hope you find this helpful!
Brainliest and a like is much appreciated!

a lakeis 200ft wide. two boats start to move towards one another from opposite shores.In one minute ,the first boat goes 40 ft and the second one goes 30 ft they are very slow! what would be the distance between the boats after 1 minute

Answers

The distance between the boats after 1 minute would be 130 ft.

Given that a lake is 200ft wide, and two boats start to move towards one another from opposite shores, and in one minute, the first boat goes 40 ft and the second one goes 30 ft, to determine what would be the distance between the boats after 1 minute the following calculation must be performed:

Total width - boat distance 1 - boat distance 2 = Distance after 1 minute 200 - 40 - 30 = X 130 = X

Therefore, the distance between the boats after 1 minute would be 130 ft.

Learn more about maths in https://brainly.com/question/25808345

(-x + 3) + (4x - 10)

Answers

the correct answer is 3x-7
this is so simple, 3x-7

PLEASE HELP!!! Can someone help me figure this out

Answers

Answer:

Step-by-step explanation:

x^2 = 5x + 24                                Transfer (subtract) 5x + 24 to the left.

x^2 - 5x - 24 = 5x-5x+24  -24

x^2 - 5x - 24 = 0                            This does factor. -8 and 3  are your factors.

(x - 8)*(x + 3) = 0

So if x - 8 = 0

then x - 8 + 8 = 0 + 8

x = 8

If x + 3 = 0

then x = - 3

Are these both correct?

x^2 = 5x + 24

x = 8

8^2 = 5*8 + 24

64 = 40 + 24

64 = 64

and x - 8 is a factor

x^2 = 5x + 24

x = - 3

(-3)^2 = 5 * -3 + 24

9 = -15 + 24

9 = 9

And x + 3 is a correct factor

Marcy's breakfast table has a square top
with an area of 36 square feet. What is the
diagonal length of the tabletop?

Answers

Answer: 6

As your figure is a square all sides must be the same so it would be 6 squared which comes out to 36

Answer:

scroll

Step-by-step explanation:

√36 = 6

a^2 + b^2 = c^2

6^2 + 6^2 = c^2  

36 + 36 = c^2

72 = c^2  

√72 = c    

6√2 = c  

6√2 = V

(Estimate rounded = 8.49)

Please help I need help by the end of today

Answers

Answer:

  A.  x = 7, y = 3

Step-by-step explanation:

The triangles are congruent by HL if the hypotenuses are congruent, and if the marked legs are congruent.

  3x -1 = 6y +2 . . . . hypotenuses are congruent

  2x = 5y -1 . . . . . . .legs are congruent

Subtracting 2 times the first equation from 3 times the second gives ...

  3(2x) -2(3x -1) = 3(5y -1) -2(6y +2)

  6x -6x +2 = 15y -3 -12y -4

  9 = 3y . . . . . . . . . . . add 7 and simplify

  y = 3 . . . . . . . . divide by 3

This value of y matches only answer choice A.

solve (2x + 5)= (2x + 3)(2x - 1)

Answers

[tex](2x + 5)= (2x + 3)(2x - 1)\\<=>2x+5=4x^2-2x+6x-3\\<=>4x^2-2x+6x-3-2x-5=0\\<=>4x^2+2x-8=0\\<=>(4x+1-\sqrt{33})( 4x+1+\sqrt{33})=0 \\<=> x=\frac{-1+\sqrt{33} }{4} /or/x=\frac{-1-\sqrt{33} }{4}[/tex]

Answer:

x = -1± sqrt( 33)

    ----------------------------

             4

Step-by-step explanation:

(2x + 5)= (2x + 3)(2x - 1)

Distribute

2x+5 = 4x^2 +6x-2x-3

Combine like terms

2x+5 = 4x^2 +4x -3

Subtract 2x +5 from each side

0 = 4x^2 +4x-3-2x-5

Combine like terms

0 =4x^2 +2x -8

Using the quadratic formula

a=4  b=2  c=-8

x = -b± sqrt( b^2-4ac)

    ----------------------------

             2a

x = -2± sqrt( 2^2-4(4)(-8))

    ----------------------------

             2(4)

x = -2± sqrt( 4+128)

    ----------------------------

             8

x = -2± sqrt( 132)

    ----------------------------

             8

x = -2± 2sqrt( 33)

    ----------------------------

             8

x = -1± sqrt( 33)

    ----------------------------

             4

What is the quotient of 8.44 and 0.04?
10 pts

Answers

8.44/0.04=211

hope this helps!

