Solve using the substitution method. 3x +2y= 19 xy= 15​

Answers

Answer 1

Answer:

when x = 3 1/3, y = 4.5

or

when x =3 , y = 5

Step-by-step explanation:

Here, we want to solve using substitution

xy = 15

let x = 15/y

Put this into the first equation;

3(15/y) + 2y = 19

45/y + 2y = 19

Multiply through by y

45 + 2y^2 = 19y

2y^2 -19y + 45 = 0

2y^2 - 10y - 9y + 45 = 0

2y(y-5) -9(y-5) = 0

(2y-9)(y-5) = 0

2y-9 = 0

or y-5 = 0

2y = 9 or y = 5

y = 9/2 or y = 5

y = 4.5 or y = 5

Recall;

x = 15/y

x = 15/4.5 or x = 15/5

x = 3 1/3 or x = 3


Related Questions

Please help I'm really bad at math. I will mark you brainliest if you get the answer right.

Answers

Answer:

A & D

Step-by-step explanation:

A. 9(3x-1) = 27x-9 ✔

B. 27x-1(9) = 243x-9 ❌

C. 27(x-9) = 27x-243 ❌

D. 3x-1(9) = 27x-9 ✔

E. 9(27x-1) = 243x-9 ❌

F. x-9(27) = 27x-243 ❌

find the volume and the total surface area of a cuboide whose dimension 2m, 80cm and 60cm​

Answers

Answer:

Volume= 0.96m^3

TSA= 6.56m^2

Step-by-step explanation:

Given data

Length = 2m

Width= 80cm= 0.8m

Height= 60cm= 0.6m

Volume= L*W*H

Volume= 2*0.8*0.6

Volume= 0.96m^3

TSA=2lw+2lh+2hw

TSA= 2*2*0.8+2*2*0.6+2*0.6*0.8

TSA=  3.2+ 2.4+ 0.96

TSA= 6.56m^2

Find the area of each. Use your calculator's value of p. Round your answer to the nearest tenth.

answer both question please

i will mark u as brainiest

full answer

label it please.

Answers

Answer:

22/7*11*11=38.285

this must be ans

question is in the pic

Answers

Answer:

I would say A.

Step-by-step explanation:

Both of the bakeries' data does seem symmetric, so use the mean.

Hope it is correct!

Answer:

Prolly A

Step-by-step explanation:

so sorry if I'm wrong hope I'm right

a polygon has n sides. Two of its sides are right angle while the remaining each side is 144.find n​

Answers

Use the formula that states that the sum of the angles of an n-sided polygon is given by
S=(n−2)180
0
........(1)

Since we are given that the two angles are right angles and each of the remaining angles is 144
0
, therefore, the sum is:

S=90
0
+90
0
+(n−2)144
0
.........(2)

Therefore setting (2) equal to (1) we get

(n−2)180
0
=90
0
+90
0
+(n−2)144
0

⇒(n−2)180
0
−(n−2)144
0
=180
0

⇒(n−2)(180
0
−144
0
)=180
0

⇒(n−2)(36
0
)=180
0

⇒n−2=
36
180


⇒n−2=5
⇒n=5+2=7

Hence, the polygon has 7 sides.

Dawn is ordering 1 veggie sandwich for every 3 ham sandwiches. She needs 12 sandwiches in all. Veggie sandwiches cost 4.00 dollars each and ham sandwiches cost 4.50 each. How many will dawn spend on sandwiches?

Answers

Answer:

$52.50

Step-by-step explanation:

Lets use V for Veggie, and H for Ham.

V=4

H=4.50

She is getting 12 sandwiches, and Every 3 H, she buys one V.

So, the order of her buying the sandwiches would be:

H H H V H H H V H H H V

9 H and 3 V

9*H=40.5

3*V=12

40.5+12= $52.50

The total cost of all the sandwiches is given by the equation A = $ 52.50

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of 12 sandwiches be A

Now , the equation will be

For every 1 veggie sandwich 3 ham sandwiches are ordered by Dawn

The cost of veggie sandwich = $ 4.00

The cost of ham sandwich = $ 4.50

So ,

Let the veggie sandwich be = x

Let the ham sandwich be = y

The total number of sandwiches = 12

So , x + 3y = 12

when x = 3 and y = 3

3 + 3 ( 3 ) = 12

3 + 9 = 12

12 = 12

Therefore , the number of veggie sandwich = 3

The number of ham sandwich = 9

And , the cost of 3 veggie sandwich = 3 x 4.00

The cost of 3 veggie sandwich = $ 12

The cost of 9 ham sandwich is = 9 x $ 4.50

The cost of 9 ham sandwich is = $ 40.5

The total cost of 12 sandwich A = cost of 3 veggie sandwich + cost of 9 ham sandwich

