If 3+a=4-b and 4+b=7+a, what is 3-a?

Answers

Answer 1

Step-by-step explanation:

3+a=4-b

4+b=7+a

a=1-b

4+b=7+1-b

2b=4

b=2

a=1-2= -1

3-a= 3- -1= 3+1=4

3-a=4

Answer 2

Answer:

The answer is 4.

Step-by-step explanation:

First, you have to form simultaneous equations :

[tex]3 + a = 4 - b[/tex]

[tex]a + b = 1 - - - (1)[/tex]

[tex]4 + b = 7 + a[/tex]

[tex]a - b = - 3 - - - (2)[/tex]

Next, you have to solve it :

[tex](1) - (2)[/tex]

[tex]a + b - (a - b) = 1 - ( - 3)[/tex]

[tex]2b = 4[/tex]

[tex]b = 2[/tex]

[tex]sub \: \: b \: = 2 \: \: into \: \: (1)[/tex]

[tex]a + 2 = 1[/tex]

[tex]a = 1 - 2[/tex]

[tex]a = - 1[/tex]

Lastly, you have to substitute a-value into the expression :

[tex]3 - a = 3 - ( - 1) = 4[/tex]


Related Questions

Which graph represents the function f(x) = 4|x|?

Answers

Answer:

The 2nd one

Step-by-step explanation:

It is a compression, because you are multiplying by a whole number greater than 1, therefor the line will look thinner

The area of a circle is 9πft^2. What is the circumference in feet?

Answers

Answer:

98

Step-by-step explanation:

Answer:

6π ft

Step-by-step explanation:

Area:

A = πr²

Circumference:

C = 2πr

Substitute values in area:

πr² = 9πr² = 9r = 3 ft

Circumference is:

C = 2π*3 = 6π

PLEASE HELLPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

a) 33

B) 65?

C) 60?

D) Becuase its the same shape just smaller.

E) 14, its cut in half

Step-by-step explanation:

be careful if you use these, its been a while since I geometry.

a bacteria culture doubles every 3 minutes. if 400 bacteria started, how long will it take before there are 2000 in the culture?

Answers

Answer:

15 minutes

Step-by-step explanation:

400 to 2000(x5)

so, 3 times 5 is equal to 15 min

15 minutes to get to 2000

I need to know the answer ASAP

Answers

Q1) 20 minutes past 8

Q2) Four O’clock

Sweet Orange
$1.29/lb
What's the final price of 8 pounds of oranges? Assume that the tax is regular and that your
membership gives you an extra 10% off. *

Answers

1.29x8=10.32
10.32x10%
10.32x0.10=1.03
10.32-1.03=9.29

Simplify
(5 - 4x) (6 + 7x)

Answers

Answer:

30+11x−28x2

Step-by-step explanation:

it is 30+11x-28x2

The tax on a $50 item is $3.00.
Find the tax on a $140 item.​

Answers

Answer:

The tax is 6% of the item. 140*0.06=$8.40

Step-by-step explanation:

Answer:

$8.40

Step-by-step explanation:

3÷50=.06

.06*140=8.4

What is 23% over a 100​

Answers

Answer:

0.0023 or 23 / 10000

Step-by-step explanation:

23% = 0.23

0.23 / 100 = 0.0023

Answer:

23

Step-by-step explanation:

anything over 100 s a percent

like 15/100 is 15%

Hi! Please i need your help!. Thank you to those who help and answer correctly

Answers

Answer:

I believe there are 5

Step-by-step explanation:

if there are 4 friends and Mary then that makes 5 people in total.

Partners would be 4 including Mary would then make a 5 team

Which set of values for x makes the inequality 12−x<7 true

Answers

Answer:

[tex]\{x:x>5\}[/tex]

Step-by-step explanation:

Given

[tex]12 - x < 7[/tex]

Required

Values of x that make it true

First: solve the inequality.

[tex]12 - x < 7[/tex]

Collect Like Terms

[tex]- x < 7-12[/tex]

[tex]- x < -5[/tex]

Multiply both sides by -1

[tex]-1 * - x < -5 * -1[/tex]

[tex]x > 5[/tex] --- The inequality changes when multiplied by a negative value

So, the solution implies that the value of x is greater than 5 (i.e. 6, 7, 8..)

Hence, the set is:

[tex]\{x:x>5\}[/tex]

Subtract 7−5x from 2−3x . What is the difference?

Answers

Answer:

7−5x from 2−3x

Step-by-step explanation:

you flip them and get 2−3x 7−5x. try it that way...

i forgot to bring a piece of paper, im on the road

Find the quotient: 68/6

Answers

Answer:

The answer is 11. 2 is the remainder

Step-by-step explanation:

hope this helps

Find an equation of the straight line that is perpendicular to y=2x+1 and passes through the point (-2,5)

Answers

Answer:

y = -1/2x + 4

Step-by-step explanation:

to answer this question you need to find the slope and the y-intercept

to find the slope of a line that is perpendicular to another line you take the opposite and reciprocal of the slope of the first line

in this case the slope of the initial line is 2; therefore, the opposite reciprocal is -1/2

knowing slope ('m') = -1/2 and having the point (-2, 5) can give us the y-intercept of the new line; we start with:

y = mx + b  and then plug the values in so find the y-intercept ('b')

5 = (-1/2)(-2) + b

5 = 1 + b

b = 4

put it all together:  y = -1/2x + 4

Plzzz helpppppp!!!!!!

