if a/b = 3 and a + b = 2, what is a - b​

Answers

Answer 1

Answer:

1

Step-by-step explanation:

a/b=3------equation 1

a+b=2-----equation 2

from equation 2

b=2-a

substitute b=2-a in equation 1

a/2-a=3

a=3(2-a)

a=6-3a

a+3a=6

a=6/4

a=3/2

substitute a=3/2 in equation 2

3/2+b=2

3+2b=4

2b=1

b=1/2

a-b=3/2-1/2

a-b=(3-1)/2

a-b=2/2

a-b=1


Related Questions

pls help me in this question it is really needed

Answers

Answer:

6 1/8 ×10 2/7= 60

60÷2 1/3= 30

The answer:

30

The length of a rectangular room is 2 feet longer than three times the width of the room perimeter is 132 feet what's the room dimensions

Answers

Answer:

The length is 50 feet and the width is 16 feet

Step-by-step explanation:

Let w represent the width of the room.

If the length is 2 feet longer than 3 times the width, the length can be represented by 3w + 2.

Use the perimeter formula, p = 2l + 2w. Plug in the perimeter and plug in 3w + 2 as l, the length:

p = 2l + 2w

132 = 2(3w + 2) + 2w

Simplify and solve for w:

132 = 6w + 4 + 2w

132 = 8w + 4

128 = 8w

16 = w

So, the width is 16 feet.

Plug in 16 as w into 3w + 2 to solve for the length:

3w + 2

3(16) + 2

48 + 2

= 50

The length is 50 feet and the width is 16 feet

Answer:

width=16feet

length=50feet

Step-by-step explanation:

let width be x and length be 3x+2

perimeter=2(length+width)

132=2(3x+2+x)

132=6x+4+2x

132=8x+4

132-4=8x

128/8=8x/8

16=x

width=16feet

length=16×3+2

length=50feet

The function ƒ(x) = x−−√3 is translated 3 units in the negative y-direction and 8 units in the negative x- direction. Select the correct equation for the resulting function.

Answers

Answer:

[tex]f(x)=\sqrt[3]{x}[/tex]  [tex]3~units\: down[/tex]

[tex]f(x)=\sqrt[3]{x} -3[/tex] [tex]8 \: units \: left[/tex]

[tex]f(x+8)=\sqrt[3]{(x+8)} -3[/tex]

----------------------------

Hope it helps..

Have a great day!!

Answer:

its not B that what i put and i missed it

Step-by-step explanation:

Which of the SMART criteria are NOT met by this data analytics project goal (pay close attention to whether the options are words the SMART acronym stands for)?

Answers

Answer:

Specific

Step-by-step explanation:

The data analytics is defined as the study of analyzing the raw data and information so as to make a proper conclusion about the information. It is a process of inspecting, transforming, and  modelling the data with the intention of finding useful information and conclusions.

The acronym for S.M.A..R.T is Specific, Measurable, Attainable, Relevant and Time bounding.

The SMAR criteria which do not meet the data analytics project goal in the question is "Specific".

A certain cosine function has an amplitude of 7. Which function rule could model this situation?

Answers

Answer:

y = 7cos bx

Step-by-step explanation:

For a cosine function without pahse shift and vertical shift, but with amplitude given, it will also have period and thus , the formula for the cosine function is;

y = Acos bx

Where;

A is the amplitude

Period = 2π/b

Now, we are told that the amplitude is 7. Thus;

y = 7cos bx

You start savings a $250 a month for the next 22 years to give us a gift to your daughter when she graduates college if you put the money into a long-term savings account that receives 3.5 interest how much money will you be able to give your daughter

Answers

Answer:

$376,475.71  

Step-by-step explanation:

FVA Due = P * [(1 + r)n – 1] * (1 + r) / r

FVA Due = 250 * [(1.2916)264 – 1] * (1.2916) / .2916

- Mariah is looking at her bank account and sees that she is in debt $40. She plans to buy dinner
for several friends on Friday at $5 per meal. On Monday she earns $30.25 babysitting and
$25.75 for tutoring several younger students. On Tuesday, she cleans the apartment for her
mom and earns $11 dollars. She spends $2 of those dollars on a candy bar. How many friends
can she buy dinner for on Friday?