Answer:

211

Step-by-step explanation:

8.44 divided by 0.04 = 211

Which expression has a sum of 1 2/21

A. 3/7 + 2/3
B. 4/7 + 1/3
C. 5/7 + 2/3
D. 6/7 + 1/3

Answers

Answer:

A. is the answer

Step-by-step explanation:

the LCM of 7 and 3 is 21.

When added it would be 9+14 =23

23/21= 1 2/21

what is the value of x? 48°(3x + 6)

Answers

Answer:

No clue

Step-by-step explanation:

Here is a free 100 points annnnd brainliest

This question is about strategy
Skill
Precision


Alr here it is:
Problem one: Molly bought and infinite amount of bottles of dish soap. She had an infinite amount of money. When she bought the dish soap, she lost all of it.

How is this possible?

Problem one (part two): Molly then called her friend Blitzo over. Blitzo then gave Molly and infinite amount of money without losing all of his money.

How is this possible

If you have questions or want hints, ask in comments below this question

Answers

1. She bought the infinite dish soap with her money

2. you can't lose anything infinite

3. remeber our deal? brainliest pls.

The nth term of the sequence 27,37,47

Answers

Answer: The 9th term of the sequence 27,37,47 is 107.

10 A seal pup gains 28% of its birth weight each
day for the first 10 days of its life.
A one-day-old pup weighs 17.92 kg.
How much did it weigh at birth?

Answers

Answer:

WEIGHT

550 to 880 pounds

LIFESPAN

25 to 35 years

LENGTH

7.5 to 10 feet

THREATS

Entanglement, harassment, chemical contaminants, oil spills and energy exploration, vessel and vehicle interactions

REGION

New England/Mid-Atlantic

Step-by-step explanation:

Step-by-step explanation:

Hmm so a pup gains 28% weight every day for the next 10 days.. But a day old puppy weight 17.92kg sooo

28%+10every day=10.28

17.92-28%=12.9

17.92x10=179.2

Hmmmm

Well a seal pup weights 8-12kg on birth so ye I was right anweser is 12

how do you think I'm NOW

Answers

Answer:

u are u and u and u and u and u

Find the factors of f(x) given that x = 5 is a zero.
f(x) = x3 − 6x2 − x + 30.

(x − 5)(x + 3)(x − 2)
(x − 5)(x − 3)(x + 2)
(x + 5)(x − 3)(x + 2)
(x + 5)(x + 3)(x − 2)

Answers

If x = 5 is a zero of the given polynomial, then,(x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]Now, divide the polynomial with (x - 5) using long division method. (See the picture)We get (x^2 - x - 6) as the quotient.Now, factorise the above polynomial:(x^2 - x - 6) = (x^2 - 3x + 2x - 6) = x(x - 3) + 2(x - 3)= (x - 3)(x + 2)Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)

Answer:

B.(x − 5)(x − 3)(x + 2)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Help me plz plz plz plz plz plz plz plz plz plz plz

Answers

It’s a ok sir so please put the answer

What is this expression in simplest form?

Answers

Answer:

A. 1÷(X+1) (x-2)

some steps are directly

tag me in brainlist if you like it

HELP ME OUT REAL QUICK!

Answers

Answer:

Step-by-step explanation:

ab abahha

GIVING BRAINLIEST. please help.


Answers

OK ILL HELP

Its the first option

A motor-boat takes the same time to travel 80 miles downstream as it takes to travel 60 miles upstream. If the speed of the stream is 5 miles/hr, find the speed of the motor-boat in still water.

Answers

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let a represent the speed of the motor boat in still water and t represent the time. Hence for downstream:

a + 5 = 80/t

t = 80/(a + 5)

For upstream:

a - 5 = 60/t

a - 5 = 60 / (80/(a + 5))

a - 5 = 0.75a + 3.75

0.25a = 8.75

a = 35 miles per hour

The speed of the motor-boat in still water is 35 miles per hour.

Find out more on speed at: https://brainly.com/question/751218

does anyone have an answer to this question?

Answers

Answer:

8.9 cm to 1 dec. place.

Step-by-step explanation:

First, use Pythagoras to find the length of BD.

BD^2 = 6^2 + 7^2 = 85

BD = √85.

BM = √85 / 2.

Consider the triangle TBM, by Pythagoras:

TB^2 = BM^2 + MT^2

MT^2 = 10^2 - (√85 / 2  )^2

= 100 - 21.25

= 78.75.

MT = 8.874

the two triangles below are similar.

Answers

Answer:

Step-by-step explanation:

yes they are just a rotated triangle

-2a
0b
-2
× -5b
4
× -b

Answers

Answer:

Step-by-step explanation:

Army DA administrative publications and forms by the Army Publishing Directorate APD. The latest technologies high quality electronic pubs and forms view ...

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