If 9(1-x) = 27Y and x-y=-11/2, find the value of x + y.​

Answers

Answer 1

Answer:

-2.25

Step-by-step explanation:

9(1-x) = 27Y

9-9x =27y

-9x -27y = -9  multiply all terms by -1

9x +27y =9   equation (1)

x-y= -11/2 equation (2)

by solving 2 equations

x= -3.875

y= 1.625

∴ x+ y = 1.625 +(-3.875) = -2.25

Answer 2
Let 9(1-x) = 27y be equation one and let x-y = -11/2 be equation two

Simplify -11/2 into -5.5 and make x the subject in equation two by moving y to the other side as a positive value. So now you have x= -5.5+y (now let that be equation two)

Sub equation two into equation one so that you get 9(1-(-5.5+y)= 27y


Expand brackets 9(1+5.5-y)= 27y

Simplify brackets 9(6.5-y)= 27y

Expand brackets 58.5-9y= 27y

Take -9y to the other side as a positive number

58.5= -36y

Divide both sides by -36

y= 1.625

For x, substitute the value of y into equation two

x= -5.5+1.625

x= -3.875

To finally answer the question aadd the value of x and y together

-3.875+1.625= -2.25

Som the value of x + y is -2.25

Related Questions

Introduction to nonlinear models
Complete the table below.

Answers

Answer:

The table will be:

x            y = 2x²         y = 2ˣ

0            0                   1

1             2                  2

2             8                  4

Step-by-step explanation:

Given the non-linear  equations

y = 2x²

y = 2ˣ

When x = 0

y = 2x²                              

y = 2(0)² =0

y = 2ˣ

y = 2⁰ = 1

When x = 1

y = 2x²                              

y = 2(1)² = 2

y = 2ˣ

y = 2¹ = 2

When x = 2

y = 2x²                              

y = 2(2)² = 8

y = 2ˣ

y = 2² = 4

Thus, the table will be:

x            y = 2x²         y = 2ˣ

0            0                   1

1             2                  2

2             8                  4

Conrad hires a band to pl ay for his graduation party. The band charges a flat fee of $200, plus $125 per hour after the first hour. Which equation best describes the cost, c, of the band in relation to the time, t, that they play?

Answers

It’s $325 , branliest please

Select the correct answer.

Which inequality will have a dashed boundary line with a shaded area above its graph?

A. 7x − y ≤ 3

B. x − y ≤ 4

C. 2x − 9y > 2

D. 4x + 7y > 3​

Answers

Answer is
D
(You are welcome)

pls help meh...... with the question.....pls it's urgent ...........​

Answers

Answer:

1.6962 = 1.70 (2 dp)

0.4247 = 0.425 to 3 dp

0.007395 = 0.007 to 3 dp

0.007395 = 0.0074 to 4 dp

32549 = 32500 to 3 significant figures

32549 = 32550 to 4 significant figures

909520 = 910000 to 3 significant figures

909520 = 909500 to 4 significant figures

Step-by-step explanation:

1.6962 = 1.70 (2 dp)

0.4247 = 0.425 to 3 dp

0.007395 = 0.007 to 3 dp

0.007395 = 0.0074 to 4 dp

32549 = 32500 to 3 significant figures

32549 = 32550 to 4 significant figures

909520 = 910000 to 3 significant figures

909520 = 909500 to 4 significant figures

As an estimation we are told £3 is €4. Convert £54.20 to euros.

Answers

Answer:

$40 in euros!

Step-by-step explanation:

HELP ME PLEASE!!!
Martha states that –6 is a rational number. Which is a correct explanation for this statement?

The number –6 is the opposite of 6.

The number –6 is a negative integer.

The number –6 can be written as -6/1.

The number –6 is less than 0.

Answers

answer c, but then again i did this a while ago and my memory is cooky

Solve the following: Eric’s father works two part-time jobs, one in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek. If his schedule is the same each day, and he works 3 hours each morning, how many hoursdoes Eric’s father work each afternoon?The equation for this math problem is 5(a +3) =40 What does the 5 represent? * What is a?