Answers

Answer:  5 friends

Note: if Mariah pays for her own meal, then it would drop to 4 friends.

===========================================================

Explanation:

Add up the amount she earns:

30.25+25.75+11 = 67

Now add up the amounts that she's either in debt or that she spends money on. Ignore the dinner portion for now.

40+2 = 42

She earns $67 total and has to spend $42, without including the dinner portion just yet. That means Mariah has 67-42 = 25 dollars left over.

-------------------

Let x be the number of $5 meals she can buy

So she can spend a total of 5x dollars here. Set this equal to 25 (the amount left over) and solve for x.

5x = 25

x = 25/5

x = 5

She can buy dinner for 5 friends. Or if Mariah is paying for herself as well, then she can buy dinner for 4 friends. It's not clear which scenario your teacher is after, but I'll assume the first scenario.

$9500 is invested, part of it at 11% and part of it at 8%. For a certain year, the total yield is $937.00. How much was invested at each rate

Answers

Answer:

5900 at 11%

3600 at 8%

Step-by-step explanation:

x= invested at 11%

y= invested at 8%

x+y=9500

.11x+.08y=937

Mulitply the first equation by .11

.11x+.11y= 1045

Subtract this and the second equation

(.11x+.11y)-(.11x+.08y)=1045-937

.03y=108

y=3600

SOlve for x

x+3600=9500

x=5900

Are the two figures similar? if they are, solve for the missing side.

Answers

Answer:

They are not similar.

Step-by-step explanation:

26 / 13 = 2

24 / 11 = 2.18

They are not proportional which means that they don't have a scale factor and cannot be answered.

Let (-5, 2) be a point on the terminal side of 0.
Find the exact values of coso , csco, and tano.

Answers

Answer:

Following are the response to this questions:

Step-by-step explanation:

Please find the graph file in the attachment.

Given:

P=2

B=-5

H=?

[tex]H=\sqrt{P^2+B^2}[/tex]

    [tex]=\sqrt{2^2+(-5)^2}\\\\=\sqrt{4+25}\\\\=\sqrt{29}\\\\[/tex]

Using formula:

[tex]\to \ cosec \theta \ or\ \ csco \theta =\frac{H}{P}\\\\\to \cos \theta=\frac{B}{H}\\\\\to \tan \theta=\frac{p}{B}\\\\[/tex]

So,

[tex]\to \ cosec \theta \ or\ \ csco \theta =\frac{\sqrt{29}}{2}\\\\\to \cos \theta=\frac{-5}{\sqrt{29}} =\frac{-5}{\sqrt{29}}\times \frac{\sqrt{29}}{\sqrt{29}}=-\frac{5\sqrt{29}}{29}\\\\\to \tan \theta=\frac{2}{-5}= -\frac{2}{5}\\\\[/tex]

1. Prove the following identity:
—> sin^2 theta (1+ 1/tan^2 theta) =1

Answers

9514 1404 393

Explanation:

  [tex]\sin^2(\theta)\times\left(1+\dfrac{1}{\tan^2(\theta)}\right)=\\\\\sin^2(\theta)\times\left(1+\dfrac{\cos^2(\theta)}{\sin^2(\theta)}\right)=\\\\\dfrac{\sin^2(\theta)\cdot(\cos^2(\theta)+\sin^2(\theta))}{\sin^2(\theta)}=\\\\\cos^2(\theta)+\sin^2(\theta)=1\qquad\text{Q.E.D.}[/tex]

Question 24… please someone help thank you!