Substituting the values in the equation , we get

The total cost of 12 sandwich A = 12 + 40.50

The total cost of 12 sandwich A = $ 52.50

Therefore , the value of A is $ 52.50

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

a population of 100,000 decreases by 6% each year. write a graph to explain that

Answers

Answer:

Step-by-step explanation:

Your graph equation is going to be y = 100,000 - .06x

So basically the graph is easy to explain it is 3.45 by T

Work out the volume of the cone give the answer to 3 significant figures plz help

Answers

Answer:

i think the answer is 1010

Step-by-step explanation:

1/3 × 3.142 × 8^2 × 15

At a strawberry stand Luisa paid $4.50 for 2 pounds of strawberries. How much would you expect to pay for five pounds or strawberry?

Answers

Half of 4.50 is 2.25, so for one pound it would be $2.25.

To calculate five pounds, you need to add 2.25+2.25+2.25+2.25+2.25 = 11.25.

For five pounds of strawberry's, it would cost $11.25.

Hope this helped !

The answer would be 11.25

a collector purchased a rare book for $97.56 and then sold the book in an online auction for $141.82. The auction charged the collector $8.25 in fees for the use of its service. how much did the collector earn by selling the book

Answers

Answer:

$36.01

Step-by-step explanation:

141.82 - 8.25 = 133.57

133.57-97.56=36.01

The collector earned a total of $36.01 by selling the book.

What is the Subtraction operation?

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

The collector earned $141.82 - $97.56 = $44.26 by selling the book.

To find the total amount the collector earned, we need to subtract the price they paid for the book from the price they sold it for. This gives us the profit that the collector made on the sale of the book.

However, we also need to subtract the auction fees that the collector had to pay.

The collector paid $8.25 in fees, so their total earnings from the sale of the book were :

⇒ $44.26 - $8.25

Apply the subtraction operation, and we get

⇒ $36.01.

Therefore, the collector made a total of $36.01.

Learn more about Subtraction operations here:

brainly.com/question/25834626

#SPJ1

4x + 5 + 3x – 12 =


A.9x-9

B.7x+7

C.7x-7


Answers

Answer:

7x - 7

Step-by-step explanation:

In this equation you are going to add like terms.

The like terms you have are the terms with x and then the terms without the x.

So 4x + 3x = 7x

5 - 12 = -7

So your answer is 7x-7

Levi went to GamePlay to trade in his old games. GamePlay will pay him $4.99 per game he trades in. If Levi trades in 5 games and wants to purchase a new game for $59.99, how much will he have to pay? Write your answer as a decimal to two places.

Answers

Answer:

He will have to pay  $35.04

Step-by-step explanation:

4.99 x 5 = 24.95

59.99 - 24.95 = 35.04

You want to put a circular fence around the pool in youre backyard. The radius of the pool is 9 feet. How much fence would you need​

Answers

Answer:

Step-by-step explanation:

[tex]C=2\pi r\\ \\ C=2(9)\pi\\ \\ C=18\pi ft\\ \\ C\approx 56.55ft[/tex]

help me again please due today

Answers

Answer:

y-int. is -4 (red)

Step-by-step explanation:

Please I don’t understand I need help thank you

Answers

Answer:

Step-by-step explanation:

Understanding Transversals
Use the diagram to complete the statements
Angles 1 and 5 are supplementary because they
are
angles
3
2
Angles 4 and 6 are
are
because they
4
S
angles
7
6
8

Answers

Answer:

8

Step-by-step explanation:

7 and 8 are the angles so we need to find the decimal in the problem

Find the common difference for the given sequence.



1.05, 1.1, 1.15, 1.2, ...

0.5
0.05
0.005

Answers

2nd one because 1.1-1.05 is 0.05

Bryans gocket team is purchasing jersys. The company charges $250 for the onetime set-up fee and $23 for each printed jersey which expression repressents the total cost of x number for the team

Answers

Given:

The company charges $250 for the onetime set-up fee and $23 for each printed jersey.

To find:

The expression that represents the total cost of x number for the team.

Solution:

We have,

Fixed charges = $250

Additional charges = $23 per printed jersey

Let x be the number of printed jersey. Then,

Additional charges = $23x

Total chargers = Fixed charges + Additional charges

                        = $(250 + 23x)

Therefore, the expression for the total charges is $(250 + 23x).

In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 10 hours. How many bacteria would there be after 12 hours, to the nearest whole number?