Answers

43 is the correct anwser to probelm

the width of a rectangle is ycm and its length is y+2 cm. if the perimeter of the rectangle is 32cm what is the width of the rectangle​

Answers

Answer:

[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]

ꜰɪʀꜱᴛ ᴡᴇ ᴡʀɪᴛᴇ ᴛʜᴇ ɢɪᴠᴇɴ↴

⇒WIDTH = Y cm

⇒LENGTH =( y+2 )cm

⇒PERIMETER = 32cm

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

solution ↴

perimeter of rectangle = 2 ( length + width)

[tex]32cm = 2( (y +2) +y )cm \\ \frac{32}{2} cm = 2y + 2cm \\ 16cm = 2y - 2cm \\ 16 cm- 2 cm=2y\\ 14cm = 2y \\ y = \frac{14cm}{2} \\ y = 7cm

[/tex]

☛ so the width of the rectangle is 7cm

so we all done :D

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 357 grams of copper. How many grams of zinc does it contain?

Answers

Answer:84

Step-by-step explanation:

This is your perfect answer.


Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu
Moles Zn = 4/15(4.72) = 1.26 moles
mass Zn = 1.26 moles x 65.38 g/mol = 82.3 g

What is 1 + 1? EXPLAIN WHY IN ORDER TO GET BRAINILIEST!

A) 100
B) 21
C) 2
4) CHICKEN WING

Answers

Answer: C)2

Step-by-step explanation:

BECAUSE IT IS YASS BESTIEEEEE

Answer:

1 + 1 = 2 because this is literally the first thing you get taught when in kindergarten math.

take one finger, and then another finger, and it makes two fingers :)

A number consists of two digit whose sum is 9. If 9 is subtracted from the number the digits
interchange their places. Find the number.

Answers

Answer:

[tex]54[/tex]

Step-by-step explanation:

[tex]Let\ the\ first\ digit\ of\ the\ two\ digit\ number\ be\ a\\Let\ the\ second\ digit\ of\ the\ two\ digit\ number\ be\ b\\Hence,\\We\ are\ given\ that,\\a+b=9\\Hence,\\b=(9-a)\\As\ we\ know\ that,\\The\ original\ number\ containing\ 2-digits\ can\ be\ written\ as: 10a+b\\Hence,\\The\ original\ number=10a+(9-a)\\The\ original\ number=9a+9\\\\[/tex]

[tex]Now,\\Lets\ consider\ the\ reversed\ number\ with\ the\ reversed\ digits\ of\ the\\ original\ number.\\Hence,\\Reversed\ number\ containing\ reversed\ digits\ can\ be\ written\ as:10b+a\\Hence,\\Reversed\ number=10b+a\\Reversed\ number=10(9-a)+a=90-10a+a=90-9a\\[/tex]

[tex]Now,\\We\ are\ given\ that,\\Original\ Number-9=Reversed\ number\\Or,\\Original\ Number-Reversed\ number=9\\Hence,\\9a+9-(90-9a)=9\\9a+9-90+9a=9\\18a=90\\a=\frac{90}{18}=5[/tex]

[tex]As\ a=5, b=(9-5)=4\\Hence,\\The\ original\ number=10a+b=10*5+4=50+4=54[/tex]

Can anybody answer these 2 please hurry

Answers

Answer:

the first one is b= 52

the second one is b= 63

slove the product of
[tex]1345 \times {10}^{1} = ?[/tex]
then explain how you moved the demal to get the product ​

Answers

Answer:

1.345

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

what is 5/8 divided by 4

Answers

Answer:

0.156

Step-by-step explanation:

Answer:

5/32

Step-by-step explanation:

[tex] \frac{5}{8} \div 4 \\ \\ = \frac{5}{8} \times \frac{1}{4} \\ \\ = \frac{5 \times 1}{8 \times 4} \\ \\ = \frac{5}{32} [/tex]

IS THIS A FUNCTION AND WHICH ONE?! VEIW PICTURE

Answers

Answer:

A and B are functions but C is not

Step-by-step explanation:

a  function has one y value to every x value.

plzzz help me with this ​

Answers

Answer:

Please find attached the required flow chart proof created using Microsoft Visio

Step-by-step explanation:

The given parameters are;

[tex]\overline {BD}[/tex] bisects ∠ADC and ∠ABC

Required to proof that ΔABD ≅ ΔCBD

The two column proof is given as follows;