Answers

Answer:

72 in^2

Step-by-step explanation:

The area of the square in the middle is

A = s^2 = 6^2 = 36

The area of the triangle on the left is

A =1/2 bh = 1/2 ( 6*6) = 18

The area of the triangle on the right

A = 1/2 bh = 1/2(6*6) = 18

Add the areas together

36+18+18 = 72

Area of the middle square = 6 x 6 = 36

Area of a triangle is 1/2 x base x height:

Area = 1/2 x 6 x 6 = 18

Both triangles have a base of 6 and height of 6 so both triangles have the same area.

Total area = 36 + 18 + 18 = 72 square in.

The answer is D. 72

Plz answer quick!!! Apx Unit 7

Answers

It’s letter D because the square in Step 1 is still not big enough to look like Step 2. hope this helps.

A punch contains cranberry juice and ginger ale in the ratio 5:3. If you require 32 L
of punch for a party, how many litres of cranberry juice and how many litres of ginger
ale are required?

Answers

you must add
6
litres of cranberry juice
Explanation:
"A fruit punch recipe calls for 3 parts of apple juice to 4 parts of cranberry juice"
Meaning: For every 3 litres of apple juice, you must add 4 litres of cranberry juice. That means if you add 6 litres of apple juice, then you must add 8 litres of cranberry juice
Now, if you add 4.5 litres of apple juice, you can think of it this way
3
apple juice
:
4
cranberry juice

4.5
apple juice
:
x
cranberry juice
x
=
4.5
×
4
3

x
=
18
3

x
=
6
Therefore, you must add
6
litres of cranberry juice
Answer link

Shwetank Mauria
Jul 25, 2018
6
liter of cranberry juice.
Explanation:
As
3
parts of apple juice are added to
4
parts of cranberry juice
and
4.5
liter of apple juice means each of three parts are
4.5
3
=
1.5
liter
and one needs
4
parts of cranberry juice i.e.
4
×
1.5
liter or
6
liter of cranberry juice.

Determine whether the series is convergent or divergent by expressing the nth partial sum sn as a telescoping sum. If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

Answers

Answer: Hello attached below is the complete question

answer :

It is convergent ,  sum = 7/12

Step-by-step explanation:

Sn = 1/3 + 1/4 - 1/n - 1/n+1

It is convergent  and the sum = 7/12

attached below is the remaining part of the solution

describe how you could use the point-slope formula to find the equation of a line that is perpendicular to a given line and passes through a given point

Answers

Answer:

Using the slope intercept formula, we can see the slope of line p is ¼. Since line k is perpendicular to line p it must have a slope that is the negative reciprocal. (-4/1) If we set up the formula y=mx+b, using the given point and a slope of (-4), we can solve for our b or y-intercept. In this case it would be 17.

how to construct angle 30°​

Answers

Answer:

Angle ABC = 30°

Step-by-step explanation:

Construct a ray AB, horizontally.Take a compass, keep the pointy edge on the origin of the ray and make an arc passing through AB.Mark the point where the arc cuts AB as XPlace the pointy edge of the compass on X, draw another arc through the existing arc.Mark the point where on arc cuts the other arc as Y.Now from the origin of AB through the point Y draw a straight line.The angle thus formed is 60°.Now make arcs keeping the compass on X and Y.Mark the point where these two arcs meet as Z.Now from the origin of AB through the point Z draw a straight line.The angle formed in this process is a 30°.

Which value of a in the exponential function below would cause the function to stretch?
f(x) = (1)
O 0.3
O 0.9
O 1.0
O 1.5

Answers

Answer:

1.5

Step-by-step explanation:

Took the test already.

The value of a for which the exponential function below would cause the function to stretch is a > 1 Or 1.5.

What are some rules for function transformations?

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over y axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

We know an exponential function f(x) = [tex]e^x[/tex].