Answers

Answer:

12,720

Step-by-step explanation:

5300 times 2.4 = 12,720

ANSWER THESE TWO QUESTIONS CORRECTLY TO BE MARKED BRAINILEST

Answers

Answer:

In this example, if you buy an item at $18.99 with 25% discount, you will pay 18.99 - 4.7475 = 14.24 dollars.

Step-by-step explanation:

What is the exact volume of the cone? with a 5 ft radius and a 16 ft height

Answers

Answer:

The volume is 418.93 ft^3

Step-by-step explanation:

Here, we want to find the volume of a cone

Mathematically, we use the formula;

V = 1/3 * pi * r^2 * h

r = 5 ft

h = 16 ft

Substituting these values;

V = 1/3 * 3.142 * 5^2 * 16

V = 418.93 ft^3

1.
Which relationship shows y as a function of x?
A. {(-3, 8), (-8, -1), (5, -7), (-8, -8)
B. {(3,-2), (-3, 7), (-7, 0), (1, 2)}
C. {(0, 3), (9, -8), (0, 8), (-6, -5)}
D. {(1, 0), (1, 5), (-4, 5), (-8, 0)}

Answers

I think B is the answer

Katrina received a raise in pay from $14.00 per hour to $15.10 per hour. What is her percent increase in pay per hour?
Type your answer using the % key. Round to the nearest whole percentage if necessary.

Answers

Answer:

8%

Step-by-step explanation:

(New - original) / original x 100

($15.10 - $14)/ $14 x 100 = 7.85 %

7.85% to the nearest whole percentage is 8%

since I cant motivate myself to do my work and stop procrastinating.....can someone motivate me?:/​

Answers

Answer:

take a time lapse video of yourself doing your homework on your phone! this way you won't be able to use your phone bc it will be doing the timelapse, and then after you finish you'll be able to go back and watch it :)

Step-by-step explanation:

Answer:

Make up a random doodle and name it bob.....YOU CAN DO THIS

Step-by-step explanation:

Brittany is making cookies. Her recipe calls for 2 1/2 cups of flour and 2/3 cups of sugar how much more flour does she need than sugar

Answers

Britanny will need 5/6 more flour than sugar

She needs 1 5/6 more cup(s) of flour than sugar ! Or , 11/6 more cup(s) of flour than sugar!

-Vamp :-)

please help me !!

Line q goes through points (-3, 3) and (-5, -3). At what point does line q cross the y-axis?

Answers

Answer:

(0, 12 )

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (- 5, - 3)

m = [tex]\frac{-3-3}{-5+3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 3, 3 ), then

3 = - 9 + c ⇒ c = 3 + 9 = 12 ← y- intercept

Thus the line crosses the y- axis at (0, 12 )

Answer:

It crosses the y-axis at the point where y = 12

- the point (0, 12).

Step-by-step explanation:

First we need to find the equation of the line q:

The slope of the line = (-3-3)/(-5-(-3))

= -6/-2

= 3.

Using the point-slope form of a line:

y - y1 = m(x - x1)         Take the point (-3, 3):

y - 3 = 3(x -(-3)

y - 3 = 3x + 9

y = 3x + 12.

Where q crosses the y-axis x = 0 so we have

y = 3(0) + 12

y = 12

The required point is (0, 12).

Solve for the variable
7x = -35

Answers

Answer:

x = -35/7

= -5

Answer:

x = -5.

Step-by-step explanation:

7x = - 35

x = -35/7

x = -5.

(4² + 52) * 33 =
43 × 6² = 2² -
93 + 72 =
52 x (83 – 32) =
pls help I need answers for all

Answers

Answer:

1st one: 2244

2nd one: x= -17/158

3rd one: 2652x

Step-by-step explanation:

hope this helps btw (s y m b o l a b) is a free math calculator that gives step-by-step answers i hope this helps :) have a nice day !!

When labeling a pre-image and it's image, we use a small tick mark. It's called a(n):
1. rule
2. tic tok
3. prime
4. quotation

Answers

Answer:

Prime

Step-by-step explanation:

If we have a point on a pre-image, we can have it labelled as A(x,y)

Now, we can write this as the image

To write this as the image, we simply have to add a mark on the A

This mark is at the upper right

We have it as A’ (x,y)

The part added is called a prime

Answer:

It’s a prime

Step-by-step explanation:

(-5,6) 5x+y=10 in slope intercept form

Answers

(-5 , 6) 5x + y = 10

                             ⤸

y = 5.6 * 5x = 10

step-by-step:

I. move the expression to the right

y = 10 + 5.6 * 5x

II. reorder the terms

y = 5.6 * 5x + 10
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