Statement                [tex]{}[/tex]            Reason

[tex]\overline {BD}[/tex] bisects ∠ADC    [tex]{}[/tex]           Given

∠ADB ≅ ∠CDB    [tex]{}[/tex]                Definition of angle bisector

[tex]\overline {BD}[/tex] bisects ∠ABC    [tex]{}[/tex]           Given

∠ABD ≅ ∠CBD    [tex]{}[/tex]                Definition of angle bisector

[tex]\overline {BD}[/tex] ≅ [tex]\overline {BD}[/tex]            [tex]{}[/tex]                Reflexive Property

ΔABD ≅ ΔCDB    [tex]{}[/tex]                ASA

The Angle-Side-Angle ASA, ASA, congruency postulate, states that if two angles and the included side of one triangle is congruent to two angles and the included side of another triangle, then the two angles are congruent.

Johnny and Dustin both went bowling last weekend, but not together. Johnny went during open bowling time, paying $13 for shoe rental and $3 per hour. Dustin went on family night, when each hour was $4 and shoe rental was $3. As it turned out, they played for the same number of hours and spent the same amount. How much did each one spend? How many hours did each one bowl?

Answers

Answer:

10 hours

$43

Step-by-step explanation:

Given that:

Jonny:

Shoe rental = $13

Fee per hour = $3

Dustin :

Shoe rental = $3

Fee per hour = $4

Number of hours bowled is the same

Let number of hours bowled = x

$13 + 3x = $3 + 4x

3x - 4x = $3 - $13

-x = - 10

x = 10

Number of hours each bowled = 10

Amount spent :

Jonny:

$13 + 3x = $13 + $3(10) = $13 + $30 = $43

Dustin :

$3 + 4x = $3 + $4(10) = $3 + $40 = $43

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it’s 11 but not sure

Step-by-step explanation:

Answer:

11.4017543

(round if you're supposed to)

Step-by-step explanation:

It is a right triangle so you can use the pythagoreum theorem.

a(a) + b(b) = c(c)

a and b: legs

c: hypostenuse

9 and 7 are legs

the unknown is the hypostenuse

9(9) + 7(7) = c(c)

81 + 49 = c(c)

130 = c(c)

square root of 130 is 11.4017543

c(c) = 130

c = 11.4017543

Find (x^3+7x^2-16x-112) divide (x+4) by using synthetic division.

Answers

Answer:

x^2+3x-28

Step-by-step explanation:

Answer:

The answer is x^2  3x 28

Step-by-step explanation:

The designers of drink cartons must consider the length of the straw required so that it will reach the bottom
of the carton. We will make the following assumptions:
-the straw must stick out of the carton by an additional 1.5 cm
-the hole is at one vertex of the carton
-the straw must be able to reach into the diagonally opposite corner of the base of the carton
use the formula a^2+b^2+c^2=d^2
CHECK IMAGE FOR VISUAL REPRESENTATION OF THE CARTON

Answers

Answer:

The length of the straw is 13.53 cm

Step-by-step explanation:

Rectangular Prism

A rectangular prism or cuboid is a box-shaped object. It has six flat faces and all angles are right angles. And all of its faces are rectangles.

If the straw must reach into the diagonally opposite corners of the base of the carton, then its minimum length is calculated by:

[tex]d^2= a^2+b^2+c^2[/tex]

Where a,b, and c are the dimensions of the cuboid. The image shows the dimensions of the drink carton: a=6 cm, b=10 cm, c=4 cm (order is not important), thus:

[tex]d^2= 6^2+10^2+4^2=36+100+16=152[/tex]

[tex]d=\sqrt{152}[/tex]

d= 12.33 cm

The straw must stick out of the carton by an additional 1.5 cm, thus the total length of the straw is: 12.33 + 1.5 = 13.53 cm

Answer:

the answer is right above me

A grocer wants to mix two kinds of coffee. One kind sells for $1.55 per pound, and the other sells for $2.80 per pound. He wants to mix a total of 19 pounds and sell it for $2.15 per pound. How many pounds of each kind should he use in the new mix

Answers

9.5 or 9 1/2 if you want them both to be an equal mix

How many radians are in 1 degree?
A
TT
180
B
180
TT
c
TT
360
D
360
TT

Answers

Answer: C Because Radians Are Rotations 1 Radian is 360 Degrees

Step-by-step explanation:

Solve. Please show work and explain your steps. Do not just post your answer
Put your answer as a mixed number and/ or simplified fraction.
(1) 4 x 3/7 = ?
(2) 2/9 x 3/5 = ?