Now if we multiply f(x) by some number 'a' which is greater than 1 let it be g(x) = [tex]ae^x[/tex] the function would stretch horizontally for a > 1.

learn more about function transformations here :

https://brainly.com/question/13810353

#SPJ6

Giving BrainleYst. Which Inequality is graphed on the coordinate plane?
O A. y<-2x-1
OB. y>-2x-1
OC. ys-2x-1
OD. y2-2x - 1

Answers

Answer:

A. y<-2x-1

Step-by-step explanation:

not C or D because it is a dashed line meaning the linear equation will either have the symbol ≥ or ≤.

when y is less than, you shade below

thus, the answer is A

What is the common denominator of (5/x^2-4) - (2/x+2) in the complex fraction (2/x-2) - (3/x^2-4)/(5/x^2-4) - (2/x+2)

Answers

9514 1404 393

Answer:

common denominator: (x² -4)simplified complex fraction: (2x +1)/(9 -2x)

Step-by-step explanation:

It is helpful to remember the factoring of the difference of squares:

  a² -b² = (a -b)(a +b)

__

Your denominator of (x² -4) factors as (x -2)(x +2). You will note that one of these factors is the same as the denominator in the other fraction.

It looks like you want to simplify ...

  [tex]\dfrac{\left(\dfrac{2}{x-2}-\dfrac{3}{x^2-4}\right)}{\left(\dfrac{5}{x^2-4}-\dfrac{2}{x+2}\right)}=\dfrac{\left(\dfrac{2(x+2)}{(x-2)(x+2)}-\dfrac{3}{(x-2)(x+2)}\right)}{\left(\dfrac{5}{(x-2)(x+2)}-\dfrac{2(x-2)}{(x-2)(x+2)}\right)}\\\\=\dfrac{2(x+2)-3}{5-2(x-2)}=\boxed{\dfrac{2x+1}{9-2x}}[/tex]

Answer:

c

Step-by-step explanation:

(x+2)^2(x-2)

A cube has an edge of 2.25 feet. The edge is increasing at the rate of 1.25 feet per hour. Express the volume of the cube as a function of h, the number of hours elapsed.

Answers

Answer:

[tex]V(h)=(1.25h+2.25)^3[/tex]

Step-by-step explanation:

Recall that the volume of a cube is given by:

[tex]\displaystyle V = s^3[/tex]

Where s is the side length of the cube.

The edges of the cube has an original length of 2.25 feet. It increases by 1.25 feet per hour. In other words, the length s after h hours can be modeled by the equation:

[tex]s=1.25h+2.25[/tex]

Substitute. Hence, our function is:

[tex]V(h)=(1.25h+2.25)^3[/tex]

Line segment TV is a midsegment of ∆QRS. What is the value of n in the triangle pictured?

A: 6.5

B: 7.6

C: 15.2

D: 3.2

Answers

Answer:

D. 3.2

Step-by-step explanation:

Mid-segment Theorem of a triangle states that the Mid-segment in a triangle is half of the third side of the triangle.

Based on this theorem, we have: TV = ½(RS)

TV = 3n - 2

RS = n + 12

Substitute

3n - 2 = ½(n + 12)

Multiply both sides by 2

2(3n - 2) = (n + 12)

6n - 4 = n + 12

Collect like terms

6n - n = 4 + 12

5n = 16

Divide both sides by 5

5n/5 = 16/5

n = 3.2

Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?

y – 12 = –5(x + 2)
y – 12 = 2(x + 2)
y + 12 = 2(x – 2)
y + 12 = –5(x – 2)

Answers

Answer:

the answer is A y  −  12  =  − 5 ( x + 2 )

Step-by-step explanation:

y − 12 = ( − 5 x + 2 ) ⋅ ( x + 2 )

to get this answer you can plug it into point slope equation:

y-y1=m(x+x1)

plug in the given information:

-y and x will stay the same

-y1 will be 12 and x1 will be -2 (remember the given point -2,12)

-m will be the slope given from the y intercept equation

I hope this helps~

Answer:

a

Step-by-step explanation:

What two things have to be true in order to use the Zero Product Property?