Answers

Answer:

(c) [tex]h(3) = 1[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Find h(3)

The formula to use in solving this is:

[tex]y = h(x)[/tex]

Substitute 3 for x

[tex]y = h(3)[/tex]

From the attached graph, the value od x = 3 points to the value of y = 1.

So, we have:

[tex]y = 1[/tex]


QUESTION: A survey of students in a homeroom class explored the
relationship between gender and participation in the school band. What
is a reasonable conclusion to draw from the data?*

Answers

Answer:

ill say its c but im not that sure

Step-by-step explanation:

What is the answer to the question?

Answers

Answer:

exponential function i think

Step-by-step explanation:

Elijah invested $280 in an account paying an interest rate of 2.1% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $360?

Answers

Answer: 12

Step-by-step explanation:

From a board 8 feet in length, Emmet cut two 2 ⅓ foot bookshelves. How much of the board remained?

Answers

Answer:

3 2/5

I converted these into decimals, because I find it easier ^.^

We have an 8 feet board, and we twice remove 2 1/3 from that number.

8 - 2 1/3 = 5.7

5.7 - 2 1/3 = 3.4 or 3 2/5

~Hope this helps~

3 2/5 there was that much board left

What type of function is f(x)=2(1/7)^x?
Linear
Exponential Decay
Exponential Growth
None of the Above

Answers

Answer:

B) Exp. Decay

Step-by-step explanation:

Because the term getting raised to a power is under 1, the function immediately starts going down and approaches negative infinity as x approaches infinity.

The type of function is f(x)=2(1/7)^x is Exponential Decay, the correct option is B.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

Function; f(x)=2(1/7)^x

Now,

The function has the form f(x)=abx

where a and b are constants and b is between 0 and 1. In this case, a is 2 and b is 1/7, which is less than 1. This means that the function decreases as x increases.

Therefore, by the given function the answer will be Exponential Decay.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

Calculate the value of x
35 degree 2x+16 4x+3

Answers

Is that supposed to be an equal sign between the 16 and 4x?

3 How many more cake
pops does the neighbor need to sell so that Callie can make a
profit of $5.00? Show
your
work.

Answers

Answer:

you didint explainded well

Step-by-step explanation:

A bag contains 4 red, 3 green, 2 yellow marbles. One marble is randomly chosen. What is the probability that the marble picked is red?
Answers are
A. 4/5
B.1/4
C. 1/3
D.4/9

Answers

Answer:

D

Step-by-step explanation:

total marbles

9

red marbles- 4

so prob is 4/9 or D

if my answer helps please mark as brainliest

Answer:

D

Step-by-step explanation:

4+3+2= 9

4 of the 9 are red and we can not simplify.

180 miles in 4 hours at what rate how long will it take to drive 270 miles

Answers

Answer:

6

Step-by-step explanation:

180 / 4 = 45

45mi = 1hr

270 / 6 = 45

Whoever is awake I need help with math points and brainlest

Answers

Answer:

the first one or A. hope this helps.

Step-by-step explanation:

How many boxes did Lamar sell?
How many boxes did Jina sell?

Answers

Where’s the question??

given that angle one is approximately equal to angle two, and angle three is approximately equal to angle one, prove line xy is parallel to line wv (using the statements and reasons columns)​

Answers

Answer :

Statements :-

1. Segment XY is parallel to segment WV.

2. Angle 1 is congruent to angle 2.

3. Angle 3 is congruent to angle 1.

4. Angle XMY is congruent to angle VMW.

Reasons :-

1. Given

2. Given

3. Given

4. SSS (Side-Side-Side)

Hope this helps, thank you !!

Jackie has $250 in her bank account and makes $25 every time she babysits. Write an expression in simplest form representing how much Jackie has in her account after babysitting t times

Answers

Step-by-step explanation:

y = 25t + 250

y is the total amount

t is number of times babysitting

sketch the graph of each function. Then State the domain, range and increasing, decreasing intervals. Part 3. ​

Answers

Answer:

19) Domain: - ∞ < x < ∞                    20) Domain:  - ∞ < x < ∞

Range: - ∞ < y < ∞                                  Range: - ∞ < y < ∞

Increases throughout                            Decreases throughout

Step-by-step explanation:

Given the parent function " y = ∛x" we know that the first graph should have a vertical shift down 2 units, and a horizontal shift 4 units to the right. There is no vertical stretch since there is no coefficient. (Check first graph)

Domain: - ∞ < x < ∞

Range: - ∞ < y < ∞

Increases throughout

______________________________

For the second graph there should be a vertical shift down three units, a horizontal shift 1 unit to the left, and a vertical stretch by a factor of - 1. (Check second graph)

Domain: - ∞ < x < ∞

Range: - ∞ < y < ∞

Decreases throughout

A book and a magazine cost 9.00. If a book costs 3$ more than a magazine , what is the cost of each

Answers

the book is $6 the magazine is $3
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