Answers

Answer:

1. 1 5/7

2. 2/15

Step-by-step explanation:

1. 4/1 × 3/7= 4 times 3, 1 times 7 = 12= 1 5/7

2. 2/9 × 3/5= 2 times 3, 9 times 5= 6/45= 2/15

BRAINLIEST TO RIGHT ANSWER! ASAP!

Answers

Answer:

y=-1/2x+1

Step-by-step explanation:

Answer would be y=1/2x+1

The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was x dollars?

Answers

Answer:

The value of the car will be x - (0.15)x after a year.

Step-by-step explanation:

The car was 15% more when it first came out, and the price went down by 15% after a year.

Therefore, to solve this problem, we need to multiply 0.15 by the initial cost, which will tell you how much the car price decreased.

Then, we need to subtract this amount from x, or the initial cost, in order to find how much the car will be worth after a year.

Therefore, the value of the car will be x - (0.15)x after a year.

Hope this helps! :D

NEED HELP NOW WILL GIVE BRAINLEIST!!!!!!b) Calculate the area of the red triangle to find the area of the garden. Show your work. (2 points)

Answers

Answer:  9 ab is the area of the garden.

No scale or dimensions are given, so

Estimating to get a practical, reasonable answer:

Using typical walkway widths to 6 ft, it is reasonable to calculate the area the red triangle to be 486 square feet

and the area of the garden to be about 4400 square feet, rounding up.

OR

Using a metric standard of 2 meters, The area of the red triangle would be 54m²

The area of the garden would be about 500m²

Step-by-step explanation:

The area of the red triangle is [tex]A = \frac{ab}{2}[/tex]  That is assuming that it is a right triangle and side a is the altitude or height of the triangle and side b is the base.  

The measurements of the triangle are approximately in the proportion of 3, 4, 5, a typical "Pythagorean Triple" right triangle.

Estimating from rough measurements of the triangle and the dimensions of the garden as shown, it appears that the area of the garden is about 18 times the area of the red triangle.

The area of the triangle is half the area of a rectangle with the same side lengths a & b, so 9 ab is a good estimate of the area of the garden.

If  the walkways are the typical 6 foot width found in many public gardens, and the length side b is the about 6 of those widths, and side a is about 4.5 of those widths, we can estimate the altitude to be 27 and the base to be 36 (in the proportion 3:4).

Area of the triangle estimate: A = 36ft × 27ft /2 = 486 square feet

OR

Using a metric standard, estimate  a 2 meter wide sidewalk, the area of the triangle can be reasonably calculated to be A = 9m × 12m /2 = 54 m²

The area of the garden would be 9 × 54 = 486m² rounded reasonably to 500m²

Answer: 5400

Step-by-step explanation:The area of the triangle is defined as the product of half the base and the height of the triangle. The area of the triangle = 1/2 x b x h It is given that the length of the sides are as A= 90 B=120 C=150.

So, The area of the triangle = 1/2 x b x h = b x h/2  = 120 x 90/2 = 10800/2 = 5400

PLEASE HELP FAST MAKE SURE YOU READ IT CORRECT I WILL GOVE BRAINLIST AND EXTRA POINTS PLEASE HELP!

Answers

Answer:

f(5) = 3

Step-by-step explanation:

f(x) is the y coordinate at x.

At x = 5, y = 3, so f(5) = 3.

Someone help me pls!!!!

Answers

Answer:

it b

Step-by-step explanation:

If u can guess the number I’m thinking of you will get brainliest. 1-20

Also if u dig a 6 feel hole how deep is that hole?

Answers

about 20 feet deep yessir

im guessing 12

and if you dig a 6 feet deep hole its 6 feet

What is 56/5 simplest form???

Answers

Answer:

9 1/3

Step-by-step explanation:

this is what i think and i hope im right

Answer:

11 1/5

Step-by-step explanation:

You can do 56 divided by 5 to answer this.

56 / 5 = 11 and 1/5

11 1/5

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