A: Both sides of the equations must be zero.

B: One side of the equation must be a factored polynomial, and the other side must be -1.

C: One side of the equation must be a factored polynomial, and the other side must be 1.

D: One side of the equation must be a factored polynomial, and the other side must be zero.

Wrong answers will be reported. Thanks!

Answers

Answer:

D - One side is a factored polynomial and the other side is 0.

A - Incorrect; If each side is 0, the equation would be equal since 0 = 0.

B - Incorrect; It cannot be -1 because the property states Zero product which means 0 should be the product.

C - Incorrect; It cannot be 1 because the property states Zero product which means 0 should be the product.

D - Correct; One side is 0, and the other is a factored polynomial, which correctly displays the correct definition of Zero Product Property.

21-B Book Street Books sells about 700700 books each month. The pie chart displays the most popular book categories, by percentage, each month. Find the number of romance books sold each month. Round your answer to the nearest integer.

Answers

Solution :

Given data :

Total number of books sold each month= 700

The charts in the display attached below shows the most popular books category by percentages.

Percentage of romance books sold each = 8.5%

Therefore, the number of romance books sold in each month is given by :

[tex]$=8.5 \% \text{ of }\ 700$[/tex]

[tex]$=\frac{8.5}{100}\times 700$[/tex]

= 59.5

≈ 60 books (rounding off)

You can use the fact that total amount is taken as 100%.

The number of romance books in the given Streets Books is 60

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is [tex]\dfrac{a}{100} \times b[/tex]

How to find the number of Romance books if its given that it is 8.5% of the total books present in that book collection?

Since the total amount of books is 700, and its 8.5% books are romance books, thus we have:

[tex]\text{Number of Romance books} = \dfrac{700}{100} \times 8.5 = 59.5 \approx 60[/tex]

The number of romance books in the given Streets Books is 60

Learn more about percentage here:

https://brainly.com/question/11549320

it takes engineer 3 hrs to drive to his brother's house at an average of 50 miles per hour. if he takes same route home, but his average speed of 60 miles per hour, what is the time, in hours, that it takes him to drive home?​

Answers

Answer:

t2 = 2.5 hours.

Step-by-step explanation:

The distance is the same.

d = r * t

The rates and times are different so

t1 = 3 hours

t2 = X

r1 = 50 mph

r2 = 60 mph

r1 * t1 = r2*t2

50 * 3 = 60 * t2

150 = 60 * t2

150 / 60 = t2

t2 = 2.5

Answer:

Answer: Travel Time is 2 hours & 30 minutes

Step-by-step explanation:

Original Journey Time is 3 hours, Speed is 50 mph, Distance is 150 miles

Original Distance is 150 miles, New Speed is 60 mph.

Also Combined Distance was 300 miles, Combined Time was 5 hours & 30 minutes. therefore: Average Speed for complete round trip is 54. 54 mph

D
6
5
F
5.5
к.
6.6
What additional information must be known to prove the triangles similar by SSS?
A) No additional information is needed.
B) 2D = LJ
C) The lengths of DG and JL
D) .F.LK

Answers

Answer:

C) the length of DG and JL

What is the following product?
(V12+ V6 (16-V10
6-12-2130+6-2V15
-2 དུ་
6V3-615
31/7- V22+2/3-4
2V3+6-2V15

Answers

Answer:

The answer is A: 6√2 - 2√30 + 6 - 2√15

Believe me it right.

the fraction a/24reduced by a factor 4, and the result is 5/b. Find a and b



PLEASE HELP MY SISTER

Answers

Answer:

A= 20

B= 6

Step-by-step explanation:

A= 5 times 4= 20

B= 24/4= 6

A jewelry box is in the shape of a rectangular prism with an area of 528 cubic inches. The length of the box is 12 inches and the height is 5 1/2 inches. What is the width of the jewelry box? A=LxWxH

please help. :)​

Answers

the height is 8 i believe
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